Quiz Maths : Fonctions, Équations et Probabilités — 3ème Année Secondaire

Question 1 sur 10 10:00

[{"id":19268,"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 = 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 10, on ajoute 5 des deux côtés : 3x = 15, puis on divise par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":19269,"question":"La fonction f(x) = 2x + 3 est une fonction affine.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","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 réels. Ici, a = 2 et b = 3, donc c'est bien une fonction affine.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":19270,"question":"Quelle est l'image de 4 par la fonction f(x) = x² - 2x + 1 ?","option_a":"f(4) = 9","option_b":"f(4) = 16","option_c":"f(4) = 7","option_d":"f(4) = 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"On calcule f(4) = 4² - 2*4 + 1 = 16 - 8 + 1 = 9.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":19271,"question":"Dans une urne contenant 3 boules rouges et 2 boules bleues, quelle est la probabilité de tirer une boule rouge ?","option_a":"3\/5","option_b":"2\/5","option_c":"5\/3","option_d":"1\/5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Il y a 3 boules rouges sur un total de 5 boules. La probabilité est donc 3\/5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":19272,"question":"La suite définie par uₙ = 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, uₙ₊₁ - uₙ = 2, donc c'est bien une suite arithmétique.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":19273,"question":"Quelle est la solution du système d'équations { 2x + y = 5 ; x - y = 1 } ?","option_a":"x = 2, y = 1","option_b":"x = 1, y = 3","option_c":"x = 3, y = -1","option_d":"x = 0, y = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"En résolvant le système, on trouve x = 2 et y = 1. Vérification : 2*2 + 1 = 5 et 2 - 1 = 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":19274,"question":"Quelle est la moyenne d'une série de notes : 10, 12, 14, 16 ?","option_a":"13","option_b":"12","option_c":"14","option_d":"15","option_e":"","option_f":"","bonne_reponse":"A","explication":"La moyenne est calculée par (10 + 12 + 14 + 16) \/ 4 = 52 \/ 4 = 13.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":19275,"question":"La fonction f(x) = x² est une fonction paire.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction est paire si f(-x) = f(x). Ici, f(-x) = (-x)² = x² = f(x), donc c'est une fonction paire.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":19276,"question":"Quelle est la raison d'une suite géométrique où u₁ = 2 et u₃ = 18 ?","option_a":"3","option_b":"9","option_c":"6","option_d":"2","option_e":"","option_f":"","bonne_reponse":"A","explication":"On utilise la formule uₙ = u₁ * r^(n-1). Ici, u₃ = 2 * r² = 18, donc r² = 9 et r = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":19277,"question":"Quelle est la solution de l'inéquation 2x - 7 \u003E 3 ?","option_a":"x \u003E 5","option_b":"x \u003C 5","option_c":"x \u003E -2","option_d":"x \u003C -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"On résout 2x - 7 \u003E 3 en ajoutant 7 des deux côtés : 2x \u003E 10, puis on divise par 2 : x \u003E 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]