{"id":14664,"date":"2018-04-18T17:51:26","date_gmt":"2018-04-18T16:51:26","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=14664"},"modified":"2022-01-09T22:38:52","modified_gmt":"2022-01-09T22:38:52","slug":"o-logotipo","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=14664","title":{"rendered":"O log\u00f3tipo"},"content":{"rendered":"<p><ul id='GTTabs_ul_14664' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_14664' class='GTTabs_curr'><a  id=\"14664_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_14664' ><a  id=\"14664_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_14664'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag108-6.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14667\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14667\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag108-6.png\" data-orig-size=\"908,570\" 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=\"Quadrados\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag108-6.png\" class=\"alignright size-medium wp-image-14667\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag108-6-300x188.png\" alt=\"\" width=\"300\" height=\"188\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag108-6-300x188.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag108-6-768x482.png 768w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag108-6.png 908w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>A Clara criou um log\u00f3tipo, usando quatro quadrados geometricamente iguais, conforme indica a figura.<br \/>\nTr\u00eas partes est\u00e3o pintadas a vermelho e uma est\u00e1 pintada a azul.<br \/>\nConsidera <em>x<\/em> o comprimento, em cent\u00edmetros, do lado do quadrado azul.<\/p>\n<ol>\n<li value=\"1\">Seja <em>y<\/em> a \u00e1rea do <strong>quadrado azul<\/strong> em fun\u00e7\u00e3o de <em>x<\/em>.<\/li>\n<\/ol>\n<table class=\" aligncenter\" style=\"width: 40%;\">\n<tbody>\n<tr>\n<td>\\(x\\)<\/td>\n<td>0<\/td>\n<td>1<\/td>\n<td>2<\/td>\n<td>3<\/td>\n<td>4<\/td>\n<\/tr>\n<tr>\n<td>\\(y\\)<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ul>\n<li>Copia e completa a tabela.<\/li>\n<li>Representa, num gr\u00e1fico, os pontos registados na tabela anterior.<\/li>\n<li>Escreve uma express\u00e3o alg\u00e9brica que relacione <em>x<\/em> com <em>y<\/em>.<\/li>\n<li>As grandezas <em>x<\/em> e <em>y<\/em> s\u00e3o diretamente ou inversamente proporcionais?