1、∠AED=∠B+∠BAE==∠B+1/2∠BAC=∠B+1/2(180度-∠B--∠C)=90度+1/2∠B-1/2∠C.在三角形AED中,∠EAD=90度-∠AED=1/2∠C-1/2∠B
2、∠ABC+∠ACB=180°-∠ A,∠PBC+∠PCB=1/2(∠ABC+∠ACB)=1/2(180°-∠ A)=90°-1/2∠ A,角BPCBDC=180°-(∠PBC+∠PCB)=90°+1/2∠ A
3、可以证明∠DBP=90°,∠DCP=90°,所以∠BPC=180°-∠BPC=90°-1/2∠ A