Quiz Maths Seconde : Algèbre, Fonctions et Géométrie

Question 1 sur 10 10:00

[{"id":24568,"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 = 1","option_e":"","option_f":"","bonne_reponse":"C","explication":"En soustrayant 2x des deux côtés et en ajoutant 5, on obtient x = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24569,"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, ce qui est le cas ici avec a=2 et b=3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24570,"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 d'une droite d'équation y = ax + b est égal à a, ici a = -4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24571,"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":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24572,"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":"En soustrayant 1 et en divisant par 2, on obtient x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24573,"question":"Quelle est la nature de la fonction f(x) = -3x ?","option_a":"Affine","option_b":"Constante","option_c":"Linéaire","option_d":"Quadratique","option_e":"","option_f":"","bonne_reponse":"C","explication":"Une fonction linéaire s'écrit sous la forme f(x) = ax, ici a = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24574,"question":"Le triangle ABC est rectangle en A avec AB = 3 cm et AC = 4 cm. Quelle est la longueur de BC ?","option_a":"5 cm","option_b":"7 cm","option_c":"12 cm","option_d":"8 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"D'après le théorème de Pythagore, BC = √(3² + 4²) = 5 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24575,"question":"La moyenne d'une série de 5 notes est 12. Si on ajoute une note de 14, quelle est la nouvelle moyenne ?","option_a":"12","option_b":"12,5","option_c":"13","option_d":"12,8","option_e":"","option_f":"","bonne_reponse":"B","explication":"La somme des 5 notes est 60. En ajoutant 14, la somme devient 74. La nouvelle moyenne est 74\/6 ≈ 12,5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24576,"question":"La fonction f(x) = x² - 4x + 4 est-elle toujours positive ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Cette fonction est un carré parfait : f(x) = (x-2)² ≥ 0 pour tout x réel.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24577,"question":"Quel est le résultat de l'expression (3x² - 2x + 1) - (x² + 4x - 3) ?","option_a":"2x² - 6x + 4","option_b":"2x² + 2x - 2","option_c":"4x² - 6x + 4","option_d":"2x² - 6x - 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant, on obtient 3x² - 2x + 1 - x² - 4x + 3 = 2x² - 6x + 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]