Quiz Mathématiques : Algèbre et Géométrie pour la 1ère année secondaire

Question 1 sur 10 10:00

[{"id":12218,"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":"Résolvez l'équation : 3x - 5 = 10 → 3x = 15 → x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":12219,"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":12220,"question":"Quelle est la forme factorisée de x² - 9 ?","option_a":"(x - 3)(x + 3)","option_b":"(x - 9)(x + 1)","option_c":"(x - 3)²","option_d":"(x + 3)²","option_e":"","option_f":"","bonne_reponse":"A","explication":"x² - 9 est une différence de carrés : (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":12221,"question":"Si un triangle a des côtés de longueurs 3, 4 et 5, est-il rectangle ?","option_a":"Oui, car 3² + 4² = 5²","option_b":"Non, car 3 + 4 ≠ 5","option_c":"Oui, car 5 est le plus grand côté","option_d":"Non, car 3² + 5² ≠ 4²","option_e":"","option_f":"","bonne_reponse":"A","explication":"3² + 4² = 9 + 16 = 25 = 5², donc le triangle est rectangle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":12222,"question":"L'équation x² + 4x + 4 = 0 a-t-elle une solution réelle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'équation se factorise en (x + 2)² = 0, donc x = -2 est une solution réelle (double).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":12223,"question":"Quelle est l'aire d'un rectangle de longueur 6 cm et de largeur 4 cm ?","option_a":"10 cm²","option_b":"24 cm²","option_c":"12 cm²","option_d":"20 cm²","option_e":"","option_f":"","bonne_reponse":"B","explication":"Aire = longueur × largeur = 6 × 4 = 24 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":12224,"question":"La fonction f(x) = 2x + 1 est-elle linéaire ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction linéaire s'écrit f(x) = ax + b, donc f(x) = 2x + 1 est linéaire.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":12225,"question":"Quelle est la solution de l'inéquation 2x - 3 \u003E 7 ?","option_a":"x \u003E 5","option_b":"x \u003C 5","option_c":"x \u003E 2","option_d":"x \u003C 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x - 3 \u003E 7 → 2x \u003E 10 → x \u003E 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":12226,"question":"Le volume d'un cube d'arête 3 cm est-il égal à 27 cm³ ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Volume = arête³ = 3³ = 27 cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":12227,"question":"Quelle est l'image de 2 par la fonction f(x) = x² - 3x + 2 ?","option_a":"0","option_b":"2","option_c":"-2","option_d":"4","option_e":"","option_f":"","bonne_reponse":"B","explication":"f(2) = 2² - 3×2 + 2 = 4 - 6 + 2 = 0. L'image de 2 est 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]