tag:blogger.com,1999:blog-18215126357338396862024-03-13T18:17:53.800-03:00Blog Mania de MatemáticaProfessor Luiz FranciscoProf. Luiz Franciscohttp://www.blogger.com/profile/15568972318349262420noreply@blogger.comBlogger1068125tag:blogger.com,1999:blog-1821512635733839686.post-71213920399377548192019-02-11T08:33:00.000-02:002019-02-11T10:53:30.900-02:00Questão 01 – Vestibulinho Etec – Centro Paula Souza – 1° Semestre de 2.019 - Acesso direto a 2ª série do Ensino Médio<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: right; margin-left: 1em; text-align: right;"><tbody>
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<b>Leia o texto e analise a figura para responder às questões de números 1 a 3.</b>
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Valentina pretende fazer um trabalho sobre a vida das abelhas e para isso fará um cartaz retangular em que
desenhará cinco hexágonos regulares congruentes não sobrepostos, com 10 cm de lado. Ela deseja que a altura
do cartaz seja exatamente igual a duas vezes a distância entre os lados paralelos dos hexágonos, como mostra
a figura. A área em cinza será colorida e a área composta pelos cinco hexágonos ficará em branco para que ela
possa escrever seu trabalho.
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<center>Adote para as questões de números 1 a 3: $\sqrt{3}=1,7$.</center>
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<b>Questão 01</b>
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Com base nas informações apresentadas, a altura (<b>2d</b>) do cartaz deverá ser, em
centímetros, aproximadamente, igual a
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<b>(A)</b> 30.
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<b>(B)</b> 32.
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<b>(C)</b> 34.
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<b>(D)</b> 36.
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<b>(E)</b> 38.
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<b>Solução: (C)</b>
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<td colspan="3" align="center" bgcolor="#999999" style="border: 2px solid #000;"><b>REFERÊNCIAS PARA ESTUDO</b></td>
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<td align="center" width="200px" bgcolor="#CCCCCC" style="border: 2px solid #000;"><b>SÉRIE / ANO</b></td>
<td align="center" width="200px" bgcolor="#CCCCCC" style="border: 2px solid #000;"><b>BIMESTRE</b></td>
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<td style="border: 2px solid #000;">Matemática <br/>Geometria</td>
<td align="center" style="border: 2px solid #000;">5ª / 6º</td>
<td align="center" style="border: 2px solid #000;">3º</td>
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<td style="border: 2px solid #000;">Matemática <br/>Geometria</td>
<td align="center" style="border: 2px solid #000;">6ª / 7º</td>
<td align="center" style="border: 2px solid #000;">2º</td>
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<td style="border: 2px solid #000;">Matemática <br/>Geometria</td>
<td align="center" style="border: 2px solid #000;">7ª / 8º</td>
<td align="center" style="border: 2px solid #000;">4º</td>
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<b>Fonte:</b>
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São Paulo (Estado) Secretaria da Educação. <a href="http://www.educacao.sp.gov.br/a2sitebox/arquivos/documentos/238.pdf">Currículo do Estado de São Paulo: Matemática e suas tecnologias</a> / Secretaria da Educação; coordenação geral, Maria Inês Fini; coordenação de área, Nilson José Machado. – 1. ed. atual. – São Paulo : SE, 2011.
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Prof. Luiz Franciscohttp://www.blogger.com/profile/15568972318349262420noreply@blogger.com0tag:blogger.com,1999:blog-1821512635733839686.post-52062153020384055442019-01-14T21:21:00.000-02:002019-01-14T21:32:26.808-02:00Puzzle: Qual o valor da "?"<br />
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Você consegue encontrar o valor da ${\color{Red} ?}$
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Um pequeno puzzle (quebra-cabeça) para você tentar descobrir os padrão que relaciona estes números.
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A resposta mais simples é 40, sendo essa a resposta mais popular nos comentários da postagem.
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É a mais simples e correta porque utiliza apenas os dados fornecidos, então o resultado da primeira soma passa a ser a terceira parcela da próxima soma:
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$1 + 4 = 5$
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$2 + 5 + 5 = 12$
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$3 + 6 + 12 = 21$
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$8 + 11 + 21 = 40$
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Em resumo "${\color{Red} ?}$" é a soma:
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${\color{Red} ?} = 1 + 4 + 2 + 5 + 3 + 6 + 8 + 11 = 40$
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Entretanto isso não quer dizer que somente essa é a resposta correta.
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O enunciado é muito vago, então temos, a oportunidade de obter outras respostas.
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A resposta que apareceu em segundo lugar é 96, obtido considerando cada igualdade como $x + y=z$ e realizando o seguinte cálculo:
$z=\left ( x\times y \right )+x$, em cada linha temos:
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$\left ( 1\times 4 \right )+1 = 5$
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$\left ( 2\times 5 \right )+2= 12$
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$\left ( 3\times 6 \right )+3= 21$
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$\left ( 8\times 11 \right )+8 = 96$
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Ao apresentar as duas colunas de com números, o cérebro procura uma solução que use ambos os números para obter o terceiro. Quando isso é satisfeito, basicamente paramos de procurar, mesmo que haja uma solução melhor, ou mais simples.
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Portanto, a lição é que mesmo obtendo a uma solução que parece se encaixar com o que é apresentado, precisamos pensar criticamente sobre as suposições que estamos fazendo e se soluções melhores e mais simples estão por aí.
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Se acaso o leitor encontrar outra solução compartilhe nos comentários!
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Prof. Luiz Franciscohttp://www.blogger.com/profile/15568972318349262420noreply@blogger.com0tag:blogger.com,1999:blog-1821512635733839686.post-27994584815969570452017-07-10T14:07:00.000-03:002017-07-10T14:07:42.987-03:00Reflexão: Ao prestar um concurso<div class="separator" style="clear: both; text-align: center;">
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<i>"Há uma diferença entre interesse e compromisso. Quando você está interessado em fazer alguma coisa, você só faz quando for conveniente. Quando está comprometido com alguma coisa, você não aceita desculpas, só resultados".</i>
<br />
Kenneth Blanchard
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Prestar um concurso público (ou vestibular) é um desejo de valor.
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A primeira tarefa é precisamente consolidar o desejo.
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Depois, faça um inventário sobre suas características como estudante: capacidade de concentração e de aprendizagem. Anote suas dificuldades. Observe seus pontos fortes. Planeje fazer o melhor.
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Avise a família e/ou os amigos que você vai se concentrar nos estudos. Peça o apoio deles. Peça as orações deles por você.
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<br />
Então, escolha o âmbito do concurso (federal, estadual ou municipal). Em seguida, veja em que áreas há ofertas. Escolha o concurso. Verifieuqe as datas previstas e locais onde será realizado.
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Organize sua agenda. Escolha um lugar próprio para estudar (em sua casa ou numa biblioteca, por exemplo). Reúna os recursos necessários (livros, sites, etc) e estude. Estude muito. Prepare-se. Prepare-se muito.
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<br />
Prestar um concurso é como construir uma torre, segundo o ensino de Jesus:
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<i>
<sup><b>28</b></sup> “Pois quem começaria a construção de uma torre sem primeiro fazer os cálculos e depois verificar se tem dinheiro suficiente para completá-la?
<br />
<sup><b>29</b></sup> De outra forma só poderia completar os alicerces e não completaria a obra, e todos os que vissem o que aconteceu iriam rir dele e dizer:
<br />
<sup><b>30</b></sup> ‘Estão vendo aquele sujeito ali? Começou aquela construção e ficou sem dinheiro para terminá-la!’
</i>
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<span style="font-size: large;"><b>João 14: 28-30</b>
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Bons estudos!
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<b>Fonte:</b> AZEVEDO, Israel Belo de. Bom Dia - Amigo. São Paulo: Alo Vereda, 2.015.
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Prof. Luiz Franciscohttp://www.blogger.com/profile/15568972318349262420noreply@blogger.com0tag:blogger.com,1999:blog-1821512635733839686.post-66883244155641143362017-06-27T15:06:00.000-03:002017-06-27T15:06:49.021-03:00Questão 20 - Vestibulinho Etec - 2° Semestre - 2.017<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: right; margin-left: 1em; text-align: right;"><tbody>
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<span style="font-family: inherit; font-size: large;">
O Quadrado Mágico é uma tabela quadrada composta
por números inteiros consecutivos a partir do 1, em que
a soma de cada coluna, de cada linha e de cada diagonal
são iguais. Essa soma é chamada de número mágico.
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Aprenda a encontrar o número mágico de um quadrado
3x3, como o da fgura.
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(figura)
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O quadrado mágico 3x3 possui 9 posições, portanto deve
ser preenchido com os números de 1 até 9, sem repetição.
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O número mágico pode ser encontrado seguindo dois
passos.
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<b>Passo 1</b> – Encontrar a soma total dos números.<br/>
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45
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<b>Passo 2</b> Passo 2 – Dividir a soma encontrada pelo
número de colunas existentes no
quadrado.<br />
No caso do quadrado mágico 3x3,
os 9 números estão agrupados em 3
colunas.<br />
Logo o número mágico será 45:3 = 15
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Em condições semelhantes, o número mágico de um
quadrado 4x4 será
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<b>(A)</b> 16.
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<b>(B)</b> 24.
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<b>(C)</b> 34.
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<b>(D)</b> 64.
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<b>(E)</b> 136.
