{"id":24470,"date":"2023-02-17T10:25:34","date_gmt":"2023-02-17T10:25:34","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=24470"},"modified":"2023-02-17T10:53:09","modified_gmt":"2023-02-17T10:53:09","slug":"considera-as-seguintes-expressoes-2","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=24470","title":{"rendered":"Considera as seguintes express\u00f5es"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_24470' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_24470' class='GTTabs_curr'><a  id=\"24470_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_24470' ><a  id=\"24470_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_24470'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Considera as seguintes express\u00f5es, onde <em>x<\/em>, <em>y<\/em>, <em>e<\/em> e <em>t<\/em> s\u00e3o vari\u00e1veis e <em>a<\/em> \u00e9 uma constante.<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 12.5%;\"><strong>I<\/strong><\/td>\n<td style=\"width: 12.5%;\"><strong>II<\/strong><\/td>\n<td style=\"width: 12.5%;\"><strong>III<\/strong><\/td>\n<td style=\"width: 12.5%;\"><strong>IV<\/strong><\/td>\n<td style=\"width: 12.5%;\"><strong>V<\/strong><\/td>\n<td style=\"width: 12.5%;\"><strong>VI<\/strong><\/td>\n<td style=\"width: 12.5%;\"><strong>VII<\/strong><\/td>\n<td style=\"width: 12.5%;\"><strong>VIII<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 12.5%;\">\\(2x + 3y\\)<\/td>\n<td style=\"width: 12.5%;\">\\( &#8211; \\frac{5}{3}\\)<\/td>\n<td style=\"width: 12.5%;\">\\( &#8211; 2et\\)<\/td>\n<td style=\"width: 12.5%;\">\\(\\frac{3}{2}a\\)<\/td>\n<td style=\"width: 12.5%;\">\\(\\frac{2}{3} + xy\\)<\/td>\n<td style=\"width: 12.5%;\">\\(et\\)<\/td>\n<td style=\"width: 12.5%;\">\\(2{x^2}\\)<\/td>\n<td style=\"width: 12.5%;\">\\(\\frac{{{x^2}}}{3}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ol>\n<li>Indica as que s\u00e3o mon\u00f3mios.<\/li>\n<li>De entre os mon\u00f3mios da al\u00ednea anterior, indica os que s\u00e3o semelhantes.<\/li>\n<li>Identifica os termos e o grau de cada um dos polin\u00f3mios que n\u00e3o s\u00e3o mon\u00f3mios.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_24470' onClick='GTTabs_show(1,24470)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_24470'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Considera as seguintes express\u00f5es, onde <em>x<\/em>, <em>y<\/em>, <em>e<\/em> e <em>t<\/em> s\u00e3o vari\u00e1veis e <em>a<\/em> \u00e9 uma constante.<\/p>\n<\/blockquote>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 12.5%;\"><strong>I<\/strong><\/td>\n<td style=\"width: 12.5%;\"><strong>II<\/strong><\/td>\n<td style=\"width: 12.5%;\"><strong>III<\/strong><\/td>\n<td style=\"width: 12.5%;\"><strong>IV<\/strong><\/td>\n<td style=\"width: 12.5%;\"><strong>V<\/strong><\/td>\n<td style=\"width: 12.5%;\"><strong>VI<\/strong><\/td>\n<td style=\"width: 12.5%;\"><strong>VII<\/strong><\/td>\n<td style=\"width: 12.5%;\"><strong>VIII<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 12.5%;\">\\(2x + 3y\\)<\/td>\n<td style=\"width: 12.5%;\">\\( &#8211; \\frac{5}{3}\\)<\/td>\n<td style=\"width: 12.5%;\">\\( &#8211; 2et\\)<\/td>\n<td style=\"width: 12.5%;\">\\(\\frac{3}{2}a\\)<\/td>\n<td style=\"width: 12.5%;\">\\(\\frac{2}{3} + xy\\)<\/td>\n<td style=\"width: 12.5%;\">\\(et\\)<\/td>\n<td style=\"width: 12.5%;\">\\(2{x^2}\\)<\/td>\n<td style=\"width: 12.5%;\">\\(\\frac{{{x^2}}}{3}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u00a0<\/p>\n<ol>\n<li>Todas as express\u00f5es s\u00e3o mon\u00f3mios, com exce\u00e7\u00e3o de: <strong>I<\/strong> \\(2x + 3y\\) e <strong>V<\/strong> \\(\\frac{2}{3} + xy\\).<\/li>\n<li>De entre os mon\u00f3mios da al\u00ednea anterior, s\u00e3o mon\u00f3mios semelhantes:<br \/><strong>II<\/strong> \\( &#8211; \\frac{5}{3}\\) e <strong>IV<\/strong> \u00a0\\(\\frac{3}{2}a\\)<br \/><strong>III<\/strong> \\( &#8211; 2et\\) e <strong>VI<\/strong> \\(et\\)<br \/><strong>VII<\/strong> \u00a0\\(2{x^2}\\) e <strong>VIII<\/strong> \\(\\frac{{{x^2}}}{3}\\)<\/li>\n<li>Dos polin\u00f3mios que n\u00e3o s\u00e3o mon\u00f3mios:<br \/><strong>I<\/strong> \\(2x + 3y\\) Tem dois termos: \\(2x\\); \\(3y\\). O polin\u00f3mio \u00e9 de grau 1.<br \/><strong>V<\/strong> \\(\\frac{2}{3} + xy\\) Tem dois termos: \\(\\frac{2}{3}\\); \\(xy\\). O polin\u00f3mio \u00e9 de grau 2.<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_24470' onClick='GTTabs_show(0,24470)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Considera as seguintes express\u00f5es, onde x, y, e e t s\u00e3o vari\u00e1veis e a \u00e9 uma constante. I II III IV V VI VII VIII \\(2x + 3y\\) \\( &#8211; \\frac{5}{3}\\)&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19188,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,700],"tags":[424,194,705],"series":[],"class_list":["post-24470","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-monomios-e-polinomios","tag-8-o-ano","tag-monomios","tag-polinomios"],"views":127,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat74.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24470","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=24470"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24470\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19188"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24470"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24470"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24470"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24470"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}