Quiz Maths 3ème : Algèbre, Géométrie et Analyse

Question 1 sur 10 10:00

[{"id":23458,"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, donc x = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23459,"question":"Le théorème de Pythagore s'applique uniquement aux triangles rectangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Pythagore est valable uniquement pour les triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23460,"question":"Quelle est la forme canonique de la fonction f(x) = x² - 6x + 11 ?","option_a":"f(x) = (x - 3)² + 2","option_b":"f(x) = (x + 3)² - 2","option_c":"f(x) = (x - 6)² + 11","option_d":"f(x) = (x - 3)² - 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En complétant le carré, on obtient f(x) = (x - 3)² + 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23461,"question":"Dans un triangle ABC, si AB = 5 cm, AC = 12 cm et BC = 13 cm, alors le triangle est 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, donc le triangle est rectangle en A.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23462,"question":"Quelle est la solution de l'inéquation 2x + 3 ≤ 7 ?","option_a":"x ≤ 2","option_b":"x ≥ 2","option_c":"x ≤ -2","option_d":"x ≥ -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En isolant x, on obtient 2x ≤ 4, donc x ≤ 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23463,"question":"La médiane d'un triangle est toujours perpendiculaire à la base.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La médiane relie un sommet au milieu du côté opposé, mais n'est pas nécessairement perpendiculaire.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23464,"question":"Quelle est la dérivée de la fonction f(x) = 4x³ - 2x² + x - 5 ?","option_a":"f'(x) = 12x² - 4x + 1","option_b":"f'(x) = 12x² - 4x","option_c":"f'(x) = 4x² - 2x + 1","option_d":"f'(x) = 12x³ - 4x² + 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"En dérivant terme à terme, on obtient f'(x) = 12x² - 4x + 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23465,"question":"Dans une classe de 30 élèves, 18 sont des filles. Quelle est la probabilité de choisir une fille au hasard ?","option_a":"0,6","option_b":"0,4","option_c":"0,3","option_d":"0,5","option_e":"","option_f":"","bonne_reponse":"A","explication":"La probabilité est le rapport du nombre de filles sur le total : 18\/30 = 0,6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23466,"question":"La fonction f(x) = 1\/x est définie pour 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},{"id":23467,"question":"Quelle est la solution du système d'équations {2x + y = 5 ; x - y = 1} ?","option_a":"x = 2, y = 1","option_b":"x = 1, y = 3","option_c":"x = 3, y = -1","option_d":"x = 0, y = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"En résolvant le système, on trouve x = 2 et y = 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]