已知函数f(x)=2sinωxcosωx-2cos
2ωx(x∈R,ω>0),相邻两条对称轴之间的距离等于
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183557596392586/SYS201310241835575963925020_ST/0.png)
.
(Ⅰ)求
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183557596392586/SYS201310241835575963925020_ST/1.png)
的值;
(Ⅱ)当
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183557596392586/SYS201310241835575963925020_ST/2.png)
时,求函数f(x)的最大值和最小值及相应的x值.
考点分析:
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将函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183557596392586/SYS201310241835575963925019_ST/0.png)
的图象向右平移a(a>0)个单位,所得图象的函数为偶函数,则a的最小值为 ( )
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183557596392586/SYS201310241835575963925019_ST/1.png)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183557596392586/SYS201310241835575963925019_ST/2.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183557596392586/SYS201310241835575963925019_ST/3.png)
D.
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[理科]观察下列式子:
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183557596392586/SYS201310241835575963925018_ST/0.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183557596392586/SYS201310241835575963925018_ST/1.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183557596392586/SYS201310241835575963925018_ST/2.png)
,…,可以猜想结论为( )
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183557596392586/SYS201310241835575963925018_ST/3.png)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183557596392586/SYS201310241835575963925018_ST/4.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183557596392586/SYS201310241835575963925018_ST/5.png)
D.
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关于x、y的二元一次方程组
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183557596392586/SYS201310241835575963925017_ST/0.png)
的系数行列式D=0是该方程组有解的( )
A.充分非必要条件
B.必要非充分条件
C.充分且必要条件
D.既非充分也非必要条件
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已知α,β为不重合的两个平面,直线m⊂α,那么“m⊥β”是“α⊥β”的( )
A.充分而不必要条件
B.必要而不充分条件
C.充分必要条件
D.既不充分也不必要条件
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对于函数①
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183557596392586/SYS201310241835575963925015_ST/0.png)
,②
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183557596392586/SYS201310241835575963925015_ST/1.png)
,③f(x)=cos(x+2)-cosx,
判断如下两个命题的真假:命题甲:f(x)在区间(1,2)上是增函数;命题乙:f(x)在区间(0,+∞)上恰有两个零点x
1,x
2,且x
1x
2<1.能使命题甲、乙均为真的函数的序号是
.
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