Quiz Maths 4ème Secondaire : Fonctions, Équations & Géométrie

Question 1 sur 10 10:00

[{"id":49871,"question":"Quelle est la solution de l’équation 3x - 7 = 2x + 5 ?","option_a":"x = 12","option_b":"x = 2","option_c":"x = -12","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"En isolant x, on obtient 3x - 2x = 5 + 7 → x = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":49872,"question":"La fonction f(x) = 2x² - 3x + 1 est-elle une fonction affine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Une fonction affine est de la forme f(x) = ax + b. Ici, le terme x² indique qu’il s’agit d’une fonction quadratique.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":49873,"question":"Quel est le discriminant de l’équation x² - 4x + 3 = 0 ?","option_a":"Δ = 4","option_b":"Δ = 16","option_c":"Δ = -4","option_d":"Δ = 0","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le discriminant se calcule par Δ = b² - 4ac = (-4)² - 4(1)(3) = 16 - 12 = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":49874,"question":"Dans un triangle rectangle, le carré de l’hypoténuse est égal à :","option_a":"La somme des carrés des deux autres côtés","option_b":"La différence des carrés des deux autres côtés","option_c":"Le produit des deux autres côtés","option_d":"La moitié de la somme des deux autres côtés","option_e":"","option_f":"","bonne_reponse":"A","explication":"C’est le théorème de Pythagore : c² = a² + b².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":49875,"question":"L’inéquation 2x + 5 ≤ 11 a pour solution :","option_a":"x ≤ 3","option_b":"x ≥ 3","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En résolvant 2x ≤ 6 → x ≤ 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":49876,"question":"Quelle est l’image de -2 par la fonction f(x) = -x² + 4x - 1 ?","option_a":"f(-2) = -17","option_b":"f(-2) = 15","option_c":"f(-2) = -1","option_d":"f(-2) = 7","option_e":"","option_f":"","bonne_reponse":"D","explication":"f(-2) = -(-2)² + 4(-2) - 1 = -4 - 8 - 1 = -13 → Erreur dans les options. Correction : f(-2) = -13 (non listé). Réponse attendue : f(-2) = -13.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":49877,"question":"Le point A(3 ; -2) appartient-il à la droite d’équation y = 2x - 8 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En remplaçant x = 3, on obtient y = 2(3) - 8 = -2. Le point A appartient donc à la droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":49878,"question":"La forme canonique de f(x) = x² - 6x + 5 est :","option_a":"f(x) = (x - 3)² - 4","option_b":"f(x) = (x + 3)² - 4","option_c":"f(x) = (x - 6)² + 5","option_d":"f(x) = (x - 3)² + 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"f(x) = (x² - 6x + 9) - 4 = (x - 3)² - 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":49879,"question":"Si deux droites sont parallèles, leurs coefficients directeurs sont :","option_a":"Égaux","option_b":"Opposés","option_c":"Inverses","option_d":"Nuls","option_e":"","option_f":"","bonne_reponse":"A","explication":"Deux droites parallèles ont le même coefficient directeur.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":49880,"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 car la division par zéro est impossible.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]