Quiz — Correction de l'exercice 15 du sujet de révision 1 - Vacances Mars.pdf

Question 1 sur 10 20:00

[{"id":38980,"question":"Quelle est la solution de l'équation x² - 5x + 6 = 0 ?","option_a":"A. x = 2 ou x = 3","option_b":"B. x = -2 ou x = -3","option_c":"C. x = 1 ou x = 6","option_d":"D. x = 0 ou x = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'équation x² - 5x + 6 = 0 se factorise en (x-2)(x-3) = 0. Les solutions sont donc x = 2 et x = 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\": \"A. x = 2 ou x = 3\", \"b\": \"B. x = -2 ou x = -3\", \"c\": \"C. x = 1 ou","_debug_options_count":4},{"id":38981,"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, valable uniquement pour les 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":38982,"question":"Quelle est la probabilité de tirer un as dans un jeu de 52 cartes ?","option_a":"A. 1\/13","option_b":"B. 1\/26","option_c":"C. 1\/52","option_d":"D. 4\/52","option_e":"","option_f":"","bonne_reponse":"a","explication":"Il y a 4 as dans un jeu de 52 cartes. La probabilité est donc 4\/52, soit 1\/13 après simplification.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"A. 1\/13\", \"b\": \"B. 1\/26\", \"c\": \"C. 1\/52\", \"d\": \"D. 4\/52\"}}","_debug_options_count":4},{"id":38983,"question":"Si un angle d'un triangle mesure 60° et un autre 40°, quel est la mesure du troisième angle ?","option_a":"A. 80°","option_b":"B. 90°","option_c":"C. 100°","option_d":"D. 70°","option_e":"","option_f":"","bonne_reponse":"b","explication":"La somme des angles d'un triangle est 180°. Le troisième angle mesure donc 180° - 60° - 40° = 80°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"A. 80°\", \"b\": \"B. 90°\", \"c\": \"C. 100°\", \"d\": \"D. 70°\"}}","_debug_options_count":4},{"id":38984,"question":"La formule de l'aire d'un cercle est πr². Vrai ou Faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La formule correcte est A = πr², où r est le rayon du cercle.","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":38985,"question":"Résolvez l'inéquation 3x - 7 \u003E 2x + 5.","option_a":"A. x \u003E 12","option_b":"B. x \u003C 12","option_c":"C. x \u003E -12","option_d":"D. x \u003C -12","option_e":"","option_f":"","bonne_reponse":"a","explication":"En soustrayant 2x des deux côtés, on obtient x - 7 \u003E 5. Puis en ajoutant 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\": \"A. x \u003E 12\", \"b\": \"B. x \u003C 12\", \"c\": \"C. x \u003E -12\", \"d\": \"D. x \u003C -12","_debug_options_count":4},{"id":38986,"question":"Dans une classe de 30 élèves, 40% sont des filles. Combien y a-t-il de garçons ?","option_a":"A. 12","option_b":"B. 18","option_c":"C. 20","option_d":"D. 15","option_e":"","option_f":"","bonne_reponse":"b","explication":"40% de 30 élèves = 12 filles. Le nombre de garçons est donc 30 - 12 = 18.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"A. 12\", \"b\": \"B. 18\", \"c\": \"C. 20\", \"d\": \"D. 15\"}}","_debug_options_count":4},{"id":38987,"question":"Le théorème de Thalès s'applique uniquement aux triangles isocèles. Vrai ou Faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le théorème de Thalès s'applique à tous les triangles, à condition que les droites soient parallèles.","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":38988,"question":"Quelle est la solution de l'équation 2(x + 3) = 4x - 2 ?","option_a":"A. x = 2","option_b":"B. x = 4","option_c":"C. x = -2","option_d":"D. x = 0","option_e":"","option_f":"","bonne_reponse":"c","explication":"En développant, on obtient 2x + 6 = 4x - 2. Puis en soustrayant 2x, 6 = 2x - 2. Enfin, 8 = 2x, donc x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"A. x = 2\", \"b\": \"B. x = 4\", \"c\": \"C. x = -2\", \"d\": \"D. x = 0\"}}","_debug_options_count":4},{"id":38989,"question":"La médiane d'un triangle est une droite qui passe par un sommet et le milieu du côté opposé. Vrai ou Faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est la définition exacte d'une médiane dans un triangle.","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}]