tag:blogger.com,1999:blog-35274248733686101322024-03-13T20:06:25.655+00:00Cadernos de MatemáticaALGUMA MATEMÁTICA AQUI E ALIUnknownnoreply@blogger.comBlogger174125tag:blogger.com,1999:blog-3527424873368610132.post-17150602585492728682015-03-11T16:23:00.001+00:002015-03-11T16:26:35.480+00:00How will be the world in 2020<div dir="ltr" style="text-align: left;" trbidi="on">
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Unknownnoreply@blogger.com0Coimbra, Portugal40.2033145 -8.41025730000001240.009347999999996 -8.7329808000000124 40.397281 -8.0875338000000117tag:blogger.com,1999:blog-3527424873368610132.post-27860065810355324642015-03-09T16:34:00.002+00:002015-03-09T16:36:23.443+00:00Memórias do Aluno Mia Couto<div dir="ltr" style="text-align: left;" trbidi="on">
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: right; margin-left: 1em; text-align: right;"><tbody>
<tr><td style="text-align: center;"><img alt="Resultado de imagem para mia couto imagens" class="rg_i" data-src="https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcRWLK-pnqtiEg22eNUEB0FfbXSFtq_EOn3kxUbTSPBLQx0SqpcLwg" data-sz="f" height="286" name="NxO8kEEyh5FMIM:" src="https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcRWLK-pnqtiEg22eNUEB0FfbXSFtq_EOn3kxUbTSPBLQx0SqpcLwg" style="height: 171px; margin-left: auto; margin-right: auto; margin-top: 0px; width: 239px;" width="400" /></td></tr>
<tr><td class="tr-caption" style="text-align: center;"><b style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;">(Trecho de uma palestra proferida por Mia Couto,</b><b style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"> intitulada ”
Da cegueira colectiva à aprendizagem </b><b style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;">da insensibilidade”,</b><b style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"> em
Maputo/2012)</b></td></tr>
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<span style="font-size: large;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="color: blue;">Durante anos,
fui professor. E quando digo isto há uma emoção fortíssima que me
atravessa. </span></span></span></div>
<div style="text-align: justify;">
<span style="font-size: large;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="color: blue;">Eu não sei se há profissão mais nobre do que a de ensinar. E
digo ensinar porque existe uma diferença sensível entre ensinar e dar
aulas. O professor no sentido de mestre é aquele que dá lições.</span></span></span></div>
<div style="text-align: justify;">
<span style="font-size: large;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="color: blue;">Os
professores que mais me marcaram na vida foram os que me ensinaram
coisas que estavam bem para além da matéria escolar. </span></span></span></div>
<div style="text-align: justify;">
<span style="font-size: large;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="color: blue;">Não esqueço nunca
um professor da escola primária que um dia leu, comovido, um texto
escrito por ele mesmo.</span></span></span></div>
<div style="text-align: justify;">
<span style="font-size: large;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="color: blue;">Logo na declaração da sua intenção nasceu o
primeiro espanto: nós, os alunos, é que fazíamos redações, nós é que as
líamos em voz alta para ele nos corrigir. Como é que aquele homem grande
se sujeitava àquela inversão de papéis? Como é que aceitava fazer algo
que só faz quem ainda está a aprender?</span></span></span></div>
<div style="text-align: justify;">
<span style="font-size: large;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="color: blue;">Lembro-me
como se fosse hoje: o professor era um homem muito alto e seco e, nesse
dia, ele subiu ao estrado da sala segurando, nos dedos trémulos, um
caderno escolar. E era como se ele se transfigurasse num menino frágil,
em flagrante prestação de provas. Parecia um mastro, solitário e
desprotegido. Só a sua alma o podia salvar.</span></span></span></div>
<div style="text-align: justify;">
<span style="font-size: large;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="color: blue;">Depois,
quando anunciou o título da redação veio a surpresa do tema que parecia
quase infantil: o professor iria falar das mãos da sua mãe. Éramos
crianças e estranhámos que um adulto (e ainda por cima com o estatuto
dele) partilhasse connosco esse tipo de sentimento. </span></span></span></div>
<div style="text-align: justify;">
<span style="font-size: large;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="color: blue;">Mas o que a seguir
escutei foi bem mais do que um espanto: ele falava da sua progenitora
como eu podia falar da minha própria mãe. Também eu conhecera essas
mesmas mãos marcadas pelo trabalho, enrugadas pela dureza da vida, sem
nunca conhecerem o bálsamo de nenhum cosmético. No final, o texto
acabava sem nenhum artifício, sem nenhuma construção literária.
