Quiz Maths Seconde : Algèbre, Fonctions et Géométrie

Question 1 sur 10 10:00

[{"id":76212,"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 = 4\/3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 7, on ajoute 5 des deux côtés : 3x = 12, puis on divise par 3 : x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76213,"question":"La fonction f(x) = 2x + 3 est-elle croissante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La fonction f(x) = 2x + 3 est une fonction affine de coefficient directeur 2 \u003E 0, donc elle est croissante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76214,"question":"Quel est le coefficient directeur de la droite d'équation y = -4x + 1 ?","option_a":"1","option_b":"-4","option_c":"4","option_d":"-1","option_e":"","option_f":"","bonne_reponse":"B","explication":"Dans l'équation y = mx + b, m représente le coefficient directeur. Ici, m = -4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76215,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés. Vrai ou faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est l'énoncé du théorème de Pythagore, valable uniquement pour les triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76216,"question":"Résoudre l'inéquation 2x + 1 \u003E 5.","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E 3","option_d":"x \u003C 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 1 \u003E 5 → 2x \u003E 4 → x \u003E 2. L'inégalité change de sens si on multiplie\/divise par un nombre négatif, ce qui n'est pas le cas ici.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76217,"question":"Quelle est l'image de 2 par la fonction f(x) = x² - 3x + 2 ?","option_a":"0","option_b":"2","option_c":"-2","option_d":"4","option_e":"","option_f":"","bonne_reponse":"A","explication":"f(2) = 2² - 3*2 + 2 = 4 - 6 + 2 = 0. L'image de 2 par f est donc 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76218,"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":"Pour x = 2, y = 3*2 - 1 = 5. Le point A(2; 5) vérifie l'équation, donc il appartient à la droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76219,"question":"Quelle est la solution du système { 2x + y = 5 ; x - y = 1 } ?","option_a":"x = 2, y = 1","option_b":"x = 1, y = 3","option_c":"x = 3, y = -1","option_d":"x = 0, y = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"En additionnant les deux équations : 3x = 6 → x = 2. En remplaçant dans la seconde équation : 2 - y = 1 → y = 1. La solution est (2; 1).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76220,"question":"La moyenne de 4, 6, 8 et 10 est-elle égale à 7 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Moyenne = (4 + 6 + 8 + 10)\/4 = 28\/4 = 7. La moyenne est bien égale à 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76221,"question":"Quelle est l'aire d'un triangle de base 6 cm et de hauteur 4 cm ?","option_a":"12 cm²","option_b":"24 cm²","option_c":"10 cm²","option_d":"8 cm²","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un triangle est donnée par (base * hauteur)\/2. Ici, (6 * 4)\/2 = 12 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]