Quiz — 672b786acdc06_série de révision n°11_enrg_corrigé.pdf

Question 1 sur 10 20:00

[{"id":11733,"question":"Quelle est la solution de l'équation 3x - 5 = 2x + 7 ?","option_a":"x = 2","option_b":"x = 12","option_c":"x = -2","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"b","explication":"Pour résoudre 3x - 5 = 2x + 7, on soustrait 2x des deux côtés : x - 5 = 7, puis on ajoute 5 : x = 12.","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 = 2\", \"b\": \"x = 12\", \"c\": \"x = -2\", \"d\": \"x = 5\"}}","_debug_options_count":4},{"id":11734,"question":"La fonction f(x) = 2x² - 3x + 1 est-elle une fonction affine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Une fonction affine a la forme f(x) = ax + b. Ici, f(x) = 2x² - 3x + 1 est une fonction polynôme du second degré, donc non affine.","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":11735,"question":"Quel est le coefficient directeur de la droite d'équation y = -4x + 3 ?","option_a":"3","option_b":"-4","option_c":"4","option_d":"-3","option_e":"","option_f":"","bonne_reponse":"b","explication":"Dans l'équation y = ax + b, a représente le coefficient directeur. Ici, a = -4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"3\", \"b\": \"-4\", \"c\": \"4\", \"d\": \"-3\"}}","_debug_options_count":4},{"id":11736,"question":"Dans un triangle rectangle, si l'angle A mesure 30°, alors sin(A) est égal à :","option_a":"√3\/2","option_b":"1\/2","option_c":"√2\/2","option_d":"2\/√3","option_e":"","option_f":"","bonne_reponse":"b","explication":"Pour un angle de 30°, sin(30°) = 1\/2. C'est une valeur à connaître par cœur.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"√3\/2\", \"b\": \"1\/2\", \"c\": \"√2\/2\", \"d\": \"2\/√3\"}}","_debug_options_count":4},{"id":11737,"question":"La moyenne d'une série de 5 nombres est 12. Si on ajoute le nombre 20 à cette série, la nouvelle moyenne devient :","option_a":"13","option_b":"14","option_c":"15","option_d":"16","option_e":"","option_f":"","bonne_reponse":"c","explication":"La somme des 5 nombres est 5 × 12 = 60. En ajoutant 20, la somme devient 80 pour 6 nombres, donc la moyenne est 80\/6 ≈ 13,33. La réponse la plus proche est 14.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"13\", \"b\": \"14\", \"c\": \"15\", \"d\": \"16\"}}","_debug_options_count":4},{"id":11738,"question":"La dérivée de la fonction f(x) = x³ - 2x² + 5 est f'(x) = 3x² - 4x.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La dérivée de x³ est 3x², celle de -2x² est -4x, et celle de 5 est 0. Donc f'(x) = 3x² - 4x est correcte.","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":11739,"question":"Quelle est la solution de l'inéquation 2x + 3 \u003E 5x - 6 ?","option_a":"x \u003C 3","option_b":"x \u003E 3","option_c":"x \u003C -3","option_d":"x \u003E -3","option_e":"","option_f":"","bonne_reponse":"a","explication":"En soustrayant 2x et en ajoutant 6, on obtient 9 \u003E 3x, soit x \u003C 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 \u003C 3\", \"b\": \"x \u003E 3\", \"c\": \"x \u003C -3\", \"d\": \"x \u003E -3\"}}","_debug_options_count":4},{"id":11740,"question":"Dans un cercle de rayon 5 cm, la longueur d'un arc de 60° est :","option_a":"5π\/3 cm","option_b":"5π\/6 cm","option_c":"10π\/3 cm","option_d":"π\/3 cm","option_e":"","option_f":"","bonne_reponse":"b","explication":"La longueur d'un arc est donnée par (θ\/360) × 2πr. Ici, (60\/360) × 2π × 5 = 5π\/3 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"5π\/3 cm\", \"b\": \"5π\/6 cm\", \"c\": \"10π\/3 cm\", \"d\": \"π\/3 cm\"}}","_debug_options_count":4},{"id":11741,"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 ont la même pente.","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":11742,"question":"Quelle est la probabilité d'obtenir un nombre pair en lançant un dé équilibré ?","option_a":"1\/6","option_b":"1\/3","option_c":"1\/2","option_d":"2\/3","option_e":"","option_f":"","bonne_reponse":"c","explication":"Un dé a 6 faces : 1, 2, 3, 4, 5, 6. Les nombres pairs sont 2, 4, 6, soit 3 cas favorables sur 6 possibles. Donc P = 3\/6 = 1\/2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"1\/6\", \"b\": \"1\/3\", \"c\": \"1\/2\", \"d\": \"2\/3\"}}","_debug_options_count":4}]