Maths 4ème secondaire : Testez vos connaissances avec la Série 5

Question 1 sur 10 10:00

[{"id":42016,"question":"Quelle est la solution de l'équation 3x + 5 = 2x - 7 ?","option_a":"x = -12","option_b":"x = 12","option_c":"x = -2","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 2x des deux côtés et en soustrayant 5, on obtient x = -12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42017,"question":"La fonction f(x) = 2x² - 3x + 1 est une fonction affine.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Une fonction affine s'écrit sous la forme f(x) = ax + b. Ici, f(x) est une fonction polynôme du second degré.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42018,"question":"Quel est le discriminant de l'équation x² - 4x + 3 = 0 ?","option_a":"Δ = -4","option_b":"Δ = 4","option_c":"Δ = 0","option_d":"Δ = 16","option_e":"","option_f":"","bonne_reponse":"B","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":42019,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","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":42020,"question":"Quelle est la dérivée de la fonction f(x) = 4x³ - 2x² + x - 5 ?","option_a":"f'(x) = 12x² - 4x + 1","option_b":"f'(x) = 12x² - 4x","option_c":"f'(x) = 4x² - 2x + 1","option_d":"f'(x) = 12x - 4x + 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée se calcule terme par terme : f'(x) = 12x² - 4x + 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42021,"question":"La probabilité d'un événement impossible est égale à 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La probabilité d'un événement impossible est 0, tandis que celle d'un événement certain est 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42022,"question":"Quelle est la solution de l'inéquation 2x - 5 \u003C 3x + 1 ?","option_a":"x \u003E -6","option_b":"x \u003C -6","option_c":"x \u003E 6","option_d":"x \u003C 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 2x et 1 des deux côtés, on obtient -6 \u003C x, soit x \u003E -6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42023,"question":"Le centre de symétrie d'un cercle est un point situé à l'intérieur du cercle.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le centre de symétrie d'un cercle est le centre du cercle, qui est toujours à l'intérieur.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42024,"question":"Quelle est la forme canonique de la fonction f(x) = x² - 6x + 10 ?","option_a":"f(x) = (x - 3)² + 1","option_b":"f(x) = (x + 3)² + 1","option_c":"f(x) = (x - 3)² - 1","option_d":"f(x) = (x + 3)² - 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"La forme canonique s'obtient par f(x) = (x - 3)² + 1 après complétion du carré.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42025,"question":"La somme des angles d'un triangle est toujours égale à 180 degrés.","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.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]