已知复数z
1=cosx+i,z
2=1+sinx•i(i是虚数单位),且
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183014176771609/SYS201310241830141767716017_ST/0.png)
.当实数x∈(-2π,2π)时,试用列举法表示满足条件的x的取值集合P.
考点分析:
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设数列{a
n}的前n项和为S
n,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183014176771609/SYS201310241830141767716016_ST/0.png)
.对任意n∈N
*,向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183014176771609/SYS201310241830141767716016_ST/1.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183014176771609/SYS201310241830141767716016_ST/2.png)
满足
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183014176771609/SYS201310241830141767716016_ST/3.png)
⊥
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183014176771609/SYS201310241830141767716016_ST/4.png)
,求
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183014176771609/SYS201310241830141767716016_ST/5.png)
.
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现有两个命题:
(1)若lgx+lgy=lg(x+y),且不等式y>-2x+t恒成立,则t的取值范围是集合P;
(2)若函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183014176771609/SYS201310241830141767716015_ST/0.png)
,x∈(1,+∞)的图象与函数g(x)=-2x+t的图象没有交点,则t的取值范围是集合Q;
则以下集合关系正确的是( )
A.P⊊Q
B.Q⊊P
C.P=Q
D.P∩Q=∅
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在△ABC中,“cosA=2sinBsinC”是“△ABC为钝角三角形”的( )
A.必要非充分条件
B.充分非必要条件
C.充要条件
D.既非充分又非必要条件
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若n∈N
*,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183014176771609/SYS201310241830141767716013_ST/0.png)
(a
n、b
n∈z),a
5+b
5=( )
A.32
B.50
C.70
D.120
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以下向量中,能成为以行列式形式表示的直线方程
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183014176771609/SYS201310241830141767716012_ST/0.png)
的一个法向量的是( )
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183014176771609/SYS201310241830141767716012_ST/1.png)
=(-1,-2)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183014176771609/SYS201310241830141767716012_ST/2.png)
=(2,1)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183014176771609/SYS201310241830141767716012_ST/3.png)
=(1,-2)
D.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183014176771609/SYS201310241830141767716012_ST/4.png)
=(-2,1)
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