tag:blogger.com,1999:blog-86322095365223597372024-03-19T05:48:49.174-03:00MATEMÁTICA SERIADAVergniaudhttp://www.blogger.com/profile/17556154627187342081noreply@blogger.comBlogger314125tag:blogger.com,1999:blog-8632209536522359737.post-14085973667612272622024-03-02T10:09:00.003-03:002024-03-02T10:09:24.742-03:00ATIVIDADE EXTRACLASSE ÁREAS DE FIGURAS PLANAS<p> </p><p align="center" class="MsoNormal" style="text-align: center;"><span style="font-family: Verdana, "sans-serif"; font-size: 12pt;"><br /><b>
Área de Figuras Planas</b><span style="color: blue;"><o:p></o:p></span></span></p>
<p align="center" class="MsoNormal" style="text-align: center;"><span style="font-size: 12.0pt; mso-bidi-font-size: 10.0pt;"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Verdana","sans-serif"; font-size: 12.0pt; mso-bidi-font-size: 10.0pt;">1. Determine a
área de uma sala quadrada, sabendo que a medida de seu lado é 6,25 m. </span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Verdana","sans-serif"; font-size: 12.0pt; mso-bidi-font-size: 10.0pt;"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Verdana","sans-serif"; font-size: 12.0pt; mso-bidi-font-size: 10.0pt;">2. Vamos calcular
a área de uma praça retangular, em que o comprimento é igual a 50 m e sua
largura mede 35,8 m. </span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Verdana","sans-serif"; font-size: 12.0pt; mso-bidi-font-size: 10.0pt;"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Verdana","sans-serif"; font-size: 12.0pt; mso-bidi-font-size: 10.0pt;">3. Calcule a área
de um retângulo, em que a base mede 24 cm e sua altura mede a metade da base. </span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Verdana","sans-serif"; font-size: 12.0pt; mso-bidi-font-size: 10.0pt;"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Verdana","sans-serif"; font-size: 12.0pt; mso-bidi-font-size: 10.0pt;">4. É necessário
um certo número de pisos de 25 cm x 25 cm para cobrir o piso de uma cozinha com
5 m de comprimento por 4 m de largura. Cada caixa tem 20 pisos. Supondo que
nenhum piso se quebrará</span><span style="font-size: 12pt;"> </span><span style="font-family: Verdana, "sans-serif"; font-size: 12pt;">durante o
serviço, quantas caixas são necessárias para cobrir o piso da cozinha? </span></p><p class="MsoNormal" style="text-align: justify;"><span style="font-family: Verdana, "sans-serif"; font-size: 12pt;"><br /></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Verdana","sans-serif"; font-size: 12.0pt; mso-bidi-font-size: 10.0pt;">5. Quantos metros
de tecido, no mínimo, são necessários para fazer uma toalha para uma mesa que
mede 200 cm de comprimento por 230 cm de largura? </span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Verdana","sans-serif"; font-size: 12.0pt; mso-bidi-font-size: 10.0pt;"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Verdana","sans-serif"; font-size: 12.0pt; mso-bidi-font-size: 10.0pt;">6. Na minha sala
de aula, o piso é coberto com pisos sintéticos que medem 30 cm x 30 cm. Contei
21 lajotas paralelamente a uma parede e 24 pisos na direção perpendicular. Qual
a área dessa sala? <sup> </sup></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Verdana","sans-serif"; font-size: 12.0pt; mso-bidi-font-size: 10.0pt;"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Verdana","sans-serif"; font-size: 12.0pt; mso-bidi-font-size: 10.0pt;">7. Um pintor foi
contratado para pintar uma sala retangular que mede 6,5 m x 7 m. Para evitar
que a tinta respingue no chão ele vai forrar a sala com folhas de jornal.
Quantos metros de folha de jornal ele vai precisar? </span></p><p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Verdana","sans-serif"; font-size: 12.0pt; mso-bidi-font-size: 10.0pt;"><br /></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Verdana","sans-serif"; font-size: 12.0pt; mso-bidi-font-size: 10.0pt;">8. Determine a área
de um triângulo, sabendo que sua base mede 3 cm e sua altura mede 5 cm. </span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Verdana","sans-serif"; font-size: 12.0pt; mso-bidi-font-size: 10.0pt;"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Verdana","sans-serif"; font-size: 12.0pt; mso-bidi-font-size: 10.0pt;">9. Vamos calcular
a área de um losango, sabendo que sua diagonal maior mede 5 cm e a diagonal
menor mede 2,4 cm. </span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Verdana","sans-serif"; font-size: 12.0pt; mso-bidi-font-size: 10.0pt;"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Verdana","sans-serif"; font-size: 12.0pt; mso-bidi-font-size: 10.0pt;">10. Sabendo que a
base maior de um trapézio mede 12 cm, base menor mede 3,4 cm e sua altura mede
5 cm. Calcule a área deste trapézio. </span></p><p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Verdana","sans-serif"; font-size: 12.0pt; mso-bidi-font-size: 10.0pt;"><br /></span></p><p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Verdana","sans-serif"; font-size: 12.0pt; mso-bidi-font-size: 10.0pt;"><br /></span></p>Vergniaudhttp://www.blogger.com/profile/17556154627187342081noreply@blogger.com0tag:blogger.com,1999:blog-8632209536522359737.post-33854525328907751092024-02-29T10:01:00.001-03:002024-02-29T10:01:48.367-03:00DOMINÓ DE MATEMÁTICA<p> <b>O dominó</b> pode ser usado na sala com os alunos para assimilar diversos <b>assuntos de Matemática</b>. Segue abaixo dicas de como confeccionar o dominó.</p><p><br /></p><p><b>1° passo</b>: desenhar uma folha usando régua e lápis conforme o modelo abaixo. </p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiawyp4MhEFNAnJ5NwH6TGAuJb8yTUU5dNW-m0uKNgQiWopGwKAyzi3WZx7OfQ-QfMZZizkHMWkDr1zytYDVPZjbgjjkzr8JJ8NTSF5BGeM1QenABOEauBOx6UWHtF-uIOJtdu0_HUM4nSh7Zjxp27oxvA8S2vRYrULUKMrpJK_R7BXPrz8SUTdnzLk/s480/Imagem%20capturada-29-02-2024%2009-27-13.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="480" data-original-width="354" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiawyp4MhEFNAnJ5NwH6TGAuJb8yTUU5dNW-m0uKNgQiWopGwKAyzi3WZx7OfQ-QfMZZizkHMWkDr1zytYDVPZjbgjjkzr8JJ8NTSF5BGeM1QenABOEauBOx6UWHtF-uIOJtdu0_HUM4nSh7Zjxp27oxvA8S2vRYrULUKMrpJK_R7BXPrz8SUTdnzLk/s16000/Imagem%20capturada-29-02-2024%2009-27-13.png" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: left;"><b><br /></b></div><div class="separator" style="clear: both; text-align: left;"><b>2° passo</b>: preencher o dominó e depois recortar seguindo a linha vermelha.</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg-CSTO5IMn0Amx6IdSEPdJoPryCKjCsGbP_UlggmEUASkrdwjIVOlCELLOjpZ12RZChuJJKFZXUgyp5TbyL7W-VHFrR-hDYbb-renpf97rDBqxDQOsbz5DX0QBAZbpeOqwGtFgs5bpaJje1VYxmH1DiqkakVaSJWqynfA7qbDm3ppm_ZDogP9Mp6TC/s471/Imagem%20capturada-29-02-2024%2009-23-27.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="471" data-original-width="348" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg-CSTO5IMn0Amx6IdSEPdJoPryCKjCsGbP_UlggmEUASkrdwjIVOlCELLOjpZ12RZChuJJKFZXUgyp5TbyL7W-VHFrR-hDYbb-renpf97rDBqxDQOsbz5DX0QBAZbpeOqwGtFgs5bpaJje1VYxmH1DiqkakVaSJWqynfA7qbDm3ppm_ZDogP9Mp6TC/s16000/Imagem%20capturada-29-02-2024%2009-23-27.png" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: left;"><b><br /></b></div><div class="separator" style="clear: both; text-align: left;"><b>3° passo</b>: agora que o jogo já foi confeccionado partir para o jogo. As linhas destacadas em vermelho é para orientar o corte de cada peça.</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZrCw_gP-VqT4n_d6QbbaOg6Gb149BkDB77AqWBn9eagc_v2zh6SJWgJGPWLHTAo9wMwbBDMBRdvk6DoAH3e9l1GS-FSWngsVjtJfe0NDFz5i8Xg5clE5p3u_jgEswsGbdsyG3jccnZlqYv0Dj9YsvPgcOeIRwCBx9cluTKzF5Ljy61HhxInu53W2m/s466/Imagem%20capturada-29-02-2024%2009-35-04.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="466" data-original-width="366" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZrCw_gP-VqT4n_d6QbbaOg6Gb149BkDB77AqWBn9eagc_v2zh6SJWgJGPWLHTAo9wMwbBDMBRdvk6DoAH3e9l1GS-FSWngsVjtJfe0NDFz5i8Xg5clE5p3u_jgEswsGbdsyG3jccnZlqYv0Dj9YsvPgcOeIRwCBx9cluTKzF5Ljy61HhxInu53W2m/s16000/Imagem%20capturada-29-02-2024%2009-35-04.png" /></a></div><br /><div class="separator" style="clear: both; text-align: left;"><br /></div><b>Observação:</b> estes módulos vai esta em PDF na pasta de <a href="https://drive.google.com/file/d/1AB64rNo6IJdJLEUmel8ArWjPmdIu6ppw/view?usp=sharing" target="_blank">Downloads</a>. <br /><div class="separator" style="clear: both; text-align: left;"><br /></div><br /> <p></p>Vergniaudhttp://www.blogger.com/profile/17556154627187342081noreply@blogger.com0tag:blogger.com,1999:blog-8632209536522359737.post-29798973868329953492024-02-27T09:42:00.002-03:002024-02-27T10:00:38.214-03:00ATIVIDADE PARA OS ALUNOS, COM TODAS OPERAÇÕES<p> O aluno vai completando todos quadrinhos até responder todas <b>as operações</b>.</p><p><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjVMZe_4ROkkSulyRQjHtfMhozR9C9hZ074jMD9Uf6-8qc88nYeiVaFkNBOQGnnsftbCuO7m6_VEOsV20PouPXAlfJdTunW96nFxoui26Wp9CUH5F2J6YUIVvLT8o03bEod5AGb3c1NaLKtyoRXFsguabnRkRxiurhuhGoAuRHI8CuMBkfaex01zxuY/s567/por%20preencher.png" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="567" data-original-width="466" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjVMZe_4ROkkSulyRQjHtfMhozR9C9hZ074jMD9Uf6-8qc88nYeiVaFkNBOQGnnsftbCuO7m6_VEOsV20PouPXAlfJdTunW96nFxoui26Wp9CUH5F2J6YUIVvLT8o03bEod5AGb3c1NaLKtyoRXFsguabnRkRxiurhuhGoAuRHI8CuMBkfaex01zxuY/s16000/por%20preencher.png" /></a></p><p><b><br /></b></p><p><b>Atividade preenchida </b></p><p><b><br /></b></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgOrgzXNbTiObS0XgRSq0E4Z_ma3xDAeDpCuiNiz0q02GrTF8kTcVTW8I1PDbFPwoXozRuN16lPAUgYjOO5PySJ8vNGL3_9sqOT_bmLjmrNcjAFzN9Sqz1vlZftMvgFgaQpgk2l_i7-2SUkMdBijJ2qcum2_xBsNTqHuzYpkIhT9Dt4TWwZBI1QFoyB/s568/preenchida.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="568" data-original-width="478" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgOrgzXNbTiObS0XgRSq0E4Z_ma3xDAeDpCuiNiz0q02GrTF8kTcVTW8I1PDbFPwoXozRuN16lPAUgYjOO5PySJ8vNGL3_9sqOT_bmLjmrNcjAFzN9Sqz1vlZftMvgFgaQpgk2l_i7-2SUkMdBijJ2qcum2_xBsNTqHuzYpkIhT9Dt4TWwZBI1QFoyB/s16000/preenchida.png" /></a></div><br /><b><br /></b><p></p><p><b>Esta mesma atividade se encontra na pasta de <a href="https://drive.google.com/file/d/1-BaZkptp912B2DbN3xUB4wAuEocNidVO/view?usp=sharing" target="_blank">Download</a>.</b></p>Vergniaudhttp://www.blogger.com/profile/17556154627187342081noreply@blogger.com0tag:blogger.com,1999:blog-8632209536522359737.post-2518045709072528272024-02-26T21:26:00.004-03:002024-02-26T21:26:43.121-03:00MULTIPLICAÇÃOEsta atividade pode ser feita para alunos dos<b> anos iniciais do fundamental menor.</b><div><br /></div><div>Desenha no quadro dois círculos (figura 1 abaixo) e depois cada aluno vai e responde uma das multiplicação até preencher o <b>círculo</b> todo.</div><div><br /></div><div><b>figura 1</b></div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg4xL4uFYIotjQ71BEux7nwJ4HcVNnIxmX33qdi_R2cHlrnY2Mt5ajQGJEgX9ccze9_OS75wpuyfW_MUt_bjbmqVdLRkFDoNsur1pUNwdqqkgePYNZL-QSuKSBeG7BzJdWoHv9pb3TAWeOLbSDezLUUChUU6bFH4mTm6-BeXjkUfeivefufiVkOI-m4/s1149/Imagem%20capturada-26-02-2024%2021-10-01.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1085" data-original-width="1149" height="378" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg4xL4uFYIotjQ71BEux7nwJ4HcVNnIxmX33qdi_R2cHlrnY2Mt5ajQGJEgX9ccze9_OS75wpuyfW_MUt_bjbmqVdLRkFDoNsur1pUNwdqqkgePYNZL-QSuKSBeG7BzJdWoHv9pb3TAWeOLbSDezLUUChUU6bFH4mTm6-BeXjkUfeivefufiVkOI-m4/w400-h378/Imagem%20capturada-26-02-2024%2021-10-01.png" width="400" /></a></div><div><br /></div><div><br /></div>Vejamos outra figura agora completa.<br /><div> <b>figura 2</b></div><div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiBBwAmZmm8jNV3y_qeNUjmoCNXwV-MCyZghQB5cIDygopWXYTgxHYxLe2sWCeo7LzrjoCS_GhsHUQUHVQET9vbqryLoygDcOvSHTpNq2-vsSUcdTnCmzovSAqvssDCPX0C-oQXqgsGu7SeNHNTBKe3ZH31oVRtyd_u7CJgfdf76RjtG28Ylj-oSXrr/s1169/Imagem%20capturada-26-02-2024%2021-15-49.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1069" data-original-width="1169" height="366" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiBBwAmZmm8jNV3y_qeNUjmoCNXwV-MCyZghQB5cIDygopWXYTgxHYxLe2sWCeo7LzrjoCS_GhsHUQUHVQET9vbqryLoygDcOvSHTpNq2-vsSUcdTnCmzovSAqvssDCPX0C-oQXqgsGu7SeNHNTBKe3ZH31oVRtyd_u7CJgfdf76RjtG28Ylj-oSXrr/w400-h366/Imagem%20capturada-26-02-2024%2021-15-49.png" width="400" /></a></div><br /><div><br /></div><div><br /></div>Vergniaudhttp://www.blogger.com/profile/17556154627187342081noreply@blogger.com0tag:blogger.com,1999:blog-8632209536522359737.post-8736740707108102332024-02-23T21:06:00.000-03:002024-02-23T21:06:16.970-03:00MEDIDAS DE COMPRIMENTO<p> Transformação das unidades de medida de comprimento</p><p><b>Os múltiplos do metro: </b>quilômetro (<b>km</b>); hectômetro(<b>hm</b>) e decâmetro(<b>dam</b>)</p><p><b>Os submúltiplos do metro: </b>decímetro(<b>dm</b>); centímetro(<b>cm</b>) e milímetro(<b>mm</b>).</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhVF5e5jyP4-gnZcw-HHHRwb32bQMO_d3i6y5Hh-VtZGkVLK8vlywu2EhsANsxdfVLeGnssbo5o7GsnbU91eN_OFEpPThQV7kCeCOrDuEBamS_l_JKlqVbBj2PYdH0tLz_7lFUxK_4pjSV7XDY0vCFiqUxOp6WuddU6a3KAkjqzge1-UMax83EmfZ_x" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="34" data-original-width="543" src="https://blogger.googleusercontent.com/img/a/AVvXsEhVF5e5jyP4-gnZcw-HHHRwb32bQMO_d3i6y5Hh-VtZGkVLK8vlywu2EhsANsxdfVLeGnssbo5o7GsnbU91eN_OFEpPThQV7kCeCOrDuEBamS_l_JKlqVbBj2PYdH0tLz_7lFUxK_4pjSV7XDY0vCFiqUxOp6WuddU6a3KAkjqzge1-UMax83EmfZ_x=s16000" /></a></div><br /><h3 style="text-align: left;">Exemplos:</h3><p></p><p><b>a) Transforme 4 km em metro.</b></p><p>Coloque o número 4 na casa dos quilômetros e completa as próximas casas com zero até a casa indicada por metro.</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjUtn0HyrOz7m4J1SK63Op2qm3CKUqF_8fCNkn2tpv8xJNlwUs7PWz6Z2-b_A5mqNKeiuP1EhbgyOCq6SAhXORX5P9-rv1NU3_bQ-Iz5y1FKpCjHrad483qrK4cbtPsxDTdMZADPQYGUzzL8Kio4dwM5h6UViZwqzGqR3RR7xllZeWWlXfSWSByF-R_" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="64" data-original-width="600" src="https://blogger.googleusercontent.com/img/a/AVvXsEjUtn0HyrOz7m4J1SK63Op2qm3CKUqF_8fCNkn2tpv8xJNlwUs7PWz6Z2-b_A5mqNKeiuP1EhbgyOCq6SAhXORX5P9-rv1NU3_bQ-Iz5y1FKpCjHrad483qrK4cbtPsxDTdMZADPQYGUzzL8Kio4dwM5h6UViZwqzGqR3RR7xllZeWWlXfSWSByF-R_=s16000" /></a></div><br />Resposta final: <b>4000 m.</b><p></p><p><br /></p><p><b>b) Transforme 5 mm em metro:</b></p><p>Coloque o número 5 na casa do milímetro e completa as próximas casas com zero até a casa indicada por metro.</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhzq1fFBZ7d2HXcdmsgNmYAvp79Gs94Vtc-NAQLDHosECD4FLV0Jiftjdri_pmNXM6GqQYAB4YYheQUVm0wmVviFBrSOrgnYG7lSEuujkmQMDyOzu9GruSFxOD7aR_wAYGqXm1tsqIPVSByExgFmEwEduvBIcS-ayV1ryJ_IyFQQwHqS4n-1tB9Pvvw" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="53" data-original-width="587" src="https://blogger.googleusercontent.com/img/a/AVvXsEhzq1fFBZ7d2HXcdmsgNmYAvp79Gs94Vtc-NAQLDHosECD4FLV0Jiftjdri_pmNXM6GqQYAB4YYheQUVm0wmVviFBrSOrgnYG7lSEuujkmQMDyOzu9GruSFxOD7aR_wAYGqXm1tsqIPVSByExgFmEwEduvBIcS-ayV1ryJ_IyFQQwHqS4n-1tB9Pvvw=s16000" /></a></div><p><br /></p>Resposta final: <b>0,005 m.</b><br /><br /><p></p><p><b>c) Transforme 7 dam em metro.</b></p><p>Coloque o número 7 na casa do decâmetro e completa as próximas casas com zero até a casa indicada por metro.</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgZdoSw5bd4xjS0G8F_LNSS4j7TyOhI4P-GXPb7uSYAPrwSxXx0ZU3myIj10M3QL31F2zoEKmBIEmrhKXd6VCUdMzcD_ZuyrAFyg6Qu8yDRhNzgd5SK0yn3jxib9wMcFsM4FISZT_qMob770NhizTje5WnohXF-YCwOx-NsEpNJ3yKQTbjhuF6ua4MV" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="56" data-original-width="590" src="https://blogger.googleusercontent.com/img/a/AVvXsEgZdoSw5bd4xjS0G8F_LNSS4j7TyOhI4P-GXPb7uSYAPrwSxXx0ZU3myIj10M3QL31F2zoEKmBIEmrhKXd6VCUdMzcD_ZuyrAFyg6Qu8yDRhNzgd5SK0yn3jxib9wMcFsM4FISZT_qMob770NhizTje5WnohXF-YCwOx-NsEpNJ3yKQTbjhuF6ua4MV=s16000" /></a></div><br />Resposta final: <b>70 m.</b><p></p><p></p><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;"><b>d) Transforme 6 cm em metro.</b></div><p></p><div class="separator" style="clear: both;"><p>Coloque o número 6 na casa do centímetro e completa as próximas casas com zero até a casa indicada por metro.</p><p></p></div><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgtpPp2GT4mSrd37Zpw_GkiTLngTRr-GDnvM0dR5rcTEXubExkLpaAJuB-MTtqGW52TtTw0Sh1Y1iCtehixj0B_ZHrZbU1cewgIGLZzeyigbrHksCOcIUJnXWm3OSAI3nFxrDmynvpdWfUYd78YKrP5N2EdJH74bzVOvMC58fsNBtcQ__47_7p6v0mW" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="56" data-original-width="586" src="https://blogger.googleusercontent.com/img/a/AVvXsEgtpPp2GT4mSrd37Zpw_GkiTLngTRr-GDnvM0dR5rcTEXubExkLpaAJuB-MTtqGW52TtTw0Sh1Y1iCtehixj0B_ZHrZbU1cewgIGLZzeyigbrHksCOcIUJnXWm3OSAI3nFxrDmynvpdWfUYd78YKrP5N2EdJH74bzVOvMC58fsNBtcQ__47_7p6v0mW=s16000" /></a></div><br /><br />Resposta final: <b>0,06 m.</b><p></p><p><br /></p><p><b>e) Transforme 2 dm em metro</b>.</p><p></p><p></p><p></p><div class="separator" style="-webkit-text-stroke-width: 0px; clear: both; color: black; font-family: "Times New Roman"; font-size: medium; font-style: normal; font-variant-caps: normal; font-variant-ligatures: normal; letter-spacing: normal; orphans: 2; text-align: left; text-decoration-color: initial; text-decoration-style: initial; text-decoration-thickness: initial; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px;"><p style="font-weight: 400;">Coloque o número 2 na casa do decímetro e completa as próximas casas com zero até a casa indicada por metro.</p><p></p><div class="separator" style="clear: both; font-weight: 400; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgdCN80WJE3AXjPIlJF8b5V62BHJ2ni0m0PXGem5HSA4Frazw__vWkJq9g-ORt50509Hf3RpWU9Rq1b235usXA1K5NVFqPW4aqSuhB0EVT3QV16sNJdFtmry_olVbZUHJp80Ax-GWVQSgzejyZ46V8Ef62lm2lUO2C6xcvJc3Q6b3_6fbYbx5JenKwV" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="56" data-original-width="595" src="https://blogger.googleusercontent.com/img/a/AVvXsEgdCN80WJE3AXjPIlJF8b5V62BHJ2ni0m0PXGem5HSA4Frazw__vWkJq9g-ORt50509Hf3RpWU9Rq1b235usXA1K5NVFqPW4aqSuhB0EVT3QV16sNJdFtmry_olVbZUHJp80Ax-GWVQSgzejyZ46V8Ef62lm2lUO2C6xcvJc3Q6b3_6fbYbx5JenKwV=s16000" /></a></div><div class="separator" style="clear: both; font-weight: 400; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: left;">Resposta final: <b>0,2 m</b>.</div><div class="separator" style="clear: both; font-weight: 400; text-align: left;"><br /></div><div class="separator" style="clear: both; font-weight: 400; text-align: left;"><br /></div><p></p><p><b>f) Transforme 19 cm em metro.</b></p><p style="font-weight: 400;"></p><p style="font-weight: 400;"></p><p style="font-weight: 400;"></p><div class="separator" style="clear: both;"><p></p><div class="separator" style="clear: both; font-weight: 400; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjPPr8M5fUYvGuMh-4_6x8RWK6TjR9OWBnUWtyTH3QK2ZbfqU67d7tTsYHfT6yRrmnWrq_i8Z7bpk48G-Y9DOOy6JHXYnzY6hnzMcmYbXxDMq3xa5q0RrvfAdI5W4sRi9DoI_VJY-E4vM3YLd8NKfA5n5eLDGpcsJfMxNPnaX90x5v3gFDdFsi19tOh" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="67" data-original-width="590" src="https://blogger.googleusercontent.com/img/a/AVvXsEjPPr8M5fUYvGuMh-4_6x8RWK6TjR9OWBnUWtyTH3QK2ZbfqU67d7tTsYHfT6yRrmnWrq_i8Z7bpk48G-Y9DOOy6JHXYnzY6hnzMcmYbXxDMq3xa5q0RrvfAdI5W4sRi9DoI_VJY-E4vM3YLd8NKfA5n5eLDGpcsJfMxNPnaX90x5v3gFDdFsi19tOh=s16000" /></a></div><div class="separator" style="clear: both; text-align: left;">Resposta: <b>0,19 m</b>.</div><br /><br /><p></p></div><p style="font-weight: 400;"></p></div>Vergniaudhttp://www.blogger.com/profile/17556154627187342081noreply@blogger.com0tag:blogger.com,1999:blog-8632209536522359737.post-64316127600612513232024-02-16T10:56:00.004-03:002024-02-16T10:56:55.893-03:00SEMELHANÇAS DE TRIÂNGULOS<p> Dois triângulos são semelhantes quando têm; <b>os ângulos internos respectivamente congruentes</b> ou <b>os</b> <b>lados correspondentes proporcionais.</b></p><p>Vejamos alguns exemplos de <b>triângulos semelhantes.</b></p><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><br /></div></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgZ4lIGWHVLpCyfvug0-xuaeXmKyJLd02PlzxMamwU-jnEmqXwLTj9kXKa45o-cDixd6fzZpdIgZqYXwupYtJIy62NfOaTJ5sZ-qsswIG8vITejEeiuyEB5w70cnvyjlHD8F2xLE13O54mPW9KTVgkhaHsMHRRk_YlWFJSpwiR9sNyP14DfJHbOi4Ao" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="183" data-original-width="488" height="150" src="https://blogger.googleusercontent.com/img/a/AVvXsEgZ4lIGWHVLpCyfvug0-xuaeXmKyJLd02PlzxMamwU-jnEmqXwLTj9kXKa45o-cDixd6fzZpdIgZqYXwupYtJIy62NfOaTJ5sZ-qsswIG8vITejEeiuyEB5w70cnvyjlHD8F2xLE13O54mPW9KTVgkhaHsMHRRk_YlWFJSpwiR9sNyP14DfJHbOi4Ao=w400-h150" width="400" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: left;">* <b>Os ângulos internos são respectivamente congruentes.</b></div><div class="separator" style="clear: both; text-align: left;"><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgzj7DOvo7aKLV1YMBve6JTU8cJyJngRvr0AqEkgMzJ0Q5-npP4Ywqi_UJjYzvBg7EEn6w3iKjhW-zi8mPt09inqBzQGS61dTbhmL4Kj_kRKK8jAFIOabcM6UM8dEHHG8fWS5sLemfMrwU81g4cIOvN44Kh8bkVJ-YI0CgWbuU0XFR8Pfgq5bjFeo92" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="100" data-original-width="65" src="https://blogger.googleusercontent.com/img/a/AVvXsEgzj7DOvo7aKLV1YMBve6JTU8cJyJngRvr0AqEkgMzJ0Q5-npP4Ywqi_UJjYzvBg7EEn6w3iKjhW-zi8mPt09inqBzQGS61dTbhmL4Kj_kRKK8jAFIOabcM6UM8dEHHG8fWS5sLemfMrwU81g4cIOvN44Kh8bkVJ-YI0CgWbuU0XFR8Pfgq5bjFeo92=s16000" /></a></div></div></div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;"><div class="separator" style="clear: both; text-align: center;"><img alt="" data-original-height="416" data-original-width="580" height="288" src="https://blogger.googleusercontent.com/img/a/AVvXsEhsa7TCzDzYqbPYKZll7ihg1ry46jtTqBaclsZ50z6Ug-fxzRpJI-zfxIIwxbaQ7XqELxpzyXVkzf2XgfulML9op9je8FdZ3YsepjaKbsJJCuIMffC3n17qN2xvCXIHYkqsSvVz18DOqZZmN8vOEsvYEjQaU0NWibV6N5bu6-gw8UU1nxdawVXqyzQk=w400-h288" width="400" /></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both;"><br /></div></div></div><div class="separator" style="clear: both;">* Os lados correspondentes são<b> proporcionais.</b></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgiwX6N49iFmW5YU6NUmYm3vnXuRz-DHWXIy257LDfv5IDT8ScpSsamTTH5HZI0UcEMteQtc1T7BLL3l7sFni1jW8WhuqkI2SogiZMz6qQ5TwlwqyR0juF6lOFXvyAzCaN4Gv5y5kqY8XWpG4FHXY9v51d_kadcARkLReUBm4sXvhor0PemnrNX7GR2" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="69" data-original-width="153" src="https://blogger.googleusercontent.com/img/a/AVvXsEgiwX6N49iFmW5YU6NUmYm3vnXuRz-DHWXIy257LDfv5IDT8ScpSsamTTH5HZI0UcEMteQtc1T7BLL3l7sFni1jW8WhuqkI2SogiZMz6qQ5TwlwqyR0juF6lOFXvyAzCaN4Gv5y5kqY8XWpG4FHXY9v51d_kadcARkLReUBm4sXvhor0PemnrNX7GR2=s16000" /></a></div><br /><br /></div><h3><b>Casos de semelhanças</b></h3></div><div class="separator" style="clear: both; text-align: center;"><div style="text-align: left;"><b>1° caso: AA</b></div><div style="text-align: left;">Dois triângulos que possuem dois ângulos respectivamente congruentes são semelhantes.</div><div style="text-align: left;"><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjQ3tAQ-FFxJJrwGseR760DxVkEkaJkQJYDvEqAkJuk9JdyM7uB9bEXsxkNexkHSjVkISsnrFAE6noWBmzxOKS1HEAZo9feOtSGiyAtbh_JfJ3dPg0gTk58aSZbKFRTn4rWjb8l3rtWJWworvD65mTTlHg7SvXKoE2V2rCmHhjO5OOhi-5DxC8vdaCd" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="56" data-original-width="202" height="56" src="https://blogger.googleusercontent.com/img/a/AVvXsEjQ3tAQ-FFxJJrwGseR760DxVkEkaJkQJYDvEqAkJuk9JdyM7uB9bEXsxkNexkHSjVkISsnrFAE6noWBmzxOKS1HEAZo9feOtSGiyAtbh_JfJ3dPg0gTk58aSZbKFRTn4rWjb8l3rtWJWworvD65mTTlHg7SvXKoE2V2rCmHhjO5OOhi-5DxC8vdaCd=w200-h56" width="200" /></a></div><br /></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiNA0YSGpa9q27IGCQt3NzhcCPH7TGNjz0FHBaXZ5COiEkfbL69t1eXrlLX2GaCT3vjZf-269iKF27T41erOWZmX71gwelTLDdZTrLyEe3P5oqBJrSAzdzK2eH7YSGVKNVcTX9Y5yjPuP66CGdGrwT-l5_Ut7I9Glo1aBH14c5OTH7wK89tZVcVp14P" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="353" data-original-width="502" height="225" src="https://blogger.googleusercontent.com/img/a/AVvXsEiNA0YSGpa9q27IGCQt3NzhcCPH7TGNjz0FHBaXZ5COiEkfbL69t1eXrlLX2GaCT3vjZf-269iKF27T41erOWZmX71gwelTLDdZTrLyEe3P5oqBJrSAzdzK2eH7YSGVKNVcTX9Y5yjPuP66CGdGrwT-l5_Ut7I9Glo1aBH14c5OTH7wK89tZVcVp14P" width="320" /></a></div><br /><b>2° caso: LAL</b></div><div style="text-align: left;">Dois triângulos que possuem dois lados correspondentes proporcionais e os ângulos correspondentes entre eles congruentes são semelhantes.</div><div style="text-align: left;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjxe-cnNeQOR2qaepQKE7WifffefPRMWLf0EIZyOLWlYxEclmTeADjK5D54ZmTQRAX6SINdPxJj2mT88jig4nt-TZD9Ms0nV4RCUQIvWu3VmbzPfBNh7Y20SBcRCOS7sivgoS4HoyhyFKGpcaGdn0buSpXnEtojBsdLS_tKHfVPEHnENCXagvUzPnS8" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="39" data-original-width="218" height="36" src="https://blogger.googleusercontent.com/img/a/AVvXsEjxe-cnNeQOR2qaepQKE7WifffefPRMWLf0EIZyOLWlYxEclmTeADjK5D54ZmTQRAX6SINdPxJj2mT88jig4nt-TZD9Ms0nV4RCUQIvWu3VmbzPfBNh7Y20SBcRCOS7sivgoS4HoyhyFKGpcaGdn0buSpXnEtojBsdLS_tKHfVPEHnENCXagvUzPnS8=w200-h36" width="200" /></a></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEi8p2c9C7A-dAvbQx9NyTPJcVBYagpD23iHVcJK7YvV5bgek68nSUCgU0Y47jMkma9PW2C1GU59kbHB41c9bXQecoy9aZQ0zje_akKVJHaKkWTg77GGws_ilbpJNjXDeJ71T2DiKjJvmf1xQ2bADPKqZf1VrrDD-kefHC08l5GiiUkQ-itGNqxBIgPc" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="50" data-original-width="96" height="31" src="https://blogger.googleusercontent.com/img/a/AVvXsEi8p2c9C7A-dAvbQx9NyTPJcVBYagpD23iHVcJK7YvV5bgek68nSUCgU0Y47jMkma9PW2C1GU59kbHB41c9bXQecoy9aZQ0zje_akKVJHaKkWTg77GGws_ilbpJNjXDeJ71T2DiKjJvmf1xQ2bADPKqZf1VrrDD-kefHC08l5GiiUkQ-itGNqxBIgPc=w126-h31" width="126" /></a></div><br /><br /><br /></div><div style="text-align: left;"><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhCFIS1VyBmcvqhxYDIAO5mNdx1mYl0aDk1vYqXaXtIf8jidLymYL0izCULMoYjHyJQgZLo4SxXo4eYezEuL8b9_xqF5gKCV-FG3rwV7VSr8J9VcNaeSV_Wh8MYoKTis5r05DshwvmE3HMLYMat0R4okgh9JgOpV_r7zKlShfwUsR2gc64PGK86wXTa" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="151" data-original-width="800" height="99" src="https://blogger.googleusercontent.com/img/a/AVvXsEhCFIS1VyBmcvqhxYDIAO5mNdx1mYl0aDk1vYqXaXtIf8jidLymYL0izCULMoYjHyJQgZLo4SxXo4eYezEuL8b9_xqF5gKCV-FG3rwV7VSr8J9VcNaeSV_Wh8MYoKTis5r05DshwvmE3HMLYMat0R4okgh9JgOpV_r7zKlShfwUsR2gc64PGK86wXTa=w432-h99" width="432" /></a></div><br /><br /></div><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div style="text-align: left;"><b>3° caso: LLL</b></div><div style="text-align: left;">Dois triângulos que possuem dois lados correspondentes proporcionais e os ângulos correspondentes entre eles congruentes são semelhantes.