Question

△ABC中,∠ACB=90°,AC=BC,E为BC的中点,过C作CF⊥AE于点F,过B作BD⊥BC交CF的延长线于点D.

Answer 1

(1)∵BD⊥BC∴∠CBD=90°∵CF⊥AE∴∠AFC=90°∵∠ACB=90°∴∠ACB=∠AFC=∠DBC=90°在△ACF中∵∠AFC=90°∴∠ACF+∠CAF=90°∵∠ACB=90°∴∠DCB=∠ACB-∠ACD=90°-∠ACD=∠CAF在△ACE与△CBD中∵{∠DBC=∠ACE{∠C...