Quiz interactif : Maîtrisez les bases de la Terminale Maths

Question 1 sur 5 10:00

[{"id":1630,"question":"Quelle est la dérivée de la fonction f(x) = 3x² + 2x - 5 ?","option_a":"f'(x) = 6x + 2","option_b":"f'(x) = 3x + 2","option_c":"f'(x) = 6x² + 2x","option_d":"f'(x) = 3x² + 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée d'une fonction polynôme s'obtient en appliquant la règle de dérivation : (ax^n)' = n·a·x^(n-1). Ici, f'(x) = 6x + 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":1631,"question":"Quel est le terme général d'une suite géométrique de premier terme u₀ = 2 et de raison q = 3 ?","option_a":"uₙ = 2·3ⁿ","option_b":"uₙ = 3·2ⁿ","option_c":"uₙ = 2 + 3n","option_d":"uₙ = 3 + 2n","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour une suite géométrique, uₙ = u₀·qⁿ. Ici, uₙ = 2·3ⁿ.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":1632,"question":"Quelle est la probabilité d'obtenir un nombre pair en lançant un dé équilibré à 6 faces ?","option_a":"1\/2","option_b":"1\/3","option_c":"1\/6","option_d":"2\/3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Il y a 3 nombres pairs (2, 4, 6) sur 6 faces possibles. La probabilité est donc 3\/6 = 1\/2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":1633,"question":"Quelle est la limite de la fonction f(x) = (2x² + 3x - 1)\/(x² - 5) lorsque x tend vers +∞ ?","option_a":"2","option_b":"1","option_c":"0","option_d":"+∞","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour les limites à l'infini des fonctions rationnelles, on compare les degrés des polynômes. Ici, la limite est le rapport des coefficients dominants : 2\/1 = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":1634,"question":"Quelle est la solution de l'inéquation 3x - 7 ≤ 2x + 5 ?","option_a":"x ≤ 12","option_b":"x ≥ 12","option_c":"x ≤ -12","option_d":"x ≥ -12","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}]