Circles

2010-04-27 5:54 am
http://img217.imageshack.us/img217/9707/0005h.jpg

上面果邊想不到如何證相似3角形thx`
最好有圖解釋thx`

下面果題,我咁寫得唔得?

as <CPA = <DPB (rept. opp. <s)
so CA=PB (equal angles, equal chords)
<CAD=<DPB (<s in the same segment)
so CAP=BDP (AAS)

as CP+PD = AP=PB
so AB=CD

(雖然我知有更簡單的方法-3-)

回答 (1)

2010-04-27 6:22 am
✔ 最佳答案
3(a) The trick is that triangle ABC is similar to triangle PBA and PAC (AAA)
So triangle APB ~ triangle CPA
(b)
PB/PA=PA/PC
PB/4=4/2
PB=8 cm
(c) radius=(8+2)/2=5 cm
3 Your method is wrong. CA=DB (equal angles, equal chords) ????

First triangle OPQ ~= triangle OPR (AAS)
Second triangle OQC ~= triangle ORB (RHS)
So BP=PC
Now angle CPA = angle BPD
angle ACP = angle DBP
So triangle ACP ~= triangle DBP
AP=DP
Just AP+PB=DP+PC
AB=CD


收錄日期: 2021-04-26 14:55:08
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