Quiz Maths Seconde : Équations, Fonctions et Géométrie

Question 1 sur 10 10:00

[{"id":18028,"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 = 0 ou x = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"On factorise l'équation : (x-2)(x-3) = 0. Les solutions sont donc x = 2 et x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18029,"question":"La fonction f(x) = 3x + 2 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 = 3 et b = 2, donc c'est bien une fonction affine.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18030,"question":"Quel théorème permet de démontrer que deux droites sont parallèles dans un triangle ?","option_a":"Théorème de Pythagore","option_b":"Théorème de Thalès","option_c":"Théorème de l'angle au centre","option_d":"Théorème des milieux","option_e":"","option_f":"","bonne_reponse":"D","explication":"Le théorème des milieux stipule que si une droite passe par les milieux de deux côtés d'un triangle, alors elle est parallèle au troisième côté.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18031,"question":"Si sin(θ) = 0.5, quelle est la valeur de θ (en degrés) dans l'intervalle [0° ; 90°] ?","option_a":"30°","option_b":"45°","option_c":"60°","option_d":"90°","option_e":"","option_f":"","bonne_reponse":"A","explication":"sin(30°) = 0.5, donc θ = 30° dans l'intervalle donné.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18032,"question":"L'équation 2x + 3 = 5x - 1 a pour solution x = 4\/3.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"En résolvant l'équation, on obtient 2x - 5x = -1 - 3 → -3x = -4 → x = 4\/3. L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18033,"question":"Quelle est l'image de -2 par la fonction f(x) = x² - 4x + 1 ?","option_a":"13","option_b":"5","option_c":"9","option_d":"-3","option_e":"","option_f":"","bonne_reponse":"A","explication":"f(-2) = (-2)² - 4*(-2) + 1 = 4 + 8 + 1 = 13.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18034,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","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 pour tout triangle rectangle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18035,"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":18036,"question":"La droite d'équation y = -2x + 5 est-elle décroissante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le coefficient directeur est -2 (négatif), donc la droite est décroissante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18037,"question":"Quel est le résultat de √(16) + √(9) ?","option_a":"7","option_b":"5","option_c":"12","option_d":"25","option_e":"","option_f":"","bonne_reponse":"A","explication":"√(16) = 4 et √(9) = 3, donc 4 + 3 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]