Question

已知:如图△ABC中,BC=2AB,D为BC中点,E为BD中点，求证：AC=2AE

已知:如图△ABC中,BC=2AB,D为BC中点,E为BD中点，求证：AC=2AE

Answer 1

取AB中点M 连接芦租DM 易知DM‖AC 推培搜得AC=2MD

又AB = BD = BC/2; BE = BM; ∠ABE = ∠BDM 故△ABE≌陪中兆△DBM
得到 AE=DM

综上AC = 2MD = 2AE

Answer 2

取AB中点M 连接DM 易尺圆知DM‖AC 推得AC=2MD

又AB = BD = BC/2; BE = BM; ∠ABE = ∠BDM 故△ABE≌△DBM
得氏困灶到歼扮 AE=DM

综上AC = 2MD = 2AE