Quiz Maths — 3ème secondaire : Testez vos connaissances en algèbre et analyse !

Question 1 sur 10 10:00

[{"id":15668,"question":"Quelle est la solution de l'équation 3x - 5 = 2x + 7 ?","option_a":"x = 12","option_b":"x = -2","option_c":"x = 2","option_d":"x = -12","option_e":"","option_f":"","bonne_reponse":"A","explication":"En isolant x, on obtient 3x - 2x = 7 + 5 → x = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15669,"question":"La fonction f(x) = x² - 4x + 3 admet-elle un minimum ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le coefficient de x² est positif, donc la parabole est tournée vers le haut et admet un minimum en x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15670,"question":"Quel est le développement de (x + 2)(x - 3) ?","option_a":"x² - x - 6","option_b":"x² - 5x - 6","option_c":"x² + x - 6","option_d":"x² - x + 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"En utilisant la formule (a+b)(a-b) = a² - b², on obtient x² - x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15671,"question":"L'inéquation 2x + 1 \u003E 5 a pour solution x \u003E 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"En résolvant 2x \u003E 4 → x \u003E 2, donc la solution est correcte.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15672,"question":"Quelle est la dérivée de f(x) = 3x³ - 2x² + 5x - 1 ?","option_a":"f'(x) = 9x² - 4x + 5","option_b":"f'(x) = 6x² - 4x + 5","option_c":"f'(x) = 9x² - 4x - 1","option_d":"f'(x) = 3x² - 2x + 5","option_e":"","option_f":"","bonne_reponse":"B","explication":"En appliquant la règle de dérivation, on obtient f'(x) = 9x² - 4x + 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15673,"question":"Le point A(2 ; 5) appartient-il à la droite d'équation y = 2x + 1 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En remplaçant x = 2, on obtient y = 5, donc A appartient à la droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15674,"question":"Quelle est la solution de l'inéquation x² - 5x + 6 ≤ 0 ?","option_a":"x ∈ [2 ; 3]","option_b":"x ∈ [-∞ ; 2] ∪ [3 ; +∞]","option_c":"x ∈ [0 ; 2]","option_d":"x ∈ [-2 ; 3]","option_e":"","option_f":"","bonne_reponse":"A","explication":"Les racines sont x = 2 et x = 3, et la parabole est tournée vers le haut, donc la solution est l'intervalle [2 ; 3].","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15675,"question":"La fonction f(x) = 1\/x est-elle 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 (division par zéro).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15676,"question":"Quel est le résultat de ∫(3x² - 2x + 1)dx ?","option_a":"x³ - x² + x + C","option_b":"x³ - x² + C","option_c":"3x³ - x² + x + C","option_d":"x³ - 2x² + x + C","option_e":"","option_f":"","bonne_reponse":"A","explication":"En intégrant terme à terme, on obtient x³ - x² + x + C.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":15677,"question":"Le triangle ABC avec AB = 5, BC = 12 et AC = 13 est-il rectangle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Vérification : 5² + 12² = 25 + 144 = 169 = 13², donc le triangle est rectangle en B.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]