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離線炸炸帝
 
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只看樓主 倒序閱讀 使用道具 樓主   發表于: 2006-06-03
In the figure, ABCD is a cyclic quadrilaeral. If AB=9, BC=7, CD=6 and AD=3.

(a) (i) express BD^2 in terms of <BAD.
(a) (ii) express BD^2 in therms of <BCD.
(b) express <BAD in terms of <BCD.
(c) hence find <BAD.

I didn't understand (c) only and I finished/found the answer of (a),(b).
(a)(i) BD^2=90-54cos<BAD
(a)(ii) BD^2=85-84cos<BCD
(b) <BAD=180'-<BCD
(c) ???




Both of the figure is same.
離線kylau
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只看該作者 1  發表于: 2006-06-03
use cos (180-x) = -cos x

So sub into parts a and b, get the solution
離線BBF
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只看該作者 2  發表于: 2006-06-03
hence = use the ans in above part

1st: <BAD=180'-<BCD
2nd: <BAD=180' - <BCD (用aii轉走<BCD )
3rd: <BAD= .........(再用ai轉走BD^2)
4th: 再簡化佢,左右都有<BAD,你半佢係一個未知數
      就就好似   y=12+2.5y (亂寫的), 咁之後大家都識做啦