Quiz — 6542514641690_Enoncé-DEVOIR DE CONTROLE N°1 (3).pdf

Question 1 sur 10 20:00

[{"id":9633,"question":"Quelle est la solution de l'équation 2x - 5 = 3x + 1 ?","option_a":"x = -6","option_b":"x = -4","option_c":"x = 4","option_d":"x = 6","option_e":"","option_f":"","bonne_reponse":"a","explication":"En isolant x, on obtient 2x - 3x = 1 + 5 → -x = 6 → x = -6.","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 = -6\", \"b\": \"x = -4\", \"c\": \"x = 4\", \"d\": \"x = 6\"}}","_debug_options_count":4},{"id":9634,"question":"La fonction f(x) = x² - 4x + 3 admet un minimum en x = 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La dérivée f'(x) = 2x - 4 s'annule en x = 2, et comme le coefficient de x² est positif, c'est un minimum.","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":9635,"question":"Quel est le discriminant de l'équation x² - 5x + 6 = 0 ?","option_a":"Δ = 1","option_b":"Δ = 25","option_c":"Δ = 16","option_d":"Δ = -1","option_e":"","option_f":"","bonne_reponse":"c","explication":"Le discriminant est Δ = b² - 4ac = (-5)² - 4(1)(6) = 25 - 24 = 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"Δ = 1\", \"b\": \"Δ = 25\", \"c\": \"Δ = 16\", \"d\": \"Δ = -1\"}}","_debug_options_count":4},{"id":9636,"question":"Dans un triangle rectangle, si un angle mesure 30°, l'autre angle non droit mesure :","option_a":"45°","option_b":"60°","option_c":"75°","option_d":"90°","option_e":"","option_f":"","bonne_reponse":"b","explication":"La somme des angles d'un triangle est 180°. Si un angle est 90° et un autre 30°, le troisième mesure 60°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"45°\", \"b\": \"60°\", \"c\": \"75°\", \"d\": \"90°\"}}","_debug_options_count":4},{"id":9637,"question":"La fonction f(x) = 1\/x est définie pour x = 0.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La fonction f(x) = 1\/x n'est pas définie en x = 0 car la division par zéro est impossible.","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":9638,"question":"Quel est le résultat de l'inéquation 3x + 2 \u003E 11 ?","option_a":"x \u003E 3","option_b":"x \u003C 3","option_c":"x \u003E -3","option_d":"x \u003C -3","option_e":"","option_f":"","bonne_reponse":"a","explication":"En isolant x, on obtient 3x \u003E 9 → x \u003E 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 \u003E 3\", \"b\": \"x \u003C 3\", \"c\": \"x \u003E -3\", \"d\": \"x \u003C -3\"}}","_debug_options_count":4},{"id":9639,"question":"Dans un cercle de rayon 5 cm, la circonférence mesure :","option_a":"10π cm","option_b":"25π cm","option_c":"5π cm","option_d":"20π cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"La circonférence d'un cercle est donnée par C = 2πr = 2π × 5 = 10π 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\": \"10π cm\", \"b\": \"25π cm\", \"c\": \"5π cm\", \"d\": \"20π cm\"}}","_debug_options_count":4},{"id":9640,"question":"La dérivée de f(x) = 3x² + 2x - 1 est f'(x) = 6x + 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"En dérivant terme à terme, f'(x) = 6x + 2, ce qui est correct.","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":9641,"question":"Quel est le résultat de l'expression (2 + 3)² - 4 × 3 ?","option_a":"11","option_b":"17","option_c":"25","option_d":"13","option_e":"","option_f":"","bonne_reponse":"b","explication":"(2 + 3)² = 25 et 4 × 3 = 12 → 25 - 12 = 13. La réponse correcte est 13.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"11\", \"b\": \"17\", \"c\": \"25\", \"d\": \"13\"}}","_debug_options_count":4},{"id":9642,"question":"Dans un parallélogramme, les diagonales se coupent en leur milieu.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est une propriété fondamentale des parallélogrammes : les diagonales se bisectent mutuellement.","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}]