如图,已知∠AOB=90°,∠AOC为锐角,OD平分∠AOC,OE平分...?
wsj3014
2022-02-04 14:31
开发者_运维知识库
解:(1)∵OD平分∠AOC,OE平分∠BOC ∴∠AOD=∠DOC=1/2∠AOC ∠BOE=∠EOC=1/2∠BOC∵∠DOE=∠EOC-∠DOC =1/2∠BOC-1/2∠AOC =1/2(∠BOC-∠AOC) =1/2∠AOB ∴∠DOE=45°
wsj3014
2022-02-04 14:31
开发者_运维知识库
解:(1)∵OD平分∠AOC,OE平分∠BOC ∴∠AOD=∠DOC=1/2∠AOC ∠BOE=∠EOC=1/2∠BOC ∵∠DOE=∠EOC-∠DOC =1/2∠BOC-1/2∠AOC =1/2(∠BOC-∠AOC) =1/2∠AOB ∴∠DOE=45°(2)上面得到 ∠DOE=1/2∠AOB 当∠AOB=m° 则∠DOE=1/2m°
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