Quiz Maths Seconde : Algèbre, Géométrie et Fonctions

Question 1 sur 10 10:00

[{"id":50091,"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 = 15","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 10, on ajoute 5 à chaque membre (3x = 15), puis on divise par 3 (x = 5).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":50092,"question":"L'inéquation 2x + 3 \u003E 7 a pour solution :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La solution est x \u003E 2. En effet, 2x + 3 \u003E 7 ⇒ 2x \u003E 4 ⇒ x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":50093,"question":"Quelle est l'équation de la droite passant par les points A(1; 2) et B(3; 6) ?","option_a":"y = 2x","option_b":"y = 2x + 1","option_c":"y = x + 1","option_d":"y = 3x - 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le coefficient directeur est (6-2)\/(3-1) = 2. L'équation est y = 2x (car la droite passe par l'origine).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":50094,"question":"La fonction f(x) = x² - 4x + 3 est une fonction :","option_a":"Affine","option_b":"Quadratique","option_c":"Linéraire","option_d":"Constante","option_e":"","option_f":"","bonne_reponse":"B","explication":"Une fonction quadratique est de la forme ax² + bx + c. Ici, a = 1, b = -4, c = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":50095,"question":"Le point M(2; -1) appartient-il à la droite d'équation y = -2x + 3 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Pour x = 2, y = -2*2 + 3 = -1. Le point M(2; -1) appartient donc à la droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":50096,"question":"Quelle est la forme factorisée de x² - 9 ?","option_a":"(x - 3)(x + 3)","option_b":"(x - 9)(x + 1)","option_c":"(x - 3)²","option_d":"(x + 3)²","option_e":"","option_f":"","bonne_reponse":"A","explication":"x² - 9 est une différence de carrés : (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":50097,"question":"La fonction f(x) = 3x + 2 est :","option_a":"Croissante","option_b":"Décroissante","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le coefficient directeur est 3 \u003E 0, donc la fonction est croissante sur ℝ.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":50098,"question":"Quelle est la solution de l'inéquation x² - 5x + 6 ≤ 0 ?","option_a":"x ∈ [2; 3]","option_b":"x ∈ ]-∞; 2] ∪ [3; +∞[","option_c":"x ∈ [0; 5]","option_d":"x ∈ [1; 6]","option_e":"","option_f":"","bonne_reponse":"A","explication":"Les racines sont x = 2 et x = 3. Le trinôme est négatif entre les racines : x ∈ [2; 3].","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":50099,"question":"L'équation 4x² - 12x + 9 = 0 admet :","option_a":"Deux solutions distinctes","option_b":"Une solution double","option_c":"Aucune solution","option_d":"Trois solutions","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le discriminant est Δ = (-12)² - 4*4*9 = 0. L'équation admet une solution double : x = 3\/2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":50100,"question":"La droite d'équation y = -x + 1 est parallèle à la droite d'équation y = -x - 4.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Deux droites sont parallèles si elles ont le même coefficient directeur. Ici, les deux droites ont un coefficient directeur de -1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]