函数f(x)=x3-3x,x∈[-1,3]的最大值为 .
考点分析:
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为了调查城市PM2.5的值,按地域把36个城市分成甲、乙、丙三组,对应的城市数分别为6,12,18.若用分层抽样的方法抽取12个城市,则乙组中应抽取的城市数为
.
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已知集合
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025124224241191684/SYS201310251242242411916001_ST/0.png)
,B={0,1,2},若A⊆B,则x=
.
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复数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025124224241191684/SYS201310251242242411916000_ST/0.png)
在复平面上对应的点的坐标是
.
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已知函数f(x)=x
2-ax,g(x)=lnx.
(1)若f(x)≥g(x)对于定义域内的任意x恒成立,求实数a的取值范围;
(2)设h(x)=f(x)+g(x)有两个极值点x
1,x
2,且
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025124224241189796/SYS201310251242242411897020_ST/0.png)
,证明:
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025124224241189796/SYS201310251242242411897020_ST/1.png)
;
(3)设
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025124224241189796/SYS201310251242242411897020_ST/2.png)
对于任意的a∈(1,2),总存在
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025124224241189796/SYS201310251242242411897020_ST/3.png)
,使不等式r(x)>k(1-a
2)成立,求实数k的取值范围.
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在数列{a
n}中,a
1=0,且对任意k∈N
*,a
2k-1,a
2k,a
2k+1成等差数列,其公差为2k.
(Ⅰ)证明a
4,a
5,a
6成等比数列;
(Ⅱ)求数列{a
n}的通项公式;
(Ⅲ)记
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025124224241189796/SYS201310251242242411897019_ST/0.png)
,证明
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025124224241189796/SYS201310251242242411897019_ST/1.png)
.
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