1 . 已知六棱锥的所有顶点都在半径为2的球的球面上,当六棱锥的体积最大时,其侧棱长为( )
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-02-09更新
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2卷引用:安徽省马鞍山市2022-2023学年高三上学期第一次教学质量监测数学试题
解题方法
2 . 如图,在矩形
中,
,点
分别为边
的中点.将
沿
折起,在翻折过程中,直线
被三棱锥
的外接球截得的线段长的取值范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f89861de688302ef4e114ab25a05988.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f39b346c0078429db6e9bd0b29bc68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f6373271eaf85b857aaa1f1054e084e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e14c0ead44a9d3bb49c97b5017bca6.png)
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名校
3 . 如图,四棱锥
中,底面
是菱形,
平面
,
,
是
上一动点.
![](https://img.xkw.com/dksih/QBM/2020/1/17/2379240729321472/2381061050261504/STEM/a0508fdd38814c509b968eb800d8b0f9.png?resizew=219)
(1)求证:平面
平面
;
(2)若
,三棱锥
的体积为
,求四棱锥
的侧面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b96fac11d72f72c805dbddb8da72d68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/2020/1/17/2379240729321472/2381061050261504/STEM/a0508fdd38814c509b968eb800d8b0f9.png?resizew=219)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9af29254fe60a392c249c5791279e9c8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9396a2523d078c7fafbdcf231a9e772d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddfe0ccf24d760c77535a70c92dad145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c26cd130c1f0897d2524beb34a329bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
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2020-01-20更新
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2321次组卷
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5卷引用:2020届安徽省马鞍山市高三第一次教学质量监测文科数学试题
2020届安徽省马鞍山市高三第一次教学质量监测文科数学试题2020届高三2月第01期(考点07)(文科)-《新题速递·数学》安徽省十校联盟2019-2020学年高三下学期3月线上自主联合检测数学(文)试题(已下线)考点24 空间几何体体积及表面积(讲解)-2021年高考数学复习一轮复习笔记辽宁省沈阳市东北育才学校科学高中部2021-2022学年高一下学期阶段测试数学试题
名校
4 . 已知三棱锥
的三条侧棱两两垂直,且
,
,则三棱锥
的外接球的表面积是________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc53b48b66d338cc4976c2c01c14bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/106997abd337c8d3239139d9f0b14cff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
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2卷引用:安徽省马鞍山市第二中学郑蒲港分校2020-2021学年高二下学期入学摸底测试文科数学试题
解题方法
5 . 在直三棱柱
中,
,
,
,且三棱柱的所有顶点都在同一球面上,则该球的表面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79faaf0e895a5e3edf40756d990e1161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51d0fdc5a00ca0e857b89a7e1420df29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 如图,正方体
的棱长为2,点E,F在棱AB上,点H,G在棱CD上,点
,
在棱
上,点
,
在棱
上,
,则六面体
的体积为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/522230546d4b802094e86ceb48c2ba38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86163e76653de1f383788b741fb64a8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394c5d2f55221975503be8aa18022480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011ae6cb0cf49f6d3d19b485dc1cfc22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80aae44bad62bee5262c4a5dc8a777b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/688dadc0f657a17ae623f7b8e1a05ac3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/12/9e339c01-232f-4150-8349-6ebc523039e5.png?resizew=205)
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7 . 如图,如图,在四棱锥
中,底面
为平行四边形,
,
,且
底面
.
平面
;
(2)求
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f80f51c31583fea58fde645474d60b8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c3f15f3725dc69af03fb68c639796c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ffc6952e988d04f22f0fb2f7f0ab7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
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2022-04-01更新
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6卷引用:安徽省马鞍山市红星中学2022-2023学年高一下学期5月月考数学试卷
名校
8 . 如图,AC为圆锥SO底面圆O的直径,点B是圆O上异于A,C的动点,
,则下列结论正确的是( )
![](https://img.xkw.com/dksih/QBM/2022/5/24/2986258300076032/2995511887446016/STEM/60c7580c-da54-45c8-83c4-0616997a1a9a.png?resizew=303)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aae7261aa6d7772f993460c4f33db7a5.png)
![](https://img.xkw.com/dksih/QBM/2022/5/24/2986258300076032/2995511887446016/STEM/60c7580c-da54-45c8-83c4-0616997a1a9a.png?resizew=303)
A.圆锥SO的侧面积为![]() |
B.三棱锥S-ABC体积的最大值为![]() |
C.∠SAB的取值范围是![]() |
D.若![]() ![]() ![]() |
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2卷引用:安徽省马鞍山市第二中学2022-2023学年高一下学期期中素质模拟测试数学试题
名校
解题方法
9 . 已知某圆锥的侧面积为
,其侧面展开图是半圆,则该圆锥的体积为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02dba908a505cff93e0b297d00b82a40.png)
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2卷引用:安徽省马鞍山市2022-2023学年高一下学期期末教学质量监测数学试题
解题方法
10 . 三棱锥
中,
与
均为边长为
的等边三角形,平面
平面
,则该三棱锥的外接球的表面积为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
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