设P为椭圆
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225142569472097/SYS201311012251425694720017_ST/0.png)
上的一个点,过点P作椭圆的切线与⊙O:x
2+y
2=12相交于M,N两点,⊙O在M,N两点处的切线相交于点Q.(1)若点P坐标为
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225142569472097/SYS201311012251425694720017_ST/1.png)
,求直线MN的方程.(2)若P为椭圆上的一个动点,求点Q的轨迹方程.
考点分析:
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一个多面体的直观图及三视图如图所示:(其中M,N分别是AF,BC的中点).
(1)求证:MN∥平面CDEF;
(2)求多面体A-CDEF的体积.
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在半径为R的圆的内接四边形ABCD中,AB=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225142569472097/SYS201311012251425694720015_ST/0.png)
,BC=
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,
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,且△ACD的面积等于△ABC面积的3倍,求:
(1)圆的半径R;
(2)
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的值;
(3)四边形ABCD的周长.
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已知集合A={x|x
2-2x-8≤0,x∈R},B={x|x
2-(2m-3)x+m
2-3m≤0,x∈R,m∈R }.
(1)若A∩B=[2,4],求实数m的值;
(2)设全集为R,若A⊆∁
RB,求实数m的取值范围.
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圆锥的轴截面SAB是边长为2的等边三角形,O为底面中心,M为SO的中点,动点P在圆锥底面内(包括圆周).若AM⊥MP,则P点形成的轨迹的长度为
.
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若函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225142569472097/SYS201311012251425694720012_ST/0.png)
的图象在x=0处的切线l与圆C:x
2+y
2=1相离,则点P(a,b)与圆C的位置关系是
.
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