{"id":24684,"date":"2023-04-01T21:28:36","date_gmt":"2023-04-01T20:28:36","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=24684"},"modified":"2023-04-02T19:30:27","modified_gmt":"2023-04-02T18:30:27","slug":"os-monomios-da-tabela","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=24684","title":{"rendered":"Os mon\u00f3mios da tabela"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_24684' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_24684' class='GTTabs_curr'><a  id=\"24684_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_24684' ><a  id=\"24684_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_24684'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Nos mon\u00f3mios da tabela seguinte, as vari\u00e1veis designam-se por <em>x<\/em>, <em>y<\/em> e <em>z<\/em>, e as constantes por <em>a<\/em> e <em>b<\/em>.<\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 160px;\">\n<tbody>\n<tr style=\"height: 20px;\">\n<td style=\"width: 25%; height: 20px;\"><strong>Mon\u00f3mio<\/strong><\/td>\n<td style=\"width: 25%; height: 20px;\"><strong>Coeficiente<\/strong><\/td>\n<td style=\"width: 25%; height: 20px;\"><strong>Parte literal<\/strong><\/td>\n<td style=\"width: 25%; height: 20px;\"><strong>Grau<\/strong><\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"width: 25%; height: 20px;\">\\(\\frac{{{a^2}b}}{3}\\)<\/td>\n<td style=\"width: 25%; height: 20px;\">\u00a0<\/td>\n<td style=\"width: 25%; height: 20px;\">\u00a0<\/td>\n<td style=\"width: 25%; height: 20px;\">\u00a0<\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"width: 25%; height: 20px;\">\\( &#8211; 5{y^3}\\)<\/td>\n<td style=\"width: 25%; height: 20px;\">\u00a0<\/td>\n<td style=\"width: 25%; height: 20px;\">\u00a0<\/td>\n<td style=\"width: 25%; height: 20px;\">\u00a0<\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"width: 25%; height: 20px;\">\u00a0<\/td>\n<td style=\"width: 25%; height: 20px;\">\\(9\\)<\/td>\n<td style=\"width: 25%; height: 20px;\">N\u00e3o tem<\/td>\n<td style=\"width: 25%; height: 20px;\">\u00a0<\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"width: 25%; height: 20px;\">\\(\\frac{3}{2}{y^3}\\)<\/td>\n<td style=\"width: 25%; height: 20px;\">\u00a0<\/td>\n<td style=\"width: 25%; height: 20px;\">\u00a0<\/td>\n<td style=\"width: 25%; height: 20px;\">\u00a0<\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"width: 25%; height: 20px;\">\u00a0<\/td>\n<td style=\"width: 25%; height: 20px;\">\\(1\\)<\/td>\n<td style=\"width: 25%; height: 20px;\">\\({x^2}{y^2}z\\)<\/td>\n<td style=\"width: 25%; height: 20px;\">\u00a0<\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"width: 25%; height: 20px;\">\\( &#8211; 5abx\\)<\/td>\n<td style=\"width: 25%; height: 20px;\">\u00a0<\/td>\n<td style=\"width: 25%; height: 20px;\">\u00a0<\/td>\n<td style=\"width: 25%; height: 20px;\">\u00a0<\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"width: 25%; height: 20px;\">\\(3x\\frac{1}{3}x{y^2}z\\)<\/td>\n<td style=\"width: 25%; height: 20px;\">\u00a0<\/td>\n<td style=\"width: 25%; height: 20px;\">\u00a0<\/td>\n<td style=\"width: 25%; height: 20px;\">\u00a0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Completa a tabela.<br \/>Indica dois mon\u00f3mios da tabelas que sejam semelhantes e dois que sejam iguais.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_24684' onClick='GTTabs_show(1,24684)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_24684'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Nos mon\u00f3mios da tabela seguinte, as vari\u00e1veis designam-se por <em>x<\/em>, <em>y<\/em> e <em>z<\/em>, e as constantes por <em>a<\/em> e <em>b<\/em>.