{"id":6005,"date":"2015-05-23T21:18:00","date_gmt":"2015-05-23T19:18:00","guid":{"rendered":"https:\/\/kamerpower.com\/?p=6005"},"modified":"2025-02-01T00:32:44","modified_gmt":"2025-01-31T23:32:44","slug":"epreuve-concours-enieg-cameroun-2013-mathematiques-niveau-bepc","status":"publish","type":"post","link":"https:\/\/kamerpower.com\/fr\/epreuve-concours-enieg-cameroun-2013-mathematiques-niveau-bepc\/","title":{"rendered":"Epreuve concours ENIEG Cameroun 2013 Mathematiques Niveau BEPC"},"content":{"rendered":"<p style=\"text-align: center;\"><span style=\"color: #000000;\">Minist\u00e8re des Enseignements\u00a0Secondaires<\/span><br \/>\n<span style=\"color: #000000;\">Direction des Examens, des Concours\u00a0<\/span><span style=\"color: #000000;\">et de la Certification\u00a0<span style=\"color: #008000; text-shadow: 2px 0 2px #000;\">KA<\/span><span style=\"color: #ff0000; text-shadow: 2px 0 2px #000;\">M<\/span><span style=\"color: #ffcc00; text-shadow: 2px 0 2px #000;\">ER<\/span><span style=\"color: #800080; text-shadow: 2px 0 2px #000;\">POWER<\/span><span style=\"color: #3366ff; text-shadow: 2px 0 2px #000;\">.COM<\/span><\/span><\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 counter-hierarchy ez-toc-counter ez-toc-custom ez-toc-container-direction\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Contents<\/p>\n<label for=\"ez-toc-cssicon-toggle-item-69e4d3e0d3578\" class=\"ez-toc-cssicon-toggle-label\"><span class=\"ez-toc-cssicon\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #000000;color:#000000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #000000;color:#000000\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/label><input type=\"checkbox\"  id=\"ez-toc-cssicon-toggle-item-69e4d3e0d3578\"  aria-label=\"Toggle\" \/><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/kamerpower.com\/fr\/epreuve-concours-enieg-cameroun-2013-mathematiques-niveau-bepc\/#epreuve-concours-enieg-cameroun-2013\" >Epreuve concours ENIEG Cameroun 2013<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/kamerpower.com\/fr\/epreuve-concours-enieg-cameroun-2013-mathematiques-niveau-bepc\/#exercice-10-points-kamerpowercom\" >Exercice: 10 points \u00a0KAMERPOWER.COM<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/kamerpower.com\/fr\/epreuve-concours-enieg-cameroun-2013-mathematiques-niveau-bepc\/#a-%e2%80%93-concours-enieg-cameroun\" >A &#8211;\u00a0concours ENIEG Cameroun<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/kamerpower.com\/fr\/epreuve-concours-enieg-cameroun-2013-mathematiques-niveau-bepc\/#b-%e2%80%93-concours-enieg-cameroun\" >B\u00a0&#8211;\u00a0concours ENIEG Cameroun<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/kamerpower.com\/fr\/epreuve-concours-enieg-cameroun-2013-mathematiques-niveau-bepc\/#probleme-10-points-kamerpowercom\" >Probl\u00e8me: 10 points\u00a0KAMERPOWER.COM<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/kamerpower.com\/fr\/epreuve-concours-enieg-cameroun-2013-mathematiques-niveau-bepc\/#epreuve-concours-enieg-cameroun-2013-mathematiques-niveau-bepc\" >Epreuve concours ENIEG Cameroun 2013 Mathematiques Niveau BEPC<\/a><\/li><\/ul><\/nav><\/div>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"epreuve-concours-enieg-cameroun-2013\"><\/span><span style=\"color: #3366ff;\"><a style=\"color: #3366ff;\" href=\"https:\/\/kamerpower.com\/fr\/epreuve-concours-enieg-cameroun-2013-mathematiques-niveau-bac\/\" target=\"_blank\" rel=\"noopener\">Epreuve concours ENIEG Cameroun 2013<\/a><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: center;\"><span style=\"color: #3366ff;\">CONCOURS ENIEG Session :<span style=\"color: #ff0000;\"> 2013<\/span><\/span><br \/>\n<span style=\"color: #3366ff;\">Niveau: <span style=\"color: #ff0000;\">BEPC Cameroun<\/span><\/span><br \/>\n<span style=\"color: #3366ff;\">Epreuve: <span style=\"color: #ff0000;\">Mathematiques<\/span><\/span><br \/>\n<span style=\"color: #3366ff;\">Dur\u00e9e: <span style=\"color: #ff0000;\">3heures\u00a0Coefficient: 4<\/span><\/span><\/p>\n<hr \/>\n<p style=\"text-align: center;\"><span style=\"color: #000000;\">Cette \u00e9preuve comporte deux parties\u00a0A et B\u00a0.