O是AB上一点,OD平分∠AOC,OE平分∠COB,求证:OD⊥OE

2025-06-23 11:43:08
推荐回答(1个)
回答1:

证:∠DOE=∠DOC+∠EOC=(∠AOC/2)+(∠BOC/2)
=(∠AOC/2)+(180-∠AOC)/2
=180/2
=90
即∠DOE=90度,所以OD⊥OE