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设函数f(x)=x()x+,A为坐标原点,A为函数y=f(x)图象上横坐标为n(...
设函数f(x)=x(
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)
x+
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,A
为坐标原点,A为函数y=f(x)图象上横坐标为n(n∈N
*) 的点,向量
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=
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100658723395571/SYS201311031006587233955009_ST/4.png)
,向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100658723395571/SYS201311031006587233955009_ST/5.png)
=(1,0),设θn为向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100658723395571/SYS201311031006587233955009_ST/6.png)
与向量
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的夹角,满足
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tanθ
k<
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的最大整数n是( )
A.2
B.3
C.4
D.5
考点分析:
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D.
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已知函数f(x)=cosx(x∈(0,2π))有两个不同的零点x
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2,方程f(x)=m有两个不同的实根x
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4.若把这四个数按从小到大排列构成等差数列,则实数m的值为( )
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100658723395571/SYS201311031006587233955007_ST/0.png)
B.
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C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100658723395571/SYS201311031006587233955007_ST/2.png)
D.
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如图是函数y=sin(ωx+φ)的图象的一部分,A,B是图象上的一个最高点和一个最低点,O为坐标原点,则
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的值为( )
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100658723395571/SYS201311031006587233955006_ST/images1.png)
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100658723395571/SYS201311031006587233955006_ST/1.png)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100658723395571/SYS201311031006587233955006_ST/2.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100658723395571/SYS201311031006587233955006_ST/3.png)
D.
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若sin2x、sinx分别是sinθ与cosθ的等差中项和等比中项,则cos2x的值为:( )
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100658723395571/SYS201311031006587233955005_ST/0.png)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100658723395571/SYS201311031006587233955005_ST/1.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100658723395571/SYS201311031006587233955005_ST/2.png)
D.
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已知各项均不为零的数列{a
n},定义向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100658723395571/SYS201311031006587233955004_ST/0.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100658723395571/SYS201311031006587233955004_ST/1.png)
,n∈N
*.下列命题中真命题是( )
A.若∀n∈N
*总有
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100658723395571/SYS201311031006587233955004_ST/2.png)
∥
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100658723395571/SYS201311031006587233955004_ST/3.png)
成立,则数列{a
n}是等差数列
B.若∀n∈N
*总有
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100658723395571/SYS201311031006587233955004_ST/4.png)
∥
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100658723395571/SYS201311031006587233955004_ST/5.png)
成立,则数列{a
n}是等比数列
C.若∀n∈N
*总有
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100658723395571/SYS201311031006587233955004_ST/6.png)
⊥
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100658723395571/SYS201311031006587233955004_ST/7.png)
成立,则数列{a
n}是等差数列
D.若∀n∈N
*总有
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100658723395571/SYS201311031006587233955004_ST/8.png)
⊥
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100658723395571/SYS201311031006587233955004_ST/9.png)
成立,则数列{a
n}是等比数列
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