<\/span><\/p>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"exercice-10-points-kamerpowercom\"><\/span><span style=\"color: #ff0000;\">Exercice: 10 points \u00a0<span style=\"color: #008000; text-shadow: 2px 0 2px #000;\">KA<\/span><span style=\"color: #ff0000; text-shadow: 2px 0 2px #000;\">M<\/span><span style=\"color: #ffcc00; text-shadow: 2px 0 2px #000;\">ER<\/span><span style=\"color: #800080; text-shadow: 2px 0 2px #000;\">POWER<\/span><span style=\"color: #3366ff; text-shadow: 2px 0 2px #000;\">.COM<\/span><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h3><span class=\"ez-toc-section\" id=\"a-%e2%80%93-concours-enieg-cameroun\"><\/span><span style=\"color: #3366ff;\">A &#8211;\u00a0concours ENIEG Cameroun<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"color: #000000;\">Cette partie est un questionnaire \u00e0 choix multiples. Pour chaque question, une seule\u00a0des quatre r\u00e9ponses propos\u00e9es est correcte. Indiquer sur la copie le num\u00e9ro de la\u00a0question ainsi que la lettre correspondant \u00e0 la r\u00e9ponse choisie. Aucune justification\u00a0n\u2018est demand\u00e9e.<\/span><\/p>\n<ol>\n<li><span style=\"color: #000000;\">L\u2019ensemble solution de l\u2019\u00e9quation x(x &#8211; 2) &#8211;\u00a03 =\u00a00 est \u00e9gal \u00e0:<\/span><br \/>\n<span style=\"color: #000000;\"> a) {3.2}; \u00a0b){-1}; \u00a0c){3,1}; d){-1,3}\u00a0 \u00a0 <span style=\"color: #3366ff;\">\u00a0[1pt]<\/span><\/span><\/li>\n<li><span style=\"color: #000000;\">A la librairie, un e\u2019l\u00e8ve ach\u00e8te des cahiers de 100 pages et des cahiers de\u00a0200 pages. Les cahiers de 100 pages co\u00fbtent 250 francs et ceux de 200\u00a0pages co\u00fbtent 450 francs. Sachant qu\u2019il a achet\u00e9 en tout 15 cahiers et qu&#8217;il\u00a0a d\u00e9pens\u00e9 4950 francs, les nombres de cahiers de 100 pages et de 200\u00a0pages sont respectivement;\u00a0<span style=\"color: #3366ff;\"> [1 pt]<\/span><\/span><br \/>\n<span style=\"color: #000000;\"> a) 9 et 6; b)1o et 5; c) 6 et 9; \u00a0d) 8 et 7.<\/span><\/li>\n<li><span style=\"color: #000000;\">L&#8217;expression sans radicale au d\u00e9nominateur du nombre \u00a0B = (2\u221a3 + \u221a5) \/ (\u221a3 &#8211; \u221a5) \u00a0<\/span><span style=\"color: #000000;\">\u00a0 \u00e9gale \u00e0; \u00a0\u00a0[1pt]<\/span><br \/>\n<span style=\"color: #000000;\"> a) \u00a0 \u00a0\u00a0 \u00a0(11+3\u221a5) \/ 2 \u00a0 ;<\/p>\n<p>b)\u00a0\u00a0 (-11+3\u221a5) \/ -2 ;<\/p>\n<p>c) 2 \u00a0;c) \u00a0\u00a0 (11+3\u221a5) \/ -2<\/span><\/li>\n<li><span style=\"color: #000000;\">L\u2019\u00e9criture sans le symbole valeur absolue du r\u00e9el C = |\u00a02\u221a3 + 5 |\u00a0 est \u00e9gale \u00e0;<\/span><br \/>\n<span style=\"color: #000000;\"> a) 2\u221a3 &#8211; 5\u00a0; b) 5 &#8211; 2\u221a3\u00a0\u00a0; c) \u00a0 -2\u221a3 &#8211; 5; \u00a0d) \u00a0 2\u221a3 + 5<\/span><\/li>\n<li><span style=\"color: #000000;\">On consid\u00e8re une s\u00e9rie repr\u00e9sent\u00e9e par le tableau suivant:<\/span><br \/>\n<table>\n<tbody>\n<tr>\n<td style=\"background: #000000;\" width=\"121\"><span style=\"color: #ff0000; background: #000000;\">Couleur<\/span><\/td>\n<td width=\"42\"><span style=\"color: #000000;\">A<\/span><\/td>\n<td width=\"34\"><span style=\"color: #000000;\">B<\/span><\/td>\n<td width=\"32\"><span style=\"color: #000000;\">C<\/span><\/td>\n<td width=\"54\"><span style=\"color: #000000;\">D<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"background: #000000;\" width=\"121\"><span style=\"color: #ff0000;\">Effectif<\/span><\/td>\n<td width=\"42\"><span style=\"color: #000000;\">12<\/span><\/td>\n<td width=\"34\"><span style=\"color: #000000;\">72<\/span><\/td>\n<td width=\"32\"><span style=\"color: #000000;\">15<\/span><\/td>\n<td width=\"54\"><span style=\"color: #000000;\">21<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span style=\"color: #000000;\"><span style=\"color: #ff0000;\">a.