已知正方形的周長(zhǎng)為x,它的外接圓的半徑為y,則y關(guān)于x的函數(shù)解析式為( ?。?A.y=12x(x>0) B.y=24x(x>0) C.y=28x(x>0) D.y=216x(x>0)
已知正方形的周長(zhǎng)為x,它的外接圓的半徑為y,則y關(guān)于x的函數(shù)解析式為( ?。?br/>A. y=
x(x>0)
B. y=
x(x>0)
C. y=
x(x>0)
D. y=
x(x>0)
優(yōu)質(zhì)解答
如圖:∵周長(zhǎng)為x,x>0.
![](http://hiphotos.baidu.com/zhidao/pic/item/dcc451da81cb39db49de8ae7d3160924ab183061.jpg)
∴BC=DC=
,
∵∠C=90°,
∴BD是直徑,
∴BD為等腰直角三角形的斜邊,
∴BD=
?BC=
x,
即:2y=
x,
∴y=
x,x>0
故選C.
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