20-21高一下·浙江·期末
1 . 如图,长方体
的体积是24,E为
的中点,平面
将长方体分成三棱锥
和多面体
两部分.
![](https://img.xkw.com/dksih/QBM/2021/5/19/2724641678548992/2724972534513664/STEM/840dbb90-6614-41b2-9c43-a50251228226.png?resizew=194)
(1)若
,求多面体
的表面积;
(2)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65277734669566578cbb7d690bb200fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42020cfacd62b300cad053981bab9e0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acf0a380b836b0e3b7ad0fe838860a9a.png)
![](https://img.xkw.com/dksih/QBM/2021/5/19/2724641678548992/2724972534513664/STEM/840dbb90-6614-41b2-9c43-a50251228226.png?resizew=194)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41479996d37b9911578d517f72cfbc12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acf0a380b836b0e3b7ad0fe838860a9a.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42020cfacd62b300cad053981bab9e0b.png)
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2021-05-20更新
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783次组卷
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4卷引用:重庆市第三十七中学校2020-2021学年高一下学期期中数学试题
2 . 如图所示,正方体
的棱长为
,
、
分别是棱
、
的中点,过直线
、
的平面分别与棱
、
交于
、
,设
,
,则下列命题中正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/17/2b4e34e9-43e7-436d-b787-d4b611a47e1c.png?resizew=157)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3da8c338342e38c9aa3f274c053fd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6024fd4532f5f981deac4582c799a6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ecac2dad4cffdd971fd23deacff3fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6655cc150ddc9deba2254780984d0024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b25f3ea33cc08b1e2a0d9c3a9dccaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91f2a9b923a355694ea487f6c5669a04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1376168658dbe7f5b7f4d75fb1db545a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/17/2b4e34e9-43e7-436d-b787-d4b611a47e1c.png?resizew=157)
A.平面![]() ![]() |
B.当且仅当![]() ![]() |
C.四边形![]() ![]() |
D.四棱锥![]() ![]() |
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