设全集U=R,集合A={x|-1≤x<3},B={x|2x-4≥x-2}.
(1)求∁
U(A∩B);
(2)若集合C={x|2x+a>0},满足B∪C=C,求实数a的取值范围.
考点分析:
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关于下列命题:
①函数y=tanx在第一象限是增函数;
②函数y=cos
2(
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-x)是偶函数;
③函数y=4sin(2x-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224910278289559/SYS201311012249102782895013_ST/1.png)
)的一个对称中心是(
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,0);
④函数y=sin(x+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224910278289559/SYS201311012249102782895013_ST/3.png)
)在闭区间[
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]上是增函数.
写出所有正确的命题的题号:
.
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函数
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,则f(-2)=
,f[f(-2)]=
.
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若函数f(x)的定义域是[-2,2],则函数y=f(x+1)的定义域是
.
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若
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224910278289559/SYS201311012249102782895010_ST/0.png)
是幂函数,则该函数的值域是
.
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函数y=cos(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224910278289559/SYS201311012249102782895009_ST/0.png)
-2x)的单调递增区间是( )
A.[kπ+
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,kπ+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224910278289559/SYS201311012249102782895009_ST/2.png)
π]
B.[kπ-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224910278289559/SYS201311012249102782895009_ST/3.png)
π,kπ+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224910278289559/SYS201311012249102782895009_ST/4.png)
]
C.[2kπ+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224910278289559/SYS201311012249102782895009_ST/5.png)
,2kπ+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224910278289559/SYS201311012249102782895009_ST/6.png)
π]
D.[2kπ-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224910278289559/SYS201311012249102782895009_ST/7.png)
π,2kπ+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224910278289559/SYS201311012249102782895009_ST/8.png)
](以上k∈Z)
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