Quiz Maths — Seconde : Algèbre, Fonctions et Géométrie

Question 1 sur 10 10:00

[{"id":29078,"question":"Quelle est la solution de l'équation 3x - 5 = 2x + 1 ?","option_a":"x = 4","option_b":"x = 6","option_c":"x = -4","option_d":"x = -6","option_e":"","option_f":"","bonne_reponse":"B","explication":"En isolant x, on obtient 3x - 2x = 1 + 5 → x = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29079,"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.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29080,"question":"Quel est le coefficient directeur de la droite d'équation y = -4x + 7 ?","option_a":"4","option_b":"-4","option_c":"7","option_d":"-7","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le coefficient directeur est le nombre devant x, soit -4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29081,"question":"Si deux droites sont parallèles, leurs coefficients directeurs sont-ils 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},{"id":29082,"question":"Résoudre l'inéquation 2(x - 1) ≤ 3x + 4.","option_a":"x ≥ -6","option_b":"x ≤ -6","option_c":"x ≥ 6","option_d":"x ≤ 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant, on obtient 2x - 2 ≤ 3x + 4 → -6 ≤ x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29083,"question":"Le théorème de Pythagore s'applique-t-il à tous les triangles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Il ne s'applique qu'aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29084,"question":"Quelle est l'image de 2 par la fonction f(x) = x² - 3x + 1 ?","option_a":"-1","option_b":"1","option_c":"-3","option_d":"3","option_e":"","option_f":"","bonne_reponse":"A","explication":"f(2) = 2² - 3*2 + 1 = 4 - 6 + 1 = -1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29085,"question":"Si A(1, 2) et B(3, 4), quelle est la distance AB ?","option_a":"√8","option_b":"√10","option_c":"2","option_d":"4","option_e":"","option_f":"","bonne_reponse":"B","explication":"AB = √[(3-1)² + (4-2)²] = √(4 + 4) = √8 = 2√2 ≈ 2,83 (arrondi à √10).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29086,"question":"La fonction f(x) = 5 est-elle linéaire ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction linéaire s'écrit f(x) = ax, ce qui est le cas ici avec a = 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29087,"question":"Quel est le centre de symétrie de la fonction f(x) = x² - 4x + 3 ?","option_a":"(2, -1)","option_b":"(1, 0)","option_c":"(0, 3)","option_d":"(-2, -1)","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le sommet de la parabole est en x = -b\/(2a) = 4\/2 = 2. f(2) = 4 - 8 + 3 = -1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]