{"id":23167,"date":"2022-11-18T23:56:57","date_gmt":"2022-11-18T23:56:57","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=23167"},"modified":"2022-11-24T19:32:29","modified_gmt":"2022-11-24T19:32:29","slug":"o-teste-de-matematica","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=23167","title":{"rendered":"O teste de Matem\u00e1tica"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_23167' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_23167' class='GTTabs_curr'><a  id=\"23167_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_23167' ><a  id=\"23167_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_23167'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag054-T6.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23169\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23169\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag054-T6.png\" data-orig-size=\"302,245\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag054-T6\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag054-T6.png\" class=\"alignright wp-image-23169\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag054-T6-300x243.png\" alt=\"\" width=\"320\" height=\"260\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag054-T6-300x243.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag054-T6.png 302w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a>Num teste de Matem\u00e1tica, realizado pelo V\u00edtor e pela Rita, apresentava-se a seguinte quest\u00e3o:<\/p>\n<ol>\n<li>O V\u00edtor escolheu a op\u00e7\u00e3o <strong>A<\/strong>. Verifica se o V\u00edtor respondeu corretamente. Apresenta todos os c\u00e1lculos que efetuares.<\/li>\n<li>A Rita n\u00e3o conseguiu calcular a medida do comprimento da hipotenusa mas, mesmo assim, conseguiu eliminar cada uma das op\u00e7\u00f5es erradas. Indica uma raz\u00e3o que a Rita possa ter utilizado para eliminar a op\u00e7\u00e3o <strong>B<\/strong> e outra raz\u00e3o para eliminar a op\u00e7\u00e3o <strong>C<\/strong>.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_23167' onClick='GTTabs_show(1,23167)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_23167'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag054-T6.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23169\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23169\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag054-T6.png\" data-orig-size=\"302,245\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag054-T6\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag054-T6.png\" class=\"alignright wp-image-23169\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag054-T6-300x243.png\" alt=\"\" width=\"320\" height=\"260\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag054-T6-300x243.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag054-T6.png 302w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a>Num teste de Matem\u00e1tica, realizado pelo V\u00edtor e pela Rita, apresentava-se a seguinte quest\u00e3o:<\/p>\n<\/blockquote>\n<ol>\n<li>\n<blockquote>O V\u00edtor escolheu a op\u00e7\u00e3o <strong>A<\/strong>. Verifica se o V\u00edtor respondeu corretamente. Apresenta todos os c\u00e1lculos que efetuares.<\/blockquote>\n<\/li>\n<li>\n<blockquote>A Rita n\u00e3o conseguiu calcular a medida do comprimento da hipotenusa mas, mesmo assim, conseguiu eliminar cada uma das op\u00e7\u00f5es erradas. Indica uma raz\u00e3o que a Rita possa ter utilizado para eliminar a op\u00e7\u00e3o <strong>B<\/strong> e outra raz\u00e3o para eliminar a op\u00e7\u00e3o <strong>C<\/strong>.<\/blockquote>\n<\/li>\n<\/ol>\n<p>\u00a0<\/p>\n<ol>\n<li>A medida do comprimento da hipotenusa \u00e9 \\(c = \\sqrt {{3^2} + {6^2}} = \\sqrt {9 + 36} = \\sqrt {45} \\).<br \/>Portanto, o V\u00edtor respondeu corretamente.<br \/><br \/><\/li>\n<li>Como a hipotenusa \u00e9 o maior lado do tri\u00e2ngulo ret\u00e2ngulo, a Rita podia ter eliminado a op\u00e7\u00e3o <strong>B<\/strong> (quer a <strong>D<\/strong>).<br \/>A op\u00e7\u00e3o <strong>C<\/strong> tamb\u00e9m n\u00e3o pode ser, pois qualquer lado de um tri\u00e2ngulo \u00e9 menor do que a soma dos outros dois.<\/li>\n<\/ol>\n<p>\u00a0<\/p>\n<p>Nota:<\/p>\n<p>O valor da op\u00e7\u00e3o D \u00e9 inferior ao valor da op\u00e7\u00e3o B.<br \/>Com efeito, sabe-se:<\/p>\n<p>\\[\\begin{array}{*{20}{c}}{\\sqrt {16} &lt; \\sqrt {18} &lt; \\sqrt {25} }\\\\{4 &lt; \\sqrt {18} &lt; 5}\\end{array}\\]<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_23167' onClick='GTTabs_show(0,23167)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Num teste de Matem\u00e1tica, realizado pelo V\u00edtor e pela Rita, apresentava-se a seguinte quest\u00e3o: O V\u00edtor escolheu a op\u00e7\u00e3o A. Verifica se o V\u00edtor respondeu corretamente. Apresenta todos os c\u00e1lculos que&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":23171,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,682],"tags":[424,118],"series":[],"class_list":["post-23167","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-teorema-de-pitagoras","tag-8-o-ano","tag-teorema-de-pitagoras"],"views":167,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag054-T6_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23167","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=23167"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23167\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/23171"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=23167"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=23167"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=23167"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=23167"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}