Quiz Mathématiques — 2ème Année Secondaire : Exercices et Concepts Clés

Question 1 sur 10 10:00

[{"id":34793,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 5\/3","option_d":"x = -5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 10, on ajoute 5 des deux côtés : 3x = 15, puis on divise par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":34794,"question":"La fonction f(x) = 2x + 3 est une fonction affine.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine s'écrit sous la forme f(x) = ax + b, ce qui est le cas ici avec a=2 et b=3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":34795,"question":"Quel est le discriminant de l'équation x² - 4x + 4 = 0 ?","option_a":"Δ = 0","option_b":"Δ = 4","option_c":"Δ = 16","option_d":"Δ = -4","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le discriminant Δ = b² - 4ac = (-4)² - 4(1)(4) = 16 - 16 = 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":34796,"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 l'énoncé du théorème de Pythagore, valable uniquement pour les triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":34797,"question":"Quelle est la solution du système : { 2x + y = 5 ; x - y = 1 } ?","option_a":"x = 2, y = 1","option_b":"x = 1, y = 3","option_c":"x = 3, y = -1","option_d":"x = 0, y = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"En résolvant le système, on trouve x=2 et y=1. Vérification : 2(2)+1=5 et 2-1=1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":34798,"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 exacte d'une médiane dans un triangle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":34799,"question":"Quel est le développement de (x + 2)(x - 3) ?","option_a":"x² - x - 6","option_b":"x² + x - 6","option_c":"x² - 5x - 6","option_d":"x² - x + 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant : x*x + x*(-3) + 2*x + 2*(-3) = x² - 3x + 2x - 6 = x² - x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":34800,"question":"Dans une série statistique, la moyenne 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 égales uniquement si la distribution est symétrique. Sinon, elles diffèrent.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":34801,"question":"Quelle est la valeur de x dans l'inéquation 2x - 7 \u003E 3 ?","option_a":"x \u003E 5","option_b":"x \u003C 5","option_c":"x \u003E 2","option_d":"x \u003C 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En résolvant : 2x \u003E 10 → x \u003E 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":34802,"question":"Le cosinus d'un angle aigu dans un triangle rectangle est égal au rapport de l'hypoténuse sur le côté adjacent.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le cosinus est égal au rapport du côté adjacent sur l'hypoténuse, pas l'inverse.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]