Maths 4ème année secondaire : Testez vos connaissances en série

Question 1 sur 10 10:00

[{"id":64932,"question":"Quelle est la dérivée de la fonction f(x) = 3x² + 2x - 5 ?","option_a":"6x + 2","option_b":"3x² + 2","option_c":"6x - 5","option_d":"3x + 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":64933,"question":"Le théorème de Pythagore s'applique uniquement aux triangles rectangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Pythagore est valable uniquement pour les triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64934,"question":"Résolvez l'équation : 2x - 3 = 7. Quelle est la valeur de x ?","option_a":"x = 2","option_b":"x = 5","option_c":"x = -2","option_d":"x = 3","option_e":"","option_f":"","bonne_reponse":"B","explication":"2x - 3 = 7 → 2x = 10 → x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64935,"question":"Quelle est la formule de la moyenne arithmétique de trois nombres a, b et c ?","option_a":"(a + b + c) \/ 3","option_b":"(a + b) \/ 2","option_c":"a + b + c","option_d":"√(a² + b² + c²)","option_e":"","option_f":"","bonne_reponse":"A","explication":"La moyenne arithmétique de trois nombres est la somme divisée par 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64936,"question":"La fonction f(x) = x³ est une fonction paire.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Une fonction paire vérifie f(-x) = f(x). Ici, f(-x) = -x³ ≠ f(x).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64937,"question":"Quelle est la solution de l'inéquation : 3x + 5 \u003E 11 ?","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E -2","option_d":"x \u003C -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x + 5 \u003E 11 → 3x \u003E 6 → x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64938,"question":"Dans un triangle ABC, si AB = 5 cm, BC = 12 cm et AC = 13 cm, alors le triangle est rectangle.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"5² + 12² = 25 + 144 = 169 = 13², donc le triangle est rectangle en B.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64939,"question":"Quelle est la limite de la fonction f(x) = (2x² + 3x) \/ x quand x tend vers 0 ?","option_a":"0","option_b":"2","option_c":"3","option_d":"∞","option_e":"","option_f":"","bonne_reponse":"D","explication":"f(x) = (2x² + 3x) \/ x = 2x + 3 → lim(x→0) f(x) = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64940,"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":64941,"question":"Quelle est la solution du système d'équations : { x + y = 5 ; x - y = 1 } ?","option_a":"x = 3, y = 2","option_b":"x = 2, y = 3","option_c":"x = 4, y = 1","option_d":"x = 1, y = 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"En additionnant les deux équations : 2x = 6 → x = 3, puis y = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]