Question

已知△ABC中,AD⊥BC,AE平分角BAC.∠ACB大于90度,∠EAD=二分之一（∠ACB-∠B）是否成立,要过程.

Answer 1

∵∠ACB>90°∴AD⊥BC,D在BC的延长线上∠BAD=90°-∠B∵AE平分∠BAC∴∠BAE=1/2∠BAC∴∠EAD=∠BAD-∠BAE=90°-∠B-1/2∠BAC=90°-1/2∠B-1/2(∠B+∠BAC)=90°-1/2∠B-1/2(180°-∠ACB)=1/2∠ACB-1/2∠B=1/2(∠ACB-...