Quiz : Testez vos connaissances sur les notions clés du programme scolaire tunisien

Question 1 sur 10 10:00

[{"id":69432,"question":"Quelle est la formule de la dérivée de la fonction f(x) = x² ?","option_a":"A. f'(x) = 2x","option_b":"B. f'(x) = x","option_c":"C. f'(x) = 2","option_d":"D. f'(x) = x²","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de x² est obtenue en appliquant la règle de dérivation des fonctions puissances : f'(x) = 2x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":69433,"question":"L'équation x² - 5x + 6 = 0 admet deux solutions réelles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le discriminant Δ = 25 - 24 = 1 \u003E 0, donc l'équation admet bien deux solutions réelles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":69434,"question":"Quel est le résultat de l'intégrale ∫(3x² + 2x + 1) dx ?","option_a":"A. x³ + x² + x + C","option_b":"B. 3x³ + 2x² + x + C","option_c":"C. x³ + x + C","option_d":"D. 6x + 2 + C","option_e":"","option_f":"","bonne_reponse":"B","explication":"L'intégrale de 3x² est x³, celle de 2x est x², et celle de 1 est x. On ajoute la constante d'intégration C.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":69435,"question":"La fonction f(x) = sin(x) est périodique de période π.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction sin(x) est périodique de période 2π, pas π.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":69436,"question":"Quelle est la solution de l'équation 2x + 3 = 7 ?","option_a":"A. x = 2","option_b":"B. x = 3","option_c":"C. x = 4","option_d":"D. x = 5","option_e":"","option_f":"","bonne_reponse":"B","explication":"En soustrayant 3 des deux côtés, on obtient 2x = 4, puis x = 2. La solution est x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":69437,"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":69438,"question":"Quelle est la dérivée de la fonction f(x) = e^x ?","option_a":"A. f'(x) = 0","option_b":"B. f'(x) = 1","option_c":"C. f'(x) = e^x","option_d":"D. f'(x) = x","option_e":"","option_f":"","bonne_reponse":"C","explication":"La dérivée de la fonction exponentielle e^x est elle-même : f'(x) = e^x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":69439,"question":"Un parallélogramme a ses diagonales qui se coupent en leur milieu.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une propriété fondamentale des parallélogrammes : leurs diagonales se coupent en leur milieu.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":69440,"question":"Quelle est la solution de l'inéquation 3x - 5 \u003E 1 ?","option_a":"A. x \u003E 2","option_b":"B. x \u003C 2","option_c":"C. x \u003E 1","option_d":"D. x \u003C 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"En ajoutant 5 des deux côtés, on obtient 3x \u003E 6, puis x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":69441,"question":"La loi d'Ohm s'exprime par la formule U = R × I.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La loi d'Ohm relie la tension U, la résistance R et l'intensité I par la formule U = R × I.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]