Simplesmente, terminava assim, e eu cito de cor: “é isto que te quero
dizer, mãe, dizer-te que me orgulho tanto das tuas mãos calejadas,
dizer-te isso agora que não posso senão lembrar o carinho do teu eterno
gesto.”</span></span></span></div>
<div style="text-align: justify;">
<span style="font-size: large;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="color: blue;">Havia qualquer coisa de
profundamente verdadeiro, qualquer coisa diversa naquele texto que o
demarcava dos outros textos do manual escolar. É que não surgia ali, em
destacado, uma conclusão moral afixada como uma grande proclamação, uma
espécie de bandeira hasteada.</span></span></span></div>
<div style="text-align: justify;">
<span style="font-size: large;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="color: blue;">Aquele momento não foi uma aula. Foi uma
lição que sucedeu do mesmo modo como vivemos as coisas mais profundas:
aprendemos, sem saber que estamos aprendendo. Lembro este episódio como
uma homenagem a todos os professores, a esses abnegados trabalhadores
que todos os dias entregam tanto ao futuro deste país.</span></span></span><br />
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Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-3527424873368610132.post-84391958242769165722015-02-21T23:50:00.000+00:002015-02-21T23:53:46.794+00:00Equações do 1º Grau - Ficha de Trabalho<div dir="ltr" style="text-align: left;" trbidi="on">
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Unknownnoreply@blogger.com0Coimbra, Portugal40.2033145 -8.41025730000001240.009347999999996 -8.7329808000000124 40.397281 -8.0875338000000117tag:blogger.com,1999:blog-3527424873368610132.post-20431802498532355672014-12-23T04:23:00.000+00:002015-02-24T10:55:38.752+00:00<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="color: blue;"><span style="font-size: x-large;">MATEMÁTICA 10</span></span></h2>
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<span style="color: blue;"><span style="font-size: x-large;">ITENS DO GAVE - EXERCÍCIOS RESOLVIDOS E EXPLICADOS </span></span></h3>
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<span style="color: blue;"><span style="font-size: x-large;">CADERNO 2</span></span></h3>
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Unknownnoreply@blogger.com0Coimbra, Portugal40.2033145 -8.41025730000001240.009347999999996 -8.7329808000000124 40.397281 -8.0875338000000117tag:blogger.com,1999:blog-3527424873368610132.post-63619281909977446012014-12-16T15:57:00.002+00:002015-02-24T10:56:48.365+00:00<div dir="ltr" style="text-align: left;" trbidi="on">
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Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-3527424873368610132.post-26222194090478944362013-08-11T15:57:00.001+01:002013-08-11T16:04:42.649+01:00O Prazer da Estatística<div dir="ltr" style="text-align: left;" trbidi="on">
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Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-3527424873368610132.post-45921543279836885612013-05-17T12:55:00.001+01:002013-05-17T12:55:53.800+01:00Estatística - SPSS<div dir="ltr" style="text-align: left;" trbidi="on">
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Unknownnoreply@blogger.com0Coimbra, Portugal40.2023788 -8.4471559999999540.008412299999996 -8.76987949999995 40.3963453 -8.12443249999995tag:blogger.com,1999:blog-3527424873368610132.post-33052847687625337942013-05-16T18:45:00.002+01:002013-05-16T18:46:45.668+01:00Análise Infinitesimal II<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="font-size: x-large;">Exercícios Resolvidos</span></div>
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Exame da Época Normal - 2011-2012</div>
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<a href="https://www.dropbox.com/s/rne9yipl0zdhwsw/AI2.pdf" target="_blank">Resolução Aqui</a></div>
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<a href="http://cadernosdematematica.blogspot.pt/">cadernosdematematica.blogspot.pt/</a></div>
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Unknownnoreply@blogger.com0Coimbra, Portugal40.2023788 -8.4471559999999540.008412299999996 -8.76987949999995 40.3963453 -8.12443249999995tag:blogger.com,1999:blog-3527424873368610132.post-59818939396204327552013-05-16T17:18:00.000+01:002013-05-16T17:18:16.492+01:00ANOVA - SPSS<div dir="ltr" style="text-align: left;" trbidi="on">
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Unknownnoreply@blogger.com0Coimbra, Portugal40.2023788 -8.4471559999999540.008412299999996 -8.76987949999995 40.3963453 -8.12443249999995tag:blogger.com,1999:blog-3527424873368610132.post-71426699646027536442013-05-09T10:20:00.000+01:002013-05-09T10:26:41.451+01:00SPSS - Testes de Normalidade<div dir="ltr" style="text-align: left;" trbidi="on">
