Quiz : Les fondamentaux des mathématiques en 3ème année

Question 1 sur 10 10:00

[{"id":44676,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 5\/3","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"B","explication":"Résolvons : 3x - 5 = 10 → 3x = 15 → x = 5. La solution est donc x = 15\/3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44677,"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},{"id":44678,"question":"Quelle est la formule de l'aire d'un cercle de rayon r ?","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 πr².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44679,"question":"Si deux droites sont parallèles, 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.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44680,"question":"Résolvez l'inéquation : 2x + 3 \u003E 7","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E 5","option_d":"x \u003C 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Résolvons : 2x + 3 \u003E 7 → 2x \u003E 4 → x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44681,"question":"Le volume d'un cube d'arête a est égal à a³.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le volume d'un cube est bien a³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44682,"question":"Quelle est la solution de 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":"Résolvons : (x - 2)² = 0 → x = 2 (solution double).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44683,"question":"La fonction f(x) = 3x + 2 est une fonction affine.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine s'écrit f(x) = ax + b, donc c'est vrai.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44684,"question":"Quelle est la distance entre les points A(1, 2) et B(4, 6) ?","option_a":"5","option_b":"√25","option_c":"√(18)","option_d":"7","option_e":"","option_f":"","bonne_reponse":"B","explication":"Distance = √[(4-1)² + (6-2)²] = √(9 + 16) = √25 = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44685,"question":"Le théorème de Thalès s'applique-t-il à deux triangles quelconques ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Thalès nécessite que les triangles soient en configuration de Thalès (parallèles).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]