题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120042-46615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120042-79489.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120042-87316.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120042-46615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120042-53896.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120043-35711.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120043-35452.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120043-50801.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120043-63706.png)
解析
试题分析:本题主要考查线线平行、线面平行、面面平行、四棱锥的体积等基础知识,考查学生的空间想象能力、逻辑推理能力、计算能力.第一问,由于ABCD是菱形,得到
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120044-96333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120044-82328.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120044-96357.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120044-21541.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120044-43092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120045-37818.png)
试题解析:证明:(1)由
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120045-34275.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120045-22132.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120045-98296.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120046-68466.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120046-88063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120046-42950.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120046-75334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120047-74517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120047-34317.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120043-35711.png)
(2)连接
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120047-59100.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120047-55004.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120045-34275.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120047-93029.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120042-87316.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120042-46615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120048-56827.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120048-92408.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120048-30298.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120048-39941.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120044-21541.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120044-43092.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120045-34275.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120049-36446.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120049-66913.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120049-19430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120049-23762.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120049-20810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120050-45142.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120050-49214.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120036-11777.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120036-72503.jpg)
(1)证明:PQ⊥平面DCQ;
(2)求棱锥QABCD的体积与棱锥PDCQ的体积的比值.
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120031-60117.png)
A.18![]() | B.36![]() | C.9![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120017-78940.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120017-45798.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120018-62282.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120018-10036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120018-28377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120018-39932.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120018-52521.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120019-76022.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120019-23196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120019-50210.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120019-62238.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120018-62282.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120020-62139.png)
(1)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120020-81101.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120020-78529.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120020-42760.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120021-64200.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120021-32934.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120021-27338.png)
(3)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120021-20309.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120022-65481.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021120022-30003.png)
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