Quiz — 6734cf7a48e45_Enoncé-révision dc1.pdf

Question 1 sur 5 10:00

[{"id":2880,"question":"Quelle est la dérivée de la fonction f(x) = 3x² + 2x - 5 ?","option_a":"f'(x) = 6x + 2","option_b":"f'(x) = 3x + 2","option_c":"f'(x) = 6x² + 2x","option_d":"f'(x) = 6x - 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"La dérivée d'une fonction polynôme se calcule terme par terme : la dérivée de 3x² est 6x, celle de 2x est 2, et celle de -5 est 0. Ainsi, f'(x) = 6x + 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"f'(x) = 6x + 2\", \"b\": \"f'(x) = 3x + 2\", \"c\": \"f'(x) = 6x² + 2x\",","_debug_options_count":4},{"id":2881,"question":"Dans un triangle rectangle, si l’hypoténuse mesure 10 cm et un côté adjacent mesure 6 cm, quelle est la longueur du troisième côté ?","option_a":"8 cm","option_b":"4 cm","option_c":"12 cm","option_d":"√(10² - 6²) cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"D'après le théorème de Pythagore : hypoténuse² = côté1² + côté2². Ici, 10² = 6² + côté2² → 100 = 36 + côté2² → côté2² = 64 → côté2 = 8 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"8 cm\", \"b\": \"4 cm\", \"c\": \"12 cm\", \"d\": \"√(10² - 6²) cm\"}}","_debug_options_count":4},{"id":2882,"question":"Quelle est la solution de l’inéquation 2x - 3 \u003E 5 ?","option_a":"x \u003E 4","option_b":"x \u003C 4","option_c":"x \u003E 1","option_d":"x \u003C 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 2x - 3 \u003E 5, on ajoute 3 des deux côtés : 2x \u003E 8, puis on divise par 2 : x \u003E 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x \u003E 4\", \"b\": \"x \u003C 4\", \"c\": \"x \u003E 1\", \"d\": \"x \u003C 1\"}}","_debug_options_count":4},{"id":2883,"question":"Quelle est la probabilité de tirer un as dans un jeu de 32 cartes ?","option_a":"1\/8","option_b":"1\/4","option_c":"1\/16","option_d":"1\/32","option_e":"","option_f":"","bonne_reponse":"a","explication":"Un jeu de 32 cartes contient 4 as. La probabilité est donc 4\/32 = 1\/8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"1\/8\", \"b\": \"1\/4\", \"c\": \"1\/16\", \"d\": \"1\/32\"}}","_debug_options_count":4},{"id":2884,"question":"Quelle est l’image de x = 2 par la fonction f(x) = x³ - 2x + 1 ?","option_a":"5","option_b":"3","option_c":"7","option_d":"1","option_e":"","option_f":"","bonne_reponse":"a","explication":"En remplaçant x par 2 dans f(x) : f(2) = 2³ - 2*2 + 1 = 8 - 4 + 1 = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"5\", \"b\": \"3\", \"c\": \"7\", \"d\": \"1\"}}","_debug_options_count":4}]