Quiz — img136.pdf

Question 1 sur 5 10:00

[{"id":66,"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":67,"question":"Quelle est l'image de la fonction f(x) = 2x + 3 pour x = 4 ?","option_a":"f(4) = 11","option_b":"f(4) = 8","option_c":"f(4) = 5","option_d":"f(4) = 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"En remplaçant x par 4 dans la fonction f(x) = 2x + 3, on obtient f(4) = 2*4 + 3 = 11.","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(4) = 11\", \"b\": \"f(4) = 8\", \"c\": \"f(4) = 5\", \"d\": \"f(4) = 1\"}}","_debug_options_count":4},{"id":68,"question":"Dans un triangle ABC rectangle en A, quelle est la relation entre les côtés AB, AC et BC ?","option_a":"BC² = AB² + AC²","option_b":"AB² = BC² + AC²","option_c":"AC² = AB² + BC²","option_d":"BC = AB + AC","option_e":"","option_f":"","bonne_reponse":"a","explication":"D'après le théorème de Pythagore, dans un triangle rectangle, le carré de l'hypoténuse (BC) est égal à la somme des carrés des deux autres côtés (AB² + AC²).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"BC² = AB² + AC²\", \"b\": \"AB² = BC² + AC²\", \"c\": \"AC² = AB²","_debug_options_count":4},{"id":69,"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 faces. 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},{"id":70,"question":"Quelle est la dérivée de la fonction f(x) = 3x² - 4x + 5 ?","option_a":"f'(x) = 6x - 4","option_b":"f'(x) = 3x - 4","option_c":"f'(x) = 6x² - 4x","option_d":"f'(x) = 3x² - 4","option_e":"","option_f":"","bonne_reponse":"a","explication":"La dérivée d'une fonction polynôme se calcule en appliquant la règle : (ax^n)' = n*ax^(n-1). Ici, f'(x) = 6x - 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\": \"f'(x) = 6x - 4\", \"b\": \"f'(x) = 3x - 4\", \"c\": \"f'(x) = 6x² - 4x\",","_debug_options_count":4}]