<\/span> La fr\u00e9quence correspondant \u00e0 la modalit\u00e9 B est \u00e9gale \u00e0;<\/span><br \/>\n<span style=\"color: #000000;\">a) 72% ; b) 72\/100\u00a0;c)72\/120\u00a0\u00a0;d) 1\/72<\/span><br \/>\n<span style=\"color: #000000;\"><span style=\"color: #ff0000;\">b.<\/span> Dans la repr\u00e9sentation de cette s\u00e9rie par un diagramme circulaire, la\u00a0modalit\u00e9 D est repr\u00e9sent\u00e9e par un secteur d\u2019angle au centre<\/span><br \/>\n<span style=\"color: #000000;\">a) 21\u00b0 ; b) 63\u00b0 ; c)\u00a021\/360 ;d) 360\/21.<\/span><\/li>\n<li><span style=\"color: #000000;\">\u00a0Un triangle ABC rectangle en A est tel que AB = 3\u221a5 , AC = 5\u221a3 . La\u00a0longueur du segment [BC] est \u00e9gale \u00e0;<\/span><br \/>\n<span style=\"color: #000000;\">a) 2\u221a2\u221a15 ; b)\u00a08(\u221a5+\u221a3) ;c) 4\u221a15; \u00a0d) \u00a0 \u221a[3(\u221a5) + \u00a05(\u221a3)]<\/span><\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"b-%e2%80%93-concours-enieg-cameroun\"><\/span><span style=\"color: #3366ff;\">B\u00a0&#8211;\u00a0concours ENIEG Cameroun<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"color: #000000;\">Pr\u00e9ciser si les affirmations suivantes sont: <span style=\"color: #ff0000;\">vraie(V)<\/span> ou <span style=\"color: #ff0000;\">fausse (F)<\/span>:<\/span><\/p>\n<ol>\n<li><span style=\"color: #000000;\">\u00a0La valeur exacte de <b>\u03c0<\/b> est \u00e9gale \u00e0 3,14. <span style=\"color: #3366ff;\">[1 pt]<\/span><\/span><\/li>\n<li><span style=\"color: #000000;\">Dans une s\u00e9rie statistique, la moyenne est toujours un r\u00e9el positif. <span style=\"color: #3366ff;\">[1 pt]<\/span><\/span><\/li>\n<li><span style=\"color: #000000;\">La hauteur d\u2019une pyramide de volume 8m<sup>3<\/sup>\u00a0et de base un carr\u00e9 de 4m de\u00a0c\u00f4t\u00e9 est \u00e9gale \u00e0 1m; \u00a0<span style=\"color: #3366ff;\"> [1 pt]<\/span><\/span><\/li>\n<\/ol>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"probleme-10-points-kamerpowercom\"><\/span><span style=\"color: #ff0000;\">Probl\u00e8me: 10 points\u00a0<span style=\"color: #008000; text-shadow: 2px 0 2px #000;\">KA<\/span><span style=\"color: #ff0000; text-shadow: 2px 0 2px #000;\">M<\/span><span style=\"color: #ffcc00; text-shadow: 2px 0 2px #000;\">ER<\/span><span style=\"color: #800080; text-shadow: 2px 0 2px #000;\">POWER<\/span><span style=\"color: #3366ff; text-shadow: 2px 0 2px #000;\">.COM<\/span><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"color: #000000;\">Dans le plan muni du rep\u00e8re orthonorm\u00e9 (O, i, j\u00a0), On consid\u00e8re les points A( &#8211; 2 ; 1),\u00a0B(-2 ; -2) et C(2 ; 1).<\/span><\/p>\n<ol>\n<li><span style=\"color: #000000;\"><span style=\"color: #ff0000;\">a.<\/span>\u00a0Placer les points A, B et C dans le plan muni du rep\u00e8re (O, i, j\u00a0). <span style=\"color: #3366ff;\">[1,5pt]<\/span><\/span><br \/>\n<span style=\"color: #000000;\"><span style=\"color: #ff0000;\">b<\/span>. Calculer les distances AB, AC et BC ; en d\u00e9duire la nature du triangle ABC.<span style=\"color: #3366ff;\"> [1,5pt]<\/span><\/span><\/li>\n<li><span style=\"color: #000000;\">Calculer les coordonn\u00e9es du point I, milieu du segment [BC] puis placer I. <span style=\"color: #3366ff;\">[1 pt]<\/span><\/span><\/li>\n<li><span style=\"color: #000000;\">La parall\u00e8le \u00e0 la droite (AC) passant par l coupe la droite (AB) en E.