如图,在△ABC中,∠BAC=90°,AB=AC,点D在BC上,且BD=BA,点E在BC的延长线上,且CE=CA,则∠DAE=______

2024-11-17 21:23:49
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回答(1):

∵∠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°.