<\/li>\n<\/ul>\n<ol>\n<li value=\"2\">Considerando agora <em>y<\/em> a \u00e1rea da <strong>parte vermelha<\/strong>, responde \u00e0s al\u00edneas da quest\u00e3o 1.<\/li>\n<\/ol>\n<ol>\n<li value=\"3\">Se o lado do quadrado azul medir 4 cm, qual \u00e9 a medida da \u00e1rea da parte vermelha?<\/li>\n<\/ol>\n<ol>\n<li value=\"4\">Se a \u00e1rea da parte vermelha for 147 cm<sup><em>2<\/em><\/sup>, qual \u00e9 a medida do lado do quadrado azul?<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_14664' onClick='GTTabs_show(1,14664)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_14664'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag108-6.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14667\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14667\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag108-6.png\" data-orig-size=\"908,570\" 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=\"Quadrados\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag108-6.png\" class=\"alignright size-medium wp-image-14667\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag108-6-300x188.png\" alt=\"\" width=\"300\" height=\"188\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag108-6-300x188.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag108-6-768x482.png 768w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag108-6.png 908w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>A Clara criou um log\u00f3tipo, usando quatro quadrados geometricamente iguais, conforme indica a figura.<br \/>\nTr\u00eas partes est\u00e3o pintadas a vermelho e uma est\u00e1 pintada a azul.<br \/>\nConsidera <em>x<\/em> o comprimento, em cent\u00edmetros, do lado do quadrado azul.<\/p>\n<\/blockquote>\n<p>\u00ad<\/p>\n<ol>\n<li value=\"1\">Seja <em>y<\/em> a \u00e1rea do <strong>quadrado azul<\/strong> em fun\u00e7\u00e3o de <em>x<\/em>.<\/li>\n<\/ol>\n<table class=\" aligncenter\" style=\"width: 40%;\">\n<tbody>\n<tr>\n<td>\\(x\\)<\/td>\n<td>0<\/td>\n<td>1<\/td>\n<td>2<\/td>\n<td>3<\/td>\n<td>4<\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #0000ff;\">\\(y\\)<\/span><\/td>\n<td><span style=\"color: #0000ff;\">0<\/span><\/td>\n<td><span style=\"color: #0000ff;\">1<\/span><\/td>\n<td><span style=\"color: #0000ff;\">4<\/span><\/td>\n<td><span style=\"color: #0000ff;\">9<\/span><\/td>\n<td><span style=\"color: #0000ff;\">16<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ul>\n<li>A tabela completa est\u00e1 acima.