Quiz : Les Fondamentaux de Mathématiques en Seconde

Question 1 sur 10 10:00

[{"id":9293,"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":"3x - 5 = 10 ⇒ 3x = 15 ⇒ x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9294,"question":"Un vecteur a pour coordonnées (2, -3). Quelle est sa norme ?","option_a":"√13","option_b":"5","option_c":"√5","option_d":"√7","option_e":"","option_f":"","bonne_reponse":"A","explication":"La norme d'un vecteur (a, b) est √(a² + b²) = √(4 + 9) = √13.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9295,"question":"La fonction f(x) = 2x + 1 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.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9296,"question":"Quelle est l'image de -2 par la fonction g(x) = x² - 4x + 3 ?","option_a":"15","option_b":"11","option_c":"7","option_d":"3","option_e":"","option_f":"","bonne_reponse":"B","explication":"g(-2) = (-2)² - 4*(-2) + 3 = 4 + 8 + 3 = 15.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9297,"question":"Dans un triangle ABC, si AB = 5 cm et AC = 3 cm, peut-on avoir BC = 10 cm ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La somme des deux côtés doit être supérieure au troisième : 5 + 3 \u003E 10 est faux.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9298,"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 : (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9299,"question":"Un point M a pour coordonnées (4, -1). Quel est son symétrique par rapport à l'origine ?","option_a":"(-4, 1)","option_b":"(4, 1)","option_c":"(-4, -1)","option_d":"(1, -4)","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le symétrique par rapport à l'origine inverse les coordonnées : (-4, 1).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9300,"question":"L'inéquation 2x + 3 \u003E 7 a pour solution x \u003E 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 3 \u003E 7 ⇒ 2x \u003E 4 ⇒ x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9301,"question":"Quelle est la pente de la droite d'équation y = -3x + 5 ?","option_a":"-3","option_b":"5","option_c":"3","option_d":"-5","option_e":"","option_f":"","bonne_reponse":"A","explication":"La pente est le coefficient de x dans y = ax + b, ici a = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9302,"question":"Si deux droites sont parallèles, leurs coefficients directeurs sont égaux.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Deux droites parallèles ont le même coefficient directeur.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]