Quiz Mathématiques — Seconde : Algèbre, Fonctions et Géométrie

Question 1 sur 10 10:00

[{"id":23408,"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 = 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"Résoudre l'équation : 3x - 5 = 7 → 3x = 12 → x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23409,"question":"La fonction f(x) = 2x + 3 est-elle 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 sous la forme f(x) = ax + b. Ici, a = 2 et b = 3, donc c'est bien une fonction affine.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23410,"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":"Utilisez l'identité remarquable a² - b² = (a - b)(a + b). Ici, x² - 9 = (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23411,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés. Cette propriété s'appelle :","option_a":"Théorème de Thalès","option_b":"Théorème de Pythagore","option_c":"Théorème des milieux","option_d":"Propriété des angles","option_e":"","option_f":"","bonne_reponse":"B","explication":"C'est le théorème de Pythagore, fondamental en géométrie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23412,"question":"L'inéquation 2x + 5 \u003E 11 a pour solution :","option_a":"x \u003E 3","option_b":"x \u003C 3","option_c":"x \u003E -3","option_d":"x \u003C -3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Résoudre : 2x + 5 \u003E 11 → 2x \u003E 6 → x \u003E 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23413,"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":"Dans l'équation y = ax + b, a est le coefficient directeur. Ici, a = -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23414,"question":"Un quadrilatère ayant deux côtés parallèles est toujours un parallélogramme.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Un parallélogramme a deux paires de côtés parallèles. Un seul couple de côtés parallèles ne suffit pas.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23415,"question":"Quelle est la valeur de f(2) pour la fonction f(x) = x² - 4x + 5 ?","option_a":"1","option_b":"5","option_c":"-3","option_d":"3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Calculer f(2) = (2)² - 4*(2) + 5 = 4 - 8 + 5 = 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23416,"question":"L'équation x² + 4x + 4 = 0 admet :","option_a":"Deux solutions distinctes","option_b":"Une solution double","option_c":"Aucune solution","option_d":"Trois solutions","option_e":"","option_f":"","bonne_reponse":"B","explication":"Factoriser : (x + 2)² = 0 → x = -2 (solution double).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23417,"question":"Dans un repère orthonormé, la distance entre les points A(1; 2) et B(4; 6) est :","option_a":"5","option_b":"√(13)","option_c":"7","option_d":"√(25)","option_e":"","option_f":"","bonne_reponse":"A","explication":"Utiliser la formule : AB = √[(4-1)² + (6-2)²] = √(9 + 16) = √25 = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]