<br />
<b>Notice</b>:  Function _load_textdomain_just_in_time was called <strong>incorrectly</strong>. Translation loading for the <code>health-check</code> domain was triggered too early. This is usually an indicator for some code in the plugin or theme running too early. Translations should be loaded at the <code>init</code> action or later. Please see <a href="https://developer.wordpress.org/advanced-administration/debug/debug-wordpress/">Debugging in WordPress</a> for more information. (This message was added in version 6.7.0.) in <b>/home/acasinha/public_html/wp-includes/functions.php</b> on line <b>6131</b><br />
<br />
<b>Notice</b>:  A função _load_textdomain_just_in_time foi chamada <strong>incorrectamente</strong>. O carregamento da tradução para o domínio <code>hueman</code> foi accionado demasiado cedo. Isto é normalmente um indicador de que algum código no plugin ou tema está a ser executado demasiado cedo. As traduções devem ser carregadas na acção <code>init</code> ou mais tarde. Por favor veja <a href="https://developer.wordpress.org/advanced-administration/debug/debug-wordpress/">Depuração no WordPress</a> para mais informações. (Esta mensagem foi adicionada na versão 6.7.0.) in <b>/home/acasinha/public_html/wp-includes/functions.php</b> on line <b>6131</b><br />
{"id":6458,"date":"2011-01-26T00:47:34","date_gmt":"2011-01-26T00:47:34","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=6458"},"modified":"2022-01-15T00:05:12","modified_gmt":"2022-01-15T00:05:12","slug":"grafico-da-funcao-xto-kxb","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=6458","title":{"rendered":"Gr\u00e1fico da fun\u00e7\u00e3o afim: $x\\to kx+b$"},"content":{"rendered":"<p><ul id='GTTabs_ul_6458' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_6458' class='GTTabs_curr'><a  id=\"6458_0\" onMouseOver=\"GTTabsShowLinks('1.\u00aa Parte'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>1.\u00aa Parte<\/a><\/li>\n<li id='GTTabs_li_1_6458' ><a  id=\"6458_1\" onMouseOver=\"GTTabsShowLinks('2.\u00aa Parte'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>2.\u00aa Parte<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_6458'>\n<span class='GTTabs_titles'><b>1.\u00aa Parte<\/b><\/span><\/p>\n<p>No plano, dois pontos distintos definem uma reta.<\/p>\n<p>Se associarmos um referencial cartesiano a esse plano, essa reta (desde que n\u00e3o seja paralela ao eixo das ordenadas) pode ser caracterizada por uma equa\u00e7\u00e3o do tipo $y=kx+b$.<\/p>\n<p>Constata-se ainda que as coordenadas de todos os pontos dessa reta verificam essa equa\u00e7\u00e3o.<\/p>\n<p>Explora a anima\u00e7\u00e3o, verifica o que foi referido acima e interpreta geometricamente o efeito dos par\u00e2metros k e b.<\/p>\n<ol>\n<li>Em que situa\u00e7\u00e3o se obt\u00e9m uma fun\u00e7\u00e3o de proporcionalidade direta?<\/li>\n<li>Quais os valores dos par\u00e2metros k e b para se obter uma fun\u00e7\u00e3o de proporcionalidade direta?<\/li>\n<li>Qual \u00e9 a influ\u00eancia do par\u00e2metro k no gr\u00e1fico da fun\u00e7\u00e3o?<\/li>\n<li>Qual \u00e9 a influ\u00eancia do par\u00e2metro b no gr\u00e1fico da fun\u00e7\u00e3o?