Quiz Mathématiques : Équations et Géométrie pour la 1ère année

Question 1 sur 10 10:00

[{"id":17888,"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":17889,"question":"Le théorème de Pythagore s'applique-t-il à tous les triangles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":17890,"question":"Quelle est la forme générale d'une fonction affine ?","option_a":"f(x) = ax + b","option_b":"f(x) = ax² + bx + c","option_c":"f(x) = a\/x","option_d":"f(x) = √x","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine s'écrit f(x) = ax + b, où a et b sont des constantes.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":17891,"question":"Si deux droites sont parallèles, leurs coefficients directeurs sont :","option_a":"égaux","option_b":"opposés","option_c":"inverses","option_d":"nuls","option_e":"","option_f":"","bonne_reponse":"A","explication":"Deux droites parallèles ont le même coefficient directeur (même pente).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":17892,"question":"L'équation x² = 16 a pour solutions :","option_a":"x = 4","option_b":"x = -4","option_c":"x = 4 et x = -4","option_d":"x = 8","option_e":"","option_f":"","bonne_reponse":"C","explication":"x² = 16 implique x = 4 ou x = -4, car 4² = 16 et (-4)² = 16.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":17893,"question":"Le théorème de Thalès s'applique-t-il à deux triangles quelconques ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Thalès s'applique uniquement si les triangles sont en configuration de Thalès (parallèles).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":17894,"question":"Quelle est la solution de l'inéquation 2x + 3 \u003E 7 ?","option_a":"x \u003E 2","option_b":"x \u003E 5","option_c":"x \u003C 2","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":17895,"question":"Si f(x) = 2x + 1, alors f(3) = ?","option_a":"5","option_b":"7","option_c":"6","option_d":"8","option_e":"","option_f":"","bonne_reponse":"B","explication":"f(3) = 2*3 + 1 = 6 + 1 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":17896,"question":"Deux angles opposés par le sommet sont toujours :","option_a":"complémentaires","option_b":"égaux","option_c":"supplémentaires","option_d":"aigus","option_e":"","option_f":"","bonne_reponse":"B","explication":"Deux angles opposés par le sommet ont la même mesure.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":17897,"question":"L'aire d'un triangle rectangle est donnée par :","option_a":"base × hauteur \/ 2","option_b":"côté × côté","option_c":"π × rayon²","option_d":"périmètre \/ 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un triangle est (base × hauteur) \/ 2, surtout pour un triangle rectangle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]