</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgf_lt_IXZ_NN2S53KEjo00K25aMs2396IKBQlz-2_gkJ8xqsl3hBzX_bURMs0hGFJo2azkP4fGAnIL_lSln-BX2AzW5F10BR46ChHmM0gNns2LvRjJZBEUQjM1Q-3rvBRuTSIcmDegaTfOc50kdUVflkPcUYGkfPTJvhuV9lDJ3u00MwT3_moEXz0d" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="74" data-original-width="323" height="73" src="https://blogger.googleusercontent.com/img/a/AVvXsEgf_lt_IXZ_NN2S53KEjo00K25aMs2396IKBQlz-2_gkJ8xqsl3hBzX_bURMs0hGFJo2azkP4fGAnIL_lSln-BX2AzW5F10BR46ChHmM0gNns2LvRjJZBEUQjM1Q-3rvBRuTSIcmDegaTfOc50kdUVflkPcUYGkfPTJvhuV9lDJ3u00MwT3_moEXz0d" width="320" /></a></div><br /><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgBlwA-_nVTgRaYUkLf-QxCIZnP_wpOfGZDs3NUbYeiog4JRpty3XRRBRaW5jRjGRcYdldTio2zOVSQT-eCct3yxrojkjimqq0rD8jOnCiRD8qcdmEvnzWV-Qdh7_qYijV1Ab54cULTrcokAEZx5ddVABFyz6FQB9Pw4yWctXvpn6lKXRW0vq_AyMcR" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="186" data-original-width="523" height="114" src="https://blogger.googleusercontent.com/img/a/AVvXsEgBlwA-_nVTgRaYUkLf-QxCIZnP_wpOfGZDs3NUbYeiog4JRpty3XRRBRaW5jRjGRcYdldTio2zOVSQT-eCct3yxrojkjimqq0rD8jOnCiRD8qcdmEvnzWV-Qdh7_qYijV1Ab54cULTrcokAEZx5ddVABFyz6FQB9Pw4yWctXvpn6lKXRW0vq_AyMcR" width="320" /></a></div><br /><br /> Vergniaudhttp://www.blogger.com/profile/17556154627187342081noreply@blogger.com0tag:blogger.com,1999:blog-8632209536522359737.post-2661693161000490562024-02-01T21:31:00.005-03:002024-02-01T21:31:48.860-03:00QUANTOS TRIÂNGULOS TÊM EM CADA FIGURA<p> </p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiAqtdhYC4dq65kJ53hPrzcgjBaZP-m79Co8HJ6WAac8aQkSZR1ZzwWNksNInbTz9QtrHzLlKaJ11OgC_m8OaWQDPDW36Nw1CFhboPWa4wCgUC_KdV7eN6ksu37s_kWjY_9JmjBJmmbiJMhOTAHMa3RMh6Nh4FKBA63WqzMmHUKUdRur3_mzrhTDXhx" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="151" data-original-width="172" height="176" src="https://blogger.googleusercontent.com/img/a/AVvXsEiAqtdhYC4dq65kJ53hPrzcgjBaZP-m79Co8HJ6WAac8aQkSZR1ZzwWNksNInbTz9QtrHzLlKaJ11OgC_m8OaWQDPDW36Nw1CFhboPWa4wCgUC_KdV7eN6ksu37s_kWjY_9JmjBJmmbiJMhOTAHMa3RMh6Nh4FKBA63WqzMmHUKUdRur3_mzrhTDXhx=w200-h176" width="200" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiLMbUgi6z7FsMWO4UszbnbmA3v-RZVYgoRwNsncaWycls7zXQwamSNtKislOpv4IroH3Db-A8FjS5ZHV-LmyY_D-90Wlvw5-mmTULnK-j2AMA1UBulttmELx5Pex0AS9JGUM7h_WuXC6yPuqDgADpyZIyNsFCmc0vrbsTzMszLV6-BguqmGmocVPlm" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="147" data-original-width="167" height="176" src="https://blogger.googleusercontent.com/img/a/AVvXsEiLMbUgi6z7FsMWO4UszbnbmA3v-RZVYgoRwNsncaWycls7zXQwamSNtKislOpv4IroH3Db-A8FjS5ZHV-LmyY_D-90Wlvw5-mmTULnK-j2AMA1UBulttmELx5Pex0AS9JGUM7h_WuXC6yPuqDgADpyZIyNsFCmc0vrbsTzMszLV6-BguqmGmocVPlm=w200-h176" width="200" /></a></div></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEg_z5AeEiDTGmF_a5cO37etQa3xfcHf2H5y9h26vzNVKMN8ZhBy3Dfz-JaoGoUwR0kiFfztCg6LOIHdp-sFJvOg0TvDS9N90lGoa66LhftaoSGnykrohklTc2LeDcFtLcb3nSrd_6ODhfhfR9dTHxykghBBjlh4W5s21ZiUgWBdrXBGUTfyImZsg0-D" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="160" data-original-width="168" height="190" src="https://blogger.googleusercontent.com/img/a/AVvXsEg_z5AeEiDTGmF_a5cO37etQa3xfcHf2H5y9h26vzNVKMN8ZhBy3Dfz-JaoGoUwR0kiFfztCg6LOIHdp-sFJvOg0TvDS9N90lGoa66LhftaoSGnykrohklTc2LeDcFtLcb3nSrd_6ODhfhfR9dTHxykghBBjlh4W5s21ZiUgWBdrXBGUTfyImZsg0-D=w200-h190" width="200" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEg9xT4Akh_Px-1tXdOgnPsPaQ-Xg1UfdTPKMu-uspC4XK_BJY2atSXy4kCgSS5pfUjRf9sArmm7Wymq-vk3XxyrvmU25xXZVCosaX--xxG7S7qUNAf5ZozSsI50NVTAlMvPgRFv6CV9b9vYh-YJ6fW7lW3AqsfZCLSib4VEtAWFCkOI2CCbv1iRehFZ" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="156" data-original-width="169" height="185" src="https://blogger.googleusercontent.com/img/a/AVvXsEg9xT4Akh_Px-1tXdOgnPsPaQ-Xg1UfdTPKMu-uspC4XK_BJY2atSXy4kCgSS5pfUjRf9sArmm7Wymq-vk3XxyrvmU25xXZVCosaX--xxG7S7qUNAf5ZozSsI50NVTAlMvPgRFv6CV9b9vYh-YJ6fW7lW3AqsfZCLSib4VEtAWFCkOI2CCbv1iRehFZ=w200-h185" width="200" /></a></div><br /><br /></div><br /><h3><b>RESPOSTAS</b></h3></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><p></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgkgNLsesIpFjHSeObfgr8cc10vuA_E2vDpzsz20rnjqHfkuHqT94nyVVAuHGS8S8mWfr0oGY_iuecKO9sqpDLRDqF7d5PdijTQVA29bC1v2ivKURgpBtnwGvlOJbhJsnlqgbWZMtfMKrcIUnXBIE6SvNFLTuXxXSIaimvIifpmdR-WQDXMmRKCPSHr" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="156" data-original-width="163" height="191" src="https://blogger.googleusercontent.com/img/a/AVvXsEgkgNLsesIpFjHSeObfgr8cc10vuA_E2vDpzsz20rnjqHfkuHqT94nyVVAuHGS8S8mWfr0oGY_iuecKO9sqpDLRDqF7d5PdijTQVA29bC1v2ivKURgpBtnwGvlOJbhJsnlqgbWZMtfMKrcIUnXBIE6SvNFLTuXxXSIaimvIifpmdR-WQDXMmRKCPSHr=w200-h191" width="200" /></a></div><br /><div style="text-align: center;">Temos nesse caso 1 triângulo grande de vermelho</div><p></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhqYsuy_jV5rDVVv7GG_mc4dbWtN_GALqt6eyo_cjkUBnaUXVsCbW4LoUbEobT4UdWALHOyHud5Skk8ssuVtVBODCfUcZyx05TqFkBwHufjFTVzhtZQCnHJhVtqJaOotdTi5bu0QDKouat7sEJMGK_NCFvWqwBk_5FmSFq4zA1HW4Yn2l5QlBFFWhV6" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="149" data-original-width="170" height="175" src="https://blogger.googleusercontent.com/img/a/AVvXsEhqYsuy_jV5rDVVv7GG_mc4dbWtN_GALqt6eyo_cjkUBnaUXVsCbW4LoUbEobT4UdWALHOyHud5Skk8ssuVtVBODCfUcZyx05TqFkBwHufjFTVzhtZQCnHJhVtqJaOotdTi5bu0QDKouat7sEJMGK_NCFvWqwBk_5FmSFq4zA1HW4Yn2l5QlBFFWhV6=w200-h175" width="200" /></a></div><div style="text-align: center;">Veja que agora temos 2 triângulos menores</div><p></p><p></p><div style="text-align: center;">Somado tudo temos: 1 + 2 = 3</div><div style="text-align: center;"><br /></div><br /><p></p><h3 style="text-align: center;"><b>A mesma orientação serve para os demais triângulos</b></h3><p><br /></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhE45wPfz6TkaJN5nRBB2H0oUWwssNJ5t7cbs84921UxpirslEkvqC2uhnwCX29l3kH6nnNAfo3Gblfkf6AY6jvJBd2kuI-2J1THS3hbdZfx-vEcYCx-syAPJdY8saPo76XXtkFh0Ds-M-uyyunoHbxNAHeuQaxUoC7kPOjqBHn9ZZYycDIxUTdMgZf" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="147" data-original-width="161" height="183" src="https://blogger.googleusercontent.com/img/a/AVvXsEhE45wPfz6TkaJN5nRBB2H0oUWwssNJ5t7cbs84921UxpirslEkvqC2uhnwCX29l3kH6nnNAfo3Gblfkf6AY6jvJBd2kuI-2J1THS3hbdZfx-vEcYCx-syAPJdY8saPo76XXtkFh0Ds-M-uyyunoHbxNAHeuQaxUoC7kPOjqBHn9ZZYycDIxUTdMgZf=w200-h183" width="200" /></a></div><br /><div style="text-align: center;">1+ 2 = 3</div><p></p><p><br /></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhjniHITi3Evpg9TGOOMrj7_8Hl5MwrBT2y3bMQQfN_mvaS6dvZeCM3UNpB03ida55cSyQXRNQmB5HWikM-Q-0ZaJk7h97cUl8RFR9EAlztEccqz5LB0BQbBPSHGXd_I-bzlBDSQ7lDVHqyEjiEiJhV7ks9RulFHjqLqEfJtoErSos5sZm_7sqBT7AF" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="150" data-original-width="170" height="176" src="https://blogger.googleusercontent.com/img/a/AVvXsEhjniHITi3Evpg9TGOOMrj7_8Hl5MwrBT2y3bMQQfN_mvaS6dvZeCM3UNpB03ida55cSyQXRNQmB5HWikM-Q-0ZaJk7h97cUl8RFR9EAlztEccqz5LB0BQbBPSHGXd_I-bzlBDSQ7lDVHqyEjiEiJhV7ks9RulFHjqLqEfJtoErSos5sZm_7sqBT7AF=w200-h176" width="200" /></a></div><br /><div style="text-align: center;">1 + 2 + 3 = 6</div><div style="text-align: center;"><br /></div><p></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEg0stwqe3Zz5MbYtWX0vCa-shNv1QqnUapPk3JzMo_3GFtcCPGXMl4EJTJn9Do8mJaTdYXey4kbTPmKFdwepQq0ovZVvRXdcSNYISwGJPORyfIoa4U9N0rYZl0Ew28bHnfn2w1b9FH_JdpaR_AXrVrVaZGi6OwpBtS9wZ-CC6f2G_ug5ZhDUXrPMNfK" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="156" data-original-width="165" height="189" src="https://blogger.googleusercontent.com/img/a/AVvXsEg0stwqe3Zz5MbYtWX0vCa-shNv1QqnUapPk3JzMo_3GFtcCPGXMl4EJTJn9Do8mJaTdYXey4kbTPmKFdwepQq0ovZVvRXdcSNYISwGJPORyfIoa4U9N0rYZl0Ew28bHnfn2w1b9FH_JdpaR_AXrVrVaZGi6OwpBtS9wZ-CC6f2G_ug5ZhDUXrPMNfK=w200-h189" width="200" /></a></div><br /><div style="text-align: center;">1 + 2 + 3 + 4 = 10</div><div style="text-align: center;"><br /></div><p></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgdoP4K20dAOB8n2Dh32mtOtHQomruMqZTlEpRO43d_IhErMgqpbJNiMLYFlzJDU92WXDd5UquVt0-GowcZhihyuQ-kwjADrkJh8NcNYlFKGrTooK2YeW5UsMA9EbNN3ru229fVT1igwsMTNfRBHwIn6hq1kgVHXU53fZB9Wz6_BaS_ohlrC1oU85Nh" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="148" data-original-width="159" height="186" src="https://blogger.googleusercontent.com/img/a/AVvXsEgdoP4K20dAOB8n2Dh32mtOtHQomruMqZTlEpRO43d_IhErMgqpbJNiMLYFlzJDU92WXDd5UquVt0-GowcZhihyuQ-kwjADrkJh8NcNYlFKGrTooK2YeW5UsMA9EbNN3ru229fVT1igwsMTNfRBHwIn6hq1kgVHXU53fZB9Wz6_BaS_ohlrC1oU85Nh=w200-h186" width="200" /></a></div><div class="separator" style="clear: both; text-align: center;">1+2+3+4+5 = 15</div><br /><br /><p></p><p><br /></p>Vergniaudhttp://www.blogger.com/profile/17556154627187342081noreply@blogger.com0tag:blogger.com,1999:blog-8632209536522359737.post-57292532607391164652024-01-25T09:35:00.001-03:002024-01-25T09:35:09.304-03:00FUNÇÃO MODULAR<p> A função <span style="font-family: courier;">f</span> de <span style="font-family: courier;">R</span> em <span style="font-family: courier;">R</span>, tal que:</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhisQUPlPDrkhU7qcoFbXSwZQK-jrRuXHd_5vFonY-yrjLysWeUeiVT2sFSUKv4DZn-ZS6CARzihK5tDcDBac596MEEr1Vv5EFNhmlg6ENDBx8z0mY5CnOHLa1avHFxRZsEm5dUlvH02_ALpuInQObwdYHIBXlmwkrBUGPIAHJEctOaRj0KaOLFANkZ" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="45" data-original-width="134" height="67" src="https://blogger.googleusercontent.com/img/a/AVvXsEhisQUPlPDrkhU7qcoFbXSwZQK-jrRuXHd_5vFonY-yrjLysWeUeiVT2sFSUKv4DZn-ZS6CARzihK5tDcDBac596MEEr1Vv5EFNhmlg6ENDBx8z0mY5CnOHLa1avHFxRZsEm5dUlvH02_ALpuInQObwdYHIBXlmwkrBUGPIAHJEctOaRj0KaOLFANkZ=w200-h67" width="200" /></a></div><br />Notação: f(x) = | x |<p></p><p>f de x é igual ao módulo de x:</p><p>a) Esboce o gráfico de: </p><p>y= | x + 1 |</p><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 1184;">
<tbody><tr>
<td style="border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 47.95pt;" valign="top" width="64">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">x<o:p></o:p></span></b></p>
</td>
<td style="border-left: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 2.0cm;" valign="top" width="76">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">x+1<o:p></o:p></span></b></p>
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<td style="border-left: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.8pt;" valign="top" width="85">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">y=| x+1 |<o:p></o:p></span></b></p>
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</tr>
<tr>
<td style="border-top: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 47.95pt;" valign="top" width="64">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">-3<o:p></o:p></span></b></p>
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<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 2.0cm;" valign="top" width="76">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">-2<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.8pt;" valign="top" width="85">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">2<o:p></o:p></span></b></p>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 47.95pt;" valign="top" width="64">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">-2<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 2.0cm;" valign="top" width="76">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">-1<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.8pt;" valign="top" width="85">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">1<o:p></o:p></span></b></p>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 47.95pt;" valign="top" width="64">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">-1<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 2.0cm;" valign="top" width="76">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">0<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.8pt;" valign="top" width="85">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">0<o:p></o:p></span></b></p>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 47.95pt;" valign="top" width="64">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">0<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 2.0cm;" valign="top" width="76">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">1<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.8pt;" valign="top" width="85">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">1<o:p></o:p></span></b></p>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 47.95pt;" valign="top" width="64">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">1<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 2.0cm;" valign="top" width="76">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">2<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.8pt;" valign="top" width="85">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">2<o:p></o:p></span></b></p>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 47.95pt;" valign="top" width="64">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">2<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 2.0cm;" valign="top" width="76">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">3<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.8pt;" valign="top" width="85">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">3<o:p></o:p></span></b></p>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 47.95pt;" valign="top" width="64">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">3<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 2.0cm;" valign="top" width="76">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">4<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.8pt;" valign="top" width="85">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">4<o:p></o:p></span></b></p>
</td>
</tr>
</tbody></table><br /><br /><p><span style="font-family: courier;"></span></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiDb0oD0tC38r_Dpj8nIYPcjxAJPNWDbX4PVARkK8YYU9-XXhCOGzVi6GQMUpV3kcLXVwCh1Pc1-4NNYBQhUvSZxp-z6wtYKtmxNUJu3CAulvlxAKh654hxKzwWDS5hgfRp27dkv7S8zQjEWRTgKUWH5O1NwOBO2YqW1jNjF5AXIBgcmMzoTgj7TqH3" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="651" data-original-width="663" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEiDb0oD0tC38r_Dpj8nIYPcjxAJPNWDbX4PVARkK8YYU9-XXhCOGzVi6GQMUpV3kcLXVwCh1Pc1-4NNYBQhUvSZxp-z6wtYKtmxNUJu3CAulvlxAKh654hxKzwWDS5hgfRp27dkv7S8zQjEWRTgKUWH5O1NwOBO2YqW1jNjF5AXIBgcmMzoTgj7TqH3" width="244" /></a></div><br />b)Esboce o gráfico de: <p></p><p><span style="font-family: courier;">y= | x - 1|</span></p><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 1184;">
<tbody><tr>
<td style="border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 47.95pt;" valign="top" width="64">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">x<o:p></o:p></span></b></p>
</td>
<td style="border-left: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 2.0cm;" valign="top" width="76">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">x-1<o:p></o:p></span></b></p>
</td>
<td style="border-left: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.8pt;" valign="top" width="85">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">y=|x -1 |<o:p></o:p></span></b></p>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 47.95pt;" valign="top" width="64">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">-1<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 2.0cm;" valign="top" width="76">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">-2<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.8pt;" valign="top" width="85">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">2<o:p></o:p></span></b></p>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 47.95pt;" valign="top" width="64">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">0<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 2.0cm;" valign="top" width="76">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">-1<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.8pt;" valign="top" width="85">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">1<o:p></o:p></span></b></p>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 47.95pt;" valign="top" width="64">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">1<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 2.0cm;" valign="top" width="76">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">0<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.8pt;" valign="top" width="85">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">0<o:p></o:p></span></b></p>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 47.95pt;" valign="top" width="64">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">2<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 2.0cm;" valign="top" width="76">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">1<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.8pt;" valign="top" width="85">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">1<o:p></o:p></span></b></p>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 47.95pt;" valign="top" width="64">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">3<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 2.0cm;" valign="top" width="76">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">2<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 63.8pt;" valign="top" width="85">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">2<o:p></o:p></span></b></p>
</td>
</tr>
</tbody></table><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEi6UeBlYdfFgwLmsrSBZqg48EDg7tcyvPe79Yl9gWie_bAcIpf5FrSxmGxxULGok6GbWYA6jDBd03X7TPdPd01MLzb85pfTO-VlDQwd5FChfVXDFyiVfIZKc0UhG_fkXR_zC5EJGxROk6RR6KqLWuMh9UVpJ_yFbDtDnzjoPkeT3A0rDDbklae_spGs" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="661" data-original-width="662" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEi6UeBlYdfFgwLmsrSBZqg48EDg7tcyvPe79Yl9gWie_bAcIpf5FrSxmGxxULGok6GbWYA6jDBd03X7TPdPd01MLzb85pfTO-VlDQwd5FChfVXDFyiVfIZKc0UhG_fkXR_zC5EJGxROk6RR6KqLWuMh9UVpJ_yFbDtDnzjoPkeT3A0rDDbklae_spGs" width="240" /></a></div><div><br /></div>c) Esboce o gráfico de: <div>y= | - x + 5 | </div><div><br /></div><div><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 1184;">
<tbody><tr>
<td style="border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 47.95pt;" valign="top" width="64">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">x<o:p></o:p></span></b></p>
</td>
<td style="border-left: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 2.0cm;" valign="top" width="76">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">- x + 5<o:p></o:p></span></b></p>
</td>
<td style="border-left: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 70.85pt;" valign="top" width="94">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">y=|- x + 5 |<o:p></o:p></span></b></p>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 47.95pt;" valign="top" width="64">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">3<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 2.0cm;" valign="top" width="76">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">2<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 70.85pt;" valign="top" width="94">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">2<o:p></o:p></span></b></p>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 47.95pt;" valign="top" width="64">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">4<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 2.0cm;" valign="top" width="76">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">1<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 70.85pt;" valign="top" width="94">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">1<o:p></o:p></span></b></p>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 47.95pt;" valign="top" width="64">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">5<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 2.0cm;" valign="top" width="76">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">0<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 70.85pt;" valign="top" width="94">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">0<o:p></o:p></span></b></p>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 47.95pt;" valign="top" width="64">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">6<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 2.0cm;" valign="top" width="76">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">-1<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 70.85pt;" valign="top" width="94">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">1<o:p></o:p></span></b></p>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 47.95pt;" valign="top" width="64">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">7<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 2.0cm;" valign="top" width="76">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">-2<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 70.85pt;" valign="top" width="94">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">2<o:p></o:p></span></b></p>
</td>
</tr>
</tbody></table><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjyX4KKk6hHmyD3mQbX26SBMzjkVMZNZOh9Ba41qWXeXH0R5SAdP8R0b-1I7ss17zN6L4X19p1qqhJ_rx2vA7e5wc8RVymu60K74qb1aoRWRSO3AHUfznUNuD-LvmUVGKmo4BtvzZHA5hq7wB4gnOEr1I7Ro2eTJ4cGxnTL0FxRodz0ypYQ3mFB1rX7" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="567" data-original-width="521" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEjyX4KKk6hHmyD3mQbX26SBMzjkVMZNZOh9Ba41qWXeXH0R5SAdP8R0b-1I7ss17zN6L4X19p1qqhJ_rx2vA7e5wc8RVymu60K74qb1aoRWRSO3AHUfznUNuD-LvmUVGKmo4BtvzZHA5hq7wB4gnOEr1I7Ro2eTJ4cGxnTL0FxRodz0ypYQ3mFB1rX7" width="221" /></a></div><div><br /></div><div>d) Esboce o gráfico de: </div><div>y= | x | - | x - 2 | </div><div><br /></div><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 1184;">
<tbody><tr>
<td style="border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 47.95pt;" valign="top" width="64">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">x<o:p></o:p></span></b></p>
</td>
<td style="border-left: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 2.0cm;" valign="top" width="76">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;"> x - x - 2<o:p></o:p></span></b></p>
</td>
<td style="border-left: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 3.0cm;" valign="top" width="113">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">y=|x|- | x -2 |<o:p></o:p></span></b></p>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 47.95pt;" valign="top" width="64">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">0<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 2.0cm;" valign="top" width="76">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">-2<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 3.0cm;" valign="top" width="113">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">-2<o:p></o:p></span></b></p>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 47.95pt;" valign="top" width="64">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">1<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 2.0cm;" valign="top" width="76">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">0<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 3.0cm;" valign="top" width="113">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">0<o:p></o:p></span></b></p>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 47.95pt;" valign="top" width="64">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">2<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 2.0cm;" valign="top" width="76">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">2<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 3.0cm;" valign="top" width="113">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">2<o:p></o:p></span></b></p>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 47.95pt;" valign="top" width="64">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">3<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 2.0cm;" valign="top" width="76">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">2<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 3.0cm;" valign="top" width="113">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">2<o:p></o:p></span></b></p>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid black 1.0pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 47.95pt;" valign="top" width="64">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">4<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 2.0cm;" valign="top" width="76">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">2<o:p></o:p></span></b></p>
</td>
<td style="border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt 0cm 5.4pt; width: 3.0cm;" valign="top" width="113">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;"><b><span style="font-size: 12.0pt; mso-bidi-font-size: 11.0pt;">2<o:p></o:p></span></b></p>
</td>
</tr>
</tbody></table><br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhcx9toi6iU_ySSSPXnXpi5KXRyYxDZny142fHTh2ofDTIggTtrHK2pHkqk-gtUFyy3Xjos-P8s2zrmOphtpYPZxGpIXFyGUKj7_J1SFatLMgdXAimtWceQxhlQTtzEQFa--Vzv5t1KDU0_MH89gZXToRPJe1xwC-KQagBbi1vbW-4aBalhoyicc2y0" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="648" data-original-width="665" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEhcx9toi6iU_ySSSPXnXpi5KXRyYxDZny142fHTh2ofDTIggTtrHK2pHkqk-gtUFyy3Xjos-P8s2zrmOphtpYPZxGpIXFyGUKj7_J1SFatLMgdXAimtWceQxhlQTtzEQFa--Vzv5t1KDU0_MH89gZXToRPJe1xwC-KQagBbi1vbW-4aBalhoyicc2y0" width="246" /></a></div><br /><p><br /></p></div>Vergniaudhttp://www.blogger.com/profile/17556154627187342081noreply@blogger.com0tag:blogger.com,1999:blog-8632209536522359737.post-86587562951082766062023-12-25T09:49:00.002-03:002023-12-25T09:49:23.767-03:00EXERCÍCIOS COM TEOREMA DE TALES NOS TRIÂNGULOS<p><br /></p><p class="MsoNormal" style="text-align: justify;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12.0pt; line-height: 115%;">1) Determine o valor de
x sabendo que os segmentos: DE // BC</span></b></p><p class="MsoNormal" style="text-align: justify;"></p><div class="separator" style="clear: both; font-weight: bold; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgTh4xZh-z3CaOEfTasDyP3Ujvyw5kNYmdMjvpFfG0EBx0j1iSJUF6bozFWiCFvr9ap73fHVRLh3KYEaAItsdJXK_GkjMoWT2u7l0oX3AMmfav03_1CTDaT-eSMffPFBbDx9ZRcONvC5VASbffV0mlMXvWjqpLPpYpcuKCr6byEfJbFL8dvqZSn0lz-/s124/Captura%20de%20tela%202023-12-25%20085445.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="123" data-original-width="124" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgTh4xZh-z3CaOEfTasDyP3Ujvyw5kNYmdMjvpFfG0EBx0j1iSJUF6bozFWiCFvr9ap73fHVRLh3KYEaAItsdJXK_GkjMoWT2u7l0oX3AMmfav03_1CTDaT-eSMffPFBbDx9ZRcONvC5VASbffV0mlMXvWjqpLPpYpcuKCr6byEfJbFL8dvqZSn0lz-/s16000/Captura%20de%20tela%202023-12-25%20085445.png" /></a></div><div class="separator" style="clear: both; font-weight: bold; text-align: center;"><br /></div><div class="separator" style="clear: both; font-weight: bold; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; font-weight: bold; text-align: center;"><br /></div></div><p></p><p class="MsoNormal" style="text-align: justify;"><b><span style="font-size: 12.0pt; line-height: 115%;">2) Na figura temos os segmentos AB//MP</span></b><b><span style="font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">. Qual é o perímetro do
triângulo MNP?<o:p></o:p></span></b></p><p class="MsoNormal" style="text-align: justify;"><b></b></p><div class="separator" style="clear: both; text-align: center;"><b><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHo12EZeUEZhz7yd9Ygoh5EcBocdPbO6tTZ0zeliqhYNXzVV1PEHw-Rjk72x258fg_KCIwAtokYaUwkTWic5YrVwqG9OGisrawEQLspVMAal_5ubkD_cObiB90fyG-_ORiK-2z_jIjFB-uLqDB-zcYWfy-mdAxbUCtq0MJKFEdzlPBlujlU9FE6zZK/s165/Captura%20de%20tela%202023-12-25%20091539.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="146" data-original-width="165" height="146" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHo12EZeUEZhz7yd9Ygoh5EcBocdPbO6tTZ0zeliqhYNXzVV1PEHw-Rjk72x258fg_KCIwAtokYaUwkTWic5YrVwqG9OGisrawEQLspVMAal_5ubkD_cObiB90fyG-_ORiK-2z_jIjFB-uLqDB-zcYWfy-mdAxbUCtq0MJKFEdzlPBlujlU9FE6zZK/s1600/Captura%20de%20tela%202023-12-25%20091539.png" width="165" /></a></b></div><b><br /></b><div class="separator" style="clear: both; text-align: center;"><br /></div><p></p><p class="MsoNormal" style="text-align: justify;"><b><span style="font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">3) No triângulo ABC da
figura, temos que <i>DE // BC</i>. Sabendo
que a medida do lado <i>BC </i>do triângulo
é 14 cm, calcule as medidas dos lados <i>AB</i>
e <i>AC </i>e o perímetro desse triângulo.</span></b></p><p class="MsoNormal" style="text-align: justify;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh_hyphenhyphenfjWCZnlpke5I4O4pYLVgVDOE8HHVgijCWQCpM2pwli-NwAUIygonBCUqJV-0TpIvi6dh2UFXKy0_xJuh4cWISA9JEO9b2urvj_WXhNBqCsqLwXdzw6raAy850uQaQNQp8RpBTdtJTVJVj6pNi_qNn0ZVn5rZRrtM9HphWxV7pytlBu1OB62f8r/s165/Captura%20de%20tela%202023-12-25%20093655.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="104" data-original-width="165" height="104" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh_hyphenhyphenfjWCZnlpke5I4O4pYLVgVDOE8HHVgijCWQCpM2pwli-NwAUIygonBCUqJV-0TpIvi6dh2UFXKy0_xJuh4cWISA9JEO9b2urvj_WXhNBqCsqLwXdzw6raAy850uQaQNQp8RpBTdtJTVJVj6pNi_qNn0ZVn5rZRrtM9HphWxV7pytlBu1OB62f8r/s1600/Captura%20de%20tela%202023-12-25%20093655.png" width="165" /></a></div><br /><div style="text-align: left;"><br /></div><p></p><p class="MsoNormal" style="text-align: justify;"><b><span style="font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">4) Em um triângulo ABC,
o lado <i>AB</i> mede 30 cm, se traçamos uma
paralela ao lado <i>BC</i> do triângulo, ele vai
cortar o lado <i>AB</i> no ponto <i>D</i> e o lado <i>AC </i>no ponto <i>E</i>. Sabendo
que <i>AE</i> = 15 cm, <i>EC</i> = 9 cm, determine as medidas x ( do segmento <i>AD</i>) e y (segmento <i>DB</i>).<o:p></o:p></span></b></p><p class="MsoNormal" style="text-align: justify;"><b></b></p><div class="separator" style="clear: both; text-align: center;"><b><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiQFKnubTA7cG9wuHG8k7IQvToGm4zG6hs6MfbCCZLqskhBpcZHNakgkeqlLxNdhSfj7bVqqTgBefcq3sDFZzoXmPIFT-0SGegd9gYE4olviSDfdg_GI5Xnbaxrz8aAKyrBTe30yUHL7GT-lNVtuxJHPIHTRWgrid-M6_2c1pWpSOejZ7ONSpbQ3qiQ/s242/Captura%20de%20tela%202023-12-25%20093503.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="131" data-original-width="242" height="131" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiQFKnubTA7cG9wuHG8k7IQvToGm4zG6hs6MfbCCZLqskhBpcZHNakgkeqlLxNdhSfj7bVqqTgBefcq3sDFZzoXmPIFT-0SGegd9gYE4olviSDfdg_GI5Xnbaxrz8aAKyrBTe30yUHL7GT-lNVtuxJHPIHTRWgrid-M6_2c1pWpSOejZ7ONSpbQ3qiQ/s1600/Captura%20de%20tela%202023-12-25%20093503.png" width="242" /></a></b></div><b><br /><div class="separator" style="clear: both; text-align: center;"><br /></div></b><b><span style="font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">5)Considere que <i>QR</i> // <i>NP </i>na figura. Qual é o valor da medida x do segmento <i>QN</i>?</span></b><p></p><p class="MsoNormal" style="text-align: justify;"><b></b></p><div class="separator" style="clear: both; text-align: center;"><b><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj1geiKeZ-PKsdkGkGIZ75Dl0_Oy4Bxfx9Bp40UdKEogP_VFQ1KBP9N_0hKw6wIf7m9gdOnXCNxH7UuICXXcdLSyD6mRbTgu_BkadmltqhiMN8MbZ3TvgQea5A_ToWKCxhhHurR2O56c__lDlWt8FMGyMk6xJExnHhdIYHzW0Ejz5861BhEe2Xw5MXe/s230/Captura%20de%20tela%202023-12-25%20093023.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="204" data-original-width="230" height="204" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj1geiKeZ-PKsdkGkGIZ75Dl0_Oy4Bxfx9Bp40UdKEogP_VFQ1KBP9N_0hKw6wIf7m9gdOnXCNxH7UuICXXcdLSyD6mRbTgu_BkadmltqhiMN8MbZ3TvgQea5A_ToWKCxhhHurR2O56c__lDlWt8FMGyMk6xJExnHhdIYHzW0Ejz5861BhEe2Xw5MXe/s1600/Captura%20de%20tela%202023-12-25%20093023.png" width="230" /></a></b></div><b><br /><span style="font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"><br /></span></b><p></p><p class="MsoNormal" style="text-align: justify;"><b><span style="font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">6) Uma quadra de um
loteamento tem a forma da figura abaixo. Na figura estão indicadas, em metros,
algumas medidas dessa quadra. Como <i>BC</i>
é paralelo a <i>DE</i> , a quadra foi dividida em dois lotes. Determine o perímetro de
cada um desses lotes.<o:p></o:p></span></b></p><p class="MsoNormal" style="text-align: justify;"><b></b></p><div class="separator" style="clear: both; text-align: center;"><b><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjxZUyCu9yrI_Eu3gMT2dVqvVDty6QPYM9CsbA0qoxhmofemRBGRnvoOVOO0neNNTgTmsigtkSFNI4Nwt2679oebFcJWny-yV49MVoD_pmhVc82B1tDe2VrCj8Pbb2OIrmZd8ietmruatIklXXfwWaEqswCob-JW3lWmWG86-q-QOAbRTIQAospDT1i/s210/Captura%20de%20tela%202023-12-25%20093140.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="210" data-original-width="188" height="210" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjxZUyCu9yrI_Eu3gMT2dVqvVDty6QPYM9CsbA0qoxhmofemRBGRnvoOVOO0neNNTgTmsigtkSFNI4Nwt2679oebFcJWny-yV49MVoD_pmhVc82B1tDe2VrCj8Pbb2OIrmZd8ietmruatIklXXfwWaEqswCob-JW3lWmWG86-q-QOAbRTIQAospDT1i/s1600/Captura%20de%20tela%202023-12-25%20093140.png" width="188" /></a></b></div><b><br /><span style="font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"><br /></span></b><p></p><p class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;"><b><span style="font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">7) Duas avenidas têm origem em um mesmo ponto A e cortam duas
ruas paralelas, como mostra a figura: Na primeira avenida, os quarteirões
determinados pelas ruas paralelas medem 50 m e 80 m, respectivamente. Na
segunda avenida, partindo de A, a medida do primeiro quarteirão é 36 m menor
que a medida do segundo quarteirão. Qual é a medida dos quarteirões dessa
segunda avenida?<o:p></o:p></span></b></p><p class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;"><b></b></p><div class="separator" style="clear: both; text-align: center;"><b><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjeSNjqT7bbIHgoEcRIYNvRxRsifDZBDuHJxCcFBxyMd5sVJCt0samYq4aMJmSiVt6O3BI2omgZAz8ANP8CUSsjPbC7hLfFT5JxXUhgLnsPsKuGLUkdLXysEB5xVH7uxFVdvwQfrddZPtpX0wPE2UKBdJjj5AbC0IyE85DMCbyULrH5O3QHxuARWz6T/s212/Captura%20de%20tela%202023-12-25%20093232.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="189" data-original-width="212" height="189" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjeSNjqT7bbIHgoEcRIYNvRxRsifDZBDuHJxCcFBxyMd5sVJCt0samYq4aMJmSiVt6O3BI2omgZAz8ANP8CUSsjPbC7hLfFT5JxXUhgLnsPsKuGLUkdLXysEB5xVH7uxFVdvwQfrddZPtpX0wPE2UKBdJjj5AbC0IyE85DMCbyULrH5O3QHxuARWz6T/s1600/Captura%20de%20tela%202023-12-25%20093232.png" width="212" /></a></b></div><b><br /></b><b><span style="font-family: "Calibri","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;">8)
