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[{"id":23298,"question":"Quelle est la solution de l'équation 3x + 5 = 2x + 10 ?","option_a":"x = 5","option_b":"x = -5","option_c":"x = 15","option_d":"x = -15","option_e":"","option_f":"","bonne_reponse":"A","explication":"On soustrait 2x des deux côtés : x + 5 = 10, puis on soustrait 5 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23299,"question":"La fonction f(x) = x² - 4x + 3 est-elle toujours positive ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le discriminant Δ = 16 - 12 = 4 \u003E 0, donc la fonction s'annule en deux points et change de signe.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23300,"question":"Quel est le coefficient directeur de la droite d'équation y = -2x + 7 ?","option_a":"-2","option_b":"2","option_c":"7","option_d":"-7","option_e":"","option_f":"","bonne_reponse":"A","explication":"Dans une équation de droite y = mx + p, m est le coefficient directeur.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23301,"question":"La moyenne d'une série statistique est-elle 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 série est symétrique.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23302,"question":"Quelle est l'image de 3 par la fonction f(x) = 2x² - x + 1 ?","option_a":"16","option_b":"18","option_c":"14","option_d":"12","option_e":"","option_f":"","bonne_reponse":"C","explication":"On remplace x par 3 : f(3) = 2*9 - 3 + 1 = 18 - 3 + 1 = 16.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23303,"question":"Les vecteurs u(2; -3) et v(-4; 6) sont-ils colinéaires ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"On vérifie si les coordonnées sont proportionnelles : -4\/2 = -2 et 6\/-3 = -2, donc ils sont colinéaires.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23304,"question":"Quel est le résultat de l'inéquation 5 - 2x \u003E 1 ?","option_a":"x \u003C 2","option_b":"x \u003E 2","option_c":"x ≤ 2","option_d":"x ≥ 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"On soustrait 5 : -2x \u003E -4, puis on divise par -2 (inversion du sens) : x \u003C 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23305,"question":"La fonction sinus est-elle périodique de période π ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La période de la fonction sinus est 2π, car sin(x + 2π) = sin(x).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23306,"question":"Quelle est la probabilité d'obtenir un 6 en lançant un dé équilibré ?","option_a":"1\/6","option_b":"1\/3","option_c":"1\/2","option_d":"2\/3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Un dé a 6 faces, donc la probabilité est 1\/6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23307,"question":"L'équation x² + 4 = 0 a-t-elle des solutions réelles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le discriminant Δ = 0 - 16 = -16 \u003C 0, donc aucune solution réelle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]