In the figure, points A, B, C, D, and E lie on a line. A is on both circles, B is the center of the smaller circle, C is the center of the larger circle, D is on the smaller circle, and E is on the larger circle. What is the area of the region inside the larger circle and outside the smaller circle? (1) AB = 3 and BC =2 (2) CD =1 and DE = 4 图略.答案是A,我认为是D.请大家看我的推导有错误吗?
因为(R-r)=AC-AB=BC,同时(R-r)=(R+BC)-r-BC, R+BC=CE+BC=BE=BD+DE=r+DE,所以(R-r)=DE-BC 所以DE-BC=BC,就可以推出BC和AB |