若
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,且π<x<2π,则x等于( )
A.
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B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300338109731/SYS201311012233003381097004_ST/2.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300338109731/SYS201311012233003381097004_ST/3.png)
D.
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考点分析:
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对于函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300338109731/SYS201311012233003381097003_ST/0.png)
,下列判断正确的是( )
A.周期为2π的奇函数
B.周期为
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的奇函数
C.周期为π的偶函数
D.周期为2π的偶函数
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已知
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300338109731/SYS201311012233003381097002_ST/0.png)
=(0,1)、
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=(0,3),把向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300338109731/SYS201311012233003381097002_ST/2.png)
绕点A逆时针旋转90°得到向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300338109731/SYS201311012233003381097002_ST/3.png)
,则向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300338109731/SYS201311012233003381097002_ST/4.png)
等于( )
A.(-2,1)
B.(-2,0)
C.(3,4)
D.(3,1)
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下列四个等式中,①cos(360°+300°)=cos300°;②cos(180°-300°)=cos300°;③cos(180°+300°)=-cos300°;④cos(360°-300°)=cos300°,其中正确的等式有( )
A.1个
B.2个
C.3个
D.4个
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下列说法中,正确的是( )
A.第二象限的角是钝角
B.第三象限的角必大于第二象限的角
C.-831°是第二象限角
D.-95°20′,984°40′,264°40′是终边相同的角
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已知函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300337964741/SYS201311012233003379647023_ST/0.png)
(1)当a=0时,求函数f(x)的单调递增区间;
(2)若∃x∈[1,3],使f(x)<(x+1)Inx成立,求实数a的取值范围;
(3)若函数f(x)的图象在区间(1,+∞)内恒在直线y=2ax下方,求实数a的取值范围.
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