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<b>Solução: (C)</b>
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<td colspan="3" align="center" bgcolor="#999999" style="border: 2px solid #000;"><b>REFERÊNCIAS PARA ESTUDO</b></td>
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<td align="center" width="400px" bgcolor="#CCCCCC" style="border: 2px solid #000;"><b>DISCIPLINA</b></td>
<td align="center" width="200px" bgcolor="#CCCCCC" style="border: 2px solid #000;"><b>SÉRIE / ANO</b></td>
<td align="center" width="200px" bgcolor="#CCCCCC" style="border: 2px solid #000;"><b>BIMESTRE</b></td>
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<td style="border: 2px solid #000;">Matemática <br/>Números</td>
<td align="center" style="border: 2px solid #000;">5ª / 6º</td>
<td align="center" style="border: 2px solid #000;">1º</td>
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<td style="border: 2px solid #000;">Matemática <br/>Números</td>
<td align="center" style="border: 2px solid #000;">1º E.M.</td>
<td align="center" style="border: 2px solid #000;">1º</td>
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<td colspan="3" align="justifyr" bgcolor="#CCCCCC" style="border: 2px solid #000;">
<b>Fonte:</b>
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São Paulo (Estado) Secretaria da Educação. <a href="http://www.educacao.sp.gov.br/a2sitebox/arquivos/documentos/238.pdf">Currículo do Estado de São Paulo: Matemática e suas tecnologias</a> / Secretaria da Educação; coordenação geral, Maria Inês Fini; coordenação de área, Nilson José Machado. – 1. ed. atual. – São Paulo : SE, 2011.
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Prof. Luiz Franciscohttp://www.blogger.com/profile/15568972318349262420noreply@blogger.com0tag:blogger.com,1999:blog-1821512635733839686.post-25281074933572613252017-06-27T10:44:00.000-03:002017-06-27T15:07:22.295-03:00Questão 19 - Vestibulinho Etec - 2° Semestre - 2.017<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: right; margin-left: 1em; text-align: right;"><tbody>
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<span style="font-family: inherit; font-size: large;">
Uma brincadeira consiste em passar um anel condutor, de um extremo a outro de um fio retorcido, também condutor de eletricidade. Durante a brincadeira a chave deve permanecer fechada conectando a pilha ao circuito. O anel deve ser passado por toda a extensão do fio retorcido sem toca-lo, pois quando a lâmpada acende a brincadeira acaba.
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Assinale a alternativa que apresenta um esquema de
construção de um dispositivo de acordo com a descrição
apresentada para a brincadeira.
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<td width="600px"><b>(A)</b><br/><br/><div class="separator" style="clear: both; text-align: center;"><a href="https://4.bp.blogspot.com/-ncMVw-4KeXQ/WVJQKuj4EEI/AAAAAAAAGTQ/qSROeb38Ius9oOcEiVP5Kqxw9robF5D2QCPcBGAYYCw/s1600/2S2017-19A.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" src="https://4.bp.blogspot.com/-ncMVw-4KeXQ/WVJQKuj4EEI/AAAAAAAAGTQ/qSROeb38Ius9oOcEiVP5Kqxw9robF5D2QCPcBGAYYCw/s400/2S2017-19A.png" width="400" height="215" data-original-width="781" data-original-height="420" /></a></div><br/><br/></td>
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<td width="200px"><b>(B)</b><br/><br/><div class="separator" style="clear: both; text-align: center;"><a href="https://3.bp.blogspot.com/-f1W9jQd2Lao/WVJQK3jc1aI/AAAAAAAAGTQ/Pj9S2Ar6_Ww4ve_yXQO5Yc0fw_gGbZEvwCPcBGAYYCw/s1600/2S2017-19B.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" src="https://3.bp.blogspot.com/-f1W9jQd2Lao/WVJQK3jc1aI/AAAAAAAAGTQ/Pj9S2Ar6_Ww4ve_yXQO5Yc0fw_gGbZEvwCPcBGAYYCw/s400/2S2017-19B.png" width="400" height="214" data-original-width="781" data-original-height="417" /></a></div><br/><br/></td>
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<td width="200px"><b>(C)</b><br/><br/><div class="separator" style="clear: both; text-align: center;"><a href="https://2.bp.blogspot.com/-_2eT7VzZP5U/WVJQKzVfAgI/AAAAAAAAGTQ/AgeOKDOI9GIOdQqWDKl87CC5do5H-a32ACPcBGAYYCw/s1600/2S2017-19C.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" src="https://2.bp.blogspot.com/-_2eT7VzZP5U/WVJQKzVfAgI/AAAAAAAAGTQ/AgeOKDOI9GIOdQqWDKl87CC5do5H-a32ACPcBGAYYCw/s400/2S2017-19C.png" width="400" height="215" data-original-width="781" data-original-height="419" /></a></div><br/><br/></td>
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<td width="200px"><b>(D)</b><br/><br/><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-H1isnQC3c4M/WVJQLoFlWzI/AAAAAAAAGTQ/PFGJblCM2EohiFdnQAd1s57AwwUCevRfwCPcBGAYYCw/s1600/2S2017-19D.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" src="https://1.bp.blogspot.com/-H1isnQC3c4M/WVJQLoFlWzI/AAAAAAAAGTQ/PFGJblCM2EohiFdnQAd1s57AwwUCevRfwCPcBGAYYCw/s400/2S2017-19D.png" width="400" height="215" data-original-width="781" data-original-height="419" /></a></div><br/><br/></td>
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<td width="200px"><b>(E)</b><br/><br/><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-Wu2NRgS2nsI/WVJQLlSk5rI/AAAAAAAAGTQ/F6VQg-ocJNINCUHrF19-MqZKij8TAez-gCPcBGAYYCw/s1600/2S2017-19E.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" src="https://1.bp.blogspot.com/-Wu2NRgS2nsI/WVJQLlSk5rI/AAAAAAAAGTQ/F6VQg-ocJNINCUHrF19-MqZKij8TAez-gCPcBGAYYCw/s400/2S2017-19E.png" width="400" height="215" data-original-width="781" data-original-height="420" /></a></div><br/><br/></td>
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<b>Solução: (C)</b>
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Neste vídeo do <a href="http://manualdomundo.com.br"><b>Manual do Mundo</b></a>, Iberê Thenório ensina como construir este brinquedo, explicando o princípio de funcionamento.
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<td colspan="3" align="center" bgcolor="#999999" style="border: 2px solid #000;"><b>REFERÊNCIAS PARA ESTUDO</b></td>
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<td align="center" width="400px" bgcolor="#CCCCCC" style="border: 2px solid #000;"><b>DISCIPLINA</b></td>
<td align="center" width="200px" bgcolor="#CCCCCC" style="border: 2px solid #000;"><b>SÉRIE / ANO</b></td>
<td align="center" width="200px" bgcolor="#CCCCCC" style="border: 2px solid #000;"><b>BIMESTRE</b></td>
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<td style="border: 2px solid #000;">Ciências <br/>Ciência e tecnologia – Energia no cotidiano e no sistema produtivo</td>
<td align="center" style="border: 2px solid #000;">7ª / 8º</td>
<td align="center" style="border: 2px solid #000;">4º</td>
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<td style="border: 2px solid #000;">Ciências <br/>Ciência e tecnologia – Constituição, interações e transformações dos materiais</td>
<td align="center" style="border: 2px solid #000;">8ª / 9º</td>
<td align="center" style="border: 2px solid #000;">4º</td>
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<td style="border: 2px solid #000;">Física <br/>Equipamentos elétricos</td>
<td align="center" style="border: 2px solid #000;">3º E.M.</td>
<td align="center" style="border: 2px solid #000;">1º</td>
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<b>Fonte:</b>
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São Paulo (Estado) Secretaria da Educação. <a href="http://www.rededosaber.sp.gov.br/portais/Portals/43/Files/CNST.pdf">Currículo do Estado de São Paulo: Ciências da Natureza e suas tecnologias</a> / Secretaria da Educação; coordenação geral, Maria Inês Fini; coordenação de área, Luis Carlos de Menezes. – São Paulo : SEE, 2010.
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Prof. Luiz Franciscohttp://www.blogger.com/profile/15568972318349262420noreply@blogger.com0tag:blogger.com,1999:blog-1821512635733839686.post-57860339755831073242017-05-15T15:40:00.003-03:002017-05-15T15:40:49.814-03:00Questão 43 - Vestibulinho Etec - 1° Semestre - 2.015<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: right; margin-left: 1em; text-align: right;"><tbody>
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A Op Art ou “arte óptica” é um segmento do Cubismo abstrato que valoriza a ideia de mais visualização e menos expressão. É por esse motivo que alguns artistas dessa vertente do Cubismo escolheram o móbile como base de sua arte.
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No móbile representado, considere que os “passarinhos” tenham a mesma massa e que as barras horizontais e os fios tenham massas desprezíveis.
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Para que o móbile permaneça equilibrado, conforme a figura, a barra maior que sustenta todo o conjunto deve receber um fio que a pendure, atado ao ponto numerado por
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<b>(A)</b> 1.
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<b>(B)</b> 2.
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<b>(E)</b> 5.