<br \/>\n\u00ad<\/li>\n<\/ol>\n<p><script src=\"https:\/\/cdn.geogebra.org\/apps\/deployggb.js\"><\/script>\r\n<div id=\"ggbApplet\" style=\"margin: 0 auto;\"><\/div>\r\n<script>\r\nvar parameters = {\r\n\"id\": \"ggbApplet\",\r\n\"width\":800,\r\n\"height\":487,\r\n\"showMenuBar\":false,\r\n\"showAlgebraInput\":false,\r\n\"showToolBar\":false,\r\n\"customToolBar\":\"0 39 | 1 501 67 , 5 19 , 72 | 2 15 45 , 18 65 , 7 37 | 4 3 8 9 , 13 44 , 58 , 47 | 16 51 64 , 70 | 10 34 53 11 , 24  20 22 , 21 23 | 55 56 57 , 12 | 36 46 , 38 49  50 , 71 | 30 29 54 32 31 33 | 17 26 62 73 , 14 68 | 25 52 60 61 | 40 41 42 , 27 28 35 , 6\",\r\n\"showToolBarHelp\":false,\r\n\"showResetIcon\":true,\r\n\"enableLabelDrags\":false,\r\n\"enableShiftDragZoom\":false,\r\n\"enableRightClick\":false,\r\n\"errorDialogsActive\":false,\r\n\"useBrowserForJS\":false,\r\n\"preventFocus\":false,\r\n\"showFullscreenButton\":true,\r\n\"language\":\"pt\",\r\n\/\/ use this instead of ggbBase64 to load a material from GeoGebraTube\r\n\/\/ \"material_id\":12345,\r\n\"ggbBase64\":\"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\"};\r\n\/\/ is3D=is 3D applet using 3D view, AV=Algebra View, SV=Spreadsheet View, CV=CAS View, EV2=Graphics View 2, CP=Construction Protocol, PC=Probability Calculator, DA=Data Analysis, FI=Function Inspector, PV=Python, macro=Macro View\r\nvar views = {'is3D': 0,'AV': 0,'SV': 0,'CV': 0,'EV2': 0,'CP': 0,'PC': 0,'DA': 0,'FI': 0,'PV': 0,'macro': 0};\r\nvar applet = new GGBApplet(parameters, '5.0', views);\r\nwindow.onload = function() {applet.inject('ggbApplet')};\r\n<\/script><br \/>\n\u00ad<\/p>\n<blockquote>\n<p>A <strong>proporcionalidade direta<\/strong> \u00e9 uma fun\u00e7\u00e3o definida por uma express\u00e3o anal\u00edtica do tipo <strong>$f(x)=kx$<\/strong> ou <strong>$x\\to kx$<\/strong>, sendo k a constante de proporcionalidade.<\/p>\n<p>O gr\u00e1fico dessa fun\u00e7\u00e3o \u00e9 constitu\u00eddo por pontos que se situam sobre <strong>uma reta que passa na origem do referencial<\/strong>.<\/p>\n<\/blockquote>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_6458' onClick='GTTabs_show(1,6458)'>2.\u00aa Parte &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_6458'>\n<span class='GTTabs_titles'><b>2.\u00aa Parte<\/b><\/span><!--more--><\/p>\n<p>Explora a anima\u00e7\u00e3o e interpreta geometricamente o efeito dos par\u00e2metros k e b.<\/p>\n<ol>\n<li>Em que situa\u00e7\u00e3o se obt\u00e9m uma fun\u00e7\u00e3o de proporcionalidade direta?<\/li>\n<li>Quais os valores dos par\u00e2metros k e b para se obter uma fun\u00e7\u00e3o de proporcionalidade direta?<\/li>\n<li>Qual \u00e9 a influ\u00eancia do par\u00e2metro k no gr\u00e1fico da fun\u00e7\u00e3o?<\/li>\n<li>Qual \u00e9 a influ\u00eancia do par\u00e2metro b no gr\u00e1fico da fun\u00e7\u00e3o?<\/li>\n<li>Qual a rela\u00e7\u00e3o entre os par\u00e2metros k e b para se obterem duas retas estritamente paralelas?