<script src=\"https:\/\/cdn.geogebra.org\/apps\/deployggb.js\"><\/script>\r\n<div id=\"ggbApplet\" style=\"float: right;\"><\/div>\r\n<script>\r\nvar parameters = {\r\n\"id\": \"ggbApplet\",\r\n\"width\":400,\r\n\"height\":515,\r\n\"showMenuBar\":false,\r\n\"showAlgebraInput\":false,\r\n\"showToolBar\":false,\r\n\"customToolBar\":\"0 39 73 62 | 1 501 67 , 5 19 , 72 75 76 | 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  14  68 | 30 29 54 32 31 33 | 25 17 26 60 52 61 | 40 41 42 , 27 28 35 , 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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, macro=Macros\r\nvar views = {'is3D': 0,'AV': 0,'SV': 0,'CV': 0,'EV2': 0,'CP': 0,'PC': 0,'DA': 0,'FI': 0,'macro': 0};\r\nvar applet = new GGBApplet(parameters, '5.0', views);\r\nwindow.onload = function() {applet.inject('ggbApplet')};\r\napplet.setPreviewImage('data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZoAAANLCAYAAAB4+1vAAAAACXBIWXMAAAsTAAALEwEAmpwYAAA0NklEQVR42u3dDWhd93038BBbUVRFdTQcYfIIY0KN57ZZnswjMyUzmufNyVw3Ca42LRXF67IwNTNuyIo6N3iu5zkhIpg8woQQs3RecI1DCCMUY8zSkZimuB1eCMEYEyK84gjFqDNGM0IR\/0e\/0527q6t7pXv14ujl84GDpXuv78tX\/3O+97zcc29KLGpnzpwRggzlJ8PP1E3z+cn95Cc\/Sdu2bUv\/9m\/\/ZqRNk+xkKD8ZKppJSuaOO+5IDzzwQPavwWoml6H8ZKhoZr1kItybbrop+1fZmMllKD8ZKppZL5nsCd50UyFoZWMml6H8ZKhoZuy5554bF2peNHnYPT09Rp2ZXIbyk6GimcUneNNNRpmZXIbyk6GiUTQGqAyRnwwVjQGKDOUnQ0WjaAxQGcoPRaNoDFAZIj8ZKhrM5DKUnwwVjaIxQGUoPxTNfCyavr6+tGzZsrRu3boJt\/3www+z269du9bINJPLUH4yVDTTX6Pp6OjILn\/99dfHXX7o0KHs8ieffNLINJPLUH4yVDTTL5pz585ll997773jLt+8eXN2+VtvvWVkmsllKD8ZKprpF01oa2srnHAzXLt2Lduk1tjYmEZHR41MM7kM5SdDRTOzosnP7ByFE44fP579HpvVMJPLUH4yXIRFc\/Xq1WxBXzrlhoaGUldXV7bGUV9fn9rb29Pg4OC0iybEprO4\/r333ivstzl27JhRaSaXofxkuBiL5s0338zKo5Ldu3enw4cPZ5u1Yuru7p709tUUTb4WEwW2YsWKbNNZFB5mchnKT4aLsGgOHDiQXnjhhYrXNzc3j9t3MjIykq3ZzKRoQhzKXFdXN24zGmZyGcpPhouwaHbs2JG2bNmSrVk0NTVlayyTGR4eTi0tLTMumlhLyjfTPf\/880akmVyG8pPhYi2aVatWpaNHj2Y\/x5rLSy+9lPbu3Vvx9nHbya4vLpoIudL0r\/\/6r+nmm2\/Obhf3OdltTSaTyXTjpzk76izKJsqnnCtXrmQ772Pz2UzXaE6fPp3d5u677\/a2x7tJGcpPhot5jaac2DlfKsqls7MzDQwMVPcEKxRN3E8U1n333VdYm8FMLkP5yXARF83KlSuzD03mYh9M6fnIohjiCLE4X1nVT7BC0RQfQl16hgDM5DKUnwwXYdE89dRTaf\/+\/YXDl5999tlsR33uzJkzadOmTam\/v7+2J1ihaFavXp0aGhrStm3b0uXLl41EM7kM5SfDxV40169fT48\/\/nh2yHIcynzw4MFx17e2tk76gc5aiwYzuQzlJ8MlVjRz9gQVjZlchvKToaJRNAaoDJGfDBWNAYoM5SdDRaNoDFAZyg9Fo2gMUBkiPxkqGszkMpSfDBWNojFAZSg\/FI2iMUCRofxkqGgwk8tQfjJUNIrGAJWh\/FA0isYARYbyk6GiwUwuQ\/nJUNEoGgNUhshPhorGAEWG