Quiz : Maîtrisez les bases de la 3ème en mathématiques !

Question 1 sur 10 10:00

[{"id":25178,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 12","option_c":"x = -4","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 7, on ajoute 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":25179,"question":"Le théorème de Thalès s'applique uniquement aux triangles rectangles.","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, pas seulement aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25180,"question":"Quelle est l'image de 2 par la fonction f(x) = 3x + 1 ?","option_a":"f(2) = 7","option_b":"f(2) = 5","option_c":"f(2) = -5","option_d":"f(2) = 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"En remplaçant x par 2 dans f(x) = 3x + 1, on obtient f(2) = 3*2 + 1 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25181,"question":"La tangente d'un angle aigu dans un triangle rectangle est égale au rapport :","option_a":"Côté opposé \/ Hypoténuse","option_b":"Côté adjacent \/ Hypoténuse","option_c":"Côté opposé \/ Côté adjacent","option_d":"Hypoténuse \/ Côté opposé","option_e":"","option_f":"","bonne_reponse":"C","explication":"Par définition, la tangente d'un angle est le rapport du côté opposé au côté adjacent.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25182,"question":"L'inéquation 2x + 3 \u003E 5 a pour solution :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En résolvant 2x + 3 \u003E 5, on obtient 2x \u003E 2, puis x \u003E 1. La solution est donc x \u003E 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25183,"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 de la forme f(x) = ax + b a pour représentation graphique une droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25184,"question":"Si deux triangles sont semblables, leurs angles correspondants sont :","option_a":"Différents","option_b":"Égaux","option_c":"Complémentaires","option_d":"Supplémentaires","option_e":"","option_f":"","bonne_reponse":"B","explication":"Par définition, deux triangles semblables ont des angles correspondants égaux.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25185,"question":"La valeur de cos(60°) est égale à :","option_a":"0","option_b":"1\/2","option_c":"√2\/2","option_d":"√3\/2","option_e":"","option_f":"","bonne_reponse":"B","explication":"Dans un triangle équilatéral, cos(60°) = 1\/2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25186,"question":"Résoudre l'inéquation -2x + 4 ≤ 0.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En résolvant -2x + 4 ≤ 0, on obtient -2x ≤ -4, puis x ≥ 2 (en divisant par un nombre négatif, on inverse le sens de l'inégalité).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25187,"question":"Quelle est la pente de la droite d'équation y = -3x + 2 ?","option_a":"-3","option_b":"2","option_c":"3","option_d":"-2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Dans l'équation y = ax + b, a représente la pente. Ici, a = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]