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Unknownnoreply@blogger.com0Coimbra, Portugal40.2023788 -8.4471559999999540.0084113 -8.76987949999995 40.3963463 -8.12443249999995tag:blogger.com,1999:blog-3527424873368610132.post-78075520516141782862013-05-08T19:20:00.001+01:002013-05-08T19:22:37.942+01:00Apoio na Realização de Teses - Estatística e SPSS<div dir="ltr" style="text-align: left;" trbidi="on">
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Unknownnoreply@blogger.com0Coimbra, Portugal40.2023788 -8.4471559999999540.0084133 -8.76987949999995 40.396344299999996 -8.12443249999995tag:blogger.com,1999:blog-3527424873368610132.post-70265625697801443222013-05-08T19:06:00.000+01:002013-05-08T19:08:31.094+01:00SPSS e Estatística - Coimbra<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="color: blue;"><b style="font-family: 'Open Sans', sans-serif; font-size: x-large; line-height: 28.796875px;">Apoio na Realização deTrabalhos de Investigação (Teses, Relatórios, Dissertações, ...)</b></span></div>
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<span style="color: blue;"><span style="font-size: large;"><span class="font_5" style="border: 0px; font-family: 'Open Sans', sans-serif; line-height: 1.2em; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span class="color_1" style="border: 0px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span class="italic" style="border: 0px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span class="bold" style="border: 0px; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"></span></span></span></span><span class="font_6" style="border: 0px; font-family: 'Open Sans', sans-serif; line-height: 1.2em; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span class="bold" style="border: 0px; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"></span><span class="bold" style="border: 0px; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span class="color_11" style="border: 0px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">• Análise da Consistência Interna</span></span></span></span></span><br />
<span style="color: blue; font-family: 'Open Sans', sans-serif; font-size: medium; font-weight: 700; line-height: 1.2em;">• Estatísticas Descritivas</span></div>
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<span style="color: blue;"><span style="font-size: large;"><span class="font_6" style="border: 0px; font-family: 'Open Sans', sans-serif; line-height: 1.2em; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span class="bold" style="border: 0px; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span class="color_11" style="border: 0px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">• Inferência Estatística<br />• Comparação de Contagens e Proporções<br />• Amostras Independentes: Testes Paramétricos e Não Paramétricos<br />• Testes para Amostras Emparelhadas<br />• Análise de Componentes Principais<br />• Análise Factorial e Análise de Clusters<br />• Escalonamento Multidimensional</span><br /><span class="color_11" style="border: 0px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">• Análise Di</span></span></span><span class="font_5" style="border: 0px; font-family: 'Open Sans', sans-serif; line-height: 1.2em; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span class="bold" style="border: 0px; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span class="color_11" style="border: 0px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span class="italic" style="border: 0px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">scriminante<br />• Regressão Linear e Regressão Logísitca<br />• Modelos Lineares Hierárquicos<br />• Modelo de Equações Estruturais - AMOS<br />• Tratamento Estatístico de Pequenas Amostras<br />• Análises Univariadas e Multivariadas, ...</span></span></span></span></span></span></div>
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<span style="background-color: #fdfdfd; color: #379acf; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif;"><span style="font-size: x-large;"><b><a href="http://spss4estatistica.wix.com/spss">http://spss4estatistica.wix.com/spss</a></b></span></span></div>
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Unknownnoreply@blogger.com0Coimbra, Portugal40.2023788 -8.4471559999999540.0084113 -8.76987949999995 40.3963463 -8.12443249999995tag:blogger.com,1999:blog-3527424873368610132.post-8803562755220852492013-05-08T18:43:00.002+01:002013-05-08T19:00:21.996+01:00SPSS - Tratamento Estatístico de Dados<div dir="ltr" style="text-align: left;" trbidi="on">
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<a href="http://1.bp.blogspot.com/-Ld3_TT0dAsM/UYqOCP_3W3I/AAAAAAAAAbU/SCp9JAiKJKQ/s1600/SPSS+39.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="156" src="http://1.bp.blogspot.com/-Ld3_TT0dAsM/UYqOCP_3W3I/AAAAAAAAAbU/SCp9JAiKJKQ/s200/SPSS+39.jpg" width="200" /></a></div>
