Quiz interactif : Maths 4ème secondaire — Algèbre & Géométrie

Question 1 sur 10 10:00

[{"id":32098,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 5\/3","option_d":"x = 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"La solution est obtenue en isolant x : 3x = 15 → x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32099,"question":"Le théorème de Pythagore s'applique uniquement aux triangles rectangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Pythagore est valable uniquement pour les triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32100,"question":"Quelle est la dérivée de la fonction f(x) = 4x² + 3x - 2 ?","option_a":"f'(x) = 8x + 3","option_b":"f'(x) = 4x + 3","option_c":"f'(x) = 8x² + 3x","option_d":"f'(x) = 4x² + 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de 4x² est 8x, celle de 3x est 3, et celle de -2 est 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32101,"question":"La fonction f(x) = x² est-elle croissante sur ℝ ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction est décroissante sur ]-∞, 0] et croissante sur [0, +∞[.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32102,"question":"Quelle est la solution de l'inéquation 2x + 7 ≤ 15 ?","option_a":"x ≤ 4","option_b":"x ≤ 8","option_c":"x ≥ 4","option_d":"x ≥ 8","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x ≤ 8 → x ≤ 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32103,"question":"Le cercle de centre O et de rayon r a pour équation (x - a)² + (y - b)² = r².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"L'équation correcte est (x - a)² + (y - b)² = r², où (a, b) sont les coordonnées du centre.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32104,"question":"Quelle est la limite de la fonction f(x) = (2x² + 3x) \/ x quand x tend vers +∞ ?","option_a":"+∞","option_b":"2","option_c":"0","option_d":"3","option_e":"","option_f":"","bonne_reponse":"B","explication":"En simplifiant, f(x) = 2x + 3 → limite = +∞, mais la limite du rapport est 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32105,"question":"Un quadrilatère dont les diagonales se coupent en leur milieu est toujours un parallélogramme.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une propriété caractéristique des parallélogrammes.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32106,"question":"Quelle est la solution de l'équation |x - 3| = 5 ?","option_a":"x = 8 ou x = -2","option_b":"x = 2 ou x = -8","option_c":"x = 3 ± 5","option_d":"x = 5 ± 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'équation donne deux solutions : x - 3 = 5 → x = 8 et x - 3 = -5 → x = -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":32107,"question":"La fonction f(x) = 1\/x est-elle définie en x = 0 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction n'est pas définie en x = 0 car la division par zéro est impossible.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]