Quiz Maths Seconde : Algèbre, Fonctions et Géométrie

Question 1 sur 10 10:00

[{"id":45726,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 5\/3","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 5 = 10 ⇒ 3x = 15 ⇒ x = 5. La solution est x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45727,"question":"La fonction f(x) = x² est-elle toujours positive ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour tout x réel, x² ≥ 0. La fonction est donc toujours positive ou nulle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45728,"question":"Quel est le développement de (x + 3)(x - 2) ?","option_a":"x² + x - 6","option_b":"x² - x - 6","option_c":"x² + x + 6","option_d":"x² - 6x + 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"(x + 3)(x - 2) = x² - 2x + 3x - 6 = x² + x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45729,"question":"Le théorème de Pythagore s'applique-t-il à tous les triangles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45730,"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":"x² - 9 est une différence de carrés : x² - 3² = (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45731,"question":"La droite d'équation y = 2x + 1 a-t-elle un coefficient directeur égal à 1 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le coefficient directeur de y = 2x + 1 est 2, pas 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45732,"question":"Résoudre l'inéquation 2x + 4 \u003E 0.","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":"2x + 4 \u003E 0 ⇒ 2x \u003E -4 ⇒ x \u003E -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45733,"question":"Les vecteurs u(2; 3) et v(-2; -3) sont-ils colinéaires ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Les vecteurs u et v sont colinéaires car v = -1 × u.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45734,"question":"Quelle est l'image de 4 par la fonction f(x) = 2x - 1 ?","option_a":"7","option_b":"9","option_c":"3","option_d":"5","option_e":"","option_f":"","bonne_reponse":"A","explication":"f(4) = 2 × 4 - 1 = 8 - 1 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45735,"question":"La fonction f(x) = 1\/x est-elle définie en 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}]