Quiz Maths : Algèbre, Fonctions et Géométrie — 1ère Année Secondaire

Question 1 sur 10 10:00

[{"id":52541,"question":"Quelle est la solution de l'équation 3x - 7 = 2x + 5 ?","option_a":"x = 12","option_b":"x = 2","option_c":"x = -12","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"En isolant x, on obtient 3x - 2x = 5 + 7, soit x = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":52542,"question":"La fonction f(x) = 2x + 3 est-elle 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 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":52543,"question":"Quel est le coefficient directeur de la droite passant par les points A(1; 2) et B(3; 6) ?","option_a":"2","option_b":"4","option_c":"1","option_d":"0.5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le coefficient directeur est (6-2)\/(3-1) = 4\/2 = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":52544,"question":"Le théorème de Pythagore s'applique-t-il à un triangle quelconque ?","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":52545,"question":"Résolvez l'inéquation 2x - 5 \u003C 3x + 1.","option_a":"x \u003E -6","option_b":"x \u003C -6","option_c":"x \u003E 6","option_d":"x \u003C 6","option_e":"","option_f":"","bonne_reponse":"B","explication":"En isolant x, on obtient -5 - 1 \u003C 3x - 2x, soit -6 \u003C x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":52546,"question":"La fonction f(x) = x² - 4x + 4 admet-elle un minimum ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une fonction du second degré avec un coefficient positif, donc elle admet un minimum en x = -b\/(2a) = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":52547,"question":"Quelle est l'aire d'un triangle rectangle de côtés 3 cm et 4 cm ?","option_a":"6 cm²","option_b":"12 cm²","option_c":"7 cm²","option_d":"5 cm²","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un triangle rectangle est (base × hauteur)\/2 = (3 × 4)\/2 = 6 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":52548,"question":"La droite d'équation y = -2x + 5 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 négatif (-2), donc la droite est décroissante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":52549,"question":"Quel est le résultat de (x + 3)² ?","option_a":"x² + 6x + 9","option_b":"x² + 3x + 9","option_c":"x² + 9","option_d":"x² + 6x + 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant, on obtient x² + 6x + 9.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":52550,"question":"Le théorème de Thalès permet-il de calculer des longueurs dans un triangle quelconque ?","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 dans un triangle avec une parallèle à l'un des côtés.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]