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幂函数y=f(x)的图象过点(3,27),则y=f(x)的解析式为 .
幂函数y=f(x)的图象过点(3,27),则y=f(x)的解析式为 .
考点分析:
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关于函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102538109168344/SYS201311031025381091683011_ST/0.png)
(x∈R),有下列命题:
①y=f(x)可改写为
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102538109168344/SYS201311031025381091683011_ST/1.png)
;
②y=f(x)是2π为最小正周期的周期函数;
③y=f(x)图象关于点(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102538109168344/SYS201311031025381091683011_ST/2.png)
,0)对称;
④y=f(x)图象关于点直线
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102538109168344/SYS201311031025381091683011_ST/3.png)
对称.
其中正确命题的序号是( )
A.①③④
B.③④
C.①④
D.①③
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函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102538109168344/SYS201311031025381091683010_ST/0.png)
的单调减区间是( )
A.[
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102538109168344/SYS201311031025381091683010_ST/1.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102538109168344/SYS201311031025381091683010_ST/2.png)
](k∈Z)
B.[
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102538109168344/SYS201311031025381091683010_ST/3.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102538109168344/SYS201311031025381091683010_ST/4.png)
](k∈Z)
C.[
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102538109168344/SYS201311031025381091683010_ST/5.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102538109168344/SYS201311031025381091683010_ST/6.png)
](k∈Z)
D.[
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102538109168344/SYS201311031025381091683010_ST/7.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102538109168344/SYS201311031025381091683010_ST/8.png)
](k∈Z)
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已知角α终边上一点的坐标为(sin3,-cos3),则角α所在象限是( )
A.第一象限
B.第二象限
C.第三象限
D.第四象限
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函数y=cos
2x-3cosx+2的最小值为( )
A.2
B.0
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102538109168344/SYS201311031025381091683008_ST/0.png)
D.6
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在函数y=|cosx|,y=|sin2x|,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102538109168344/SYS201311031025381091683007_ST/0.png)
,y=-cos2x,y=|sinx|中,既是以π为最小正周期,又在[0,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102538109168344/SYS201311031025381091683007_ST/1.png)
]上单调递增的个数是( )
A.1
B.2
C.3
D.4
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