Quiz Maths : 2ème année secondaire — Testez vos connaissances !

Question 1 sur 10 10:00

[{"id":30258,"question":"Quelle est la solution de l'équation 3x - 7 = 2x + 5 ?","option_a":"x = 12","option_b":"x = 2","option_c":"x = -12","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 7 = 2x + 5, on soustrait 2x des deux côtés : x - 7 = 5, puis on ajoute 7 : x = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":30259,"question":"La fonction f(x) = 2x + 3 est une fonction affine.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine s'écrit sous la forme f(x) = ax + b. Ici, a = 2 et b = 3, donc c'est bien une fonction affine.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":30260,"question":"Quel est le développement de (x + 4)(x - 2) ?","option_a":"x² + 2x - 8","option_b":"x² - 2x + 8","option_c":"x² + 6x - 8","option_d":"x² - 8","option_e":"","option_f":"","bonne_reponse":"A","explication":"En utilisant la distributivité : (x + 4)(x - 2) = x² - 2x + 4x - 8 = x² + 2x - 8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":30261,"question":"Le triangle ABC est rectangle en A. Si AB = 3 cm et AC = 4 cm, quelle est la longueur de BC ?","option_a":"5 cm","option_b":"7 cm","option_c":"1 cm","option_d":"√7 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"D'après le théorème de Pythagore : BC² = AB² + AC² = 9 + 16 = 25, donc BC = 5 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":30262,"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. La probabilité d'un événement certain est égale à 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":30263,"question":"Quelle est la dérivée de la fonction f(x) = x² + 5x - 3 ?","option_a":"f'(x) = 2x + 5","option_b":"f'(x) = x + 5","option_c":"f'(x) = 2x - 3","option_d":"f'(x) = x² + 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de x² est 2x, celle de 5x est 5, et celle de -3 est 0. Donc f'(x) = 2x + 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":30264,"question":"Dans un cercle de rayon 5 cm, quelle est la longueur d'un arc de 60° ?","option_a":"5π\/3 cm","option_b":"10π\/3 cm","option_c":"5π cm","option_d":"π\/3 cm","option_e":"","option_f":"","bonne_reponse":"B","explication":"La longueur d'un arc est donnée par (θ\/360) × 2πr. Ici, (60\/360) × 2π × 5 = (1\/6) × 10π = 10π\/3 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":30265,"question":"L'inéquation 2x + 7 ≤ 3x - 1 a pour solution x ≥ 8.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 2x des deux côtés : 7 ≤ x - 1, puis en ajoutant 1 : 8 ≤ x, soit x ≥ 8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":30266,"question":"Quel est le résultat de √(16) + √(9) ?","option_a":"7","option_b":"5","option_c":"√25","option_d":"4 + 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"√(16) = 4 et √(9) = 3, donc √(16) + √(9) = 4 + 3 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":30267,"question":"La médiatrice d'un segment est la droite qui passe par son milieu et est perpendiculaire à ce segment.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Par définition, la médiatrice d'un segment est la droite perpendiculaire à ce segment passant par son milieu.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]