Quiz — rev 1.pdf

Question 1 sur 5 10:00

[{"id":2353,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 2","option_c":"x = 15\/3","option_d":"x = 3","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x - 5 = 10, on ajoute 5 des deux côtés : 3x = 15, puis on divise par 3 : 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 = 2\", \"c\": \"x = 15\/3\", \"d\": \"x = 3\"}}","_debug_options_count":4},{"id":2354,"question":"Quelle est la dérivée de la fonction f(x) = 4x² + 3x - 2 ?","option_a":"f'(x) = 8x + 3","option_b":"f'(x) = 4x + 3","option_c":"f'(x) = 8x² + 3","option_d":"f'(x) = 4x² + 3","option_e":"","option_f":"","bonne_reponse":"a","explication":"La dérivée de 4x² est 8x, celle de 3x est 3, et celle de -2 est 0. Donc f'(x) = 8x + 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) = 8x + 3\", \"b\": \"f'(x) = 4x + 3\", \"c\": \"f'(x) = 8x² + 3\", ","_debug_options_count":4},{"id":2355,"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":"4 cm","option_c":"√64 cm","option_d":"√136 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"D'après le théorème de Pythagore : 6² + x² = 10² → 36 + x² = 100 → 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\": \"4 cm\", \"c\": \"√64 cm\", \"d\": \"√136 cm\"}}","_debug_options_count":4},{"id":2356,"question":"Quelle est la probabilité de tirer un as dans un jeu de 32 cartes ?","option_a":"1\/8","option_b":"1\/4","option_c":"1\/32","option_d":"4\/32","option_e":"","option_f":"","bonne_reponse":"a","explication":"Il y a 4 as dans un jeu de 32 cartes. La probabilité est donc 4\/32 = 1\/8.","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\/8\", \"b\": \"1\/4\", \"c\": \"1\/32\", \"d\": \"4\/32\"}}","_debug_options_count":4},{"id":2357,"question":"Quelle est la forme canonique de la fonction f(x) = x² - 6x + 5 ?","option_a":"f(x) = (x - 3)² - 4","option_b":"f(x) = (x - 6)² + 5","option_c":"f(x) = (x - 3)² + 4","option_d":"f(x) = (x - 2)² - 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"On complète le carré : x² - 6x + 5 = (x² - 6x + 9) - 4 = (x - 3)² - 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) = (x - 3)² - 4\", \"b\": \"f(x) = (x - 6)² + 5\", \"c\": \"f(x) = ","_debug_options_count":4}]