Quiz Mathématiques : Équations, Fonctions et Géométrie — 2ème Année Secondaire

Question 1 sur 10 10:00

[{"id":74242,"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":"Résolvez l'équation en isolant x : 3x = 10 + 5 → 3x = 15 → x = 15\/3 = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74243,"question":"Le théorème de Pythagore s'applique uniquement aux triangles rectangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Pythagore est valable uniquement pour les triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74244,"question":"Quelle est la représentation graphique d'une fonction affine ?","option_a":"Une droite","option_b":"Une parabole","option_c":"Un cercle","option_d":"Une hyperbole","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine f(x) = ax + b a pour représentation graphique une droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74245,"question":"Si a\/b = c\/d, alors ad = bc. Cette propriété est-elle vraie ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est la propriété des produits en croix : si a\/b = c\/d, alors ad = bc.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74246,"question":"Résolvez l'inéquation : 2x + 3 \u003E 7.","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E 5","option_d":"x \u003C 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 3 \u003E 7 → 2x \u003E 4 → x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74247,"question":"La somme des angles d'un triangle est toujours égale à 180°.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une propriété fondamentale de la géométrie plane.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74248,"question":"Quelle est la dérivée de la fonction f(x) = 3x² + 2x - 1 ?","option_a":"f'(x) = 6x + 2","option_b":"f'(x) = 3x + 2","option_c":"f'(x) = 6x² + 2","option_d":"f'(x) = 3x² + 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de 3x² est 6x, celle de 2x est 2, et celle de -1 est 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74249,"question":"Un parallélogramme a ses diagonales qui se coupent en leur milieu.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une propriété caractéristique des parallélogrammes.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74250,"question":"Quelle est la solution du système : { x + y = 5 ; x - y = 1 } ?","option_a":"x = 3, y = 2","option_b":"x = 2, y = 3","option_c":"x = 4, y = 1","option_d":"x = 1, y = 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"En additionnant les deux équations : 2x = 6 → x = 3, puis y = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":74251,"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.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]