Quiz — 6442fe3f73c86_DC3 (Modèle 2)-1.pdf

Question 1 sur 10 20:00

[{"id":25824,"question":"Quelle est la solution de l'équation 3x - 7 = 2x + 5 ?","option_a":"x = 12","option_b":"x = 2","option_c":"x = -12","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre l'équation, soustrayez 2x des deux côtés : x - 7 = 5. Puis ajoutez 7 : x = 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 = 12\", \"b\": \"x = 2\", \"c\": \"x = -12\", \"d\": \"x = 5\"}}","_debug_options_count":4},{"id":25825,"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":25826,"question":"Quelle est la dérivée de la fonction f(x) = 5x² + 3x - 2 ?","option_a":"f'(x) = 10x + 3","option_b":"f'(x) = 5x + 3","option_c":"f'(x) = 10x - 2","option_d":"f'(x) = 5x² + 3","option_e":"","option_f":"","bonne_reponse":"a","explication":"La dérivée de 5x² est 10x, celle de 3x est 3, et celle de -2 est 0. Donc f'(x) = 10x + 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) = 10x + 3\", \"b\": \"f'(x) = 5x + 3\", \"c\": \"f'(x) = 10x - 2\", ","_debug_options_count":4},{"id":25827,"question":"Si un angle d'un triangle mesure 60° et un autre 50°, quelle est la mesure du troisième angle ?","option_a":"70°","option_b":"60°","option_c":"50°","option_d":"80°","option_e":"","option_f":"","bonne_reponse":"a","explication":"La somme des angles d'un triangle est 180°. Donc 180° - 60° - 50° = 70°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"70°\", \"b\": \"60°\", \"c\": \"50°\", \"d\": \"80°\"}}","_debug_options_count":4},{"id":25828,"question":"La fonction f(x) = x² est-elle toujours croissante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La fonction f(x) = x² est décroissante pour x \u003C 0 et croissante pour x \u003E 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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":25829,"question":"Quelle est la solution de l'inéquation 2x + 3 \u003E 7 ?","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E -2","option_d":"x \u003C -2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Soustraire 3 des deux côtés : 2x \u003E 4. Puis diviser par 2 : x \u003E 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 \u003E 2\", \"b\": \"x \u003C 2\", \"c\": \"x \u003E -2\", \"d\": \"x \u003C -2\"}}","_debug_options_count":4},{"id":25830,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés. Vrai ou faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est l'énoncé du théorème de Pythagore, une propriété fondamentale des 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":25831,"question":"Quelle est la limite de la fonction f(x) = (3x² + 2x - 1)\/(x² - 4) lorsque x tend vers l'infini ?","option_a":"3","option_b":"0","option_c":"1","option_d":"2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour x tendant vers l'infini, on garde les termes de plus haut degré : 3x²\/x² = 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\": \"3\", \"b\": \"0\", \"c\": \"1\", \"d\": \"2\"}}","_debug_options_count":4},{"id":25832,"question":"Un événement certain a une probabilité de :","option_a":"0","option_b":"0,5","option_c":"1","option_d":"100","option_e":"","option_f":"","bonne_reponse":"c","explication":"Un événement certain a une probabilité de 1 (ou 100%).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"0\", \"b\": \"0,5\", \"c\": \"1\", \"d\": \"100\"}}","_debug_options_count":4},{"id":25833,"question":"La médiane d'un triangle est toujours perpendiculaire à un côté ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La médiane d'un triangle est une droite qui passe par un sommet et le milieu du côté opposé, mais elle n'est pas nécessairement perpendiculaire à ce côté.","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}]