Area of triangle

2010-01-27 3:51 am
Point A(2, 2) and B(-1, -1) are both on the parabola y=x^2-2. Placing point P(p, p^2-2) on the parabola between points A and B, answer (a) and (b).

(a) Express the area of triangle ABP in terms of p.

(b) Find the values of p for which the area, S, of the region enclosed by AP, BP and the parabola will be at a minimum value.

係計算 (a) 同 (b) 時,使唔使搵AP同BP既equation??
如果要,佢地分別係乜???
更新1:

我唔係好明(a)點解要咁做, 第一步「| |」入面括住既係點得黎架?? 第一步又係點變成第二步???

更新2:

唔好意思,我未學到行列式, 請問有另外的方法嗎???

更新3:

真的沒有其他方法???= =

回答 (2)

2010-01-27 5:30 am
✔ 最佳答案
As follows:

圖片參考:http://i707.photobucket.com/albums/ww74/stevieg90/01-76.jpg


圖片參考:http://i707.photobucket.com/albums/ww74/stevieg90/02-67.jpg


2010-01-27 19:07:34 補充:
這是用行列式來計算三角形面積的一種方法,於附加數學的平面幾何會教到。

2010-01-28 19:22:33 補充:
UM.....用希羅公式??不過好似很麻煩...

2010-01-28 21:32:32 補充:
um....暫時諗唔到...>

2010-01-28 21:32:52 補充:
用積分?! -0-
2010-01-27 8:03 am
△PAB面積最大時, P點的切線//AB直線
so, 2p=1, p=1/2, P(1/2, -7/4)


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