题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013746-26706.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013746-96383.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013746-53115.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013746-96392.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013746-51158.jpg)
(I)求点N到平面SBC的距离;
(II)求二面角C-MN-B的大小.
答案
解:(1)取
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013746-74696.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013746-19900.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013747-68993.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013747-12401.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013747-78727.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013747-64692.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013747-97675.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013748-91246.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013748-46182.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013748-33704.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013748-31030.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013749-98451.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013749-39644.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013747-12401.gif)
由题易知
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013749-94632.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013749-39628.gif)
(2)(方法一)在直角三角形
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013749-97910.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013750-69110.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013750-76742.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013750-12830.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013750-11036.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013750-14986.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013751-11775.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013751-65695.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013751-80614.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013751-87652.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013752-45033.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013752-97321.gif)
在三角形
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013752-84035.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013752-88148.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013752-93714.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013753-35194.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013753-62845.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013753-13615.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013753-94188.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013752-97321.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013753-65247.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013754-82343.jpg)
(方法二)过C作
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013754-58880.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013754-62923.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013754-73589.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013754-95063.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013755-86628.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013755-94620.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013755-93514.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013755-26272.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013755-89253.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013756-33142.gif)
设平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013756-24183.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013756-58363.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013756-99884.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013757-27014.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013757-59400.gif)
再设平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013752-84035.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013757-14871.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013757-28789.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013757-25096.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013758-85486.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013758-16442.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013758-60129.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013758-82807.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013752-97321.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013759-90478.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013752-97321.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013759-48278.gif)
解析
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013738-64555.gif)
A.30° | B.60° | C.90![]() | D.120° |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013729-62413.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013729-11245.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013730-46965.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013729-62413.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013729-11245.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013730-68878.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013730-12287.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013730-67900.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013725-98043.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013725-26501.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022013718-52802.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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