{"id":1574,"date":"2016-08-17T00:35:58","date_gmt":"2016-08-16T23:35:58","guid":{"rendered":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/?p=1574"},"modified":"2018-02-17T02:05:53","modified_gmt":"2018-02-17T01:05:53","slug":"vrai-ou-faux","status":"publish","type":"post","link":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/vrai-ou-faux\/","title":{"rendered":"Vrai ou Faux"},"content":{"rendered":"<h1>Exercice 1<\/h1>\n<p>Dans ce qui suit, <em>x<\/em> et <em>y<\/em> sont deux r\u00e9els et <em>n<\/em> est un entier naturel.<\/p>\n<p>Dire si les \u00e9nonc\u00e9s ci-dessous sont vrais ou faux. Lorsque l\u2019\u00e9nonc\u00e9 est faux, citer un contre-exemple.<\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li>Si <em>x<\/em> <sup>2<\/sup> \u2265 4 alors <em>x<\/em> \u2265 2.<\/li>\n<li>Si un nombre est multiple de 4, alors il est multiple de 2.<\/li>\n<li>Si un nombre est multiple de 2, alors il est multiple de 4.<\/li>\n<li>Si <em>n<\/em> est pair alors <em>n<\/em> est multiple de 6.<\/li>\n<li>Si <em>n<\/em> est multiple de 6 alors <em>n<\/em> est pair.<\/li>\n<li>Le nombre <em>x<\/em> est sup\u00e9rieur \u00e0 3 donc il est sup\u00e9rieur \u00e0 2.<\/li>\n<li>Le nombre <em>x<\/em> est sup\u00e9rieur \u00e0 3 car il est sup\u00e9rieur \u00e0 2.<\/li>\n<li><em>y<\/em><sup>2<\/sup> = 9 donc <em>y<\/em> = 3.<\/li>\n<li>Si <em>x<\/em> \u2208 [-1 ;4] alors <em>x<\/em> \u2208 [-2 ;5]<\/li>\n<li>Si <em>x<\/em> \u2208 [-2 ;5] alors<em> x<\/em> \u2208 [-1 ;4]<\/li>\n<li>Si I est le milieu de [AB], alors AI = IB.<\/li>\n<li>Si AI = IB, alors I est le milieu de [AB].<\/li>\n<li>4 est solution de l\u2019\u00e9quation\u00a0(<em>x<\/em> \u2013 4)(<em>x<\/em> \u2013 3) = 0.<\/li>\n<li>Si <em>x<\/em> &lt; 2 alors <em>x<\/em> &lt; 3.<\/li>\n<li>Si <em>x<\/em> &lt; 3 alors <em>x<\/em> \u2264 \u00a03.<\/li>\n<li>Si <em>x<\/em> &lt; 2 alors <em>x<\/em> \u2264 \u00a03.<\/li>\n<li>Si <em>x<\/em> \u2208 [0 ;3] alors \u20131 &lt; <em>x<\/em> &lt; 3.<\/li>\n<li>Si <em>x<\/em> \u2208 ]0 ;3[ alors \u20131 \u2264 \u00a0<em>x<\/em> \u2264 \u00a03.<\/li>\n<li>Si <em>x<\/em> &lt; 3, alors 2 <em>x<\/em> \u2013 5 &lt; 2.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h1>Exercice 2<\/h1>\n<p>VRAI ou FAUX ? Justifier la r\u00e9ponse.<\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li>Pour tout r\u00e9el <em>x<\/em>, les deux nombres 2(<em>x<\/em> + 1)(<em>x<\/em> \u2013 3) et (2 <em>x<\/em> + 2)( 2 <em>x<\/em> \u2013 6) sont \u00e9gaux.<\/li>\n<li>Pour tout r\u00e9el <em>x<\/em>, \u221a(<em>x<\/em>\u00b2+9)=<em>x<\/em>+3 .<\/li>\n<li>La somme de trois nombres entiers cons\u00e9cutifs est divisible par 3.<\/li>\n<li>Le carr\u00e9 de tout nombre r\u00e9el est sup\u00e9rieur ou \u00e9gal \u00e0 ce nombre.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2016\/08\/vrai_faux.docx\">Fiche \u00e9l\u00e8ve Vrai ou Faux word<\/a><\/p>\n<p><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2016\/08\/vrai_faux.pdf\">Fiche \u00e9l\u00e8ve Vrai ou Faux pdf<\/a><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Exercice 1 Dans ce qui suit, x et y sont deux r\u00e9els et n est un entier naturel. Dire si les \u00e9nonc\u00e9s ci-dessous sont vrais ou faux. Lorsque l\u2019\u00e9nonc\u00e9 est faux, citer un contre-exemple. &nbsp; Si x 2 \u2265 4 alors x \u2265 2. Si un nombre est multiple de 4, alors il est multiple &hellip; <\/p>\n<p><a class=\"more-link btn\" href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/vrai-ou-faux\/\">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-1574","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\/1574","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=1574"}],"version-history":[{"count":3,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/1574\/revisions"}],"predecessor-version":[{"id":1579,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/1574\/revisions\/1579"}],"wp:attachment":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/media?parent=1574"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/categories?post=1574"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/tags?post=1574"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}