Quiz — Devoir Synthèse N1 (Math).pdf

Question 1 sur 5 10:00

[{"id":143,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 12\/3","option_c":"x = 2","option_d":"x = 4\/3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 7, on ajoute d'abord 5 aux deux côtés : 3x = 12. Puis on divise par 3 : x = 4. Cette méthode s'applique à toute équation du premier degré.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":144,"question":"Quelle est la nature de la fonction f(x) = 2x² - 3x + 1 ?","option_a":"Affine","option_b":"Linéaire","option_c":"Du second degré","option_d":"Constante","option_e":"","option_f":"","bonne_reponse":"C","explication":"La fonction f(x) = 2x² - 3x + 1 est une fonction polynôme du second degré car le terme x² est présent avec un coefficient non nul (2).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":145,"question":"Dans un triangle ABC, si AB = 5 cm, BC = 7 cm et AC = 8 cm, quelle est la mesure de l'angle B ?","option_a":"30°","option_b":"45°","option_c":"60°","option_d":"90°","option_e":"","option_f":"","bonne_reponse":"D","explication":"En utilisant la loi des cosinus : AC² = AB² + BC² - 2·AB·BC·cos(B). Ici, 64 = 25 + 49 - 70·cos(B) → cos(B) = 0 → B = 90°. Ce triangle est donc rectangle en B.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":146,"question":"Quelle est la probabilité de tirer un as dans un jeu de 52 cartes ?","option_a":"1\/13","option_b":"1\/4","option_c":"1\/52","option_d":"4\/52","option_e":"","option_f":"","bonne_reponse":"A","explication":"Un jeu de 52 cartes contient 4 as. La probabilité est donc 4\/52, soit 1\/13 après simplification.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":147,"question":"Quelle est la dérivée de la fonction f(x) = 4x³ - 2x + 1 ?","option_a":"12x² - 2","option_b":"12x² - 2x","option_c":"4x² - 2","option_d":"4x³ - 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de 4x³ est 12x², celle de -2x est -2, et celle de 1 est 0. Ainsi, f'(x) = 12x² - 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]