如图所示,四棱锥V-ABCD的底面为边长等于2 cm的正方形,顶点V与底面正方形中心的连线为棱锥的高,侧棱长VC=4 cm,求这个四棱锥的体积.
![](https://img.xkw.com/dksih/QBM/2017/11/30/1828554686930944/1831123320291329/STEM/7f3b56154b984df29b9236613ec20e18.png?resizew=117)
更新时间:2017-12-04 12:12:50
|
【知识点】 锥体体积的有关计算
相似题推荐
解答题-问答题
|
较易
(0.85)
名校
解题方法
【推荐1】1.长方体
中,
,
,过
,
,
三点的平面截去长方体的一个角后,得到如下图所示的几何体
.
![](https://img.xkw.com/dksih/QBM/2021/11/15/2851928473346048/2853475952369664/STEM/18766479575c498a9b12c72fc10e99b5.png?resizew=275)
(1)求几何体
的体积;
(2)求点
到平面
的距离
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f121eabff3c62c1a196d9ca5f6f83f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d927585a17c2e98ef7d5a9589a26ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52eab6de89f4d4e69650e94e0968744.png)
![](https://img.xkw.com/dksih/QBM/2021/11/15/2851928473346048/2853475952369664/STEM/18766479575c498a9b12c72fc10e99b5.png?resizew=275)
(1)求几何体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52eab6de89f4d4e69650e94e0968744.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6795cae2df43a722e1355e9562d93c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9539f8fb13345b449274b67bbda995db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
您最近一年使用:0次
解答题-问答题
|
较易
(0.85)
解题方法
【推荐2】如图,四棱锥
中,底面ABCD为矩形,
平面ABCD,
,E、F分别为AD、SC的中点,且
平面SBC.
![](https://img.xkw.com/dksih/QBM/2022/4/19/2961692085477376/2963202800328704/STEM/3e5e23d1f64e4ce7831d695cdd3c9446.png?resizew=253)
(1)求AB;
(2)若
,求点E到平面SCD的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c83f8945042b9c8fb2fbdac9308d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1804c3641953c30ccf750504eff6577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a5f445af1ae136773cb338920552ff2.png)
![](https://img.xkw.com/dksih/QBM/2022/4/19/2961692085477376/2963202800328704/STEM/3e5e23d1f64e4ce7831d695cdd3c9446.png?resizew=253)
(1)求AB;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cde654b8bf0fb3f49acb19a8f4a1e48f.png)
您最近一年使用:0次