Quiz Mathématiques : 4ème année secondaire — Série PB40-40-FM

Question 1 sur 10 10:00

[{"id":65332,"question":"Quelle est la solution de l'équation 3x - 5 = 2x + 7 ?","option_a":"x = 12","option_b":"x = 2","option_c":"x = -2","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"En isolant x, on obtient 3x - 2x = 7 + 5 → x = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65333,"question":"La dérivée de la fonction f(x) = x² + 3x est f'(x) = 2x + 3.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de x² est 2x et celle de 3x est 3, donc f'(x) = 2x + 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65334,"question":"Quel est le résultat de ∫(2x + 1) dx ?","option_a":"x² + x + C","option_b":"x² + C","option_c":"2x² + x + C","option_d":"x² + 2x + C","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'intégrale de 2x est x² et celle de 1 est x, donc le résultat est x² + x + C.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65335,"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 : a² + b² = c².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65336,"question":"Quelle est la solution de l'inéquation 2x - 3 \u003E 5 ?","option_a":"x \u003E 4","option_b":"x \u003E 1","option_c":"x \u003C 4","option_d":"x \u003C 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"En isolant x, on obtient 2x \u003E 8 → x \u003E 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65337,"question":"La fonction f(x) = 1\/x est définie pour x = 0.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction 1\/x n'est pas définie en x = 0 car la division par zéro est impossible.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65338,"question":"Quel est le développement de (x + 2)² ?","option_a":"x² + 4x + 4","option_b":"x² + 2x + 4","option_c":"x² + 4x + 2","option_d":"x² + 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"(x + 2)² = x² + 4x + 4 (identité remarquable).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65339,"question":"La probabilité d'un événement impossible est égale à 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La probabilité d'un événement impossible est 0, celle d'un événement certain est 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65340,"question":"Quelle est la limite de f(x) = (x² - 4)\/(x - 2) lorsque x tend vers 2 ?","option_a":"0","option_b":"2","option_c":"4","option_d":"Indéterminée","option_e":"","option_f":"","bonne_reponse":"C","explication":"En factorisant, (x² - 4)\/(x - 2) = (x - 2)(x + 2)\/(x - 2) = x + 2 → limite = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":65341,"question":"Le vecteur u(3; -2) et le vecteur v(-3; 2) sont colinéaires.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"v = -u, donc les vecteurs sont colinéaires (multiplication par un scalaire).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]