Quiz Maths : Maîtrisez les fondamentaux de la 4ème secondaire

Question 1 sur 10 10:00

[{"id":25868,"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":"Résolvons l'équation : 3x - 5 = 7 → 3x = 12 → x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25869,"question":"La fonction f(x) = 2x² + 3x - 5 est une fonction linéaire.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Une fonction linéaire s'écrit sous la forme f(x) = ax + b. Ici, le terme x² indique qu'il s'agit d'une fonction du second degré.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25870,"question":"Quel est le discriminant de l'équation x² - 4x + 3 = 0 ?","option_a":"Δ = 4","option_b":"Δ = -4","option_c":"Δ = 16","option_d":"Δ = 0","option_e":"","option_f":"","bonne_reponse":"C","explication":"Le discriminant Δ = b² - 4ac = (-4)² - 4(1)(3) = 16 - 12 = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25871,"question":"La dérivée de f(x) = x³ est f'(x) = 3x².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de x³ est bien 3x², selon la règle de dérivation des puissances.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25872,"question":"Quelle est la solution de 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":"Résolvons l'inéquation : 2x + 1 \u003E 5 → 2x \u003E 4 → x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25873,"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 f(x) = 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":25874,"question":"Quel est le résultat de ∫(3x²) dx ?","option_a":"x³ + C","option_b":"x³","option_c":"3x³ + C","option_d":"x³\/3 + C","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'intégrale de 3x² est x³ + C, car la primitive de x^n est x^(n+1)\/(n+1).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25875,"question":"La probabilité d'un événement certain est égale à 0.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La probabilité d'un événement certain est égale à 1, et celle d'un événement impossible est 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25876,"question":"Quelle est la valeur de sin(π\/2) ?","option_a":"0","option_b":"1","option_c":"-1","option_d":"1\/2","option_e":"","option_f":"","bonne_reponse":"B","explication":"sin(π\/2) = 1, car π\/2 correspond à un angle de 90° dont le sinus vaut 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25877,"question":"La suite u_n = 2n + 1 est une suite arithmétique.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une suite arithmétique a une différence constante entre deux termes consécutifs. Ici, u_{n+1} - u_n = 2, donc c'est bien une suite arithmétique.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]