Quiz Mathématiques : Fonctions, Équations et Géométrie pour la 3ème année secondaire

Question 1 sur 10 10:00

[{"id":24878,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 2","option_c":"x = 12\/3","option_d":"x = 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 5 = 7 → 3x = 12 → x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24879,"question":"La fonction f(x) = x² est-elle paire ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction est paire si f(-x) = f(x). Ici, f(-x) = (-x)² = x² = f(x).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24880,"question":"Quel est le coefficient directeur de la droite d'équation y = 2x + 3 ?","option_a":"2","option_b":"-2","option_c":"3","option_d":"1\/2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le coefficient directeur est le nombre devant x dans l'équation réduite y = mx + p.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24881,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés. Vrai ou Faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est l'énoncé du théorème de Pythagore.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24882,"question":"Quelle est la dérivée de la fonction f(x) = 4x³ ?","option_a":"12x²","option_b":"4x²","option_c":"12x","option_d":"x³","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de x^n est n*x^(n-1). Ici, f'(x) = 3*4x² = 12x².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24883,"question":"La probabilité d'un événement impossible est égale à 1. Vrai ou Faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La probabilité d'un événement impossible est 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24884,"question":"Quelle est la solution de l'inéquation 2x + 1 ≤ 5 ?","option_a":"x ≤ 2","option_b":"x ≥ 2","option_c":"x ≤ 3","option_d":"x ≥ 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 1 ≤ 5 → 2x ≤ 4 → x ≤ 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24885,"question":"Le cosinus d'un angle aigu dans un triangle rectangle est égal au rapport de l'hypoténuse sur le côté adjacent. Vrai ou Faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le cosinus est le rapport du côté adjacent sur l'hypoténuse.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24886,"question":"Quelle est la forme canonique de la fonction f(x) = x² - 6x + 8 ?","option_a":"(x - 3)² - 1","option_b":"(x + 3)² - 1","option_c":"(x - 3)² + 1","option_d":"(x + 3)² + 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"f(x) = (x² - 6x + 9) - 1 = (x - 3)² - 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24887,"question":"Dans une expérience aléatoire, la somme des probabilités de tous les événements élémentaires est égale à 1. Vrai ou Faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une propriété fondamentale des probabilités.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]