证明:
∵△ABC∽△ADE
∴∠BAC=∠DAE,AB/AD=AE/AC
∵∠BAD=∠BAC-∠CAD,∠CAE=∠DAE-∠CAD
∴∠BAD=∠CAE
∵AB/AD=AE/AC
∴△ABD∽ACE