{"id":1922,"date":"2016-09-24T20:02:26","date_gmt":"2016-09-24T19:02:26","guid":{"rendered":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/?p=1922"},"modified":"2018-02-17T02:05:33","modified_gmt":"2018-02-17T01:05:33","slug":"lair-de-rien","status":"publish","type":"post","link":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/lair-de-rien\/","title":{"rendered":"L&#8217;aire de rien"},"content":{"rendered":"<h2>Objectifs<\/h2>\n<ul>\n<li>Elaborer des algorithmes.<\/li>\n<li>Introduire la notion de fonction affine par morceaux<\/li>\n<\/ul>\n<ul>\n<li>A travers l\u2019\u00e9laboration d\u2019algorithmes permettant de calculer une aire et de repr\u00e9senter graphiquement cette aire, l\u2019objectif est d\u2019introduire la notion de fonction affine par morceaux.<\/li>\n<li>On commence par faire \u00e9crire un algorithme simple aux \u00e9l\u00e8ves n\u2019utilisant que des instructions conditionnelles\u00a0; on leur demande ensuite de le modifier afin d\u2019obtenir un nuage de points repr\u00e9sentant l\u2019aire hachur\u00e9e en fonction de la position du point M lorsque celui-ci parcourt le segment [AB].<\/li>\n<\/ul>\n<h2>Pr\u00e9requis\u00a0:<\/h2>\n<ul>\n<li>Instructions conditionnelles, boucle \u00ab\u00a0tant que\u00a0\u00bb<\/li>\n<li>Fonctions affines<\/li>\n<\/ul>\n<h2>\u00c9nonc\u00e9 :<\/h2>\n<p>[AB] est un segment de longueur 12 cm.<\/p>\n<p>M est un point qui se d\u00e9place entre A et B de mani\u00e8re \u00e0 d\u00e9finir la surface hachur\u00e9e.<\/p>\n<p>Le but de l&#8217;activit\u00e9 est de calculer et de repr\u00e9senter l&#8217;aire de la surface hachur\u00e9e en fonction de la distance AM.<\/p>\n<h2>Organisation pratique\u00a0:<\/h2>\n<p>En salle informatique, la premi\u00e8re question pouvant \u00eatre trait\u00e9e pr\u00e9alablement \u00e0 la maison.<\/p>\n<h2>Fichiers disponibles<\/h2>\n<ul>\n<li><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2017\/06\/aire_de_rien_eleve.pdf\">Fiche \u00e9l\u00e8ve L&#8217;air de rien<\/a><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2016\/09\/aire_de_rien_eleve.pdf\">\u00a0<\/a>(pdf)<\/li>\n<li><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2017\/06\/aire_de_rien.pdf\">Fiche professeur L&#8217;aire de rien<\/a><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2016\/09\/aire_de_rien.pdf\"> \u200e<\/a> (pdf)<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Objectifs Elaborer des algorithmes. Introduire la notion de fonction affine par morceaux A travers l\u2019\u00e9laboration d\u2019algorithmes permettant de calculer une aire et de repr\u00e9senter graphiquement cette aire, l\u2019objectif est d\u2019introduire la notion de fonction affine par morceaux. On commence par faire \u00e9crire un algorithme simple aux \u00e9l\u00e8ves n\u2019utilisant que des instructions conditionnelles\u00a0; on leur demande &hellip; <\/p>\n<p><a class=\"more-link btn\" href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/lair-de-rien\/\">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-1922","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\/1922","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=1922"}],"version-history":[{"count":7,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/1922\/revisions"}],"predecessor-version":[{"id":2812,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/1922\/revisions\/2812"}],"wp:attachment":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/media?parent=1922"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/categories?post=1922"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/tags?post=1922"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}