1.證明鄰補角的平分線互相垂直.
已知:角AOB與角BOC互為鄰補角.
OD平分角AOB
OE平分角BOC
求證:OD垂直OE
證明:
(求證明)
[急]幾何-定理與證明!
2011-04-05 7:01 pm
回答 (1)
2011-04-05 7:18 pm
✔ 最佳答案
角AOB與角BOC互為鄰補角 : ㄥAOB + ㄥBOC = 180°OD平分角AOB : ㄥAOD = (1/2) ㄥAOB ....(1)OE平分角BOC : ㄥEOC = (1/2) ㄥBOC ....(2)(1) + (2) :ㄥAOD + ㄥEOC = (1/2) ㄥAOB + (1/2) ㄥBOC ㄥDOE = (1/2) (ㄥAOB + ㄥBOC)
ㄥDOE = (1/2) 180°
ㄥDOE = 90°所以 OD 垂直 OE。
收錄日期: 2021-04-21 22:20:11
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20110405000051KK00306