已知向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225218714298884/SYS201311012252187142988017_ST/0.png)
=(sinx,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225218714298884/SYS201311012252187142988017_ST/1.png)
),
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225218714298884/SYS201311012252187142988017_ST/2.png)
=(2sinx,sinx),设
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225218714298884/SYS201311012252187142988017_ST/3.png)
,
(1)求f(x)的最小正周期及单调递增区间;
(2)若
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225218714298884/SYS201311012252187142988017_ST/4.png)
,求f(x)的值域;
(3)若f(x)的图象按
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225218714298884/SYS201311012252187142988017_ST/5.png)
=(t,0)作长度最短的平移后,其图象关于原点对称,求
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225218714298884/SYS201311012252187142988017_ST/6.png)
的坐标.
考点分析:
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已知
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225218714298884/SYS201311012252187142988015_ST/0.png)
,
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,且
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,∠AOB=60°,
(1)求
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225218714298884/SYS201311012252187142988015_ST/3.png)
,
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;
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225218714298884/SYS201311012252187142988015_ST/5.png)
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225218714298884/SYS201311012252187142988015_ST/6.png)
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若O为△ABC内一点,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225218714298884/SYS201311012252187142988014_ST/0.png)
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225218714298884/SYS201311012252187142988014_ST/1.png)
,则λ=
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函数y=log
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225218714298884/SYS201311012252187142988013_ST/0.png)
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在等差数列{a
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225218714298884/SYS201311012252187142988012_ST/0.png)
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