证明：∠P=180-(∠PBC+∠PCB) ∠PBC+∠PCB=1/2(180-∠ABC+180-∠ACB)=180-1/2(∠ABC+∠ACB) ∠ABC+∠ACB=180-∠A 则∠PBC+∠PCB=90+1/2∠A 从而：∠P=180-(∠PBC+∠PCB)=90-1/2∠A
