{"id":2587,"date":"2019-11-01T11:33:51","date_gmt":"2019-11-01T10:33:51","guid":{"rendered":"http:\/\/jhmaths.fr\/?page_id=2587"},"modified":"2020-10-30T17:49:12","modified_gmt":"2020-10-30T16:49:12","slug":"geometrie-reperee","status":"publish","type":"page","link":"https:\/\/jhmaths.fr\/index.php\/seconde\/geometrie-reperee\/","title":{"rendered":"G\u00e9om\u00e9trie rep\u00e9r\u00e9e"},"content":{"rendered":"<p>[vc_row][vc_column][vc_column_text el_id=\u00a0\u00bbobjectif-2&Prime;]<\/p>\n<h1 style=\"text-align: center;\">Distance<\/h1>\n<p>[\/vc_column_text][\/vc_column][\/vc_row][vc_row content_placement=\u00a0\u00bbmiddle\u00a0\u00bb][vc_column][vc_column_text el_class=\u00a0\u00bbproprieteseconde propriete\u00a0\u00bb]<span class=\"proprieteseconde\">La distance \\(AB\\) entre deux points \\(A\\) et \\(B\\) dans un rep\u00e8re se calcule en faisant : \\(AB=\\sqrt{\\left(x_B-x_A \\right)^2 + \\left(y_B-y_A \\right)^2}\\)<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2596 size-full\" src=\"https:\/\/jhmaths.fr\/wp-content\/uploads\/2019\/11\/distance_entre_deux_points.png\" alt=\"\" width=\"888\" height=\"429\" srcset=\"https:\/\/jhmaths.fr\/wp-content\/uploads\/2019\/11\/distance_entre_deux_points.png 888w, https:\/\/jhmaths.fr\/wp-content\/uploads\/2019\/11\/distance_entre_deux_points-300x145.png 300w, https:\/\/jhmaths.fr\/wp-content\/uploads\/2019\/11\/distance_entre_deux_points-768x371.png 768w, https:\/\/jhmaths.fr\/wp-content\/uploads\/2019\/11\/distance_entre_deux_points-806x389.png 806w, https:\/\/jhmaths.fr\/wp-content\/uploads\/2019\/11\/distance_entre_deux_points-558x270.png 558w, https:\/\/jhmaths.fr\/wp-content\/uploads\/2019\/11\/distance_entre_deux_points-655x316.png 655w, https:\/\/jhmaths.fr\/wp-content\/uploads\/2019\/11\/distance_entre_deux_points-820x396.png 820w\" sizes=\"auto, (max-width: 888px) 100vw, 888px\" \/>[\/vc_column_text][\/vc_column][\/vc_row][vc_row content_placement=\u00a0\u00bbmiddle\u00a0\u00bb][vc_column][vc_column_text]<\/p>\n<div style=\"text-align: center;\"><iframe loading=\"lazy\" src=\"https:\/\/www.youtube.com\/embed\/pP8ebg8W9o8\" width=\"320\" height=\"180\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/div>\n<p>[\/vc_column_text][\/vc_column][\/vc_row][vc_row content_placement=\u00a0\u00bbmiddle\u00a0\u00bb][vc_column width=\u00a0\u00bb1\/2&Prime;][vc_column_text]<\/p>\n<h3>Quizz (3 questions)<\/h3>\n<p><div class=\"h5p-iframe-wrapper\"><iframe id=\"h5p-iframe-42\" class=\"h5p-iframe\" data-content-id=\"42\" style=\"height:1px\" src=\"about:blank\" frameBorder=\"0\" scrolling=\"no\" title=\"Calculer une distance\"><\/iframe><\/div>[\/vc_column_text][\/vc_column][vc_column width=\u00a0\u00bb1\/2&Prime;][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text el_id=\u00a0\u00bbobjectif-3&Prime;]<\/p>\n<h1 style=\"text-align: center;\">Milieu<\/h1>\n<p>[\/vc_column_text][\/vc_column][\/vc_row][vc_row content_placement=\u00a0\u00bbmiddle\u00a0\u00bb][vc_column][vc_column_text el_class=\u00a0\u00bbproprieteseconde propriete\u00a0\u00bb]<span class=\"proprieteseconde\">Le milieu de deux points \\(A\\) et \\(B\\) a pour coordonn\u00e9es <\/span><\/p>\n<p><span class=\"proprieteseconde\">\\(x=\\frac{x_A+x_B}{2}\\) <\/span><\/p>\n<p><span class=\"proprieteseconde\">et <\/span><\/p>\n<p><span class=\"proprieteseconde\">\\(y=\\frac{y_A+y_B}{2}\\)<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span class=\"proprieteseconde\">(ce sont des moyennes)<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2604 size-full\" src=\"https:\/\/jhmaths.fr\/wp-content\/uploads\/2019\/11\/milieu.png\" alt=\"\" width=\"775\" height=\"258\" srcset=\"https:\/\/jhmaths.fr\/wp-content\/uploads\/2019\/11\/milieu.png 775w, https:\/\/jhmaths.fr\/wp-content\/uploads\/2019\/11\/milieu-300x100.png 300w, https:\/\/jhmaths.fr\/wp-content\/uploads\/2019\/11\/milieu-768x256.png 768w, https:\/\/jhmaths.fr\/wp-content\/uploads\/2019\/11\/milieu-558x186.png 558w, https:\/\/jhmaths.fr\/wp-content\/uploads\/2019\/11\/milieu-655x218.png 655w\" sizes=\"auto, (max-width: 775px) 100vw, 775px\" \/>[\/vc_column_text][\/vc_column][\/vc_row][vc_row