Quiz Maths Seconde : Exercice Niveau 2 — Testez vos connaissances !

Question 1 sur 10 10:00

[{"id":68712,"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":"La solution est obtenue en isolant x : 3x = 15 → x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68713,"question":"La fonction f(x) = 2x + 3 est-elle 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, ce qui est le cas ici avec a=2 et b=3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68714,"question":"Quel est le discriminant de l'équation x² - 4x + 3 = 0 ?","option_a":"Δ = 4","option_b":"Δ = 0","option_c":"Δ = 16","option_d":"Δ = -4","option_e":"","option_f":"","bonne_reponse":"C","explication":"Le discriminant est calculé par Δ = b² - 4ac = 16 - 12 = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68715,"question":"Le triangle ABC avec AB=5, BC=12 et AC=13 est-il rectangle ?","option_a":"Oui, en A","option_b":"Oui, en B","option_c":"Non","option_d":"Oui, en C","option_e":"","option_f":"","bonne_reponse":"A","explication":"Vérification par le théorème de Pythagore : 5² + 12² = 13² → 25 + 144 = 169.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68716,"question":"L'inéquation 2x + 1 \u003E 5 a pour solution x \u003E 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La solution est x \u003E 2, mais l'inégalité est stricte (x \u003E 2, pas x ≥ 2).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68717,"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":"C'est une identité remarquable : a² - b² = (a - b)(a + b).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68718,"question":"La droite d'équation y = -2x + 1 a un coefficient directeur égal à :","option_a":"1","option_b":"-2","option_c":"2","option_d":"-1","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le coefficient directeur est le nombre devant x dans l'équation réduite y = mx + p.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68719,"question":"Le point A(2 ; 5) appartient-il à la droite d'équation y = 3x - 1 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"En remplaçant x=2, on obtient y=5, ce qui correspond aux coordonnées de A.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68720,"question":"Quel est le résultat de (x + 2)(x - 2) ?","option_a":"x² - 4","option_b":"x² + 4","option_c":"x² - 2x + 4","option_d":"x² + 2x - 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une identité remarquable : (a + b)(a - b) = a² - b².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68721,"question":"La fonction f(x) = x² est-elle croissante sur ℝ ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction est décroissante sur ]-∞ ; 0] et croissante sur [0 ; +∞[.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]