首页 > 留学知识库

问题: 四边形ABCD

已知四边形ABCD中,E、F、G分别在AD、BD、CD上,且EF∥AB,FG∥BC,求证:△DEG~△DAC

解答:

EF∥AB ===>DE:DA=DF:DB .........(1)

FG∥BC ===>DG:DC=DF:DB .........(2)

(1),(2)=====>DE:DA=DG:DC ===>EG//AC ==>△DEG~△DAC