Maths 4ème année secondaire : Testez vos connaissances !

Question 1 sur 10 10:00

[{"id":73472,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 12","option_c":"x = -4","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 5 = 7 ⇒ 3x = 12 ⇒ x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73473,"question":"La fonction f(x) = 2x² - 3x + 1 est-elle une fonction affine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Une fonction affine est de la forme f(x) = ax + b. Ici, f(x) est un polynôme du second degré.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73474,"question":"Quel est le discriminant de l'équation x² - 4x + 3 = 0 ?","option_a":"4","option_b":"-4","option_c":"16","option_d":"0","option_e":"","option_f":"","bonne_reponse":"C","explication":"Le discriminant Δ = b² - 4ac = (-4)² - 4(1)(3) = 16 - 12 = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73475,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à :","option_a":"La somme des carrés des deux autres côtés","option_b":"La différence des carrés des deux autres côtés","option_c":"Le produit des deux autres côtés","option_d":"La moitié du produit des deux autres côtés","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est le théorème de Pythagore : c² = a² + b².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73476,"question":"La dérivée de la fonction f(x) = x³ est-elle f'(x) = 3x² ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de x³ est bien 3x², selon la règle de dérivation des puissances.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73477,"question":"Quelle est la solution de l'inéquation 2x + 3 ≤ 7 ?","option_a":"x ≤ 2","option_b":"x ≥ 2","option_c":"x ≤ -2","option_d":"x ≥ -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 3 ≤ 7 ⇒ 2x ≤ 4 ⇒ x ≤ 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73478,"question":"Un angle de 90° est-il appelé angle droit ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Un angle de 90° est bien un angle droit, par définition.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":73479,"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":73480,"question":"La fonction f(x) = 1\/x est-elle définie en 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":73481,"question":"Quel est le résultat de ∫(2x + 1)dx ?","option_a":"x² + x + C","option_b":"x² + C","option_c":"2x² + x + C","option_d":"x + C","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'intégrale de 2x est x² et celle de 1 est x. On ajoute la constante C.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]