In Figure, TA,TB and PQ are tangents to the circle. TP = 8cm, TQ = 10cm and BQ = x cm. If Pq = 6cm, find x.
Figure http://server5.pictiger.com/img/1090366/picture-hosting/.jpg
F4 math problems ( Circles )
2007-04-24 12:24 am
回答 (2)
2007-04-24 3:07 am
✔ 最佳答案
圖片參考：http://hk.geocities.com/namsm4e/p0121.jpg
計算這題的主要使用的性質是一點至圓的兩條切線距離相等。
所以
TA = TB
PA = PR
QA = QR
因 BQ = x cm 所以 QR = x cm
PR = 6 – x
AP = 6 – x
TA = 8 + 6 – x
TB = 10 + x
因 TA = TB
8 + 6 – x = 10 + x
2x = 4
x = 2cm
2007-04-24 3:08 am
AT=BT(tangent properties)
BQ=X(Given)
AP+8=X+10
AP=X+2
AP=RP(tangent properties)
BQ=RQ(tangent properties)
RP+RQ=PQ
(X+2)+X=6
2X=4
X=2
BQ=X(Given)
AP+8=X+10
AP=X+2
AP=RP(tangent properties)
BQ=RQ(tangent properties)
RP+RQ=PQ
(X+2)+X=6
2X=4
X=2
參考: DIY
收錄日期: 2021-04-18 21:53:43
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20070423000051KK02100