(2014?吉林)如图,△ABC和△DAE中,∠BAC=∠DAE,AB=AE,AC=AD,连接BD,CE,求证:△ABD≌△AEC

2025-02-26 14:23:50
推荐回答(1个)
回答1:

解答:证明:∵∠BAC=∠DAE,
∴∠BAC-BAE=∠DAE-∠BAE,
即∠BAD=∠CAE,
在△ABD和△AEC中,
AD=AC
∠BAD=∠EAC
AB=AE

∴△ABD≌△AEC(SAS).