Maths Seconde : Testez vos connaissances en algèbre et géométrie

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[{"id":29638,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 12\/3","option_c":"x = 2","option_d":"x = 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Résolvons : 3x = 7 + 5 → 3x = 12 → x = 12\/3 = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29639,"question":"Le théorème de Pythagore s'applique uniquement aux triangles rectangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Pythagore est valable uniquement pour les triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29640,"question":"Quelle est l'image de 2 par la fonction f(x) = x² + 3x - 1 ?","option_a":"f(2) = 9","option_b":"f(2) = 11","option_c":"f(2) = 7","option_d":"f(2) = 5","option_e":"","option_f":"","bonne_reponse":"B","explication":"Calcul : f(2) = 2² + 3*2 - 1 = 4 + 6 - 1 = 9. L'option correcte est f(2) = 9.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29641,"question":"Dans un triangle ABC, si AB = 5 cm, BC = 4 cm et AC = 3 cm, alors ce triangle est rectangle.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Vérifions : 3² + 4² = 9 + 16 = 25 = 5². Le triangle est rectangle en B.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29642,"question":"Résolvez l'inéquation : 2x + 3 \u003E 7.","option_a":"x \u003E 2","option_b":"x \u003E 5","option_c":"x \u003C 2","option_d":"x \u003C 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x \u003E 7 - 3 → 2x \u003E 4 → x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29643,"question":"La fonction f(x) = 2x + 1 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 f(x) = ax + b, ici a = 2 et b = 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29644,"question":"Quelle est la solution de l'équation x² - 5x + 6 = 0 ?","option_a":"x = 2 ou x = 3","option_b":"x = 1 ou x = 6","option_c":"x = -2 ou x = -3","option_d":"x = 0 ou x = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Factorisation : (x-2)(x-3) = 0 → x = 2 ou x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29645,"question":"Dans un triangle équilatéral, tous les angles mesurent 60°.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La somme des angles d'un triangle est 180°, divisée en 3 angles égaux : 180\/3 = 60°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29646,"question":"Calculez la moyenne des nombres 4, 6, 8 et 10.","option_a":"7","option_b":"8","option_c":"6","option_d":"9","option_e":"","option_f":"","bonne_reponse":"B","explication":"Moyenne = (4 + 6 + 8 + 10)\/4 = 28\/4 = 7. L'option correcte est 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29647,"question":"La fonction f(x) = x³ est une fonction 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) = (-x)³ = -x³ ≠ f(x).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]