Quiz interactif : Maîtrisez les équations et fonctions en maths !

Question 1 sur 10 10:00

[{"id":66892,"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 des deux côtés (3x = 15), puis on divise par 3 (x = 5).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":66893,"question":"Une fonction affine a toujours une représentation graphique en forme de droite.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine s'écrit y = ax + b, ce qui correspond bien à une droite dans un repère.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":66894,"question":"Quel est le coefficient directeur de la fonction f(x) = 2x + 3 ?","option_a":"2","option_b":"3","option_c":"2x","option_d":"3x","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le coefficient directeur est le nombre devant x, ici 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":66895,"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":66896,"question":"Résoudre l'équation x² - 4x + 4 = 0.","option_a":"x = 2","option_b":"x = -2","option_c":"x = 4","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'équation x² - 4x + 4 = 0 se factorise en (x - 2)² = 0, donc x = 2 est la solution double.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":66897,"question":"La fonction f(x) = -3x + 1 est-elle décroissante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le coefficient directeur est -3 (négatif), donc la fonction est décroissante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":66898,"question":"Quel est l'ordonnée à l'origine de la fonction f(x) = 5x - 7 ?","option_a":"5","option_b":"-7","option_c":"7","option_d":"0","option_e":"","option_f":"","bonne_reponse":"B","explication":"L'ordonnée à l'origine correspond à f(0) = -7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":66899,"question":"Le théorème de Thalès permet de calculer des longueurs dans des triangles semblables.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Thalès s'applique aux triangles ayant des côtés parallèles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":66900,"question":"Résoudre l'inéquation 2x + 1 \u003E 5.","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E 3","option_d":"x \u003C 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 1 \u003E 5 → 2x \u003E 4 → x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":66901,"question":"La fonction f(x) = x² est-elle paire ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction est paire si f(-x) = f(x). Ici, f(-x) = (-x)² = x² = f(x).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]