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复数z满足,则=( ) A.1+3i B.3-i C. D.
复数z满足
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212110589001211/SYS201310232121105890012001_ST/0.png)
,则
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212110589001211/SYS201310232121105890012001_ST/1.png)
=( )
A.1+3i
B.3-i
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212110589001211/SYS201310232121105890012001_ST/2.png)
D.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212110589001211/SYS201310232121105890012001_ST/3.png)
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已知A={x=|x≤1},B={x|0<x<4},则,A∩B=( )
A.{x|x<4}
B.{x|0<x≤1}
C.{x|0<x<4}
D.{x|1<x<4}
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在数列{a
n}中,a
1=0,且对任意k∈N
*,a
2k-1,a
2k,a
2k+1成等差数列,其公差为2k.
(Ⅰ)证明a
4,a
5,a
6成等比数列;
(Ⅱ)求数列{a
n}的通项公式;
(Ⅲ)记
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212110588997934/SYS201310232121105889979021_ST/0.png)
,证明
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212110588997934/SYS201310232121105889979021_ST/1.png)
.
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已知椭圆
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212110588997934/SYS201310232121105889979020_ST/0.png)
(a>b>0)的离心率e=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212110588997934/SYS201310232121105889979020_ST/1.png)
,连接椭圆的四个顶点得到的菱形的面积为4.
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(Ⅱ)设直线l与椭圆相交于不同的两点A、B,已知点A的坐标为(-a,0).
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212110588997934/SYS201310232121105889979020_ST/2.png)
,求直线l的倾斜角;
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212110588997934/SYS201310232121105889979020_ST/3.png)
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已知函数f(x)=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212110588997934/SYS201310232121105889979019_ST/0.png)
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212110588997934/SYS201310232121105889979019_ST/1.png)
上,f(x)>0恒成立,求a的取值范围.
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如图,在五面体EF-ABCD中,四边形ADEF是正方形,FA⊥平面ABCD,BC∥AD,CD=l,AD=2
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023212110588997934/SYS201310232121105889979018_ST/0.png)
,∠BAD=∠CDA=45°.
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②证明:CD⊥平面ABF;
③求二面角B-EF-A的正切值.
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