{"id":952,"date":"2026-09-08T08:06:58","date_gmt":"2026-09-08T08:06:58","guid":{"rendered":"https:\/\/maroczain.com\/scolaire.maroczain.com\/?page_id=952"},"modified":"2026-09-08T08:06:58","modified_gmt":"2026-09-08T08:06:58","slug":"mathematiques-au-college","status":"publish","type":"page","link":"https:\/\/maroczain.com\/scolaire.maroczain.com\/mathematiques-au-college\/","title":{"rendered":"Math\u00e9matiques au Coll\u00e8ge"},"content":{"rendered":"\n<!-- =========================================================\nMAROC ZAIN ACADEMY\nMATHEMATIQUES AU COLLEGE\nPAGE COMPLETE - 1AC \/ 2AC \/ 3AC\n========================================================= -->\n\n<div id=\"mza-maths-college\">\n\n<style>\n#mza-maths-college,\n#mza-maths-college *{\n  box-sizing:border-box;\n}\n\n#mza-maths-college{\n  width:100%;\n  max-width:1400px;\n  margin:0 auto;\n  padding:30px 20px 60px;\n  font-family:Arial,Helvetica,sans-serif;\n  color:#14213d;\n  line-height:1.65;\n}\n\n#mza-maths-college 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\u2190 Retour au Coll\u00e8ge\n  <\/a>\n\n  <div class=\"brand\">\n    MAROC ZAIN ACADEMY \u2022 MZA LEARNING\n  <\/div>\n\n  <h1>\u2797 Math\u00e9matiques \u2014 Coll\u00e8ge<\/h1>\n\n  <p>\n    Comprendre, pratiquer et ma\u00eetriser les math\u00e9matiques gr\u00e2ce aux cours,\n    exercices, probl\u00e8mes, QCM et entra\u00eenements progressifs de la 1AC \u00e0 la 3AC.\n  <\/p>\n\n<\/section>\n\n\n<!-- NIVEAUX -->\n<div class=\"nav-grid\">\n  <a class=\"nav-btn\" href=\"#niveau1\">\n    \ud83d\udcd8 1\u00e8re ann\u00e9e Coll\u00e8ge \u2014 1AC\n  <\/a>\n\n  <a class=\"nav-btn\" href=\"#niveau2\">\n    \ud83d\udcd7 2\u00e8me ann\u00e9e Coll\u00e8ge \u2014 2AC\n  <\/a>\n\n  <a class=\"nav-btn\" href=\"#niveau3\">\n    \ud83d\udcd5 3\u00e8me ann\u00e9e Coll\u00e8ge \u2014 3AC\n  <\/a>\n<\/div>\n\n\n<!-- COURS -->\n<section class=\"section\" id=\"cours\">\n\n  <h2>\ud83d\udcda Cours<\/h2>\n\n  <p>\n    Des cours structur\u00e9s pour comprendre progressivement toutes les notions essentielles.\n  <\/p>\n\n  <div class=\"subnav\">\n    <a href=\"#cours1\">Cours 1AC<\/a>\n    <a href=\"#cours2\">Cours 2AC<\/a>\n    <a href=\"#cours3\">Cours 3AC<\/a>\n    <a href=\"#fiches\">Fiches de cours<\/a>\n  <\/div>\n\n<\/section>\n\n\n<section class=\"section\" id=\"cours1\">\n  <h2>\ud83d\udcd8 Cours Math\u00e9matiques 1AC<\/h2>\n\n  <div class=\"cards\">\n\n    <div class=\"card\">\n      <h3>Nombres<\/h3>\n      <p>Nombres entiers, d\u00e9cimaux et relatifs.<\/p>\n    <\/div>\n\n    <div class=\"card\">\n      <h3>Fractions<\/h3>\n      <p>Lecture, comparaison et op\u00e9rations simples.<\/p>\n    <\/div>\n\n    <div class=\"card\">\n      <h3>G\u00e9om\u00e9trie<\/h3>\n      <p>Angles, figures, sym\u00e9trie et mesures.