∵∠BAC=90°,AB=AC,∴∠B=∠ACB=45°,∵BD=BA,∴∠BAD=∠BDA= 1 2 (180°-45°)=67.5°,∵CE=CA,∴∠E=∠CAE= 1 2 ×45°=22.5°,∴∠DAE=∠BAD-∠E,=67.5°-22.5°,=45°.