Maths Bac : Évaluez vos connaissances en algèbre, analyse et géométrie !

Question 1 sur 5 10:00

[{"id":1460,"question":"Quelle est la solution de l'équation 3x² - 5x - 2 = 0 ?","option_a":"x = 2 ou x = -1\/3","option_b":"x = -2 ou x = 1\/3","option_c":"x = 1 ou x = -2\/3","option_d":"x = -1 ou x = 2\/3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Résolvez l'équation en utilisant la formule du discriminant Δ = b² - 4ac. Ici, Δ = 25 + 24 = 49, donc x = (5 ± 7)\/6. Les solutions sont x = 2 et x = -1\/3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":1461,"question":"Quelle est la dérivée de la fonction f(x) = 4x³ - 2x² + 5x - 1 ?","option_a":"f'(x) = 12x² - 4x + 5","option_b":"f'(x) = 12x² - 4x - 1","option_c":"f'(x) = 4x² - 2x + 5","option_d":"f'(x) = 12x² + 4x + 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Appliquez la règle de dérivation terme à terme : la dérivée de ax^n est n·ax^(n-1). Ainsi, f'(x) = 12x² - 4x + 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":1462,"question":"Dans un triangle rectangle ABC avec AB = 6 cm, BC = 8 cm et AC = 10 cm, quelle est la valeur de sin(∠BAC) ?","option_a":"3\/5","option_b":"4\/5","option_c":"5\/12","option_d":"6\/10","option_e":"","option_f":"","bonne_reponse":"B","explication":"Dans un triangle rectangle, sin(θ) = côté opposé \/ hypoténuse. Ici, sin(∠BAC) = BC\/AC = 8\/10 = 4\/5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":1463,"question":"Quelle est la solution de l'inéquation 2x - 3 \u003E 5 ?","option_a":"x \u003E 4","option_b":"x \u003C 4","option_c":"x \u003E 1","option_d":"x \u003C -1","option_e":"","option_f":"","bonne_reponse":"A","explication":"Isoler x : 2x \u003E 8 → x \u003E 4. L'inéquation est vérifiée pour tous les x strictement supérieurs à 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":1464,"question":"Quel est le coefficient directeur de la droite d'équation y = -3x + 7 ?","option_a":"7","option_b":"-3","option_c":"3","option_d":"-7","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le coefficient directeur (ou pente) d'une droite d'équation y = ax + b est le nombre a. Ici, a = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]