Quiz interactif : Fonctions et Algèbre — Niveau Seconde

Question 1 sur 10 10:00

[{"id":42846,"question":"Quelle est l'équation d'une fonction affine ?","option_a":"f(x) = ax + b","option_b":"f(x) = ax² + bx + c","option_c":"f(x) = a\/x","option_d":"f(x) = √x","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine est de la forme f(x) = ax + b, où a et b sont des constantes réelles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42847,"question":"La représentation graphique d'une fonction linéaire passe toujours par l'origine.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction linéaire est de la forme f(x) = ax, donc son graphe passe toujours par le point (0,0).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42848,"question":"Résoudre l'équation 3x - 5 = 1 :","option_a":"x = 2","option_b":"x = 1","option_c":"x = -2","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 5 = 1 → 3x = 6 → x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42849,"question":"Quelle est la distance entre les points A(2, 3) et B(5, 7) ?","option_a":"5","option_b":"√25","option_c":"√(3² + 4²)","option_d":"√(5² + 7²)","option_e":"","option_f":"","bonne_reponse":"C","explication":"La distance est calculée par √[(5-2)² + (7-3)²] = √(9 + 16) = √25 = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42850,"question":"La médiane d'une série statistique est toujours égale à la moyenne.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La médiane et la moyenne sont des indicateurs différents : la médiane est la valeur centrale, tandis que la moyenne est la somme des valeurs divisée par leur nombre.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42851,"question":"Quelle est la forme canonique d'une fonction quadratique ?","option_a":"f(x) = ax + b","option_b":"f(x) = a(x - α)² + β","option_c":"f(x) = ax² + bx + c","option_d":"f(x) = a\/x","option_e":"","option_f":"","bonne_reponse":"B","explication":"La forme canonique d'une fonction quadratique est f(x) = a(x - α)² + β, où α et β sont des constantes.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42852,"question":"Si f(x) = 2x + 3, alors f(0) = :","option_a":"0","option_b":"3","option_c":"2","option_d":"5","option_e":"","option_f":"","bonne_reponse":"B","explication":"f(0) = 2*0 + 3 = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42853,"question":"L'équation d'une droite parallèle à l'axe des abscisses est de la forme y = k.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une droite parallèle à l'axe des abscisses a une équation de la forme y = k, où k est une constante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42854,"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":"2x + 1 \u003E 5 → 2x \u003E 4 → x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42855,"question":"La moyenne d'une série de 5 notes : 10, 12, 14, 16, 18 est :","option_a":"14","option_b":"15","option_c":"16","option_d":"17","option_e":"","option_f":"","bonne_reponse":"B","explication":"Moyenne = (10 + 12 + 14 + 16 + 18) \/ 5 = 70 \/ 5 = 14.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]