Quiz — 59.DOC

Question 1 sur 5 10:00

[{"id":823,"question":"Quelle est la solution de l'équation 2x - 5 = 7 ?","option_a":"x = 1","option_b":"x = 6","option_c":"x = 4","option_d":"x = 3","option_e":"","option_f":"","bonne_reponse":"C","explication":"Pour résoudre 2x - 5 = 7, on ajoute 5 des deux côtés : 2x = 12, puis on divise par 2 : x = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":824,"question":"Quel est le coefficient directeur de la droite d'équation y = 3x - 2 ?","option_a":"-2","option_b":"3","option_c":"2","option_d":"1","option_e":"","option_f":"","bonne_reponse":"B","explication":"Dans l'équation y = ax + b, 'a' représente le coefficient directeur. Ici, a = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":825,"question":"Si f(x) = x² - 4x + 3, quelle est l'image de 2 par f ?","option_a":"1","option_b":"-1","option_c":"3","option_d":"0","option_e":"","option_f":"","bonne_reponse":"A","explication":"On remplace x par 2 : f(2) = (2)² - 4*(2) + 3 = 4 - 8 + 3 = -1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":826,"question":"Dans un triangle rectangle, si l'hypoténuse mesure 10 cm et un côté mesure 6 cm, quelle est la longueur du troisième côté ?","option_a":"8 cm","option_b":"4 cm","option_c":"12 cm","option_d":"√136 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"D'après le théorème de Pythagore : 6² + x² = 10² → 36 + x² = 100 → x² = 64 → x = 8 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":827,"question":"Quelle est la dérivée de la fonction f(x) = 4x³ - 2x² + x - 5 ?","option_a":"f'(x) = 12x² - 4x + 1","option_b":"f'(x) = 12x² - 4x","option_c":"f'(x) = 4x² - 2x + 1","option_d":"f'(x) = 12x - 4x + 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée d'une fonction polynôme est obtenue en multipliant chaque terme par son exposant et en réduisant l'exposant de 1 : f'(x) = 12x² - 4x + 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]