Dois postes perpendiculares ao solo estão a uma distância de 4 m um do outro, e
um fio bem esticado de 5 m liga seus topos. Prolongando esse fio até prendê-lo
no solo, são utilizados mais 4 m de fio.</span></b><p></p><p class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;"><b><span style="font-family: "Calibri","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;"></span></b></p><div class="separator" style="clear: both; text-align: center;"><b><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjhM5uV1F2iBjwzj9fZgtyQIxb-2LY9PmK63sxj4GCun4dhONIHy68roa5vzl_S7CsHqQ_y22SA-UlG4GI4lrXkRHT3h59AaQMfIBwqeD5HIOdzjTu5c2S3RZNOMwt3gkgEHOlWwE8ie7JxSl0VwZYfUClkvSQ7s_QQdPD2hIxA_jk6DBL0a2lmugJO/s254/Captura%20de%20tela%202023-12-25%20093858.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="148" data-original-width="254" height="148" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjhM5uV1F2iBjwzj9fZgtyQIxb-2LY9PmK63sxj4GCun4dhONIHy68roa5vzl_S7CsHqQ_y22SA-UlG4GI4lrXkRHT3h59AaQMfIBwqeD5HIOdzjTu5c2S3RZNOMwt3gkgEHOlWwE8ie7JxSl0VwZYfUClkvSQ7s_QQdPD2hIxA_jk6DBL0a2lmugJO/s1600/Captura%20de%20tela%202023-12-25%20093858.png" width="254" /></a></b></div><b><br /> </b><p></p><p class="MsoNormal" style="text-align: right;"><b><span style="line-height: 115%;"><span style="font-size: x-small;">(ATIVIDADES DO LIVRO
CONQUISTA DA MATEMÁTICA -2018 – página 156)</span><span style="font-size: 12pt;"><o:p></o:p></span></span></b></p><p class="MsoNormal" style="text-align: justify;"><b><span style="font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"><br /></span></b></p><p class="MsoNormal" style="text-align: justify;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12.0pt; line-height: 115%;"><a href="https://asneurosesdavida.blogspot.com/p/respostas-exercicios-de-teorema-de.html" target="_blank">Clik aqui para ver respostas</a><br /><br /></span></b></p>Vergniaudhttp://www.blogger.com/profile/17556154627187342081noreply@blogger.com0tag:blogger.com,1999:blog-8632209536522359737.post-58013861132145834652023-12-24T18:58:00.009-03:002023-12-25T08:25:03.149-03:00MEDIDAS EXERCÍCIOS<p style="text-align: justify;"> <span style="font-size: 12pt; line-height: 18.4px; mso-bidi-font-size: 11.0pt; text-align: justify;">1) Um reservatório<span style="mso-spacerun: yes;"> </span>contém água até 2/3 </span><span style="font-size: 12pt; line-height: 18.4px; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; text-align: justify;">de seu volume. O reservatório é em forma de um </span><span style="font-size: 12pt; text-align: justify;">paralelepípedo retângula com as seguintes dimensões: 2m, 15 dm e 90 cm. Nesse reservatório contém quantos litros de água?</span></p><p class="MsoNormal"><br /></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 18.4px; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">2) o volume de 1 litro<span style="mso-spacerun: yes;"> </span>é igual ao de um decímetro cúbico. Um cubo de 1metro de aresta tem volume igual ao de.<o:p></o:p></span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 18.4px; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">a) 100 litros <span style="mso-spacerun: yes;"> </span> b) 1 000 litros <span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>c) 10 000 litros<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>d) 100 000 <span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>e) n.d.a</span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 18.4px; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"><br /></span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 18.4px; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">3) Uma caixa d’água em forma de paralelepípedo retângulo tem as seguintes medidas internas: 4m de comprimento, 3m de largura e 2m de altura. A capacidade dessa caixa, em litro é:<o:p></o:p></span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 18.4px; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">a) 12 000<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>b) 19 400 <span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>c) 20 000 <span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span> d) 24 000 <span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>e) 24 200<o:p></o:p></span></p><p class="MsoNormal"><br /></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 18.4px; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">4)Uma piscina tem 10m de comprimento, 8m de largura e 3m de profundidade. Quantos litros de água <span style="mso-spacerun: yes;"> </span>são necessários para encher totalmente essa piscina?<o:p></o:p></span></p><p class="MsoNormal"><br /></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 18.4px; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">5) Quantos litros de água podem ser colocados num recipiente cúbico de 10 cm de aresta?</span></p><p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 18.4px; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> </span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 18.4px; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">6) uma caixa de água com as seguintes medidas 1m de largura, 1,2m de comprimento e 0,80m de altura. Qual a capacidade dessa caixa?<o:p></o:p></span></p><p class="MsoNormal"><br /></p><p class="MsoNormal" style="text-align: justify;"><span style="font-size: 12pt; line-height: 18.4px; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">7) O volume da caixa-d’água de um prédio<span style="mso-spacerun: yes;"> </span>é 105m<sup>3</sup>. Sabendo que o consumo diário do prédio, em média, corresponde aos 4/5 </span><span style="font-size: 12pt; line-height: 18.4px; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">da capacidade da caixa, calcule quantos litros de água são consumidos, em média, por dia, nesse prédio.<o:p></o:p></span></p><p class="MsoNormal" style="margin-bottom: 0cm;"><span style="color: red; font-family: "Times New Roman", "serif"; font-size: 14pt;"> </span></p><p class="MsoNormal" style="text-align: justify;"><span style="font-size: 12pt; line-height: 18.4px; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">8)Uma família consome 750ml de suco de laranja em cada refeição. Em uma semana, considerando-se que a família faz 2 refeições diárias, quantos litros de suco serão consumidos? E em duas semanas?<o:p></o:p></span></p><p class="MsoNormal" style="text-align: justify;"><br /></p><p class="MsoNormal"><a href="https://asneurosesdavida.blogspot.com/p/9-ano.html" target="_blank">Clik aqui para ver as respostas:</a></p><p class="MsoNormal"><br /></p><p class="MsoNormal"><br /></p>Vergniaudhttp://www.blogger.com/profile/17556154627187342081noreply@blogger.com0tag:blogger.com,1999:blog-8632209536522359737.post-18821602639378600252023-12-23T20:55:00.002-03:002023-12-24T18:29:40.290-03:00DECIMAL-EXERCÍCIO <p> </p><p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%;">1) Um carro faz, em média<span style="mso-spacerun: yes;"> </span>12,5 km com um litro de gasolina. Quanto km
terá rodado em média, depois de consumir:<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%;">a) 25 litro de gasolina<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>b) 50 litro
de gasolina<span style="mso-spacerun: yes;"> </span><o:p></o:p></span></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%;"><span style="mso-spacerun: yes;">
</span><span style="mso-spacerun: yes;"> </span><o:p></o:p></span></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%;"><o:p> </o:p></span><span style="font-size: 12pt;">2) Com 26 metro de tecido, uma
costureira fez 8 vestidos iguais. Quantos metros de tecido ela usou em cada um?</span></p>
<p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%;"><o:p> </o:p></span><span style="font-size: 12pt;">3) Maria
comprou 25 caixas de leite por R$ 24,00. Quanto custou cada caixa?</span></p>
<p class="MsoNormal"><span style="font-size: 12pt;"><br /></span></p><p class="MsoNormal"><span style="font-size: 12pt;">4) Um
supermercado</span><span style="font-size: 12pt;"> </span><span style="font-size: 12pt;">comprou para revende 258 kg
de feijão e os distribuiu igualmente em 40 sacos. Quantos kg de feijão foram
colocados em cada saco?</span></p>
<p class="MsoNormal"><br /></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%;">5)Determine cada quociente e indique
se é um número decimal exato ou não exato.<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%;">a) 158 : 8 =<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><o:p></o:p></span></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%;"><span style="mso-spacerun: yes;"> </span>b) 56 :<span style="mso-spacerun: yes;">
</span>6= <span style="mso-spacerun: yes;"> </span><o:p></o:p></span></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%;">c) 62 :<span style="mso-spacerun: yes;"> </span>5=<span style="mso-spacerun: yes;"> </span><span style="color: #c00000;"><span style="mso-spacerun: yes;"> </span></span><span style="mso-spacerun: yes;"> </span><o:p></o:p></span></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%;">d) 149 : 12= <span style="mso-spacerun: yes;"> </span><o:p></o:p></span></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%;"><o:p> </o:p></span></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%;">6)Calcule:<o:p></o:p></span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-size: 12pt;">a) 15,7 x 2,5 = <span style="mso-spacerun: yes;"> </span>b) 12,9 x <span style="mso-spacerun: yes;"> </span>6,1 =<span style="mso-spacerun: yes;"> </span>c) 0,75 x 100 = <o:p></o:p></span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-size: 12pt;"><o:p> </o:p></span></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-size: 12pt;">7) Resolva as potencias;<br />
a)</span><span style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">(3,1)<sup>3</sup><span style="mso-spacerun: yes;"> </span>= <span style="mso-spacerun: yes;"> </span><o:p></o:p></span></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"><span style="mso-spacerun: yes;"> </span>b)
(1,6)<sup>4</sup><span style="mso-spacerun: yes;"> </span>=<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><o:p></o:p></span></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">c)(2,8)<sup>5</sup>= <o:p></o:p></span></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"><o:p> </o:p></span></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">8) Qual é o valor da expressão: x = (0,5)<sup>2</sup>
+ (0,7)<sup>2<o:p></o:p></sup></span></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><br /></p>
<p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">9)Qual é o número
decimal expresso por: 52 – 3 x (4,1 – 1,8 )?<o:p></o:p></span></p>
<p class="MsoNormal"><br /></p>
<p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">10) Determine o valor
de cada expressão numérica a seguir:<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">a) (1,2 + 4,8) : 0,24=<span style="mso-spacerun: yes;"> </span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">b) 24,8 : </span><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">4 + 45,5 : </span><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">5 =<span style="mso-spacerun: yes;"> </span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">c) (0,05 : 0,005) : 0,5
= </span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"><span style="color: #c00000;"><br /></span></span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"><span style="color: #c00000;"><br /></span></span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"><b>RESPOSTAS:</b></span></p><p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%;">1) Um carro faz, em média 12,5 km com um litro de gasolina. Quanto km
terá rodado em média, depois de consumir:<o:p></o:p></span></p><p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%;">a) 25 litro de gasolina <span style="color: #c00000;">2 km</span> b) 50 litro
de gasolina <span style="color: #c00000;">4km</span><o:p></o:p></span></p><p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%;">
<span style="color: red;">25 : 12,5 = 2</span>
<span style="color: red;">50 : 12,5 = 4</span><o:p></o:p></span></p><p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%;">2) Com 26 metro de tecido, uma
costureira fez 8 vestidos iguais. Quantos metros de tecido ela usou em cada um?<o:p></o:p></span></p><p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%;"><span style="color: red;">26 : 8 = 3,25</span><o:p></o:p></span></p><p class="MsoNormal" style="margin-bottom: 0cm;"><span style="color: red; font-size: 12pt; line-height: 115%;">Resposta: 3,25 m<o:p></o:p></span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%;"> </span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%;">3) Maria
comprou 25 caixas de leite por R$ 24,00. Quanto custou cada caixa?<o:p></o:p></span></p><p class="MsoNormal"><span style="color: #c00000; font-size: 12pt; line-height: 115%;">Resposta: 24 : 25 = 0,96</span></p><p class="MsoNormal"><span style="color: #c00000;">Cada caixa custou R$ 0,96</span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%;">4) Um
supermercado comprou para revende 258 kg
de feijão e os distribuiu igualmente em 40 sacos. Quantos kg de feijão foram
colocados em cada saco?<o:p></o:p></span></p><p class="MsoNormal"><span style="color: #c00000; font-size: 12pt; line-height: 115%;">Resposta:
258 : 40 = 6,45 kg<o:p></o:p></span></p><p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%;">5)Determine cada quociente e indique
se é um número decimal exato ou não exato.<o:p></o:p></span></p><p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%;">a) 158 : 8 = <span style="color: #c00000;">19,75 exata</span> <o:p></o:p></span></p><p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%;"> b) 56 :
6= <span style="color: #c00000;">9,333... não exata</span> <o:p></o:p></span></p><p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%;">c) 62 : 5= <span style="color: #c00000;">12,4 exata </span> <o:p></o:p></span></p><p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%;">d) 149 : 12= <span style="color: #c00000;">12,4166... não exata</span><o:p></o:p></span></p><p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%;">6)Calcule:<o:p></o:p></span></p><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-size: 12pt;">a) 15,7 x 2,5 = <span style="color: #c00000;">39,25</span> b) 12,9 x 6,1 =<span style="color: #c00000;">78,69</span> c) 0,75 x 100 = <span style="color: #c00000;">75</span><o:p></o:p></span></p><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-size: 12pt;"> </span></p><p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><span style="font-size: 12pt;">7) Resolva as potencias;<br />
a)</span><span style="font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">(3,1)<sup>3</sup> = (3,1) . (3,1) . (3,1) = <span style="color: #c00000;">29,791</span> <o:p></o:p></span></p><p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> b)
(1,6)<sup>4</sup> = (1,6) . (1,6) . (1,6) . (1,6) = <span style="color: #c00000;">6,5536</span> <o:p></o:p></span></p><p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">c)(2,8)<sup>5</sup>= (2,8) . </span><span style="font-size: 16px;">(2,8) . </span><span style="font-size: 16px;">(2,8) . </span><span style="font-size: 16px;">(2,8) . </span><span style="font-size: 16px;">(2,8) =</span><span style="color: #c00000; font-size: 12pt;">172,10368</span></p><p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> </span></p><p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">8) Qual é o valor da expressão: x = (0,5)<sup>2</sup>
+ (0,7)<sup>2<o:p></o:p></sup></span></p><p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">(0,5) . (0,5)<sup> </sup>+ (0,7) . (0,7)<o:p></o:p></span></p><p class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">0,25 + 0,49 = 0,74<o:p></o:p></span></p><p class="MsoNormal"><span style="color: #c00000; font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Resposta:
0,74<o:p></o:p></span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">9)Qual é o número
decimal expresso por: 52 – 3 x (4,1 – 1,8 )?<o:p></o:p></span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Resolvendo primeiro os parêntese </span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">52 – 3 x <span style="color: red;">( 2,3) </span>Resolvendo a multiplicação<o:p></o:p></span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">52 –<span style="color: red;"> (6,9) </span>Resolvendo a subtração<o:p></o:p></span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">52 – 6,9<o:p></o:p></span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">45,1<o:p></o:p></span></p><p class="MsoNormal"><span style="color: #c00000; font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Resposta:
45,1<o:p></o:p></span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">10) Determine o valor
de cada expressão numérica a seguir:<o:p></o:p></span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">a) (1,2 + 4,8) : 0,24 = Resolvendo os parêntese</span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">(6 ) : 0,24 = </span><span style="color: #c00000; font-size: 16px;">25 </span><span style="font-size: 12pt;">Resolvendo a divisão </span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%;"><br /></span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%;">b) 24,8 : </span><span style="font-size: 12pt; line-height: 115%;">4 + 45,5 : </span><span style="font-size: 12pt; line-height: 115%;">5 = Resolvendo as divisões</span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%;">6,2 + 9,1 =<span style="color: #c00000;"> 15,3 </span>Resolvendo a adição</span></p><p class="MsoNormal"><span style="font-size: 12pt;"><br /></span></p><p class="MsoNormal"><span style="font-size: 12pt;">c) (0,05 : 0,005) : 0,5
= Resolvendo o parêntese</span><span style="color: #c00000; font-size: 12pt;">20</span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">10 : 0,5 =<span style="color: #c00000;"> 20 </span>Resolvendo a última operação.</span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"><br /></span></p><p class="MsoNormal"><b>Observação</b>: Um número decimal pode também ser transformadas em um fração, Veja como resolver o item C da questão 10.</p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> Podemos transformar os números decimais em frações e depois resolver pela ordem que segue.</span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"></span></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgO3J5nplYwtnBkW77eD6RPGwhy3TUam27Hb_izgD3kZnoFg7Z9TuGm7ZZFJ_ZBdsMWtLt_uJjiVlchC0_7b7806bBh1Y6EAtR8ULlcOWbjg6TRVzmosZz-ofyQ8sKCFpSNNG6BKGvVpiQlwkrif05dXoFYe0ssPTrXi4kglpeWA_ryuyIlf1aQsc8L" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="325" data-original-width="159" height="400" src="https://blogger.googleusercontent.com/img/a/AVvXsEgO3J5nplYwtnBkW77eD6RPGwhy3TUam27Hb_izgD3kZnoFg7Z9TuGm7ZZFJ_ZBdsMWtLt_uJjiVlchC0_7b7806bBh1Y6EAtR8ULlcOWbjg6TRVzmosZz-ofyQ8sKCFpSNNG6BKGvVpiQlwkrif05dXoFYe0ssPTrXi4kglpeWA_ryuyIlf1aQsc8L=w195-h400" width="195" /></a></div><br /><br /><p></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"><br /></span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">
</span></p><p class="MsoNormal"> </p>
<p class="MsoNormal"><span style="mso-spacerun: yes;"> </span></p>Vergniaudhttp://www.blogger.com/profile/17556154627187342081noreply@blogger.com0tag:blogger.com,1999:blog-8632209536522359737.post-85721154513084725042023-12-12T07:18:00.000-03:002023-12-12T07:18:18.121-03:00SOMA DOS ÂNGULOS INTERNOS DE ALGUNS POLÍGONOS<p> </p><table align="left" border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; margin-left: 4.8pt; margin-right: 4.8pt; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-table-anchor-horizontal: margin; mso-table-anchor-vertical: margin; mso-table-left: left; mso-table-lspace: 7.05pt; mso-table-rspace: 7.05pt; mso-table-top: 21.75pt; mso-yfti-tbllook: 1184;">
<tbody><tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0;">
<td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 81.8pt;" valign="top" width="109">
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;">Nome do polígono<o:p></o:p></p>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 118.8pt;" valign="top" width="158">
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;">Polígono<o:p></o:p></p>
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<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 74.45pt;" valign="top" width="99">
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;">N° de lados<o:p></o:p></p>
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<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 79.3pt;" valign="top" width="106">
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;">N° de triângulos formados<o:p></o:p></p>
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<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 81.65pt;" valign="top" width="109">
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;">Soma dos ângulos internos( S<sub>n</sub>)<o:p></o:p></p>
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<tr style="mso-yfti-irow: 1;">
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 81.8pt;" valign="top" width="109">
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;">Triângulo<o:p></o:p></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><o:p> </o:p><span style="font-size: 14pt;">S</span><sub>n</sub></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><o:p></o:p></p>
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<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 118.8pt;" valign="top" width="158">
<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhwFTC9I8o4qvYB47gRBBW6anSl8iGwFLkwJpyY5KBKnXB8kO1dogACBXGPpt3vvlX0ewoX6LcJOgsMeYYz2XFw3LYz5hca_MNmS9ZgPGjAmoZw1TI1_qOZTrVv4qYnIFaviVhUoYlnNlLO12hodoqGyjJV43bBBV6Uwi23Qkq_DxU8_aYX4mS67956" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="132" data-original-width="120" height="200" src="https://blogger.googleusercontent.com/img/a/AVvXsEhwFTC9I8o4qvYB47gRBBW6anSl8iGwFLkwJpyY5KBKnXB8kO1dogACBXGPpt3vvlX0ewoX6LcJOgsMeYYz2XFw3LYz5hca_MNmS9ZgPGjAmoZw1TI1_qOZTrVv4qYnIFaviVhUoYlnNlLO12hodoqGyjJV43bBBV6Uwi23Qkq_DxU8_aYX4mS67956=w182-h200" width="182" /></a></div>
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<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 74.45pt;" valign="top" width="99">
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;">3<o:p></o:p></p>
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<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 79.3pt;" valign="top" width="106">
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;">(3-2)=1<o:p></o:p></p>
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<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 81.65pt;" valign="top" width="109">
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;">1.180° = 180°<o:p></o:p></p>
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<tr style="mso-yfti-irow: 2;">
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 81.8pt;" valign="top" width="109">
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;">Quadrilátero</p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><o:p></o:p></p>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 118.8pt;" valign="top" width="158">
<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjcqITLdmwwbl0hyekAn0gmE4EswmkO-duNQhOgVuuqZ0QhaHs-eWtjLCaZtUDwDx15tRtl5JgCGS3tqoV3jYQU3fs4DpHF3Dx6WRiigjcfBJAZxavoYu0EavdEZWoEam7NWLI28Zlp5uKntZbNLvyDDQSjqR-g_e7A68kjSbH7EvBuYflX9jbM9rQ9" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="120" data-original-width="137" height="175" src="https://blogger.googleusercontent.com/img/a/AVvXsEjcqITLdmwwbl0hyekAn0gmE4EswmkO-duNQhOgVuuqZ0QhaHs-eWtjLCaZtUDwDx15tRtl5JgCGS3tqoV3jYQU3fs4DpHF3Dx6WRiigjcfBJAZxavoYu0EavdEZWoEam7NWLI28Zlp5uKntZbNLvyDDQSjqR-g_e7A68kjSbH7EvBuYflX9jbM9rQ9=w200-h175" width="200" /></a></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 74.45pt;" valign="top" width="99">
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><span style="mso-spacerun: yes;"> </span></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;">4<o:p></o:p></p>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 79.3pt;" valign="top" width="106">
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;">(4-2)=2<o:p></o:p></p>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 81.65pt;" valign="top" width="109">
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;">2. 180°=360°<o:p></o:p></p>
</td>
</tr>
<tr style="mso-yfti-irow: 3;">
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 81.8pt;" valign="top" width="109">
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;">Pentágono<o:p></o:p></p>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 118.8pt;" valign="top" width="158">
<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEg5zWTFcwX31Cum68RpnZBcXTOMt7g7boPSBbAs3gwD9gdogvJXQV2ALYiLLjFD-v3hiqkwg9n8AwRvLeXhBMlJ6GXDqKoean0YlXkWamq1fJQ9iZSaizbuT0507NCrrPkxNtdYJqOCE_la_QglfGzRoXPq4vOf1OanKrWkdtWOytRMqDmnnU6gq01N" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="131" data-original-width="146" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEg5zWTFcwX31Cum68RpnZBcXTOMt7g7boPSBbAs3gwD9gdogvJXQV2ALYiLLjFD-v3hiqkwg9n8AwRvLeXhBMlJ6GXDqKoean0YlXkWamq1fJQ9iZSaizbuT0507NCrrPkxNtdYJqOCE_la_QglfGzRoXPq4vOf1OanKrWkdtWOytRMqDmnnU6gq01N=w200-h180" width="200" /></a></div><br />
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 74.45pt;" valign="top" width="99">
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;">5<o:p></o:p></p>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 79.3pt;" valign="top" width="106">
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;">(5-2)=3<o:p></o:p></p>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 81.65pt;" valign="top" width="109">
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;">3.180° = 540°<o:p></o:p></p>
</td>
</tr>
<tr style="mso-yfti-irow: 4;">
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 81.8pt;" valign="top" width="109">
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;">Hexágono</p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><o:p></o:p></p>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 118.8pt;" valign="top" width="158">
<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEj5-U1vvHhHGrfxyz5Lc9JrtzBzBfmJt-M-jHX5RgVAb7TOq-gPiGb23psgcYuDKJ6RhywFi05LDEpTTjOnIkYQ1ALJOGuPJk988sBTzfaewMDl2K1YwG6yj9uPvSDs5s9BmxKntGH1zCjbOIjJ3qtuH_f1ng6cnBYLpn8PFxb_HpBaQvIj2zgCTPoX" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="150" data-original-width="139" height="200" src="https://blogger.googleusercontent.com/img/a/AVvXsEj5-U1vvHhHGrfxyz5Lc9JrtzBzBfmJt-M-jHX5RgVAb7TOq-gPiGb23psgcYuDKJ6RhywFi05LDEpTTjOnIkYQ1ALJOGuPJk988sBTzfaewMDl2K1YwG6yj9uPvSDs5s9BmxKntGH1zCjbOIjJ3qtuH_f1ng6cnBYLpn8PFxb_HpBaQvIj2zgCTPoX=w185-h200" width="185" /></a></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 74.45pt;" valign="top" width="99">
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;">6<o:p></o:p></p>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 79.3pt;" valign="top" width="106">
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;">(6-2)=4<o:p></o:p></p>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 81.65pt;" valign="top" width="109">
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;">4.180° = 720°<o:p></o:p></p>
</td>
</tr>
<tr style="mso-yfti-irow: 5; mso-yfti-lastrow: yes;">
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 81.8pt;" valign="top" width="109">
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;">Heptágono<o:p></o:p></p>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 118.8pt;" valign="top" width="158">
<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhSAPhJgAOngbnrksKAYYgSJaQJPDM8oKI3KmC8FEEaZjH6QaqiDvv2srQLcGm91vPXg9vpuID7Gp8FFeRfDcPsEKQsfZG0FrIOeCLFqbi9T_cKxDpotS8slocqGXo4cmXWUD38Tfim_KOXB3jnTnwpHgPEcSeaZyHwPY6g_omL1tsGmoEswpYpgfFH" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="132" data-original-width="136" height="194" src="https://blogger.googleusercontent.com/img/a/AVvXsEhSAPhJgAOngbnrksKAYYgSJaQJPDM8oKI3KmC8FEEaZjH6QaqiDvv2srQLcGm91vPXg9vpuID7Gp8FFeRfDcPsEKQsfZG0FrIOeCLFqbi9T_cKxDpotS8slocqGXo4cmXWUD38Tfim_KOXB3jnTnwpHgPEcSeaZyHwPY6g_omL1tsGmoEswpYpgfFH=w200-h194" width="200" /></a></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 74.45pt;" valign="top" width="99">
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;">7<o:p></o:p></p>
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><o:p> </o:p></p>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 79.3pt;" valign="top" width="106">
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;">(7-2)=5<o:p></o:p></p>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt; width: 81.65pt;" valign="top" width="109">
<p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br /></p><p class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; mso-element-anchor-horizontal: margin; mso-element-frame-hspace: 7.05pt; mso-element-top: 21.75pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;">5.180°=900°<o:p></o:p></p>
</td>
</tr>
</tbody></table>Vergniaudhttp://www.blogger.com/profile/17556154627187342081noreply@blogger.com0tag:blogger.com,1999:blog-8632209536522359737.post-13247203702079208312023-12-11T07:48:00.003-03:002023-12-11T07:48:27.898-03:00SEGMENTOS PROPORCIONAIS - EXERCÍCIOS<p>1) Na figura abaixo, termos r//s//t. Quais são os possíveis
valores de x?</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgOGpX3qbuyeZuIZ78cV6LVRYNHkUXVKMI-dcQlX18r7ECCPpBgkF6HUk4kBSMMWPfrVDNk9j-hfAimpYOxDJpaXRN5_9N4GoAh3JxIGt9p0XYWg7ZiTT4PEz9RSgI6hGWrkUCZigH3mmPxf5TasNxYZJORn67stJ6FmGg4u2rjoao_hfrr_MG1kSpJ" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="332" data-original-width="432" height="171" src="https://blogger.googleusercontent.com/img/a/AVvXsEgOGpX3qbuyeZuIZ78cV6LVRYNHkUXVKMI-dcQlX18r7ECCPpBgkF6HUk4kBSMMWPfrVDNk9j-hfAimpYOxDJpaXRN5_9N4GoAh3JxIGt9p0XYWg7ZiTT4PEz9RSgI6hGWrkUCZigH3mmPxf5TasNxYZJORn67stJ6FmGg4u2rjoao_hfrr_MG1kSpJ=w222-h171" width="222" /></a></div><p class="MsoNormal">2)
Considere as figuras seguintes, em que j//m//n. Nessas condições.