<\/p>\n    <\/div>\n\n  <\/div>\n<\/section>\n\n\n<section class=\"section\" id=\"cours2\">\n  <h2>\ud83d\udcd7 Cours Math\u00e9matiques 2AC<\/h2>\n\n  <div class=\"cards\">\n\n    <div class=\"card\">\n      <h3>Nombres rationnels<\/h3>\n      <p>Calculs, propri\u00e9t\u00e9s et op\u00e9rations.<\/p>\n    <\/div>\n\n    <div class=\"card\">\n      <h3>Calcul litt\u00e9ral<\/h3>\n      <p>Expressions, d\u00e9veloppement et \u00e9quations.<\/p>\n    <\/div>\n\n    <div class=\"card\">\n      <h3>G\u00e9om\u00e9trie<\/h3>\n      <p>Triangles, propri\u00e9t\u00e9s et raisonnement.<\/p>\n    <\/div>\n\n  <\/div>\n<\/section>\n\n\n<section class=\"section\" id=\"cours3\">\n  <h2>\ud83d\udcd5 Cours Math\u00e9matiques 3AC<\/h2>\n\n  <div class=\"cards\">\n\n    <div class=\"card\">\n      <h3>Alg\u00e8bre<\/h3>\n      <p>Identit\u00e9s remarquables, \u00e9quations et in\u00e9quations.<\/p>\n    <\/div>\n\n    <div class=\"card\">\n      <h3>Fonctions<\/h3>\n      <p>Images, ant\u00e9c\u00e9dents et repr\u00e9sentations.<\/p>\n    <\/div>\n\n    <div class=\"card\">\n      <h3>G\u00e9om\u00e9trie<\/h3>\n      <p>Thal\u00e8s, Pythagore et trigonom\u00e9trie.<\/p>\n    <\/div>\n\n  <\/div>\n<\/section>\n\n\n<section class=\"section\" id=\"fiches\">\n  <h2>\ud83d\uddc2\ufe0f Fiches de cours<\/h2>\n  <p>\n    R\u00e9sum\u00e9s de notions, formules, m\u00e9thodes et points essentiels pour les r\u00e9visions.\n  <\/p>\n<\/section>\n\n\n<!-- EXERCICES -->\n<section class=\"section\" id=\"exercices\">\n\n  <h2>\u270f\ufe0f Exercices<\/h2>\n\n  <p>\n    Exercices progressifs pour appliquer imm\u00e9diatement les notions \u00e9tudi\u00e9es.\n  <\/p>\n\n  <div class=\"subnav\">\n    <a href=\"#ex1\">Exercices 1AC<\/a>\n    <a href=\"#ex2\">Exercices 2AC<\/a>\n    <a href=\"#ex3\">Exercices 3AC<\/a>\n    <a href=\"#exmix\">Exercices mixtes<\/a>\n  <\/div>\n\n<\/section>\n\n\n<section class=\"section\" id=\"ex1\">\n  <h2>\ud83d\udcd8 Exercices 1AC<\/h2>\n  <p>Calcul num\u00e9rique, fractions, proportionnalit\u00e9 et g\u00e9om\u00e9trie.<\/p>\n<\/section>\n\n<section class=\"section\" id=\"ex2\">\n  <h2>\ud83d\udcd7 Exercices 2AC<\/h2>\n  <p>Nombres rationnels, puissances, calcul litt\u00e9ral et g\u00e9om\u00e9trie.<\/p>\n<\/section>\n\n<section class=\"section\" id=\"ex3\">\n  <h2>\ud83d\udcd5 Exercices 3AC<\/h2>\n  <p>Alg\u00e8bre, fonctions, Thal\u00e8s, Pythagore et trigonom\u00e9trie.<\/p>\n<\/section>\n\n<section class=\"section\" id=\"exmix\">\n  <h2>\ud83d\udd00 Exercices mixtes<\/h2>\n  <p>Entra\u00eenements combinant plusieurs notions du programme.<\/p>\n<\/section>\n\n\n<!-- PROBLEMES -->\n<section class=\"section\" id=\"problemes\">\n\n  <h2>\ud83e\udde9 Probl\u00e8mes<\/h2>\n\n  <p>\n    D\u00e9velopper le raisonnement, la logique et la r\u00e9solution de situations concr\u00e8tes.