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1 . 如图,一个由四根细铁杆
、
、
、
组成的支架(
、
、
、
按照逆时针排布),若
,一个半径为1的球恰好放在支架上与四根细铁杆均有接触,则球心
到点
的距离是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/7/69d30592-6d49-40fb-9a90-41a0687e574b.png?resizew=232)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5decf24f2656dfd10957959853ecfcef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/7/69d30592-6d49-40fb-9a90-41a0687e574b.png?resizew=232)
A.![]() | B.![]() | C.2 | D.![]() |
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2023-04-06更新
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6卷引用:上海市杨浦区2023届高三二模数学试题
上海市杨浦区2023届高三二模数学试题湖南省长沙市明德中学2023届高三下学期高考仿真模拟考试数学试题(已下线)第四套 最新模拟重组卷2024届福建省泉州市四校(安溪一中、养正中学、惠安一中、泉州实验中学)5月份高三高考模拟联考数学试题(已下线)专题07 空间向量与立体几何上海市桃浦中学2023-2024学年高三下学期3月月考数学试卷
2 . 若正四棱锥
的高为2,侧棱
与底面
所成角的大小为
,则该正四棱锥的体积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19a4b8b69b419c557ba61a2bdfaf4066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
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3 . 如图,在正三棱锥
中,
为线段
的中点,
在线段
上,
,
为定长,则该棱锥的体积的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14e38b1f9ba8e2c07327052d59d164d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16c9232e44f3d417faa948963304729b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/19/d590759a-db8d-4070-b1ca-c37579bd1623.png?resizew=169)
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2019-12-08更新
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2卷引用:2018年上海市复旦附中高三5月三模数学试题