题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022818-30969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022818-15875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022818-83232.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022818-26244.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022818-15875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022818-21794.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022818-17983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022819-57059.png)
(Ⅰ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022819-46475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022819-75528.png)
(Ⅱ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022819-11385.png)
(Ⅲ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022819-63436.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022819-91768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022819-75528.png)
答案
解析
试题分析:(Ⅰ)由底面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022818-15875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022819-46475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022819-28272.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022819-46475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022819-75528.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022820-23198.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022818-15875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022819-11385.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022819-63436.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022820-19162.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022820-27789.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022818-26244.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022818-15875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022820-39797.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022819-91768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022819-75528.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022820-27789.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022820-78337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022821-53639.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022821-89678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022819-91768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022819-75528.png)
试题解析:解:(Ⅰ)因为底面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022818-15875.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022819-46475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022819-28272.png)
又因为
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022821-31901.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022819-75528.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022819-46475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022819-75528.png)
(Ⅱ)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022821-70160.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022818-21794.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022818-17983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022821-40856.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022820-78337.png)
因为平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022821-77363.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022818-15875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022821-56934.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022818-15875.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022822-90225.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022822-83599.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022819-75528.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022820-23198.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022818-15875.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022822-78191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022818-15875.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022822-23341.png)
(Ⅲ)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022823-83016.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022818-21794.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022818-17983.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022820-27789.png)
由(Ⅱ)可得
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022820-78337.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022821-53639.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022821-89678.png)
又因为
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022823-34510.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022823-44310.png)
所以平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022821-77363.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022821-89678.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022806-29274.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022806-62282.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022759-36892.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022759-70155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022759-31582.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022800-14403.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022800-84855.png)
A.①③ | B.①④ | C.②③ | D.②④ |
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022752-10609.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022753-18517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022753-98180.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022753-18517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022753-88856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022753-12345.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022754-79089.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022740-75403.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022740-10870.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022740-13980.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022741-32691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022741-23270.png)
(1)求证:直线
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022741-75686.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022741-23549.png)
(2)求证:平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022742-84338.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022742-33506.png)
(3)求
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022742-94800.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022742-33506.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022720-95268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022720-86642.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022720-96143.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022721-41823.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022721-41823.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022721-26146.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022721-82425.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022722-51406.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022722-39168.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022722-20488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022722-71427.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022723-72003.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022723-69359.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022723-70232.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022723-77887.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022724-51383.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022724-17036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022724-10885.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022723-72003.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022723-69359.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022723-70232.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022723-77887.png)
(2)求证:平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022724-78051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022725-95410.png)
(3)求异面直线
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022722-39168.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106022725-14818.png)
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