Maths Seconde : Algèbre, Fonctions et Géométrie — Testez vos connaissances !

Question 1 sur 10 10:00

[{"id":28208,"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":"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":28209,"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 sous la forme f(x) = ax + b, ce qui est le cas ici avec a = 2 et b = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28210,"question":"Quelle est la forme canonique de l'expression x² - 6x + 5 ?","option_a":"(x - 3)² - 4","option_b":"(x + 3)² - 4","option_c":"(x - 3)² + 4","option_d":"(x + 3)² + 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"On complète le carré : x² - 6x + 5 = (x² - 6x + 9) - 9 + 5 = (x - 3)² - 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28211,"question":"L'inéquation 2x + 1 ≤ 7 a pour solution :","option_a":"x ≤ 3","option_b":"x ≥ 3","option_c":"x ≤ 6","option_d":"x ≥ 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"On soustrait 1 : 2x ≤ 6, puis on divise par 2 : x ≤ 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28212,"question":"Le discriminant d'une équation du second degré ax² + bx + c = 0 est donné par :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le discriminant Δ = b² - 4ac permet de déterminer le nombre de solutions de l'équation.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28213,"question":"Quelle est l'image de 2 par la fonction f(x) = x² - 4x + 1 ?","option_a":"-3","option_b":"1","option_c":"-1","option_d":"3","option_e":"","option_f":"","bonne_reponse":"A","explication":"On remplace x par 2 : f(2) = 2² - 4*2 + 1 = 4 - 8 + 1 = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28214,"question":"La droite d'équation y = -2x + 5 a un coefficient directeur égal à :","option_a":"5","option_b":"-2","option_c":"2","option_d":"-5","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le coefficient directeur (ou pente) d'une droite y = ax + b est le nombre a, ici a = -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28215,"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":"On vérifie avec le théorème de Pythagore : 5² + 12² = 25 + 144 = 169 = 13². Le triangle est rectangle en B.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28216,"question":"Quelle est la solution de l'inéquation x² - 5x + 6 \u003E 0 ?","option_a":"x \u003C 2 ou x \u003E 3","option_b":"2 \u003C x \u003C 3","option_c":"x \u003C 3","option_d":"x \u003E 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"On factorise : (x - 2)(x - 3) \u003E 0. Les solutions sont x \u003C 2 ou x \u003E 3 (le polynôme est positif à l'extérieur des racines).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":28217,"question":"La fonction f(x) = 1\/x est-elle définie en x = 0 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction f(x) = 1\/x n'est pas définie en x = 0 car la division par zéro est impossible.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]