Determine o valor de x em cada figuras.<o:p></o:p></p><p></p><p class="MsoNormal">a)<o:p></o:p></p><p>
</p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjOJVM4EDUwqS3A22rILPpu-miDJaSdnGaueallGmK3R1nVmeuVuiiPGm-VClioOUWYr4sho9KIFSuPKAViDA4O8iW8Jh-sap-cnWBwMlbNElddhRYNxma2PCrx0iokXv-PgO2FZ7ds27BAh2xd79rgWFW4Qnpld6xY10QqGl93-J8Y_DyowyGL6dKs" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="149" data-original-width="395" height="96" src="https://blogger.googleusercontent.com/img/a/AVvXsEjOJVM4EDUwqS3A22rILPpu-miDJaSdnGaueallGmK3R1nVmeuVuiiPGm-VClioOUWYr4sho9KIFSuPKAViDA4O8iW8Jh-sap-cnWBwMlbNElddhRYNxma2PCrx0iokXv-PgO2FZ7ds27BAh2xd79rgWFW4Qnpld6xY10QqGl93-J8Y_DyowyGL6dKs=w253-h96" width="253" /></a></div><br />b) <div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhU12LsadbRNe8x7kAC_jLyraGh8RCvvIydLEzlUrFfueptG-DkTHJJJdAyNV8smA9pvR7yK6NNuAxdcdRi8xxog8wnKC_F9JqzLUVy6juQHgQbh7CH4SPeYEmRSwYEpaFjugeerYrN9xATEds9SJlXgJPWOenSflzP71mp6G6cjgxvZufQyzpUKlH2" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="248" data-original-width="338" height="175" src="https://blogger.googleusercontent.com/img/a/AVvXsEhU12LsadbRNe8x7kAC_jLyraGh8RCvvIydLEzlUrFfueptG-DkTHJJJdAyNV8smA9pvR7yK6NNuAxdcdRi8xxog8wnKC_F9JqzLUVy6juQHgQbh7CH4SPeYEmRSwYEpaFjugeerYrN9xATEds9SJlXgJPWOenSflzP71mp6G6cjgxvZufQyzpUKlH2=w238-h175" width="238" /></a></div><br /><br /><p class="MsoNormal">3) Na figura temos que a//b//c. Determine
o valor de x+ y<o:p></o:p></p><p class="MsoNormal"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEh7iLR4mkgotWNFLrtdG8z-pKid18TvCrl5Kq4_iOnDoBclBc7qVESkBrYjQg89MuGBA-s_-9CdA25haozuvcCZqdQB07vF1_991FqGeoFb0HvNFgYgQWLn6KPIKBVoBM4tkhsIGJN0bXGlU3jkAizddq_9A6jAnAEkWb1HYVrxPZS4EW90sBWTb747" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="162" data-original-width="457" height="95" src="https://blogger.googleusercontent.com/img/a/AVvXsEh7iLR4mkgotWNFLrtdG8z-pKid18TvCrl5Kq4_iOnDoBclBc7qVESkBrYjQg89MuGBA-s_-9CdA25haozuvcCZqdQB07vF1_991FqGeoFb0HvNFgYgQWLn6KPIKBVoBM4tkhsIGJN0bXGlU3jkAizddq_9A6jAnAEkWb1HYVrxPZS4EW90sBWTb747=w268-h95" width="268" /></a></div><br /><p></p><p class="MsoNormal">4) Na figura, a//p// m. Sabendo-se que AC = 14, CE = 42 e BD = 18.
Qual a medida de DF?<o:p></o:p></p><p class="MsoNormal"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhgxpG5UjgsaJXtQs2rd1_XhOYa8LLo_gmtxWZIKgFS5AnNpet_KmPDorgZ2h5_X_WOCmTIlYdhbpINZ4s2Su0dZ1sZ675-HFVLWEK-JQp26zTh_UIKpDnaQPW3FZO5fgVBHrAcBroJu5Ye0GR9d5wcGqxlxzHl2w9WNJPlz05O2B95zzSNU_80e67Q" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="167" data-original-width="360" height="148" src="https://blogger.googleusercontent.com/img/a/AVvXsEhgxpG5UjgsaJXtQs2rd1_XhOYa8LLo_gmtxWZIKgFS5AnNpet_KmPDorgZ2h5_X_WOCmTIlYdhbpINZ4s2Su0dZ1sZ675-HFVLWEK-JQp26zTh_UIKpDnaQPW3FZO5fgVBHrAcBroJu5Ye0GR9d5wcGqxlxzHl2w9WNJPlz05O2B95zzSNU_80e67Q" width="320" /></a></div>RESPOSTAS:<p></p><p class="MsoNormal"><br /></p><p>1) Na figura abaixo, termos r//s//t. Quais são os possíveis valores de x?</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgOGpX3qbuyeZuIZ78cV6LVRYNHkUXVKMI-dcQlX18r7ECCPpBgkF6HUk4kBSMMWPfrVDNk9j-hfAimpYOxDJpaXRN5_9N4GoAh3JxIGt9p0XYWg7ZiTT4PEz9RSgI6hGWrkUCZigH3mmPxf5TasNxYZJORn67stJ6FmGg4u2rjoao_hfrr_MG1kSpJ" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="332" data-original-width="432" height="171" src="https://blogger.googleusercontent.com/img/a/AVvXsEgOGpX3qbuyeZuIZ78cV6LVRYNHkUXVKMI-dcQlX18r7ECCPpBgkF6HUk4kBSMMWPfrVDNk9j-hfAimpYOxDJpaXRN5_9N4GoAh3JxIGt9p0XYWg7ZiTT4PEz9RSgI6hGWrkUCZigH3mmPxf5TasNxYZJORn67stJ6FmGg4u2rjoao_hfrr_MG1kSpJ=w222-h171" width="222" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiGwSVWwqlmYpvY582baPmK7gQfs2DRbS4k5OSVZSG3Wh5CCBfxcJrYlJmPQHlC2_0czKO_zSdyz9AMiseyKytM8WIn1v5-KXercW3kV_uujc9lWPk4uCB_7XwtnCza0Y8WIf_o7spZxtfjNZ0KbgO_W0SoXBTTLwDgzPzY6h4iYD2s2nnSGgTh8a2f" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="287" data-original-width="593" height="310" src="https://blogger.googleusercontent.com/img/a/AVvXsEiGwSVWwqlmYpvY582baPmK7gQfs2DRbS4k5OSVZSG3Wh5CCBfxcJrYlJmPQHlC2_0czKO_zSdyz9AMiseyKytM8WIn1v5-KXercW3kV_uujc9lWPk4uCB_7XwtnCza0Y8WIf_o7spZxtfjNZ0KbgO_W0SoXBTTLwDgzPzY6h4iYD2s2nnSGgTh8a2f=w640-h310" width="640" /></a></div><br /><br /></div><br /></div><p class="MsoNormal">2) Considere as figuras seguintes, em que j//m//n. Nessas condições. Determine o valor de x em cada figuras.<o:p></o:p></p><p></p><p class="MsoNormal">a)<o:p></o:p></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjOJVM4EDUwqS3A22rILPpu-miDJaSdnGaueallGmK3R1nVmeuVuiiPGm-VClioOUWYr4sho9KIFSuPKAViDA4O8iW8Jh-sap-cnWBwMlbNElddhRYNxma2PCrx0iokXv-PgO2FZ7ds27BAh2xd79rgWFW4Qnpld6xY10QqGl93-J8Y_DyowyGL6dKs" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="149" data-original-width="395" height="96" src="https://blogger.googleusercontent.com/img/a/AVvXsEjOJVM4EDUwqS3A22rILPpu-miDJaSdnGaueallGmK3R1nVmeuVuiiPGm-VClioOUWYr4sho9KIFSuPKAViDA4O8iW8Jh-sap-cnWBwMlbNElddhRYNxma2PCrx0iokXv-PgO2FZ7ds27BAh2xd79rgWFW4Qnpld6xY10QqGl93-J8Y_DyowyGL6dKs=w253-h96" width="253" /></a></div><p class="MsoNormal"></p><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjc8WB0KUqQYdPtk7F9EystKAe--kBmxDL2awHxBPpMQepYJKdizcBlTWFtuOeZChctTjr54HttPr96hsNUtF9lBHEgzocY8l__u8cynDD37X2-u2qTt_-F1ZrEkBu0LgPinBomRyb50S4ZjkAouHxn2Pl9mAniK5ghhsvsgGb3WsUMB9mTLjEfMteg" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="60" data-original-width="563" height="68" src="https://blogger.googleusercontent.com/img/a/AVvXsEjc8WB0KUqQYdPtk7F9EystKAe--kBmxDL2awHxBPpMQepYJKdizcBlTWFtuOeZChctTjr54HttPr96hsNUtF9lBHEgzocY8l__u8cynDD37X2-u2qTt_-F1ZrEkBu0LgPinBomRyb50S4ZjkAouHxn2Pl9mAniK5ghhsvsgGb3WsUMB9mTLjEfMteg=w640-h68" width="640" /></a></div><br /><br /></div><br /><br />b) <p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhU12LsadbRNe8x7kAC_jLyraGh8RCvvIydLEzlUrFfueptG-DkTHJJJdAyNV8smA9pvR7yK6NNuAxdcdRi8xxog8wnKC_F9JqzLUVy6juQHgQbh7CH4SPeYEmRSwYEpaFjugeerYrN9xATEds9SJlXgJPWOenSflzP71mp6G6cjgxvZufQyzpUKlH2" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="248" data-original-width="338" height="175" src="https://blogger.googleusercontent.com/img/a/AVvXsEhU12LsadbRNe8x7kAC_jLyraGh8RCvvIydLEzlUrFfueptG-DkTHJJJdAyNV8smA9pvR7yK6NNuAxdcdRi8xxog8wnKC_F9JqzLUVy6juQHgQbh7CH4SPeYEmRSwYEpaFjugeerYrN9xATEds9SJlXgJPWOenSflzP71mp6G6cjgxvZufQyzpUKlH2=w238-h175" width="238" /></a></div><p class="MsoNormal"></p><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgpJxLUur1qLHIsG0B9lT5H9MUWM9vz1RZjDlBixVr4GVmKYe8GnWsk8eh5WXyEn2VpXcPjDaEmPLpxx32oJxaP3nEWBng7Yw6Hv_VnwIM8DevNrIlsTBM79CxBnW64kM10DbIh66A09ZTAzpqZDNzUZ0sgV0nPr0PB_5QHSCZDsFzBgNSW4LgLOdPw" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="47" data-original-width="561" height="54" src="https://blogger.googleusercontent.com/img/a/AVvXsEgpJxLUur1qLHIsG0B9lT5H9MUWM9vz1RZjDlBixVr4GVmKYe8GnWsk8eh5WXyEn2VpXcPjDaEmPLpxx32oJxaP3nEWBng7Yw6Hv_VnwIM8DevNrIlsTBM79CxBnW64kM10DbIh66A09ZTAzpqZDNzUZ0sgV0nPr0PB_5QHSCZDsFzBgNSW4LgLOdPw=w640-h54" width="640" /></a></div><br /><br /></div><br /><br /><br /><p></p><p class="MsoNormal">3) Na figura temos que a//b//c. Determine o valor de x+ y<o:p></o:p></p><p class="MsoNormal"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEh7iLR4mkgotWNFLrtdG8z-pKid18TvCrl5Kq4_iOnDoBclBc7qVESkBrYjQg89MuGBA-s_-9CdA25haozuvcCZqdQB07vF1_991FqGeoFb0HvNFgYgQWLn6KPIKBVoBM4tkhsIGJN0bXGlU3jkAizddq_9A6jAnAEkWb1HYVrxPZS4EW90sBWTb747" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="162" data-original-width="457" height="95" src="https://blogger.googleusercontent.com/img/a/AVvXsEh7iLR4mkgotWNFLrtdG8z-pKid18TvCrl5Kq4_iOnDoBclBc7qVESkBrYjQg89MuGBA-s_-9CdA25haozuvcCZqdQB07vF1_991FqGeoFb0HvNFgYgQWLn6KPIKBVoBM4tkhsIGJN0bXGlU3jkAizddq_9A6jAnAEkWb1HYVrxPZS4EW90sBWTb747=w268-h95" width="268" /></a></div><p class="MsoNormal"></p><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjZwVoqKi0hmeBA3_bwIwAu99r2V1daK40CqmTTvUUx18q55ZyEssFE6NY8p2us5YqjsA1tvqW134iBIZ1f45gTUmUla5kulXqdjjOIO0uajc5XoZcv-hYCr5SECdrJR53iCOMnWLPFhPoEVc7FcNJtVRtJDsHVbq8CecpKnhrPM8a5v0kUVl9NCqjP" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="154" data-original-width="434" height="228" src="https://blogger.googleusercontent.com/img/a/AVvXsEjZwVoqKi0hmeBA3_bwIwAu99r2V1daK40CqmTTvUUx18q55ZyEssFE6NY8p2us5YqjsA1tvqW134iBIZ1f45gTUmUla5kulXqdjjOIO0uajc5XoZcv-hYCr5SECdrJR53iCOMnWLPFhPoEVc7FcNJtVRtJDsHVbq8CecpKnhrPM8a5v0kUVl9NCqjP=w640-h228" width="640" /></a></div><br /><br /></div><br /><br /><p></p><p></p><p class="MsoNormal">4) Na figura, a//p// m. Sabendo-se que AC = 14, CE = 42 e BD = 18. Qual a medida de DF?<o:p></o:p></p><p class="MsoNormal"></p><p class="MsoNormal"></p><p></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhgxpG5UjgsaJXtQs2rd1_XhOYa8LLo_gmtxWZIKgFS5AnNpet_KmPDorgZ2h5_X_WOCmTIlYdhbpINZ4s2Su0dZ1sZ675-HFVLWEK-JQp26zTh_UIKpDnaQPW3FZO5fgVBHrAcBroJu5Ye0GR9d5wcGqxlxzHl2w9WNJPlz05O2B95zzSNU_80e67Q" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="167" data-original-width="360" height="148" src="https://blogger.googleusercontent.com/img/a/AVvXsEhgxpG5UjgsaJXtQs2rd1_XhOYa8LLo_gmtxWZIKgFS5AnNpet_KmPDorgZ2h5_X_WOCmTIlYdhbpINZ4s2Su0dZ1sZ675-HFVLWEK-JQp26zTh_UIKpDnaQPW3FZO5fgVBHrAcBroJu5Ye0GR9d5wcGqxlxzHl2w9WNJPlz05O2B95zzSNU_80e67Q" style="cursor: move;" width="320" /></a></div><p class="MsoNormal"><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -4.5pt; position: relative; top: 4.5pt;"></span></p><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgK5Ii8LO_Zg2k1VfxCnH37uWTUGtPTkc-rNTAiGymU6ZqFnLWXNKH9OrHcjIIvCeZRw6zc_7GVE_CaG02-bpcDckf503Ol7J1Si37fPIU22ypuROmjyIY1fndfgWNV3mLxXVYS9pAnF1omcgWj4EvLA69mR3eushuMFBigySupj3EO8tpDrgDAq4vO" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="59" data-original-width="596" height="64" src="https://blogger.googleusercontent.com/img/a/AVvXsEgK5Ii8LO_Zg2k1VfxCnH37uWTUGtPTkc-rNTAiGymU6ZqFnLWXNKH9OrHcjIIvCeZRw6zc_7GVE_CaG02-bpcDckf503Ol7J1Si37fPIU22ypuROmjyIY1fndfgWNV3mLxXVYS9pAnF1omcgWj4EvLA69mR3eushuMFBigySupj3EO8tpDrgDAq4vO=w640-h64" width="640" /></a></div><br /><br /></div><p></p><p class="MsoNormal" style="text-align: right;">Conquista da Matemática-9° ano- 2009- pág. 208</p><p> </p>Vergniaudhttp://www.blogger.com/profile/17556154627187342081noreply@blogger.com0tag:blogger.com,1999:blog-8632209536522359737.post-83466855308074489622023-12-09T13:42:00.001-03:002023-12-09T13:42:07.158-03:00QUIZ COM TORNEIRAS<p> </p>
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<html xmlns="http://www.w3.org/1999/xhtml"
xml:lang="en" prefix="dc: http://purl.org/dc/elements/1.1/"
lang="en">
<head>
<meta name="author"
content="Created with Hot Potatoes by Half-Baked Software, registered to Vergniaud.">
<meta name="keywords"
content="Hot Potatoes, Hot Potatoes, Half-Baked Software, Windows, University of Victoria">
<meta http-equiv="Content-Type"
content="text/html; charset=UTF-8">
<meta name="dc:creator"
content="Vergniaud">
<meta name="dc:title"
content="Problemas envolvendo torneiras">
<title>Problemas envolvendo
torneiras</title>
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/* This is the CSS stylesheet used in the exercise. */
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if (InString.length != 0) {
while ((InString.charAt(InString.length - 1) == '\u0020') || (InString.charAt(InString.length - 1) == '\u000A') || (InString.charAt(InString.length - 1) == '\u000D')){
InString = InString.substring(0, InString.length - 1)
}
while ((InString.charAt(0) == '\u0020') || (InString.charAt(0) == '\u000A') || (InString.charAt(0) == '\u000D')){
InString = InString.substring(1, InString.length)
}
while (InString.indexOf(' ') != -1) {
x = InString.indexOf(' ')
InString = InString.substring(0, x) + InString.substring(x+1, InString.length)
}
return InString;
}
else {
return '';
}
}
function FindLongest(InArray){
if (InArray.length < 1){return -1;}
var Longest = 0;
for (var i=1; i<InArray.length; i++){
if (InArray[i].length > InArray[Longest].length){
Longest = i;
}
}
return Longest;
}
//SELECTION OBJECT FOR TYPING WITH KEYPAD
var selObj = null;
SelObj = function(box){
this.box = box;
this.selStart = this.box.selectionStart;
this.selEnd = this.box.selectionEnd;
this.selText = this.box.value.substring(this.selStart, this.selEnd);
return this;
}
function setSelText(newText){
var caretPos = this.selStart + newText.length;
var newValue = this.box.value.substring(0, this.selStart);
newValue += newText;
newValue += this.box.value.substring(this.selEnd, this.box.value.length);
this.box.value = newValue;
this.box.setSelectionRange(caretPos, caretPos);
this.box.focus();
}
SelObj.prototype.setSelText = setSelText;
function setSelSelectionRange(start, end){
this.box.setSelectionRange(start, end);
}
SelObj.prototype.setSelSelectionRange = setSelSelectionRange;
//UNICODE CHARACTER FUNCTIONS
function IsCombiningDiacritic(CharNum){
var Result = (((CharNum >= 0x0300)&&(CharNum <= 0x370))||((CharNum >= 0x20d0)&&(CharNum <= 0x20ff)));
Result = Result || (((CharNum >= 0x3099)&&(CharNum <= 0x309a))||((CharNum >= 0xfe20)&&(CharNum <= 0xfe23)));
return Result;
}
function IsCJK(CharNum){
return ((CharNum >= 0x3000)&&(CharNum < 0xd800));
}
//SETUP FUNCTIONS
//BROWSER WILL REFILL TEXT BOXES FROM CACHE IF NOT PREVENTED
function ClearTextBoxes(){
var NList = document.getElementsByTagName('input');
for (var i=0; i<NList.length; i++){
if ((NList[i].id.indexOf('Guess') > -1)||(NList[i].id.indexOf('Gap') > -1)){
NList[i].value = '';
}
if (NList[i].id.indexOf('Chk') > -1){
NList[i].checked = '';
}
}
}
//JQUIZ CORE JAVASCRIPT CODE
var CurrQNum = 0;
var CorrectIndicator = '✔';
var IncorrectIndicator = '✘';
var YourScoreIs = 'pontuação';
//New for 6.2.2.0
var CompletedSoFar = '';
var ExerciseCompleted = 'You have completed the exercise.';
var ShowCompletedSoFar = true;
var ContinuousScoring = true;
var CorrectFirstTime = 'pergunta respondida corretamente: ';
var ShowCorrectFirstTime = true;
var ShuffleQs = false;
var ShuffleAs = false;
var DefaultRight = 'Correta!';
var DefaultWrong = 'Errada.';
var QsToShow = 5;
var Score = 0;
var Finished = false;
var Qs = null;
var QArray = new Array();
var ShowingAllQuestions = false;
var ShowAllQuestionsCaption = 'Mostrar todas perguntas';
var ShowOneByOneCaption = 'Mostrar uma a uma';
var State = new Array();
var Feedback = '';
var TimeOver = false;
var strInstructions = '';
var Locked = false;
//The following variable can be used to add a message explaining that
//the question is finished, so no further marking will take place.
var strQuestionFinished = '';
function CompleteEmptyFeedback(){
var QNum, ANum;
for (QNum=0; QNum<I.length; QNum++){
//Only do this if not multi-select
if (I[QNum][2] != '3'){
for (ANum = 0; ANum<I[QNum][3].length; ANum++){
if (I[QNum][3][ANum][1].length < 1){
if (I[QNum][3][ANum][2] > 0){
I[QNum][3][ANum][1] = DefaultRight;
}
else{
I[QNum][3][ANum][1] = DefaultWrong;
}
}
}
}
}
}
function SetUpQuestions(){
var AList = new Array();
var QList = new Array();
var i, j;
Qs = document.getElementById('Questions');
while (Qs.getElementsByTagName('li').length > 0){
QList.push(Qs.removeChild(Qs.getElementsByTagName('li')[0]));
}
var DumpItem = 0;
if (QsToShow > QList.length){
QsToShow = QList.length;
}
while (QsToShow < QList.length){
DumpItem = Math.floor(QList.length*Math.random());
for (j=DumpItem; j<(QList.length-1); j++){
QList[j] = QList[j+1];
}
QList.length = QList.length-1;
}
if (ShuffleQs == true){
QList = Shuffle(QList);
}
if (ShuffleAs == true){
var As;
for (var i=0; i<QList.length; i++){
As = QList[i].getElementsByTagName('ol')[0];
if (As != null){
AList.length = 0;
while (As.getElementsByTagName('li').length > 0){
AList.push(As.removeChild(As.getElementsByTagName('li')[0]));
}
AList = Shuffle(AList);
for (j=0; j<AList.length; j++){
As.appendChild(AList[j]);
}
}
}
}
for (i=0; i<QList.length; i++){
Qs.appendChild(QList[i]);
QArray[QArray.length] = QList[i];
}
//Show the first item
QArray[0].style.display = '';
//Now hide all except the first item
for (i=1; i<QArray.length; i++){
QArray[i].style.display = 'none';
}
SetQNumReadout();
SetFocusToTextbox();
}
function SetFocusToTextbox(){
//if there's a textbox, set the focus in it
if (QArray[CurrQNum].getElementsByTagName('input')[0] != null){
QArray[CurrQNum].getElementsByTagName('input')[0].focus();
//and show a keypad if there is one
if (document.getElementById('CharacterKeypad') != null){
document.getElementById('CharacterKeypad').style.display = 'block';
}
}
else{
if (QArray[CurrQNum].getElementsByTagName('textarea')[0] != null){
QArray[CurrQNum].getElementsByTagName('textarea')[0].focus();
//and show a keypad if there is one
if (document.getElementById('CharacterKeypad') != null){
document.getElementById('CharacterKeypad').style.display = 'block';
}
}
//This added for 6.0.4.11: hide accented character buttons if no textbox
else{
if (document.getElementById('CharacterKeypad') != null){
document.getElementById('CharacterKeypad').style.display = 'none';
}
}
}
}
function ChangeQ(ChangeBy){
//The following line prevents moving to another question until the current
//question is answered correctly. Uncomment it to enable this behaviour.
// if (State[CurrQNum][0] == -1){return;}
if (((CurrQNum + ChangeBy) < 0)||((CurrQNum + ChangeBy) >= QArray.length)){return;}
QArray[CurrQNum].style.display = 'none';
CurrQNum += ChangeBy;
QArray[CurrQNum].style.display = '';
//Undocumented function added 10/12/2004
ShowSpecialReadingForQuestion();
SetQNumReadout();
SetFocusToTextbox();
}
var HiddenReadingShown = false;
function ShowSpecialReadingForQuestion(){
//Undocumented function for showing specific reading text elements which change with each question
//Added on 10/12/2004
if (document.getElementById('ReadingDiv') != null){
if (HiddenReadingShown == true){
document.getElementById('ReadingDiv').innerHTML = '';
}
if (QArray[CurrQNum] != null){
//Fix for 6.0.4.25
var Children = QArray[CurrQNum].getElementsByTagName('div');
for (var i=0; i<Children.length; i++){
if (Children[i].className=="HiddenReading"){
document.getElementById('ReadingDiv').innerHTML = Children[i].innerHTML;
HiddenReadingShown = true;
//Hide the ShowAllQuestions button to avoid confusion
if (document.getElementById('ShowMethodButton') != null){
document.getElementById('ShowMethodButton').style.display = 'none';
}
}
}
}
}
}
function SetQNumReadout(){
document.getElementById('QNumReadout').innerHTML = (CurrQNum+1) + ' / ' + QArray.length;
if ((CurrQNum+1) >= QArray.length){
if (document.getElementById('NextQButton') != null){
document.getElementById('NextQButton').style.visibility = 'hidden';
}
}
else{
if (document.getElementById('NextQButton') != null){
document.getElementById('NextQButton').style.visibility = 'visible';
}
}
if (CurrQNum <= 0){
if (document.getElementById('PrevQButton') != null){
document.getElementById('PrevQButton').style.visibility = 'hidden';
}
}
else{
if (document.getElementById('PrevQButton') != null){
document.getElementById('PrevQButton').style.visibility = 'visible';
}
}
}
var I=new Array();
I[0]=new Array();I[0][0]=100;
I[0][1]='';
I[0][2]='0';
I[0][3]=new Array();
I[0][3][0]=new Array('2h 30min','',0,0,1);
I[0][3][1]=new Array('2h 24min.','',1,100,1);
I[0][3][2]=new Array('2h 45min','',0,0,1);
I[0][3][3]=new Array('1h 24min','',0,0,1);
I[1]=new Array();I[1][0]=100;
I[1][1]='';
I[1][2]='0';
I[1][3]=new Array();
I[1][3][0]=new Array('30 horas','',0,0,1);
I[1][3][1]=new Array('40 horas','',0,0,1);
I[1][3][2]=new Array('50 horas','',0,0,1);
I[1][3][3]=new Array('60 horas','',1,100,1);
I[2]=new Array();I[2][0]=100;
I[2][1]='';
I[2][2]='0';
I[2][3]=new Array();
I[2][3][0]=new Array('5h 40 min.','',0,0,1);
I[2][3][1]=new Array('6h 40 min.','',1,100,1);
I[2][3][2]=new Array('7h 30min.','',0,0,1);
I[2][3][3]=new Array('8h 45min','',0,0,1);
I[3]=new Array();I[3][0]=100;
I[3][1]='';
I[3][2]='0';
I[3][3]=new Array();
I[3][3][0]=new Array('2.700','',1,100,1);
I[3][3][1]=new Array('2.345','',0,0,1);
I[3][3][2]=new Array('1.890','',0,0,1);
I[3][3][3]=new Array('2.360','',0,0,1);
I[4]=new Array();I[4][0]=100;
I[4][1]='';
I[4][2]='0';
I[4][3]=new Array();
I[4][3][0]=new Array('2h 35min.','',0,0,1);
I[4][3][1]=new Array('2h 46min.','',0,0,1);
I[4][3][2]=new Array('3h 12min.','',1,100,1);
I[4][3][3]=new Array('3h 15min.','',0,0,1);
function StartUp(){
//If there's only one question, no need for question navigation controls
if (QsToShow < 2){
document.getElementById('QNav').style.display = 'none';
}
//Stash the instructions so they can be redisplayed
strInstructions = document.getElementById('InstructionsDiv').innerHTML;
CompleteEmptyFeedback();
SetUpQuestions();
ClearTextBoxes();
CreateStatusArray();
//Check search string for q parameter
if (document.location.search.length > 0){
if (ShuffleQs == false){
var JumpTo = parseInt(document.location.search.substring(1,document.location.search.length))-1;
if (JumpTo <= QsToShow){
ChangeQ(JumpTo);
}
}
}
//Undocumented function added 10/12/2004
ShowSpecialReadingForQuestion();
}
function ShowHideQuestions(){
document.getElementById('ShowMethodButton').style.display = 'none';
if (ShowingAllQuestions == false){
for (var i=0; i<QArray.length; i++){
QArray[i].style.display = '';
}
document.getElementById('Questions').style.listStyleType = 'decimal';
document.getElementById('OneByOneReadout').style.display = 'none';
document.getElementById('ShowMethodButton').innerHTML = ShowOneByOneCaption;
ShowingAllQuestions = true;
}
else{
for (var i=0; i<QArray.length; i++){
if (i != CurrQNum){
QArray[i].style.display = 'none';
}
}
document.getElementById('Questions').style.listStyleType = 'none';
document.getElementById('OneByOneReadout').style.display = '';
document.getElementById('ShowMethodButton').innerHTML = ShowAllQuestionsCaption;
ShowingAllQuestions = false;
}
document.getElementById('ShowMethodButton').style.display = 'inline';
}
function CreateStatusArray(){
var QNum, ANum;
//For each item in the item array
for (QNum=0; QNum<I.length; QNum++){
//Check if the question still exists (hasn't been nuked by showing a random selection)
if (document.getElementById('Q_' + QNum) != null){
State[QNum] = new Array();
State[QNum][0] = -1; //Score for this q; -1 shows question not done yet
State[QNum][1] = new Array(); //answers
for (ANum = 0; ANum<I[QNum][3].length; ANum++){
State[QNum][1][ANum] = 0; //answer not chosen yet; when chosen, will store its position in the series of choices
}
State[QNum][2] = 0; //tries at this q so far
State[QNum][3] = 0; //incrementing percent-correct values of selected answers
State[QNum][4] = 0; //penalties incurred for hints
State[QNum][5] = ''; //Sequence of answers chosen by number
}
else{
State[QNum] = null;
}
}
}
function CheckMCAnswer(QNum, ANum, Btn){
//if question doesn't exist, bail
if (State[QNum].length < 1){return;}
//Get the feedback
Feedback = I[QNum][3][ANum][1];
//Now show feedback and bail if question already complete
if (State[QNum][0] > -1){
//Add an extra message explaining that the question
// is finished if defined by the user
if (strQuestionFinished.length > 0){Feedback += '<br />' + strQuestionFinished;}
//Show the feedback
ShowMessage(Feedback);
//New for 6.2.2.1: If you want to mark an answer as correct even when it's the final choice, uncomment this line.
