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已知函数(ω>0)和g(x)=3cos(2x+φ)的图象的对称中心完全相同,若,...
已知函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101222810864541163/SYS201311012228108645411003_ST/0.png)
(ω>0)和g(x)=3cos(2x+φ)的图象的对称中心完全相同,若
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,则f(x)的取值范围是( )
A.
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B.[-3,3]
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101222810864541163/SYS201311012228108645411003_ST/3.png)
D.
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考点分析:
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下列有关命题的说法正确的是( )
A.命题“若x
2=1,则x=1”的否命题为:“若x
2=1,则x≠1”
B.“x=-1”是“x
2-5x-6=0”的必要不充分条件
C.命题“∃x∈R,使得x
2+x+1<0”的否定是:“∀x∈R,均有x
2+x+1<0”
D.命题“若x=y,则sinx=siny”的逆否命题为真命题
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若复数
2(i为虚数单位)是纯虚数,则实数a=( )
A.±1
B.-1
C.0
D.1
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集合P={-1,0,1},Q={y|y=cosx,x∈R},则P∩Q=( )
A.P
B.Q
C.{-1,1}
D.[0,1]
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已知数列{a
n}满足:a
1=1,a
n+1=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101222810864392262/SYS201311012228108643922020_ST/0.png)
,记b
n=a
2n(n∈N*),S
n为数列{b
n}的前n项和.
(Ⅰ)证明数列{b
n}为等比数列,并求其通项公式;
(Ⅱ)若对任意n∈N*且n≥2,不等式λ≥1+s
n-1恒成立,求实数λ的取值范围;
(Ⅲ)令c
n=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101222810864392262/SYS201311012228108643922020_ST/1.png)
,证明:c
n≤
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101222810864392262/SYS201311012228108643922020_ST/2.png)
(n∈N*).
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已知椭圆
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101222810864392262/SYS201311012228108643922019_ST/0.png)
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101222810864392262/SYS201311012228108643922019_ST/1.png)
=1的上、下焦点分别为N、M,若动点P满足
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101222810864392262/SYS201311012228108643922019_ST/2.png)
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101222810864392262/SYS201311012228108643922019_ST/3.png)
=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101222810864392262/SYS201311012228108643922019_ST/4.png)
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,
(1)求动点P的轨迹C的方程;
(2)过点N作直线l与点P的轨迹C交于点A、B,分别以A、B为切点作曲线C的切线,其交点为Q,求
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101222810864392262/SYS201311012228108643922019_ST/6.png)
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的值.
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