Quiz Maths Seconde : Équations, Fonctions et Géométrie

Question 1 sur 10 10:00

[{"id":75962,"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 = 15","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 5 = 10 ⇒ 3x = 15 ⇒ x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":75963,"question":"La fonction f(x) = 2x + 3 est-elle affine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine s'écrit f(x) = ax + b, ce qui est le cas ici.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":75964,"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 = (x - 3)(x + 3) est une différence de carrés.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":75965,"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":"Il ne s'applique qu'aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":75966,"question":"Quelle est la solution de l'inéquation 2x + 1 \u003E 5 ?","option_a":"x \u003E 2","option_b":"x \u003E 3","option_c":"x \u003C 2","option_d":"x \u003C 3","option_e":"","option_f":"","bonne_reponse":"B","explication":"2x + 1 \u003E 5 ⇒ 2x \u003E 4 ⇒ x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":75967,"question":"La fonction f(x) = x² est-elle croissante sur ℝ ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Elle est décroissante sur ]-∞, 0] et croissante sur [0, +∞[.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":75968,"question":"Quelle est la valeur de sin(30°) ?","option_a":"0","option_b":"1\/2","option_c":"√2\/2","option_d":"1","option_e":"","option_f":"","bonne_reponse":"B","explication":"sin(30°) = 1\/2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":75969,"question":"L'équation x² + 4 = 0 a-t-elle des solutions réelles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"x² = -4 n'a pas de solution réelle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":75970,"question":"Quelle est l'image de 2 par la fonction f(x) = 3x - 1 ?","option_a":"5","option_b":"4","option_c":"6","option_d":"7","option_e":"","option_f":"","bonne_reponse":"B","explication":"f(2) = 3*2 - 1 = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":75971,"question":"La droite d'équation y = -2x + 1 a-t-elle un coefficient directeur positif ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le coefficient directeur est -2, donc négatif.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]