已知函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230934959384502/SYS201311012309349593845016_ST/0.png)
,x∈R.
(1)写出函数的单调减区间、对称轴方程和对称中心;
(2)当
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230934959384502/SYS201311012309349593845016_ST/1.png)
时,求y的取值范围;
(3)说明由y=sinx的图象经过怎样的变换可以得到函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230934959384502/SYS201311012309349593845016_ST/2.png)
的图象.
考点分析:
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)的最小值为-2,其图象相邻最高点与最低点横坐标之差为3π,又图象过点(0,1),则其解析式是
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已知
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,求下列各式的值.
(1)sinx-cosx;
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已知f(x)=sin
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230934959384502/SYS201311012309349593845013_ST/0.png)
(ω>0),f(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230934959384502/SYS201311012309349593845013_ST/1.png)
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230934959384502/SYS201311012309349593845013_ST/2.png)
),且f(x)在区间
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230934959384502/SYS201311012309349593845013_ST/3.png)
上有最小值,无最大值,则ω=
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若
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230934959384502/SYS201311012309349593845012_ST/0.png)
的最小正周期为π,且图象关于直线
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230934959384502/SYS201311012309349593845012_ST/1.png)
对称,则f(x)=
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