content_placement=\u00a0\u00bbmiddle\u00a0\u00bb][vc_column][vc_column_text]<\/p>\n<div style=\"text-align: center;\"><iframe loading=\"lazy\" src=\"https:\/\/www.youtube.com\/embed\/YTQCtSvxAmM\" width=\"320\" height=\"180\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/div>\n<p>[\/vc_column_text][\/vc_column][\/vc_row][vc_row content_placement=\u00a0\u00bbmiddle\u00a0\u00bb][vc_column width=\u00a0\u00bb1\/2&Prime;][vc_column_text]<\/p>\n<h3>Quizz (3 questions)<\/h3>\n<p><div class=\"h5p-iframe-wrapper\"><iframe id=\"h5p-iframe-43\" class=\"h5p-iframe\" data-content-id=\"43\" style=\"height:1px\" src=\"about:blank\" frameBorder=\"0\" scrolling=\"no\" title=\"Calculer un milieu (plusieurs questions)\"><\/iframe><\/div>[\/vc_column_text][\/vc_column][vc_column width=\u00a0\u00bb1\/2&Prime;][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text el_id=\u00a0\u00bbobjectif-4&Prime;]<\/p>\n<h1 style=\"text-align: center;\">Alignement<\/h1>\n<p>[\/vc_column_text][\/vc_column][\/vc_row][vc_row content_placement=\u00a0\u00bbmiddle\u00a0\u00bb][vc_column][vc_column_text el_class=\u00a0\u00bbproprieteseconde propriete\u00a0\u00bb]Pour montrer par le calcul que 3 points A,B, C sont align\u00e9s, on peut au choix montrer que :<\/p>\n<ul>\n<li>l&rsquo;un des trois points est le milieu des deux autres (par ex A milieu de [BC] )<\/li>\n<li>l&rsquo;une des distances est \u00e9gale \u00e0 la somme des deux autres (par ex AC = AB + BC)<\/li>\n<\/ul>\n<p>[\/vc_column_text][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text]<\/p>\n<h2 style=\"text-align: center;\">Plan de travail<\/h2>\n<p>[\/vc_column_text][\/vc_column][\/vc_row][vc_row][vc_column][vc_single_image source=\u00a0\u00bbexternal_link\u00a0\u00bb onclick=\u00a0\u00bbimg_link_large\u00a0\u00bb img_link_target=\u00a0\u00bb_blank\u00a0\u00bb custom_src=\u00a0\u00bbhttps:\/\/docs.google.com\/drawings\/d\/e\/2PACX-1vQlH8NrQVJzQrSQCfN4aP-xUhUOsM7OD1lpfPVF6L0wJv7WpsatVOAzBjw6AIVN9f-3IHuyj1M382x2\/pub?w=960&amp;h=720&Prime;][\/vc_column][\/vc_row]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[vc_row][vc_column][vc_column_text el_id=\u00a0\u00bbobjectif-2&Prime;] Distance [\/vc_column_text][\/vc_column][\/vc_row][vc_row content_placement=\u00a0\u00bbmiddle\u00a0\u00bb][vc_column][vc_column_text el_class=\u00a0\u00bbproprieteseconde propriete\u00a0\u00bb]La distance \\(AB\\) entre deux points \\(A\\) et \\(B\\) dans un rep\u00e8re se calcule en faisant : \\(AB=\\sqrt{\\left(x_B-x_A \\right)^2 + \\left(y_B-y_A \\right)^2}\\) [\/vc_column_text][\/vc_column][\/vc_row][vc_row content_placement=\u00a0\u00bbmiddle\u00a0\u00bb][vc_column][vc_column_text] [\/vc_column_text][\/vc_column][\/vc_row][vc_row content_placement=\u00a0\u00bbmiddle\u00a0\u00bb][vc_column width=\u00a0\u00bb1\/2&Prime;][vc_column_text] Quizz (3 questions) [\/vc_column_text][\/vc_column][vc_column width=\u00a0\u00bb1\/2&Prime;][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text el_id=\u00a0\u00bbobjectif-3&Prime;] Milieu [\/vc_column_text][\/vc_column][\/vc_row][vc_row content_placement=\u00a0\u00bbmiddle\u00a0\u00bb][vc_column][vc_column_text el_class=\u00a0\u00bbproprieteseconde propriete\u00a0\u00bb]Le milieu de deux points \\(A\\) et \\(B\\) a pour coordonn\u00e9es \\(x=\\frac{x_A+x_B}{2}\\) [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2085,"menu_order":11,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"folder":[],"class_list":["post-2587","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages\/2587","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/comments?post=2587"}],"version-history":[{"count":25,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages\/2587\/revisions"}],"predecessor-version":[{"id":3228,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages\/2587\/revisions\/3228"}],"up":[{"embeddable":true,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages\/2085"}],"wp:attachment":[{"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/media?parent=2587"}],"wp:term":[{"taxonomy":"folder","embeddable":true,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/folder?post=2587"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}