{"id":1542,"date":"2016-08-16T23:29:06","date_gmt":"2016-08-16T22:29:06","guid":{"rendered":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/?p=1542"},"modified":"2018-02-17T02:05:53","modified_gmt":"2018-02-17T01:05:53","slug":"devoir-maison-n2","status":"publish","type":"post","link":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/devoir-maison-n2\/","title":{"rendered":"Distances et configuration"},"content":{"rendered":"<p>Soit (O, I, J) un rep\u00e8re orthonorm\u00e9. Soit les points A(6\u00a0; 1), B(3\u00a0; 5), D(11\u00a0; 1) et E(17\/2 ; 6).<\/p>\n<ol>\n<li>Montrer que E est le centre du cercle circonscrit au triangle ABD.<\/li>\n<\/ol>\n<ol start=\"2\">\n<li>Les droites (AE) et (BD) se coupent en K.<\/li>\n<li>Montrer que la droite (EA) est la m\u00e9diatrice du segment [BD].<\/li>\n<li>En d\u00e9duire la nature du triangle ABK.<\/li>\n<li>Calculer les coordonn\u00e9es du centre du cercle circonscrit au triangle BKA.<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2017\/06\/Distances-et-configuration.docx\">Fiche \u00e9l\u00e8ve Distances et configuration word<\/a><\/p>\n<p><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2017\/06\/Distances-et-configuration.pdf\">Fiche \u00e9l\u00e8ve Distances et configuration pdf<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Soit (O, I, J) un rep\u00e8re orthonorm\u00e9. Soit les points A(6\u00a0; 1), B(3\u00a0; 5), D(11\u00a0; 1) et E(17\/2 ; 6). Montrer que E est le centre du cercle circonscrit au triangle ABD. Les droites (AE) et (BD) se coupent en K. Montrer que la droite (EA) est la m\u00e9diatrice du segment [BD]. En d\u00e9duire la &hellip; <\/p>\n<p><a class=\"more-link btn\" href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/devoir-maison-n2\/\">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],"tags":[],"class_list":["post-1542","post","type-post","status-publish","format-standard","hentry","category-seconde","category-lycee","nodate","item-wrap"],"_links":{"self":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/1542","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=1542"}],"version-history":[{"count":6,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/1542\/revisions"}],"predecessor-version":[{"id":2783,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/1542\/revisions\/2783"}],"wp:attachment":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/media?parent=1542"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/categories?post=1542"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/tags?post=1542"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}