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<span style="color: blue; font-family: 'Open Sans', sans-serif; font-size: 23px; font-style: italic; font-weight: bold; line-height: 27.59375px; text-align: center;">Ajuda Especializada nas áreas de </span><span style="color: blue; font-family: 'Open Sans', sans-serif; font-size: 23px; font-style: italic; font-weight: bold; line-height: 27.59375px; text-align: center;">Ciências Médicas, Sociais, Humanas, Psicologia, Gestão, Finanças, Engenharia, Economia, ...</span></div>
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<a href="http://spss4estatistica.wix.com/spss" style="font-family: 'Open Sans', sans-serif; font-size: 23px; line-height: 1.2em;" target="_blank">Tratamento de Dados</a></div>
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<span class="font_6" style="border: 0px; font-family: 'Open Sans', sans-serif; font-size: 20px; line-height: 1.2em; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span class="bold" style="border: 0px; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span class="color_11" style="border: 0px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="color: blue;"></span></span></span></span></div>
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<span class="font_6" style="border: 0px; font-family: 'Open Sans', sans-serif; font-size: 20px; line-height: 1.2em; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span class="bold" style="border: 0px; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span class="color_11" style="border: 0px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="color: blue;">Concepção de Questionários</span></span></span></span></div>
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<span class="font_6" style="border: 0px; font-family: 'Open Sans', sans-serif; font-size: 20px; line-height: 1.2em; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span class="bold" style="border: 0px; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span class="color_11" style="border: 0px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="color: blue;"><br />Elaboração e/ou Preenchimento de Bases de Dados</span></span></span></span></div>
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<span class="font_6" style="border: 0px; font-family: 'Open Sans', sans-serif; font-size: 20px; line-height: 1.2em; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span class="bold" style="border: 0px; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span class="color_11" style="border: 0px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="color: blue;"><br />Apoio na Planificação do Design de Investigação</span></span></span></span></div>
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<span class="font_6" style="border: 0px; font-family: 'Open Sans', sans-serif; font-size: 20px; line-height: 1.2em; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span class="bold" style="border: 0px; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span class="color_11" style="border: 0px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="color: blue;"></span></span></span></span></div>
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<div class="alignCenter" style="border: 0px; font-family: Arial, Helvetica, sans-serif; font-size: 10px; outline: 0px; padding: 0px; text-align: center; vertical-align: baseline;">
<span class="font_6" style="border: 0px; font-family: 'Open Sans', sans-serif; font-size: 20px; line-height: 1.2em; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span class="color_11" style="border: 0px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span class="bold" style="border: 0px; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="color: blue;">Determinação do Tamanho da Amostra</span></span></span></span></div>
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<a href="http://spss4estatistica.wix.com/spss" style="background-color: #fdfdfd; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; text-align: left;"><span style="font-size: x-large;"><b>http://spss4estatistica.wix.com/spss</b></span></a></div>
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Unknownnoreply@blogger.com0Coimbra, Portugal40.2023788 -8.4471559999999540.0084113 -8.76987949999995 40.3963463 -8.12443249999995tag:blogger.com,1999:blog-3527424873368610132.post-76391883416255610522013-03-20T00:16:00.001+00:002013-03-20T23:07:43.285+00:00Ficha de Trabalho - 7º ano<div dir="ltr" style="text-align: left;" trbidi="on">
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<a href="http://1.bp.blogspot.com/-0UhpwWHr0XI/UUj-tB0sdYI/AAAAAAAAAZA/li5BTzEWeIY/s1600/Equa%C3%A7%C3%B5es+do+1%C2%BA+grau.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="http://1.bp.blogspot.com/-0UhpwWHr0XI/UUj-tB0sdYI/AAAAAAAAAZA/li5BTzEWeIY/s640/Equa%C3%A7%C3%B5es+do+1%C2%BA+grau.png" width="451" /></a></div>
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<br /></div>
<div style="text-align: center;">
<span style="font-size: large;"> Também disponível <a href="http://dl.dropbox.com/u/30493784/Equa%C3%A7%C3%B5es%20do%201%C2%BA%20grau%20-%207%C2%BA%20ano.pdf" target="_blank">aqui.</a></span></div>