\n  <\/p>\n\n  <div class=\"subnav\">\n    <a href=\"#prob1\">Probl\u00e8mes 1AC<\/a>\n    <a href=\"#prob2\">Probl\u00e8mes 2AC<\/a>\n    <a href=\"#prob3\">Probl\u00e8mes 3AC<\/a>\n    <a href=\"#defis\">D\u00e9fis maths<\/a>\n  <\/div>\n\n<\/section>\n\n\n<section class=\"section\" id=\"prob1\">\n  <h2>\ud83d\udcd8 Probl\u00e8mes 1AC<\/h2>\n  <p>Situations concr\u00e8tes autour des nombres, fractions, mesures et g\u00e9om\u00e9trie.<\/p>\n<\/section>\n\n<section class=\"section\" id=\"prob2\">\n  <h2>\ud83d\udcd7 Probl\u00e8mes 2AC<\/h2>\n  <p>Probl\u00e8mes combinant calcul, \u00e9quations, proportionnalit\u00e9 et g\u00e9om\u00e9trie.<\/p>\n<\/section>\n\n<section class=\"section\" id=\"prob3\">\n  <h2>\ud83d\udcd5 Probl\u00e8mes 3AC<\/h2>\n  <p>Probl\u00e8mes d&#8217;alg\u00e8bre, fonctions et g\u00e9om\u00e9trie avanc\u00e9e.<\/p>\n<\/section>\n\n<section class=\"section\" id=\"defis\">\n  <h2>\ud83c\udfc6 D\u00e9fis maths<\/h2>\n  <p>D\u00e9fis de logique et probl\u00e8mes destin\u00e9s aux \u00e9l\u00e8ves qui souhaitent aller plus loin.<\/p>\n<\/section>\n\n\n<!-- QCM NAV -->\n<section class=\"section\" id=\"qcm\">\n\n  <h2>\u2705 QCM &#038; \u00c9valuations<\/h2>\n\n  <p>\n    Choisissez votre niveau puis lancez un QCM. Les r\u00e9ponses correctes ne sont\n    pas affich\u00e9es pendant l&#8217;\u00e9preuve.\n  <\/p>\n\n  <div class=\"subnav\">\n    <a href=\"#qcm1\">QCM 1AC<\/a>\n    <a href=\"#qcm2\">QCM 2AC<\/a>\n    <a href=\"#qcm3\">QCM 3AC<\/a>\n    <a href=\"#exam\">Examen blanc<\/a>\n  <\/div>\n\n<\/section>\n\n\n<!-- QCM 1AC -->\n<section class=\"section\" id=\"qcm1\">\n\n  <h2>\ud83d\udcd8 QCM Math\u00e9matiques \u2014 1AC<\/h2>\n\n  <div class=\"cards\">\n\n    <div class=\"card\">\n      <h3>Nombres<\/h3>\n      <p>Entiers, d\u00e9cimaux, nombres relatifs et calcul num\u00e9rique.<\/p>\n\n      <button type=\"button\"\n              class=\"launch\"\n              data-quiz=\"1ac-nombres\">\n        Lancer le QCM \u2192\n      <\/button>\n    <\/div>\n\n    <div class=\"card\">\n      <h3>Fractions<\/h3>\n      <p>Fractions, comparaison et op\u00e9rations.<\/p>\n\n      <button type=\"button\"\n              class=\"launch\"\n              data-quiz=\"1ac-fractions\">\n        Lancer le QCM \u2192\n      <\/button>\n    <\/div>\n\n    <div class=\"card\">\n      <h3>G\u00e9om\u00e9trie<\/h3>\n      <p>Angles, figures, sym\u00e9trie et mesures.<\/p>\n\n      <button type=\"button\"\n              class=\"launch\"\n              data-quiz=\"1ac-geometrie\">\n        Lancer le QCM \u2192\n      <\/button>\n    <\/div>\n\n  <\/div>\n<\/section>\n\n\n<!-- QCM 2AC -->\n<section class=\"section\" id=\"qcm2\">\n\n  <h2>\ud83d\udcd7 QCM Math\u00e9matiques \u2014 2AC<\/h2>\n\n  <div class=\"cards\">\n\n    <div class=\"card\">\n      <h3>Nombres rationnels<\/h3>\n      <p>Op\u00e9rations et propri\u00e9t\u00e9s des nombres rationnels.