Quiz Maths Seconde : Algèbre, Géométrie et Fonctions

Question 1 sur 10 10:00

[{"id":70922,"question":"Quelle est la solution de l'équation 3x - 7 = 2x + 5 ?","option_a":"x = 12","option_b":"x = 2","option_c":"x = -2","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"En isolant x, on obtient 3x - 2x = 5 + 7, soit x = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70923,"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":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70924,"question":"Quelle est la représentation graphique d'une fonction affine ?","option_a":"Une droite","option_b":"Une parabole","option_c":"Un cercle","option_d":"Une hyperbole","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine a pour représentation graphique une droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70925,"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°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70926,"question":"La formule de l'aire d'un triangle est-elle A = (base × hauteur) \/ 2 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Cette formule est correcte pour calculer l'aire d'un triangle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70927,"question":"Quelle est la forme canonique de la fonction f(x) = x² - 4x + 3 ?","option_a":"f(x) = (x - 2)² - 1","option_b":"f(x) = (x + 2)² - 1","option_c":"f(x) = (x - 1)² - 4","option_d":"f(x) = (x - 2)² + 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"En complétant le carré, on obtient f(x) = (x - 2)² - 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70928,"question":"Dans un triangle rectangle, si l'hypoténuse mesure 10 cm et un côté mesure 6 cm, quelle est la longueur du troisième côté ?","option_a":"8 cm","option_b":"7 cm","option_c":"9 cm","option_d":"10 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"D'après le théorème de Pythagore, le troisième côté mesure √(10² - 6²) = 8 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70929,"question":"La fonction f(x) = x² est-elle paire ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction est paire si f(-x) = f(x). Ici, f(-x) = (-x)² = x² = f(x).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70930,"question":"Quelle est la solution de l'inéquation 2x + 3 \u003E 7 ?","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E -2","option_d":"x \u003C -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En isolant x, on obtient 2x \u003E 4, soit x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70931,"question":"Le cosinus d'un angle aigu est-il toujours compris entre 0 et 1 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Oui, car cos(θ) = adjacent\/hypoténuse, et ces longueurs sont positives et l'hypoténuse est la plus grande.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]