证明: ∠EHF=180-∠HEF-∠HFE=180-(∠AEF-∠AEH)-(∠AFE-∠AFH) =180-(∠AEF+∠AFE)+1/2(∠AED+∠AFB)=∠A+1/2(∠BCD-∠A) =1/2(∠A+∠BCD)=1/2(180)=90° 故EH⊥FH