Maths Bac : Testez vos connaissances en algèbre, fonctions et géométrie

Question 1 sur 10 10:00

[{"id":24018,"question":"Quelle est la solution de l'équation 3x - 5 = 2x + 1 ?","option_a":"x = 4","option_b":"x = 6","option_c":"x = -4","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"C","explication":"En soustrayant 2x des deux côtés et en ajoutant 5, on obtient x = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24019,"question":"Le théorème de Thalès s'applique-t-il uniquement dans un triangle rectangle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Thalès s'applique à tout triangle, pas seulement aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24020,"question":"Quelle est la dérivée de la fonction f(x) = 2x² + 3x - 5 ?","option_a":"f'(x) = 4x + 3","option_b":"f'(x) = 2x + 3","option_c":"f'(x) = 4x² + 3x","option_d":"f'(x) = 2x² + 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de 2x² est 4x, celle de 3x est 3, et celle de -5 est 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24021,"question":"Si A et B sont deux événements incompatibles, alors P(A ∪ B) = P(A) + P(B).","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour des événements incompatibles, la probabilité de leur union est bien la somme de leurs probabilités.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24022,"question":"Quelle est la solution du système d'équations { 2x + y = 5 ; x - y = 1 } ?","option_a":"x = 2, y = 1","option_b":"x = 1, y = 3","option_c":"x = 3, y = -1","option_d":"x = 0, y = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"En résolvant le système, on trouve x = 2 et y = 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24023,"question":"La fonction f(x) = x² est-elle toujours croissante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction f(x) = x² est décroissante pour x \u003C 0 et croissante pour x \u003E 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24024,"question":"Quel est le volume d'un cube d'arête 3 cm ?","option_a":"27 cm³","option_b":"9 cm³","option_c":"12 cm³","option_d":"18 cm³","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le volume d'un cube est donné par V = arête³, soit 3³ = 27 cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24025,"question":"Si f(x) = 3x + 2, alors f'(x) = 3.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée d'une fonction affine f(x) = ax + b est f'(x) = a, ici a = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24026,"question":"Quelle est la probabilité d'obtenir un nombre pair en lançant un dé équilibré ?","option_a":"1\/6","option_b":"1\/2","option_c":"1\/3","option_d":"2\/3","option_e":"","option_f":"","bonne_reponse":"B","explication":"Il y a 3 nombres pairs (2, 4, 6) sur 6 faces possibles, soit une probabilité de 3\/6 = 1\/2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":24027,"question":"L'équation x² - 4x + 4 = 0 admet-elle deux solutions réelles distinctes ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"L'équation se factorise en (x - 2)² = 0, elle admet une solution double x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]