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如图所示的算法流程图中(注:“A=1”也可写成“A:=1”或“A←1”,均表示赋...
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如图所示的算法流程图中(注:“A=1”也可写成“A:=1”或“A←1”,均表示赋值语句),第3个输出的数是( )
A.1
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183441842374128/SYS201310241834418423741004_ST/0.png)
C.2
D.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183441842374128/SYS201310241834418423741004_ST/1.png)
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在xOy平面上有一系列的点P
1(x
1,y
1),P
2(x
2,y
2),…,P
n(x
n,y
n)…对于正整数n,点P
n位于函数y=x
2(x≥0)的图象上,以点P
n为圆心的⊙P
n与x轴相切,且⊙P
n与⊙P
n+1又彼此外切,若x
1=1,且x
n+1<x
n.
(1)求证:数列
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183441842175768/SYS201310241834418421757025_ST/0.png)
是等差数列;
(2)设⊙P
n的面积为S
n,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183441842175768/SYS201310241834418421757025_ST/1.png)
,求证:
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183441842175768/SYS201310241834418421757025_ST/2.png)
.
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