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<b>Solução: (C)</b>
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<td align="center" bgcolor="#999999" colspan="3" style="border: 2px solid #000;"><b>REFERÊNCIAS PARA ESTUDO</b></td>
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<td align="center" bgcolor="#CCCCCC" style="border: 2px solid #000;" width="400px"><b>DISCIPLINA</b></td>
<td align="center" bgcolor="#CCCCCC" style="border: 2px solid #000;" width="200px"><b>SÉRIE / ANO</b></td>
<td align="center" bgcolor="#CCCCCC" style="border: 2px solid #000;" width="200px"><b>BIMESTRE</b></td>
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<td style="border: 2px solid #000;">Física <br />
Conteúdo: Movimentos – Grandezas, variações e conservações</td>
<td align="center" style="border: 2px solid #000;">1º E.M.</td>
<td align="center" style="border: 2px solid #000;">2º</td>
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<td align="justifyr" bgcolor="#CCCCCC" colspan="3" style="border: 2px solid #000;"><b>Fonte:</b>
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São Paulo (Estado) Secretaria da Educação. <a href="http://www.rededosaber.sp.gov.br/portais/Portals/43/Files/CNST.pdf">Currículo do Estado de São Paulo: Ciências da Natureza e suas tecnologias</a> / Secretaria da Educação; coordenação geral, Maria Inês Fini; coordenação de área, Luis Carlos de Menezes. – São Paulo : SEE, 2010.
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Prof. Luiz Franciscohttp://www.blogger.com/profile/15568972318349262420noreply@blogger.com0tag:blogger.com,1999:blog-1821512635733839686.post-42183738734896566772017-05-15T14:38:00.000-03:002017-05-15T14:38:39.402-03:00Questão 41 - Vestibulinho Etec - 1° Semestre - 2.015<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: right; margin-left: 1em; text-align: right;"><tbody>
<tr><td style="text-align: center;"><a href="https://1.bp.blogspot.com/-HMeS4QWH-0M/WNpmnlUTgdI/AAAAAAAAGLA/F78_zy6mkvc54VvV6Sq14-yVClhxAit-ACPcB/s1600/ETEC.jpg" imageanchor="1" style="clear: right; margin-bottom: 1em; margin-left: auto; margin-right: auto;"><img border="0" height="200" src="https://1.bp.blogspot.com/-HMeS4QWH-0M/WNpmnlUTgdI/AAAAAAAAGLA/F78_zy6mkvc54VvV6Sq14-yVClhxAit-ACPcB/s200/ETEC.jpg" width="200" /></a></td></tr>
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Considere o texto e as fguras para responder às questões de números <b>30</b> e <b>31</b>.
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No Monumento às Bandeiras, situado no Parque do Ibirapuera em São Paulo, o escultor Victor Brecheret representou a ação de escravos e portugueses empenhados em transportar uma enorme canoa, arrastando-a pela mata.
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<tr><td class="tr-caption" style="text-align: center;">(http://tinyurl.com/pvm44u6 Acesso em: 31.07.2014.)</td></tr>
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Admita que, numa situação real, todos os homens que estão a pé exercem forças de iguais intensidades entre si e que as forças exercidas pelos cavalos também tenham as mesmas intensidades entre si.
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Na malha quadriculada, estão representados o sentido e a direção dos vetores força de um homem, de um cavalo e do atrito da canoa com o chão. Como a malha é constituída de quadrados, também é possível verificar que as intensidades da força de um cavalo e do atrito são múltiplos da intensidade da força de um homem.
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Legenda:<br />
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$\overrightarrow{h}$: vetor que representa a força de um único homem.<br />
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$\overrightarrow{c}$: vetor que representa a força de um único cavalo.<br />
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$\overrightarrow{a}$: vetor que representa a força de atrito da canoa com o chão.<br />
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Imagine que, em determinado momento, as forças horizontais sobre a canoa sejam unicamente a de sete homens, dois cavalos e do atrito da canoa com o chão. A canoa tem massa igual a $1\,200\; kg$ e, devido às forças aplicadas, ela é movimentada com aceleração de $0,4 \; m/s^{2}$.
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Com base nessas informações, é correto afirmar que a intensidade da força exercida por um único homem é, em newtons
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<b>(A)</b> 180.
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<b>(B)</b> 240.
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<b>(C)</b> 360.
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<b>(D)</b> 480.
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<b>(E)</b> 500.
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<b>Solução: (B)</b>
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<td align="center" bgcolor="#CCCCCC" style="border: 2px solid #000;" width="400px"><b>DISCIPLINA</b></td>
<td align="center" bgcolor="#CCCCCC" style="border: 2px solid #000;" width="200px"><b>SÉRIE / ANO</b></td>
<td align="center" bgcolor="#CCCCCC" style="border: 2px solid #000;" width="200px"><b>BIMESTRE</b></td>
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<td style="border: 2px solid #000;">Matemática <br />
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<td align="center" style="border: 2px solid #000;">6ª / 7º</td>
<td align="center" style="border: 2px solid #000;">4º</td>
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<td style="border: 2px solid #000;">Matemática <br />
Conteúdo: Números / Relações</td>
<td align="center" style="border: 2px solid #000;">7ª / 8º</td>
<td align="center" style="border: 2px solid #000;">3º</td>
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<td style="border: 2px solid #000;">Física <br />
Conteúdo: Movimentos – Grandezas, variações e conservações</td>
<td align="center" style="border: 2px solid #000;">1º E.M.</td>
<td align="center" style="border: 2px solid #000;">1º</td>
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<td align="justifyr" bgcolor="#CCCCCC" colspan="3" style="border: 2px solid #000;"><b>Fonte:</b><br />São Paulo (Estado) Secretaria da Educação. <a href="http://www.educacao.sp.gov.br/a2sitebox/arquivos/documentos/238.pdf">Currículo do Estado de São Paulo: Matemática e suas tecnologias</a> / Secretaria da Educação; coordenação geral, Maria Inês Fini; coordenação de área, Nilson José Machado. – 1. ed. atual. – São Paulo : SE, 2011.<br />
<br />
São Paulo (Estado) Secretaria da Educação. <a href="http://www.rededosaber.sp.gov.br/portais/Portals/43/Files/CNST.pdf">Currículo do Estado de São Paulo: Ciências da Natureza e suas tecnologias</a> / Secretaria da Educação; coordenação geral, Maria Inês Fini; coordenação de área, Luis Carlos de Menezes. – São Paulo : SEE, 2010.
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Prof. Luiz Franciscohttp://www.blogger.com/profile/15568972318349262420noreply@blogger.com0tag:blogger.com,1999:blog-1821512635733839686.post-77472790099917440952017-05-15T10:43:00.000-03:002017-05-15T10:43:05.016-03:00Questão 37 - Vestibulinho Etec - 1° Semestre - 2.015<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: right; margin-left: 1em; text-align: right;"><tbody>
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<span style="font-family: inherit; font-size: large;">
A mostra <b>“Castelo Rá-Tim-Bum – A exposição”</b> recriou o famoso castelo, em homenagem ao programa infantil da TV Cultura o qual completou 20 anos do início de
sua veiculação em 2014. Essa mostra foi inaugurada em julho, no Museu da Imagem e do Som (MIS), localizado na cidade de São Paulo, obtendo enorme sucesso de
público.
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Os ingressos, vendidos na bilheteria do Museu, são de R\$ 10,00 (inteira) e R\$ 5,00 (meia). Para menores de cinco anos, o ingresso é gratuito.
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Admita que no dia da inauguração da exposição:<br />
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● ingressaram 1 700 visitantes;<br />
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● entre esses visitantes, 150 eram menores de cinco anos;<br />
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● a arrecadação total foi de R$ 12.500,00;<br />
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● todos os visitantes pagantes adquiriram os ingressos exclusivamente na bilheteria do MIS; e<br />
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● com exceção das crianças menores de 5 anos, os demais visitantes pagaram ingresso.<br />
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Assim sendo, pode-se concluir que a quantidade de visitantes que pagou meia entrada nesse dia foi de
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<b>(A)</b> 600 pessoas.
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<b>(B)</b> 650 pessoas.
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<b>(C)</b> 700 pessoas.
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<b>(D)</b> 750 pessoas.
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<b>(E)</b> 800 pessoas.
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<b>Solução: (A)</b>
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<td align="center" bgcolor="#999999" colspan="3" style="border: 2px solid #000;"><b>REFERÊNCIAS PARA ESTUDO</b></td>
</tr>
<tr>
<td align="center" bgcolor="#CCCCCC" style="border: 2px solid #000;" width="400px"><b>DISCIPLINA</b></td>
<td align="center" bgcolor="#CCCCCC" style="border: 2px solid #000;" width="200px"><b>SÉRIE / ANO</b></td>
<td align="center" bgcolor="#CCCCCC" style="border: 2px solid #000;" width="200px"><b>BIMESTRE</b></td>
</tr>
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<td style="border: 2px solid #000;">Matemática <br />
Conteúdo: Números</td>
<td align="center" style="border: 2px solid #000;">6ª / 7º</td>
<td align="center" style="border: 2px solid #000;">4º</td>
</tr>
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<td style="border: 2px solid #000;">Matemática <br />
Conteúdo: Números / Relações</td>
<td align="center" style="border: 2px solid #000;">7ª / 8º</td>
<td align="center" style="border: 2px solid #000;">3º</td>
</tr>
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<td align="justifyr" bgcolor="#CCCCCC" colspan="3" style="border: 2px solid #000;"><b>Fonte:</b> São Paulo (Estado) Secretaria da Educação. <a href="http://www.educacao.sp.gov.br/a2sitebox/arquivos/documentos/238.pdf">Currículo do Estado de São Paulo: Matemática e suas tecnologias</a> / Secretaria da Educação; coordenação geral, Maria Inês Fini; coordenação de área, Nilson José Machado. – 1. ed. atual. – São Paulo : SE, 2011.
