设函数f(x)=(sinωx+cosωx)
2+2cos
2ωx(ω>0)的最小正周期为
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230856715343989/SYS201311012308567153439017_ST/0.png)
.
(Ⅰ)求ω的值;
(Ⅱ)若函数y=g(x)的图象是由y=f(x)的图象向右平移
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230856715343989/SYS201311012308567153439017_ST/1.png)
个单位长度得到,求y=g(x)的单调增区间.
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已知向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230856715343989/SYS201311012308567153439016_ST/0.png)
=(sinθ,cosθ-2sinθ),
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230856715343989/SYS201311012308567153439016_ST/1.png)
=(1,2).
(1)若
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230856715343989/SYS201311012308567153439016_ST/2.png)
,求tanθ的值;
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230856715343989/SYS201311012308567153439016_ST/3.png)
,求θ的值.
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如图所示,已知O为平行四边形ABCD内一点,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230856715343989/SYS201311012308567153439015_ST/0.png)
=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230856715343989/SYS201311012308567153439015_ST/1.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230856715343989/SYS201311012308567153439015_ST/2.png)
=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230856715343989/SYS201311012308567153439015_ST/3.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230856715343989/SYS201311012308567153439015_ST/4.png)
=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230856715343989/SYS201311012308567153439015_ST/5.png)
,则
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230856715343989/SYS201311012308567153439015_ST/6.png)
=______
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已知定义域为R的函数f(x)=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230844038904944/SYS201311012308440389049021_ST/0.png)
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(Ⅲ)若对任意的t∈R,不等式f(t
2-2t)+f(2t
2-k)<0恒成立,求k的取值范围.
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已知
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230844038904944/SYS201311012308440389049020_ST/0.png)
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(1)求f(x)的定义域;
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