题目内容：

△ABC中,角BAC=2角B,AB=2AC,AE平分角CAB,求证：AE=2CE

优质解答

∵∠BAC=2∠B(∠ABC),AE平分∠BAC,
∴∠CAE=∠BAE=∠ABC
∴∠CEA=∠BAC,
∵∠ACE=∠ACB,
∴△ACE∽△ABC,
∵AB=2AC,
∴AE=2CE