名校
解题方法
1 . 体积为1的正三棱锥的外接球的半径与底面正三角形的边长比的最小值为( )
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 上、下底面圆的半径分别为
、
,高为
的圆台的体积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86b1cfe63800f6fc02f999e64dd24b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a167970b998655367e3fb81e7cafe883.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知在三棱锥
中,
,点
为三棱锥
外接球上一点,则三棱锥
的体积最大为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6ac434997573f3fde6a254760a978f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddfe0ccf24d760c77535a70c92dad145.png)
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解题方法
4 . 已知某圆锥底面直径与母线长之比为
,其内切球半径为1,则此圆锥的体积等于______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c49f81fde1b167ec693b00409fb7f71.png)
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5 . 已知圆台
的上底面圆
的半径为2,下底面圆
的半径为6,圆台的体积为
,且它的两个底面圆周都在球O的球面上,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7907e2ced0558f2ce9740dbb82531af.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65ac334119ccd6204402a7aba29a55.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/37e702670dddfca2dbf51083d5763a15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7907e2ced0558f2ce9740dbb82531af.png)
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6 . 在棱长为1的正方体
中,点
到平面
的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a211ad5a06b505b8365a62c1946f3cb7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 正四面体
的棱长为4,点M、N分别是棱
、
的中点,则点A到平面
的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212a67f115d1cbe69f100b489babe5f8.png)
A.![]() | B.![]() | C.2 | D.![]() |
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解题方法
8 . 已知侧棱长为5,高为4的正四棱锥被平行于底面的平面所截,截去一个高为2的正四棱锥,所得的棱台的体积为______ .
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2023-11-16更新
|
333次组卷
|
2卷引用:浙江省“衢温5+1”联盟2023-2024学年高二上学期期中考试数学试题
9 . 棱长为2的菱形
中,
,将
沿对角线
翻折,使
到
的位置,得到三棱锥
,在翻折过程中,下列结论正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/7/8c391cfe-67c9-4ccb-bb01-6a8b8f184e7d.png?resizew=364)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f945a69cf7e8213e50622125cde652f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08a9ec3b527947cad9caa4537e0cb7e7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/7/8c391cfe-67c9-4ccb-bb01-6a8b8f184e7d.png?resizew=364)
A.三棱锥![]() ![]() | B.![]() |
C.存在某个位置,使得![]() | D.存在某个位置,使得![]() ![]() |
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名校
解题方法
10 . 如图,三棱锥
中,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/2023/10/20/3350169606774784/3352061135241216/STEM/aec26f7ecdc8460fb6eb93346fd8ee27.png?resizew=177)
(1)求三棱锥
的体积:
(2)若点M在棱AP上,且直线CM与平面ABC所成角的正弦值为
,求二面角
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1efa2b0018617bd579875185dafca39a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9afd6b12928cf6b00cfb4bf0ed8b1124.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/225e6e81f532056c440f01e2e2fe38d2.png)
![](https://img.xkw.com/dksih/QBM/2023/10/20/3350169606774784/3352061135241216/STEM/aec26f7ecdc8460fb6eb93346fd8ee27.png?resizew=177)
(1)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
(2)若点M在棱AP上,且直线CM与平面ABC所成角的正弦值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55176f6357df50f85d36b732e31972d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23c436405450a5ab1d029a3151641641.png)
您最近一年使用:0次
2023-10-23更新
|
492次组卷
|
2卷引用:浙江省台州市临海市灵江中学2023-2024学年高二上学期10月月考数学试题