Quiz Maths Seconde : Fonctions, Équations et Géométrie

Question 1 sur 10 10:00

[{"id":25098,"question":"Quelle est l'expression 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 s'écrit sous 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":25099,"question":"L'équation 3x - 5 = 0 admet pour solution x = 5\/3.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La solution de 3x - 5 = 0 est x = 5\/3, donc l'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25100,"question":"Quelle propriété géométrique est vérifiée par deux droites parallèles coupées par une sécante ?","option_a":"Les angles correspondants sont égaux","option_b":"Les angles alternes-internes sont complémentaires","option_c":"Les angles opposés par le sommet sont supplémentaires","option_d":"Les angles adjacents sont égaux","option_e":"","option_f":"","bonne_reponse":"A","explication":"Deux droites parallèles coupées par une sécante forment des angles correspondants égaux.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25101,"question":"La fonction f(x) = 2x + 3 est-elle croissante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le coefficient directeur a = 2 est positif, donc la fonction est croissante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25102,"question":"Quelle est la solution de l'inéquation 2x - 7 ≤ 3 ?","option_a":"x ≤ 5","option_b":"x ≥ 5","option_c":"x ≤ -2","option_d":"x ≥ -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x - 7 ≤ 3 ⇒ 2x ≤ 10 ⇒ x ≤ 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25103,"question":"Le théorème de Pythagore s'applique-t-il à tous les triangles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25104,"question":"Quelle est l'image de 4 par la fonction f(x) = -3x + 10 ?","option_a":"-2","option_b":"22","option_c":"10","option_d":"-12","option_e":"","option_f":"","bonne_reponse":"A","explication":"f(4) = -3(4) + 10 = -12 + 10 = -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25105,"question":"Deux angles supplémentaires ont une somme égale à 180°.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Par définition, deux angles supplémentaires ont une somme de 180°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25106,"question":"Quelle est la forme factorisée de x² - 9 ?","option_a":"(x - 3)(x + 3)","option_b":"(x - 9)(x + 1)","option_c":"(x - 3)²","option_d":"(x + 3)²","option_e":"","option_f":"","bonne_reponse":"A","explication":"x² - 9 est une différence de carrés : (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25107,"question":"La droite d'équation y = -2x + 5 passe-t-elle par le point (1, 3) ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour x = 1, y = -2(1) + 5 = 3. Le point (1, 3) appartient donc à la droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]