// if (I[QNum][3][ANum][2] >= 1){Btn.innerHTML = CorrectIndicator;}else{Btn.innerHTML = IncorrectIndicator;}
return;
}
//Hide the button while processing
Btn.style.display = 'none';
//Increment the number of tries
State[QNum][2]++;
//Add the percent-correct value of this answer
State[QNum][3] += I[QNum][3][ANum][3];
//Store the try number in the answer part of the State array, for tracking purposes
State[QNum][1][ANum] = State[QNum][2];
if (State[QNum][5].length > 0){State[QNum][5] += ' | ';}
State[QNum][5] += String.fromCharCode(65+ANum);
//Should this answer be accepted as correct?
if (I[QNum][3][ANum][2] < 1){
//It's wrong
//Mark the answer
Btn.innerHTML = IncorrectIndicator;
//Remove any previous score unless exercise is finished (6.0.3.8+)
if (Finished == false){
WriteToInstructions(strInstructions);
}
//Check whether this leaves just one MC answer unselected, in which case the Q is terminated
var RemainingAnswer = FinalAnswer(QNum);
if (RemainingAnswer > -1){
//Behave as if the last answer had been selected, but give no credit for it
//Increment the number of tries
State[QNum][2]++;
//Calculate the score for this question
CalculateMCQuestionScore(QNum);
//Get the overall score and add it to the feedback
CalculateOverallScore();
//New for 6.2.2.1
var QsDone = CheckQuestionsCompleted();
if ((ContinuousScoring == true)||(Finished == true)){
Feedback += '<br />' + YourScoreIs + ' ' + Score + '%.' + '<br />' + QsDone;
WriteToInstructions(YourScoreIs + ' ' + Score + '%.' + '<br />' + QsDone);
}
else{
WriteToInstructions(QsDone);
}
}
}
else{
//It's right
//Mark the answer
Btn.innerHTML = CorrectIndicator;
//Calculate the score for this question
CalculateMCQuestionScore(QNum);
//New for 6.2.2.0
var QsDone = CheckQuestionsCompleted();
//Get the overall score and add it to the feedback
if (ContinuousScoring == true){
CalculateOverallScore();
if ((ContinuousScoring == true)||(Finished == true)){
Feedback += '<br />' + YourScoreIs + ' ' + Score + '%.' + '<br />' + QsDone;
WriteToInstructions(YourScoreIs + ' ' + Score + '%.' + '<br />' + QsDone);
}
}
else{
WriteToInstructions(QsDone);
}
}
//Show the button again
Btn.style.display = 'inline';
//Finally, show the feedback
ShowMessage(Feedback);
//Check whether all questions are now done
CheckFinished();
}
function CalculateMCQuestionScore(QNum){
var Tries = State[QNum][2] + State[QNum][4]; //include tries and hint penalties
var PercentCorrect = State[QNum][3];
var TotAns = GetTotalMCAnswers(QNum);
var HintPenalties = State[QNum][4];
//Make sure it's not already complete
if (State[QNum][0] < 0){
//Allow for Hybrids
if (HintPenalties >= 1){
State[QNum][0] = 0;
}
else{
//This line calculates the score for this question
if (TotAns == 1){
State[QNum][0] = 1;
}
else{
State[QNum][0] = ((TotAns-((Tries*100)/State[QNum][3]))/(TotAns-1));
}
}
//Fix for Safari bug added for version 6.0.3.42 (negative infinity problem)
if ((State[QNum][0] < 0)||(State[QNum][0] == Number.NEGATIVE_INFINITY)){
State[QNum][0] = 0;
}
}
}
function GetTotalMCAnswers(QNum){
var Result = 0;
for (var ANum=0; ANum<I[QNum][3].length; ANum++){
if (I[QNum][3][ANum][4] == 1){ //This is an MC answer
Result++;
}
}
return Result;
}
function FinalAnswer(QNum){
var UnchosenAnswers = 0;
var FinalAnswer = -1;
for (var ANum=0; ANum<I[QNum][3].length; ANum++){
if (I[QNum][3][ANum][4] == 1){ //This is an MC answer
if (State[QNum][1][ANum] < 1){ //This answer hasn't been chosen yet
UnchosenAnswers++;
FinalAnswer = ANum;
}
}
}
if (UnchosenAnswers == 1){
return FinalAnswer;
}
else{
return -1;
}
}
function CalculateOverallScore(){
var TotalWeighting = 0;
var TotalScore = 0;
for (var QNum=0; QNum<State.length; QNum++){
if (State[QNum] != null){
if (State[QNum][0] > -1){
TotalWeighting += I[QNum][0];
TotalScore += (I[QNum][0] * State[QNum][0]);
}
}
}
if (TotalWeighting > 0){
Score = Math.floor((TotalScore/TotalWeighting)*100);
}
else{
//if TotalWeighting is 0, no questions so far have any value, so
//no penalty should be shown.
Score = 100;
}
}
//New for 6.2.2.0
function CheckQuestionsCompleted(){
if (ShowCompletedSoFar == false){return '';}
var QsCompleted = 0;
for (var QNum=0; QNum<State.length; QNum++){
if (State[QNum] != null){
if (State[QNum][0] >= 0){
QsCompleted++;
}
}
}
//Fixes for 6.2.2.2
if (QsCompleted >= QArray.length){
return ExerciseCompleted;
}
else{
return CompletedSoFar + ' ' + QsCompleted + '/' + QArray.length + '.';
}
}
function CheckFinished(){
var FB = '';
var AllDone = true;
for (var QNum=0; QNum<State.length; QNum++){
if (State[QNum] != null){
if (State[QNum][0] < 0){
AllDone = false;
}
}
}
if (AllDone == true){
//Report final score and submit if necessary
CalculateOverallScore();
FB = YourScoreIs + ' ' + Score + '%.';
if (ShowCorrectFirstTime == true){
var CFT = 0;
for (QNum=0; QNum<State.length; QNum++){
if (State[QNum] != null){
if (State[QNum][0] >= 1){
CFT++;
}
}
}
FB += '<br />' + CorrectFirstTime + ' ' + CFT + '/' + QsToShow;
}
//New for 6.2.2.0
FB += '<br />' + ExerciseCompleted;
WriteToInstructions(FB);
Finished == true;
TimeOver = true;
Locked = true;
Finished = true;
Detail = '<?xml version="1.0"?><hpnetresult><fields>';
for (QNum=0; QNum<State.length; QNum++){
if (State[QNum] != null){
if (State[QNum][5].length > 0){
Detail += '<field><fieldname>Question #' + (QNum+1) + '</fieldname><fieldtype>question-tracking</fieldtype><fieldlabel>Q ' + (QNum+1) + '</fieldlabel><fieldlabelid>QuestionTrackingField</fieldlabelid><fielddata>' + State[QNum][5] + '</fielddata></field>';
}
}
}
Detail += '</fields></hpnetresult>';
}
}
//-->
//]]>
</script>
</head>
<body onload="StartUp()" id="TheBody">
<!-- BeginTopNavButtons -->
<!-- EndTopNavButtons -->
<div class="Titles">
<h2 class="ExerciseTitle">Problemas
envolvendo torneiras </h2>
<h3 class="ExerciseSubtitle">Quiz</h3>
</div>
<div id="InstructionsDiv"
class="StdDiv">
<div id="Instructions"></div>
</div>
<div id="ContainerDiv">
<div class="ExerciseContainer">
<div id="QNav"
class="QuestionNavigation">
<p style="text-align: right;"><button
id="ShowMethodButton" class="FuncButton"
onclick="ShowHideQuestions(); return false;">Mostrar
todas perguntas</button>
</p>
<div id="OneByOneReadout">
<button id="PrevQButton"
class="FuncButton" onclick="ChangeQ(-1); return false;"><=</button>
<span id="QNumReadout" class="QNum"> </span>
<button id="NextQButton"
class="FuncButton" onclick="ChangeQ(1); return false;">=></button>
<br>
</div>
</div>
<ol class="QuizQuestions"
id="Questions">
<li class="QuizQuestion" id="Q_0"
style="display: none;">
<div class="QuestionText">Um
tanque é alimentado por duas torneiras. A primeira enche-o
em 6 horas e a segunda em 4. Funcionando juntas, quanto tempo
levarão para encher o tanque?</div>
<ol class="MCAnswers">
<li id="Q_0_0"><button
class="FuncButton" id="Q_0_0_Btn"
onclick="CheckMCAnswer(0,0,this)">?</button> 2h
30min</li>
<li id="Q_0_1"><button
class="FuncButton" id="Q_0_1_Btn"
onclick="CheckMCAnswer(0,1,this)">?</button> 2h
24min.</li>
<li id="Q_0_2"><button
class="FuncButton" id="Q_0_2_Btn"
onclick="CheckMCAnswer(0,2,this)">?</button> 2h
45min</li>
<li id="Q_0_3"><button
class="FuncButton" id="Q_0_3_Btn"
onclick="CheckMCAnswer(0,3,this)">?</button> 1h
24min</li>
</ol>
</li>
<li class="QuizQuestion" id="Q_1"
style="display: none;">
<div class="QuestionText">Um
reservatório tem capacidade de 360 litros de
água. Uma torneira o enche em 15 horas e outra o esvazia em
20 horas. Abrindo-se as duas torneiras ao mesmo tempo, em quantas horas
o reservatório ficará cheio?</div>
<ol class="MCAnswers">
<li id="Q_1_0"><button
class="FuncButton" id="Q_1_0_Btn"
onclick="CheckMCAnswer(1,0,this)">?</button> 30
horas</li>
<li id="Q_1_1"><button
class="FuncButton" id="Q_1_1_Btn"
onclick="CheckMCAnswer(1,1,this)">?</button> 40
horas</li>
<li id="Q_1_2"><button
class="FuncButton" id="Q_1_2_Btn"
onclick="CheckMCAnswer(1,2,this)">?</button> 50
horas</li>
<li id="Q_1_3"><button
class="FuncButton" id="Q_1_3_Btn"
onclick="CheckMCAnswer(1,3,this)">?</button> 60
horas</li>
</ol>
</li>
<li class="QuizQuestion" id="Q_2"
style="display: none;">
<div class="QuestionText">Uma
torneira enche um tanque em 12 horas; uma outra torneira enche-o em 15
horas. Estando o tanque vazio e abrindo-se as duas torneiras ao mesmo
instante em quanto tempo ficará cheio?</div>
<ol class="MCAnswers">
<li id="Q_2_0"><button
class="FuncButton" id="Q_2_0_Btn"
onclick="CheckMCAnswer(2,0,this)">?</button> 5h
40 min.</li>
<li id="Q_2_1"><button
class="FuncButton" id="Q_2_1_Btn"
onclick="CheckMCAnswer(2,1,this)">?</button> 6h
40 min.</li>
<li id="Q_2_2"><button
class="FuncButton" id="Q_2_2_Btn"
onclick="CheckMCAnswer(2,2,this)">?</button> 7h
30min.</li>
<li id="Q_2_3"><button
class="FuncButton" id="Q_2_3_Btn"
onclick="CheckMCAnswer(2,3,this)">?</button> 8h
45min</li>
</ol>
</li>
<li class="QuizQuestion" id="Q_3"
style="display: none;">
<div class="QuestionText">(CJF)
Uma torneira despeja 180 litros de água em 9 minutos.
Quantos litros despejará em 2 horas e um quarto?</div>
<ol class="MCAnswers">
<li id="Q_3_0"><button
class="FuncButton" id="Q_3_0_Btn"
onclick="CheckMCAnswer(3,0,this)">?</button> 2.700</li>
<li id="Q_3_1"><button
class="FuncButton" id="Q_3_1_Btn"
onclick="CheckMCAnswer(3,1,this)">?</button> 2.345</li>
<li id="Q_3_2"><button
class="FuncButton" id="Q_3_2_Btn"
onclick="CheckMCAnswer(3,2,this)">?</button> 1.890</li>
<li id="Q_3_3"><button
class="FuncButton" id="Q_3_3_Btn"
onclick="CheckMCAnswer(3,3,this)">?</button> 2.360</li>
</ol>
</li>
<li class="QuizQuestion" id="Q_4"
style="display: none;">
<div class="QuestionText">TRE-
Uma torneira jorra 10 litros d'água por minuto, enchendo um
tanque em 8 horas. Sabendo-se que a torneira lança 25 litros
d'água por minuto, o tempo necessário para encher
o mesmo tanque é de:</div>
<ol class="MCAnswers">
<li id="Q_4_0"><button
class="FuncButton" id="Q_4_0_Btn"
onclick="CheckMCAnswer(4,0,this)">?</button> 2h
35min.</li>
<li id="Q_4_1"><button
class="FuncButton" id="Q_4_1_Btn"
onclick="CheckMCAnswer(4,1,this)">?</button> 2h
46min.</li>
<li id="Q_4_2"><button
class="FuncButton" id="Q_4_2_Btn"
onclick="CheckMCAnswer(4,2,this)">?</button> 3h
12min.</li>
<li id="Q_4_3"><button
class="FuncButton" id="Q_4_3_Btn"
onclick="CheckMCAnswer(4,3,this)">?</button> 3h
15min.</li>
</ol>
</li>
</ol>
</div>
</div>
<div class="Feedback" id="FeedbackDiv">
<div class="FeedbackText"
id="FeedbackContent"></div>
<button id="FeedbackOKButton"
class="FuncButton" onclick="HideFeedback(); return false;"> OK </button>
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Vergniaudhttp://www.blogger.com/profile/17556154627187342081noreply@blogger.com0tag:blogger.com,1999:blog-8632209536522359737.post-29160507469197262112023-11-08T07:53:00.004-03:002023-11-13T09:09:06.266-03:00PROBLEMAS USANDO CONJUNTO<p> </p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">1) Em uma
festa forma servidos dois tipos de bebidas alcoólicas:<span style="mso-spacerun: yes;"> </span>vinho e cerveja. Sabendo-se que na festa
havia 55 pessoas das quais 30 tomaram cerveja, 15 tomaram vinho e 10 tomaram tanto
cerveja quanto vinho. Então:<o:p></o:p></span></b></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">a) quantas pessoas tomaram tanto vinho quanto cerveja? <span style="color: red;">10</span><o:p></o:p></span></b></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">b) quantas pessoas tomaram<span style="mso-spacerun: yes;"> </span>vinho mas não tomaram cerveja? <span style="color: red;">5</span><o:p></o:p></span></b></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">c) quantas pessoas tomaram cerveja mas não tomaram vinho? <span style="color: red;">20</span><o:p></o:p></span></b></p><p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><span style="color: red;"><br /></span></span></b></p>
<h3 style="margin-bottom: 0cm; text-align: left;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p> <u>Resposta:</u></o:p></span></b></h3><p class="MsoNormal" style="margin-bottom: 0cm;"><b>Usando o diagrama de Venn</b></p><p class="MsoNormal" style="margin-bottom: 0cm;"><b>Começa com os elementos que é comum a vinho e cerveja, isto é, o conjunto intersecção</b></p><p class="MsoNormal" style="margin-bottom: 0cm;"><b>Vinho ⋂ cerveja = <span style="color: red;">10</span></b></p><p class="MsoNormal" style="margin-bottom: 0cm;"><b>Para preencher o conjunto que representa vinhos subtrair 10 do total de pessoas que tomam vinhos lembrando que 10 já esta incluídos.</b></p><p class="MsoNormal" style="margin-bottom: 0cm;"><b>15 pessoas tomam vinho</b></p><p class="MsoNormal" style="margin-bottom: 0cm;"><b>15 - 10 = <span style="color: red;">5</span></b></p><p class="MsoNormal" style="margin-bottom: 0cm;"><b>A mesma coisa faz com o conjunto das pessoas que tomam cerveja.</b></p><p class="MsoNormal" style="margin-bottom: 0cm;"><b>30 pessoas tomam cerveja</b></p><p class="MsoNormal" style="margin-bottom: 0cm;"><b>30 - 10 = <span style="color: red;">20</span><br /></b><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p></o:p></span></b></p><div class="separator" style="clear: both; text-align: center;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjna5r8S96Lp_ndMtRbGbBi3nxIn-TlJAj2cwZ9GUc6mSPTppv2NMtv6XvpHGxFvHhd9sbmfJHZGK5xwKkHRkT63HfkYwZawMeRCHmafqLdSDGetEnqur-2QaJqk1L9ubvH5W-q1VRy3Xex-FKFqlIqVAK2MVQiFTgAxqoD0B_hFrSG22jrDM4v3QRc" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="198" data-original-width="204" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEjna5r8S96Lp_ndMtRbGbBi3nxIn-TlJAj2cwZ9GUc6mSPTppv2NMtv6XvpHGxFvHhd9sbmfJHZGK5xwKkHRkT63HfkYwZawMeRCHmafqLdSDGetEnqur-2QaJqk1L9ubvH5W-q1VRy3Xex-FKFqlIqVAK2MVQiFTgAxqoD0B_hFrSG22jrDM4v3QRc" width="247" /></a></span></b></div><div class="separator" style="clear: both; text-align: center;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><br /></span></b></div><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><br /></span></b><p></p>
<p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">2) Em um
determinado bairro, há 60 famílias, das quais 50 possuem rádio, 40 possuem
televisão, 32 possuem os dois aparelhos.<o:p></o:p></span></b></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">a) quantas famílias possuem apenas rádios? <o:p></o:p></span></b><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 18.4px; mso-bidi-font-size: 11.0pt;"><o:p><span style="color: red;">18</span></o:p></span></b></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">b) quantas pessoas possuem apenas televisão? <span style="color: red;">2</span><o:p></o:p></span></b></p>
<h3 style="margin-bottom: 0cm; text-align: left;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p><u> Respostas:</u></o:p></span></b></h3><p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p>rádio ∩ tv = <span style="color: red;">32</span></o:p></span></b></p><p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p>50 rádios</o:p></span></b></p><p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p>50 - 32 = <span style="color: red;">18</span></o:p></span></b></p><p class="MsoNormal" style="margin-bottom: 0cm;"><b>40 tv</b></p><p class="MsoNormal" style="margin-bottom: 0cm;"><b>40 - 32 =<span style="color: red;">8</span></b></p><p class="MsoNormal" style="margin-bottom: 0cm;"><b>32 + 18 + 8 = <span style="color: red;">58</span></b></p><p class="MsoNormal" style="margin-bottom: 0cm;"><b>60 - 58 = <span style="color: red;">2</span></b></p><p class="MsoNormal" style="margin-bottom: 0cm;"><b>logo <span style="color: red;">2</span> não possuem nenhum dos aparelhos</b></p><p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p></o:p></span></b></p><div class="separator" style="clear: both; text-align: center;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEi_rvL_v-Eq5txuEnvTGF3W4awmsJmW3aizM8kdMhCemjkCtQjDFI5fK3n6obVHW52AAZtLSCYXvkufjmcaWWzzi1x-DIqrjexQzlC09VmYTc8x4c8tjm8jf3IXSL1H7PQlpxvagzuz0WeN7NQnok3BVw96zkysyL4lW2fAnY-hY6ZBdeH9__Ak7Tgv" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="190" data-original-width="189" height="205" src="https://blogger.googleusercontent.com/img/a/AVvXsEi_rvL_v-Eq5txuEnvTGF3W4awmsJmW3aizM8kdMhCemjkCtQjDFI5fK3n6obVHW52AAZtLSCYXvkufjmcaWWzzi1x-DIqrjexQzlC09VmYTc8x4c8tjm8jf3IXSL1H7PQlpxvagzuz0WeN7NQnok3BVw96zkysyL4lW2fAnY-hY6ZBdeH9__Ak7Tgv=w204-h205" width="204" /></a></span></b></div><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><br /><br /></span></b><p></p>
<p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">3) Em um
conservatório com 80 alunos, 50 estudam piano, 35 estudam violão e 20 estudam
os dois instrumentos. Considerando-se apenas esses dois instrumentos,
pergunta-se:<o:p></o:p></span></b></p>
<p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">a) quantos
alunos estudam apenas piano e não estudam violão? <o:p></o:p></span></b><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 18.4px; mso-bidi-font-size: 11.0pt;"><o:p><span style="color: red;">30</span></o:p></span></b></p>
<p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">b) quantos
alunos estudam apenas violão e não estudam piano? <o:p></o:p></span></b><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 18.4px; mso-bidi-font-size: 11.0pt;"><o:p><span style="color: red;">15</span></o:p></span></b></p>
<p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">c) quantos
alunos não estudam nenhum dos dois instrumentos? <o:p></o:p></span></b><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 18.4px; mso-bidi-font-size: 11.0pt;"><o:p><span style="color: red;">15</span></o:p></span></b></p>
<p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p> Resposta:</o:p></span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p>violão ∩ piano <span style="color: red;">20</span></o:p></span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p>violão = 35</o:p></span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p>Só violão: 35 - 20 = <span style="color: red;">15</span></o:p></span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p>Só piano: 50 - 20 = <span style="color: red;">30</span></o:p></span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p>Total dos que estudam algum instrumento: 20+ 15 + 30 = <span style="color: red;">65</span> </o:p></span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p>Não estudam nenhum dos instrumentos: 80 - 65 = <span style="color: red;">15</span></o:p></span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p></o:p></span></b></p><div class="separator" style="clear: both; text-align: center;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEj8yXkiAEcFX2LbDJABFoS-aR7hUU14ED0V2V1qyv8S4ixyqVKHMabP5NPHQv1F9o6AJeBPABKXIpOReGk3KmuQWU4UfkFqeqlzEsZacTGpwk6WfGNreV7YjT9WeV3LtzL07m8mXbvP9zcsCz9Ghpd7Rr9eIOu6DJ2l_y6NapQXW6Js4aLx-NfWKtSZ" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="232" data-original-width="235" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEj8yXkiAEcFX2LbDJABFoS-aR7hUU14ED0V2V1qyv8S4ixyqVKHMabP5NPHQv1F9o6AJeBPABKXIpOReGk3KmuQWU4UfkFqeqlzEsZacTGpwk6WfGNreV7YjT9WeV3LtzL07m8mXbvP9zcsCz9Ghpd7Rr9eIOu6DJ2l_y6NapQXW6Js4aLx-NfWKtSZ" width="243" /></a></span></b></div><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><br /><br /></span></b><p></p>
<p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">4)Em um
grupo de 180 estudantes, 60% assistem às aulas de francês e 40% assistem às
aulas de inglês mas não as de francês. Dos que assistem às aulas de francês,
25% também assistem ás aulas de inglês. O número de estudantes que assistem ás
aulas de inglês é: <o:p></o:p></span></b></p><h3 style="text-align: left;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><u>Respostas:</u></span></b></h3><div><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">Pode usar o diagrama de Venn para responder.</span></b></div><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">Calculando as porcentagens.</span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">180 de 60% é 108 </span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">108 pessoas assistem às aulas de francês</span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">180 de 40% é 72</span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">72 pessoas assistem às aulas de inglês</span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">108 de 25% é 27</span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">27 pessoas assistem francês e inglês.</span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">Inglês 72 + 27 = <span style="color: red;">99</span></span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><br /></span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">5) Numa
turma de 60 alunos, verificou-se que 28 alunos gostam de futebol, 16 alunos
gostam de basquete e 5 não gostam nem de futebol nem de basquete. Quantos
alunos desta turma gostam de futebol e basquete, ao mesmo tempo?</span></b></p>
<h3 style="text-align: left;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p> <u>Respostas:</u></o:p></span></b></h3><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p>Turma de 60 alunos</o:p></span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p>28 gostam de futebol</o:p></span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p>16 gostam de basquete</o:p></span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p>5 não gostam de nenhum dos esportes citados</o:p></span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p>Subtraindo 60 de 5</o:p></span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p>60 - 5 = 55</o:p></span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p>Agora temos o total de alunos que gostam dos esportes citados na questão que é 55.</o:p></span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p>Somando Futebol + basquete </o:p></span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p>28 + 16 = 44</o:p></span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p>Subtraindo do total </o:p></span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p>55 - 44 = 11</o:p></span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p><span style="color: red;">11</span> gostam de ambos esportes.</o:p></span></b></p>
<p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><br /></span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">6) Numa
classe de 50 alunos, 25 falam inglês e 10 falam francês. Desses aluno, 5 não
falam nem inglês e nem francês. Quantos falam ambas línguas?<o:p></o:p></span></b></p>
<h3 style="text-align: left;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><o:p> <u>Resposta:</u></o:p></span></b></h3><p class="MsoNormal"><b>total de alunos 50</b></p><p class="MsoNormal"><b>5 não falam nenhuma nem outra</b></p><p class="MsoNormal"><b>50 - 5 = 45</b></p><p class="MsoNormal"><b>Inglês + francês </b></p><p class="MsoNormal"><b>25 + 10 = 35</b></p><p class="MsoNormal"><b>45 - 35 = 10</b></p><p class="MsoNormal"><b><span style="color: red;">10</span> alunos falam tanto inglês quanto francês.</b></p><p class="MsoNormal"><b><br /></b></p>
<p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">7) Dos 500
músicos de uma filarmônica, 260 tocam instrumentos de sopro, 140 tocam
instrumentos de corda e 60 tocam esses dois tipos de instrumentos. Quantos
músicos dessa filarmônica tocam:</span></b></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">a) instrumentos de sopro? <o:p></o:p></span></b><b><span style="color: red;">200</span></b></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">b)instrumentos de corda? <o:p></o:p></span></b><b><span style="color: red;">80</span></b></p>
<p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">c) nenhum instrumentos? <o:p></o:p></span></b><b><span style="color: red;">160</span></b></p><h3 style="margin-bottom: 0cm; text-align: left;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><u>Respostas:</u></span></b></h3><p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">500 músicos</span></b></p><p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">sopro: 260</span></b></p><p class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">corda: 140</span></b></p><p class="MsoNormal" style="margin-bottom: 0cm;"><b>sopro ∩ corda: 60</b></p><p class="MsoNormal" style="margin-bottom: 0cm;"><b>260 - 60 = <span style="color: red;">200</span></b></p><p class="MsoNormal" style="margin-bottom: 0cm;"><b>corda: 140 - 60 = <span style="color: red;">80</span></b></p><p class="MsoNormal" style="margin-bottom: 0cm;"><b>60 + 200 + 80 = 340</b></p><p class="MsoNormal" style="margin-bottom: 0cm;"><b>500 - 340 = 160</b></p><p class="MsoNormal" style="margin-bottom: 0cm;"><b><span style="color: red;">160</span> não tocam nenhum dos instrumentos citados.</b></p>Vergniaudhttp://www.blogger.com/profile/17556154627187342081noreply@blogger.com0tag:blogger.com,1999:blog-8632209536522359737.post-64578164025779431182023-10-23T08:49:00.008-03:002023-10-23T08:50:05.596-03:00EXERCÍCIOS COM CONTAGEM E ARANJOS SIMPLES<p> 1- Num hospital existem 3 portas de entrada que dão para um amplo saguão, no qual existem 5 elevadores. Um visitante deve se dirigir ao 6° andar, utilizando-se de um dos elevadores. <b>De quantas maneiras diferentes poderá fazê-lo?</b></p><p><br /></p><p>2- <b>Quantos números de três algarismos distintos podem ser formados</b>, usando os algarismos de 1, 2, 3, 4, e 5?</p><p><br /></p><p>3- Numa eleição de uma escola há três candidatos a presidente, cinco a vice-presidente, seis a secretário e sete a tesoureiro. <b>Quantas podem ser os resultados da eleição?</b></p><p><br /></p><p>4- Da palavra <b>PRISMA.</b></p><p>a) o número total de <b>anagramas</b>?</p><p>b) o número de anagramas que começam com a letra P?</p><p>c) o número de anagramas que começam com a letra P e terminam com A?</p><p>d) o número de anagramas que começam com vogal?</p><p><br /></p><p>5- Da palavra <b>DADOS</b>.</p><p>a) quantos <b>anagramas</b> podem formar?</p><p>b) o número de anagramas que começam com uma vogal?</p><p>c) quantos anagramas que começam com uma consoante?</p><p><br /></p><p>6- Uma escola possui 18 professores. Entre eles, serão escolhidos: um diretor, um vice-diretor e um coordenador pedagógico. Quantas são as possibilidades de escolha?</p><p><br /></p><p>7- Uma empresa possui 16 funcionários administrativos, entre os quais serão escolhidos 3, que disputarão para os cargos de diretor, vice-diretor e tesoureiro. De quantas maneiras pode ser feita a escolha?</p><p><br /></p><p>8- Duas pessoas entram num ônibus que tem 7 lugares vagos. De quantas maneiras diferentes as 2 pessoas podem ocupar esses lugares?</p><p><br /></p><p>9- Pedro deseja pintar uma placa com a palavras ABERTO, usando apenas uma cor em cada letra. De quantos modos ele pode pintar, se ele dispõe de 8 cores de tinta?</p><p><br /></p><p>10- <b>Calcule:</b></p><p></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">a) A<sub>4,3<span style="mso-spacerun: yes;"> </span></sub>b) A<sub>5,2 </sub><span style="mso-spacerun: yes;"> </span>c) A<sub>12,3<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span></sub>d) A<sub>18,3</sub><o:p></o:p></span></b></p><br /><p></p><h3 style="text-align: left;"><b>RESPOSTAS:</b></h3><p>1- Num hospital existem 3 portas de entrada que dão para um amplo saguão, no qual existem 5 elevadores. Um visitante deve se dirigir ao 6° andar, utilizando-se de um dos elevadores. De quantas maneiras diferentes poderá fazê-lo?</p><p>3 PORTAS: </p><p>Existem 3 possibilidades</p><p><b><span face=""Calibri","sans-serif"" style="font-size: 12pt; line-height: 115%; mso-ansi-language: PT-BR; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-font-size: 11.0pt; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin;">P<sub>1 </sub>ou<sub> </sub> P<sub>2 </sub> ou P<sub>3</sub></span></b></p><p class="MsoNormal"><b><span style="font-size: 12pt; line-height: 115%;">5 ELEVADORES<o:p></o:p></span></b></p><p>