<br \/>\n\u00ad<\/li>\n<\/ol>\n<p><div id=\"ggbApplet2\" style=\"margin: 0 auto;\"><\/div>\r\n<script>\r\nvar parameters = {\r\n\"id\": \"ggbApplet2\",\r\n\"width\":796,\r\n\"height\":488,\r\n\"showMenuBar\":false,\r\n\"showAlgebraInput\":false,\r\n\"showToolBar\":false,\r\n\"customToolBar\":\"0 39 | 1 501 67 , 5 19 , 72 | 2 15 45 , 18 65 , 7 37 | 4 3 8 9 , 13 44 , 58 , 47 | 16 51 64 , 70 | 10 34 53 11 , 24  20 22 , 21 23 | 55 56 57 , 12 | 36 46 , 38 49  50 , 71 | 30 29 54 32 31 33 | 17 26 62 73 , 14 68 | 25 52 60 61 | 40 41 42 , 27 28 35 , 6\",\r\n\"showToolBarHelp\":false,\r\n\"showResetIcon\":true,\r\n\"enableLabelDrags\":false,\r\n\"enableShiftDragZoom\":false,\r\n\"enableRightClick\":false,\r\n\"errorDialogsActive\":false,\r\n\"useBrowserForJS\":false,\r\n\"preventFocus\":false,\r\n\"showFullscreenButton\":true,\r\n\"language\":\"pt\",\r\n\/\/ use this instead of ggbBase64 to load a material from GeoGebraTube\r\n\/\/ \"material_id\":12345,\r\n\"ggbBase64\":\"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\"};\r\n\/\/ is3D=is 3D applet using 3D view, AV=Algebra View, SV=Spreadsheet View, CV=CAS View, EV2=Graphics View 2, CP=Construction Protocol, PC=Probability Calculator, DA=Data Analysis, FI=Function Inspector, PV=Python, macro=Macro View\r\nvar views = {'is3D': 0,'AV': 0,'SV': 0,'CV': 0,'EV2': 0,'CP': 0,'PC': 0,'DA': 0,'FI': 0,'PV': 0,'macro': 0};\r\nvar applet2 = new GGBApplet(parameters, '5.0', views);\r\nwindow.onload = function() {applet2.inject('ggbApplet2'); applet.inject('ggbApplet')};\r\n<\/script><br \/>\n\u00ad<\/p>\n<blockquote>\n<p>\u00c0 fun\u00e7\u00e3o do tipo $x\\to kx$ chama-se <strong>fun\u00e7\u00e3o afim<\/strong>.<\/p>\n<p>A <strong>k<\/strong> chama-se o <strong>declive da reta<\/strong> e a <strong>b<\/strong> a <strong>ordenada na origem<\/strong>.<\/p>\n<p>Nos pontos do seu gr\u00e1fico passa uma reta que corta o eixo das ordenadas no ponto de coordenadas $(0,b)$.<\/p>\n<p>Quanto maior for o valor absoluto de k ($\\left| k \\right|$) maior a inclina\u00e7\u00e3o da reta; a reta est\u00e1 inclinada para a direita para $k&gt;0$ e inclinada para a esquerda para $k&lt;0$.<\/p>\n<p>Os pontos dos gr\u00e1ficos das fun\u00e7\u00f5es definidas por $x\\to kx$ e $x\\to kx+b$ est\u00e3o sobre <strong>duas retas paralelas<\/strong>.<\/p>\n<p>O gr\u00e1fico da fun\u00e7\u00e3o $x\\to kx+b$ sofre um deslocamento de b unidades, na vertical, relativamente ao gr\u00e1fico de $x\\to kx$, a fun\u00e7\u00e3o de proporcionalidade direta.<\/p>\n<\/blockquote>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_6458' onClick='GTTabs_show(0,6458)'>&lt;&lt; 1.\u00aa Parte<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>1.\u00aa Parte 2.\u00aa Parte 1.\u00aa Parte No plano, dois pontos distintos definem uma reta. Se associarmos um referencial cartesiano a esse plano, essa reta (desde que n\u00e3o seja paralela ao eixo das ordenadas) pode&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19234,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,127],"tags":[],"series":[],"class_list":["post-6458","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-funcoes"],"views":4035,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat76.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6458","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=6458"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6458\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19234"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6458"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6458"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6458"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=6458"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}