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若4
27+4
1000+4
n为完全平方数,则正整数n满足( )
A.n≥1972
B.n≤1972
C.n≥1973
D.n≤1970
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如图,一个棱长为a的立方体内有1个大球和8个小球,大球与立方体的六个面都相切,每个小球与大球外切且与共顶点的三个面也相切,现在把立方体的每个角都截去一个三棱锥,截面都为正三角形并与小球相切,变成一个新的立体图形,则原立方体的每条棱还剩余( )
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224809904494286/SYS201311012248099044942006_ST/images0.png)
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224809904494286/SYS201311012248099044942006_ST/0.png)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224809904494286/SYS201311012248099044942006_ST/1.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224809904494286/SYS201311012248099044942006_ST/2.png)
D.
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函数f(x)的定义域为D,若满足①f(x)在D内是单调函数,②存在[m,n]⊆D,使f(x)在[m,n]上的值域为
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224809904494286/SYS201311012248099044942005_ST/0.png)
,那么就称y=f(x)为“好函数”.现有f(x)=log
a(a
x+k),(a>0,a≠1)是“好函数”,则k的取值范围是( )
A.(0,+∞)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224809904494286/SYS201311012248099044942005_ST/1.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224809904494286/SYS201311012248099044942005_ST/2.png)
D.
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已知α是函数 f(x)=xlog
ax-2008,(a>1)的一个零点,β是函数g(x)=xa
x-2008的一个零点,则αβ的值为( )
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224809904494286/SYS201311012248099044942004_ST/images0.png)
A.1
B.2008
C.2008
2D.4016
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已知当
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224809904494286/SYS201311012248099044942003_ST/0.png)
时,函数y=sinx+acosx取最大值,则函数y=asinx-cosx图象的一条对称轴为( )
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224809904494286/SYS201311012248099044942003_ST/1.png)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224809904494286/SYS201311012248099044942003_ST/2.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224809904494286/SYS201311012248099044942003_ST/3.png)
D.
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