</p><p class="MsoNormal"><b><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">E<sub>1 </sub>ou<sub> </sub> E<sub>2 </sub> ou E<sub>3 </sub>ou<sub> </sub>E<sub>4
</sub> ou E<sub>5 </sub></span></b></p><p class="MsoNormal"><b><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">Usando o princípio fundamental da contagem</span></b></p><p class="MsoNormal"><b>p= 3 . 5 = 15</b></p><p class="MsoNormal"><b>15 maneiras diferentes.</b></p><p><br /></p><p>2-<b> Quantos números de três algarismos distintos podem ser formados, usando os algarismos de 1, 2, 3, 4, 5 e 6?</b></p><p>Para a casa das <b>centenas</b> existem 6 possibilidades, que pode ser qualquer um dos números.</p><p>Para casa das <b>dezenas</b>, depois de escolhido a centena, restou 5 possibilidades.</p><p>Para a casa das <b>unidades</b>, depois das escolhas das centena e da dezenas restou 4 possibilidades.</p><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 1184;">
<tbody><tr style="height: 13pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;">
<td style="border: 1pt solid black; height: 13pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; padding: 0cm 5.4pt; width: 62.15pt;" valign="top" width="83">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;">Centenas<o:p></o:p></p>
</td>
<td style="border-left: none; border: 1pt solid black; height: 13pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt; width: 62.15pt;" valign="top" width="83">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;">Dezenas<o:p></o:p></p>
</td>
<td style="border-left: none; border: 1pt solid black; height: 13pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt; width: 62.2pt;" valign="top" width="83">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;">Unidades<o:p></o:p></p>
</td>
</tr>
<tr style="height: 13pt; mso-yfti-irow: 1; mso-yfti-lastrow: yes;">
<td style="border-top: none; border: 1pt solid black; height: 13pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt; width: 62.15pt;" valign="top" width="83">
6
</td>
<td style="border-bottom: 1pt solid black; border-left: none; border-right: 1pt solid black; border-top: none; height: 13pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt; width: 62.15pt;" valign="top" width="83">
5
</td>
<td style="border-bottom: 1pt solid black; border-left: none; border-right: 1pt solid black; border-top: none; height: 13pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt; width: 62.2pt;" valign="top" width="83">
4
</td>
</tr>
</tbody></table><p> <b><span style="font-size: 12pt; line-height: 18.4px;">Usando o princípio fundamental da contagem</span></b></p><p class="MsoNormal"><b>p= 6 . 5 . 4 = 120</b></p><p class="MsoNormal"><b>120 números.</b></p><p class="MsoNormal"><b><br /></b></p><p class="MsoNormal">3- <b>Numa eleição de uma escola há quatro candidatos a presidente, cinco a vice-presidente, seis a secretário e sete a tesoureiro. Quantas podem ser os resultados da eleição</b>?</p><p class="MsoNormal"></p><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 1184;">
<tbody><tr style="height: 13pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;">
<td style="border: 1pt solid black; height: 13pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; padding: 0cm 5.4pt; width: 76.3pt;" valign="top" width="102">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;">presidente<o:p></o:p></b></p>
</td>
<td style="border-left: none; border: 1pt solid black; height: 13pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; padding: 0cm 5.4pt; width: 3cm;" valign="top" width="113">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;">Vice-presidente<o:p></o:p></b></p>
</td>
<td style="border-bottom: 1pt solid black; border-left: none; border-right: 1pt solid windowtext; border-top: 1pt solid black; height: 13pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-alt: solid windowtext .5pt; mso-border-themecolor: text1; mso-border-top-themecolor: text1; padding: 0cm 5.4pt; width: 61.8pt;" valign="top" width="82">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;">secretário<o:p></o:p></b></p>
</td>
<td style="border-left: none; border: 1pt solid black; height: 13pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-themecolor: text1; padding: 0cm 5.4pt; width: 30.35pt;" valign="top" width="40">
<p class="MsoNormal" style="line-height: normal; margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;">tesoureiro<o:p></o:p></b></p>
</td>
</tr>
<tr style="height: 13pt; mso-yfti-irow: 1; mso-yfti-lastrow: yes;">
<td style="border-top: none; border: 1pt solid black; height: 13pt; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt; width: 76.3pt;" valign="top" width="102">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><b>4</b></p>
</td>
<td style="border-bottom: 1pt solid black; border-left: none; border-right: 1pt solid black; border-top: none; height: 13pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt; width: 3cm;" valign="top" width="113">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><b style="mso-bidi-font-weight: normal;">5<o:p></o:p></b></p>
</td>
<td style="border-bottom: 1pt solid black; border-left: none; border-right: 1pt solid windowtext; border-top: none; height: 13pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-alt: solid windowtext .5pt; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt; width: 61.8pt;" valign="top" width="82">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><b>6</b></p>
</td>
<td style="border-bottom: 1pt solid black; border-left: none; border-right: 1pt solid black; border-top: none; height: 13pt; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid windowtext .5pt; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding: 0cm 5.4pt; width: 30.35pt;" valign="top" width="40">
<p align="center" class="MsoNormal" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><b style="mso-bidi-font-weight: normal;">7<o:p></o:p></b></p>
</td>
</tr>
</tbody></table><br /><p></p><p><b><span style="font-size: 12pt; line-height: 18.4px;">Usando o princípio fundamental da contagem</span></b></p><p class="MsoNormal"><b>p= 3 . 5 . 6 . 7 = 840 </b><b><span style="font-size: 12pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">A<sub>n,p </sub>=
n . (n-1) . (n-2) . . . (n-p + 1) <sub> </sub></span></b></p><p class="MsoNormal"><b>840 resultados.</b></p><p class="MsoNormal"><b><br /></b></p><p>4- <b>Da palavra PRISMA</b></p><p><b>a) o número total de anagramas?</b></p><p>Como a palavra tem 6 letras</p><p>Usando <b> </b><b><span style="font-size: 12pt; line-height: 18.4px;">A<sub>n,p </sub>= n . (n-1) . (n-2) . . . (n-p + 1) </span></b></p><p><b><span face=""Calibri","sans-serif"" style="font-size: 12pt; line-height: 115%; mso-ansi-language: PT-BR; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-font-size: 11.0pt; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin;">P<sub>6
</sub>= </span></b><b><span style="font-size: 12pt; line-height: 18.4px;">6 . 5 . 4 . 3 . 2 . 1 = 720</span></b></p><p><span style="font-size: 12pt; line-height: 18.4px;">Podemos usar fatorial para encontrar a mesma resposta.</span></p><p><b><span face="Calibri, "sans-serif"" style="font-size: 12pt; line-height: 18.4px;">P<sub>6 </sub>= </span></b><b><span style="font-size: 12pt; line-height: 18.4px;">6! = 720</span></b></p><p><b><span style="font-size: 12pt; line-height: 18.4px;"><br /></span></b></p><p><b>b) o número de anagramas que começam com a letra P?</b></p><p>Nesse caso fixamos a letra <b>P</b> e permutamos as demais.</p><p><u><b>P</b></u> RISMA</p><p><b><span face="Calibri, "sans-serif"" style="font-size: 12pt; line-height: 18.4px;">P<sub>5</sub></span></b><b><span face="Calibri, "sans-serif"" style="font-size: 12pt; line-height: 18.4px;">= </span></b><b><span style="font-size: 12pt; line-height: 18.4px;"> 5 . 4 . 3 . 2 . 1 = 120</span></b></p><p><span style="font-size: 12pt; line-height: 18.4px;">Podemos usar fatorial para encontrar a mesma resposta.</span></p><p><b><span face="Calibri, "sans-serif"" style="font-size: 12pt; line-height: 18.4px;">P<sub>5 </sub>= 5</span></b><b><span style="font-size: 12pt; line-height: 18.4px;">! = 120</span></b></p><p><b><span style="font-size: 12pt; line-height: 18.4px;"><br /></span></b></p><p><b>c) o número de anagramas que começam com a letra P e terminam com A?</b></p><p>Nesse caso fixamos as letras <b>P</b> e A e permutamos as demais.</p><p><u><b>P</b></u> RISM <b><u>A</u></b></p><p><b><span face="Calibri, "sans-serif"" style="font-size: 12pt; line-height: 18.4px;">P<sub>4</sub></span></b><b><span face="Calibri, "sans-serif"" style="font-size: 12pt; line-height: 18.4px;">= </span></b><b><span style="font-size: 12pt; line-height: 18.4px;"> 4 . 3 . 2 . 1 = 24</span></b></p><p><span style="font-size: 12pt; line-height: 18.4px;">Podemos usar fatorial para encontrar a mesma resposta.</span></p><p><b><span face="Calibri, "sans-serif"" style="font-size: 12pt; line-height: 18.4px;">P<sub>4 </sub>= 4</span></b><b><span style="font-size: 12pt; line-height: 18.4px;">! = 24</span></b></p><p><b><span style="font-size: 12pt; line-height: 18.4px;"><br /></span></b></p><p><b>d) o número de anagramas que começam com vogal?</b></p><p>No item b temos 120 anagramas como existem 2 vogais diferentes.</p><p><b>120 . 2 = 240 anagramas.</b></p><p><b><br /></b></p><p>5- <b>Da palavra DADOS.</b></p><p>a) <b>quantos anagramas podem formar?</b></p><p>DADOS = 5 letras</p><p><b><span face="Calibri, "sans-serif"" style="font-size: 12pt; line-height: 18.4px;">P<sub>5 </sub>= 5</span></b><b><span style="font-size: 12pt; line-height: 18.4px;">! = 5 . 4 . 3 . 2 . 1 = 120</span></b></p><p><b><span style="font-size: 12pt; line-height: 18.4px;"><br /></span></b></p><p>b)<b> o número de anagramas que começam com uma vogal?</b></p><p><b><span face="Calibri, "sans-serif"" style="font-size: 12pt; line-height: 18.4px;">P<sub>4 </sub>= 4</span></b><b><span style="font-size: 12pt; line-height: 18.4px;">! = 4 . 3 . 2 . 1 = 24</span></b></p><p><b><span style="font-size: 12pt; line-height: 18.4px;">24 . 2 = 48 anagramas.</span></b></p><p><b><span style="font-size: 12pt; line-height: 18.4px;"><br /></span></b></p><p>c) <b>quantos anagramas que começam com uma consoante?</b></p><p><b><span face="Calibri, "sans-serif"" style="font-size: 12pt; line-height: 18.4px;">P<sub>4 </sub>= 4</span></b><b><span style="font-size: 12pt; line-height: 18.4px;">! = 4 . 3 . 2 . 1 = 24</span></b></p><p><b><span style="font-size: 12pt; line-height: 18.4px;">24 . 3 = 72 anagramas.</span></b></p><p><b><span style="font-size: 12pt; line-height: 18.4px;"><br /></span></b></p><p>6- Uma escola possui 18 professores. Entre eles, serão escolhidos: um diretor, um vice-diretor e um coordenador pedagógico. Quantas são as possibilidades de escolha?</p><p><b><span style="font-size: 12pt; line-height: 18.4px;">Usando o princípio fundamental da contagem</span></b></p><p class="MsoNormal"><b>p= 18 . 17 . 16 = 4896 </b></p><p class="MsoNormal"><b>4896 possibilidades</b></p><p class="MsoNormal"><b><br /></b></p><p>7- Uma empresa possui 16 funcionários administrativos, entre os quais serão escolhidos 3, que disputarão para os cargos de diretor, vice-diretor e tesoureiro. De quantas maneiras pode ser feita a escolha?</p><p><b><span style="font-size: 12pt; line-height: 18.4px;">Usando o princípio fundamental da contagem</span></b></p><p class="MsoNormal"><b>p= 16 . 15 . 14 = 3360 </b></p><p class="MsoNormal"><b>3360 possibilidades.</b></p><p class="MsoNormal"><b><br /></b></p><p>8- Duas pessoas entram num ônibus que tem 7 lugares vagos. De quantas maneiras diferentes as 2 pessoas podem ocupar esses lugares?</p><p><b><span style="font-size: 12pt; line-height: 18.4px;">Usando o princípio fundamental da contagem</span></b></p><p class="MsoNormal"><b>p= 7 . 6 = 42</b></p><p class="MsoNormal"><b>42 maneiras.</b></p><p class="MsoNormal"><b><br /></b></p><p>9- Pedro deseja pintar uma placa com a palavras ABERTO, usando apenas uma cor em cada letra. De quantos modos ele pode pintar, se ele dispõe de 8 cores de tinta?</p><p><b>1ª letra 8 </b><b>opções</b></p><p><b>2ª letra 7 </b><b>opções</b></p><p><b>3ª letra 6 </b><b>opções</b></p><p><b>4ª letra 5 </b><b>opções</b></p><p><b>5ª letra 4 </b><b>opções</b></p><p><b>6ª letra 3 </b><b>opções</b></p><p><b>Logo temos:</b></p><p><b>p = 8 . 7 . 6 . 5 . 4 . 3 = 20160 opções diferentes.</b></p><p><b><br /></b></p><p>10- Calcule:</p><p></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 18.4px; mso-bidi-font-size: 11.0pt;">a) A<sub>4,3<span style="mso-spacerun: yes;"> </span></sub>b) A<sub>5,2 </sub><span style="mso-spacerun: yes;"> </span>c) A<sub>12,3<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span></sub>d) A<sub>18,3</sub></span></b></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 18.4px; mso-bidi-font-size: 11.0pt;"></span></b></p><div class="separator" style="clear: both; text-align: center;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 18.4px; mso-bidi-font-size: 11.0pt;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh9Lq5_rWu8-4ndu2sU4oPDSGgKcxsveDeknywCTeCVuRnT1n_ncPCL4NnpcHPBxrJjrtGXofi1LXIl0_gf7AinzwwWsKf1DKCheJ2vNcwX_lsa1nfTYAMOMp_4X-hWhAb1czhTp5mVtrevSGKiW_jFqujQY5ie6A2kMt16tLvQXTkDITD6UktFULi1/s402/Captura%20de%20tela%202023-10-23%20084338.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="214" data-original-width="402" height="213" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh9Lq5_rWu8-4ndu2sU4oPDSGgKcxsveDeknywCTeCVuRnT1n_ncPCL4NnpcHPBxrJjrtGXofi1LXIl0_gf7AinzwwWsKf1DKCheJ2vNcwX_lsa1nfTYAMOMp_4X-hWhAb1czhTp5mVtrevSGKiW_jFqujQY5ie6A2kMt16tLvQXTkDITD6UktFULi1/w400-h213/Captura%20de%20tela%202023-10-23%20084338.png" width="400" /></a></span></b></div><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12pt; line-height: 18.4px; mso-bidi-font-size: 11.0pt;"><br /><sub><br /></sub></span></b><p></p>Vergniaudhttp://www.blogger.com/profile/17556154627187342081noreply@blogger.com0tag:blogger.com,1999:blog-8632209536522359737.post-7403237689839841332023-07-28T21:41:00.003-03:002023-07-28T21:41:19.872-03:00TIPOS DE FRAÇÕES<p> </p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%;"><b>FRAÇÃO PRÓPRIA
</b>– Seu numerador é menor que o denominador.<b><o:p></o:p></b></span></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"></b></p><div class="separator" style="clear: both; text-align: center;"><b style="mso-bidi-font-weight: normal;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhb0GMzF76RwIAt0riyOEWAxWpQmc4i_0EfnEPuFQpAhpD_UaQv8gz6qUb2qz5m0WLMo6nMvQTXgP3Fvx62WK-wcu2HZoMvlrlvtjO7ls73kQg5S6H5oSDcOJjW4uCL0qRafDRa9HuAnDuHFIBJDoen17G3CNemUdpffcFgvO13LXQhud4DD4-x6HtD/s88/Captura%20de%20tela%202023-07-28%20211747.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="44" data-original-width="88" height="99" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhb0GMzF76RwIAt0riyOEWAxWpQmc4i_0EfnEPuFQpAhpD_UaQv8gz6qUb2qz5m0WLMo6nMvQTXgP3Fvx62WK-wcu2HZoMvlrlvtjO7ls73kQg5S6H5oSDcOJjW4uCL0qRafDRa9HuAnDuHFIBJDoen17G3CNemUdpffcFgvO13LXQhud4DD4-x6HtD/w197-h99/Captura%20de%20tela%202023-07-28%20211747.png" width="197" /></a></b></div><b style="mso-bidi-font-weight: normal;"><br /></b><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%;"><b><br /></b></span></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%;"><b>FRAÇÃO IMPRÓPRIA
</b>– Seu numerador é maior que o denominador.<b><o:p></o:p></b></span></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"></b></p><div class="separator" style="clear: both; text-align: center;"><b style="mso-bidi-font-weight: normal;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhzmNHti1uwRKF6kfsoINRdcWBBCr9SVTX0jZd58xRprAwvRPILvcfLG6aSKJ97wPbEO3s1UI84cadowr_FEaxcQpYWw6JeVosXFzZdcTAlLo3G4fmdpR8NyEcUMViKwiw6XJxGZ4Zi9Zd84zqmG2ulBXA4m7Z60rTYfyDqv_N6i8YuVi0iwZT7pLV_/s87/Captura%20de%20tela%202023-07-28%20212107.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="43" data-original-width="87" height="111" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhzmNHti1uwRKF6kfsoINRdcWBBCr9SVTX0jZd58xRprAwvRPILvcfLG6aSKJ97wPbEO3s1UI84cadowr_FEaxcQpYWw6JeVosXFzZdcTAlLo3G4fmdpR8NyEcUMViKwiw6XJxGZ4Zi9Zd84zqmG2ulBXA4m7Z60rTYfyDqv_N6i8YuVi0iwZT7pLV_/w223-h111/Captura%20de%20tela%202023-07-28%20212107.png" width="223" /></a></b></div><div class="separator" style="clear: both; text-align: center;"><b style="mso-bidi-font-weight: normal;"><br /></b></div><div class="separator" style="clear: both; text-align: center;"><b style="mso-bidi-font-weight: normal;"><br /></b></div><p></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%;"><b>FRAÇÃO APARENTE
</b>– A divisão entre o numerador e o denominador é igual a um número inteiro.<b><o:p></o:p></b></span></p><p class="MsoNormal"><b></b></p><div class="separator" style="clear: both; text-align: center;"><b><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhVfSQTfX-oObxykugEjtLMrnczolyQX5Jx2KJz-TEl4OFnh32V8aGgL-NiSiIFfZqsuOr4P-uHBaIrl8y_TWHEsZCbxnjI5Vki4RB9CystNCS2_stvER5Y0hrRhvqUeTqEit9iIU7r2m8kMFUAS38D8tBGJJvXrft2F-KlEjRd8gynJEIlLUg72mJe/s111/Captura%20de%20tela%202023-07-28%20212709.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="47" data-original-width="111" height="111" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhVfSQTfX-oObxykugEjtLMrnczolyQX5Jx2KJz-TEl4OFnh32V8aGgL-NiSiIFfZqsuOr4P-uHBaIrl8y_TWHEsZCbxnjI5Vki4RB9CystNCS2_stvER5Y0hrRhvqUeTqEit9iIU7r2m8kMFUAS38D8tBGJJvXrft2F-KlEjRd8gynJEIlLUg72mJe/w263-h111/Captura%20de%20tela%202023-07-28%20212709.png" width="263" /></a></b></div><b><br /></b><p></p><p class="MsoNormal"><b><br /></b></p><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%;"><b>FRAÇÃO IRREDUTÍVEL</b>–
O numerador e o denominador possuem seu menor valor possível.<o:p></o:p></span></p><p class="MsoNormal"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgGj681f5Wa9sEAUE6kVSgwSWCzxGQaYgkV3zZahB9r4RhjFqa18dLi3JniGVdNK0AIWzVpc45ZSlg3dM30Nzaqed7g92yu-zMxq0ziPkyd33jAaTs6kFwtw-OuSg1IXW0F7rJpdB1QnnfbphjpPs0eAo8wfKdnX2EoY_Z-QtabF-oSNmgRQ7n-31uI/s99/Captura%20de%20tela%202023-07-28%20213354.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="46" data-original-width="99" height="111" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgGj681f5Wa9sEAUE6kVSgwSWCzxGQaYgkV3zZahB9r4RhjFqa18dLi3JniGVdNK0AIWzVpc45ZSlg3dM30Nzaqed7g92yu-zMxq0ziPkyd33jAaTs6kFwtw-OuSg1IXW0F7rJpdB1QnnfbphjpPs0eAo8wfKdnX2EoY_Z-QtabF-oSNmgRQ7n-31uI/w239-h111/Captura%20de%20tela%202023-07-28%20213354.png" width="239" /></a></div><br /><span style="font-size: 12pt; font-weight: bold; line-height: 115%;"><br /></span><p></p><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"></span></b><p></p><div class="separator" style="clear: both; text-align: center;"></div><p class="MsoNormal"><span style="font-size: 12pt; line-height: 115%;"><b>FRAÇÃO MISTA</b>–
Composta pela parte inteira do número seguida da parte fracionária.<o:p></o:p></span></p><p class="MsoNormal"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi9pZkRJJLyQrUB12UN-Yso4cd0sDlyMIOmSfDvZvJ1mhY8xuc4u7i-At1XNiE1iI-ZRTKK0xnaQ7ZM0sQ3it91oN6VrjLuagLYGXmAHcg_W_besEX86kLUM40CIoR8VR92C4A2sysc1ipw4KPcc5nNZgxDRDWovV7crDlRWhRwjDLI-Sbi94uTBIRx/s145/Captura%20de%20tela%202023-07-28%20213800.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="50" data-original-width="145" height="85" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi9pZkRJJLyQrUB12UN-Yso4cd0sDlyMIOmSfDvZvJ1mhY8xuc4u7i-At1XNiE1iI-ZRTKK0xnaQ7ZM0sQ3it91oN6VrjLuagLYGXmAHcg_W_besEX86kLUM40CIoR8VR92C4A2sysc1ipw4KPcc5nNZgxDRDWovV7crDlRWhRwjDLI-Sbi94uTBIRx/w247-h85/Captura%20de%20tela%202023-07-28%20213800.png" width="247" /></a></div><br /><span style="font-size: 12pt; font-weight: bold; line-height: 115%;"><br /></span><p></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><br /></span></b></p>Vergniaudhttp://www.blogger.com/profile/17556154627187342081noreply@blogger.com0tag:blogger.com,1999:blog-8632209536522359737.post-28568196911951325072023-07-28T13:05:00.003-03:002023-07-28T21:11:42.348-03:00ÁREAS E PERÍMETRO DE ALGUMAS FIGURAS GEOMÉTRICAS<p style="text-align: center;"> <b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Triângulo</span></b></p><div class="separator" style="clear: both; text-align: center;"></div><p></p><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEirXIbMu8OquIkSQMGAj61N2wdldX4tdlFBaGIpyLyfSd6v3blT49xBoZigXYys2j59Sqk0HAd-NCnN7K_MduR_N_TZLmais0k3n63jT6RmUrix0jdn8hZwNBWIgyqS7PsHLXogX5bCxuUpdFz8hkNWhpnxWmtyZFVEZN7oYjJR5mirS4VewNumwFa0" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="244" data-original-width="284" height="209" src="https://blogger.googleusercontent.com/img/a/AVvXsEirXIbMu8OquIkSQMGAj61N2wdldX4tdlFBaGIpyLyfSd6v3blT49xBoZigXYys2j59Sqk0HAd-NCnN7K_MduR_N_TZLmais0k3n63jT6RmUrix0jdn8hZwNBWIgyqS7PsHLXogX5bCxuUpdFz8hkNWhpnxWmtyZFVEZN7oYjJR5mirS4VewNumwFa0=w243-h209" width="243" /></a></div><br /><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgy0REvBO2dPkrNtELUrKBn7BQ-GeXaRer5jUKEjrOGW7IUcaCSY1LSuzNb0ye-zlcwn9mT7I_-mCa7gsEt40kl3xUypaDw_bWdQXWPwzjMdNfNBXJ8joZcubzo6ZQUpz--i5ukIyqG5ogpl45gS7oD9cv7dSQkpnv9ukLsnFOV3rYIw0GhMHXmk3Fd/s382/Captura%20de%20tela%202023-07-28%20204248.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="100" data-original-width="382" height="78" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgy0REvBO2dPkrNtELUrKBn7BQ-GeXaRer5jUKEjrOGW7IUcaCSY1LSuzNb0ye-zlcwn9mT7I_-mCa7gsEt40kl3xUypaDw_bWdQXWPwzjMdNfNBXJ8joZcubzo6ZQUpz--i5ukIyqG5ogpl45gS7oD9cv7dSQkpnv9ukLsnFOV3rYIw0GhMHXmk3Fd/w299-h78/Captura%20de%20tela%202023-07-28%20204248.png" width="299" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><b><div style="text-align: center;"><b><br /></b></div><div style="text-align: center;"><b>Retângulo</b></div></b><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjIcKP4VCmXmv85d1J_zra-bUBp9sNzQ65SKQJZRSaySwqPO-LTE-4yBh3fRS6eyYoiOpGmKDNc_yZoxJhLGbJMiHEaxGboUQ0wd-_St4aGzYjDmOzCVHchidppWWi0SZMDrPiqz_DF7Bsf3APqMm4AAuAGGRzoDWpQMMGMXf70qeREtrK2sxY5rrqk/s201/Captura%20de%20tela%202023-07-28%20204553.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="96" data-original-width="201" height="139" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjIcKP4VCmXmv85d1J_zra-bUBp9sNzQ65SKQJZRSaySwqPO-LTE-4yBh3fRS6eyYoiOpGmKDNc_yZoxJhLGbJMiHEaxGboUQ0wd-_St4aGzYjDmOzCVHchidppWWi0SZMDrPiqz_DF7Bsf3APqMm4AAuAGGRzoDWpQMMGMXf70qeREtrK2sxY5rrqk/w291-h139/Captura%20de%20tela%202023-07-28%20204553.png" width="291" /></a></div><div><br /><div class="separator" style="clear: both; text-align: center;"><p align="center" style="line-height: 115%; margin-bottom: 0cm; orphans: 0; widows: 0;"><span style="font-size: 12pt;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKrF97KiJgTwiwWq3TliAmJrvU6PVxztmcMkj83_2A0fG0mZvdc2R9oeHKS-CBSe4q9F9qWiPcr4u2B6XvzwYZkkJhYIL6zW9f6G9-dQ1H_tsv1mi3EQrB9qus5qVp8pu0yAMRHcPB3cUc5p2pG5cRQk_hm12Dw0pshzFl3pDE8CJ8JipeZbvl919r/s380/Captura%20de%20tela%202023-07-28%20204713.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="87" data-original-width="380" height="68" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKrF97KiJgTwiwWq3TliAmJrvU6PVxztmcMkj83_2A0fG0mZvdc2R9oeHKS-CBSe4q9F9qWiPcr4u2B6XvzwYZkkJhYIL6zW9f6G9-dQ1H_tsv1mi3EQrB9qus5qVp8pu0yAMRHcPB3cUc5p2pG5cRQk_hm12Dw0pshzFl3pDE8CJ8JipeZbvl919r/w297-h68/Captura%20de%20tela%202023-07-28%20204713.png" width="297" /></a><b> </b></span></p></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><b>Quadrado</b></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEghs4-3XAhagQX52y0mvBhMWzUIb_EuOchTxlQF74Nl_CLkMJA9FD-DasweYAZk3gw6lD_cpI2dltfHUJ7sII0lc-KcYkwKG6vpHLYWW7RNJklst_TTHlb-UtRk3wHjB0t-JnqxcUpT0PqrScMPYzmRWtcO7xdQCP4hXzrp-WqThDKM8L-UkGzo7AJ2/s129/Captura%20de%20tela%202023-07-28%20205039.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="118" data-original-width="129" height="222" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEghs4-3XAhagQX52y0mvBhMWzUIb_EuOchTxlQF74Nl_CLkMJA9FD-DasweYAZk3gw6lD_cpI2dltfHUJ7sII0lc-KcYkwKG6vpHLYWW7RNJklst_TTHlb-UtRk3wHjB0t-JnqxcUpT0PqrScMPYzmRWtcO7xdQCP4hXzrp-WqThDKM8L-UkGzo7AJ2/w243-h222/Captura%20de%20tela%202023-07-28%20205039.png" width="243" /></a></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgsu5OVcbb_WiW-Ln8VmFj0PuT23PNTd3MjM5sRrjervzTWDxSFQO0pvLUXnPCQg8EiwaXk2F2VvZy2EN6WVkvo4xJUA7Ntmhh0MRqETSB1Rv2S2CTg2BpGxjCUTLGjwqLtm7g6Z8hsOAiHoK_7md3YHW4qaV3K9uHtcRB0a3vcyGRTq3qib0XRw2-s/s385/Captura%20de%20tela%202023-07-28%20205400.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="90" data-original-width="385" height="66" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgsu5OVcbb_WiW-Ln8VmFj0PuT23PNTd3MjM5sRrjervzTWDxSFQO0pvLUXnPCQg8EiwaXk2F2VvZy2EN6WVkvo4xJUA7Ntmhh0MRqETSB1Rv2S2CTg2BpGxjCUTLGjwqLtm7g6Z8hsOAiHoK_7md3YHW4qaV3K9uHtcRB0a3vcyGRTq3qib0XRw2-s/w282-h66/Captura%20de%20tela%202023-07-28%20205400.png" width="282" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><p class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm; mso-margin-top-alt: auto;"><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"><br /></span></b></p><p class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm; mso-margin-top-alt: auto;"><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Trapézio</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"><o:p></o:p></span></p><p class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm; mso-margin-top-alt: auto;"><b></b></p><div class="separator" style="clear: both; text-align: center;"><b><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg3a_xtwZXFvaNObcYuXBU-9SeLg1y6A_35X9DoSngD2KgbCQdZUn2A7bMUUrIijsjgAXjYK2ina1-Obhj0bPropTtqi1Tnk_EPcjsy5u04JdK2zKeornWt0ro_H5vRKhBLygOItUtGQiyKkS6AwiAw3XdcB5wNFlMDJkkQPwAzX1nlCBFDOJfr2A81/s166/Captura%20de%20tela%202023-07-28%20205601.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="96" data-original-width="166" height="165" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg3a_xtwZXFvaNObcYuXBU-9SeLg1y6A_35X9DoSngD2KgbCQdZUn2A7bMUUrIijsjgAXjYK2ina1-Obhj0bPropTtqi1Tnk_EPcjsy5u04JdK2zKeornWt0ro_H5vRKhBLygOItUtGQiyKkS6AwiAw3XdcB5wNFlMDJkkQPwAzX1nlCBFDOJfr2A81/w286-h165/Captura%20de%20tela%202023-07-28%20205601.png" width="286" /></a></b></div><div class="separator" style="clear: both; text-align: center;"><b><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjwwAVQNpy_m3aePNiYZJUC5jIla5H0aAliC-qm2lQLNWWU1ypXV1sa1SBVw4PM5HFbigSt8qkaT1z38l92D879f1kVgMDCWyXnUVU6Kxhqb6JvA9urgD6pkC0gKsYNsG2FhnoE-cjo6-vey_3mlxO51X8ADZtj-F2VYO1MrvvamZeaNd3gaQ3jv_AU/s387/Captura%20de%20tela%202023-07-28%20205843.