Maths 4M : Testez vos connaissances en algèbre, analyse et géométrie !

Question 1 sur 5 10:00

[{"id":1750,"question":"Quelle est la solution de l'équation 3x - 7 = 2x + 5 ?","option_a":"x = 12","option_b":"x = 2","option_c":"x = -2","option_d":"x = 7","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre l'équation, on isole x en soustrayant 2x des deux côtés, puis on ajoute 7. Cela donne x = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":1751,"question":"Quelle est la dérivée de la fonction f(x) = x² + 3x - 4 ?","option_a":"f'(x) = 2x + 3","option_b":"f'(x) = x + 3","option_c":"f'(x) = 2x - 4","option_d":"f'(x) = x² + 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée d'une fonction polynôme s'obtient en appliquant la règle de dérivation : f'(x) = 2x + 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":1752,"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":"7 cm","option_c":"5 cm","option_d":"4 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"En appliquant le théorème de Pythagore : 10² = 6² + x² → x² = 64 → x = 8 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":1753,"question":"Quelle est la solution du système d'équations { 2x + y = 5 ; x - y = 1 } ?","option_a":"x = 2, y = 1","option_b":"x = 1, y = 3","option_c":"x = 3, y = -1","option_d":"x = 0, y = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"En additionnant les deux équations, on obtient 3x = 6 → x = 2. En substituant, y = 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":1754,"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":"B","explication":"En simplifiant, f(x) = 2x + 3. Quand x tend vers 0, f(x) tend vers 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]