Quiz de révision : Mathématiques 4ème année secondaire

Question 1 sur 10 10:00

[{"id":29688,"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 = 0","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 7, on ajoute 5 des deux côtés : 3x = 12, puis on divise par 3 : x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29689,"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 est un polynôme du second degré avec un discriminant positif (Δ = 4), elle admet donc deux racines et n’est pas toujours positive.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29690,"question":"Quelle est la dérivée de la fonction f(x) = 2x³ - 5x² + x - 1 ?","option_a":"f'(x) = 6x² - 10x + 1","option_b":"f'(x) = 6x² - 5x + 1","option_c":"f'(x) = 2x² - 5x + 1","option_d":"f'(x) = 6x - 10x + 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée d’un polynôme s’obtient en multipliant chaque terme par son exposant et en réduisant l’exposant de 1 : f'(x) = 6x² - 10x + 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29691,"question":"Dans un triangle rectangle, le carré de l’hypoténuse est égal à la somme des carrés des deux autres côtés.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C’est le théorème de Pythagore, qui s’applique uniquement aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29692,"question":"Quelle est la solution de l’inéquation 2x + 3 \u003E 7 ?","option_a":"x \u003E 2","option_b":"x \u003E 5","option_c":"x \u003E -2","option_d":"x \u003C 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"On soustrait 3 des deux côtés : 2x \u003E 4, puis on divise par 2 : x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29693,"question":"La fonction f(x) = 1\/x est 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 car la division par zéro est impossible.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29694,"question":"Quel est le coefficient directeur de la droite d’équation y = -3x + 2 ?","option_a":"-3","option_b":"2","option_c":"3","option_d":"-2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Dans l’équation réduite y = mx + p, m représente le coefficient directeur. Ici, m = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29695,"question":"La probabilité d’un événement impossible est égale à 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La probabilité d’un événement impossible est égale à 0, tandis que celle d’un événement certain est 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29696,"question":"Quelle est la solution de l’équation x² - 5x + 6 = 0 ?","option_a":"x = 2 ou x = 3","option_b":"x = -2 ou x = -3","option_c":"x = 1 ou x = 6","option_d":"x = 5 ou x = 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"On factorise : (x - 2)(x - 3) = 0, donc x = 2 ou x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":29697,"question":"La médiane d’un triangle est une droite qui passe par un sommet et le milieu du côté opposé.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C’est la définition d’une médiane dans un triangle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]