Quiz Maths — Équations, Fonctions et Géométrie pour la 1ère Secondaire

Question 1 sur 10 10:00

[{"id":9313,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 2","option_c":"x = 12","option_d":"x = -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 7, on ajoute d'abord 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":9314,"question":"La fonction f(x) = 2x + 3 est-elle 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. Ici, a = 2 et b = 3, donc c'est bien une fonction affine.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9315,"question":"Quel est le discriminant d'un polynôme du second degré ax² + bx + c ?","option_a":"Δ = b² - 4ac","option_b":"Δ = b² + 4ac","option_c":"Δ = 2b - 4ac","option_d":"Δ = a² - 4bc","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le discriminant d'un polynôme du second degré est donné par la formule Δ = b² - 4ac.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9316,"question":"Dans un triangle rectangle, si l'hypoténuse mesure 10 cm et un côté 6 cm, quelle est la longueur du troisième côté ?","option_a":"8 cm","option_b":"4 cm","option_c":"12 cm","option_d":"5 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"En appliquant le théorème de Pythagore : 6² + x² = 10² → 36 + x² = 100 → x² = 64 → x = 8 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9317,"question":"La fonction f(x) = x² est-elle toujours croissante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction f(x) = x² est décroissante pour x \u003C 0 et croissante pour x \u003E 0. Elle n'est donc pas toujours croissante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9318,"question":"Quelle est la solution de l'équation x² - 5x + 6 = 0 ?","option_a":"x = 2 ou x = 3","option_b":"x = 1 ou x = 6","option_c":"x = -2 ou x = -3","option_d":"x = 0 ou x = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"En factorisant : (x - 2)(x - 3) = 0 → x = 2 ou x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9319,"question":"Le théorème de Thalès s'applique-t-il uniquement aux triangles isocèles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Thalès s'applique à tous les triangles, à condition que les droites soient parallèles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9320,"question":"Quelle est l'image de 4 par la fonction f(x) = 3x - 2 ?","option_a":"10","option_b":"14","option_c":"8","option_d":"12","option_e":"","option_f":"","bonne_reponse":"B","explication":"En remplaçant x par 4 : f(4) = 3*4 - 2 = 12 - 2 = 10. L'image de 4 est donc 10.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9321,"question":"Un parallélogramme a des côtés de 5 cm et 8 cm. Quelle est son aire si sa hauteur relative au côté de 5 cm est de 6 cm ?","option_a":"30 cm²","option_b":"40 cm²","option_c":"24 cm²","option_d":"48 cm²","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un parallélogramme est donnée par base × hauteur. Ici, 5 cm × 6 cm = 30 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9322,"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 pour x = 0 car la division par zéro est impossible.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]