Quiz Mathématiques — Seconde : Algèbre, Fonctions et Géométrie

Question 1 sur 10 10:00

[{"id":77382,"question":"Quelle est la solution de l'équation 3x - 5 = 2x + 7 ?","option_a":"x = 12","option_b":"x = -12","option_c":"x = 2","option_d":"x = -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En isolant x, on obtient 3x - 2x = 7 + 5 → x = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":77383,"question":"La fonction f(x) = x² - 4x + 3 est-elle toujours positive ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction est positive sauf entre ses racines (x=1 et x=3), où elle est négative.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":77384,"question":"Quel est le coefficient directeur de la droite d'équation y = -2x + 5 ?","option_a":"5","option_b":"-2","option_c":"2","option_d":"-5","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le coefficient directeur est le nombre devant x dans l'équation réduite d'une droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":77385,"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":"√64 cm","option_d":"√136 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"D'après le théorème de Pythagore : 10² = 6² + x² → x = √(100-36) = √64 = 8 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":77386,"question":"La fonction f(x) = 1\/x est-elle définie pour x = 0 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction f(x) = 1\/x n'est pas définie en x = 0 car la division par zéro est impossible.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":77387,"question":"Quelle est la forme factorisée de x² - 9 ?","option_a":"(x-3)(x+3)","option_b":"(x-9)(x+1)","option_c":"(x-3)²","option_d":"(x+3)²","option_e":"","option_f":"","bonne_reponse":"A","explication":"Il s'agit d'une identité remarquable : a² - b² = (a-b)(a+b).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":77388,"question":"Un angle de 120° est-il aigu ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Un angle est aigu s'il est inférieur à 90°. 120° est un angle obtus.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":77389,"question":"Quelle est la solution de l'inéquation 2x + 3 \u003E 7 ?","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E 5","option_d":"x \u003C 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"En isolant x, on obtient 2x \u003E 4 → x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":77390,"question":"Le vecteur u(3; -2) et le vecteur v(-3; 2) sont-ils colinéaires ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Les vecteurs sont colinéaires car v = -1 × u (proportionnalité des coordonnées).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":77391,"question":"Quelle est la valeur de sin(30°) ?","option_a":"√3\/2","option_b":"1\/2","option_c":"√2\/2","option_d":"0","option_e":"","option_f":"","bonne_reponse":"B","explication":"La valeur de sin(30°) est une valeur trigonométrique fondamentale : 1\/2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]