{"id":1847,"date":"2016-09-18T20:57:53","date_gmt":"2016-09-18T19:57:53","guid":{"rendered":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/?p=1847"},"modified":"2018-02-17T02:05:52","modified_gmt":"2018-02-17T01:05:52","slug":"triangle-dans-un-pave","status":"publish","type":"post","link":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/triangle-dans-un-pave\/","title":{"rendered":"Triangle dans un pav\u00e9"},"content":{"rendered":"<h1 class=\"IntroNormal\"><span class=\"IntroFond\">Objectifs<\/span> :<\/h1>\n<p class=\"IntroP1\">Conjecturer, d\u00e9montrer.<\/p>\n<h1 class=\"IntroNormal\"><span class=\"IntroFond\">Cadre d\u2019utilisation<\/span> :<\/h1>\n<p class=\"IntroP1\">L\u2019exercice est d\u2019abord pos\u00e9 de mani\u00e8re tr\u00e8s ouverte aux \u00e9l\u00e8ves.<\/p>\n<p class=\"IntroP1\">Lors de la synth\u00e8se en classe le logiciel permet de tester les diff\u00e9rentes conjectures et \u00e9ventuellement d\u2019en proposer d\u2019autres. Il permet ensuite de faire appara\u00eetre des \u00e9l\u00e9ments utiles \u00e0 la d\u00e9monstration.<\/p>\n<h1 class=\"IntroNormal\"><span class=\"IntroFond\">Probl\u00e8me<\/span> :<\/h1>\n<div>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"image_droite alignright\" src=\"http:\/\/mathematiques.ac-bordeaux.fr\/lycee2010\/mathsettice\/seconde\/geometrie\/tri_pav\/tri_pav.jpg\" alt=\"figure\" width=\"238\" height=\"175\" \/><\/p>\n<p class=\"IntroNormal\">ABCDEFGH est un parall\u00e9l\u00e9pip\u00e8de rectangle tel que : AB = 7 cm ; AE = 5 cm et AD = 6 cm. M est le point du segment [AE] tel que AM = 3 cm. N est un point du segment [EF].<\/p>\n<p class=\"IntroNormal\">Le triangle MCN peut-il \u00eatre rectangle ?<\/p>\n<\/div>\n<h1 class=\"P1\"><span class=\"IntroFond\">Fichiers disponibles<\/span> :<\/h1>\n<ul class=\"niv1\">\n<li><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2016\/09\/tri_pav_scn.pdf\">Fiche \u00e9l\u00e8ve Triangle dans pav\u00e9<\/a> <span class=\"PetitInLine\">(pdf)<\/span><\/li>\n<li><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2016\/09\/tri_pav.zip\">Fichiers Geoplan-Geospace Triangle dans pav\u00e9<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Objectifs : Conjecturer, d\u00e9montrer. Cadre d\u2019utilisation : L\u2019exercice est d\u2019abord pos\u00e9 de mani\u00e8re tr\u00e8s ouverte aux \u00e9l\u00e8ves. Lors de la synth\u00e8se en classe le logiciel permet de tester les diff\u00e9rentes conjectures et \u00e9ventuellement d\u2019en proposer d\u2019autres. Il permet ensuite de faire appara\u00eetre des \u00e9l\u00e9ments utiles \u00e0 la d\u00e9monstration. Probl\u00e8me : ABCDEFGH est un parall\u00e9l\u00e9pip\u00e8de rectangle &hellip; <\/p>\n<p><a class=\"more-link btn\" href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/triangle-dans-un-pave\/\">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":[1],"tags":[],"class_list":["post-1847","post","type-post","status-publish","format-standard","hentry","category-non-classe","nodate","item-wrap"],"_links":{"self":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/1847","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=1847"}],"version-history":[{"count":3,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/1847\/revisions"}],"predecessor-version":[{"id":1852,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/1847\/revisions\/1852"}],"wp:attachment":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/media?parent=1847"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/categories?post=1847"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/tags?post=1847"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}