Quiz — Exercice type devoir 2.pdf

Question 1 sur 5 10:00

[{"id":2195,"question":"Quelle est la dérivée de la fonction f(x) = 3x² - 5x + 2 ?","option_a":"f'(x) = 6x - 5","option_b":"f'(x) = 3x - 5","option_c":"f'(x) = 6x² - 5","option_d":"f'(x) = 6x - 5x","option_e":"","option_f":"","bonne_reponse":"a","explication":"La dérivée d'une fonction polynôme se calcule terme à terme : la dérivée de 3x² est 6x, celle de -5x est -5, et celle de 2 est 0. Ainsi, f'(x) = 6x - 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\": \"f'(x) = 6x - 5\", \"b\": \"f'(x) = 3x - 5\", \"c\": \"f'(x) = 6x² - 5\", ","_debug_options_count":4},{"id":2196,"question":"Soit une suite géométrique de premier terme u₀ = 4 et de raison q = 2. Quel est le terme u₃ ?","option_a":"u₃ = 8","option_b":"u₃ = 16","option_c":"u₃ = 32","option_d":"u₃ = 64","option_e":"","option_f":"","bonne_reponse":"c","explication":"Dans une suite géométrique, chaque terme est obtenu en multipliant le précédent par la raison q. Ainsi, u₁ = 8, u₂ = 16, et u₃ = 32.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"u₃ = 8\", \"b\": \"u₃ = 16\", \"c\": \"u₃ = 32\", \"d\": \"u₃ = 64\"}}","_debug_options_count":4},{"id":2197,"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 aux deux membres : 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":2198,"question":"Soit f(x) = (2x + 1)\/(x - 3). Quelle est la valeur interdite de cette fonction ?","option_a":"x = 3","option_b":"x = -1","option_c":"x = 1\/2","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"a","explication":"La fonction f(x) est une fraction rationnelle. Elle est indéfinie lorsque le dénominateur est nul, soit x - 3 = 0 ⇒ x = 3.","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 = 3\", \"b\": \"x = -1\", \"c\": \"x = 1\/2\", \"d\": \"x = 0\"}}","_debug_options_count":4},{"id":2199,"question":"Quelle est la probabilité d'obtenir un nombre pair en lançant un dé équilibré à 6 faces ?","option_a":"1\/2","option_b":"1\/3","option_c":"1\/6","option_d":"2\/3","option_e":"","option_f":"","bonne_reponse":"a","explication":"Un dé équilibré a 6 faces numérotées de 1 à 6. Les nombres pairs sont 2, 4 et 6, soit 3 cas favorables sur 6 possibles. La probabilité est donc 3\/6 = 1\/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\": \"1\/2\", \"b\": \"1\/3\", \"c\": \"1\/6\", \"d\": \"2\/3\"}}","_debug_options_count":4}]