题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011052-69529.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011052-30022.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011053-99738.gif)
(1)点P在直线
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011053-56119.gif)
(2)点P在圆
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011053-17451.gif)
答案
| 1 | 2 | 3 | 4 | 5 | 6 |
1 | 2 | 3 | 4 | 5 | 6 | 7 |
2 | 3 | 4 | 5 | 6 | 7 | 8 |
3 | 4 | 5 | 6 | 7 | 8 | 9 |
4 | 5 | 6 | 7 | 8 | 9 | 10 |
5 | 6 | 7 | 8 | 9 | 10 | 11 |
6 | 7 | 8 | 9 | 10 | 11 | 12 |
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011053-56119.gif)
∴P点在直线
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011053-56119.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011053-63682.gif)
(2)在圆内的点P有(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4)(
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011053-68665.gif)
在圆上的点P有 (3,4),(4,3)------------------------------------------------1分
上述共有15个点在圆内或圆外.共有36个点坐标.--------------------------------1分
所以点P在圆
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011053-17451.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011053-23291.gif)
---------------------------------------------------------------------------------------------------共12分
解析
核心考点
试题【(12分).若以连续掷两次骰子分别得到的点数m、n作为点P的坐标,求:(1)点P在直线上的概率;(2)点P在圆外的概率.】;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/20191021/20191021011046-10883.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011046-29038.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011046-99267.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011047-23018.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011047-24696.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011047-64363.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011047-10277.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011047-60057.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011048-48069.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011048-12060.gif)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011047-10277.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011047-60057.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011048-60546.gif)
(2)求出
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011048-88845.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011049-91671.gif)
在边长为5的菱形ABCD中,AC=8。现沿对角线BD把△ABD折起,折起后使∠ADC的余弦值为
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011026-90809.gif)
(I)求证:平面ABD⊥平面CBD;
(II)若M是AB的中点,求折起后AC与平面MCD所成角的一个三角函数值.
如图,在四棱锥P - ABCD中,ΔPCD为等边三角形,四边形ABCD为矩形,平面PDC丄平面ABCD,M,N、E分别是AB,PD,PC的中点,AB =2AD.
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011019-34292.gif)
(I)求证DE丄MN;
(II)求二面角B-PA-D的余弦值.
如图,在多面体
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011005-91716.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011005-65674.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011005-21072.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011005-65674.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011006-35300.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011006-27426.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011006-80464.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011006-85246.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011007-37356.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011007-41940.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011007-37970.jpg)
⑴求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011007-82627.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011007-58964.gif)
⑵求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021011008-80118.gif)
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