一條中二數學題 想請大家幫忙

2010-07-27 7:50 pm
http://img.photobucket.com/albums/v333/suei_69/PATRICKWU.jpg?t=12801699

如圖,已三角形ABC的三條角平分線交于O點,過O作OG垂直於G,求證角BOD=角COG.

回答 (1)

2010-07-27 8:18 pm
✔ 最佳答案

圖片參考:http://img.photobucket.com/albums/v333/suei_69/PATRICKWU.jpg?t=12801699



ㄥBOD

= ㄥB/2 + ㄥA/2 (ext.ㄥ)

= 90° - ㄥC/2 ..........(Since A+B+C=180)

= ㄥCOG



2010-07-27 12:19:59 補充:
Note :

ㄥBOD = ㄥABO + ㄥBAO = ㄥB/2 + ㄥA/2


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