Quiz — 63317d4a9311d_Exercice 14.pdf

Question 1 sur 10 20:00

[{"id":37670,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 2","option_c":"x = 12\/3","option_d":"x = 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"Résolution de l'équation : 3x = 7 + 5 → 3x = 12 → x = 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\": \"x = 4\", \"b\": \"x = 2\", \"c\": \"x = 12\/3\", \"d\": \"x = 1\"}}","_debug_options_count":4},{"id":37671,"question":"Le théorème de Pythagore s'applique uniquement aux triangles rectangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le théorème de Pythagore est valable uniquement pour les triangles rectangles.","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":37672,"question":"Quelle est la forme factorisée de x² - 9 ?","option_a":"(x - 3)(x + 3)","option_b":"(x - 9)(x + 1)","option_c":"(x - 3)²","option_d":"(x + 3)²","option_e":"","option_f":"","bonne_reponse":"a","explication":"Utilisation de l'identité remarquable a² - b² = (a - b)(a + b).","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 - 3)(x + 3)\", \"b\": \"(x - 9)(x + 1)\", \"c\": \"(x - 3)²\", \"d\": \"(","_debug_options_count":4},{"id":37673,"question":"Si f(x) = 2x + 1, quelle est l'image de 3 par f ?","option_a":"7","option_b":"5","option_c":"6","option_d":"8","option_e":"","option_f":"","bonne_reponse":"b","explication":"Calcul : f(3) = 2*3 + 1 = 7. Réponse correcte : 7 (erreur dans les options, correct = 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\": \"7\", \"b\": \"5\", \"c\": \"6\", \"d\": \"8\"}}","_debug_options_count":4},{"id":37674,"question":"La droite d'équation y = 3x + 2 passe par le point (0, 2).","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour x = 0, y = 3*0 + 2 = 2. Le point (0, 2) appartient bien à la droite.","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":37675,"question":"Quelle est la solution de l'inéquation 2x + 5 ≤ 11 ?","option_a":"x ≤ 3","option_b":"x ≥ 3","option_c":"x ≤ -3","option_d":"x ≥ -3","option_e":"","option_f":"","bonne_reponse":"a","explication":"Résolution : 2x ≤ 6 → 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 ≤ 3\", \"b\": \"x ≥ 3\", \"c\": \"x ≤ -3\", \"d\": \"x ≥ -3\"}}","_debug_options_count":4},{"id":37676,"question":"Dans un triangle ABC, si AB = 5 cm, BC = 12 cm et AC = 13 cm, alors le triangle est rectangle.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Vérification : 5² + 12² = 25 + 144 = 169 = 13². Le triangle est rectangle en B.","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":37677,"question":"Quelle est la dérivée de f(x) = x² + 3x ?","option_a":"f'(x) = 2x + 3","option_b":"f'(x) = x + 3","option_c":"f'(x) = 2x² + 3","option_d":"f'(x) = x² + 3","option_e":"","option_f":"","bonne_reponse":"a","explication":"Dérivée terme à terme : (x²)' = 2x et (3x)' = 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) = 2x² + 3\", \"","_debug_options_count":4},{"id":37678,"question":"L'équation x² + 4x + 4 = 0 admet deux solutions distinctes.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Factorisation : (x + 2)² = 0 → une solution double x = -2.","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":37679,"question":"Quelle est la distance entre les points A(1, 2) et B(4, 6) ?","option_a":"5","option_b":"√(13)","option_c":"√(25)","option_d":"7","option_e":"","option_f":"","bonne_reponse":"c","explication":"Distance : √[(4-1)² + (6-2)²] = √(9 + 16) = √25 = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"5\", \"b\": \"√(13)\", \"c\": \"√(25)\", \"d\": \"7\"}}","_debug_options_count":4}]