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Prof. Luiz Franciscohttp://www.blogger.com/profile/15568972318349262420noreply@blogger.com0tag:blogger.com,1999:blog-1821512635733839686.post-77733912129827835332017-05-15T10:18:00.000-03:002017-05-15T10:45:00.607-03:00Questão 09 - Vestibulinho Etec - 1° Semestre - 2.015<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: right; margin-left: 1em; text-align: right;"><tbody>
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A apresentação de motociclistas, dentro do globo da morte, é sempre um momento empolgante de uma sessão de circo, pois, ao atingir o ponto mais alto do
globo, eles ficam de ponta cabeça. Para que, nesse momento, o motociclista não caia, é necessário que ele esteja a uma velocidade mínima ($v$) que se relaciona com o raio do globo ($R$) e a aceleração da gravidade ($g$) pela expressão: $v=\sqrt{R \; \cdot \; g}$, com $R$ dado em metros.
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<tr><td class="tr-caption" style="text-align: center;">(http://tinyurl.com/globo-da-morte. Acesso em: 15.09.2014.<br/>Original colorido)</td></tr>
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Considere que no ponto mais alto de um globo da morte, um motociclista não caiu, pois estava com a velocidade mínima de $27\;km/h$.
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Assim sendo, o raio do globo é, aproximadamente, em metros,
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Adote: $g = 10\;m/s^{2}$
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<b>(A)</b> $5,6$.
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<b>(B)</b> $6,3$.
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<b>(C)</b> $7,5$.
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<b>(D)</b> $8,2$.
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<b>(E)</b> $9,8$.
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<b>Solução: (A)</b>
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<td colspan="3" align="center" bgcolor="#999999" style="border: 2px solid #000;"><b>REFERÊNCIAS PARA ESTUDO</b></td>
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<td align="center" width="200px" bgcolor="#CCCCCC" style="border: 2px solid #000;"><b>SÉRIE / ANO</b></td>
<td align="center" width="200px" bgcolor="#CCCCCC" style="border: 2px solid #000;"><b>BIMESTRE</b></td>
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<td style="border: 2px solid #000;">Matemática <br/>Conteúdo: Números</td>
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<td align="center" style="border: 2px solid #000;">4º</td>
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<td style="border: 2px solid #000;">Matemática <br/>Conteúdo: Números / Relações</td>
<td align="center" style="border: 2px solid #000;">7ª / 8º</td>
<td align="center" style="border: 2px solid #000;">3º</td>
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<b>Fonte:</b> São Paulo (Estado) Secretaria da Educação. <a href="http://www.educacao.sp.gov.br/a2sitebox/arquivos/documentos/238.pdf">Currículo do Estado de São Paulo: Matemática e suas tecnologias</a> / Secretaria da Educação; coordenação geral, Maria Inês Fini; coordenação de área, Nilson José Machado. – 1. ed. atual. – São Paulo : SE, 2011.
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Prof. Luiz Franciscohttp://www.blogger.com/profile/15568972318349262420noreply@blogger.com0tag:blogger.com,1999:blog-1821512635733839686.post-61790950719734856472017-04-19T13:23:00.002-03:002017-04-20T08:13:50.790-03:00Questão 31 - Vestibulinho Etec - 1° Semestre - 2.015<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: right; margin-left: 1em; text-align: right;"><tbody>
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Considere o texto e as fguras para responder às questões de números <b>30</b> e <b>31</b>.
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O circo é uma expressão artística, parte da cultura popular, que traz diversão e entretenimento. É um lugar onde as pessoas têm a oportunidade de ver apresentações de vários artistas como mágicos, palhaços, malabaristas, contorcionistas e muito mais. Mas antes que a magia desse mundo se realize, há muito trabalho na montagem da estrutura do circo.
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A tenda de um circo deve ser montada em um terreno plano e para isso deve ser construída uma estrutura, conforme a sequência de fguras.
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Nas fguras, considere que:<br />
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●foram colocadas 8 estacas congruentes perpendiculares ao plano do chão;<br />
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● cada estaca tem 4 m acima do solo;<br />
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● as estacas estão igualmente distribuídas, sendo que suas bases formam um octógono regular;<br />
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● os topos das estacas consecutivas estão ligados por varas de 12 m de comprimento;<br />
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● para imobilizar as estacas, do topo de cada uma delas até o chão há um único cabo esticado que forma um ângulo de 45° com o solo (a figura mostra apenas alguns desses cabos). Todos os cabos têm a mesma medida;<br />
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● no centro do octógono regular é colocado o mastro central da estrutura, que é vertical;<br />
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● do topo de cada estaca até o topo do mastro é colocada uma outra vara. Todas essas varas têm a mesma medida;<br />
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● na estrutura superior, são formados triângulos isósceles congruentes entre si; e<br />
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● em cada um desses triângulos isósceles, a altura relativa à base é de 15 m.<br />
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<b>Questão 31</b>
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A quantidade de cabo utilizada para imobilizar as oito estacas, é, em metros,
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Para o cálculo, considere apenas a quantidade de cabo do topo de cada estaca até o solo.<br />
Despreze as amarras.
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<b>(A)</b> $16\sqrt{2}$.
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<b>(B)</b> $24\sqrt{2}$.
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<b>(C)</b> $32\sqrt{2}$.
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<b>(D)</b> $40\sqrt{2}$.
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<b>(E)</b> $48\sqrt{2}$.
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<b>Solução: (C)</b>
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<td align="center" bgcolor="#CCCCCC" style="border: 2px solid #000;" width="400px"><b>DISCIPLINA</b></td>
<td align="center" bgcolor="#CCCCCC" style="border: 2px solid #000;" width="200px"><b>SÉRIE / ANO</b></td>
<td align="center" bgcolor="#CCCCCC" style="border: 2px solid #000;" width="200px"><b>BIMESTRE</b></td>
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<td style="border: 2px solid #000;">Matemática <br />
Conteúdo: Geometria / Relações</td>
<td align="center" style="border: 2px solid #000;">5ª / 6º</td>
<td align="center" style="border: 2px solid #000;">3º</td>
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<td style="border: 2px solid #000;">Matemática <br />
Conteúdo: Geometria / Relações</td>
<td align="center" style="border: 2px solid #000;">6ª / 7º</td>
<td align="center" style="border: 2px solid #000;">2º</td>
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<td style="border: 2px solid #000;">Matemática <br />
Conteúdo: Geometria</td>
<td align="center" style="border: 2px solid #000;">7ª / 8°</td>
<td align="center" style="border: 2px solid #000;">4º</td>
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<td style="border: 2px solid #000;">Matemática <br />
Conteúdo: Geometria / Relações</td>
<td align="center" style="border: 2px solid #000;">8ª / 9º</td>
<td align="center" style="border: 2px solid #000;">3º</td>
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<td align="justifyr" bgcolor="#CCCCCC" colspan="3" style="border: 2px solid #000;"><b>Fonte:</b> São Paulo (Estado) Secretaria da Educação. <a href="http://www.educacao.sp.gov.br/a2sitebox/arquivos/documentos/238.pdf">Currículo do Estado de São Paulo: Matemática e suas tecnologias</a> / Secretaria da Educação; coordenação geral, Maria Inês Fini; coordenação de área, Nilson José Machado. – 1. ed. atual. – São Paulo : SE, 2011.
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Prof. Luiz Franciscohttp://www.blogger.com/profile/15568972318349262420noreply@blogger.com0tag:blogger.com,1999:blog-1821512635733839686.post-17240326243453961522017-04-19T10:13:00.002-03:002017-04-20T08:14:24.711-03:00Questão 30 - Vestibulinho Etec - 1° Semestre - 2.015<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: right; margin-left: 1em; text-align: right;"><tbody>
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Considere o texto e as fguras para responder às questões de números <b>30</b> e <b>31</b>.
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O circo é uma expressão artística, parte da cultura popular, que traz diversão e entretenimento. É um lugar onde as pessoas têm a oportunidade de ver apresentações de vários artistas como mágicos, palhaços, malabaristas, contorcionistas e muito mais. Mas antes que a magia desse mundo se realize, há muito trabalho na montagem da estrutura do circo.
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A tenda de um circo deve ser montada em um terreno plano e para isso deve ser construída uma estrutura, conforme a sequência de fguras.
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Nas fguras, considere que:<br />
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● foram colocadas 8 estacas congruentes perpendiculares ao plano do chão;<br />
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● cada estaca tem 4 m acima do solo;<br />
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● as estacas estão igualmente distribuídas, sendo que suas bases formam um octógono regular;<br />
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● os topos das estacas consecutivas estão ligados por varas de 12 m de comprimento;<br />
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● para imobilizar as estacas, do topo de cada uma delas até o chão há um único cabo esticado que forma um ângulo de 45° com o solo (a figura mostra apenas alguns desses cabos). Todos os cabos têm a mesma medida;<br />
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● no centro do octógono regular é colocado o mastro central da estrutura, que é vertical;<br />
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● do topo de cada estaca até o topo do mastro é colocada uma outra vara. Todas essas varas têm a mesma medida;<br />
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● na estrutura superior, são formados triângulos isósceles congruentes entre si; e<br />
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● em cada um desses triângulos isósceles, a altura relativa à base é de 15 m.<br />
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<b>Questão 30</b>
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A cobertura e as laterais da tenda descrita serão totalmente revestidas por lona. Para que isso ocorra, a quantidade mínima de lona que deverá ser usada é, em metros quadrados, igual a
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<b>(A)</b> 138.
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<b>(B)</b> 384.
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<b>(C)</b> 720.
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<b>(D)</b> 1104.
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<b>(E)</b> 1200.
