题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022336-65571.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022336-82804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022336-37613.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022337-96033.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022337-82193.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022337-42333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022337-70290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022337-99985.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022337-74480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022337-19435.png)
(2)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022337-57309.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022338-19357.png)
解析
试题分析:(1)先证
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022338-42973.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022338-32888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022338-78971.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022338-32888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022337-74480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022338-80264.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022337-74480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022337-19435.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022338-32888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022338-85962.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022339-30355.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022339-91888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022339-23823.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022340-28056.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022340-25158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022340-28056.png)
试题解析:(1)证明:在
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022340-53769.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022337-82193.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022340-37338.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022341-27615.png)
满足
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022341-74436.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022341-75589.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022341-94756.png)
又因为四边形
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022341-57951.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022342-45053.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022342-43151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022338-42973.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022338-32888.png)
又因为
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022342-23522.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022338-32888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022342-27858.png)
又因为四边形
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022343-70764.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022343-19556.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022343-10051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022337-74480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022337-19435.png)
(2)过
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022343-13097.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022338-85962.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022339-30355.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022339-91888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022338-42973.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022338-32888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022344-79847.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022344-10037.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022338-32888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022344-77577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022344-89282.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022339-23823.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022340-28056.png)
又因为
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022345-57347.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022340-28056.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022345-86935.png)
所以,
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022345-32256.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022337-57309.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022345-80235.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022340-37338.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022346-65907.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022346-12520.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022346-66197.png)
在直角
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022346-86262.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022347-94409.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022347-80021.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022347-14318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022347-19568.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022323-59779.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022323-53432.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022323-81441.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022323-38617.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022324-52114.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022324-19180.png)
(2)若平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022324-96600.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022324-56657.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022324-90598.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022325-98860.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022255-62651.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022255-83075.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022255-62651.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022256-72291.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022256-12419.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022256-83661.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022256-27347.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022256-94162.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022256-76582.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022256-30742.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022256-60788.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022257-48292.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022257-34360.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022257-51642.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022257-67765.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022257-58843.png)
(2)求平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022257-86614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022257-63852.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022241-94312.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022241-14534.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022241-55314.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022241-90347.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022242-64336.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022242-94818.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022242-13969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022242-22616.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022243-18248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022243-56877.png)
(Ⅰ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022243-21432.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022243-86894.png)
(Ⅱ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022244-90467.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022244-31979.png)
(Ⅲ)试问在线段
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022244-75110.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022244-49365.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022242-94818.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022242-13969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022244-49365.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022243-86894.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022244-49365.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022225-82926.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022225-43738.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022225-13529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022225-74804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022226-83535.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022226-62045.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022226-60104.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022226-48931.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022227-10301.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022227-94564.png)
(Ⅰ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022227-63284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022227-42578.png)
(Ⅱ)求证:平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022228-33417.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022228-52727.png)
(Ⅲ)求直线
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022228-66786.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022227-42578.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022211-88862.png)
(I)求证:DA⊥平面ABEF;
(Ⅱ)求证:MN∥平面CDFE;
(Ⅲ)在线段FE上是否存在一点P,使得AP⊥MN? 若存在,求出FP的长;若不存在,请说明理由.
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