Quiz : Les fondamentaux de mathématiques en Seconde

Question 1 sur 10 10:00

[{"id":49461,"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 = 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"En ajoutant 5 des deux côtés, on obtient 3x = 15, puis en divisant par 3, x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":49462,"question":"La fonction f(x) = 2x + 1 est-elle croissante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le coefficient directeur 2 est positif, donc la fonction est croissante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":49463,"question":"Quel est le résultat de (x + 3)(x - 2) ?","option_a":"x² + x - 6","option_b":"x² + 5x - 6","option_c":"x² - x - 6","option_d":"x² + x + 6","option_e":"","option_f":"","bonne_reponse":"C","explication":"En développant, on obtient x² - 2x + 3x - 6 = x² + x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":49464,"question":"L'équation x² - 4x + 4 = 0 a-t-elle deux solutions distinctes ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le discriminant Δ = 16 - 16 = 0, donc une seule solution double x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":49465,"question":"Quelle est l'image de 3 par la fonction f(x) = x² - 2x + 1 ?","option_a":"4","option_b":"2","option_c":"0","option_d":"6","option_e":"","option_f":"","bonne_reponse":"A","explication":"En remplaçant x par 3, on obtient f(3) = 9 - 6 + 1 = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":49466,"question":"La droite d'équation y = -2x + 5 est-elle parallèle à la droite y = -2x - 3 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Deux droites sont parallèles si elles ont le même coefficient directeur, ici -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":49467,"question":"Quel est le résultat de √(16) + √(9) ?","option_a":"7","option_b":"5","option_c":"10","option_d":"4","option_e":"","option_f":"","bonne_reponse":"B","explication":"√(16) = 4 et √(9) = 3, donc 4 + 3 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":49468,"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 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":49469,"question":"Quel est le résultat de (2x + 1)² ?","option_a":"4x² + 4x + 1","option_b":"2x² + 4x + 1","option_c":"4x² + 2x + 1","option_d":"4x² + x + 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant, on obtient 4x² + 4x + 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":49470,"question":"La fonction f(x) = x³ est-elle paire ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Une fonction paire vérifie f(-x) = f(x). Ici, f(-x) = -x³ ≠ f(x), donc elle est impaire.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]