Maths 3ème année secondaire : Testez vos connaissances en série 08 !

Question 1 sur 10 10:00

[{"id":23248,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 12","option_c":"x = 2","option_d":"x = -4","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 7, on ajoute 5 des deux côtés : 3x = 12, puis on divise par 3 : x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23249,"question":"La dérivée de la fonction f(x) = x² est f'(x) = 2x.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de x² est bien 2x, d'après la règle de dérivation des fonctions puissances.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23250,"question":"Quel est le discriminant de l'équation x² - 4x + 4 = 0 ?","option_a":"Δ = 0","option_b":"Δ = 4","option_c":"Δ = 8","option_d":"Δ = -4","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le discriminant Δ = b² - 4ac = (-4)² - 4(1)(4) = 16 - 16 = 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23251,"question":"La fonction f(x) = 1\/x est définie pour x = 0.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction f(x) = 1\/x n'est pas définie en x = 0 car la division par zéro est impossible.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23252,"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":23253,"question":"La somme des angles d'un triangle est égale à 180°.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une propriété fondamentale de la géométrie plane : la somme des angles d'un triangle est toujours 180°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23254,"question":"Quel est le résultat de ∫(2x + 3) dx ?","option_a":"x² + 3x + C","option_b":"x² + 3x","option_c":"2x² + 3x + C","option_d":"x² + 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'intégrale de 2x est x² et celle de 3 est 3x, donc ∫(2x + 3) dx = x² + 3x + C.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23255,"question":"La fonction f(x) = x³ est croissante sur ℝ.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de f(x) = x³ est f'(x) = 3x², qui est toujours positive (sauf en x = 0). La fonction est donc croissante sur ℝ.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23256,"question":"Quelle est la solution de 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":"2x - 7 \u003E 3 ⇒ 2x \u003E 10 ⇒ x \u003E 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":23257,"question":"Le vecteur u(2; -3) et le vecteur v(-2; 3) sont opposés.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Deux vecteurs sont opposés si leurs coordonnées sont opposées. Ici, u = -v, donc ils sont opposés.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]