Quiz Mathématiques : 3ème année secondaire — Exercices et Raisonnement

Question 1 sur 10 10:00

[{"id":9323,"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 = 15","option_e":"","option_f":"","bonne_reponse":"A","explication":"Résolvez l'équation : 3x - 5 = 10 → 3x = 15 → x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9324,"question":"La fonction f(x) = x² - 4x + 3 est toujours positive.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction est positive uniquement pour x ≤ 1 ou x ≥ 3, pas pour tout x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9325,"question":"Quel est le résultat de (2 + 3)² - (2 × 3) ?","option_a":"25 - 6 = 19","option_b":"5² - 6 = 19","option_c":"25 - 5 = 20","option_d":"25 - 6 = 25","option_e":"","option_f":"","bonne_reponse":"A","explication":"(2 + 3)² = 25 et 2 × 3 = 6, donc 25 - 6 = 19.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9326,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est le théorème de Pythagore, une propriété fondamentale des triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9327,"question":"Quelle est la dérivée de f(x) = 4x³ - 2x² + x - 7 ?","option_a":"f'(x) = 12x² - 4x + 1","option_b":"f'(x) = 12x² - 4x","option_c":"f'(x) = 4x² - 2x + 1","option_d":"f'(x) = 12x² - 4x + 7","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de 4x³ est 12x², de -2x² est -4x, de x est 1, et la constante -7 disparaît.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9328,"question":"Un polygone régulier a tous ses angles égaux.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Un polygone régulier a tous ses côtés et tous ses angles égaux.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9329,"question":"Résolvez l'inéquation : 2x + 3 \u003E 7.","option_a":"x \u003E 2","option_b":"x \u003E 5","option_c":"x \u003C 2","option_d":"x \u003C 5","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":9330,"question":"La médiane d'un triangle est toujours perpendiculaire à la base.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Seule la médiatrice est perpendiculaire à la base, pas nécessairement la médiane.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9331,"question":"Quel est le résultat de √(16) + √(9) ?","option_a":"4 + 3 = 7","option_b":"√25 = 5","option_c":"4 + 9 = 13","option_d":"√7 = 2.65","option_e":"","option_f":"","bonne_reponse":"A","explication":"√16 = 4 et √9 = 3, donc 4 + 3 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9332,"question":"La somme des angles d'un triangle est toujours égale à 180°.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une propriété fondamentale de la géométrie plane.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]