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<b>Solução: (D)</b>
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<td style="border: 2px solid #000;">Matemática <br />
Conteúdo: Geometria / Relações</td>
<td align="center" style="border: 2px solid #000;">5ª / 6º</td>
<td align="center" style="border: 2px solid #000;">3º</td>
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<td style="border: 2px solid #000;">Matemática <br />
Conteúdo: Geometria / Relações</td>
<td align="center" style="border: 2px solid #000;">6ª / 7º</td>
<td align="center" style="border: 2px solid #000;">2º</td>
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Conteúdo: Geometria</td>
<td align="center" style="border: 2px solid #000;">7ª / 8°</td>
<td align="center" style="border: 2px solid #000;">4º</td>
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<td style="border: 2px solid #000;">Matemática <br />
Conteúdo: Geometria / Relações</td>
<td align="center" style="border: 2px solid #000;">8ª / 9º</td>
<td align="center" style="border: 2px solid #000;">3º</td>
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<td align="justifyr" bgcolor="#CCCCCC" colspan="3" style="border: 2px solid #000;"><b>Fonte:</b> São Paulo (Estado) Secretaria da Educação. <a href="http://www.educacao.sp.gov.br/a2sitebox/arquivos/documentos/238.pdf">Currículo do Estado de São Paulo: Matemática e suas tecnologias</a> / Secretaria da Educação; coordenação geral, Maria Inês Fini; coordenação de área, Nilson José Machado. – 1. ed. atual. – São Paulo : SE, 2011.
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Prof. Luiz Franciscohttp://www.blogger.com/profile/15568972318349262420noreply@blogger.com0tag:blogger.com,1999:blog-1821512635733839686.post-35552268354414990202017-04-17T13:41:00.001-03:002017-04-20T08:14:59.060-03:00Questão 21 - Vestibulinho Etec - 1° Semestre - 2.015<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: right; margin-left: 1em; text-align: right;"><tbody>
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A arte e a arquitetura islâmica apresentam os mais variados e complexos padrões geométricos.
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Na Mesquita de Córdoba, na Espanha, podemos encontrar um dos mais belos exemplos dessa arte. O esquema geométrico da figura 1 é um dos muitos detalhes dessa
magnífica obra.
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<tr><td class="tr-caption" style="text-align: center;"><b>Figura 1</b>
(fonte das figuras desta
questão: BROUG, Eric. Islamic:
Geometric Patterns.<br />
Londres.
Thames & Hudson, 2008.
Adaptado)</td></tr>
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Assinale a alternativa que apresenta o padrão geométrico cuja repetição compõe a figura 1.
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<td width="200px"><b>(A)</b><br />
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<a href="https://4.bp.blogspot.com/-q-OfPT23JHY/WPTrb5OYiqI/AAAAAAAAGPU/2WNNSn1-xFsXCd4v1pDo9F1MrACBwaLHQCLcB/s1600/q21a.png" imageanchor="1"><img border="0" height="200" src="https://4.bp.blogspot.com/-q-OfPT23JHY/WPTrb5OYiqI/AAAAAAAAGPU/2WNNSn1-xFsXCd4v1pDo9F1MrACBwaLHQCLcB/s200/q21a.png" width="200" /></a><br />
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<td width="200px"><b>(D)</b><br />
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<a href="https://2.bp.blogspot.com/-Et2v9q6s264/WPTrcCDT6iI/AAAAAAAAGPc/1MCWWgn-Og4DnemBHuwtr5eGT_RU_2CswCLcB/s1600/q21d.png" imageanchor="1"><img border="0" height="200" src="https://2.bp.blogspot.com/-Et2v9q6s264/WPTrcCDT6iI/AAAAAAAAGPc/1MCWWgn-Og4DnemBHuwtr5eGT_RU_2CswCLcB/s200/q21d.png" width="200" /></a><br />
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<td width="200px"><b>(B)</b><br />
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<a href="https://2.bp.blogspot.com/-OL3MjZyNMEs/WPTrbzTDZWI/AAAAAAAAGPY/WuFZfcZTxYEjx7MWoMxz9UA2k1Fg6MPEwCLcB/s1600/q21b.png" imageanchor="1"><img border="0" height="200" src="https://2.bp.blogspot.com/-OL3MjZyNMEs/WPTrbzTDZWI/AAAAAAAAGPY/WuFZfcZTxYEjx7MWoMxz9UA2k1Fg6MPEwCLcB/s200/q21b.png" width="200" /></a><br />
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<td width="200px"><b>(E)</b><br />
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<a href="https://3.bp.blogspot.com/-sN958nr01kg/WPTrcNwsnkI/AAAAAAAAGPg/fplar-ElnacQ1v_myKaaltKnS7lEPWY5QCLcB/s1600/q21e.png" imageanchor="1"><img border="0" height="200" src="https://3.bp.blogspot.com/-sN958nr01kg/WPTrcNwsnkI/AAAAAAAAGPg/fplar-ElnacQ1v_myKaaltKnS7lEPWY5QCLcB/s200/q21e.png" width="200" /></a><br />
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<td width="200px"><b>(C)</b><br />
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<a href="https://1.bp.blogspot.com/-5vS0VqGJ_JE/WPTrjQOqVWI/AAAAAAAAGPk/EJ7lFKs-GX4xI0a6d8vj5ZWV6WiiTesugCLcB/s1600/q21c.png" imageanchor="1"><img border="0" height="200" src="https://1.bp.blogspot.com/-5vS0VqGJ_JE/WPTrjQOqVWI/AAAAAAAAGPk/EJ7lFKs-GX4xI0a6d8vj5ZWV6WiiTesugCLcB/s200/q21c.png" width="200" /></a><br />
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<td width="200px"></td>
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<b>Solução: (E)</b>
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<td align="center" bgcolor="#999999" colspan="3" style="border: 2px solid #000;"><b>REFERÊNCIAS PARA ESTUDO</b></td>
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<td align="center" bgcolor="#CCCCCC" style="border: 2px solid #000;" width="400px"><b>DISCIPLINA</b></td>
<td align="center" bgcolor="#CCCCCC" style="border: 2px solid #000;" width="200px"><b>SÉRIE / ANO</b></td>
<td align="center" bgcolor="#CCCCCC" style="border: 2px solid #000;" width="200px"><b>BIMESTRE</b></td>
</tr>
<tr>
<td style="border: 2px solid #000;">Matemática <br />
Conteúdo: Número / Relações</td>
<td align="center" style="border: 2px solid #000;">5ª / 6º</td>
<td align="center" style="border: 2px solid #000;">1º</td>
</tr>
<tr>
<td style="border: 2px solid #000;">Matemática <br />
Conteúdo: Geometria / Relações</td>
<td align="center" style="border: 2px solid #000;">5ª / 6º</td>
<td align="center" style="border: 2px solid #000;">3º</td>
</tr>
<tr>
<td style="border: 2px solid #000;">Matemática <br />
Conteúdo: Números</td>
<td align="center" style="border: 2px solid #000;">1ª E.M.</td>
<td align="center" style="border: 2px solid #000;">1º</td>
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<td align="justifyr" bgcolor="#CCCCCC" colspan="3" style="border: 2px solid #000;"><b>Fonte:</b> São Paulo (Estado) Secretaria da Educação. <a href="http://www.educacao.sp.gov.br/a2sitebox/arquivos/documentos/238.pdf">Currículo do Estado de São Paulo: Matemática e suas tecnologias</a> / Secretaria da Educação; coordenação geral, Maria Inês Fini; coordenação de área, Nilson José Machado. – 1. ed. atual. – São Paulo : SE, 2011.
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Prof. Luiz Franciscohttp://www.blogger.com/profile/15568972318349262420noreply@blogger.com0tag:blogger.com,1999:blog-1821512635733839686.post-65483822623852781822017-04-17T12:36:00.000-03:002017-04-20T08:15:15.957-03:00Questão 20 - Vestibulinho Etec - 1° Semestre - 2.015<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: right; margin-left: 1em; text-align: right;"><tbody>
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Em um antigo projetor de cinema, o filme a ser projetado deixa o carretel <b>F</b>, seguindo um caminho que o leva ao
carretel <b>R</b>, onde será rebobinado. Os carretéis são idênticos e se diferenciam apenas pelas funções que realizam.
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Pouco depois do início da projeção, os carretéis apresentam-se como mostrado na figura, na qual observamos o sentido
de rotação que o aparelho imprime ao carretel <b>R</b>.
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Nesse momento, considerando as quantidades de filme que os carretéis contêm e o tempo necessário para que o
carretel <b>R</b> dê uma volta completa, é correto concluir que o carretel <b>F</b> gira em sentido
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<b>(A)</b> anti-horário e dá mais voltas que o carretel <b>R</b>.
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<b>(B)</b> anti-horário e dá menos voltas que o carretel <b>R</b>.
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<b>(C)</b> horário e dá mais voltas que o carretel <b>R</b>.
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<b>(D)</b> horário e dá menos voltas que o carretel <b>R</b>.
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<b>(E)</b> horário e dá o mesmo número de voltas que o carretel <b>R</b>.