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Unknownnoreply@blogger.com0Coimbra, Portugal40.2023788 -8.4471559999999540.0084113 -8.76987949999995 40.3963463 -8.12443249999995tag:blogger.com,1999:blog-3527424873368610132.post-80079749797805140142013-03-01T12:26:00.000+00:002013-03-01T12:26:56.733+00:00Teste Intermédio 12º ano<div dir="ltr" style="text-align: left;" trbidi="on">
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<a href="http://2.bp.blogspot.com/-eiyc6XhJVEE/UTCeH6t7rRI/AAAAAAAAAYM/dAVXwxYTd7I/s1600/alfabeto+num+guardanapo.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" height="132" src="http://2.bp.blogspot.com/-eiyc6XhJVEE/UTCeH6t7rRI/AAAAAAAAAYM/dAVXwxYTd7I/s200/alfabeto+num+guardanapo.jpg" width="200" /></a></div>
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<span style="color: blue; font-size: large;"><b>28 de Fevereiro de 2013</b></span></div>
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<li style="text-align: justify;"><span style="color: blue; font-size: large;"><a href="http://dl.dropbox.com/u/30493784/TI_MatA12_Fev2013_V1.pdf" target="_blank">Enunciado</a> da Versão 1;</span></li>
<li style="text-align: justify;"><span style="color: blue; font-size: large;"><a href="http://dl.dropbox.com/u/30493784/TI_MatA12_Fev2013_V1_RS.pdf" target="_blank">Resolução</a> da Versão 1:</span></li>
<li style="text-align: justify;"><span style="color: blue; font-size: large;"><a href="http://dl.dropbox.com/u/30493784/TI_MatA12_Fev2013_V1_CC.pdf" target="_blank">Critérios de Correcção</a> de Versão 1;</span></li>
</ul>
<div style="text-align: center;">
<span style="color: blue; font-size: large;"><a href="http://cadernosdematematica.blogspot.pt/">http://cadernosdematematica.blogspot.pt</a></span></div>
</div>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-3527424873368610132.post-42258019226457210062013-03-01T11:30:00.000+00:002013-03-01T11:30:03.757+00:00Polinómio de Taylor<div dir="ltr" style="text-align: left;" trbidi="on">
<span style="color: blue; font-size: large;">Para quem pediu, aqui vai.</span><br />
<span style="color: blue; font-size: large;">Se quiserem uma proposta de resolução, já sabem, </span><br />
<div style="text-align: center;">
<span style="color: blue; font-size: large;"><a href="http://cadernosdematematica.blogspot.pt/p/contactos.html" target="_blank"><b>contactem-me</b></a>.</span></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="http://2.bp.blogspot.com/-r3opjnej9SI/UTCOjLRStcI/AAAAAAAAAX8/D3GgHOd7h98/s1600/Polin%C3%B3mio+de+Taylor.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="http://2.bp.blogspot.com/-r3opjnej9SI/UTCOjLRStcI/AAAAAAAAAX8/D3GgHOd7h98/s640/Polin%C3%B3mio+de+Taylor.png" width="452" /></a></div>
<div style="text-align: center;">
<span style="color: blue; font-size: large;">Se preferirem, está<b><a href="http://dl.dropbox.com/u/30493784/Exerc%C3%ADcios%20sobre%20Polin%C3%B3mio%20de%20Taylor.pdf" target="_blank"> aqui</a> </b>disponível, também.</span></div>
<div style="text-align: center;">
<span style="color: blue; font-size: large;">Bom trabalho !!!</span></div>
<div style="text-align: center;">
<span style="color: blue; font-size: large;"><br /></span></div>
<div style="text-align: center;">
<a href="http://cadernosdematematica.blogspot.pt/"><span style="color: purple; font-size: large;"><b>http://cadernosdematematica.blogspot.pt</b></span></a></div>
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Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-3527424873368610132.post-14154861701192180142013-02-28T12:17:00.002+00:002013-02-28T12:23:33.724+00:00Limites<div dir="ltr" style="text-align: left;" trbidi="on">
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<h2>
<span style="color: blue; font-family: Verdana, sans-serif; font-size: x-large;"> Mini-teste </span></h2>
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<span style="color: blue; font-family: Verdana, sans-serif; font-size: x-large;"> Análise Matemática II</span></h2>
<h2>
<span style="color: blue; font-size: x-large;">Eng.ª Civil - F.C.T.U.C. </span></h2>
<h2>
<span style="color: blue; font-size: x-large;">Fevereiro de 2013</span></h2>
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<a href="http://3.bp.blogspot.com/-WREMFG6cdWI/US9KmkiRJTI/AAAAAAAAAXs/oxN5wXctjnc/s1600/LImites+v%C3%A1ras+vari%C3%A1veis_01.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="http://3.bp.blogspot.com/-WREMFG6cdWI/US9KmkiRJTI/AAAAAAAAAXs/oxN5wXctjnc/s640/LImites+v%C3%A1ras+vari%C3%A1veis_01.png" width="452" /></a></div>
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</span></h4>
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<div style="text-align: center;">
<a href="http://cadernosdematematica.blogspot.pt/" target="_blank"><span style="font-size: x-large;">http://cadernosdematematica.blogspot.pt/</span></a></div>
