Quiz Maths 4ème Secondaire : Algèbre, Analyse & Géométrie

Question 1 sur 10 10:00

[{"id":68162,"question":"Quelle est la solution de l'équation 3x - 5 = 2x + 7 ?","option_a":"x = 12","option_b":"x = 5","option_c":"x = -2","option_d":"x = 7","option_e":"","option_f":"","bonne_reponse":"A","explication":"En isolant x, on obtient 3x - 2x = 7 + 5, soit x = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68163,"question":"La dérivée de la fonction f(x) = x² + 3x - 4 est f'(x) = 2x + 3.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de x² est 2x, celle de 3x est 3, et celle de -4 est 0. Donc f'(x) = 2x + 3 est correcte.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68164,"question":"Quel est le résultat de (x + 2)(x - 3) ?","option_a":"x² - x - 6","option_b":"x² + x - 6","option_c":"x² - 6x - 6","option_d":"x² - x + 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant, on obtient x² - 3x + 2x - 6 = x² - x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68165,"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 une propriété spécifique aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68166,"question":"Quelle est la limite de la fonction f(x) = (2x + 1)\/(x - 3) lorsque x tend vers 3 par la droite ?","option_a":"+∞","option_b":"-∞","option_c":"0","option_d":"2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Lorsque x tend vers 3 par la droite, le dénominateur tend vers 0+, donc la limite est +∞.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68167,"question":"Un vecteur de coordonnées (3, -2) a une norme égale à √13.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La norme se calcule par √(3² + (-2)²) = √(9 + 4) = √13, donc c'est vrai.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68168,"question":"Quelle est la solution de l'inéquation 2x - 5 \u003E 3x + 1 ?","option_a":"x \u003C -6","option_b":"x \u003E -6","option_c":"x \u003C 6","option_d":"x \u003E 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"En isolant x, on obtient 2x - 3x \u003E 1 + 5, soit -x \u003E 6, donc x \u003C -6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68169,"question":"La fonction f(x) = 1\/x est dérivable en x = 0.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction 1\/x n'est pas définie en x = 0, donc elle n'est pas dérivable en ce point.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68170,"question":"Quel est le produit scalaire de deux vecteurs u(2, -1) et v(-3, 4) ?","option_a":"-10","option_b":"10","option_c":"0","option_d":"5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le produit scalaire est calculé par (2)(-3) + (-1)(4) = -6 - 4 = -10.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":68171,"question":"La moyenne d'une série statistique est toujours égale à la médiane.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La moyenne et la médiane sont deux indicateurs différents. Elles sont égales uniquement dans des cas particuliers (distribution symétrique).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]