Quiz : Maîtrisez les maths de la 3ème année secondaire (Sciences)

Question 1 sur 10 10:00

[{"id":41416,"question":"Quelle est la solution de l’équation 2x² - 8x + 6 = 0 ?","option_a":"x = 1 ou x = 3","option_b":"x = 2 ou x = 4","option_c":"x = -1 ou x = -3","option_d":"x = 0 ou x = 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"Résolvons l’équation 2x² - 8x + 6 = 0 en utilisant la formule des racines : x = [8 ± √(64 - 48)] \/ 4 = [8 ± √16]\/4 = [8 ± 4]\/4. Les solutions sont donc x = 3 et x = 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":41417,"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":41418,"question":"Quelle est la dérivée de la fonction f(x) = 3x² + 2x - 5 ?","option_a":"f'(x) = 6x + 2","option_b":"f'(x) = 3x + 2","option_c":"f'(x) = 6x² + 2","option_d":"f'(x) = 5x + 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée d’une fonction polynôme se calcule terme par terme : f'(x) = 6x + 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":41419,"question":"Dans un triangle rectangle, si l’angle A mesure 30°, quelle est la valeur de sin(A) ?","option_a":"1\/2","option_b":"√3\/2","option_c":"√2\/2","option_d":"1","option_e":"","option_f":"","bonne_reponse":"A","explication":"Dans un triangle rectangle, sin(30°) = côté opposé \/ hypoténuse = 1\/2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":41420,"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 égale à 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":41421,"question":"Quelle est la solution de l’inéquation 3x - 7 \u003C 2x + 5 ?","option_a":"x \u003C 12","option_b":"x \u003E 12","option_c":"x \u003C -12","option_d":"x \u003E -12","option_e":"","option_f":"","bonne_reponse":"A","explication":"Résolvons l’inéquation : 3x - 7 \u003C 2x + 5 → x \u003C 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":41422,"question":"Quel est le périmètre d’un cercle de rayon 5 cm ?","option_a":"10π cm","option_b":"25π cm","option_c":"5π cm","option_d":"20π cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre d’un cercle se calcule avec la formule P = 2πr. Ici, P = 2π × 5 = 10π cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":41423,"question":"La formule cos²(x) + sin²(x) = 1 est-elle toujours vraie ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Cette formule est une identité trigonométrique fondamentale et est toujours vraie pour tout angle x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":41424,"question":"Quelle est la valeur de l’angle dont le cosinus est égal à √3\/2 ?","option_a":"30°","option_b":"45°","option_c":"60°","option_d":"90°","option_e":"","option_f":"","bonne_reponse":"C","explication":"cos(60°) = √3\/2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":41425,"question":"Un événement certain a une probabilité égale à 0.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La probabilité d’un événement certain est égale à 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]