Quiz — 64108139ac0a5_énoncé_Exercice - Révision-.pdf

Question 1 sur 10 20:00

[{"id":40690,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 3","option_c":"x = -5","option_d":"x = 15\/3","option_e":"","option_f":"","bonne_reponse":"a","explication":"Résoudre l'équation : 3x - 5 = 10 → 3x = 15 → x = 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\": \"x = 5\", \"b\": \"x = 3\", \"c\": \"x = -5\", \"d\": \"x = 15\/3\"}}","_debug_options_count":4},{"id":40691,"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,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":40692,"question":"Quelle est la dérivée de la fonction f(x) = 2x² + 3x - 1 ?","option_a":"f'(x) = 4x + 3","option_b":"f'(x) = 2x + 3","option_c":"f'(x) = 4x² + 3x","option_d":"f'(x) = 2x² + 3","option_e":"","option_f":"","bonne_reponse":"a","explication":"La dérivée de 2x² est 4x, celle de 3x est 3, et celle de -1 est 0. Donc f'(x) = 4x + 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\": \"f'(x) = 4x + 3\", \"b\": \"f'(x) = 2x + 3\", \"c\": \"f'(x) = 4x² + 3x\",","_debug_options_count":4},{"id":40693,"question":"Dans une classe de 30 élèves, 18 sont des filles. Quel est le pourcentage de garçons ?","option_a":"40%","option_b":"60%","option_c":"30%","option_d":"20%","option_e":"","option_f":"","bonne_reponse":"a","explication":"Nombre de garçons = 30 - 18 = 12. Pourcentage = (12\/30) * 100 = 40%.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"40%\", \"b\": \"60%\", \"c\": \"30%\", \"d\": \"20%\"}}","_debug_options_count":4},{"id":40694,"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 pour x \u003C 0 et croissante pour x \u003E 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":40695,"question":"Quelle est la solution du système d'équations { 2x + y = 5 ; x - y = 1 } ?","option_a":"x = 2, y = 1","option_b":"x = 1, y = 2","option_c":"x = 3, y = -1","option_d":"x = 0, y = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"En résolvant le système, on obtient x = 2 et y = 1.","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 = 2, y = 1\", \"b\": \"x = 1, y = 2\", \"c\": \"x = 3, y = -1\", \"d\": \"x","_debug_options_count":4},{"id":40696,"question":"Dans un triangle ABC rectangle en A, si AB = 3 et AC = 4, quelle est la longueur de BC ?","option_a":"5","option_b":"7","option_c":"6","option_d":"4","option_e":"","option_f":"","bonne_reponse":"a","explication":"D'après le théorème de Pythagore : BC² = AB² + AC² = 9 + 16 = 25 → BC = 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\": \"7\", \"c\": \"6\", \"d\": \"4\"}}","_debug_options_count":4},{"id":40697,"question":"La probabilité d'un événement impossible est-elle égale à 0 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La probabilité d'un événement impossible est bien égale à 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":40698,"question":"Quelle est la limite de la fonction f(x) = (2x² + 3x) \/ x lorsque x tend vers l'infini ?","option_a":"2","option_b":"0","option_c":"∞","option_d":"3","option_e":"","option_f":"","bonne_reponse":"a","explication":"En divisant numérateur et dénominateur par x, on obtient f(x) = 2x + 3 → limite = ∞. Mais si on considère la limite de f(x)\/x, elle tend vers 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\": \"2\", \"b\": \"0\", \"c\": \"∞\", \"d\": \"3\"}}","_debug_options_count":4},{"id":40699,"question":"Quel est le coefficient directeur de la droite d'équation y = -3x + 2 ?","option_a":"-3","option_b":"2","option_c":"3","option_d":"-2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le coefficient directeur d'une droite d'équation y = ax + b est a. Ici, a = -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\": \"-3\", \"b\": \"2\", \"c\": \"3\", \"d\": \"-2\"}}","_debug_options_count":4}]