Quiz — Serie2.doc

Question 1 sur 5 10:00

[{"id":2575,"question":"Quelle est la solution de l'équation x² - 5x + 6 = 0 ?","option_a":"x = 2 ou x = 3","option_b":"x = -2 ou x = -3","option_c":"x = 1 ou x = 6","option_d":"x = 0 ou x = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'équation x² - 5x + 6 = 0 se factorise en (x-2)(x-3) = 0. Les solutions sont donc x = 2 et 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 = 2 ou x = 3\", \"b\": \"x = -2 ou x = -3\", \"c\": \"x = 1 ou x = 6\", ","_debug_options_count":4},{"id":2576,"question":"Quelle est l'image de 3 par la fonction f(x) = 2x² - 4x + 1 ?","option_a":"f(3) = 7","option_b":"f(3) = 11","option_c":"f(3) = 13","option_d":"f(3) = 19","option_e":"","option_f":"","bonne_reponse":"b","explication":"En remplaçant x par 3 dans f(x) = 2x² - 4x + 1, on obtient f(3) = 2*(9) - 4*(3) + 1 = 18 - 12 + 1 = 7. La bonne réponse est donc 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"f(3) = 7\", \"b\": \"f(3) = 11\", \"c\": \"f(3) = 13\", \"d\": \"f(3) = 19\"}}","_debug_options_count":4},{"id":2577,"question":"Dans un triangle rectangle ABC avec AB = 6 cm, BC = 8 cm et AC = 10 cm, quelle est la valeur de sin(∠BAC) ?","option_a":"3\/5","option_b":"4\/5","option_c":"5\/6","option_d":"6\/10","option_e":"","option_f":"","bonne_reponse":"a","explication":"Dans le triangle ABC rectangle en B, sin(∠BAC) = côté opposé \/ hypoténuse = BC \/ AC = 8\/10 = 4\/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\": \"3\/5\", \"b\": \"4\/5\", \"c\": \"5\/6\", \"d\": \"6\/10\"}}","_debug_options_count":4},{"id":2578,"question":"Quelle est la dérivée de la fonction f(x) = 3x³ - 2x² + 5x - 7 ?","option_a":"f'(x) = 9x² - 4x + 5","option_b":"f'(x) = 6x² - 4x + 5","option_c":"f'(x) = 9x² - 4x - 7","option_d":"f'(x) = 3x² - 2x + 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"La dérivée de f(x) = 3x³ - 2x² + 5x - 7 est f'(x) = 9x² - 4x + 5, car la dérivée de x^n est n*x^(n-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\": \"f'(x) = 9x² - 4x + 5\", \"b\": \"f'(x) = 6x² - 4x + 5\", \"c\": \"f'(x)","_debug_options_count":4},{"id":2579,"question":"Quelle est la solution de l'inéquation 2x - 3 \u003E 7 ?","option_a":"x \u003E 5","option_b":"x \u003C 5","option_c":"x \u003E 10","option_d":"x \u003C 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"En résolvant 2x - 3 \u003E 7, on obtient 2x \u003E 10, soit x \u003E 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 \u003E 5\", \"b\": \"x \u003C 5\", \"c\": \"x \u003E 10\", \"d\": \"x \u003C 2\"}}","_debug_options_count":4}]