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解题方法
1 . 某公司在庆典活动中,设计了一款纪念品如图所示,其底座是顶部有凹槽的圆台,上面放置一个水晶玻璃球,圆台上底圆周的所有点都在凹槽面上四槽面上的所有点都在球面上圆台的上、下底面半径分别为2cm,4cm,母线长为
cm,球的顶端到底座下底面的距离为8cm,则水晶球的半径为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b91d650c2fc1a741fabdb333b09aeb6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
2 . 已知长方体
的底面
是边长为1的正方形,侧棱
,在矩形
内有一动点
满足
,且
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92535536bd3c2761724fd058427f95a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a68ca3817597ebe6d95eac0294b01c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/540ccd15435aa2d59e809d6a28fb2467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/867b192236d84466735ca8d63d3f7d06.png)
A.![]() | B.![]() | C.![]() | D.2 |
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3 . 我国古代数学专著《九章算术》中有这样一个问题:“今有木长二丈,围之三尺.葛生其下,缠木七周,上与木齐.问葛长几何?”其意思为:“圆木长2丈,圆周长为3尺,葛藤从圆木的底部开始向上生长,绕圆木7周,顶部刚好与圆木平齐,问葛藤长为多少?"若1丈
尺,则葛藤最少长( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a3c450315612a9fa3fc9562f290bc04.png)
A.21尺 | B.25尺 | C.29尺 | D.33尺 |
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4 . 如图,
表示水平放置的
根据斜二测画法得到的直观图,
在
轴上,
与
轴垂直,且
,则
中
边上的高为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0d02d76af11a2b8bfb7d6e1b3c171f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b48e33eaa40d01f976230d4b73ae91dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33101c0ba719d80774cbcd6893bce713.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb0628cecbfc98d390e5447d52414e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33101c0ba719d80774cbcd6893bce713.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05fb547f486e3723ea199d8083ccebec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
A.2 | B.4 | C.![]() | D.![]() |
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解题方法
5 . 如图所示,在三棱台
中,
,则三棱锥
与三棱锥
的体积比为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08aa3e179479457eb542643ee2a4601b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/010df4ca6f618ea64d3f91b2d9530822.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d38593653bedb845ecfa820806a29a1e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
6 . 一个几何体的三视图如图所示,则该几何体的体积为( )
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
7 . 在四面体ABCD中,平面
平面BCD,
,且
,则四面体ABCD的体积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcf6dc837ae85207789b94d109c5c2eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5441d73845911db1993bf903c4d8700f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91d1bc2befb2ed08809390b008bbfe26.png)
A.2 | B.6 | C.![]() | D.![]() |
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2024-05-24更新
|
518次组卷
|
2卷引用:吉林省名校联盟2023-2024学年高一下学期期中联合质量检测数学试题
8 . 如图,在多面体
中,已知四边形
是边长为3的正方形,
,
,
上任意一点到平面
的距离均为
,则该多面体的体积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e41d3f7d55fcbaebc4e2450ac63a3dc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db37b5ce697dab3189a15881d00fcd0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
A.![]() | B.![]() | C.12 | D.![]() |
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9 . 在正四棱柱
中,
,
,
,
,平面
与
交于点G,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51d0fdc5a00ca0e857b89a7e1420df29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a654ed15cf9de6ad06030d079fdb1994.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c16502336b8736584f658c3eff0c13d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bff3ccea5989c60e51e321af3f53f54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394c5d2f55221975503be8aa18022480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b644e2bc1df31ac474d646b1d1319400.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 一个正四棱锥的主视图如图所示,
,则该四棱锥的表面积为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fdf7ab27bf4db7e737debe4fea10729.png)
A.![]() | B.![]() | C.46 | D.48 |
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