8pOholE0BqgM5YeiUTQGqAyRnwwVDWZyGcpPhopG0RigMpQfikbRGKAyRH4yVDSYyWUoPxkqGkVjgMpQfigaRWOAIkP5yVDRYCaXofxkuNSL5sSJExMKor+\/Pz3yyCOpvr4+NTQ0pPb29jQwMKBoDFAZyg9FU5tLly6ltra2CQWxefPmdPz48TQ6OppN8fOWLVsUjQEqQ\/mhaGqzdevWdOHChQkFUVdXN+G25S5TNAaoDOWHoqnowIEDqbe3t2xB5Gs0udi8tmnTJkVzgwbou+++m\/7pn\/5pTqYzZ86kTz\/91EyO\/GQ4t0Vz9uzZcZvCSgvi\/Pnzqbm5Obs8pvg5LqumaCJk0\/SnXbt2pT\/7sz9Le\/fuTfv375\/Vad++fekb3\/hG9hhvvfWWvE0m04RpVorm2rVracOGDdkO\/0pFs3379vT8888X9tH09PSkHTt2WKOZYy+\/\/HJ67LHH0vXr1+fsMWJt5tvf\/na2ZuPdJPKT4Zys0ezcuTO9\/vrrkxZEHG0WBZOLn+PoM0Uzt2Kt48iRI3P+OK+88kq2Gc1MjvxkOCdFk28OKzflSksliqaxsVHR3ICiuREFkO+vMZMjPxnOSdFUUxCxDT\/eWY+MjGQlc+jQofTEE08omgVUNP\/xH\/+RvvnNb2b7e\/793\/9d0SA\/Gc6vool9BFE2sQktpiiZavYbKJr5UTTx4drYpxYHfMRUun9N0SA\/Gd7wopmrwuKzKZqnnnqqUDIxxVqNokF+MlQ0zErRvPrqq+NKJqZTp04tuKK5evXqkpjJp\/s6LSQVjaLhMymaOMvDH\/\/xH48rmX\/4h3+YcLtKRdPS0pJtZnv66afThx9+WPYx4vK4Pm4Xt58Le\/bsqergk4U+k8\/kdc6HhWTpQUQoGkWzyIvmv\/\/7v9Of\/\/mfT9hk9l\/\/9V9VF03xEYgdHR1lHycuL3ek4myPo+ne90KayefjglrRKBpFo2gqeu655yZsMosjz8qZqmjWr1+fvdMu\/ixViN+bmprSXXfdpWgUjaJRNIpmKRVNnE6mtGTiQ5mVTFU0cTBB\/Hv69OkJjxOXxxGJ5RYyfX192Sa1+BxWTA899NCETXBx9OJ3v\/vdtGrVquxErVFa8brLrVUV33\/++9tvv51WrFiRvvKVrxSue+ONN7Lz88VjLl++PLvvJ598MjsLRjX\/v1IOV65cyc5uHs8zzqbxs5\/9bMJtix87blftY1d6neGXv\/xl9tUceY7xc\/GZPCYz1fOZ7HN0+SmkKhVIpb8JikbRLPKiKT2UOaY4xczw8PC0iyYvlN27d4+7PhZYcfnJkycnLGQuX76c7bMpXXDFZcULybjPcgu42O9TTdHcd999admyZelb3\/pWdnkc\/FBpoRmn85nq\/09WNJ2dnePuL9bmiotzJo9d6XVGud15550Trl+7du248iqnmuejaBSNolE04wogPmj5J3\/yJ+nhhx\/OzuhcTumhzHGeuvieoclMVTT5mSBibaNYLOziXXJcX7qQyddy4izfsbCMAsy\/6yiuy8XnsuKy999\/P\/s9joiL32PhOtkCLL8sFtLFm\/TWrVuXXR4L2bg8ZvI4aWxcVryjvdL\/n6xo7r333mztotJrKX3sUMtjl3ud3d3d2WXxxYOR49DQUKHwnn322Umfd7XPp1gc9ZavYcXfV9EoGkWzxIomSiYvkDiarLRsqjmUeTpFE\/Kd\/h988EH2e5y9O18AllvI5PttfvGLXxQuO3fuXHbZ6tWrC5fl79bj\/uOce+UW+pMVTaWziMcCNb7aIp5fFETcNtYeqv3\/5R7rpz\/9aeGy9957r7AwrvTY8cHmWh673OuM\/WP5Zrvc4OBgdtlkm\/tqeT7Fa8P59bFpMH5XNIpG0SzhosnLJhYiodpDmadbNPlmmPxd9MGDB7PfX3rppbILmVjTKf3752s+xV+aF99tVLyJbc2aNRP2fUxWNJMtLCc7f18tC8XiNbvJXstMH7vc5XmO5aapDoWu9vnkmzrzUou10HyznKJRNIpmCW46Ky2T+FbUd955p+pDmadbNLHQip\/vv\/\/+7PeNGzdmv8empHILmXjHXKloYnNZqSiXWDvI9328+eab0yqafM0rFpqxDym+xyf\/1tiZFk2511J8wtnSx461iFoeu9aimepbbqt9PrGfqbW1NbssDtgo3p9XqWjKbS5VNIpG0SyCoqlUNn\/0R39U9aHM0y2akO+8jqPJ4vJ77rmn4m3z0phq01mx2CQUBwGUllEtRZPv88k\/YR8zef58Z1o0sbms9LUUZ1D62KGWxy53eazhlW46q1Y1zyf2jeVrlLHvp9xCMn\/TECfVzcX\/UzSKRtEs0qIJsbksdvKXlks1hzLPpGjiGznz\/TLxb3ySvdJtiw8GiLWh