Quiz Maths Seconde : Algèbre et Géométrie — Teste tes connaissances !

Question 1 sur 10 10:00

[{"id":77822,"question":"Quelle est la solution de l'équation 3x - 7 = 2x + 5 ?","option_a":"x = 2","option_b":"x = 12","option_c":"x = -12","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"B","explication":"3x - 7 = 2x + 5 → 3x - 2x = 5 + 7 → x = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":77823,"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. 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":77824,"question":"Quel est le développement de (x + 4)(x - 3) ?","option_a":"x² + x - 12","option_b":"x² - x - 12","option_c":"x² + 7x - 12","option_d":"x² - 7x - 12","option_e":"","option_f":"","bonne_reponse":"A","explication":"(x + 4)(x - 3) = x² - 3x + 4x - 12 = x² + x - 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":77825,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés. Vrai ou faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est l'énoncé du théorème de Pythagore, valable uniquement pour les triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":77826,"question":"Résoudre l'inéquation 5 - 2x ≤ 11.","option_a":"x ≥ -3","option_b":"x ≤ -3","option_c":"x ≥ 3","option_d":"x ≤ 3","option_e":"","option_f":"","bonne_reponse":"D","explication":"5 - 2x ≤ 11 → -2x ≤ 6 → x ≥ -3 (en divisant par un nombre négatif, on inverse le sens de l'inégalité).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":77827,"question":"La représentation graphique d'une fonction linéaire passe-t-elle toujours par l'origine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction linéaire s'écrit f(x) = ax. Si x = 0, alors f(0) = 0, donc la courbe passe par le point (0,0).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":77828,"question":"Quel est le milieu du segment [AB] avec A(2; 5) et B(6; 9) ?","option_a":"(4; 7)","option_b":"(8; 14)","option_c":"(2; 4)","option_d":"(4; 4)","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le milieu M a pour coordonnées ((xA + xB)\/2 ; (yA + yB)\/2) = ((2+6)\/2 ; (5+9)\/2) = (4; 7).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":77829,"question":"La factorisation de x² - 9 est (x - 3)(x + 3). Vrai ou faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"x² - 9 est une différence de carrés : (x)² - (3)² = (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":77830,"question":"Quelle est la solution de l'équation x² - 5x + 6 = 0 ?","option_a":"x = 2 ou x = 3","option_b":"x = -2 ou x = -3","option_c":"x = 1 ou x = 6","option_d":"x = 5 ou x = 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"On factorise : (x - 2)(x - 3) = 0 → x = 2 ou x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":77831,"question":"Le théorème de Thalès s'applique-t-il uniquement aux triangles isocèles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Thalès s'applique à tous les triangles, à condition que les droites soient parallèles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]