Maths Seconde : Algèbre et Géométrie — Testez vos connaissances !

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[{"id":69902,"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 = 10 + 5 → 3x = 15 → x = 15\/3 = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":69903,"question":"Le théorème de Pythagore s'applique uniquement aux triangles rectangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Pythagore est valable uniquement pour les triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":69904,"question":"Développez l'expression (2x + 3)(x - 4).","option_a":"2x² - 5x - 12","option_b":"2x² - 8x + 3x - 12","option_c":"2x² - 5x + 12","option_d":"2x² + 11x - 12","option_e":"","option_f":"","bonne_reponse":"B","explication":"Développement : 2x * x + 2x * (-4) + 3 * x + 3 * (-4) = 2x² - 8x + 3x - 12 = 2x² - 5x - 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":69905,"question":"Si AB = 5 cm, BC = 12 cm et AC = 13 cm, alors le triangle ABC est rectangle en B.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Vérifiez avec le théorème de Pythagore : 5² + 12² = 25 + 144 = 169 = 13². Le triangle est rectangle en B.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":69906,"question":"Quelle est la forme développée de (x + 2)² ?","option_a":"x² + 4","option_b":"x² + 4x + 4","option_c":"x² + 2x + 4","option_d":"x² + 2x + 2","option_e":"","option_f":"","bonne_reponse":"B","explication":"Identité remarquable : (x + 2)² = x² + 2 * x * 2 + 2² = x² + 4x + 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":69907,"question":"La fonction affine f(x) = 3x + 2 a un coefficient directeur égal à 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le coefficient directeur est 3, le terme constant est 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":69908,"question":"Résolvez l'inéquation 2x - 7 \u003E 3.","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":"Résolution : 2x \u003E 3 + 7 → 2x \u003E 10 → x \u003E 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":69909,"question":"Dans un triangle isocèle, les angles à la base sont égaux.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Par définition, un triangle isocèle a deux angles à la base égaux.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":69910,"question":"Quelle est l'image de -3 par la fonction f(x) = -2x + 1 ?","option_a":"7","option_b":"-5","option_c":"5","option_d":"-7","option_e":"","option_f":"","bonne_reponse":"A","explication":"Calcul : f(-3) = -2 * (-3) + 1 = 6 + 1 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":69911,"question":"Les droites d'équations y = 2x + 1 et y = -0.5x + 3 sont perpendiculaires.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le produit des coefficients directeurs est 2 * (-0.5) = -1, donc les droites sont perpendiculaires.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]