名校
解题方法
1 . 已知两个四棱锥
与
的公共底面是边长为
的正方形,顶点
、
在底面的同侧,棱锥的高
,
、
分别为
、
的中点,
与
交于点
,
与
交于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/9/65518c8f-5d79-4566-aeda-8056240274cd.png?resizew=241)
(1)求证:点
为线段
的中点;
(2)求这两个棱锥的公共部分的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfc1a3c6cdaaad529bcf7d0d2830cff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b72b190184f3dfdf8d5f627b60213c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5692e2bfcd3f8638404bf0fc8ef7264a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b608ac8c1cd8f774c5ce066891919fed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3de68627f7f3d7f81b61bf743f311ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c663c62644f563a01d5ae7b8c4d4c350.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9019a986b3ba5fcefced99c566b5329c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/9/65518c8f-5d79-4566-aeda-8056240274cd.png?resizew=241)
(1)求证:点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3de68627f7f3d7f81b61bf743f311ea.png)
(2)求这两个棱锥的公共部分的体积.
您最近一年使用:0次