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将锐角∠QMN=60°,边长MN=a的菱形MNPQ沿对角线NQ折成60°的二面角...
将锐角∠QMN=60°,边长MN=a的菱形MNPQ沿对角线NQ折成60°的二面角,则MP与NQ间的距离等于( )
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224724376906282/SYS201311012247243769062009_ST/0.png)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224724376906282/SYS201311012247243769062009_ST/1.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224724376906282/SYS201311012247243769062009_ST/2.png)
D.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224724376906282/SYS201311012247243769062009_ST/3.png)
考点分析:
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如图,在棱长为2的正方体ABCD-A
1B
1C
1D
1中,O是底面ABCD的中心,E、F分别是CC
1、AD的中点,那么异面直线OE和FD
1所成的角的余弦值等于( )
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224724376906282/SYS201311012247243769062008_ST/images0.png)
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224724376906282/SYS201311012247243769062008_ST/0.png)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224724376906282/SYS201311012247243769062008_ST/1.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224724376906282/SYS201311012247243769062008_ST/2.png)
D.
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设
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224724376906282/SYS201311012247243769062007_ST/0.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224724376906282/SYS201311012247243769062007_ST/1.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224724376906282/SYS201311012247243769062007_ST/2.png)
是任意的非零向量,且相互不共线,下列命题:
(1)
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224724376906282/SYS201311012247243769062007_ST/3.png)
,
(2)
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224724376906282/SYS201311012247243769062007_ST/4.png)
,
(3)
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224724376906282/SYS201311012247243769062007_ST/5.png)
不与
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224724376906282/SYS201311012247243769062007_ST/6.png)
垂直,
(4)
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224724376906282/SYS201311012247243769062007_ST/7.png)
.
其中正确的命题有( )
A.(1)(2)
B.(2)(3)
C.(3)(4)
D.(2)(4)
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已知m、n是不重合的直线,α、β是不重合的平面,有下列命题:
①若m⊂α,n∥α,则m∥n;
②若m∥α,m∥β,则α∥β;
③若α∩β=n,m∥n,则m∥α且m∥β;
④若m⊥α,m⊥β,则α∥β.
其中真命题的个数是( )
A.0
B.1
C.2
D.3
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已知圆的方程为x
2+y
2=1,把圆上各点的横坐标伸长到原来的2倍,纵坐标不变,得到一椭圆,则以该椭圆的焦点为顶点、顶点为焦点的双曲线方程为( )
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224724376906282/SYS201311012247243769062005_ST/0.png)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224724376906282/SYS201311012247243769062005_ST/1.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224724376906282/SYS201311012247243769062005_ST/2.png)
D.
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P是抛物线y=2x
2上一点,且P到抛物线焦点的距离为1,则点P的横坐标是( )
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224724376906282/SYS201311012247243769062004_ST/0.png)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224724376906282/SYS201311012247243769062004_ST/1.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224724376906282/SYS201311012247243769062004_ST/2.png)
D.
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