证明：
延长AD到F,使DF=AD
则△ABD∽△FCD
∴∠ABC=∠BCF、CF=AB=CE
∵∠ACE =∠BAC+∠B=∠ACB+∠FCB=∠ACF
∴∠ACF=∠ACE
∵AC=AC
∴△AFC≌△AEC
∴∠DAC=∠CAE