4h3oxWf+zhdyP\/7xj7PfYz9IfnRa6X2XO0S40sI1DusNP\/zhD7OCnI2iiecfryOOmos1u+Kj48o9duzPquWxy73O\/Ki8OKQ5HjvWJOJLCPPnU03RTPZ88m\/OffzxxysuJFeuXJnd5oUXXsgeP8oqf\/2KRtEomkVaNHnZlK7ZVHMo80yKJj9iKX+HWzwDld42FsaVDm\/ON7eFKJ1ym4XiaKtc7IvIv0J8qoVauUOFZ2sfTen+jjiQoXhNY6aPXe51VsoxNptN9a2o1Tyfag5vLv6cVOlnqxSNolE0i7ho8s1oxSXzh3\/4h1MeyjyToileAyndEV3utrHtP7b5518vEfsMLl68OGFzWVdXV7ZwjQKLDxRGyRRvpjl8+HD2\/2PfzVQLtbi\/2AQUt4+F8Re\/+MXsgIPZKJrINsom7jvWKOOd\/WSPHfuxannscq8z39yVf2Az7jeONqtm4VXN86mmaPKvCYkPl8Z9xf4e+2gUjaJZIkUTXnvttaxgYoojw6bD1wRUVzQWkigaRbMki2Y2KBpFo2hkqGiWcNHEV2jPtTh4QNEoGkUjQ0WzBL388svZOamq+drs6fr000+zAwim2rG8lGfyfB+ThSSKRtEsygEaazVRNrFmk2\/imq0p1mSiZOIxonDM5MhPhopmiQ7QOKfZbJdMPsWazGItGQtK+clQ0WAml6H8ZLgUiyY\/zn661ysaA1SG8kPRVBQfSMtPEzKd6xWNASpD+aFoJhVnAs7P7jqd6xWNASpD+aFoKjpw4EDq7e2tWBBTXa9o5m6AOhjAglJ+MlzwRRMnS4xzZVUqiKmun6xoImTT9Kc4x1R8t0x8r0ochjybU5yN+Rvf+Eb2GG+99Za8TSbThGlWiiZOSR5f2xpniS1XJFNdb41m7vjApneT8pPholij2blzZ\/Zd7ZUKYqrrFc3ccQoaM7n8ZLgoimYm31ehaOa+aJxU04JSfjJc8EUznYKwRqNozOQWkigaRaNoFI0FpfxkOH+L5kYVForGTC4\/GSoaRaNo5oWrV68uiZl8uq\/TQlLRKBoWZNG0tLSkHTt2pKeffjp9+OGHZf9vXB7Xx+3i9nNhz549qbGxcdHP5DN5nYt1IVl64NFC\/BI6RaNoFM0kRVN8hGFHR0fZ\/xuX13Ik4mwsbBbrTD4fF6KKRtEoGkVzQ4pm\/fr12Tvt0dHRcdfH701NTemuu+5SNIpG0SgaRaNopl80Tz31VPbv6dOnx10fp62Jy+MUNuUWAH19fdkmtYaGhmx66KGHJmyCi7MefPe7302rVq1KdXV1WWnF6y63VlVugfP222+nFStWpK985SuF69544420efPm7DGXL1+e3feTTz6ZneWimv9fKYcrV65kZy+P5xlny\/jZz3424bbFjx23q\/axJ\/uM2i9\/+cvU3t5eyDF+Lj5TR6nIPe7jS1\/6Utnr161bl12fnw1isvvPF5KV8sovHxwczE66G195Hf8\/3oRcvHgxyyly2LRpU7p8+XLNr6vS3z3yjA+Tx+PF89m9e\/eEM2hU87dQNIpG0cyToskLJWbmYjHTxuUnT56csECIhUrssyldgMZlxQuTuM9yHwaO\/T7VFM19992Xli1blr71rW9ll7\/66qsVP2Acp\/OZ6v9PVjSdnZ3j7i\/W5oqLcyaPXel1RrndeeedE65fu3btpAvMWOjH7X7xi1+Muzx+j8vvueeequ6\/tGhK88ovjzcUxf\/\/0KFD2X0UX\/bII4\/U\/Loq\/d0ffPDBCf833vDU+rdQNIpG0cyTool3p7HpLNY2isVCId4pxvWlC4R8LSfeycZCZWBgoPBdRsULhHhHGpe9\/\/772e+nTp3Kfo+F0GSbS\/LLYoFXvEkvf7ceC5q4PGbyOClsXFa8o73S\/5+saO69997sXXil11L62KGWxy73Oru7uwsL6chxaGioUHjPPvtsxef85ptvTnh+xcX+0ksvVXX\/pUVT6TlH0QwPD6djx45lv8e4iPsZGRkpXBZrFrW+rkpFE2tU8f1Y8VzyNzwrV66s+W+haBSNopknRRPynf4ffPBB9vv58+fHvUstXSDk+22K31GfO3cuu2z16tWFy\/J3tXH\/cU69cgv9yYomnkc5sVA5fvx49vyiIOK28U682v9f7rF++tOfFi577733Cu\/AKz32E088UdNjl3udsX8s32yXi81U+cJ2Mq2trdnCN880\/o01yubm5qwUqrn\/0qKp9Jzzy4vfdEQRlF5W6+uqVDT5G5N882tebrX+LRSNolE086ho8k0R+bvNgwcPjntnXLpAiJm+9O+fL3CKFwjx1eDFm9jWrFkzYd\/HZEVTKtY28gXKZOfnq2WncvGa3WSvZaaPXe7yPMdy01TvzGP8xO3+5V\/+Jfs938QZ+9yqvf\/SoqnlTcBkl1X7