{"id":12868,"date":"2017-10-29T22:25:59","date_gmt":"2017-10-29T22:25:59","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=12868"},"modified":"2022-01-15T23:44:42","modified_gmt":"2022-01-15T23:44:42","slug":"a-area-da-regiao-a-branco","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=12868","title":{"rendered":"A \u00e1rea da regi\u00e3o a branco"},"content":{"rendered":"<p><ul id='GTTabs_ul_12868' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_12868' class='GTTabs_curr'><a  id=\"12868_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_12868' ><a  id=\"12868_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_12868'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2017\/10\/Quadrado-Triangulo.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"12869\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=12869\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2017\/10\/Quadrado-Triangulo.png\" data-orig-size=\"427,333\" 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=\"Quadrado-Tri\u00e2ngulo\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2017\/10\/Quadrado-Triangulo.png\" class=\"alignright wp-image-12869 size-medium\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2017\/10\/Quadrado-Triangulo-300x234.png\" alt=\"\" width=\"300\" height=\"234\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2017\/10\/Quadrado-Triangulo-300x234.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2017\/10\/Quadrado-Triangulo.png 427w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>Para que valores de \\(x\\) a \u00e1rea da regi\u00e3o a branco da figura \u00e9 menor ou igual a um quarto da regi\u00e3o quadrada?<\/p>\n<p>Explica o teu racioc\u00ednio.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_12868' onClick='GTTabs_show(1,12868)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' 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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, 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,'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,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','data:image\/png;base64,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');\r\n<\/script><\/p>\n<p>A \u00e1rea da regi\u00e3o a branco pode ser vista como a diferen\u00e7a entre a \u00e1rea da regi\u00e3o quadrada e a soma das \u00e1reas dos tr\u00eas tri\u00e2ngulos coloridos.<br \/>\nAssim, temos:<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{{A_{Branca}}}&amp; = &amp;{{A_{\\left[ {ABCD} \\right]}} &#8211; \\left( {{A_{\\left[ {AFD} \\right]}} + {A_{\\left[ {BFE} \\right]}} + {A_{\\left[ {CDE} \\right]}}} \\right)}\\\\{}&amp; = &amp;{{{\\overline {AB} }^2} &#8211; \\left( {\\frac{{\\overline {AD} \\times \\overline {AF} }}{2} + \\frac{{\\overline {BF} \\times \\overline {BE} }}{2} + \\frac{{\\overline {CD} \\times \\overline {CE} }}{2}} \\right)}\\\\{}&amp; = &amp;{8 \\times 8 &#8211; \\left( {\\frac{{8 \\times \\left( {8 &#8211; x} \\right)}}{2} + \\frac{{x \\times \\left( {8 &#8211; 5} \\right)}}{2} + \\frac{{8 \\times 5}}{2}} \\right)}\\\\{}&amp; = &amp;{64 &#8211; \\left( {32 &#8211; 4x + \\frac{{3x}}{2} + 20} \\right)}\\\\{}&amp; = &amp;{12 + \\frac{{5x}}{2}}\\end{array}\\]<\/p>\n<p>Vamos considerar que o v\u00e9rtice n\u00e3o fixo do tri\u00e2ngulo que define a regi\u00e3o branca (ponto F) pode deslocar-se ao longo do segmento de reta [AB], podendo coincidir com A e com B.<\/p>\n<p>Tendo isto em conta, vem:<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{{A_{Branca}} \\le \\frac{{{A_{Quadrada}}}}{4}}&amp; \\Leftrightarrow &amp;{\\begin{array}{*{20}{c}}{12 + \\frac{{5x}}{2} \\le \\frac{{64}}{4}}&amp; \\wedge &amp;{0 \\le x \\le 8}\\end{array}}\\\\{}&amp; \\Leftrightarrow &amp;{\\begin{array}{*{20}{c}}{\\frac{{5x}}{2} \\le 4}&amp; \\wedge &amp;{0 \\le x \\le 8}\\end{array}}\\\\{}&amp; \\Leftrightarrow &amp;{\\begin{array}{*{20}{c}}{x \\le \\frac{8}{5}}&amp; \\wedge &amp;{0 \\le x \\le 8}\\end{array}}\\\\{}&amp; \\Leftrightarrow &amp;{0 \\le x \\le \\frac{8}{5}}\\\\{}&amp;{}&amp;{}\\\\{}&amp;{}&amp;{S = \\left[ {0,\\;\\frac{8}{5}} \\right]}\\end{array}\\]<\/p>\n<p>Portanto, a \u00e1rea da regi\u00e3o a branco da figura \u00e9 menor ou igual a um quarto da regi\u00e3o quadrada para\u00a0\\(x \\in \\left[ {0,\\;\\frac{8}{5}} \\right]\\).<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_12868' onClick='GTTabs_show(0,12868)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Para que valores de \\(x\\) a \u00e1rea da regi\u00e3o a branco da figura \u00e9 menor ou igual a um quarto da regi\u00e3o quadrada? Explica o teu racioc\u00ednio. Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt;&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20313,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,258],"tags":[270,224],"series":[],"class_list":["post-12868","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-os-numeros-reais","tag-inequacao","tag-problema"],"views":1914,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2017\/10\/9V1Pag031-7_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/12868","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=12868"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/12868\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20313"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=12868"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=12868"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=12868"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=12868"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}