<\/p>\n\n      <button type=\"button\"\n              class=\"launch\"\n              data-quiz=\"2ac-rationnels\">\n        Lancer le QCM \u2192\n      <\/button>\n    <\/div>\n\n    <div class=\"card\">\n      <h3>Calcul litt\u00e9ral<\/h3>\n      <p>Expressions alg\u00e9briques, d\u00e9veloppement et \u00e9quations.<\/p>\n\n      <button type=\"button\"\n              class=\"launch\"\n              data-quiz=\"2ac-calcul\">\n        Lancer le QCM \u2192\n      <\/button>\n    <\/div>\n\n    <div class=\"card\">\n      <h3>G\u00e9om\u00e9trie<\/h3>\n      <p>Triangles, propri\u00e9t\u00e9s g\u00e9om\u00e9triques et raisonnement.<\/p>\n\n      <button type=\"button\"\n              class=\"launch\"\n              data-quiz=\"2ac-geometrie\">\n        Lancer le QCM \u2192\n      <\/button>\n    <\/div>\n\n  <\/div>\n<\/section>\n\n\n<!-- QCM 3AC -->\n<section class=\"section\" id=\"qcm3\">\n\n  <h2>\ud83d\udcd5 QCM Math\u00e9matiques \u2014 3AC<\/h2>\n\n  <div class=\"cards\">\n\n    <div class=\"card\">\n      <h3>Alg\u00e8bre<\/h3>\n      <p>Calcul alg\u00e9brique, identit\u00e9s remarquables et \u00e9quations.<\/p>\n\n      <button type=\"button\"\n              class=\"launch\"\n              data-quiz=\"3ac-algebre\">\n        Lancer le QCM \u2192\n      <\/button>\n    <\/div>\n\n    <div class=\"card\">\n      <h3>Fonctions<\/h3>\n      <p>Lecture, repr\u00e9sentation et exploitation des fonctions.<\/p>\n\n      <button type=\"button\"\n              class=\"launch\"\n              data-quiz=\"3ac-fonctions\">\n        Lancer le QCM \u2192\n      <\/button>\n    <\/div>\n\n    <div class=\"card\">\n      <h3>G\u00e9om\u00e9trie<\/h3>\n      <p>Thal\u00e8s, Pythagore et trigonom\u00e9trie.<\/p>\n\n      <button type=\"button\"\n              class=\"launch\"\n              data-quiz=\"3ac-geometrie\">\n        Lancer le QCM \u2192\n      <\/button>\n    <\/div>\n\n  <\/div>\n<\/section>\n\n\n<!-- EXAM BLANC -->\n<section class=\"section\" id=\"exam\">\n\n  <h2>\ud83c\udf93 Examen blanc de Math\u00e9matiques<\/h2>\n\n  <p>\n    QCM g\u00e9n\u00e9ral couvrant plusieurs notions essentielles du coll\u00e8ge.\n  <\/p>\n\n  <button type=\"button\"\n          class=\"launch\"\n          data-quiz=\"exam-general\">\n    Commencer l&#8217;examen blanc \u2192\n  <\/button>\n\n<\/section>\n\n\n<!