Quiz — 4M_EX1_16-05-2025_Interface.pdf

Question 1 sur 10 20:00

[{"id":47728,"question":"Quelle est la solution de l'équation 2x - 5 = 3x + 1 ?","option_a":"x = -6","option_b":"x = 6","option_c":"x = -4","option_d":"x = 4","option_e":"","option_f":"","bonne_reponse":"a","explication":"En résolvant l'équation : 2x - 5 = 3x + 1 → -5 - 1 = 3x - 2x → 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 = 6\", \"c\": \"x = -4\", \"d\": \"x = 4\"}}","_debug_options_count":4},{"id":47729,"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 énonce que dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","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":47730,"question":"Quelle est la dérivée de la fonction f(x) = 3x² + 2x - 1 ?","option_a":"f'(x) = 6x + 2","option_b":"f'(x) = 3x + 2","option_c":"f'(x) = 6x² + 2","option_d":"f'(x) = 3x² + 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"La dérivée de 3x² est 6x, celle de 2x est 2, et la dérivée de -1 est 0. Donc f'(x) = 6x + 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\": \"f'(x) = 6x + 2\", \"b\": \"f'(x) = 3x + 2\", \"c\": \"f'(x) = 6x² + 2\", ","_debug_options_count":4},{"id":47731,"question":"Dans une série statistique, la médiane est toujours égale à la moyenne.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La médiane et la moyenne sont deux indicateurs différents. La médiane est la valeur centrale, tandis que la moyenne est la somme des valeurs divisée par leur nombre.","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":47732,"question":"Quelle est l'aire d'un cercle de rayon r = 5 cm ? (π ≈ 3,14)","option_a":"78,5 cm²","option_b":"31,4 cm²","option_c":"15,7 cm²","option_d":"25 cm²","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'aire d'un cercle est donnée par la formule A = πr². Avec r = 5 cm, A ≈ 3,14 × 25 = 78,5 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"78,5 cm²\", \"b\": \"31,4 cm²\", \"c\": \"15,7 cm²\", \"d\": \"25 cm²\"}}","_debug_options_count":4},{"id":47733,"question":"Si deux droites sont parallèles, alors leurs coefficients directeurs sont égaux.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Deux droites parallèles ont le même coefficient directeur, car elles ne se croisent jamais et gardent la même inclinaison.","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":47734,"question":"Résoudre l'inéquation 3x + 7 \u003E 2x - 5.","option_a":"x \u003E -12","option_b":"x \u003C 12","option_c":"x \u003E 12","option_d":"x \u003C -12","option_e":"","option_f":"","bonne_reponse":"a","explication":"En résolvant : 3x + 7 \u003E 2x - 5 → 3x - 2x \u003E -5 - 7 → x \u003E -12.","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 -12\", \"b\": \"x \u003C 12\", \"c\": \"x \u003E 12\", \"d\": \"x \u003C -12\"}}","_debug_options_count":4},{"id":47735,"question":"La probabilité d'un événement impossible est égale à 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La probabilité d'un événement impossible est toujours égale à 0. Un événement certain a une probabilité de 1.","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":47736,"question":"Quelle est la valeur de x dans l'équation x² - 4x + 4 = 0 ?","option_a":"x = 2","option_b":"x = -2","option_c":"x = 4","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"a","explication":"Cette équation est un carré parfait : (x - 2)² = 0 → x = 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\": \"x = 2\", \"b\": \"x = -2\", \"c\": \"x = 4\", \"d\": \"x = 0\"}}","_debug_options_count":4},{"id":47737,"question":"Le volume d'une sphère de rayon r est donné par V = (4\/3)πr³.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La formule du volume d'une sphère est bien V = (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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4}]