{"id":1775,"date":"2016-09-15T02:41:03","date_gmt":"2016-09-15T01:41:03","guid":{"rendered":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/?p=1775"},"modified":"2018-02-17T02:05:53","modified_gmt":"2018-02-17T01:05:53","slug":"1775-2","status":"publish","type":"post","link":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/1775-2\/","title":{"rendered":"Aires \u00e9gales"},"content":{"rendered":"<h1>Projet d&#8217;activit\u00e9 TICE<\/h1>\n<p>&nbsp;<\/p>\n<h2>\u00c9nonc\u00e9 :<\/h2>\n<p>&nbsp;<\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"420\">Le rectangle ABCD a pour centre\u00a0O\u00a0et\u00a0AB\u00a0=\u00a08\u00a0cm\u00a0; le cercle de centre O a pour rayon <em>x<\/em> cm et est tangent \u00e0 deux c\u00f4t\u00e9s du rectangle.<\/p>\n<p>&nbsp;<\/p>\n<p>Le disque jaune et la partie verte peuvent-ils avoir la m\u00eame aire\u00a0?<\/td>\n<td width=\"231\">\n<h2><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-1776 alignright\" src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2016\/09\/Aires-\u00e9gales.jpg\" alt=\"Aires \u00e9gales\" width=\"226\" height=\"154\" \/><\/h2>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<h2>Pr\u00e9requis<\/h2>\n<ul>\n<li>\u00a0Notion de fonction<\/li>\n<li>\u00a0Mise en \u00e9quation<\/li>\n<li>\u00a0\u00c9quation produit<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h2>Objectifs<\/h2>\n<p>R\u00e9solution d&#8217;un probl\u00e8me par une approche graphique et fonctionnelle.<\/p>\n<p>&nbsp;<\/p>\n<h2>D\u00e9roulement de la s\u00e9quence<\/h2>\n<p>En classe enti\u00e8re \u00e0 l\u2019aide d\u2019un vid\u00e9oprojecteur.<\/p>\n<ul>\n<li>\u00a0Pr\u00e9sentation du probl\u00e8me \u00e0 l\u2019aide de la figure Geoplan (aires_egales_figure.g2w) qui permet de faire varier x.<\/li>\n<li>\u00a0Ouvrir l\u2019autre figure (aires_egales_courbes.g2w) et la mettre en mosa\u00efque verticale afin d\u2019observer les variations des aires en fonction de x.<\/li>\n<li>\u00a0L\u2019outil Geoplan ne permet pas (m\u00eame en diminuant le pas de x) de conjecturer la valeur exacte de x\u00a0; la mise en \u00e9quation du probl\u00e8me est indispensable\u00a0: elle utilise la r\u00e9solution d\u2019une \u00e9quation produit.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h2>Documents<\/h2>\n<ul>\n<li>\u00a0<a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2016\/09\/Aires-\u00e9gales.zip\">Aires \u00e9gales<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Projet d&#8217;activit\u00e9 TICE &nbsp; \u00c9nonc\u00e9 : &nbsp; Le rectangle ABCD a pour centre\u00a0O\u00a0et\u00a0AB\u00a0=\u00a08\u00a0cm\u00a0; le cercle de centre O a pour rayon x cm et est tangent \u00e0 deux c\u00f4t\u00e9s du rectangle. &nbsp; Le disque jaune et la partie verte peuvent-ils avoir la m\u00eame aire\u00a0? &nbsp; Pr\u00e9requis \u00a0Notion de fonction \u00a0Mise en \u00e9quation \u00a0\u00c9quation produit &nbsp; &hellip; <\/p>\n<p><a class=\"more-link btn\" href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/1775-2\/\">Lire la suite<\/a><\/p>\n","protected":false},"author":351,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"footnotes":""},"categories":[23,22,14],"tags":[],"class_list":["post-1775","post","type-post","status-publish","format-standard","hentry","category-seconde","category-lycee","category-numerique","nodate","item-wrap"],"_links":{"self":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/1775","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/users\/351"}],"replies":[{"embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/comments?post=1775"}],"version-history":[{"count":2,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/1775\/revisions"}],"predecessor-version":[{"id":1782,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/1775\/revisions\/1782"}],"wp:attachment":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/media?parent=1775"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/categories?post=1775"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/tags?post=1775"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}