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<b>Solução: (D)</b>
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<td align="center" bgcolor="#999999" colspan="3" style="border: 2px solid #000;"><b>REFERÊNCIAS PARA ESTUDO</b></td>
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<td align="center" bgcolor="#CCCCCC" style="border: 2px solid #000;" width="400px"><b>DISCIPLINA</b></td>
<td align="center" bgcolor="#CCCCCC" style="border: 2px solid #000;" width="200px"><b>SÉRIE / ANO</b></td>
<td align="center" bgcolor="#CCCCCC" style="border: 2px solid #000;" width="200px"><b>BIMESTRE</b></td>
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<td style="border: 2px solid #000;">Matemática <br />
Conteúdo: Geometria / Relações</td>
<td align="center" style="border: 2px solid #000;">5ª / 6º</td>
<td align="center" style="border: 2px solid #000;">3º</td>
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<td align="justifyr" bgcolor="#CCCCCC" colspan="3" style="border: 2px solid #000;"><b>Fonte:</b> São Paulo (Estado) Secretaria da Educação. <a href="http://www.educacao.sp.gov.br/a2sitebox/arquivos/documentos/238.pdf">Currículo do Estado de São Paulo: Matemática e suas tecnologias</a> / Secretaria da Educação; coordenação geral, Maria Inês Fini; coordenação de área, Nilson José Machado. – 1. ed. atual. – São Paulo : SE, 2011.
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Prof. Luiz Franciscohttp://www.blogger.com/profile/15568972318349262420noreply@blogger.com1tag:blogger.com,1999:blog-1821512635733839686.post-30719944648562000032017-04-13T12:56:00.000-03:002017-04-20T08:15:46.887-03:00Questão 16 - Vestibulinho Etec - 1° Semestre - 2.015<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: right; margin-left: 1em; text-align: right;"><tbody>
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Se hoje um filme pode ser armazenado na forma de um arquivo digital, no passado, ele só podia existir na forma de rolos, contendo uma grande quantidade de fotogramas, conforme figura. Para causar a impressão de continuidade, esses fotogramas eram projetados um por um, a uma velocidade de 24 fotogramas por segundo.
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Se a cada 30 mm da fita de um filme existe um único fotograma, em uma animação de 3 minutos de duração, a fita terá um comprimento aproximado, em metros, de
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<b>(A)</b> 70.
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<b>(B)</b> 90.
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<b>(C)</b> 130.
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<b>(D)</b> 150.
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<b>(E)</b> 220.
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<b>Solução: (C)</b>
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<td align="center" bgcolor="#999999" colspan="3" style="border: 2px solid #000;"><b>REFERÊNCIAS PARA ESTUDO</b></td>
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<td align="center" bgcolor="#CCCCCC" style="border: 2px solid #000;" width="400px"><b>DISCIPLINA</b></td>
<td align="center" bgcolor="#CCCCCC" style="border: 2px solid #000;" width="200px"><b>SÉRIE / ANO</b></td>
<td align="center" bgcolor="#CCCCCC" style="border: 2px solid #000;" width="200px"><b>BIMESTRE</b></td>
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<td style="border: 2px solid #000;">Matemática <br />
Conteúdo: Números / Relações</td>
<td align="center" style="border: 2px solid #000;">5ª / 6º</td>
<td align="center" style="border: 2px solid #000;">2º</td>
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<td style="border: 2px solid #000;">Matemática <br />
Conteúdo: Relações</td>
<td align="center" style="border: 2px solid #000;">6ª / 7º</td>
<td align="center" style="border: 2px solid #000;">3º</td>
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<td align="justifyr" bgcolor="#CCCCCC" colspan="3" style="border: 2px solid #000;"><b>Fonte:</b> São Paulo (Estado) Secretaria da Educação. <a href="http://www.educacao.sp.gov.br/a2sitebox/arquivos/documentos/238.pdf">Currículo do Estado de São Paulo: Matemática e suas tecnologias</a> / Secretaria da Educação; coordenação geral, Maria Inês Fini; coordenação de área, Nilson José Machado. – 1. ed. atual. – São Paulo : SE, 2011.
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Prof. Luiz Franciscohttp://www.blogger.com/profile/15568972318349262420noreply@blogger.com0tag:blogger.com,1999:blog-1821512635733839686.post-32556601789328531972017-04-13T11:38:00.000-03:002017-04-20T08:16:10.978-03:00Questão 09 - Vestibulinho Etec - 1° Semestre - 2.015<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: right; margin-left: 1em; text-align: right;"><tbody>
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A Companhia do Latão é um grupo de teatro influenciado pela obra de Bertolt Brecht cujas peças criticam a sociedade atual. Os cenários são simples e despojados e dão margem à imaginação da plateia, fazendo-a cúmplice dos atores e, em muitas ocasiões, parte do espetáculo.
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Na criação da atmosfera cênica na peça Ópera dos Vivos, a Companhia utilizou 8 baldes plásticos vermelhos, cada um deles com uma lâmpada de 150 W em seu interior.
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Se todas essas lâmpadas fossem mantidas acesas durante meia hora, ao longo da apresentação, a energia utilizada por elas seria, em watt-hora,
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<b>(A)</b> 600.
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<b>(B)</b> 800.
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<b>(C)</b> 900.
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<b>(D)</b> 1.200.
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<b>(E)</b> 1.500.
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<b>Solução: (A)</b>
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Prof. Luiz Franciscohttp://www.blogger.com/profile/15568972318349262420noreply@blogger.com0tag:blogger.com,1999:blog-1821512635733839686.post-80612857856751327932017-04-11T10:16:00.000-03:002017-04-11T10:16:16.141-03:00Questão 03 - Vestibulinho Etec - 1° Semestre - 2.015<div class="separator" style="clear: both; text-align: center;">
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<div style="text-align: justify;">
<span style="font-family: inherit; font-size: large;">
Um artista pretende pintar uma tela que tenha o formato de um retângulo áureo, por considerá-lo mais agradável esteticamente dentre todos os retângulos.
<br/>
<br/>
Ele sabe que um retângulo é áureo quando a razão entre os comprimentos de seus lados é 1,618, aproximadamente.
<br/>
<br/>
Assim sendo, se a medida do maior lado da tela for de 40 cm, então, a medida do menor lado será, em centímetros, aproximadamente,
</span></div>
<div style="text-align: justify;">
<span style="font-family: inherit; font-size: large;">
<br/>
<br/>
<br/>
<b>(A)</b> 22,94.
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<br/>
<b>(B)</b> 24,72.
<br/>
<br/>
<b>(C)</b> 28,54.
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<br/>
<b>(D)</b> 36,26.
<br/>
<br/>
<b>(E)</b> 64,72.
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<br/>
<br/>
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<b>Solução: (B)</b>
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Prof. Luiz Franciscohttp://www.blogger.com/profile/15568972318349262420noreply@blogger.com0tag:blogger.com,1999:blog-1821512635733839686.post-77273570634276193482017-04-05T10:49:00.000-03:002017-04-05T10:49:35.597-03:00Questão 48 - Vestibulinho Etec - 1° Semestre - 2.017<div class="separator" style="clear: both; text-align: center;">
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<div style="text-align: justify;">
<span style="font-family: inherit; font-size: large;">
A caminho da erradicação da pobreza, para poder contemplar a todos com o direito à habitação, as novas edificações devem ser construídas com o menor custo e
demandar cuidados mínimos de manutenção.
<br/>
<br/>
Um acontecimento sempre presente em edificações, e que torna necessária a manutenção, é o surgimento de rachaduras. Há muitas formas de surgirem rachaduras
como, por exemplo, pela acomodação do terreno ou ocorrência de terremotos. Algumas rachaduras, ainda, ocorrem devido à dilatação térmica.
<br/>
<br/>
A dilatação térmica é um fenômeno que depende diretamente do material do qual o objeto é feito, de suas dimensões originais e da variação de temperatura a que ele é submetido.
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<span style="font-family: inherit; font-size: large;">
<br/>
Para um objeto como um muro, o acréscimo ou decréscimo da área da superfície do muro é calculado pela expressão:
<br/>
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<br/>
</span></div>
<div style="text-align: center">
<span style="font-family: inherit; font-size: large;">
$\Delta S=S_{0}\cdot \beta \cdot \Delta \theta $
<br/>
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</span></div>
<div style="text-align: justify;">
<span style="font-family: inherit; font-size: large;">
Em que:
<br/>
<br/>
$\Delta S\rightarrow$ representa a variação (acréscimo ou diminuição) da área da superfície que o muro apresentará;
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<br/>
$S_{0}\rightarrow$ é a área original da superfície do muro, antes de ocorrer a dilatação térmica;
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<br/>
$\beta \rightarrow$ é uma constante que está relacionada com o material que foi utilizado em sua construção;
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<br/>
$\Delta \theta \rightarrow$ é a variação de temperatura à qual o muro é submetido.
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<span style="font-family: inherit; font-size: large;">
<br/>
<br/>
<br/>
Considere dois muros feitos com o mesmo material, sendo que o menor deles possui uma área de superfície igual a 100 m<sup>2</sup>, enquanto que o maior tem 200 m<sup>2</sup>.
<br/>
<br/>
Se o muro menor sofrer uma variação de temperatura de +20ºC e o maior sofrer uma variação de +40ºC, a variação da área da superfície do muro maior em relação à variação da área da superfície do muro menor, é
</span></div>
<div style="text-align: justify;">
<span style="font-family: inherit; font-size: large;">
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<br/>
<b>(A)</b> quatro vezes menor.
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<br/>
<b>(B)</b> duas vezes menor.
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<br/>
<b>(C)</b> a mesma.
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<br/>
<b>(D)</b> duas vezes maior.
<br/>
<br/>
<b>(E)</b> quatro vezes maior.
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<b>Solução: (E)</b>
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Prof. Luiz Franciscohttp://www.blogger.com/profile/15568972318349262420noreply@blogger.com0tag:blogger.com,1999:blog-1821512635733839686.post-80897635364470292632017-04-04T15:47:00.000-03:002017-04-04T15:47:40.592-03:00Questão 42 - Vestibulinho Etec - 1° Semestre - 2.017<div class="separator" style="clear: both; text-align: center;">
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A alimentação saudável está entre as inúmeras atitudes que podem ser adotadas para garantir qualidade de vida.