-- MOTEUR QCM -->\n<section id=\"mza-quiz-zone\">\n\n  <div id=\"mza-quiz-content\">\n\n    <div id=\"mza-quiz-title\"><\/div>\n\n    <div id=\"mza-counter\"><\/div>\n\n    <div id=\"mza-progress\">\n      <div id=\"mza-progress-bar\"><\/div>\n    <\/div>\n\n    <div id=\"mza-question\"><\/div>\n\n    <div id=\"mza-answers\"><\/div>\n\n    <div id=\"mza-actions\">\n\n      <button type=\"button\" id=\"mza-close\">\n        Fermer\n      <\/button>\n\n      <button type=\"button\" id=\"mza-next\">\n        Question suivante \u2192\n      <\/button>\n\n    <\/div>\n\n  <\/div>\n\n\n  <div id=\"mza-result\">\n\n    <h2>\ud83c\udf93 R\u00e9sultat<\/h2>\n\n    <div id=\"mza-score\"><\/div>\n\n    <p id=\"mza-result-message\"><\/p>\n\n    <div id=\"mza-actions\">\n\n      <button type=\"button\" id=\"mza-restart\">\n        Recommencer\n      <\/button>\n\n      <button type=\"button\" id=\"mza-result-close\">\n        Retour aux QCM\n      <\/button>\n\n    <\/div>\n\n  <\/div>\n\n<\/section>\n\n\n<!-- PROGRAMMES -->\n<section class=\"section\">\n\n  <h2>\ud83d\udcda Programmes du Coll\u00e8ge<\/h2>\n\n  <div class=\"programme\">\n\n\n    <div class=\"programme-box\" id=\"niveau1\">\n\n      <h3>\ud83d\udcd8 Programme 1AC<\/h3>\n\n      <ul>\n        <li>Nombres entiers et d\u00e9cimaux<\/li>\n        <li>Nombres relatifs<\/li>\n        <li>Fractions<\/li>\n        <li>Proportionnalit\u00e9<\/li>\n        <li>Calcul num\u00e9rique<\/li>\n        <li>G\u00e9om\u00e9trie<\/li>\n        <li>Angles<\/li>\n        <li>Sym\u00e9trie<\/li>\n        <li>Mesures<\/li>\n      <\/ul>\n\n      <a class=\"mini-btn\" href=\"#qcm1\">\n        Faire les QCM 1AC \u2192\n      <\/a>\n\n    <\/div>\n\n\n    <div class=\"programme-box\" id=\"niveau2\">\n\n      <h3>\ud83d\udcd7 Programme 2AC<\/h3>\n\n      <ul>\n        <li>Nombres rationnels<\/li>\n        <li>Puissances<\/li>\n        <li>Calcul litt\u00e9ral<\/li>\n        <li>\u00c9quations<\/li>\n        <li>Proportionnalit\u00e9<\/li>\n        <li>Triangles<\/li>\n        <li>G\u00e9om\u00e9trie<\/li>\n        <li>Statistiques<\/li>\n        <li>R\u00e9solution de probl\u00e8mes<\/li>\n      <\/ul>\n\n      <a class=\"mini-btn\" href=\"#qcm2\">\n        Faire les QCM 2AC \u2192\n      <\/a>\n\n    <\/div>\n\n\n    <div class=\"programme-box\" id=\"niveau3\">\n\n      <h3>\ud83d\udcd5 Programme 3AC<\/h3>\n\n      <ul>\n        <li>Calcul alg\u00e9brique<\/li>\n        <li>Identit\u00e9s remarquables<\/li>\n        <li>\u00c9quations<\/li>\n        <li>In\u00e9quations<\/li>\n        <li>Fonctions<\/li>\n        <li>Th\u00e9or\u00e8me de Thal\u00e8s<\/li>\n        <li>Th\u00e9or\u00e8me de Pythagore<\/li>\n        <li>Trigonom\u00e9trie<\/li>\n        <li>Statistiques<\/li>\n      <\/ul>\n\n      <a class=\"mini-btn\" href=\"#qcm3\">\n        Faire les QCM 3AC \u2192\n      <\/a>\n\n    <\/div>\n\n  <\/div>\n\n<\/section>\n\n\n<div id=\"mza-footer\">\n  \u00a9 2026 Maroc Zain Academy \u2022 MZA Learning\n<\/div>\n\n\n<script>\n(function(){\n\nconst BANK = {\n\n\"1ac-nombres\":{\n  title:\"QCM 1AC \u2014 Nombres\",\n  questions:[\n    {\n      q:\"Quel est le r\u00e9sultat de 27 + 35 ?