Quiz — Copie de DS1-4M(c)-17-18 .pdf

Question 1 sur 5 10:00

[{"id":1957,"question":"Quelle est la solution de l'équation 3x - 7 = 2x + 5 ?","option_a":"x = 12","option_b":"x = 2","option_c":"x = -2","option_d":"x = 7","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre l'équation, on isole x en soustrayant 2x des deux côtés, puis on ajoute 7. Cela donne x = 12.","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 = 12\", \"b\": \"x = 2\", \"c\": \"x = -2\", \"d\": \"x = 7\"}}","_debug_options_count":4},{"id":1958,"question":"Quelle est la dérivée de la fonction f(x) = x² + 3x - 4 ?","option_a":"f'(x) = 2x + 3","option_b":"f'(x) = x + 3","option_c":"f'(x) = 2x - 4","option_d":"f'(x) = x² + 3","option_e":"","option_f":"","bonne_reponse":"a","explication":"La dérivée d'une fonction polynôme s'obtient en appliquant la règle de dérivation : f'(x) = 2x + 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) = 2x + 3\", \"b\": \"f'(x) = x + 3\", \"c\": \"f'(x) = 2x - 4\", \"d\"","_debug_options_count":4},{"id":1959,"question":"Dans un triangle rectangle, si l'hypoténuse mesure 10 cm et un côté mesure 6 cm, quelle est la longueur du troisième côté ?","option_a":"8 cm","option_b":"7 cm","option_c":"5 cm","option_d":"4 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"En appliquant le théorème de Pythagore : 10² = 6² + x² → x² = 64 → x = 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\": \"7 cm\", \"c\": \"5 cm\", \"d\": \"4 cm\"}}","_debug_options_count":4},{"id":1960,"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 = 3","option_c":"x = 3, y = -1","option_d":"x = 0, y = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"En additionnant les deux équations, on obtient 3x = 6 → x = 2. En substituant, 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 = 3\", \"c\": \"x = 3, y = -1\", \"d\": \"x","_debug_options_count":4},{"id":1961,"question":"Quelle est la limite de la fonction f(x) = (2x² + 3x) \/ x quand x tend vers 0 ?","option_a":"0","option_b":"2","option_c":"3","option_d":"∞","option_e":"","option_f":"","bonne_reponse":"b","explication":"En simplifiant, f(x) = 2x + 3. Quand x tend vers 0, f(x) tend vers 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"0\", \"b\": \"2\", \"c\": \"3\", \"d\": \"∞\"}}","_debug_options_count":4}]