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Alice, aluna de Nutrição e Dietética da Etec de Avaré, aprendeu que as leguminosas, como feijão, lentilha, grão-de-bico, entre outras, são fontes de proteínas de origem vegetal, e que o consumo regular de arroz integral traz muitos benefícios à saúde, já que ele apresenta mais nutrientes que o arroz branco.
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Alice preparou uma receita de arroz integral com lentilha, prato de origem árabe, utilizando quantidades iguais destes dois ingredientes. Quando ficou pronto, ela serviu-se de uma porção da receita que fez.
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Considerando que a lentilha tem o triplo da quantidade de proteína do arroz integral e que Alice ingeriu 28 g de proteína,
provenientes apenas desses dois alimentos, pode-se concluir que ela consumiu
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<span style="font-family: inherit; font-size: large;">
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<b>(A)</b> 7 g de proteína proveniente do arroz integral.
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<b>(B)</b> 9 g de proteína proveniente do arroz integral.
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<b>(C)</b> 11 g de proteína proveniente do arroz integral.
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<b>(D)</b> 23 g de proteína proveniente da lentilha.
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<b>(E)</b> 25 g de proteína proveniente da lentilha.
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<b>Solução: (A)</b>
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Prof. Luiz Franciscohttp://www.blogger.com/profile/15568972318349262420noreply@blogger.com0tag:blogger.com,1999:blog-1821512635733839686.post-29952417274554347782017-04-04T13:02:00.000-03:002017-04-04T13:02:42.521-03:00Questão 29 - Vestibulinho Etec - 1° Semestre - 2.017<div class="separator" style="clear: both; text-align: center;">
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A quantidade mínima de água necessária para a vida de um ser humano varia de acordo com seu padrão
de vida, o local em que mora, seus hábitos, entre outros fatores. No Brasil, considera-se o consumo
de 150 a 200 litros de água por pessoa, por dia, o necessário para uma vida confortável numa residência.
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Para saber se você e os moradores de sua casa são consumidores moderados de água, basta encontrar o
consumo médio por pessoa.
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Se o resultado for, por dia,
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✓ menor que 150 L por pessoa, significa que vocês praticam a economia de água.
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✓ entre 150 e 300 L é sinal de que vocês estão no limite do bom senso.
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✓ maior de 300 L, significa que vocês devem refletir sobre a utilização da água na sua casa, ou mesmo averiguar se este elevado consumo está sendo causado por vazamentos.
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<a href="https://www.blogger.com/null">http://tinyurl.com/zzaso7z</a> Acesso em: 10.09.16. Adaptado.
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<span style="font-family: inherit; font-size: large;">
O consumo de água referente ao mês de setembro de uma residência com 5 moradores foi de 25 m<sup>3</sup>.
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Sobre o consumo médio por morador por dia, é correto afirmar que esses, moradores
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<b>(A)</b> praticam a economia de água.
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<b>(B)</b> estão no limite do bom senso.
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<b>(C)</b> consomem menos do que os que praticam a economia de água.
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<b>(D)</b> devem refletir sobre a utilização da água na sua casa.
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<b>(E)</b> devem averiguar a existência de possíveis vazamentos na residência.
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<b>Solução: (B)</b>
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Prof. Luiz Franciscohttp://www.blogger.com/profile/15568972318349262420noreply@blogger.com0tag:blogger.com,1999:blog-1821512635733839686.post-59467692325018202662017-04-03T21:34:00.000-03:002017-04-03T21:34:45.463-03:00Questão 37 - Vestibulinho Etec - 1° Semestre - 2.017<div class="separator" style="clear: both; text-align: center;">
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<span style="font-family: inherit;">
Leia o texto e a tabela para responder às questões de números <b>37</b> e <b>38</b>.
</span></div>
<div style="text-align: justify;">
<span style="font-family: inherit; font-size: large;">
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No mundo de hoje a acessibilidade é um direito e, para garanti-lo, são necessárias algumas adaptações, como as rampas em locais públicos, conforme mostra a figura.
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<div class="separator" style="clear: both; text-align: center;"><a href="https://4.bp.blogspot.com/-PTYujJxPWvY/WOLoHWl3vXI/AAAAAAAAGNk/hBW3PzgPrG4_Spe_GJt4UEdQf53hoRKtgCPcB/s1600/p37.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://4.bp.blogspot.com/-PTYujJxPWvY/WOLoHWl3vXI/AAAAAAAAGNk/hBW3PzgPrG4_Spe_GJt4UEdQf53hoRKtgCPcB/s400/p37.png" width="400" height="139" /></a></div>
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<div style="text-align: justify;">
<span style="font-family: inherit; font-size: large;">
<b>Questão 37</b>
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Suponha que a rampa desenhada na figura tenha 6 m de comprimento. Se, sobre a rampa, um cadeirante mover sua cadeira com velocidade constante de 0,2 m/s, o tempo necessário para conseguir vencer o desnível do ponto mais baixo ao mais alto é, em segundos,
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<div style="text-align: justify;">
<span style="font-family: inherit; font-size: large;">
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<b>(A)</b> 12.
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<b>(B)</b> 15.
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<b>(C)</b> 20.
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<b>(D)</b> 30.
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<b>(E)</b> 45.
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<b>Solução: (D)</b>
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Prof. Luiz Franciscohttp://www.blogger.com/profile/15568972318349262420noreply@blogger.com0tag:blogger.com,1999:blog-1821512635733839686.post-20918778240843431672017-04-03T20:45:00.000-03:002017-04-03T20:55:06.490-03:00Questão 36 - Vestibulinho Etec - 1° Semestre - 2.017<div style="text-align: center;">
<a href="https://1.bp.blogspot.com/-HMeS4QWH-0M/WNpmnlUTgdI/AAAAAAAAGLA/F78_zy6mkvc54VvV6Sq14-yVClhxAit-ACPcB/s1600/ETEC.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" height="200" src="https://1.bp.blogspot.com/-HMeS4QWH-0M/WNpmnlUTgdI/AAAAAAAAGLA/F78_zy6mkvc54VvV6Sq14-yVClhxAit-ACPcB/s200/ETEC.jpg" width="200" /></a><span style="font-family: inherit;">
Leia o texto e a tabela para responder às questões de números <b>35</b> e <b>36</b>.
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<div style="text-align: justify;">
<span style="font-family: inherit; font-size: large;">
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O aleitamento materno é a mais sábia estratégia natural de vínculo, afeto, proteção e nutrição para a criança e constitui a mais sensível, econômica e eficaz intervenção para redução da morbimortalidade infantil. Permite ainda um grandioso impacto na promoção da saúde integral da dupla mãe/bebê.
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Nos primeiros dias após o nascimento, o leite materno é chamado de colostro. O leite de mães de recém-nascidos prematuros é diferente do de mães de bebês a termo.
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A principal proteína do leite materno é a lactoalbumina e a do leite de vaca é a caseína, de difícil digestão para a espécie humana.
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A tabela apresenta as diferenças entre o colostro e o leite maduro, entre o leite de mães de bebês a pré-termo e de bebês a termo e entre o leite materno e o leite de vaca.
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<table border="0">
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<td align="center" bgcolor="#999999" colspan="4" style="border: 2px solid #000;"><b>Leite Materno</b></td>
<td align="center" bgcolor="#999999" rowspan="3" style="border: 2px solid #000;" width="200px"><b>Leite de Vaca</b></td>
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<td align="center" bgcolor="#999999" rowspan="2" style="border: 2px solid #000;" width="200px"><b>Nutriente</b></td>
<td align="center" bgcolor="#CCCCCC" colspan="2" style="border: 2px solid #000;"><b>Colostro (3-5 dias)</b></td>
<td align="center" bgcolor="#CCCCCC" colspan="2" style="border: 2px solid #000;"><b>Leite maduro (26-29 dias)</b></td>
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<td align="center" bgcolor="#CCCCCC" style="border: 2px solid #000;" width="200px">a termo<sup>(1)</sup></td>
<td align="center" bgcolor="#CCCCCC" style="border: 2px solid #000;" width="200px">a pré-termo<sup>(2)</sup></td>
<td align="center" bgcolor="#CCCCCC" style="border: 2px solid #000;" width="200px">a termo<sup>(1)</sup></td>
<td align="center" bgcolor="#CCCCCC" style="border: 2px solid #000;" width="200px">a pré-termo<sup>(2)</sup></td>
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<td style="border: 2px solid #000;">Calorias (kcal/dL)</td>
<td align="center" style="border: 2px solid #000;">48</td>
<td align="center" style="border: 2px solid #000;">58</td>
<td align="center" style="border: 2px solid #000;">62</td>
<td align="center" style="border: 2px solid #000;">70</td>
<td align="center" style="border: 2px solid #000;">69</td>
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<td style="border: 2px solid #000;">Lipídios (g/dL)</td>
<td align="center" style="border: 2px solid #000;">1,8</td>
<td align="center" style="border: 2px solid #000;">3,0</td>
<td align="center" style="border: 2px solid #000;">3,0</td>
<td align="center" style="border: 2px solid #000;">4,1</td>
<td align="center" style="border: 2px solid #000;">3,7</td>
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<td style="border: 2px solid #000;">Proteína (g/dL)</td>
<td align="center" style="border: 2px solid #000;">1,9</td>
<td align="center" style="border: 2px solid #000;">2,1</td>
<td align="center" style="border: 2px solid #000;">1,3</td>
<td align="center" style="border: 2px solid #000;">1,4</td>
<td align="center" style="border: 2px solid #000;">3,3</td>
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<td style="border: 2px solid #000;">Lactose (g/dL)</td>
<td align="center" style="border: 2px solid #000;">5,1</td>
<td align="center" style="border: 2px solid #000;">5,0</td>
<td align="center" style="border: 2px solid #000;">6,5</td>
<td align="center" style="border: 2px solid #000;">6,0</td>
<td align="center" style="border: 2px solid #000;">4,8</td>
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<span style="font-family: inherit; font-size: large;">
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<sup>(1)</sup> Bebê a termo: gestação de 39 a 40 semanas.
