{"id":13144,"date":"2017-11-30T08:56:28","date_gmt":"2017-11-30T08:56:28","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=13144"},"modified":"2022-01-18T00:15:02","modified_gmt":"2022-01-18T00:15:02","slug":"um-sistema-de-rega","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=13144","title":{"rendered":"Um sistema de rega"},"content":{"rendered":"<p><ul id='GTTabs_ul_13144' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_13144' class='GTTabs_curr'><a  id=\"13144_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_13144' ><a  id=\"13144_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_13144'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>A fam\u00edlia Coelho pretende instalar, no jardim da sua casa, um sistema de rega, utilizando aspersores. O alcance dos aspersores \u00e9 a dist\u00e2ncia que a \u00e1gua atinge, medida a partir do aspersor.<\/p>\n<p>A fam\u00edlia Coelho comprou dois aspersores de 5 m de alcance: um com \u00abbico 90\u00ba\u00bb e um com \u00abbico 270\u00ba\u00bb; colocou-os no jardim, nos pontos assinalados com <em><span style=\"color: #800000;\">X<\/span><\/em>, de forma a regar a maior \u00e1rea poss\u00edvel.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2017\/11\/Aspersores_all.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"13146\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=13146\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2017\/11\/Aspersores_all.png\" data-orig-size=\"1535,490\" 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=\"Aspersores\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2017\/11\/Aspersores_all-1024x327.png\" class=\"aligncenter wp-image-13146\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2017\/11\/Aspersores_all-300x96.png\" alt=\"\" width=\"900\" height=\"287\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2017\/11\/Aspersores_all-300x96.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2017\/11\/Aspersores_all-768x245.png 768w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2017\/11\/Aspersores_all-1024x327.png 1024w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2017\/11\/Aspersores_all.png 1535w\" sizes=\"auto, (max-width: 900px) 100vw, 900px\" \/><\/a><\/p>\n<p>Copia a planta e sombreia a l\u00e1pis a \u00e1rea do jardim que vai ser regada, simultaneamente, pelos dois aspersores.<\/p>\n<p>Utiliza material de desenho e de medi\u00e7\u00e3o.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_13144' onClick='GTTabs_show(1,13144)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_13144'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p><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\": 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from geogebra.org\r\n\/\/ \"material_id\":12345,\r\n\/\/ use this instead of ggbBase64 to load a .ggb file\r\n\/\/ 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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': 1,'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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fam\u00edlia Coelho comprou dois aspersores de 5 m de alcance: um com \u00abbico 90\u00ba\u00bb e um com \u00abbico 270\u00ba\u00bb; colocou-os no jardim, nos pontos assinalados com <em><span style=\"color: #800000;\">X<\/span><\/em>, de forma a regar a maior \u00e1rea poss\u00edvel.<\/p>\n<p>Copia a planta e sombreia a l\u00e1pis a \u00e1rea do jardim que vai ser regada, simultaneamente, pelos dois aspersores.<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_13144' onClick='GTTabs_show(0,13144)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado A fam\u00edlia Coelho pretende instalar, no jardim da sua casa, um sistema de rega, utilizando aspersores. O alcance dos aspersores \u00e9 a dist\u00e2ncia que a \u00e1gua atinge, medida a partir do&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20559,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,187],"tags":[426,188],"series":[],"class_list":["post-13144","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-lugares-geometricos","tag-9-o-ano","tag-circunferencia"],"views":2405,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2017\/11\/9V1Pag107-4_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13144","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=13144"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13144\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20559"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=13144"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=13144"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=13144"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=13144"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}