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Unknownnoreply@blogger.com0Coimbra, Portugal40.2023788 -8.4471559999999540.0084113 -8.76987949999995 40.3963463 -8.12443249999995tag:blogger.com,1999:blog-3527424873368610132.post-16882295263653954212013-02-25T11:44:00.001+00:002013-02-25T11:52:05.832+00:00A propósito da injectividade<div dir="ltr" style="text-align: left;" trbidi="on">
<div style="text-align: justify;">
<span style="color: blue; font-size: large;">ou se preferirmos, da não injectividade de uma função real de variável real, muito se tem dito e escrito.</span></div>
<div style="text-align: justify;">
<span style="color: blue; font-size: large;">A questão, que não é de opinião, tem sido abordada das mais diversas formas.</span></div>
<div style="text-align: justify;">
<span style="color: blue; font-size: large;"><a href="http://dl.dropbox.com/u/30493784/Teste%2010%20de%20janeiro.pdf" target="_blank">Neste teste</a>, a propósito da questão 3(b), relativa à existência ou não de injectividade, alguém escreveu <a href="http://dl.dropbox.com/u/30493784/Correccao_Teste_10jan2013.pdf" target="_blank">assim</a>.</span></div>
<div style="text-align: justify;">
<span style="color: blue; font-size: large;">Trata-se de um lapso, concerteza. </span></div>
<div style="text-align: justify;">
<span style="color: blue; font-size: large;">A função é de facto não injectiva, mas a justificação é outra.</span></div>
<div style="text-align: justify;">
<span style="color: blue; font-size: large;">A função é não injectiva pois existem, no domínio de <i>f</i>, objectos diferentes que têm imagens iguais. Assim, por exemplo, </span></div>
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<span style="color: blue; font-size: large; margin-left: 1em; margin-right: 1em;"><a href="http://3.bp.blogspot.com/-9PspffiQsx4/UStLOob4QBI/AAAAAAAAAXc/uwU1ZOcZTbI/s1600/injectividade.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="86" src="http://3.bp.blogspot.com/-9PspffiQsx4/UStLOob4QBI/AAAAAAAAAXc/uwU1ZOcZTbI/s320/injectividade.png" width="320" /></a></span></div>
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<span style="color: blue; font-size: large;">É uma pequena diferença que, em termos lógicos, faz toda a diferença !!! ...</span></div>
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<span style="color: blue; font-size: large;"><strong>http://cadernosdematematica.blogspot.com/</strong></span><br />
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Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-3527424873368610132.post-63696597633912776842013-02-05T23:36:00.000+00:002013-02-05T23:40:03.235+00:00Mais um desafio ...<div dir="ltr" style="text-align: left;" trbidi="on">
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<a href="http://3.bp.blogspot.com/-pDoU2RPzTMg/URGW48-3N4I/AAAAAAAAAXM/sCvC5tevEqs/s1600/desafio+casio.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="http://3.bp.blogspot.com/-pDoU2RPzTMg/URGW48-3N4I/AAAAAAAAAXM/sCvC5tevEqs/s400/desafio+casio.png" width="400" /></a></div>
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<strong style="color: blue; font-size: x-large;">http://cadernosdematematica.blogspot.com/</strong></h4>
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Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-3527424873368610132.post-22247755480370487792013-01-30T19:28:00.000+00:002013-01-30T19:28:03.408+00:00Os Professores<div dir="ltr" style="text-align: left;" trbidi="on">
<h4 style="text-align: center;">
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<i><span style="background-color: white;"><span style="color: blue;"><b><span style="font-family: Verdana, Tahoma, Arial, Helvetica, sans-serif; font-size: 13px; line-height: 20px;">"<a href="http://edicoespqp.blogs.sapo.pt/2015566.html" target="_blank">E um país que forma os seus cidadãos</a> e depois os exporta sem piedade e por qualquer preço é um país que enlouqueceu. Um país que não se ocupa com a delicada tarefa de educar, não serve para nada</span><span style="font-family: Verdana, Tahoma, Arial, Helvetica, sans-serif; font-size: 13px; line-height: 20px;">."</span></b></span></span></i></h4>
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<i><span style="background-color: white;"><span style="color: blue;"><b><span style="font-family: Verdana, Tahoma, Arial, Helvetica, sans-serif; font-size: 13px; line-height: 20px;">Valter Hugo Mãe</span></b></span></span></i></div>
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Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-3527424873368610132.post-48820261861517880912013-01-20T01:59:00.001+00:002013-01-20T02:03:11.066+00:00Ilusão do Telhado Impossível<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="color: blue; font-size: large;"><b>Nem tudo o que se vê é verdade;</b></span><br />
<span style="color: blue; font-size: large;"><b> nem tudo o que é verdade se vê !!!</b></span></div>
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Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-3527424873368610132.post-8365181561212102792013-01-17T19:07:00.001+00:002013-01-18T10:17:03.532+00:00Inês, <div dir="ltr" style="text-align: left;" trbidi="on">