uqabXbV\/C0WjaBTNPCqamHHj5\/vvvz\/7fePGjdnvsSmp3Iwe7xorFU1sLisV5ZJv0499H7HpZzpFk695xTvm2KQS3+OTfyvsTIum3Gsp3hxU+tjxTrqWx661aMq9gy8W+8ni75CvdX7zm9\/Mfo+DBaq9\/8+iaIpf13Szq\/ZvoWgUjaKZR0UT8h3B+VFN+Q7lcrfNS2OqTWfFYtNJHARQWka1FE2+zyf\/hH3M5PnznWnRxOay0tdSnEHpY4daHrvc5bGGV7qJqRZxpF8suGOTZ\/y7bdu2mu5\/roqm2tc13eyq\/VsoGkWjaOZZ0cQ3cub7ZeLf+CR7pdsWHwwQa0PFO9Bje3ku32z24x\/\/OPs99oPkR6eV3vdkRyOVLmDi0Nbwwx\/+MCvI2SiaeP7xOuKouVizKz46rtxjx8K9lscu9zrznfdx6G88dqxJPf\/884XnM5X8iMF8Kl3oTXX\/c1U01b6umRbNVH8LRaNoFM08K5r8qJ18s1jxDFR621gYVzq8Od\/cFqJ0ym0+iaOScrHNPi6LndhTLXDKHSo8W\/toSrf5x4EMxe\/IZ\/rY5V5npRxj7aTab0XND8yII7FKTXX\/c1U01b6u6RZNtX8LRaNoFM08K5riNZDSHdHlbhufMYlNN\/HuMqbYbh4f4ivdXNbV1ZUtXKPA4kN1UTJxWGzu8OHD2f+PfTdTLXDi\/uIw2bh9LLS++MUvZgcczEbRxFFUUTZx39u3bx+3r6PcY8d+rFoeu9zrzDf55B9sjPstPhqsGj09Pdnj9fb2lr1+svufq6Kp9nVNt2iq\/VsoGkWjaJy9eV7M5AvxtCcWkjJUNCgaRWMhKUNFo2jmR9EcOXJkzh\/nlVdeUTSKRtHIUNEsRS+\/\/HJ2XqbSkwXOpk8\/\/TR9+9vfrnrH8lKcyfN9TBaSKBpFsygHaKzVRNnEmk2+iWu2pliTiZKJx4jCMZMjPxkqmiU6QN99991ZL5l8ijWZxVoyFpTyk6GiwUwuQ\/nJcCkWTX6sebE4Jj0+NxDHu8fnJ+LzEPFpXkVjgMpQfiiamsQH0vLThBSLbfhx+pE4TURMR48eHXfqDUVjgMpQfiiaqsS38uVnOC22ZcuWwveQhPjUdnzDnaIxQGUoPxRN1Q4cOFA4RUVpQcQpMUq\/kKr0NBmKxgCVofxQNBXFyRJjraVSQZT73oupvgsjv58I2WQymUwLc5qVoolTkm\/YsCE7m2qloin31afVFg3eTcpQfjJc4ms0O3fuzL6rfbKCKLeZzKYzA1SG8kPRVHcnVXxnQxwkMDQ0VPg9TolSzZcuKRozuQzlJ0NFU1VBxOHNBw8eLBzeHKdDicOdFY0BKkP5oWhmpWguX76cNm\/eXDi5YHzveHyIU9EYoDKUH4rms32CisZMLkP5yVDRKBoDVIbIT4aKxgBFhvKToaJRNAaoDOWHolE0BqgMkZ8MFQ1mchnKT4aKRtEYoDKUH4pG0RigyFB+MlQ0mMllKD8ZKhpFY4DKUH4oGkVjgCJD+clQ0WAml6H8ZKhoFI0BKkPkJ0NFY4AiQ\/nJUNEoGgNUhvJD0SgaA1SGyE+GigYzuQzlJ0NFo2gMUBnKD0WjaAxQGSI\/GSoazOQylJ8MFY2iMUBlKD8UjaIxQJGh\/GQ4j4umu7s7NTU1pYaGhtTe3p76+\/vHXX\/s2LG0Zs2aVF9fn+6777703nvvKRoDVIbyQ9FUp6enJ\/X29qbR0dFsOnDgQGpraytcf\/bs2bRx48bU19eXXf\/qq6+m9evXKxoDVIbyQ9FU56677kpDQ0PjLqurqyv8\/Oijj2ZlVPMTVDRmchnKT4aKptTVq1fT\/v37s3LJrV69Or3\/\/vuKxgCVofxQNDPT0dGRGhsbs+ncuXPj1m5OnTqV1q1bV9iHMzg4WFXRRMgmk8lkWpjTnK0uxIEBd99997jC6OrqytZ2Yh\/Niy++OG6NxxqNd0IylB\/WaGoyMjIybh9NHI02PDxc+D3KJo4+UzQGqAzlh6KpSktLSxoYGCj8HqWycuXKwu8PPvjguNtH0cQmNEVjgMpQfiiaqsSmsn379hUOb96zZ0825U6cOJFN+fUvvPBC9lkaRWOAylB+KJqqxKayXbt2ZZvD4kCAKJ5SUS6x5hO32b59e7pw4YKiMUBlKD8UzWf8BBWNmVyG8pOholE0BqgMkZ8MFY0BigzlJ0NFo2gMUBnKD0WjaAxQGSI\/GSoazOQylJ8MFY2iMUBlKD8UjaIxQJGh\/GSoaDCTy1B+MlQ0isYAlaH8UDSKxgBFhvKToaLBTC5D+clQ0SgaA1SGyE+GisYARYbyk6GiUTQGqAzlh6JRNAaoDJGfDBUNZnIZyk+GikbRGKAylB+KRtEYoDJEfjJUNJjJZSg\/GSoaRWOAylB+KBpFY4AiQ\/nJcB4XTXd3d2pqakoNDQ2pvb099ff3F64bGhpKXV1dqbGxMdXX12fXDw4OKhoDVIbyQ9FUp6enJ\/X29qbR0dFsOnDgQGpraytcv3v37nT48OHC9VFKUTaKxgCVofxQNFW56667srWWYnV1dYWfm5ubs4LJjYyMZGs2isYAlaH8UDQ1u3r1atq\/f3969NFHK95meHg4tbS0KBoDVIbyQ9HUpqOjI9sPE9O5c+cq3u7o0aNp7969VRVNhGwymUymhTnN2epC7IO5++67y1535cqVrJBi85k1Gu+EZCg\/rNFMS5RI8T6a4ss7OzvTwMBAdU9Q0ZjJZSg\/GSqaEPtbissj9sGsXLlywppMHOLc19dX\/RNUNGZyGcpPhoomxKayffv2FQ5f3rNnTzblzpw5kzZt2jTuszWKxgCVofxQNFWLTWK7du3KDlmOAwGieIq1trZmpVE6KRoDVIbyQ9F8tk9Q0ZjJZSg\/GSoaRWOAyhD5yVDRGKDIUH4yVDSKxgCVofxQNIrGAJUh8pOhosFMLkP5yVDRKBoDVIbyQ9EoGgMUGcpPhooGM7kM5SdDRaNoDFAZyg9Fo2gMUGQoPxkqGszkMpSfDBWNojFAZYj8ZKhoDFBkKD8ZKhpFY4DKUH4oGkVjgMoQ+clQ0WAml6H8ZKhoFI0BKkP5oWgUjQEqQ+QnQ0WDmVyG8pOholE0BqgM5YeiUTQGKDKUnwwVDWZyGcpPhkuxaIaGhlJXV1dqbGxM9fX1qb29PQ0ODhau7+\/vT4888kh2XUNDQ3b9wMCAojFAZSg\/FE11du\/enQ4fPpxGR0ezqbu7OyuT3ObNm9Px48cL18fPW7ZsUTQGqAzlh6KpTnNzc1YguZGRkWztJVdXVzfh\/5S7TNEYoDKUH4qmKsPDw6mlpWXCGk3uxIkTadOmTYrGAJWh\/FA003P06NG0d+\/ewu\/nz5\/P1nqiOGKKn+OyaoomQjaZTCbTwpzmpGiuXLmSOjo6ss1nue3bt6fnn3++sI+mp6cn7dixwxqNd0I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','data:image\/png;base64,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');\r\n<\/script><\/li>\n<li>Os pontos registados na tabela anterior est\u00e3o representados no gr\u00e1fico \u00e0 direita.<\/li>\n<li>Uma express\u00e3o alg\u00e9brica que relaciona\u00a0<em>x<\/em> com <em>y<\/em> \u00e9\u00a0<span style=\"color: #0000ff;\">\\(y = {x^2}\\)<\/span>.<\/li>\n<li>As grandezas <em>x<\/em> e <em>y<\/em>\u00a0n\u00e3o s\u00e3o diretamente nem inversamente proporcionais.<br \/>\n\u00ad<\/li>\n<\/ul>\n<ol>\n<li value=\"2\">Considerando agora <em>y<\/em> a \u00e1rea da <strong>parte vermelha<\/strong>, responde \u00e0s al\u00edneas da quest\u00e3o 1<\/li>\n<\/ol>\n<ul>\n<li>A tabela completa est\u00e1 abaixo.<\/li>\n<li>Os pontos registados na tabela anterior est\u00e3o representados no gr\u00e1fico \u00e0 direita.<\/li>\n<li>Uma express\u00e3o alg\u00e9brica que relaciona\u00a0<em>x<\/em> com <em>y<\/em> \u00e9 <span style=\"color: #ff0000;\">\\(y = 3{x^2}\\)<\/span>.<\/li>\n<li>As grandezas <em>x<\/em> e <em>y<\/em> n\u00e3o s\u00e3o diretamente nem inversamente proporcionais.