题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015840-77741.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015841-69319.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015841-55928.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015841-69319.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015841-52773.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015841-44117.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015841-69319.png)
A.直线 | B.圆 | C.抛物线 | D.双曲线 |
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015842-61112.png)
答案
解析
分析:由线C1D1垂直平面BB1C1C,分析出|PC1|就是点P到直线C1D1的距离,则动点P满足抛物线定义,问题解决.
解答:解:由题意知,直线C1D1⊥平面BB1C1C,则C1D1⊥PC1,即|PC1|就是点P到直线C1D1的距离,
那么点P到直线BC的距离等于它到点C的距离,所以点P的轨迹是抛物线.
故选C.
点评:本题考查抛物线定义及线面垂直的性质.
核心考点
试题【如图,在正方体中,是侧面内一动点,若到直线与直线的距离相等,则动点的轨迹所在的曲线是A.直线B.圆C.抛物线D.双曲线】;主要考察你对空间几何体的结构特征等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015831-81219.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015831-73199.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015832-49116.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015832-20765.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015832-65055.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015832-85154.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015832-38203.gif)
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015833-37588.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015833-24336.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015833-37588.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015833-92439.gif)
(2)求点
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015833-37746.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015833-92439.gif)
(3)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015834-57985.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015834-35144.gif)
如图,三棱锥
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015818-99084.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015818-64643.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015818-67098.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015819-77873.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015819-73383.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015819-26289.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015819-46317.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015819-49798.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015820-53438.jpg)
(1) 求证:侧面
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015820-38160.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015820-96650.gif)
(2) 求点
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015820-57771.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015820-79943.gif)
(3) 求异面直线
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015821-93372.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015821-89634.gif)
已知:如图,长方体
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015759-29881.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015759-65835.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015759-13997.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015759-42987.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015800-42735.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015800-16387.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015800-79633.gif)
(1) 求异面直线
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015800-65121.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015800-15978.gif)
(2) 证明
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015801-15334.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015801-51214.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015801-19446.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015801-25322.gif)
(3) 求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015802-58907.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015802-58678.gif)
如图,在四棱锥P-ABCD中,底面ABCD是矩形,M、N分别为PA、BC的中点, PD⊥平面ABCD,且PD=AD=
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015740-44880.gif)
(Ⅰ)证明:MN∥平面PCD;
(Ⅱ)证明:MC⊥BD;
(Ⅲ)求二面角A—PB—D的余弦值.
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015740-14036.jpg)
如图, 在四棱锥
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015730-87602.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015730-22404.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015730-69680.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015731-73432.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015731-63033.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015731-85558.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015731-13909.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015731-94619.gif)
=1:2:2.
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015731-73227.jpg)
(1) 求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015731-60002.gif)
(2) 若
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015731-74084.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015732-37590.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015731-73432.gif)
(3) 若平面
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015732-95809.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015732-68247.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015732-11015.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021015732-65997.gif)
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