1 trigonometry Q.

2011-08-12 10:39 pm

圖片參考:http://imgcld.yimg.com/8/n/HA00936359/o/701108120063213873441740.jpg

For any ∆ABC (Beside isos. ∆),
AJ is an angle bisector of ∆BAC, so ∠BAJ=∠CAJ.
HK is a perpendicular bisector of BC, so HK⊥BC,BK=CK.
Extend AJ and HK, they meet at point O.
Prove that point O is outside the ∆ABC (Beside isos. ∆).

回答 (1)

2011-08-13 6:56 am
✔ 最佳答案

圖片參考:http://tw.blog.yahoo.com/photo/photo.php?id=5cMJAGuFERmdAf4sfsa5M35I&photo=ap_F23_20110812105336560.jpg


圖片參考:http://tw.blog.yahoo.com/photo/photo.php?id=5cMJAGuFERmdAf4sfsa5M35I&photo=ap_F23_20110812105341246.jpg

http://tw.myblog.yahoo.com/sincos-heart/article?mid=3406&prev=1185&next=3402

2011-08-13 00:02:51 補充:
更正:做BC中點K 連接 OK

2011-08-13 16:04:23 補充:
how to prove when ∠BAO=∠CAO,arc OB will =arc OC??
兩個圓周角相同,必對應於兩個相同的弧。
OB弧 對應於 ∠BAO,OC弧 對應於 ∠CAO

2011-08-13 16:18:59 補充:
how to prove when ∠BAO=∠CAO,arc OB will =arc OC??
證明:
http://tw.myblog.yahoo.com/sincos-heart/article?mid=3406

2011-08-14 01:10:27 補充:
why (∠3)/2 =∠1?
圓周角 是 圓心角的一半

2011-08-14 01:27:45 補充:
證明:
http://tw.myblog.yahoo.com/sincos-heart/article?mid=3406
(在最底下)


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