<\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 160px;\">\n<tbody>\n<tr style=\"height: 20px;\">\n<td style=\"width: 25%; height: 20px;\"><strong>Mon\u00f3mio<\/strong><\/td>\n<td style=\"width: 25%; height: 20px;\"><strong>Coeficiente<\/strong><\/td>\n<td style=\"width: 25%; height: 20px;\"><strong>Parte literal<\/strong><\/td>\n<td style=\"width: 25%; height: 20px;\"><strong>Grau<\/strong><\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"width: 25%; height: 20px;\">\\[\\frac{{{a^2}b}}{3}\\]<\/td>\n<td style=\"width: 25%; height: 20px;\"><span style=\"color: #0000ff;\">\\[\\frac{{{a^2}b}}{3}\\]<\/span><\/td>\n<td style=\"width: 25%; height: 20px;\"><span style=\"color: #0000ff;\">N\u00e3o tem<\/span><\/td>\n<td style=\"width: 25%; height: 20px;\"><span style=\"color: #0000ff;\">\\[0\\]<\/span><\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"width: 25%; height: 20px;\">\\[ &#8211; 5{y^3}\\]<\/td>\n<td style=\"width: 25%; height: 20px;\"><span style=\"color: #0000ff;\">\\[ &#8211; 5\\]<\/span><\/td>\n<td style=\"width: 25%; height: 20px;\"><span style=\"color: #0000ff;\">\\[{y^3}\\]<\/span><\/td>\n<td style=\"width: 25%; height: 20px;\"><span style=\"color: #0000ff;\">\\[3\\]<\/span><\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"width: 25%; height: 20px;\"><span style=\"color: #0000ff;\">\\[9\\]<\/span><\/td>\n<td style=\"width: 25%; height: 20px;\">\\[9\\]<\/td>\n<td style=\"width: 25%; height: 20px;\">N\u00e3o tem<\/td>\n<td style=\"width: 25%; height: 20px;\"><span style=\"color: #0000ff;\">\\[0\\]<\/span><\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"width: 25%; height: 20px;\">\\[\\frac{3}{2}{y^3}\\]<\/td>\n<td style=\"width: 25%; height: 20px;\"><span style=\"color: #0000ff;\">\\[\\frac{3}{2}\\]<\/span><\/td>\n<td style=\"width: 25%; height: 20px;\"><span style=\"color: #0000ff;\">\\[{y^3}\\]<\/span><\/td>\n<td style=\"width: 25%; height: 20px;\"><span style=\"color: #0000ff;\">\\[3\\]<\/span><\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"width: 25%; height: 20px;\"><span style=\"color: #0000ff;\">\\[{x^2}{y^2}z\\]<\/span><\/td>\n<td style=\"width: 25%; height: 20px;\">\\[1\\]<\/td>\n<td style=\"width: 25%; height: 20px;\">\\[{x^2}{y^2}z\\]<\/td>\n<td style=\"width: 25%; height: 20px;\"><span style=\"color: #0000ff;\">\\[5\\]<\/span><\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"width: 25%; height: 20px;\">\\[ &#8211; 5abx\\]<\/td>\n<td style=\"width: 25%; height: 20px;\"><span style=\"color: #0000ff;\">\\[ &#8211; 5ab\\]<\/span><\/td>\n<td style=\"width: 25%; height: 20px;\"><span style=\"color: #0000ff;\">\\[x\\]<\/span><\/td>\n<td style=\"width: 25%; height: 20px;\"><span style=\"color: #0000ff;\">\\[1\\]<\/span><\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"width: 25%; height: 20px;\">\\[3x\\frac{1}{3}x{y^2}z\\]<\/td>\n<td style=\"width: 25%; height: 20px;\"><span style=\"color: #0000ff;\">\\[1\\]<\/span><\/td>\n<td style=\"width: 25%; height: 20px;\"><span style=\"color: #0000ff;\">\\[{x^2}{y^2}z\\]<\/span><\/td>\n<td style=\"width: 25%; height: 20px;\"><span style=\"color: #0000ff;\">\\[5\\]<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>A tabela foi completada acima, a cor azul.<br \/>Dois mon\u00f3mios semelhantes: \\( &#8211; 5{y^3}\\)\u00a0e \\(\\frac{3}{2}{y^3}\\), por exemplo.<br \/>Dois mon\u00f3mios iguais: \\(3x\\frac{1}{3}x{y^2}z\\) e \\({x^2}{y^2}z\\).<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_24684' onClick='GTTabs_show(0,24684)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Nos mon\u00f3mios da tabela seguinte, as vari\u00e1veis designam-se por x, y e z, e as constantes por a e b. Mon\u00f3mio Coeficiente Parte literal Grau \\(\\frac{{{a^2}b}}{3}\\) \u00a0 \u00a0 \u00a0 \\( &#8211;&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19176,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[100,97,700],"tags":[424,194,703],"series":[],"class_list":["post-24684","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-monomios-semelhantes"],"views":145,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat67.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24684","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=24684"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24684\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24684"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24684"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24684"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24684"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}