Maths 3ème secondaire : Testez vos connaissances en série !

Question 1 sur 10 10:00

[{"id":25348,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 12","option_c":"x = -4","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 5 = 7 → 3x = 12 → x = 4. Cette équation linéaire se résout en isolant x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25349,"question":"La fonction f(x) = x² - 4x + 3 est toujours positive.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction a un minimum en x=2 (f(2)=-1), donc elle n'est pas toujours positive.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25350,"question":"Quel est le résultat de (x² - 9)\/(x - 3) pour x ≠ 3 ?","option_a":"x + 3","option_b":"x - 3","option_c":"x² + 9","option_d":"x² - 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Factorisation : (x² - 9) = (x - 3)(x + 3). Pour x ≠ 3, on simplifie par (x - 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25351,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés. Cette propriété s'appelle :","option_a":"Théorème de Thalès","option_b":"Théorème de Pythagore","option_c":"Théorème de l'angle inscrit","option_d":"Théorème de Gauss","option_e":"","option_f":"","bonne_reponse":"B","explication":"C'est l'énoncé du théorème de Pythagore, fondamental en géométrie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25352,"question":"La dérivée de f(x) = 5x³ - 2x² + x est f'(x) = 15x² - 4x + 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Calcul correct : f'(x) = 15x² - 4x + 1 (dérivée terme à terme).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25353,"question":"Quelle est la probabilité d'obtenir un nombre pair en lançant un dé équilibré ?","option_a":"1\/6","option_b":"1\/3","option_c":"1\/2","option_d":"2\/3","option_e":"","option_f":"","bonne_reponse":"C","explication":"Les nombres pairs sont 2, 4, 6 → 3 cas favorables sur 6 possibles → 3\/6 = 1\/2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25354,"question":"L'équation x² + 2x + 5 = 0 admet deux solutions réelles distinctes.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Discriminant Δ = 4 - 20 = -16 \u003C 0 → pas de solution réelle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25355,"question":"Quel est le coefficient directeur de la droite d'équation y = -3x + 7 ?","option_a":"-7","option_b":"7","option_c":"-3","option_d":"3","option_e":"","option_f":"","bonne_reponse":"C","explication":"Dans y = ax + b, a est le coefficient directeur → ici a = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25356,"question":"La somme des angles d'un triangle est toujours égale à 180°.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une propriété fondamentale de la géométrie euclidienne.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25357,"question":"Résoudre l'inéquation 2x + 5 ≥ 3x - 1.","option_a":"x ≤ 6","option_b":"x ≥ 6","option_c":"x ≤ -6","option_d":"x ≥ -6","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 5 ≥ 3x - 1 → -x ≥ -6 → x ≤ 6 (en multipliant par -1, on inverse le sens de l'inégalité).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]