Quiz Maths Seconde : Testez vos connaissances en algèbre et géométrie

Question 1 sur 10 10:00

[{"id":71282,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 15","option_d":"x = 5\/3","option_e":"","option_f":"","bonne_reponse":"C","explication":"3x - 5 = 10 → 3x = 15 → x = 5. L'équation se résout en isolant x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71283,"question":"La fonction f(x) = 2x + 3 est-elle une fonction 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. 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":71284,"question":"Quel est le coefficient directeur de la droite passant par les points A(1, 2) et B(3, 6) ?","option_a":"1","option_b":"2","option_c":"3","option_d":"4","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le coefficient directeur se calcule par (yB - yA)\/(xB - xA) = (6-2)\/(3-1) = 4\/2 = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71285,"question":"L'inéquation 2x + 1 \u003E 5 a pour solution x \u003E 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 1 \u003E 5 → 2x \u003E 4 → x \u003E 2. La solution est correcte.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71286,"question":"Quelle est l'image de -3 par la fonction f(x) = x² - 4x + 1 ?","option_a":"f(-3) = 22","option_b":"f(-3) = 10","option_c":"f(-3) = -2","option_d":"f(-3) = 16","option_e":"","option_f":"","bonne_reponse":"A","explication":"f(-3) = (-3)² - 4*(-3) + 1 = 9 + 12 + 1 = 22.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71287,"question":"Le triangle ABC avec AB = 5 cm, BC = 12 cm et AC = 13 cm est-il rectangle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"5² + 12² = 25 + 144 = 169 = 13². D'après le théorème de Pythagore, le triangle est rectangle en B.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71288,"question":"Quelle est la solution de l'inéquation -2x + 7 ≤ 3 ?","option_a":"x ≥ 2","option_b":"x ≤ 2","option_c":"x ≥ -2","option_d":"x ≤ -2","option_e":"","option_f":"","bonne_reponse":"B","explication":"-2x + 7 ≤ 3 → -2x ≤ -4 → x ≥ 2 (en divisant par un nombre négatif, l'inégalité change de sens).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71289,"question":"La droite d'équation y = -x + 4 passe-t-elle par le point C(2, 2) ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour x = 2, y = -2 + 4 = 2. Le point C(2, 2) appartient bien à la droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71290,"question":"Quel est le résultat de (3x + 2)(x - 5) ?","option_a":"3x² - 13x - 10","option_b":"3x² - 17x - 10","option_c":"3x² - 13x + 10","option_d":"3x² + 17x - 10","option_e":"","option_f":"","bonne_reponse":"A","explication":"Développement : 3x*x + 3x*(-5) + 2*x + 2*(-5) = 3x² - 15x + 2x - 10 = 3x² - 13x - 10.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71291,"question":"La médiatrice d'un segment est toujours perpendiculaire à ce segment.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Par définition, la médiatrice d'un segment est la droite perpendiculaire à ce segment passant par son milieu.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]