Quiz — 61b0bbbecba3c810300948.pdf

Question 1 sur 10 20:00

[{"id":20039,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 12","option_c":"x = -4","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"La solution s'obtient en isolant x : 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 = 12\", \"c\": \"x = -4\", \"d\": \"x = 2\"}}","_debug_options_count":4},{"id":20040,"question":"La fonction f(x) = x² est-elle toujours positive ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour tout x réel, x² ≥ 0. La fonction est donc toujours positive ou nulle.","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":20041,"question":"Quel est le développement de (x + 3)² ?","option_a":"x² + 6x + 9","option_b":"x² + 3x + 9","option_c":"x² + 9","option_d":"x² + 6x + 3","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le développement utilise l'identité remarquable (a + b)² = a² + 2ab + b².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x² + 6x + 9\", \"b\": \"x² + 3x + 9\", \"c\": \"x² + 9\", \"d\": \"x² + 6","_debug_options_count":4},{"id":20042,"question":"L'aire d'un cercle de rayon r est donnée par la formule :","option_a":"πr²","option_b":"2πr","option_c":"πr","option_d":"4πr²","option_e":"","option_f":"","bonne_reponse":"a","explication":"La formule de l'aire d'un cercle est bien πr².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"πr²\", \"b\": \"2πr\", \"c\": \"πr\", \"d\": \"4πr²\"}}","_debug_options_count":4},{"id":20043,"question":"Le théorème de Pythagore s'applique-t-il à tous les triangles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles.","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":20044,"question":"Quelle est la dérivée de la fonction f(x) = 5x³ ?","option_a":"15x²","option_b":"5x²","option_c":"15x","option_d":"5x³","option_e":"","option_f":"","bonne_reponse":"a","explication":"La dérivée se calcule avec la règle : (x^n)' = 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\": \"15x²\", \"b\": \"5x²\", \"c\": \"15x\", \"d\": \"5x³\"}}","_debug_options_count":4},{"id":20045,"question":"Un angle de 90° est-il un angle droit ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Par définition, un angle droit mesure exactement 90°.","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":20046,"question":"Quelle est la solution de l'inéquation 2x + 1 \u003E 5 ?","option_a":"x \u003E 2","option_b":"x \u003E 3","option_c":"x \u003C 2","option_d":"x \u003C 3","option_e":"","option_f":"","bonne_reponse":"b","explication":"2x \u003E 4 → x \u003E 2, mais l'inéquation est strictement supérieure à 5, donc x \u003E 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\": \"x \u003E 2\", \"b\": \"x \u003E 3\", \"c\": \"x \u003C 2\", \"d\": \"x \u003C 3\"}}","_debug_options_count":4},{"id":20047,"question":"Le volume d'une sphère de rayon r est donné par :","option_a":"(4\/3)πr³","option_b":"πr²","option_c":"4πr²","option_d":"(2\/3)πr³","option_e":"","option_f":"","bonne_reponse":"a","explication":"La formule du volume d'une sphère est (4\/3)πr³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"(4\/3)πr³\", \"b\": \"πr²\", \"c\": \"4πr²\", \"d\": \"(2\/3)πr³\"}}","_debug_options_count":4},{"id":20048,"question":"La fonction f(x) = 1\/x est-elle définie en 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 (division par zéro).","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}]