设函数f(x)=3sin(2x+φ),φ∈(-π,0),y=f(x)图象的一条对称轴是直线
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905021_ST/0.png)
(1)求φ;
(2)求y=f(x)的减区间;
(3)当
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905021_ST/1.png)
时求y=f(x)的值域.
考点分析:
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已知向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905020_ST/0.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905020_ST/1.png)
(O为坐标原点).
(1)若
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905020_ST/2.png)
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(2)若O、A、B三点能构成三角形,求实数m应满足的条件.
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已知
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905019_ST/0.png)
,
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.
(1)若
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905019_ST/2.png)
∥
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905019_ST/3.png)
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905019_ST/4.png)
;
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905019_ST/5.png)
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905019_ST/6.png)
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.
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905018_ST/2.png)
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=(1,2),要使|
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905016_ST/2.png)
+t
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|最小,则实数t的值为
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