<b style="background-color: white;"><span style="color: blue; font-size: large;">queres mesmo saber porque é que eu acho que é muito importante estudar matemática ?</span></b><br />
<b style="background-color: white;"><span style="color: blue; font-size: large;">Aqui vai a resposta, então.</span></b><br />
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<span style="color: blue; font-size: large;">Como vês, não é "mania" minha !!! ...</span><br />
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Unknownnoreply@blogger.com2tag:blogger.com,1999:blog-3527424873368610132.post-70545985315488419102012-04-07T00:11:00.004+01:002012-04-07T13:31:35.143+01:00O dia de Páscoa<div dir="ltr" style="text-align: left;" trbidi="on"><br />
<div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; text-align: justify;"><a href="http://4.bp.blogspot.com/-Ry8bQHrxOiw/T393UDAOGoI/AAAAAAAAARU/tSMhUxOe7BY/s1600/%C3%B3vos.jpg" imageanchor="1" style="clear: right; cssfloat: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" nda="true" src="http://4.bp.blogspot.com/-Ry8bQHrxOiw/T393UDAOGoI/AAAAAAAAARU/tSMhUxOe7BY/s1600/%C3%B3vos.jpg" /></a><span style="color: blue; font-size: large;">A Páscoa é uma festa móvel. A sua data varia de ano para ano e depende da primeira lua cheia após o Equinócio da Primavera.</span></div><div style="text-align: justify;"><span style="color: blue; font-size: large;">Do cálculo do dia em que acontece a Páscoa depende o <strong>Carnaval </strong>(47 dias antes da Páscoa) e a quinta feira do<strong> Corpo de Deus</strong> (60 dias depois da Páscoa).</span></div><span style="color: blue;"></span><br />
<div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; text-align: justify;"><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><a href="http://1.bp.blogspot.com/-l-n17Zar_2E/T393hCtj-RI/AAAAAAAAARk/O_IGtyXxEAs/s1600/gauss+2.jpg" imageanchor="1" style="clear: left; cssfloat: right; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="142px" nda="true" src="http://1.bp.blogspot.com/-l-n17Zar_2E/T393hCtj-RI/AAAAAAAAARk/O_IGtyXxEAs/s200/gauss+2.jpg" width="200px" /></a><span style="color: blue; font-size: large;">O algoritmo mais utilizado que permite determinar o dia em que calha o Domingo de Páscoa deve-se a<em><strong> Karl Friederich Gauss</strong></em>.</span></div></div><div style="text-align: justify;"><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><span style="color: blue; font-size: large;"> Este grande matemático, astrónomo e físico (1777-1855) deixou uma vasta e importante obra como o ínicio da Análise Matemática, o método dos mínimos quadrados, a lei de Gauss, a descoberta de Ceres (que todos pensavam ser um cometa), bem como a invenção de vários dispositivos (como um aparelho que permitia a observação de pequenos astros), entre muitos outros.</span></div></div><div class="separator" style="clear: both; text-align: center;"><a href="http://4.bp.blogspot.com/-S2ckJu9WFgQ/T393b3KIM2I/AAAAAAAAARc/6_Fy6Ajs-o4/s1600/gauss.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="104px" nda="true" src="http://4.bp.blogspot.com/-S2ckJu9WFgQ/T393b3KIM2I/AAAAAAAAARc/6_Fy6Ajs-o4/s200/gauss.jpg" width="200px" /></a></div><div style="text-align: justify;"><span style="color: blue; font-size: large;">O método de <em><strong>Gauss</strong></em> para a determinação do dia em que calha o Domingo de Páscoa é muito simples e não envolve mais do que o cálculo de restos de divisões inteiras. Esta é a fórmula válida para todos os domingos de Páscoa entre 1900 e 2099.</span></div><span style="color: blue;"></span><br />
<div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; text-align: justify;"><span style="color: blue; font-size: large;">Procede-se então do seguinte modo:</span><span style="color: blue;"> </span><br />
<ul style="text-align: left;"><li><div style="text-align: justify;"><span style="color: blue; font-size: large;">Começa-se por determinar o resto da divisão por 4 do número correspondente ao ano. Chamemos-lhe <strong>A</strong>;</span></div></li>
<li><div style="text-align: justify;"><span style="color: blue; font-size: large;">De seguida determina-se <strong>B</strong>, resto da divisão do ano por 7;</span></div></li>
<li><div style="text-align: justify;"><span style="color: blue; font-size: large;">Depois, determina-se <strong>C</strong>, resto da divisão do ano por 19;</span></div></li>
<li><div style="text-align: justify;"><span style="color: blue; font-size: large;">Calcula-se 19xC+24, divide-se o número obtido por 30 e designa-se por <strong>D</strong> o resto;</span></div></li>
<li><div style="text-align: justify;"><span style="color: blue; font-size: large;">Finalmente calcula-se <strong>E</strong>, o resto da divisão de <strong>2A+4B+6D+5</strong> por 7;</span></div></li>
<li><div style="text-align: justify;"><span style="color: blue; font-size: large;">Soma-se <strong>D</strong> com <strong>E;</strong></span></div></li>