<\/span><br \/>\n<span style=\"color: #000000;\"><span style=\"color: #ff0000;\">a<\/span>. D\u00e9montrer que le point E est le milieu du segment [AB]. <span style=\"color: #3366ff;\">[0,5pt]<\/span><\/span><br \/>\n<span style=\"color: #000000;\"><span style=\"color: #ff0000;\">b.<\/span>\u00a0D\u00e9duire par une \u00e9galit\u00e9 vectorielle que les vecteurs IE\u00a0et CA\u00a0sont colin\u00e9aires.\u00a0<span style=\"color: #3366ff;\">[0.5pt]<\/span><\/span><\/li>\n<li><span style=\"color: #000000;\">On d\u00e9signe par M un point de la demi-droite\u00a0[CA] n\u2019appartenant pas au\u00a0segment [AC]. La parall\u00e8le \u00e0 la droite (AB) passant par M coupe la droite\u00a0(BC) en N.<\/span><br \/>\n<span style=\"color: #000000;\">On pose AM = x<\/span><br \/>\n<span style=\"color: #000000;\">D\u00e9montrer que BN = (5\/4)x\u00a0. <span style=\"color: #3366ff;\">[1 pt]<\/span><\/span><\/li>\n<li><span style=\"color: #000000;\">Soit f l\u2019application lin\u00e9aire d\u00e9finie par f(x) = (5\/4)x \u00a0.<\/span><br \/>\n<span style=\"color: #000000;\"><span style=\"color: #ff0000;\">a<\/span>.\u00a0Quel est le sens de variation de f ?<span style=\"color: #3366ff;\"> [0,5pt]<\/span><\/span><br \/>\n<span style=\"color: #000000;\"><span style=\"color: #ff0000;\">b<\/span>. Repr\u00e9senter l&#8217;application f dans le rep\u00e8re pr\u00e9c\u00e9dent.<span style=\"color: #3366ff;\"> [1,5pt]<\/span><\/span><\/li>\n<li><span style=\"color: #000000;\">Calculer le volume du c\u00f4ne engendr\u00e9 par la r\u00e9volution du segment [BC]\u00a0autour de la droite (AC). <span style=\"color: #3366ff;\">[2pts]<\/span><\/span><\/li>\n<\/ol>\n<h2 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"epreuve-concours-enieg-cameroun-2013-mathematiques-niveau-bepc\"><\/span><span style=\"color: #3366ff;\">Epreuve <a style=\"color: #3366ff;\" href=\"https:\/\/kamerpower.com\/fr\/epreuve-concours-enieg-cameroun-2013-mathematiques-niveau-bac\/\" target=\"_blank\" rel=\"noopener\">concours ENIEG Cameroun<\/a> 2013 Mathematiques Niveau BEPC<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n","protected":false},"excerpt":{"rendered":"<p>&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":3283,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_themeisle_gutenberg_block_has_review":false,"footnotes":""},"categories":[1701],"tags":[1827,1712,1706],"class_list":["post-6005","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-epreuves","tag-epreuve-concours-dentree-aux-enieg-cameroun","tag-epreuve-de-concours-dentree-aux-grandes-ecoles-cameroun","tag-mathematiques"],"_links":{"self":[{"href":"https:\/\/kamerpower.com\/fr\/wp-json\/wp\/v2\/posts\/6005","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/kamerpower.com\/fr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kamerpower.com\/fr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kamerpower.com\/fr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/kamerpower.com\/fr\/wp-json\/wp\/v2\/comments?post=6005"}],"version-history":[{"count":1,"href":"https:\/\/kamerpower.com\/fr\/wp-json\/wp\/v2\/posts\/6005\/revisions"}],"predecessor-version":[{"id":67840,"href":"https:\/\/kamerpower.com\/fr\/wp-json\/wp\/v2\/posts\/6005\/revisions\/67840"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/kamerpower.com\/fr\/wp-json\/wp\/v2\/media\/3283"}],"wp:attachment":[{"href":"https:\/\/kamerpower.com\/fr\/wp-json\/wp\/v2\/media?parent=6005"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kamerpower.com\/fr\/wp-json\/wp\/v2\/categories?post=6005"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kamerpower.com\/fr\/wp-json\/wp\/v2\/tags?post=6005"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}