证明:延长CB到F' ,使BF' =DF.∵△ABF'≌△ADF
∴AF'=AF,DF=BF'
∴EF=BE+DF=BE+BF'=EF'
∴在△AEF与△AEF'中
AE=AE
AF=AF'
EF=EF'
∴△AEF≌△AEF'(SSS)
∴∠EAF=∠EAF'=∠EAB+∠BAF'
=∠EAB+∠DAF
∴∠EAF=1/2∠BAD=45°.请记得采纳,
证明:延长CB到F' ,使BF' =DF.∵△ABF'≌△ADF
∴AF'=AF,DF=BF'
∴EF=BE+DF=BE+BF'=EF'
∴在△AEF与△AEF'中
AE=AE
AF=AF'
EF=EF'
∴△AEF≌△AEF'(SSS)
∴∠EAF=∠EAF'=∠EAB+∠BAF'
=∠EAB+∠DAF
∴∠EAF=1/2∠BAD=45°.请记得采纳,