{"id":23362,"date":"2022-11-24T22:30:19","date_gmt":"2022-11-24T22:30:19","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=23362"},"modified":"2022-12-06T08:19:39","modified_gmt":"2022-12-06T08:19:39","slug":"as-abcissas-dos-pontos-a-b-c-d-e-f-e-g","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=23362","title":{"rendered":"As abcissas dos pontos A, B, C, D, E, F e G"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_23362' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_23362' class='GTTabs_curr'><a  id=\"23362_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_23362' ><a  id=\"23362_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_23362'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Indica as abcissas dos pontos A, B, C, D, E, F e G representados na reta num\u00e9rica seguinte.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag061-3.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23363\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23363\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag061-3.png\" data-orig-size=\"489,239\" 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_Pag061-3\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag061-3.png\" class=\"aligncenter wp-image-23363\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag061-3-300x147.png\" alt=\"\" width=\"420\" height=\"205\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag061-3-300x147.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag061-3.png 489w\" sizes=\"auto, (max-width: 420px) 100vw, 420px\" \/><\/a><\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_23362' onClick='GTTabs_show(1,23362)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_23362'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>As abcissas dos pontos A, B, C, D, E, F e G, representados na reta num\u00e9rica seguinte, est\u00e3o indicadas abaixo.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag061-3.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23363\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23363\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag061-3.png\" data-orig-size=\"489,239\" 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_Pag061-3\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag061-3.png\" class=\"aligncenter wp-image-23363\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag061-3-300x147.png\" alt=\"\" width=\"420\" height=\"205\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag061-3-300x147.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag061-3.png 489w\" sizes=\"auto, (max-width: 420px) 100vw, 420px\" \/><\/a><\/p>\n<p>\u00a0<\/p>\n<table style=\"border-collapse: collapse;\">\n<tbody>\n<tr>\n<td><strong>Ponto<\/strong><\/td>\n<td><strong>Abcissa<\/strong><\/td>\n<td><strong>Explica\u00e7\u00e3o<\/strong><\/td>\n<\/tr>\n<tr>\n<td>A<\/td>\n<td>\\( &#8211; 1\\)<\/td>\n<td style=\"text-align: left;\">\u00c9 dispens\u00e1vel.<\/td>\n<\/tr>\n<tr>\n<td>B<\/td>\n<td>\\(2\\)<\/td>\n<td style=\"text-align: left;\">\u00c9 dispens\u00e1vel.<\/td>\n<\/tr>\n<tr>\n<td>C<\/td>\n<td>\\(0,8\\)<\/td>\n<td style=\"text-align: left;\">\u00c9 dispens\u00e1vel.<\/td>\n<\/tr>\n<tr>\n<td>D<\/td>\n<td>\\(\\sqrt 8 \\)<\/td>\n<td style=\"text-align: left;\">O arco utilizado para marcar o ponto D tem centro na origem e raio \\({h_1} = \\sqrt {{2^2} + {2^2}} = \\sqrt 8 \\).<\/td>\n<\/tr>\n<tr>\n<td>E<\/td>\n<td>\\( &#8211; \\sqrt {13} \\)<\/td>\n<td style=\"text-align: left;\">O arco utilizado para marcar o ponto E tem centro na origem e raio \\({h_2} = \\sqrt {{3^2} + {2^2}} = \\sqrt {13} \\).<\/td>\n<\/tr>\n<tr>\n<td>F<\/td>\n<td>\\(2 + \\sqrt 5 \\)<\/td>\n<td style=\"text-align: left;\">O arco utilizado para marcar o ponto F tem centro no ponto de abcissa \\(2\\) e raio \\({h_3} = \\sqrt {{1^2} + {2^2}} = \\sqrt 5 \\).<\/td>\n<\/tr>\n<tr>\n<td>G<\/td>\n<td>\\( &#8211; 3 + \\sqrt 2 \\)<\/td>\n<td style=\"text-align: left;\">O arco utilizado para marcar o ponto G tem centro no ponto de abcissa \\( &#8211; 3\\) e raio \\({h_4} = \\sqrt {{1^2} + {1^2}} = \\sqrt 2 \\).<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u00a0<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_23362' onClick='GTTabs_show(0,23362)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Indica as abcissas dos pontos A, B, C, D, E, F e G representados na reta num\u00e9rica seguinte. Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":23364,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,682],"tags":[424,67,259,266,118],"series":[],"class_list":["post-23362","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-geometria","tag-numeros-irracionais","tag-numeros-reais","tag-teorema-de-pitagoras"],"views":259,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag061-3_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23362","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=23362"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23362\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/23364"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=23362"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=23362"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=23362"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=23362"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}