20-21高三下·全国·阶段练习
1 . 在直棱柱
中,底面
为正方形,
为底面正方形对角线的交点,
,
,
为棱
的中点﹐则下列说法不正确的是( )
![](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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd7e3b114896f000678d4ff3f580e76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
A.![]() ![]() | B.![]() |
C.![]() | D.![]() |
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2 . 在三棱锥
中,
是边长为2的正三角形,
,
,
分别是
,
的中点,且
,则三棱锥
外接球的表面积为 ( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30fc65a72853bd8ac1ad0828270d3baf.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/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2f5af7cdf388a47357c119f42140f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2021-06-01更新
|
1022次组卷
|
7卷引用:江苏省南京市金陵中学、南通市海安中学、南京市外国语学校等三校2021届高三下学期高考考前模拟联考数学试题
江苏省南京市金陵中学、南通市海安中学、南京市外国语学校等三校2021届高三下学期高考考前模拟联考数学试题(已下线)模块综合练02 立体几何-2022年高考数学(理)一轮复习小题多维练(全国通用)(已下线)第29讲 外接球与内切球问题-2022年新高考数学二轮专题突破精练江苏省泰州中学2022-2023学年高三上学期第一次月度检测数学试题江苏省扬州市宝应区曹甸高级中学2022-2023学年高三上学期期中数学试题(已下线)模块六 立体几何 大招10 外接球之墙角模型(已下线)FHsx1225yl096
解题方法
3 . 已知正四棱锥
的所有棱长均为
,
,
分别是
,
的中点,
为棱
上异于
,
的一动点,现有以下结论:
①线段
的长度是
;
②
周长的最小值为
;
③存在点
使得
平面
;
④
始终是钝角.
其中不正确的结论共有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.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/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
①线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d736f771df9dceda9f2a40b492c030a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284b605b18b1fd153e279e97d42fcf4b.png)
③存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45fbffb9e2c7fa7c5006cde8da0cabe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed4cba9d2412e4a28f8740bddd5738d4.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b89403a4db68423b83136d2cbff6225.png)
其中不正确的结论共有( )
A.1个 | B.2个 | C.3个 | D.4个 |
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解题方法
4 . 已知四面体
中,
,
,
,
是
的中点,
,
,则四面体的外接球的表面积为( )
![](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/d3bbe4cdd2c154bd9a8073b0d4cecb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27db558e8db4c957654c8e5cecd2d2dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2073a402dd8955d93bc52a09c08a7580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f447a166ef2229311427900f40536b9e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 如图,在正方体
中,
,
分别为
,
的中点,则下列说法错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://img.xkw.com/dksih/QBM/2021/5/26/2729478883409920/2732801961811968/STEM/ad147a3393c7424b9eecbf5a85cfd626.png?resizew=170)
A.![]() | B.直线![]() ![]() ![]() |
C.![]() ![]() | D.异面直线![]() ![]() ![]() |
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1560次组卷
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5卷引用:黑龙江省大庆铁人中学2021届高三第四次模拟考试数学(文)试题
黑龙江省大庆铁人中学2021届高三第四次模拟考试数学(文)试题江西省新余市2020-2021学年高二下学期期末数学(理)试题(已下线)模块综合练02 立体几何-2022年高考数学(理)一轮复习小题多维练(全国通用)(已下线)考点19 空间点、直线、平面之间的位置关系-备战2022年高考数学(文)一轮复习考点微专题河北省高碑店市崇德实验中学2024届高三上学期9月月考数学试题
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6 . 如图,四棱锥
的底面为正方形,
底面
,则下列结论中错误的是( )
![](https://img.xkw.com/dksih/QBM/2021/4/21/2704607272132608/2730883126820864/STEM/6b12e08012144014bf4507ed48bc2370.png?resizew=178)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fb2e071d4e01107dcf7d95cbb86b415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/2021/4/21/2704607272132608/2730883126820864/STEM/6b12e08012144014bf4507ed48bc2370.png?resizew=178)
A.![]() |
B.平面![]() ![]() |
C.![]() ![]() ![]() |
D.异面直线![]() ![]() ![]() ![]() |
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1396次组卷
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4卷引用:陕西省渭南市2021届高三下学期二模理科数学试题
陕西省渭南市2021届高三下学期二模理科数学试题吉林省长春外国语学校2020-2021学年高一下学期期末数学试题江西省宜春市天立高级中学2020-2021学年高一下学期期末数学试题(已下线)第一章 空间向量与立体几何(选拔卷)-【单元测试】2021-2022学年高二数学尖子生选拔卷(人教A版2019选择性必修第一册)
解题方法
7 . 在正方体
中,
,
分别为棱
,
的中点,则在直线
,
,
,
中,与
异面且垂直的直线的条数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.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/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e97fcdcfd6183b976a61ef3222c607.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e539f26ed5e0b20ff7220559324869a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b7d857811cbd619f868d951aa7a0ab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69a7bcc1efb8a2ff57d64b6d057da463.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2卷引用:2021届高中毕业班考前定位联合考试文科数学试题
8 . 在三棱锥
中,底面ABC是以AC为斜边的等腰直角三角形,且
,PB与底面ABC所成的角的余弦值为
,则三棱锥
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/5552acac57a349ae523a4b9639081c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24c14ff9b66f21c05e52dc3c8908c2df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
9 . 如图,在三棱锥
中,
平面
,
是等腰三角形,
,
,
,垂足为
,
是
的中点,则
的面积最大时,
的长是( )
![](https://img.xkw.com/dksih/QBM/2021/5/18/2723610017480704/2727857224179712/STEM/82b6a682-b202-4577-a3b9-e62418c17ca2.png?resizew=199)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f1897a7e856b42f8cee0f286ad913d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bab2c27eac56fffa4cd7dbe1dcdf1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ceb48a731f5c08eda157147c4e82334.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c768dedaea22607617398ce28a02dd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://img.xkw.com/dksih/QBM/2021/5/18/2723610017480704/2727857224179712/STEM/82b6a682-b202-4577-a3b9-e62418c17ca2.png?resizew=199)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 在四棱锥
中,已知
底面
,且
,则该四棱锥外接球的体积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5eb033a9207e5c1e5ba57d43bc473b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7ac6875e7b06b17915740aef92ac8e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2021-05-26更新
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1317次组卷
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5卷引用:2021年普通高等学校招生全国统一考试(全国Ⅲ卷)理科数学试题(黑卷)
2021年普通高等学校招生全国统一考试(全国Ⅲ卷)理科数学试题(黑卷)(已下线)考点25 直线、平面垂直的判定及其性质-备战2022年高考数学(理)一轮复习考点微专题(已下线)7.7 空间几何体的外接球(精练)-【一隅三反】2022年高考数学一轮复习(新高考地区专用)(已下线)类型五 空间几何外接球-【题型突破】备战2022年高考数学二轮基础题型+重难题型突破(新高考专用)(已下线)专题17 球面几何(外接球、内切球和棱切球)-1