Find x and y.
圖片參考：http://hk.geocities.com/mandylau16/ex6b22fig.jpg
更新1:
答案係: x=130 y=10
F4 maths
2009-05-16 6:37 am
In the figure, POQ is a diameter of the circle. PS//OR and ∠QRO=50.
Find x and y.
圖片參考：http://hk.geocities.com/mandylau16/ex6b22fig.jpg
Find x and y.
圖片參考：http://hk.geocities.com/mandylau16/ex6b22fig.jpg
回答 (2)
2009-05-16 6:46 am
✔ 最佳答案
Angle PRO + angle ORQ = 90 ( angle in semi-circle)so angle PRO + 50 = 90,
angle PRO = 40.
PO = OR = radius of circle, so triangle PRO is an isos. triangle,
so angle POR = 180 - 40 - 40 = 100.
Reflex angle POR = 360 - 100 = 260.
so x = 260/2 = 130 ( angle at circumference = half angle at centre.)
x + y + angle PRO = 180 ( angle suppl. PS//OR)
so 130 + y + 40 = 180
y = 10.
2009-05-16 7:02 am
OR=OQ(radius)
∠RQO=∠QRO
=50o
x+∠RQO=180o
x+50o=180o
x=130o
∠PRO+∠QRO=90o
∠PRO+50=90o
∠PRO=40o
∠RSP=∠PRO
=40o
∠RSP+x+y=180
40o+130+y=180
y=10o
∠RQO=∠QRO
=50o
x+∠RQO=180o
x+50o=180o
x=130o
∠PRO+∠QRO=90o
∠PRO+50=90o
∠PRO=40o
∠RSP=∠PRO
=40o
∠RSP+x+y=180
40o+130+y=180
y=10o
收錄日期: 2021-04-23 20:41:22
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20090515000051KK01764