Quiz : Algèbre et Géométrie pour la Seconde

Question 1 sur 10 10:00

[{"id":18648,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 12\/3","option_c":"x = 2","option_d":"x = -4","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 5 = 7 ⇒ 3x = 12 ⇒ x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18649,"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":18650,"question":"Résoudre l'inéquation : 2x + 3 \u003E 7.","option_a":"x \u003E 2","option_b":"x \u003E -2","option_c":"x \u003C 2","option_d":"x \u003C -2","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":18651,"question":"Si dans un triangle ABC, AB = 5 cm, BC = 12 cm et AC = 13 cm, alors ce 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 ⇒ triangle rectangle en B.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18652,"question":"La formule de l'aire d'un triangle est toujours : A = (base × hauteur)\/2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Cette formule est valable pour tous les triangles, quelle que soit leur forme.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18653,"question":"Quelle est la solution de l'équation : x² - 9 = 0 ?","option_a":"x = 3","option_b":"x = -3","option_c":"x = 3 ou x = -3","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"C","explication":"x² - 9 = 0 ⇒ x² = 9 ⇒ x = 3 ou x = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18654,"question":"Dans un triangle rectangle, si l'hypoténuse mesure 10 cm et un côté mesure 6 cm, quelle est la longueur du troisième côté ?","option_a":"4 cm","option_b":"8 cm","option_c":"√64 cm","option_d":"√136 cm","option_e":"","option_f":"","bonne_reponse":"C","explication":"D'après le théorème de Pythagore : 10² = 6² + x² ⇒ x = √(100 - 36) = √64 = 8 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18655,"question":"L'équation 2(x + 3) = 2x + 6 est-elle toujours vraie ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"2(x + 3) = 2x + 6 ⇒ 2x + 6 = 2x + 6, identité toujours vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18656,"question":"Quelle est la solution de l'inéquation : -3x + 2 ≤ 11 ?","option_a":"x ≥ -3","option_b":"x ≤ -3","option_c":"x ≥ 3","option_d":"x ≤ 3","option_e":"","option_f":"","bonne_reponse":"B","explication":"-3x + 2 ≤ 11 ⇒ -3x ≤ 9 ⇒ x ≥ -3 (attention au changement de sens de l'inégalité).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18657,"question":"Si deux droites sont parallèles à une même troisième, alors elles sont parallèles entre elles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une propriété fondamentale de la géométrie euclidienne (axiome d'Euclide).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]