如图,已知△ABC,延长到BC到D,使CD=BC,取AB的中点F,连接FD交AC于点E.
问题描述:
如图,已知△ABC,延长到BC到D,使CD=BC,取AB的中点F,连接FD交AC于点E.
(1)求证AE/AC
(2)若AB=a,FB=EC,求AC的长.
答
1、AE/AC = 2/32、AC = (3/2)×a1、连接FC、AD,∵AF = BF, BC= CD∴FC∥AD,且FC = 1/2×AD∴ΔEFC∽ΔEAD∴EC = 1/2×AE∴AE/AC = 2/32、∵EC = 1/2×AE &nbs...