已知函f(x)=sin(ωx+φ)(ω>0,|φ|<π)的部分图象如图所示:
(1)求ω,φ的值;
(2)设g(x)=2
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101329391789179/SYS201311031013293917891017_ST/0.png)
f(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101329391789179/SYS201311031013293917891017_ST/1.png)
)f(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101329391789179/SYS201311031013293917891017_ST/2.png)
)-1,当x∈[0,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101329391789179/SYS201311031013293917891017_ST/3.png)
]时,求函数g(x)的值域.
考点分析:
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101329391789179/SYS201311031013293917891016_ST/0.png)
.
(Ⅰ)求ϕ;
(Ⅱ)求函数y=f(x)的单调增区间;
(Ⅲ)证明直线5x-2y+c=0与函数y=f(x)的图象不相切.
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已知△ABC的角A,B,C所对的边分别是a,b,c,设向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101329391789179/SYS201311031013293917891015_ST/0.png)
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=(sinB,sinA),
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=(b-2,a-2).
(1)若
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101329391789179/SYS201311031013293917891015_ST/3.png)
∥
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101329391789179/SYS201311031013293917891015_ST/4.png)
,试判断△ABC的形状并证明;
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101329391789179/SYS201311031013293917891015_ST/5.png)
⊥
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101329391789179/SYS201311031013293917891015_ST/6.png)
,边长c=2,∠C=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101329391789179/SYS201311031013293917891015_ST/7.png)
,求△ABC的面积.
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有以下四个命题:
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②不等式
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101329391789179/SYS201311031013293917891014_ST/0.png)
的解集为{x|x<-5};
③∀x∈[0,π],|sinx|=sinx;
④y=sinx在第一象限单调递增;
其中真命题有
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对于任意实数,[x]表示的整数部分,即[x]是不超过的最大整数.这个函数[x]叫做“取整函数”,则[lg1]+[lg2]+[lg3]+…[lg2011]=
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不等式|x|≥a(x+1)对任意的实数x都成立,则实数a的取值范围是
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