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="105" data-original-width="387" height="80" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjwwAVQNpy_m3aePNiYZJUC5jIla5H0aAliC-qm2lQLNWWU1ypXV1sa1SBVw4PM5HFbigSt8qkaT1z38l92D879f1kVgMDCWyXnUVU6Kxhqb6JvA9urgD6pkC0gKsYNsG2FhnoE-cjo6-vey_3mlxO51X8ADZtj-F2VYO1MrvvamZeaNd3gaQ3jv_AU/w295-h80/Captura%20de%20tela%202023-07-28%20205843.png" width="295" /></a></b></div><b><br /><div class="separator" style="clear: both; text-align: center;"><br /></div></b><p></p><p class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm; mso-margin-top-alt: auto;"><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"><br /></span></b></p><p class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm; mso-margin-top-alt: auto;"><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Losango</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"><o:p></o:p></span></p><p class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm; mso-margin-top-alt: auto;"><b></b></p><div class="separator" style="clear: both; text-align: center;"><b><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgFVigKNh0tHSFRn-pGD3aUAOG0Nnyq69kvNVShpfGhsMOBcre1fjrAhK99V5OCC8hjMlW18Z63QE3K6z5a7KQHeklnZFjygOqx_mxbetIyukZjoGVo9gvK6PXY1RiPiIecGEuewoDeIeXqV9CGviRJTbHVsGci58e-nT_sR1vEhpufSVMCAPJyrN2i/s190/Captura%20de%20tela%202023-07-28%20210024.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="104" data-original-width="190" height="175" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgFVigKNh0tHSFRn-pGD3aUAOG0Nnyq69kvNVShpfGhsMOBcre1fjrAhK99V5OCC8hjMlW18Z63QE3K6z5a7KQHeklnZFjygOqx_mxbetIyukZjoGVo9gvK6PXY1RiPiIecGEuewoDeIeXqV9CGviRJTbHVsGci58e-nT_sR1vEhpufSVMCAPJyrN2i/w320-h175/Captura%20de%20tela%202023-07-28%20210024.png" width="320" /></a></b></div><b><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj5MtUFWCpZ08Q50o4uvkszcd8GeBlWAxeq4WX_yD52yfNbZNyv8HNfEhOGYxlbZgqfBzvkktae_az2m2iITDieAmEPHUbzXpou0dVW1HFHXVvDQQ71mJaQlgJanblzU87KA-xLpxNwRkP0808M6zz_b0xTVlVq7f0TakTf14CNwaeLBQDqxpyPF4Rl/s387/Captura%20de%20tela%202023-07-28%20205843.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="105" data-original-width="387" height="79" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj5MtUFWCpZ08Q50o4uvkszcd8GeBlWAxeq4WX_yD52yfNbZNyv8HNfEhOGYxlbZgqfBzvkktae_az2m2iITDieAmEPHUbzXpou0dVW1HFHXVvDQQ71mJaQlgJanblzU87KA-xLpxNwRkP0808M6zz_b0xTVlVq7f0TakTf14CNwaeLBQDqxpyPF4Rl/w289-h79/Captura%20de%20tela%202023-07-28%20205843.png" width="289" /></a></div><br /><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"><br /></span></b><p></p><p class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm; mso-margin-top-alt: auto;"><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"><br /></span></b></p><p class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm; mso-margin-top-alt: auto;"><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;">Círculo</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"><o:p></o:p></span></p><p class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm; mso-margin-top-alt: auto;"><b></b></p><div class="separator" style="clear: both; text-align: center;"><b><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEja7HUMxyb2vemNqYWBVmLQrS0VsZKCCgGItWf0LI012dqEz5RizmUW12er20T2V0Jhlq6dvO5nswPMMOl2Y49DApcTElOHNXa3MtQje16WcVHbCKGDyGjxHE9b-npEn1EtQxEkAQNTuHn_5iptQQnREByRZY9xoOSjnUkAJQdVUYkYpOaDnOa4RxCO/s223/Captura%20de%20tela%202023-07-28%20210444.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="219" data-original-width="223" height="201" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEja7HUMxyb2vemNqYWBVmLQrS0VsZKCCgGItWf0LI012dqEz5RizmUW12er20T2V0Jhlq6dvO5nswPMMOl2Y49DApcTElOHNXa3MtQje16WcVHbCKGDyGjxHE9b-npEn1EtQxEkAQNTuHn_5iptQQnREByRZY9xoOSjnUkAJQdVUYkYpOaDnOa4RxCO/w205-h201/Captura%20de%20tela%202023-07-28%20210444.png" width="205" /></a></b></div><b><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjUPdOoDAalqQYDN-E_EqiTI91jAuiN66DMaFLEArbfMMwTi47_Ym2c8zbWiQnOJfX8qnYvtNfg2DASq7LCkhpyqMVOg2qgwEpAkn5CWtM9Xu-UEl4tjlyWwCoWG9hfDIXuGE-UVK8KJCDILWQA2JwMaH2D4xOWNyMvzbYtbxLFCLLuHxmhpqrhRzXg/s387/Captura%20de%20tela%202023-07-28%20210703.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="90" data-original-width="387" height="74" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjUPdOoDAalqQYDN-E_EqiTI91jAuiN66DMaFLEArbfMMwTi47_Ym2c8zbWiQnOJfX8qnYvtNfg2DASq7LCkhpyqMVOg2qgwEpAkn5CWtM9Xu-UEl4tjlyWwCoWG9hfDIXuGE-UVK8KJCDILWQA2JwMaH2D4xOWNyMvzbYtbxLFCLLuHxmhpqrhRzXg/s320/Captura%20de%20tela%202023-07-28%20210703.png" width="320" /></a></div><br /><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: PT-BR;"><br /></span></b><p></p></div><br /><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div></div><br />Vergniaudhttp://www.blogger.com/profile/17556154627187342081noreply@blogger.com0tag:blogger.com,1999:blog-8632209536522359737.post-5392575365183470702023-07-25T10:51:00.004-03:002023-07-28T21:12:07.398-03:00RESUMO DE ALGUMAS FÓRMULAS MATEMÁTICA<p><b>POTENCIAÇÃO</b></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiVlE1CZJOc36PZiWZoIDgdp1tbYcAUES-InCcNeE664gychdGIc-bhGacwRv0M6UCjuvWt5GcqnG4hncHwsrqxNCxZf2SJEeniAZWZ4dIvD3A9X2AVMya5JEGIVQ7u9-xYWPHfZZmSb380KDs5rxBtZ6ClkpYzGJsmV3pQrJwGr098JPsEVKJQM6xm/s389/Captura%20de%20tela%202023-07-25%20093301.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="389" data-original-width="219" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiVlE1CZJOc36PZiWZoIDgdp1tbYcAUES-InCcNeE664gychdGIc-bhGacwRv0M6UCjuvWt5GcqnG4hncHwsrqxNCxZf2SJEeniAZWZ4dIvD3A9X2AVMya5JEGIVQ7u9-xYWPHfZZmSb380KDs5rxBtZ6ClkpYzGJsmV3pQrJwGr098JPsEVKJQM6xm/w225-h400/Captura%20de%20tela%202023-07-25%20093301.png" width="225" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: left;"><b>PRODUTOS NOTÁVEIS</b></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiTkI41HocHHQKxoCn8PSDkcNgcEk3VNi8cRNgzyU_CJ6TmWgHHiIQqxhgPcfC2gcgq4IKeypJ1-fOUP1ujUm_R2N1K65oq79NOUaBAqgMXJUji3D4rMq505_IZ00g6uMXEixByHeoRLro70J9KcfWhFikE0wbWYkld3i60qvXsh3gtaEO-I0iihaSf/s357/Captura%20de%20tela%202023-07-25%20101018.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="272" data-original-width="357" height="305" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiTkI41HocHHQKxoCn8PSDkcNgcEk3VNi8cRNgzyU_CJ6TmWgHHiIQqxhgPcfC2gcgq4IKeypJ1-fOUP1ujUm_R2N1K65oq79NOUaBAqgMXJUji3D4rMq505_IZ00g6uMXEixByHeoRLro70J9KcfWhFikE0wbWYkld3i60qvXsh3gtaEO-I0iihaSf/w400-h305/Captura%20de%20tela%202023-07-25%20101018.png" width="400" /></a></div><div class="separator" style="clear: both; text-align: left;"><b>RADICIAÇÃO</b></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiMfml2mJprh503PsGOpkttBxKwqkZriKFoVKa00gfqcNS2LIccqprUdF8Vg7lkhEwX5Xzd9bZjAnkSQushDK9EWmyRFBRYhV_Os5DD4kE5PqAzf9AWkMLzpcspkwk91YgDVIwVnVK4otFBaTsZLr25NOCErgTCA_sBP4e37n6Nhd_VFzdcT6OxyFUM/s352/Captura%20de%20tela%202023-07-25%20103058.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="352" data-original-width="177" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiMfml2mJprh503PsGOpkttBxKwqkZriKFoVKa00gfqcNS2LIccqprUdF8Vg7lkhEwX5Xzd9bZjAnkSQushDK9EWmyRFBRYhV_Os5DD4kE5PqAzf9AWkMLzpcspkwk91YgDVIwVnVK4otFBaTsZLr25NOCErgTCA_sBP4e37n6Nhd_VFzdcT6OxyFUM/w201-h400/Captura%20de%20tela%202023-07-25%20103058.png" width="201" /></a></div><br /><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;"><b>EQUAÇÕES QUADRÁTICAS</b></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi4j51raXuZl1uJiMRlwM8ZJyYtz7R5LvokH_sh9Bdn17JRm8Yaaz6G3nQ0_apiQ18O6fNrXZB1gR0baDzG1M3uOV-Zid4DwRTBaQVoVwtXO-x5t_1Yv3n-KplXNbnr7N95Looyc07nAsIwOFuio2jWfMzV9ZkavJUhk-BhFg4lNelDPr6onqHbVUBH/s241/Captura%20de%20tela%202023-07-25%20101548.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="91" data-original-width="241" height="151" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi4j51raXuZl1uJiMRlwM8ZJyYtz7R5LvokH_sh9Bdn17JRm8Yaaz6G3nQ0_apiQ18O6fNrXZB1gR0baDzG1M3uOV-Zid4DwRTBaQVoVwtXO-x5t_1Yv3n-KplXNbnr7N95Looyc07nAsIwOFuio2jWfMzV9ZkavJUhk-BhFg4lNelDPr6onqHbVUBH/w400-h151/Captura%20de%20tela%202023-07-25%20101548.png" width="400" /></a></div><br /><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: left;"><br /></div><br /><div class="separator" style="clear: both; text-align: left;"><b>LOGARITMOS</b></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjxl4VbmhlJdu1ZEP91jtB2eyGRHHQBqzorMbm-6vFMgMe-qY7tiQSvmKXZ2NxXrSqMXf4lIWc2RpZFE_LQclVRdMKTapRMy7qnFJxfWZzXfVHZ9lpwye_uDhar9fM7grYiohsVyJHTNgKLqJGHLtPhEMRzHQ1MiUv-ke0B2LWwIFeRz1H8rst4ThgU/s531/Captura%20de%20tela%202023-07-25%20104532.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="531" data-original-width="264" height="476" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjxl4VbmhlJdu1ZEP91jtB2eyGRHHQBqzorMbm-6vFMgMe-qY7tiQSvmKXZ2NxXrSqMXf4lIWc2RpZFE_LQclVRdMKTapRMy7qnFJxfWZzXfVHZ9lpwye_uDhar9fM7grYiohsVyJHTNgKLqJGHLtPhEMRzHQ1MiUv-ke0B2LWwIFeRz1H8rst4ThgU/w237-h476/Captura%20de%20tela%202023-07-25%20104532.png" width="237" /></a></div><br /><div class="separator" style="clear: both; text-align: left;"><br /></div><br /><p><br /></p>Vergniaudhttp://www.blogger.com/profile/17556154627187342081noreply@blogger.com0tag:blogger.com,1999:blog-8632209536522359737.post-64470603005342707302023-06-10T08:24:00.006-03:002023-06-10T08:24:45.417-03:00FUNÇÃO: DOMÍNIO E IMAGEM<p> <span style="font-size: 12pt;">FUNÇÃO é uma
relação entre dois conjuntos A e B, não vazios, de forma que todo elemento de A
tem um elemento correspondente em B.</span></p><p><span style="font-size: 12pt;"></span></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgfTYYXBJAOKPhRMwF3D9zbbdH_tg-Wpa0oN_5kcwWBHNFF9A7W9fa0A8gKA5m9N7AjnUoE_2f4_DL7Tplk-36PMNeGqlpmIeV_iJfZy7ljgZf06bNMZvH7C37OW0VENk8AzWMLE1VS8A-C_FHVy1DX5eQtqws5Jjq2VJ-EgBg-gln-hwcg7MUfXA" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="187" data-original-width="477" height="125" src="https://blogger.googleusercontent.com/img/a/AVvXsEgfTYYXBJAOKPhRMwF3D9zbbdH_tg-Wpa0oN_5kcwWBHNFF9A7W9fa0A8gKA5m9N7AjnUoE_2f4_DL7Tplk-36PMNeGqlpmIeV_iJfZy7ljgZf06bNMZvH7C37OW0VENk8AzWMLE1VS8A-C_FHVy1DX5eQtqws5Jjq2VJ-EgBg-gln-hwcg7MUfXA" width="320" /></a></div><br /><p class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12.0pt; line-height: 115%;">DOMÍNIO E IMAGEM DE UMA FUNÇÃO<o:p></o:p></span></b></p>
<p class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm;"><span style="font-size: 12.0pt; line-height: 115%;">Os valores atribuídos a variável <b style="mso-bidi-font-weight: normal;">x</b><span style="mso-spacerun: yes;">
</span>é<span style="mso-spacerun: yes;"> </span>chamado de <b style="mso-bidi-font-weight: normal;">domínio da função</b> e é representado por <b style="mso-bidi-font-weight: normal;">D</b>. <b style="mso-bidi-font-weight: normal;"><o:p></o:p></b></span></p>
<p class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm;"><span style="font-size: 12.0pt; line-height: 115%;">Os valores encontrado de<span style="mso-spacerun: yes;"> </span><b style="mso-bidi-font-weight: normal;">y</b><span style="mso-spacerun: yes;"> </span>é<span style="mso-spacerun: yes;"> </span><b style="mso-bidi-font-weight: normal;">conjunto imagem<span style="mso-spacerun: yes;"> </span>da função</b> e é representado por <b style="mso-bidi-font-weight: normal;">Im</b>. <o:p></o:p></span></p>
<p class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm;"><span style="font-size: 12.0pt; line-height: 115%;">Exemplos:<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 12.0pt; line-height: 115%;">a) Dê o
domínio e imagem da função: <b style="mso-bidi-font-weight: normal;">f(x) = x + 3<o:p></o:p></b></span></p><p class="MsoNormal"><span style="font-size: 12.0pt; line-height: 115%;"><b style="mso-bidi-font-weight: normal;"></b></span></p><div class="separator" style="clear: both; text-align: center;"><b style="mso-bidi-font-weight: normal;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgHy1uNz8oeW7CWYtqhN1p9yhula_KqoEnx195SP1KWpNTF8OTZON9GBRzdQjgmxCkEzrjjyhSU2a24vlqEtaNi0GYATWTFxy0964FgdltXawz1k55VOmLWhYxWzfMmaVhjb6RuirxHOejecZgL_FhqBFZ-FMkGgWIrH-q-SBvGVd-hMSnJsEQYGw" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="108" data-original-width="343" height="101" src="https://blogger.googleusercontent.com/img/a/AVvXsEgHy1uNz8oeW7CWYtqhN1p9yhula_KqoEnx195SP1KWpNTF8OTZON9GBRzdQjgmxCkEzrjjyhSU2a24vlqEtaNi0GYATWTFxy0964FgdltXawz1k55VOmLWhYxWzfMmaVhjb6RuirxHOejecZgL_FhqBFZ-FMkGgWIrH-q-SBvGVd-hMSnJsEQYGw" width="320" /></a></b></div><b style="mso-bidi-font-weight: normal;"><br /><br /></b><p></p><p class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm;"><span style="font-size: 12.0pt; line-height: 115%;">x = { 0, 1, 2, 3 } conjunto domínio da função<o:p></o:p></span></p><span style="font-size: 12pt;"></span><p></p><p class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm;"><span style="font-size: 12.0pt; line-height: 115%;">y={3, 4, 5, 6 } conjunto imagem da
função<o:p></o:p></span></p><p class="MsoNormal"><span style="font-size: 12.0pt; line-height: 115%;">
</span></p><p class="MsoNormal"><span style="font-size: 12.0pt; line-height: 115%;">Representação
através do <b>diagrama de Venn</b> ( diagramas de flechas).<o:p></o:p></span></p><p class="MsoNormal"><span style="font-size: 12.0pt; line-height: 115%;"></span></p><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiT-TC42zqahN6idYMxF62jAL5K61SI8GH2xzUm4-g0gEsFvL6Tp4-sdlB-xYGYvTnMPtCZ7IG7AD-yh9DFhYa10bW_6kgyIPpiyahldx5cy04atxqWTFFxFcU2MXlncL-wATG3cwdsULZvLRAQXovlqhx3-jF-F-PAUF3Nid9RwzDU1X-FL0idAg" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="187" data-original-width="504" height="119" src="https://blogger.googleusercontent.com/img/a/AVvXsEiT-TC42zqahN6idYMxF62jAL5K61SI8GH2xzUm4-g0gEsFvL6Tp4-sdlB-xYGYvTnMPtCZ7IG7AD-yh9DFhYa10bW_6kgyIPpiyahldx5cy04atxqWTFFxFcU2MXlncL-wATG3cwdsULZvLRAQXovlqhx3-jF-F-PAUF3Nid9RwzDU1X-FL0idAg" width="320" /></a></div><br /><p class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12.0pt; line-height: 115%;">O conjunto A</span></b><span style="font-size: 12.0pt; line-height: 115%;">
de onde parte as flechas é o <b style="mso-bidi-font-weight: normal;">Conjunto Domínio
(D)</b><o:p></o:p></span></p>
<p class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 12.0pt; line-height: 115%;">O conjunto B</span></b><span style="font-size: 12.0pt; line-height: 115%;">
que recebe as flechas é o <b style="mso-bidi-font-weight: normal;">Conjunto Imagem
(Im)</b><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 12.0pt; line-height: 115%;">b) Dê o
domínio e imagem da função: <b style="mso-bidi-font-weight: normal;">f(x) = 2x +
1</b><o:p></o:p></span></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhBbuI7hlh76E4Pddw9uzFfjZci_NGSEu2IG2cLlrt1ZrG2pvh2X-py881U7AN2MpZABGhZS7MwKmwJluemJAbVqKwW9IpcbLppZvvMgXO6zLFpd7eQA8M1DveSKkBP_ggmk40TstaPkbx0Y8Xb3NE-FGNiKhxx9xMUFgvBwiBNXV6rA_tpRUhkog" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="177" data-original-width="474" height="119" src="https://blogger.googleusercontent.com/img/a/AVvXsEhBbuI7hlh76E4Pddw9uzFfjZci_NGSEu2IG2cLlrt1ZrG2pvh2X-py881U7AN2MpZABGhZS7MwKmwJluemJAbVqKwW9IpcbLppZvvMgXO6zLFpd7eQA8M1DveSKkBP_ggmk40TstaPkbx0Y8Xb3NE-FGNiKhxx9xMUFgvBwiBNXV6rA_tpRUhkog" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhZzrV4K2WKmUDSjIWR5g-MxSCe7Ow_nfFNep3YttYG0O2m75nWB1F519EDrTwIMUdzbsbknP8o4O2mjqEB3sqzXNR7bJCa8u_5Ap7BdV5CM69ItaXFEUGrhKriSs179WFDX11eO9xRIKQ0cvUfnmFRLDidSiR5LqVJ9q0p6O55AibSko0pcTdhtw" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="109" data-original-width="342" height="102" src="https://blogger.googleusercontent.com/img/a/AVvXsEhZzrV4K2WKmUDSjIWR5g-MxSCe7Ow_nfFNep3YttYG0O2m75nWB1F519EDrTwIMUdzbsbknP8o4O2mjqEB3sqzXNR7bJCa8u_5Ap7BdV5CM69ItaXFEUGrhKriSs179WFDX11eO9xRIKQ0cvUfnmFRLDidSiR5LqVJ9q0p6O55AibSko0pcTdhtw" width="320" /></a></div><div><br /></div><p class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm;"><b><span style="font-size: 12.0pt; line-height: 115%;">O conjunto A</span></b><span style="font-size: 12.0pt; line-height: 115%;">
de onde parte as flechas é o <b>Conjunto
Domínio (D).</b><o:p></o:p></span></p><p class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm;"><span style="font-size: 12.0pt; line-height: 115%;"></span></p><p class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0cm;"><b><span style="font-size: 12.0pt; line-height: 115%;">O conjunto B</span></b><span style="font-size: 12.0pt; line-height: 115%;">
que recebe as flechas é o <b>Conjunto
Imagem (Im).</b><o:p></o:p></span></p><br /><p></p>Vergniaudhttp://www.blogger.com/profile/17556154627187342081noreply@blogger.com0tag:blogger.com,1999:blog-8632209536522359737.post-30306331627304280972023-05-29T07:52:00.004-03:002023-05-29T07:52:31.885-03:00TIPOS DE MATRIZES<p> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhdNTCKLIrCDrPFm0zIp0usiitqjRFk9smNw343UBsuhwelzmPObtbCXeC5SRO42aBZMFuO6rGfL2mQrXFqFkLih_zQzpCFDbzCsugrRzE7ISKTGyJdVg4tWxAoUpjpXqBMhV5TfcXkD5IK2AGnl4z1VcCzCCyyjnME6UaEudm0YRwIIVT0900V3A" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="421" data-original-width="559" src="https://blogger.googleusercontent.com/img/a/AVvXsEhdNTCKLIrCDrPFm0zIp0usiitqjRFk9smNw343UBsuhwelzmPObtbCXeC5SRO42aBZMFuO6rGfL2mQrXFqFkLih_zQzpCFDbzCsugrRzE7ISKTGyJdVg4tWxAoUpjpXqBMhV5TfcXkD5IK2AGnl4z1VcCzCCyyjnME6UaEudm0YRwIIVT0900V3A=s16000" /></a></div><br /><p></p>Vergniaudhttp://www.blogger.com/profile/17556154627187342081noreply@blogger.com0tag:blogger.com,1999:blog-8632209536522359737.post-62052698477828441452023-05-26T10:54:00.005-03:002023-06-18T20:48:17.481-03:00SISTEMA DE EQUAÇÃO DO 1° GRAU E SEU GRÁFICO<p>1) Observe este gráfico, em que estão representadas duas retas:
Para que esse gráfico seja a representação geométrica do sistema: </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgYpExoWh5-pIo6JUgdM-OTT-VHKuXg5k3pVEaQ1vlx4ZyFIopE26GN93grlpGmacxJsoL_goD39WL_-WI68a3HtEQoVivx1JHlyA6ScSb3b6N1fFTlNfr59mVyXfnDCZ8xxroZx1xHTMEySqEIuONNNJAXanSoOkusP3XM94I4fo5WaCDstCGo5Q" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="48" data-original-width="93" height="103" src="https://blogger.googleusercontent.com/img/a/AVvXsEgYpExoWh5-pIo6JUgdM-OTT-VHKuXg5k3pVEaQ1vlx4ZyFIopE26GN93grlpGmacxJsoL_goD39WL_-WI68a3HtEQoVivx1JHlyA6ScSb3b6N1fFTlNfr59mVyXfnDCZ8xxroZx1xHTMEySqEIuONNNJAXanSoOkusP3XM94I4fo5WaCDstCGo5Q=w200-h103" width="200" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgLD19p-W_0wW-tjV7zT1aWBlgyr8bHAyHfQ8jNtcqa1GpqQ4cqMvBb7HwtJkFIdE_4jsbl-g6zvQR2IqbrryV3qDc2HRny4DbjtbL1Egjkf41EOSwmGsS0_cpDwpMuEmAPThPT87_ROgq7uRuDyBdE45DMN5lgiZXv6xMe7-c2-4H9Y2V03ACKvA" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="170" data-original-width="262" height="130" src="https://blogger.googleusercontent.com/img/a/AVvXsEgLD19p-W_0wW-tjV7zT1aWBlgyr8bHAyHfQ8jNtcqa1GpqQ4cqMvBb7HwtJkFIdE_4jsbl-g6zvQR2IqbrryV3qDc2HRny4DbjtbL1Egjkf41EOSwmGsS0_cpDwpMuEmAPThPT87_ROgq7uRuDyBdE45DMN5lgiZXv6xMe7-c2-4H9Y2V03ACKvA=w200-h130" width="200" /></a></div><br /><br /></div>os valores de a e b são:<p></p><p>(A) a = –1 e b = 8. </p><p> (B) a = 2 e b = 3. </p><p> (C) a = 3 e b = 2. </p><p> (D) a = 8 e b = –1. </p><p><br /></p><p>RESOLUÇÃO:</p><p>Observando o gráfico as retas se cruzam nos pontos (2, 3). </p><p>Sendo assim, as raízes desse sistema são 2 e 3.</p><p>Substituindo esses valores no sistema encontramos os valores de a e b.</p><p>1ª equação</p><p>x + 2y = a</p><p>2 + 2 . 3 = a</p><p>2 + 6 = a</p><p>8 = a</p><p>2ª equação</p><p>x - y = b</p><p>2 - 3 = b</p><p>-1 = b</p><p>Resposta: D</p><p><br /></p><p>2) Os sistemas de equações apresentam uma interpretação gráfica. Indique o gráfico que melhor representa o sistema a seguir: </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhoxj8nv_PCY3qGnYzIIrXioSHIKzvQ7eLbPqdmQC6Kxr0vn_rwjNTWP3laDlYCZFEm9gsiO-cYYCSvEtudjyifL6Or9sb33omT6cXrrEIL0RO-GANcTZmU1LJDWuQsvMgbw5vLnTmt_FUHrZCNPoL6W9JQ8K65g46DxQ5rz3dGCZwvJ7Pthh_ysg" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="50" data-original-width="82" height="122" src="https://blogger.googleusercontent.com/img/a/AVvXsEhoxj8nv_PCY3qGnYzIIrXioSHIKzvQ7eLbPqdmQC6Kxr0vn_rwjNTWP3laDlYCZFEm9gsiO-cYYCSvEtudjyifL6Or9sb33omT6cXrrEIL0RO-GANcTZmU1LJDWuQsvMgbw5vLnTmt_FUHrZCNPoL6W9JQ8K65g46DxQ5rz3dGCZwvJ7Pthh_ysg=w200-h122" width="200" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgMDdUdBm5x6wOAWFvSZSdyJiuGCQIZkpkeQKBm0ik_x-Ql0eLW8q55hElbXbpwf1PuT5yqFQbZ5_b4PSDuc7S71TkUjDnmz9LSh_pDaXgW4hmYZ1i_opwgWxqp1sjrENX0sv-e5Xhe0cuJQfG4u_57xb5UMB0CsrzAx6YPsDLEUFKyynIUkMCeWQ" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="442" data-original-width="496" height="265" src="https://blogger.googleusercontent.com/img/a/AVvXsEgMDdUdBm5x6wOAWFvSZSdyJiuGCQIZkpkeQKBm0ik_x-Ql0eLW8q55hElbXbpwf1PuT5yqFQbZ5_b4PSDuc7S71TkUjDnmz9LSh_pDaXgW4hmYZ1i_opwgWxqp1sjrENX0sv-e5Xhe0cuJQfG4u_57xb5UMB0CsrzAx6YPsDLEUFKyynIUkMCeWQ=w297-h265" width="297" /></a></div><br /><div style="text-align: left;">Resolvendo: Usando a adição </div><div style="text-align: left;"><br /></div></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiAoXSItLAYjyvFWNd6Rq_-xNCGNp5g3-y78Hbidy_E2S8V02dPddFippT0DiuhbvMYspVMVV6r5JtPVrQZmyLqqNNFGQdil114srRFRZnlcBVmrl2EauBfB-mFAjO9CuLXkw6X7_B_neV3KxdZf7hGENtXynXprclRKNSa1wiBsYYUjdHuFKWi-Q" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="63" data-original-width="84" height="150" src="https://blogger.googleusercontent.com/img/a/AVvXsEiAoXSItLAYjyvFWNd6Rq_-xNCGNp5g3-y78Hbidy_E2S8V02dPddFippT0DiuhbvMYspVMVV6r5JtPVrQZmyLqqNNFGQdil114srRFRZnlcBVmrl2EauBfB-mFAjO9CuLXkw6X7_B_neV3KxdZf7hGENtXynXprclRKNSa1wiBsYYUjdHuFKWi-Q=w200-h150" width="200" /></a></div>dividindo ambos termos por 2<p></p><p>x = 1 <span face="Calibri, "sans-serif"" style="font-size: 11pt;">substituindo
</span><span face="Calibri, "sans-serif"" style="font-size: 11pt;"> </span><span face="Calibri, "sans-serif"" style="font-size: 11pt;">em uma das equações</span></p><p class="MsoNormal">x + y = 2<o:p></o:p></p><p class="MsoNormal">1 + y = 2<o:p></o:p></p><p class="MsoNormal">y = 2 – 1<o:p></o:p></p><p class="MsoNormal"> y =
1 solução: ( 1 , 1)</p><p class="MsoNormal">Através das raízes já sabemos onde as retas vão se cruzarem.</p><p class="MsoNormal">x + y = 2 zerando y, x é igual 2. E zerando x y é igual a 2.</p><p class="MsoNormal">Sendo assim as retas passam pelo ponto 2 de x e 2 de y no plano cartesiano.</p><p class="MsoNormal">Resposta: B</p><p class="MsoNormal"><br /></p><p class="MsoNormal">3) Observe o gráfico a seguir:
Esse gráfico é a solução (representação geométrica) do sistema:</p><p>
</p><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiIJy5nfvTV-TjzHEdnNWd7YukbO8wV68k1KeuXy37AmV7GBms6zPkI2YmAzDlcS2_tC8SvOfQ1_qhuzNrBTW6CBZ_gXYAlFImA9CjuXwP-PAFjE2x8S0lHRp5lMgodmrVStiALBmKFForae0IkJ69uRQMN2dYTsIQg9fLcEGXzvIZLWsCimt6swQ" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="175" data-original-width="214" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEiIJy5nfvTV-TjzHEdnNWd7YukbO8wV68k1KeuXy37AmV7GBms6zPkI2YmAzDlcS2_tC8SvOfQ1_qhuzNrBTW6CBZ_gXYAlFImA9CjuXwP-PAFjE2x8S0lHRp5lMgodmrVStiALBmKFForae0IkJ69uRQMN2dYTsIQg9fLcEGXzvIZLWsCimt6swQ" width="293" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgguXLJ1L0jkBWNLOVlzx09uE5DLhdYcORZq1SfBvjYrdDuoCCNZ3M80_IAQ6EjBID_IYKls5koIet8qi93rSg-HPWDdz-Psz_JVeEZxKOMrGZFENBltqDeR89A8ITMWkhOzsM7TuXcvpLbrluyY4X6gK_rTAzy2RuyXP2Ntx5AKeOmI8byjbloCw" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="204" data-original-width="139" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEgguXLJ1L0jkBWNLOVlzx09uE5DLhdYcORZq1SfBvjYrdDuoCCNZ3M80_IAQ6EjBID_IYKls5koIet8qi93rSg-HPWDdz-Psz_JVeEZxKOMrGZFENBltqDeR89A8ITMWkhOzsM7TuXcvpLbrluyY4X6gK_rTAzy2RuyXP2Ntx5AKeOmI8byjbloCw" width="164" /></a></div><br />Resolvendo:<p></p><p>Observe que a retas cruza nos pontos 3 e 4</p><p>x=3</p><p>y=4</p><p>Uma maneira é resolver cada sistema para encontrar essas raízes, porém, vai levar muito tempo. Outra maneira é substitui esses valores em cada sistema.</p><p>Vamos substitui as raízes dada em cada sistema para encontrar a resposta.</p><p>A) </p><p>x + y = 12</p><p>3 + 4 = 12</p><p> 7 = 12 não é solução, a letra A esta descartada </p><p>B) </p><p>x + y = 7</p><p>3 + 4 = 7</p><p> 7 = 7 pode ser a letra B, vamos testar na segunda equação.</p><p>2x + 4y = 22</p><p>2.3 + 4.4 = 22</p><p>6 + 16 = 22</p><p> 22 = 22 é solução.</p><p>C) </p><p>x + y = 7</p><p>3 + 4 = 7</p><p> 7 = 7 pode ser a letra C, vamos testar na segunda equação.</p><p>2x - y = - 1</p><p>2.3 - 4 = -1</p><p>6 - 4 = -1</p><p> 2 = - 1 não é solução, a letra B esta descartada.</p><p>D)</p><p>x + 2y = 5</p><p>3 + 2 . 4 = 5</p><p>3 + 8 = 5</p><p>11 = 5 não é solução, a letra D esta descartada.</p><p>Resposta letra B</p><p>4) Observe o sistema de equação do 1° grau e responda:</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEh4oGAGAwMHxBG45i--YLJkF18LIogvb0mJq5oTqtXx9wdVSiWY31vksMvOL-cfyoYqdJzgVjIX3TrHQtTzyapC_g_V4k3YuaTi7u_N4ViY9VveGJ1qnxEeN_Xk91K4PVs3pFW5tRH-xPH9mf4pDhZyhqLMay_BNIfXdTG87bDc3WJ8KbXPfQLksw" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="41" data-original-width="86" height="96" src="https://blogger.googleusercontent.com/img/a/AVvXsEh4oGAGAwMHxBG45i--YLJkF18LIogvb0mJq5oTqtXx9wdVSiWY31vksMvOL-cfyoYqdJzgVjIX3TrHQtTzyapC_g_V4k3YuaTi7u_N4ViY9VveGJ1qnxEeN_Xk91K4PVs3pFW5tRH-xPH9mf4pDhZyhqLMay_BNIfXdTG87bDc3WJ8KbXPfQLksw=w200-h96" width="200" /></a></div><div class="separator" style="clear: both; text-align: left;">Qual é o gráfico que representa o sistema?</div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEik55fPg-Q60h0W77PnOXM5zrwCCK2nH1yN6L6qar5E7FjY5quxorjrq82za4--stLiivFdRCQNheoiKY__ZhAESXg7igROi1IfV_OpMPp1U6tYXdegOVY6xn9sRRQ1eVzyMpMEMadyoFiyHN_DJ2OF0QsFO-E-Vt8gEzEqVAIN5Mt6TUVAO4TjTw" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="468" data-original-width="498" src="https://blogger.googleusercontent.com/img/a/AVvXsEik55fPg-Q60h0W77PnOXM5zrwCCK2nH1yN6L6qar5E7FjY5quxorjrq82za4--stLiivFdRCQNheoiKY__ZhAESXg7igROi1IfV_OpMPp1U6tYXdegOVY6xn9sRRQ1eVzyMpMEMadyoFiyHN_DJ2OF0QsFO-E-Vt8gEzEqVAIN5Mt6TUVAO4TjTw=s16000" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: left;">Resolvendo:</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">Na 1ª equação:</div><div class="separator" style="clear: both; text-align: left;">y = -x + 6</div><div class="separator" style="clear: both; text-align: left;">Quando </div><div class="separator" style="clear: both; text-align: left;">y= 0 x = 6</div><div class="separator" style="clear: both; text-align: left;">x = 0 y = 6</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">Na primeira equação a reta passa pelos pontos (6, 6)</div><p></p><div class="separator" style="clear: both;">Na 2ª equação:</div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;">y = x - 2</div><div class="separator" style="clear: both;">Quando </div><div class="separator" style="clear: both;">y= 0 x = 2</div><div class="separator" style="clear: both;">x = 0 y = -2</div></div><p>Na segunda equação a reta passa pelos pontos (2, -2)</p><p>Encontrando as raízes usando a comparação </p><p><a href="https://blogger.googleusercontent.com/img/a/AVvXsEh4oGAGAwMHxBG45i--YLJkF18LIogvb0mJq5oTqtXx9wdVSiWY31vksMvOL-cfyoYqdJzgVjIX3TrHQtTzyapC_g_V4k3YuaTi7u_N4ViY9VveGJ1qnxEeN_Xk91K4PVs3pFW5tRH-xPH9mf4pDhZyhqLMay_BNIfXdTG87bDc3WJ8KbXPfQLksw" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img alt="" data-original-height="41" data-original-width="86" height="65" src="https://blogger.googleusercontent.com/img/a/AVvXsEh4oGAGAwMHxBG45i--YLJkF18LIogvb0mJq5oTqtXx9wdVSiWY31vksMvOL-cfyoYqdJzgVjIX3TrHQtTzyapC_g_V4k3YuaTi7u_N4ViY9VveGJ1qnxEeN_Xk91K4PVs3pFW5tRH-xPH9mf4pDhZyhqLMay_BNIfXdTG87bDc3WJ8KbXPfQLksw=w138-h65" width="138" /></a><br /><br /></p><p> -x + 6 = x - 2</p><p>-x - x = - 2 - 6</p><p>-2x = - 8 dividindo ambos termos por - 2</p><p>x = 4 </p><p>Substituindo na 2ª equação</p><p>y = x - 2</p><p>y = 4 - 2</p><p>y = 2</p><p>Solução (4, 2 ) os pontos onde as retas se encontram.</p><p>Resposta letra B</p>Vergniaudhttp://www.blogger.com/profile/17556154627187342081noreply@blogger.com0tag:blogger.com,1999:blog-8632209536522359737.post-62421561230653274512023-05-23T09:14:00.000-03:002023-05-23T09:14:07.992-03:00SISTEMA DE EQUAÇÃO DO 2° GRAU<p> <b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt;">1) Resolver