<li><div style="text-align: justify;"><span style="color: blue; font-size: large;">Se <strong>D+E≤9</strong>, então a Páscoa calha a <strong>22+D+E</strong> de <strong>Março</strong>; Se <strong>D+E>9</strong>, então a Páscoa calha a <strong>D+E-9</strong> de <strong>Abril.</strong></span></div></li>
</ul><div style="text-align: justify;"><span style="color: blue; font-size: large;">Neste processo deve ter-se ainda em conta o seguinte:</span></div><span style="color: blue;"></span><br />
<ul style="text-align: left;"><li><div style="text-align: justify;"><span style="color: blue; font-size: large;">Se <strong>D=28</strong>, <strong>E=6</strong> e <strong>C>10</strong> então a Páscoa é no dia <strong>18 de Abril</strong> (e não a 25 de Abril);</span></div></li>
<li><div style="text-align: justify;"><span style="color: blue; font-size: large;">Se <strong>D+E=35</strong> então é em <strong>19 de Abril</strong> (e não a 26 de Abril).</span></div></li>
</ul><div style="text-align: justify;"><span style="color: blue; font-size: large;">Assim,<em><strong> Gauss</strong></em> "explicou-nos" que o dia de Páscoa cairá sempre num dia entre 22 de Março e 25 de Abril.</span></div><br />
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</div><span style="font-size: large;"></span></div>Unknownnoreply@blogger.com0Coimbra, Portugal40.211491 -8.4292014000000140.084961 -8.5685744000000117 40.338021000000005 -8.28982840000001tag:blogger.com,1999:blog-3527424873368610132.post-23378066448963977862012-03-22T18:31:00.003+00:002012-03-22T18:36:24.286+00:00Explicações de Matemática<div dir="ltr" style="text-align: left;" trbidi="on"><div style="text-align: center;"><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-_RK4R6G11X0/T2tv_k1UVUI/AAAAAAAAAQg/ct53XpmSXDI/s1600/DMUC.jpeg" imageanchor="1" style="cssfloat: right; margin-left: 1em; margin-right: 1em;"><img aea="true" border="0" height="245px" src="http://2.bp.blogspot.com/-_RK4R6G11X0/T2tv_k1UVUI/AAAAAAAAAQg/ct53XpmSXDI/s400/DMUC.jpeg" width="400px" /></a></div><span style="color: blue; font-size: x-large;">Ensino Superior - Matemática </span></div></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; text-align: center;"><br />
</div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; text-align: center;"><span style="color: blue; font-size: large;"><strong>Análise Infinitesimal</strong></span></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; text-align: center;"><span style="color: blue; font-size: large;"><strong> I, II, III, IV</strong></span></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; text-align: center;"><strong><span style="color: blue; font-size: large;">Corpos e Equações Algébricas</span></strong></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; text-align: center;"><span style="color: blue; font-size: large;"><strong>Curvas e Superfícies</strong></span></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; text-align: center;"><span style="color: blue; font-size: large;"><strong>Estatística Computacional</strong></span></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; text-align: center;"><span style="color: blue; font-size: large;"><strong>Probabilidades</strong></span></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; text-align: center;"><strong><span style="color: blue; font-size: large;">Estatística</span></strong></div><div style="text-align: center;"><strong><span style="color: blue; font-size: large;">Análise Numérica</span></strong></div><div style="text-align: center;"><strong><span style="color: blue; font-size: large;">Teoria de Números</span></strong></div><div style="text-align: center;"><strong><span style="color: blue; font-size: large;">Equações Diferenciais</span></strong></div><div style="text-align: center;"><span style="color: blue;"><strong>...</strong></span></div><br />
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</span></div></div>Unknownnoreply@blogger.com0Coimbra, Portugal40.211491 -8.4292014000000140.084961 -8.5685744000000117 40.338021000000005 -8.28982840000001tag:blogger.com,1999:blog-3527424873368610132.post-6931231717901792372012-03-22T09:10:00.001+00:002012-03-22T09:20:30.984+00:00Juro Composto (Parte II)<div dir="ltr" style="text-align: left;" trbidi="on"><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-qWH6hPla830/T2rsFXcHA_I/AAAAAAAAAQA/kISyUDSPiLU/s1600/Juro+composto.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img aea="true" border="0" height="640px" src="http://2.bp.blogspot.com/-qWH6hPla830/T2rsFXcHA_I/AAAAAAAAAQA/kISyUDSPiLU/s640/Juro+composto.JPG" width="464px" /></a></div><div style="text-align: center;"><a href="http://cadernosdematematica.blogspot.com/"><strong><span style="color: #322299; font-size: large;">http://cadernosdematematica.blogspot.com/</span></strong></a></div><div style="text-align: center;"><br />
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