Révisons les procédés mathématiques en 3ème année secondaire !

Question 1 sur 10 10:00

[{"id":60077,"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 = 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"La solution est obtenue en isolant x : 3x = 15 → x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":60078,"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":60079,"question":"Quelle est la dérivée de la fonction f(x) = x² + 3x - 2 ?","option_a":"f'(x) = 2x + 3","option_b":"f'(x) = x² + 3","option_c":"f'(x) = 2x - 2","option_d":"f'(x) = 3x + 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de x² est 2x, celle de 3x est 3, et celle de -2 est 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":60080,"question":"Si un triangle a des côtés de longueurs 3, 4 et 5, alors il est rectangle.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"3² + 4² = 5², donc le triangle est rectangle d'après le théorème de Pythagore.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":60081,"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":60082,"question":"La fonction f(x) = x³ est une fonction paire.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Une fonction paire vérifie f(-x) = f(x). Ici, f(-x) = -x³ ≠ f(x).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":60083,"question":"Quelle est l'aire d'un cercle de rayon r = 4 cm ?","option_a":"16π cm²","option_b":"8π cm²","option_c":"4π cm²","option_d":"π cm²","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un cercle est πr² = π × 4² = 16π cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":60084,"question":"La dérivée de la fonction constante f(x) = 7 est égale à 0.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée d'une fonction constante est toujours 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":60085,"question":"Quelle est la solution de l'inéquation 2x - 3 \u003E 7 ?","option_a":"x \u003E 5","option_b":"x \u003E 2","option_c":"x \u003C 5","option_d":"x \u003C 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En isolant x : 2x \u003E 10 → x \u003E 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":60086,"question":"Le volume d'une sphère de rayon r est donné par la formule V = (4\/3)πr³.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La formule du volume d'une sphère est bien V = (4\/3)πr³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]