Quiz interactif : Algèbre et Géométrie pour la 5ème année secondaire

Question 1 sur 10 10:00

[{"id":56961,"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":56962,"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. Pour les autres triangles, on utilise d'autres méthodes.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56963,"question":"Quelle est l'équation de la droite passant par les points A(1, 2) et B(3, 4) ?","option_a":"y = x + 1","option_b":"y = 2x - 1","option_c":"y = x","option_d":"y = 2x + 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"La pente m = (4-2)\/(3-1) = 1. L'équation est y = x + 1 (car 2 = 1*1 + 1).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56964,"question":"Dans un triangle ABC, si AB = 5 cm, AC = 12 cm et BC = 13 cm, alors le triangle est :","option_a":"Acute","option_b":"Rectangle","option_c":"Obtus","option_d":"Isocèle","option_e":"","option_f":"","bonne_reponse":"B","explication":"5² + 12² = 25 + 144 = 169 = 13², donc le triangle est rectangle en A.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56965,"question":"La fonction f(x) = 2x + 3 est 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, ce qui est le cas ici avec a = 2 et b = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56966,"question":"Quel est le milieu du segment [AB] avec A(-2, 3) et B(4, -1) ?","option_a":"(1, 1)","option_b":"(2, -2)","option_c":"(3, 1)","option_d":"(1, -1)","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le milieu a pour coordonnées ((-2+4)\/2, (3-1)\/2) = (1, 1).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56967,"question":"Si f(x) = x² - 4x + 4, alors f(2) = 0.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"f(2) = 2² - 4*2 + 4 = 4 - 8 + 4 = 0. L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56968,"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":56969,"question":"Le théorème de Thalès s'applique-t-il à deux droites sécantes coupées par des parallèles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Thalès s'applique bien à deux droites sécantes coupées par des droites parallèles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56970,"question":"Quelle est la représentation graphique d'une fonction linéaire ?","option_a":"Une parabole","option_b":"Une droite passant par l'origine","option_c":"Une droite horizontale","option_d":"Un cercle","option_e":"","option_f":"","bonne_reponse":"B","explication":"Une fonction linéaire f(x) = ax a pour représentation graphique une droite passant par l'origine.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]