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<sup>(2)</sup> Bebê a pré-termo: gestação de 37 a 38 semanas.
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<div style="text-align: justify;">
<span style="font-family: inherit;">
<a href="https://www.blogger.com/null">http://tinyurl.com/z2xs272</a> Acesso em: 01.09.2016. Adaptado.
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<span style="font-family: inherit; font-size: large;">
<b>Questão 36</b>
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A quantidade de lactose que um bebê a pré-termo de 4 dias ingere ao ser amamentado com 80 mL de leite materno é, em gramas,
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<span style="font-family: inherit; font-size: large;">
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<b>(A)</b> 0,04.
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<b>(B)</b> 0,4.
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<b>(C)</b> 4,0.
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<b>(D)</b> 40,0.
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<b>(E)</b> 400,0.
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<b>Solução: (C)</b>
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Prof. Luiz Franciscohttp://www.blogger.com/profile/15568972318349262420noreply@blogger.com0tag:blogger.com,1999:blog-1821512635733839686.post-25524905968192339032017-03-30T08:47:00.000-03:002017-03-30T08:47:29.976-03:00Questão 24 - Processo Seletivo - Senai - 2.017<div class="separator" style="clear: both; text-align: center;"><a href="https://4.bp.blogspot.com/-HYzGigA5s8M/WNpo9pGjmDI/AAAAAAAAGLM/qfoRkqrgS2YSXtkKKiRmgI-z5TWkS183QCPcB/s1600/SENAI.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="https://4.bp.blogspot.com/-HYzGigA5s8M/WNpo9pGjmDI/AAAAAAAAGLM/qfoRkqrgS2YSXtkKKiRmgI-z5TWkS183QCPcB/s200/SENAI.jpg" width="200" height="200" /></a></div>
<b>Processo Seletivo:</b> Curso Técnico
<br/>
<b>Ano:</b> 1º semestre de 2.017
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<b>Órgão:</b> SENAI
<br/>
<b>Prova:</b> CGE 2133
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<b>Fonte:</b> <a href="http://exetecvestibulares.com.br/provas-anteriores-senai/" target="_blank">Provas Anteriores Senai</a>
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<span style="font-size: large;">
Uma empresa vai distribuir <i>kits</i> promocionais a seus clientes mais fiéis. Para compor os <i>kits</i>, foram comprados 5 tipos de calendários, 6 tipos de canetas e 4 tipos de camisetas. Sabendo que cada cliente ganhará um objeto de cada tipo (no total, 3 objetos), de quantas formas diferentes poderão ser
compostos os <i>kits</i>?
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<b>a.</b> 120.
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<b>b.</b> 40.
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<b>c.</b> 15.
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<b>d.</b> 9.
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<b>e.</b> 5.
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<b>Solução: (a)</b>
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Prof. Luiz Franciscohttp://www.blogger.com/profile/15568972318349262420noreply@blogger.com0tag:blogger.com,1999:blog-1821512635733839686.post-8494087090965240372017-03-30T08:40:00.002-03:002017-03-30T08:40:20.185-03:00Questão 23 - Processo Seletivo - Senai - 2.017<div class="separator" style="clear: both; text-align: center;">
<a href="https://4.bp.blogspot.com/-HYzGigA5s8M/WNpo9pGjmDI/AAAAAAAAGLM/qfoRkqrgS2YSXtkKKiRmgI-z5TWkS183QCPcB/s1600/SENAI.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" height="200" src="https://4.bp.blogspot.com/-HYzGigA5s8M/WNpo9pGjmDI/AAAAAAAAGLM/qfoRkqrgS2YSXtkKKiRmgI-z5TWkS183QCPcB/s200/SENAI.jpg" width="200" /></a></div>
<b>Processo Seletivo:</b> Curso Técnico
<br />
<b>Ano:</b> 1º semestre de 2.017
<br />
<b>Órgão:</b> SENAI
<br />
<b>Prova:</b> CGE 2133
<br />
<b>Fonte:</b> <a href="http://exetecvestibulares.com.br/provas-anteriores-senai/" target="_blank">Provas Anteriores Senai</a>
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<div style="text-align: justify;">
<span style="font-size: large;">
Em Trigonometria, a lei dos cossenos ajuda a descobrir medidas desconhecidas num triângulo qualquer, conforme a expressão:
</span></div>
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<b>Dado:</b> $a^{2}=b^{2}+c^{2}-2\cdot b\cdot c\cdot \cos \left ( A \right )$.
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Considere o triângulo fora de escala a seguir, que representa a planta de um terreno.
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<span style="font-size: large;">
<b>Dado:</b> $\cos \left ( 120^{\circ} \right )=-0,5$.
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Nesse terreno, qual a medida aproximada, em metros, do lado oposto ao maior ângulo?
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<b>a.</b> 0,5.
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<b>b.</b> 0,8.
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<b>c.</b> 3,6.
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<b>d.</b> 5,0.
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<b>e.</b> 6,0.
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<b>Solução: (e)</b>
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Prof. Luiz Franciscohttp://www.blogger.com/profile/15568972318349262420noreply@blogger.com0tag:blogger.com,1999:blog-1821512635733839686.post-34741159850929855722017-03-29T15:58:00.001-03:002017-03-29T15:58:05.060-03:00Questão 22 - Processo Seletivo - Senai - 2.017<div class="separator" style="clear: both; text-align: center;">
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<b>Processo Seletivo:</b> Curso Técnico
<br />
<b>Ano:</b> 1º semestre de 2.017
<br />
<b>Órgão:</b> SENAI
<br />
<b>Prova:</b> CGE 2133
<br />
<b>Fonte:</b> <a href="http://exetecvestibulares.com.br/provas-anteriores-senai/" target="_blank">Provas Anteriores Senai</a>
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<span style="font-size: large;">
As barras de ferro para construção são vendidas pelos fabricantes por kg, sendo as bitolas (diâmetros) em polegadas (”) ou milímetros. O “Peso Linear” associa a massa da barra ao seu o comprimento. Observe a tabela e a figura a seguir.
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<td align="center" width="150"><b>Bitola (mm)</b></td>
<td align="center" width="250"><b>Peso Linear (kg/m)</b></td>
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<td align="center">6,35</td>
<td align="center">0,25</td>
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<tr>
<td align="center">7,94</td>
<td align="center">0,39</td>
</tr>
<tr>
<td align="center">9,53</td>
<td align="center">0,56</td>
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<td align="center">12,70</td>
<td align="center">0,99</td>
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<b>Fonte:</b> Disponível em: <a href="https://www.blogger.com/null">http://www.euroacos.com.br/barras.html</a>. Acesso em: 08 dez. 2014.
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Se um fabricante vende barras de ferro a R$ 3,65 o kg, quanto custa uma barra de 12 metros de comprimento, com bitola de 1/4”?
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<b>Dado:</b> 1” = 25,4 mm.
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<b>a.</b> R\$ 9,12.
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<b>b.</b> R\$ 10,95.
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<b>c.</b> R\$ 17,08.
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<b>d.</b> R\$ 24,53.
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<b>e.</b> R\$ 43,36.
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<b>Solução: (b)</b>
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Prof. Luiz Franciscohttp://www.blogger.com/profile/15568972318349262420noreply@blogger.com1tag:blogger.com,1999:blog-1821512635733839686.post-79951612226827091552017-03-29T10:29:00.000-03:002017-03-29T13:59:02.873-03:00Questão 21 - Processo Seletivo - Senai - 2.017<div class="separator" style="clear: both; text-align: center;">
<a href="https://4.bp.blogspot.com/-HYzGigA5s8M/WNpo9pGjmDI/AAAAAAAAGLM/qfoRkqrgS2YSXtkKKiRmgI-z5TWkS183QCPcB/s1600/SENAI.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" height="200" src="https://4.bp.blogspot.com/-HYzGigA5s8M/WNpo9pGjmDI/AAAAAAAAGLM/qfoRkqrgS2YSXtkKKiRmgI-z5TWkS183QCPcB/s200/SENAI.jpg" width="200" /></a></div>
<b>Processo Seletivo:</b> Curso Técnico
<br />
<b>Ano:</b> 1º semestre de 2.017
<br />
<b>Órgão:</b> SENAI
<br />
<b>Prova:</b> CGE 2133
<br />
<b>Fonte:</b> <a href="http://exetecvestibulares.com.br/provas-anteriores-senai/" target="_blank">Provas Anteriores Senai</a><br />
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<span style="font-size: large;">
Um campo de futebol de 68 metros de largura por 105 metros de comprimento será revestido completamente com grama. A medida da área a ser plantada, em metros quadrados, será igual a
<br />
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<br />
<b>a.</b> 173.
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<b>b.</b> 346.
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<b>c.</b> 6140.
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<br />
<b>d.</b> 7140.
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<b>e.</b> 8140.
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<b>Solução: (d)</b>
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Prof. Luiz Franciscohttp://www.blogger.com/profile/15568972318349262420noreply@blogger.com0