os seguintes sistemas de equações nas incógnitas x e y.</span></b></p><p><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt;"></span></b></p><div class="separator" style="clear: both; text-align: center;"><b><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjeqcDqDCEQdmjoa_q3YY-2HAICOvriNHbW51RKJPvbw8SFVzOBfeG8HRxiT21A355P-42QHd3JeoBFQhsDd3Ivy0ZtlzGO2EdVibTjpIstMYKi6g614dGG62LLZJdbusw-vaJmo9iaKIAL7RxFqMvs4GhKfgkvnLfKI90ZF8VucB79bW1p0XblPQ" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="55" data-original-width="140" height="79" src="https://blogger.googleusercontent.com/img/a/AVvXsEjeqcDqDCEQdmjoa_q3YY-2HAICOvriNHbW51RKJPvbw8SFVzOBfeG8HRxiT21A355P-42QHd3JeoBFQhsDd3Ivy0ZtlzGO2EdVibTjpIstMYKi6g614dGG62LLZJdbusw-vaJmo9iaKIAL7RxFqMvs4GhKfgkvnLfKI90ZF8VucB79bW1p0XblPQ=w200-h79" width="200" /></a></b></div><b><br />Como x já esta isolando na primeira equação: x=2y, vamos substituir na segunda equação.</b><p></p><p><b><span style="font-family: "Calibri","sans-serif"; font-size: 14.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-font-size: 12.0pt; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;">x +
y<sup>2</sup> = 35 </span></b></p><p><b><span style="font-family: "Calibri","sans-serif"; font-size: 14.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-font-size: 12.0pt; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;">2y +
y<sup>2</sup> = 35 </span></b></p><p><b><span style="font-family: "Calibri","sans-serif"; font-size: 14.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-font-size: 12.0pt; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;">organizando e resolvendo a equação do 2° grau</span></b></p><p><b><span style="font-family: Calibri, "sans-serif"; font-size: 14pt; line-height: 21.4667px;"> y<sup>2</sup> + 2y </span></b><b><span style="font-family: Calibri, "sans-serif"; font-size: 14pt; line-height: 21.4667px;">–</span></b><b><span style="font-family: Calibri, "sans-serif"; font-size: 14pt; line-height: 21.4667px;"> 35= 0</span></b></p><p><b><span style="font-family: Calibri, "sans-serif"; font-size: 14pt; line-height: 21.4667px;">a= 1 b= 2 c = </span></b><b><span style="font-family: Calibri, "sans-serif"; font-size: 14pt; line-height: 21.4667px;">–</span></b><b><span style="font-family: Calibri, "sans-serif"; font-size: 14pt; line-height: 21.4667px;"> 35</span></b></p><p><b><span style="font-family: Calibri, "sans-serif"; font-size: 14pt; line-height: 21.4667px;"></span></b></p><div class="separator" style="clear: both; text-align: center;"><b><a href="https://blogger.googleusercontent.com/img/a/AVvXsEj1YJHQC1xQnTxgDOb2CaYZ9WBSbvNZ0WM5CwYA1REAk3FyqxDV26E0WSXr27X3evYQ4kZFvysNXmCVzSwW3vb0hPc-Y7MX4hXH5-xNoYZZdBrhoZ0WK6UTKfMSDlPfTmDRbopuri7_dffKnlz-qI9EZ3eUbVrNDFW0wXANFumsoIX15Iubqb0sgw" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="357" data-original-width="245" height="400" src="https://blogger.googleusercontent.com/img/a/AVvXsEj1YJHQC1xQnTxgDOb2CaYZ9WBSbvNZ0WM5CwYA1REAk3FyqxDV26E0WSXr27X3evYQ4kZFvysNXmCVzSwW3vb0hPc-Y7MX4hXH5-xNoYZZdBrhoZ0WK6UTKfMSDlPfTmDRbopuri7_dffKnlz-qI9EZ3eUbVrNDFW0wXANFumsoIX15Iubqb0sgw=w275-h400" width="275" /></a></b></div><p></p><p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Quando y é 5, x vai ser</span></b></p><p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> x= 2y </span></b></p><p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">x= 2. 5 </span></b></p><p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">x= 10</span></b></p><p class="MsoNormal"><b style="text-align: center;"><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Quando y é – 7, x vai ser,</span></b></p><p class="MsoNormal"><b style="text-align: center;"><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">x= 2y </span></b></p><p class="MsoNormal"><b style="text-align: center;"><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">x= 2 . (– 7) </span></b></p><p class="MsoNormal"><b style="text-align: center;"><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">x
= –14 </span></b></p><p class="MsoNormal"><b style="text-align: center;"><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">S = (
10, 5); (–14, – 7)</span></b></p><p><b><span style="font-family: Calibri, "sans-serif"; font-size: 14pt; line-height: 21.4667px;"><br /><br /></span></b></p><p><b><span style="font-family: Calibri, "sans-serif"; font-size: 14pt; line-height: 21.4667px;"></span></b></p><div class="separator" style="clear: both; text-align: center;"><b><a href="https://blogger.googleusercontent.com/img/a/AVvXsEj6cOEObSZaiTu3r8C_CtL9wlMc0fcXQfAsAjiF49zZ0yGFPtkZmsmjNvuIMTwy7QJIqXnVFA57ZwBnBjYV4zOAN1VNDOUBhYa5RMPWh3h44VWicqwchlr_c_DyXfgCSJuZS9yTi8v0jmgbAQnT4Swb-IAvPH-eWj5ghIgnX5Z4qgc8hEWzH8_xsg" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="50" data-original-width="116" height="86" src="https://blogger.googleusercontent.com/img/a/AVvXsEj6cOEObSZaiTu3r8C_CtL9wlMc0fcXQfAsAjiF49zZ0yGFPtkZmsmjNvuIMTwy7QJIqXnVFA57ZwBnBjYV4zOAN1VNDOUBhYa5RMPWh3h44VWicqwchlr_c_DyXfgCSJuZS9yTi8v0jmgbAQnT4Swb-IAvPH-eWj5ghIgnX5Z4qgc8hEWzH8_xsg=w200-h86" width="200" /></a></b></div><b>Isolando y na primeira equação e substituindo na segunda.<br />y = 9 - x</b><p></p><p><b><span style="font-family: Calibri, "sans-serif"; font-size: 14pt; line-height: 21.4667px;">xy = 14</span></b></p><p><b><span style="font-family: Calibri, "sans-serif"; font-size: 14pt; line-height: 21.4667px;">x(9 - x) = 14</span></b></p><p><b><span style="font-family: "Calibri","sans-serif"; font-size: 14.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-font-size: 12.0pt; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;">9x –
x<sup>2</sup> = 14 organizando e igualando a zero </span></b><b><span style="font-family: "Calibri","sans-serif"; font-size: 14.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-font-size: 12.0pt; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;"> –
x<sup>2</sup> + 9x </span></b><b><span style="font-family: Calibri, "sans-serif"; font-size: 14pt; line-height: 21.4667px;">–</span></b><b><span style="font-family: "Calibri","sans-serif"; font-size: 14.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-font-size: 12.0pt; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;"> 14 = 0 </span></b></p><p><b><span style="font-family: Calibri, "sans-serif"; font-size: 14pt; line-height: 21.4667px;">– x<sup>2</sup> + 9x </span></b><b><span style="font-family: Calibri, "sans-serif"; font-size: 14pt; line-height: 21.4667px;">–</span></b><b><span style="font-family: Calibri, "sans-serif"; font-size: 14pt; line-height: 21.4667px;"> 14 = 0 para mudar o sinal de a, multiplico por ( -1)</span></b></p><p><b><span style="font-family: Calibri, "sans-serif"; font-size: 14pt; line-height: 21.4667px;">x<sup>2</sup> </span></b><b><span style="font-family: Calibri, "sans-serif"; font-size: 14pt; line-height: 21.4667px;">–</span></b><b><span style="font-family: Calibri, "sans-serif"; font-size: 14pt; line-height: 21.4667px;"> 9x +</span></b><b><span style="font-family: Calibri, "sans-serif"; font-size: 14pt; line-height: 21.4667px;"> 14 = 0 </span></b></p><p><b><span style="font-family: Calibri, "sans-serif"; font-size: 14pt; line-height: 21.4667px;">a = 1 b= </span></b><b><span style="font-family: Calibri, "sans-serif"; font-size: 14pt; line-height: 21.4667px;">– 9 c= 14</span></b></p><p><span style="line-height: 21.4667px;"></span></p><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; font-family: Calibri, "sans-serif"; font-size: 14pt; font-weight: bold; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhv58I9agf-nJIG8B6eXg425RioCeW3iJtDGLEuP7nBocrwOIh1_y4UTgz3RT6ToehnDyJIX13w__wQNDYjzk7VvFlCo2hsa9dZM6E7Or0tJHh-siXIic1ZNip_qLQXfq-2Waue9aGY8kuHfWLxO7NlONOZVnKD0SNGQykUFYx1zR2-_9XYIclVTQ" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="355" data-original-width="200" height="400" src="https://blogger.googleusercontent.com/img/a/AVvXsEhv58I9agf-nJIG8B6eXg425RioCeW3iJtDGLEuP7nBocrwOIh1_y4UTgz3RT6ToehnDyJIX13w__wQNDYjzk7VvFlCo2hsa9dZM6E7Or0tJHh-siXIic1ZNip_qLQXfq-2Waue9aGY8kuHfWLxO7NlONOZVnKD0SNGQykUFYx1zR2-_9XYIclVTQ=w225-h400" width="225" /></a></div></div></div></div><p></p><p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Quando x é 7, y é; <o:p></o:p></span></b></p><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><div style="text-align: left;">
<p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> y= 9 – x <o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">y= 9 – 7 <o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">y= 2<o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Quando x é 2 y é; <o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">y= 9 – 2 <o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">y = 7 <o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">S = ( 7, 2); ( 2, 7)<o:p></o:p></span></b></p><p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"><br /></span></b></p><p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"></span></b></p><div class="separator" style="clear: both; text-align: center;"><b><a href="https://blogger.googleusercontent.com/img/a/AVvXsEh-Z5D2oeQqIJQh8INl1NMkNb0MWifGuOe1d59gTBjX5jCzSLm1zFJoOHYHmYGoj-H5Gt2MLZz2RbJN8L17XD5oUGmKevKdfXnOo7md0VR-trzIivSTmFRm3QD8o0nZrR3teckQMOt_RKFlAyDy9cwQKBPGQsPyenLBGzP0H7MuEJSCwtkTSKFoag" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="52" data-original-width="151" height="69" src="https://blogger.googleusercontent.com/img/a/AVvXsEh-Z5D2oeQqIJQh8INl1NMkNb0MWifGuOe1d59gTBjX5jCzSLm1zFJoOHYHmYGoj-H5Gt2MLZz2RbJN8L17XD5oUGmKevKdfXnOo7md0VR-trzIivSTmFRm3QD8o0nZrR3teckQMOt_RKFlAyDy9cwQKBPGQsPyenLBGzP0H7MuEJSCwtkTSKFoag=w200-h69" width="200" /></a></b></div><b><br />Como x esta insolado na primeira equação: </b><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">x = 5 - 2y</span></b><p></p><p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">y<sup>2</sup> – 7 = –
3(5 - 2y)</span></b></p><p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> <o:p></o:p></span></b><b><span style="font-size: 14pt; line-height: 21.4667px;">y<sup>2</sup> – 7 = </span></b><b><span style="font-size: 14pt; line-height: 21.4667px;">– </span></b><b><span style="font-size: 14pt; line-height: 21.4667px;">15 + 6y organizando</span></b></p><p class="MsoNormal"><b><span style="font-size: 14pt; line-height: 21.4667px;">y<sup>2</sup> – 6y </span></b><b><span style="font-size: 14pt; line-height: 21.4667px;">–</span></b><b><span style="font-size: 14pt; line-height: 21.4667px;"> 7 +</span></b><b><span style="font-size: 14pt; line-height: 21.4667px;"> 15 =0 </span></b><b><span style="font-size: 14pt; line-height: 21.4667px;">y<sup>2</sup> – 6y </span></b><b><span style="font-size: 14pt; line-height: 21.4667px;"> + 8</span></b><b><span style="font-size: 14pt; line-height: 21.4667px;"> =0 </span></b><b><span style="font-size: 14pt; line-height: 21.4667px;"> a= 1 b = </span></b><b><span style="font-size: 14pt; line-height: 21.4667px;">– 6 c = 8</span></b></p><p class="MsoNormal"><b><span style="font-size: 14pt; line-height: 21.4667px;"></span></b></p><div class="separator" style="clear: both; text-align: center;"><b><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgYFjY3VoNpA14oEdJMqrmjSQR3yMpGr5ddq2QWeCk0mv-e2G-G7p-XvobvCSCTDQ7BDCD0EREAQHaralmHXOhj89fBg33sdVn5Oc5RMPHhGTA1TlwHrKoFiH7BHhhzvvu8TpVw39ihhA2S1K5NoHZZPODKZKGx-buxeLWd_Q0QLO-asLvuZrwPUA" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="359" data-original-width="210" height="400" src="https://blogger.googleusercontent.com/img/a/AVvXsEgYFjY3VoNpA14oEdJMqrmjSQR3yMpGr5ddq2QWeCk0mv-e2G-G7p-XvobvCSCTDQ7BDCD0EREAQHaralmHXOhj89fBg33sdVn5Oc5RMPHhGTA1TlwHrKoFiH7BHhhzvvu8TpVw39ihhA2S1K5NoHZZPODKZKGx-buxeLWd_Q0QLO-asLvuZrwPUA=w234-h400" width="234" /></a></b></div><p></p><p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Quando y é 4 x vai ser,
<o:p></o:p></span></b></p><div class="separator" style="clear: both;">
<p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> x= 5 – 2y <o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">x= 5 – 2.4 <o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">x = 5 – 8 <o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">x = - 3<o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Quando y é 2 x vai ser; <o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> x= 5 – 2y <o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> x= 5 – 2.2
<o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> x = 1 <o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> S = ( 1, 2); ( -3, 4)<o:p></o:p></span></b></p></div><p class="MsoNormal"><b><span style="font-size: 14pt; line-height: 21.4667px;"></span></b></p><div class="separator" style="clear: both; text-align: center;"><b><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhdFiAkVjnJjTTEPUh0xb5okKw88AaqJRYC5V2Hdj3qEfaSsJtRENUzr_Faz4s70OobeYrA9xIhJRCKoz2RUgnQ73bcLSWCIWkOzQ42w481m1f9CD3CzXsoC8xdFy3UZvhE6t1j6SvTLmWW1_lpt4JMntnZX1U1Yng_tDnOBo1Cg6nHE25GDDawOA" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="51" data-original-width="147" height="69" src="https://blogger.googleusercontent.com/img/a/AVvXsEhdFiAkVjnJjTTEPUh0xb5okKw88AaqJRYC5V2Hdj3qEfaSsJtRENUzr_Faz4s70OobeYrA9xIhJRCKoz2RUgnQ73bcLSWCIWkOzQ42w481m1f9CD3CzXsoC8xdFy3UZvhE6t1j6SvTLmWW1_lpt4JMntnZX1U1Yng_tDnOBo1Cg6nHE25GDDawOA=w200-h69" width="200" /></a></b></div><b><br /><br /> Insolando y na primeira equação: </b><b><span style="font-family: "Calibri","sans-serif"; font-size: 14.0pt; line-height: 115%; mso-ansi-language: PT-BR; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-font-size: 12.0pt; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;">y =
4 – x, e substituindo na segunda.</span></b><p></p><p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">x<sup>2</sup> – xy = 6<o:p></o:p></span></b></p><p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">x<sup>2</sup> – x(4 </span></b><b><span style="font-size: 14pt; line-height: 21.4667px;">–</span></b><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> x) = 6 </span></b><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">x<sup>2</sup> – 4x + x<sup>2</sup>
= 6 igualando a zero</span></b></p><p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">2x<sup>2</sup> – 4x </span></b><b><span style="font-size: 14pt; line-height: 21.4667px;">–</span></b><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> 6 = 0 dividindo tudo por 2<o:p></o:p></span></b></p><p class="MsoNormal"><b><span style="font-size: 14pt; line-height: 21.4667px;">x<sup>2</sup> – 2x </span></b><b><span style="font-size: 14pt; line-height: 21.4667px;">–</span></b><b><span style="font-size: 14pt; line-height: 21.4667px;"> 3 = 0 a = 1 b = </span></b><b><span style="font-size: 14pt; line-height: 21.4667px;"> – 2 c = </span></b><b><span style="font-size: 14pt; line-height: 21.4667px;">– 3</span></b></p><p class="MsoNormal"><b><span style="font-size: 14pt; line-height: 21.4667px;"></span></b></p><div class="separator" style="clear: both; text-align: center;"><b><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhUbSkRcQDydxA7_OsTsC1mygCdNDJ55Fixr_ZuzuWxIuJZBNX9RpPmklHVgAwK2bi_sWomexVFdZI1U6heJ0l0EsnUSL66rj3NW5CcqV_C16YcIVWk0AFaBGoXhUx_SEhGMGkRTrphzk9TE4NPLgybERYn967MHYdn2WD3Z3iS_PTNGcKt-x7a3Q" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="453" data-original-width="177" src="https://blogger.googleusercontent.com/img/a/AVvXsEhUbSkRcQDydxA7_OsTsC1mygCdNDJ55Fixr_ZuzuWxIuJZBNX9RpPmklHVgAwK2bi_sWomexVFdZI1U6heJ0l0EsnUSL66rj3NW5CcqV_C16YcIVWk0AFaBGoXhUx_SEhGMGkRTrphzk9TE4NPLgybERYn967MHYdn2WD3Z3iS_PTNGcKt-x7a3Q=s16000" /></a></b></div><p></p><p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Quando x é 3, y vai
ser; <o:p></o:p></span></b></p><div class="separator" style="clear: both;">
<p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">y = 4 – x <o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> y = 4 – 3 <o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> y= 1
<o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Quando x é –1, y vai
ser;<o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">y = 4 – ( –1) <o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> y= 5 <o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span style="font-size: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> S = ( 3, 1); (–1, 5)<o:p></o:p></span></b></p></div><p class="MsoNormal"><b><span style="font-size: 14pt; line-height: 21.4667px;"><br /></span></b></p></div></div></div></div><p><span style="line-height: 21.4667px;"><br /></span></p>Vergniaudhttp://www.blogger.com/profile/17556154627187342081noreply@blogger.com0tag:blogger.com,1999:blog-8632209536522359737.post-37046697427758835042023-05-01T09:01:00.001-03:002023-05-01T09:01:24.847-03:00FATORIAL<p>É comum aparecer produtos de fatores naturais sucessivos em problemas de análise combinatória.</p><p>3! = 3 . 2. 1 ( Lê-se três fatorial ou fatorial de três).</p><p>5! = 5 . 4 . 3 . 2 . 1 . ( Lê-se cinco fatorial ou fatorial de cinco).</p><p>Considerando um número n, sendo n pertence ao naturais e n é maior ou igual a 2, temos:</p><p></p><p class="MsoNormal"><b style="mso-bidi-font-weight: normal;">n! = n . ( n – 1 ) .
( n – 2 ) .<span style="mso-spacerun: yes;"> </span>... . 1<o:p></o:p></b></p>Sendo que 0! = 1 e 1! = 1.<p></p><p>Exemplos:</p><p>a) 2! = 2 . 1 = 2</p><p>b) 3! = 3 . 2 . 1 = 6</p><p>c) 4! = 4 . 3 . 2 . 1 = 24</p><p>d) 5! = 5 . 4 . 3 . 2 . 1 = 120</p><p>1) De quantas maneiras podemos organizar 7 alunos em uma fila?</p><p>7! = 7 . 6 . 5 . 4 . 3 . 2 . 1 = 5040 maneiras</p><p>2) Simplifique as expressões:</p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgr2I7vIBbavZT9QNZsGQ_Z1soluAMm_RgLtEK2Ub3FGb9fxCY1Sr0j0W5VhJUTQJTowz5NMJSm4Vxb36rE8opzwGSABQO9vLY6jM76bsYD4zGtwc9KxdDnnwjDUrhxYSpsQucbpAgC6VxSioeLRbq-baEqEUVhqYlwbipXWZ_JUabEQcsWbTPEWA/s365/7_REC.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="322" data-original-width="365" height="282" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgr2I7vIBbavZT9QNZsGQ_Z1soluAMm_RgLtEK2Ub3FGb9fxCY1Sr0j0W5VhJUTQJTowz5NMJSm4Vxb36rE8opzwGSABQO9vLY6jM76bsYD4zGtwc9KxdDnnwjDUrhxYSpsQucbpAgC6VxSioeLRbq-baEqEUVhqYlwbipXWZ_JUabEQcsWbTPEWA/s320/7_REC.png" width="320" /></a></div><br /><p><br /></p>Vergniaudhttp://www.blogger.com/profile/17556154627187342081noreply@blogger.com0tag:blogger.com,1999:blog-8632209536522359737.post-64841631902387854352023-04-24T12:06:00.005-03:002023-04-24T12:06:51.943-03:00MATRIZES<p> Matriz é uma tabela de números formada por m linhas e n colunas. (m x n lê-se m por n), sendo ≥ 1 e n ≥ 1.</p><p>Os elementos da matriz pode ser entre parênteses ou entre colchetes.</p><p>Exemplos:</p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhAaxbbGpUo9Lmkf9MsW_Ue_Qu4To37nW9zCh2ebgCaR-s5AokL7MiU1AdL7ngAMY0fLg5UnwE5DtiwSjQqm-sTYYfSie40jQIeXB6RVAXpL-n2-lH1ooXv898KJnhBiLI0r17sVqMlleQRpp7RsBOJRSfw-dJER46X9tv53mSmYxCAcaEtxsN04A/s169/24.04.2023_11.06.26_REC.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="150" data-original-width="169" height="284" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhAaxbbGpUo9Lmkf9MsW_Ue_Qu4To37nW9zCh2ebgCaR-s5AokL7MiU1AdL7ngAMY0fLg5UnwE5DtiwSjQqm-sTYYfSie40jQIeXB6RVAXpL-n2-lH1ooXv898KJnhBiLI0r17sVqMlleQRpp7RsBOJRSfw-dJER46X9tv53mSmYxCAcaEtxsN04A/w320-h284/24.04.2023_11.06.26_REC.png" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: left;">Representação genérica de uma matriz.</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhWmkynwlXgEBB3DYzcvJa6po6O-jKpC8h7QEWdyDG8teKdqZO_qf7JsXB9puPmLO1FC86NN9D6WELSZw4_e68mFY3mbFkJbibTNJGCTXl-SIxKg5uyD-_kH1aOF6rIAVly_tTQUsqkGbc5ZePOkuCNq76iVQo-zfRgYsiSxMcjm3e7wZTLc4DRMQ/s242/3_REC.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="128" data-original-width="242" height="169" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhWmkynwlXgEBB3DYzcvJa6po6O-jKpC8h7QEWdyDG8teKdqZO_qf7JsXB9puPmLO1FC86NN9D6WELSZw4_e68mFY3mbFkJbibTNJGCTXl-SIxKg5uyD-_kH1aOF6rIAVly_tTQUsqkGbc5ZePOkuCNq76iVQo-zfRgYsiSxMcjm3e7wZTLc4DRMQ/w320-h169/3_REC.png" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: left;"><br /></div><br /><div class="separator" style="clear: both; text-align: left;">Essa matriz representa uma matriz qualquer de ordem m x n. Podemos ainda representar assim:</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZttFGZEXUjbuYwbsxOYYe2DYYJBTou_TCE5Ve2vVvhxMA8WvToU1p_-Jdkvkt2X1vcVDicQSEmGy2PYiv8LYpYHrQdRjF8NLBW7qS6ReRnOmt4Jf9v_Ru2Wf16va0LKSOpTAaR0KXhbZmT4ybsHwU-kdU0liYAitPX6CjfP7-CiYaY8GDLxIgUA/s236/4_REC.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="35" data-original-width="236" height="47" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZttFGZEXUjbuYwbsxOYYe2DYYJBTou_TCE5Ve2vVvhxMA8WvToU1p_-Jdkvkt2X1vcVDicQSEmGy2PYiv8LYpYHrQdRjF8NLBW7qS6ReRnOmt4Jf9v_Ru2Wf16va0LKSOpTAaR0KXhbZmT4ybsHwU-kdU0liYAitPX6CjfP7-CiYaY8GDLxIgUA/w320-h47/4_REC.png" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: left;"><br /></div>O i indica a linha<div>O j indica a coluna</div><div><br /></div><div><p class="MsoNormal"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">a) O elemento <b>a<sub>13</sub> </b>( lê-se a um três)
primeira linha e terceira coluna.<o:p></o:p></span></p><p class="MsoNormal"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"></span></p><p class="MsoNormal"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">b) O elemento <b>a<sub>23</sub> </b>( lê-se: a dois três)
segunda linha e terceira coluna.<o:p></o:p></span></p><p class="MsoNormal"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><br /></span></p><p class="MsoNormal"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">TIPOS DE MATRIZES</span></p><p class="MsoNormal"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">Matriz linha</span></p><p class="MsoNormal"><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">B = [ 1
2 3 ] <sub>1 x 3</sub><o:p></o:p></span></b></p><p class="MsoNormal"><b><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; line-height: 18.4px;">Lê-se: matriz linha de ordem um por três.</span></b></p><p class="MsoNormal"><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><br /></span></b></p><p class="MsoNormal"><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">Matriz coluna</span></b></p><p class="MsoNormal"><b></b></p><div class="separator" style="clear: both; text-align: left;"><b><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEissf0aN410pwcgXs7jl_FyQ0kTGAI4072D3z__LT0yofU6zEztWxIs_RisUY8DWPlpcl5CI5Rg5BdSXIFeW8CxAtkrCTeX-A8vbynnNOA-G9d_ThXlTaSLXrbSLUOEQJzjRaI5r8fJgZXj1VGJjHp7UFwelUmDYZPirRrN6wwVY74ExjtRnxCiKQ/s102/5_REC.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="66" data-original-width="102" height="66" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEissf0aN410pwcgXs7jl_FyQ0kTGAI4072D3z__LT0yofU6zEztWxIs_RisUY8DWPlpcl5CI5Rg5BdSXIFeW8CxAtkrCTeX-A8vbynnNOA-G9d_ThXlTaSLXrbSLUOEQJzjRaI5r8fJgZXj1VGJjHp7UFwelUmDYZPirRrN6wwVY74ExjtRnxCiKQ/s1600/5_REC.png" width="102" /></a></b></div><b><br /><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">Lê-se: matriz coluna de ordem três por um.</span></b><p></p><p class="MsoNormal"><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><br /></span></b></p><p class="MsoNormal"><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">Matriz nula</span></b></p><p class="MsoNormal"><b></b></p><div class="separator" style="clear: both; text-align: left;"><b><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjGbrwJP6jaTnl7nFlJ8CxLbZx5Gxg5Xv3XdVXVoOkmYebpb-rTgWnCB3pp5rubiGgilAKiAgAzKUQocTAR8RHyI4nBjPuRZPYkakM9LKsPAX5KBSyGtP03LHsqVWOjunxSb-RvzexGMpKOetlf3gLkHlb7Es_nLsMzEc1GYcrF4Zas8MuiLSDdNg/s90/6_REC.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="63" data-original-width="90" height="63" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjGbrwJP6jaTnl7nFlJ8CxLbZx5Gxg5Xv3XdVXVoOkmYebpb-rTgWnCB3pp5rubiGgilAKiAgAzKUQocTAR8RHyI4nBjPuRZPYkakM9LKsPAX5KBSyGtP03LHsqVWOjunxSb-RvzexGMpKOetlf3gLkHlb7Es_nLsMzEc1GYcrF4Zas8MuiLSDdNg/s1600/6_REC.png" width="90" /></a></b></div><b><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; line-height: 18.4px;">Lê-se: matriz nula de ordem três por dois.</span></b><p></p><p class="MsoNormal"><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;"><br /></span></b></p><p class="MsoNormal"><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-bidi-font-size: 11.0pt;">Matriz quadrada</span></b></p><p class="MsoNormal"><b></b></p><div class="separator" style="clear: both; text-align: left;"><b><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjKm7ZWAyAFgXcCvzsF38HGHY8AScvr0YKWu-72v23OSm8ZobgrPql83-dY31NclO66dzfOXZctp_-iKxkvsXNKNd3lGl4YkXQXRfD0O8g58ngrhtzBn3foVeGDNvGZYW_7MgPf2ntm15ccZ1STkpmxNN7UK8V7QcePO8YI9JsqecIH2KhgiZ4u5w/s121/7_REC.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="63" data-original-width="121" height="63" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjKm7ZWAyAFgXcCvzsF38HGHY8AScvr0YKWu-72v23OSm8ZobgrPql83-dY31NclO66dzfOXZctp_-iKxkvsXNKNd3lGl4YkXQXRfD0O8g58ngrhtzBn3foVeGDNvGZYW_7MgPf2ntm15ccZ1STkpmxNN7UK8V7QcePO8YI9JsqecIH2KhgiZ4u5w/s1600/7_REC.png" width="121" /></a></b></div><b><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; line-height: 18.4px;">Lê-se: matriz quadrada de ordem três.</span></b><p></p><p class="MsoNormal"><b><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; line-height: 18.4px;"><br /></span></b></p><p class="MsoNormal"><b><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; line-height: 18.4px;">Matriz identidade</span></b></p><p class="MsoNormal"><b></b></p><div class="separator" style="clear: both; text-align: left;"><b><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjn2TP21p0XLa5ny5rGCtAp4gHzZqas005Bar4iJZWJKqTp9eUIAaTiBOmri91CYCsigwmpV_r-y8SbPV55NQLpzLZ-URDRCFH4pmOEiikvHEvRt7Kksa3x5ZEYmvZJ787fVqdYEcUzCeRFOR9TbZu4NaZxFNjfd6p7Nhj-UHrQQ4t9C93baejrUA/s104/9_REC.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="64" data-original-width="104" height="64" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjn2TP21p0XLa5ny5rGCtAp4gHzZqas005Bar4iJZWJKqTp9eUIAaTiBOmri91CYCsigwmpV_r-y8SbPV55NQLpzLZ-URDRCFH4pmOEiikvHEvRt7Kksa3x5ZEYmvZJ787fVqdYEcUzCeRFOR9TbZu4NaZxFNjfd6p7Nhj-UHrQQ4t9C93baejrUA/s1600/9_REC.png" width="104" /></a></b></div><b><br /><span style="font-family: Times New Roman, serif;">É uma matriz quadrada em que cada elemento da diagonal principal é 1 e os demais elementos têm o valor zero.</span></b><p></p><p></p><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><br /></div></div><p></p></div>Vergniaudhttp://www.blogger.com/profile/17556154627187342081noreply@blogger.com0