<\/li>\n<\/ul>\n<table class=\" aligncenter\" style=\"width: 40%;\">\n<tbody>\n<tr>\n<td>\\(x\\)<\/td>\n<td>0<\/td>\n<td>1<\/td>\n<td>2<\/td>\n<td>3<\/td>\n<td>4<\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #ff0000;\">\\(y\\)<\/span><\/td>\n<td><span style=\"color: #ff0000;\">0<\/span><\/td>\n<td><span style=\"color: #ff0000;\">3<\/span><\/td>\n<td><span style=\"color: #ff0000;\">12<\/span><\/td>\n<td><span style=\"color: #ff0000;\">27<\/span><\/td>\n<td><span style=\"color: #ff0000;\">48<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u00ad<\/p>\n<ol>\n<li value=\"3\">Se o lado do quadrado azul medir 4 cm, qual \u00e9 a medida da \u00e1rea da parte vermelha?<br \/>\nSe o\u00a0lado do quadrado azul medir 4 cm, a \u00e1rea da parte vermelha \u00e9\u00a0\\(y = 3 \\times {4^2} = 48\\) cm<sup>2<\/sup>.<br \/>\n\u00ad<\/li>\n<\/ol>\n<ol>\n<li value=\"4\">Se a \u00e1rea da parte vermelha for 147 cm<sup><em>2<\/em><\/sup>, qual \u00e9 a medida do lado do quadrado azul?<br \/>\nSe a \u00e1rea da parte vermelha for 147 cm<sup><em>2<\/em><\/sup>, a medida do lado do quadrado \u00e9 7 cm:<\/li>\n<\/ol>\n<p>\\[\\begin{array}{*{20}{l}}{\\begin{array}{*{20}{c}}{3{x^2} = 147}&amp; \\wedge &amp;{x \\ge 0}\\end{array}}&amp; \\Leftrightarrow &amp;{\\begin{array}{*{20}{c}}{{x^2} = 49}&amp; \\wedge &amp;{x \\ge 0}\\end{array}}\\\\{}&amp; \\Leftrightarrow &amp;{x = 7}\\end{array}\\]<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_14664' onClick='GTTabs_show(0,14664)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado A Clara criou um log\u00f3tipo, usando quatro quadrados geometricamente iguais, conforme indica a figura. Tr\u00eas partes est\u00e3o pintadas a vermelho e uma est\u00e1 pintada a azul. Considera x o comprimento, em&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":14666,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,249],"tags":[426,108,499],"series":[],"class_list":["post-14664","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-proporcionalidade-inversa-e-funcoes-algebricas","tag-9-o-ano","tag-area","tag-funcao-quadratica"],"views":2274,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag108-6a.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14664","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=14664"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14664\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14666"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=14664"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=14664"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=14664"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=14664"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}