{"id":25528,"date":"2023-05-05T16:45:10","date_gmt":"2023-05-05T15:45:10","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=25528"},"modified":"2023-05-07T22:54:00","modified_gmt":"2023-05-07T21:54:00","slug":"paralelepipedos-com-numeros","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=25528","title":{"rendered":"Paralelep\u00edpedos com n\u00fameros"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_25528' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_25528' class='GTTabs_curr'><a  id=\"25528_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_25528' ><a  id=\"25528_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_25528'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Na constru\u00e7\u00e3o seguinte, cada n\u00famero \u00e9 a soma dos dois n\u00fameros que est\u00e3o nas casas imediatamente abaixo.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag186-T1.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25529\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25529\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag186-T1.png\" data-orig-size=\"372,279\" 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_Pag186-T1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag186-T1.png\" class=\"aligncenter wp-image-25529\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag186-T1-300x225.png\" alt=\"\" width=\"320\" height=\"240\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag186-T1-300x225.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag186-T1.png 372w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><\/p>\n<ol>\n<li>Escreve uma equa\u00e7\u00e3o que te permita determinar o valor de <em>x<\/em>.<\/li>\n<li>Qual \u00e9 o primeiro membro desta equa\u00e7\u00e3o? E o 2.\u00ba?<\/li>\n<li>Que termos constituem o 1.\u00ba membro? E o 2.\u00ba?<\/li>\n<li>Determina o valor de x.<\/li>\n<li>Classifica a equa\u00e7\u00e3o obtida em 1.<\/li>\n<li>Qual \u00e9 o n\u00famero que est\u00e1 no cimo da constru\u00e7\u00e3o?<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_25528' onClick='GTTabs_show(1,25528)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_25528'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Na constru\u00e7\u00e3o seguinte, cada n\u00famero \u00e9 a soma dos dois n\u00fameros que est\u00e3o nas casas imediatamente abaixo.<\/p>\n<\/blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag186-T1.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25529\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25529\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag186-T1.png\" data-orig-size=\"372,279\" 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_Pag186-T1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag186-T1.png\" class=\"aligncenter wp-image-25529\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag186-T1-300x225.png\" alt=\"\" width=\"320\" height=\"240\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag186-T1-300x225.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag186-T1.png 372w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><\/p>\n<p>\u00a0<\/p>\n<ol>\n<li>Uma equa\u00e7\u00e3o que permite determinar o valor de <em>x<\/em> \u00e9:<br \/>\\[{ &#8211; 17 + \\frac{3}{2}x &#8211; 2 = 2}\\]<\/li>\n<li>O primeiro membro desta equa\u00e7\u00e3o \u00e9: \\({ &#8211; 17 + \\frac{3}{2}x &#8211; 2}\\).<br \/>E o 2.\u00ba membro \u00e9: \\(2\\).<br \/><br \/><\/li>\n<li>Constituem o 1.\u00ba membro os seguintes termos: \\({ &#8211; 17}\\), \\({\\frac{3}{2}x}\\) e \\({ &#8211; 2}\\).<br \/>E o 2.\u00ba membro \u00e9 constitu\u00eddo apenas por um termo: \\(2\\).<br \/><br \/><\/li>\n<li>Apresenta-se a determina\u00e7\u00e3o do valor de <em>x<\/em>:<br \/>\\[\\begin{array}{*{20}{l}}{ &#8211; 17 + \\frac{3}{2}x &#8211; 2 = 2}&amp; \\Leftrightarrow &amp;{ &#8211; 34 + 3x &#8211; 4 = 4}\\\\{}&amp; \\Leftrightarrow &amp;{3x = 42}\\\\{}&amp; \\Leftrightarrow &amp;{x = 14}\\end{array}\\]<\/li>\n<li>A equa\u00e7\u00e3o obtida em 1. \u00e9 poss\u00edvel e determinada.<br \/><br \/><\/li>\n<li>O n\u00famero que est\u00e1 no cimo da constru\u00e7\u00e3o \u00e9 \\( &#8211; 12\\).<br \/>Partindo de \\({x = 14}\\), obt\u00e9m-se sucessivamente:<\/li>\n<\/ol>\n<p><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25545\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25545\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag186-T1_2.png\" data-orig-size=\"1060,50\" 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_Pag186-T1_2\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag186-T1_2-1024x48.png\" class=\"aligncenter wp-image-25545\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag186-T1_2-300x14.png\" alt=\"\" width=\"580\" height=\"27\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag186-T1_2-300x14.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag186-T1_2-1024x48.png 1024w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag186-T1_2-768x36.png 768w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag186-T1_2.png 1060w\" sizes=\"auto, (max-width: 580px) 100vw, 580px\" \/><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_25528' onClick='GTTabs_show(0,25528)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Na constru\u00e7\u00e3o seguinte, cada n\u00famero \u00e9 a soma dos dois n\u00fameros que est\u00e3o nas casas imediatamente abaixo. Escreve uma equa\u00e7\u00e3o que te permita determinar o valor de x. Qual \u00e9 o&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":25530,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,714],"tags":[424,701],"series":[],"class_list":["post-25528","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-equacoes-literais-e-sistemas","tag-8-o-ano","tag-equacao-do-1-o-grau"],"views":74,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag186-T1_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25528","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=25528"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25528\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/25530"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25528"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=25528"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=25528"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=25528"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}