Quiz interactif : Algèbre et Géométrie pour la 3ème année secondaire

Question 1 sur 10 10:00

[{"id":31088,"question":"Quelle est la solution de l'équation 2x² - 8x + 6 = 0 ?","option_a":"x = 1 ou x = 3","option_b":"x = 2 ou x = 4","option_c":"x = -1 ou x = -3","option_d":"x = 0 ou x = 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"La solution s'obtient en factorisant l'équation : 2(x² - 4x + 3) = 0 → (x-1)(x-3) = 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":31089,"question":"Le théorème de Pythagore s'applique-t-il à tous les triangles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":31090,"question":"Quelle est l'image de -2 par la fonction f(x) = 3x + 5 ?","option_a":"-1","option_b":"1","option_c":"-6","option_d":"11","option_e":"","option_f":"","bonne_reponse":"A","explication":"En remplaçant x par -2 : f(-2) = 3*(-2) + 5 = -6 + 5 = -1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":31091,"question":"Dans une classe de 30 élèves, 12 sont des filles. Quelle est la probabilité de choisir une fille au hasard ?","option_a":"0,4","option_b":"0,3","option_c":"0,5","option_d":"0,6","option_e":"","option_f":"","bonne_reponse":"B","explication":"La probabilité est le rapport du nombre de cas favorables (12) sur le nombre total (30) : 12\/30 = 0,4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":31092,"question":"La fonction f(x) = x² est-elle toujours croissante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction f(x) = x² est décroissante sur ]-∞; 0] et croissante sur [0; +∞[.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":31093,"question":"Quelle est la solution de l'inéquation 3x - 7 \u003E 2 ?","option_a":"x \u003E 3","option_b":"x \u003E 1","option_c":"x \u003C 3","option_d":"x \u003C 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 7 \u003E 2 → 3x \u003E 9 → x \u003E 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":31094,"question":"Un dé équilibré est lancé. Quelle est la probabilité d'obtenir un nombre pair ?","option_a":"1\/6","option_b":"1\/2","option_c":"1\/3","option_d":"2\/3","option_e":"","option_f":"","bonne_reponse":"B","explication":"Les nombres pairs sont 2, 4 et 6 → 3 cas favorables sur 6 possibles : 3\/6 = 1\/2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":31095,"question":"La droite d'équation y = 2x + 1 passe-t-elle par le point (0, 1) ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En remplaçant x par 0 : y = 2*0 + 1 = 1 → le point (0, 1) appartient à la droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":31096,"question":"Quelle est la forme factorisée de x² - 9 ?","option_a":"(x-3)(x+3)","option_b":"(x-9)(x+1)","option_c":"(x-3)²","option_d":"(x+3)²","option_e":"","option_f":"","bonne_reponse":"A","explication":"x² - 9 est une différence de carrés : (x-3)(x+3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":31097,"question":"Dans un triangle ABC, si AB = 5 cm, BC = 12 cm et AC = 13 cm, est-il rectangle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"5² + 12² = 25 + 144 = 169 = 13² → le triangle est rectangle en B.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]