{"id":2334,"date":"2016-10-10T14:57:06","date_gmt":"2016-10-10T13:57:06","guid":{"rendered":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/?p=2334"},"modified":"2018-02-17T02:05:10","modified_gmt":"2018-02-17T01:05:10","slug":"produit-scalaire-1ere-s-chap12-3-semaines","status":"publish","type":"post","link":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/produit-scalaire-1ere-s-chap12-3-semaines\/","title":{"rendered":"Produit scalaire (1\u00e8re S, chap12, 3 semaines)"},"content":{"rendered":"<p>Retour \u00e0 la <strong><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/exemple-de-progression-1ere-s\/\">progression propos\u00e9e pour la classe de 1\u00e8re S<\/a><\/strong><\/p>\n<h1>Objectifs<\/h1>\n<ul>\n<li>D\u00e9finition et propri\u00e9t\u00e9s<\/li>\n<\/ul>\n<ul>\n<li>Vecteur normal \u00e0 une droite<\/li>\n<\/ul>\n<ul>\n<li>Applications du produit scalaire (calculs d\u2019angles et de longueurs ; \u00e9quations de cercle ; formules d\u2019addition et de duplication)<\/li>\n<\/ul>\n<p>Il s&#8217;agit d&#8217;exploiter toutes les d\u00e9finitions en fonction du probl\u00e8me pos\u00e9.<\/p>\n<p>Il faut apprendre aux \u00e9l\u00e8ves \u00e0 choisir une m\u00e9thode, et notamment \u00e0 penser au choix d\u2019un rep\u00e8re.<\/p>\n<p>C\u2019est l\u2019occasion d\u2019aborder les calculs de longueurs et d\u2019angles dans un triangle quelconque<\/p>\n<h1>Ressources pour activit\u00e9s, devoirs maison, \u2026<\/h1>\n<h2>En lien direct avec le th\u00e8me<\/h2>\n<ul>\n<li><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2016\/10\/carre.pdf\">Carr\u00e9<\/a><\/li>\n<\/ul>\n<h2>Algorithmique, calcul formel<\/h2>\n<ul>\n<li>Algorithme testant si deux droites (AB) et (CD) sont perpendiculaires<\/li>\n<li>Algorithme donnant une \u00e9quation de la perpendiculaire \u00e0 une droite passant par un point donn\u00e9<\/li>\n<li><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2016\/10\/aire_maximale.zip\">Aire maximale avec calcul formel<\/a><\/li>\n<\/ul>\n<h2>Transversal<\/h2>\n<ul>\n<li><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2016\/10\/carre_et_triangle_rectangle.pdf\">Carr\u00e9 et triangle rectangle<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Retour \u00e0 la progression propos\u00e9e pour la classe de 1\u00e8re S Objectifs D\u00e9finition et propri\u00e9t\u00e9s Vecteur normal \u00e0 une droite Applications du produit scalaire (calculs d\u2019angles et de longueurs ; \u00e9quations de cercle ; formules d\u2019addition et de duplication) Il s&#8217;agit d&#8217;exploiter toutes les d\u00e9finitions en fonction du probl\u00e8me pos\u00e9. Il faut apprendre aux \u00e9l\u00e8ves &hellip; <\/p>\n<p><a class=\"more-link btn\" href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/produit-scalaire-1ere-s-chap12-3-semaines\/\">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":[22,27],"tags":[117,116,128,129,130,126,127,125,123,124],"class_list":["post-2334","post","type-post","status-publish","format-standard","hentry","category-lycee","category-voie-generale","tag-angle","tag-cercle","tag-equation-de-cercle","tag-formule-daddition","tag-formule-de-duplication-repere","tag-longueur","tag-normal","tag-orthogonalite","tag-produit","tag-scalaire","nodate","item-wrap"],"_links":{"self":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/2334","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=2334"}],"version-history":[{"count":5,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/2334\/revisions"}],"predecessor-version":[{"id":2346,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/2334\/revisions\/2346"}],"wp:attachment":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/media?parent=2334"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/categories?post=2334"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/tags?post=2334"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}