\",\n      a:[\"52\",\"62\",\"72\",\"82\"],\n      c:1\n    },\n    {\n      q:\"Calculer : 15 \u2212 23\",\n      a:[\"8\",\"-8\",\"38\",\"-38\"],\n      c:1\n    },\n    {\n      q:\"Quel est le double de 4,5 ?\",\n      a:[\"8\",\"8,5\",\"9\",\"10\"],\n      c:2\n    },\n    {\n      q:\"Calculer : (-4) + 9\",\n      a:[\"-13\",\"-5\",\"5\",\"13\"],\n      c:2\n    },\n    {\n      q:\"Quel est le nombre le plus grand ?\",\n      a:[\"3,07\",\"3,7\",\"3,17\",\"3,5\"],\n      c:1\n    }\n  ]\n},\n\n\n\"1ac-fractions\":{\n  title:\"QCM 1AC \u2014 Fractions\",\n  questions:[\n    {\n      q:\"Quelle fraction repr\u00e9sente la moiti\u00e9 ?\",\n      a:[\"1\/3\",\"1\/2\",\"2\/3\",\"3\/2\"],\n      c:1\n    },\n    {\n      q:\"Calculer : 1\/4 + 2\/4\",\n      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2x\",\n      a:[\"5\",\"5x\",\"6x\",\"x\"],\n      c:1\n    },\n    {\n      q:\"D\u00e9velopper : 2(x + 3)\",\n      a:[\"2x+3\",\"2x+5\",\"2x+6\",\"x+6\"],\n      c:2\n    },\n    {\n      q:\"Si x = 4, combien vaut 2x + 1 ?\",\n      a:[\"7\",\"8\",\"9\",\"10\"],\n      c:2\n    },\n    {\n      q:\"R\u00e9soudre : x + 3 = 8\",\n      a:[\"3\",\"4\",\"5\",\"11\"],\n      c:2\n    },\n    {\n      q:\"R\u00e9duire : 7a \u2212 3a\",\n      a:[\"4\",\"4a\",\"10a\",\"3a\"],\n      c:1\n    }\n  ]\n},\n\n\n\"2ac-geometrie\":{\n  title:\"QCM 2AC \u2014 G\u00e9om\u00e9trie\",\n  questions:[\n    {\n      q:\"La somme des angles d'un triangle est :\",\n      a:[\"90\u00b0\",\"180\u00b0\",\"270\u00b0\",\"360\u00b0\"],\n      c:1\n    },\n    {\n      q:\"Un triangle ayant deux c\u00f4t\u00e9s \u00e9gaux est :\",\n      a:[\"rectangle\",\"isoc\u00e8le\",\"\u00e9quilat\u00e9ral\",\"quelconque\"],\n      c:1\n    },\n    {\n      q:\"Un triangle \u00e9quilat\u00e9ral poss\u00e8de :\",\n      a:[\"2 c\u00f4t\u00e9s \u00e9gaux\",\"3 c\u00f4t\u00e9s \u00e9gaux\",\"1 angle droit\",\"aucun c\u00f4t\u00e9 \u00e9gal\"],\n      c:1\n    },\n    {\n      q:\"Deux droites perpendiculaires forment :\",\n      a:[\"30\u00b0\",\"45\u00b0\",\"90\u00b0\",\"180\u00b0\"],\n      c:2\n    },\n    {\n      q:\"Un quadrilat\u00e8re poss\u00e8de :\",\n      a:[\"3 c\u00f4t\u00e9s\",\"4 c\u00f4t\u00e9s\",\"5 c\u00f4t\u00e9s\",\"6 c\u00f4t\u00e9s\"],\n      c:1\n    }\n  ]\n},\n\n\n\"3ac-algebre\":{\n  title:\"QCM 3AC \u2014 Alg\u00e8bre\",\n  questions:[\n    {\n      q:\"D\u00e9velopper : (x + 2)\u00b2\",\n      a:[\"x\u00b2+4\",\"x\u00b2+2x+4\",\"x\u00b2+4x+4\",\"x\u00b2+2\"],\n      c:2\n    },\n    {\n      q:\"R\u00e9soudre : 2x = 10\",\n      a:[\"2\",\"5\",\"8\",\"12\"],\n      c:1\n    },\n    {\n      q:\"Factoriser : x\u00b2 \u2212 9\",\n      a:[\"(x\u22123)(x+3)\",\"(x\u22129)(x+1)\",\"(x\u22123)\u00b2\",\"x(x\u22129)\"],\n      c:0\n    },\n    {\n      q:\"R\u00e9duire : 5x \u2212 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