名校
1 . 已知平面
,直线
满足
,
,则“
”是“
”的______ 条件.(填“充分不必要”,“必要不充分”,“充要条件”,“既不充分也不必要”)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8325245621b6f13f92d05b0a2f2236fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5986f2991d45fbf3578f08f27d9fd7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe920cd78db25f5b4df37d066e57800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc01d7aa51bf4f95c4b12ae9dcb7eb4c.png)
您最近一年使用:0次
2 . 如图,已知六棱锥
的底面是正六边形,
平面
,
,给出下列结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/15/25e5ed55-bdc3-438a-8f88-2061dea26c12.png?resizew=235)
①
;
②直线
平面
;
③平面
平面
;
④直线
与平面
所成角为
;
其中正确的有_______ (把所有正确的序号都填上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3b7838a53d0b3ed4565fb6a890f365d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9801cabc43c024b9c5fac34b7db5d69b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/15/25e5ed55-bdc3-438a-8f88-2061dea26c12.png?resizew=235)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9104a1941e557a85fd1496bc2b9be297.png)
②直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08f8b463fcecf0a757f386db56e074d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e6c2dad46a9052a4185a4f7b4ae8a2e.png)
③平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e6c2dad46a9052a4185a4f7b4ae8a2e.png)
④直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e5fa72f2878b476bc57f0df12d6555.png)
其中正确的有
您最近一年使用:0次
名校
解题方法
3 . 已知
的所有顶点都在球
的表面上,
,球
的体积为
,若动点
在球
的表面上,则点
到平面
的距离的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa1310f16979be2122248f479c85d8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8747bf1c82b370f216cf5cc2eb36d9f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
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2022-12-04更新
|
713次组卷
|
3卷引用:四川省成都市成都市石室中学2022-2023学年高三上学期期中数学文科试题
四川省成都市成都市石室中学2022-2023学年高三上学期期中数学文科试题(已下线)专题06 一网打尽外接球与内切球问题(精讲精练)-3河南省顶级名校2022-2023学年高三上学期12月摸底考试数学(文)试题
名校
解题方法
4 . 三棱锥
中,面
面
,
,
,
,
,
,
为射线
上一动点,求直线
与面
所成角的正弦的最大值为______________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4357d5744046d4d44abb09e1ee35fcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17580410bf63dba4fe164265afaac4cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7788830ed1cb3b9c5988f70f43595f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26ad70d2b3aac8604834d57dfc59bb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60bb2e3631f46fc8a24595efce01a92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
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2022-11-20更新
|
877次组卷
|
7卷引用:四川省南充高级中学2022-2023学年高三上学期第四次月考数学试题(理)
四川省南充高级中学2022-2023学年高三上学期第四次月考数学试题(理)四川省南充高级中学2022-2023学年高三上学期第4次模拟测试数学理科试题云南省昆明市官渡区艺卓中学2023届高三下学期第二次月考数学试题(已下线)8.6.2直线与平面垂直的判定定理(第1课时)(精讲)(2)-【精讲精练】2022-2023学年高一数学下学期同步精讲精练(人教A版2019必修第二册)(已下线)第八章立体几何初步章末题型大总结(精讲)(2)-【精讲精练】2022-2023学年高一数学下学期同步精讲精练(人教A版2019必修第二册)(已下线)13.2.4 平面与平面的位置关系 (2)(已下线)专题10 空间角与空间距离的综合(2) - 期中期末考点大串讲
名校
5 . 如图,在三棱锥
中,已知
,
,
,
,平面
平面
,三棱锥
的体积为
,若点
,
,
,
都在球
的球面上,则球
的表面积为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf9718967af7a01c5b4866ea6f73bbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cfc050e44fcbdbb4fbb98593965407e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f80f897773695a0112bd2cc8dfd7e622.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d9ef979b9f27a28cbda6923e888ccc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0063f3f48e49f2970ec7f097567cef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf9718967af7a01c5b4866ea6f73bbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69a8b76e36783a69d14ec54af82c7df0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/20/d3780eea-d308-427a-b6d8-ddc5afc688ed.png?resizew=181)
您最近一年使用:0次
2022-11-15更新
|
636次组卷
|
3卷引用:四川省成都市锦江区嘉祥外国语高级中学2022-2023学年高三上学期期中数学理科试题
四川省成都市锦江区嘉祥外国语高级中学2022-2023学年高三上学期期中数学理科试题(已下线)专题06 一网打尽外接球与内切球问题(精讲精练)-3湖南省衡阳市衡南县2022-2023学年高二上学期期末数学试题
名校
解题方法
6 . 如图,已知棱长为1的正方体
中,
分别是线段
的中点,又
分别在线段
上,且
.设平面
平面
,现有下列结论:①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
平面
;②
;③直线
与平面
垂直;④当
变化时,
是定直线.其中成立的结论是__________ .(写出所有成立结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b094411c562930ff2d67b582cfd48cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af55b84645a6a98e36ad57c96938af8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615905b97e7a125cbd3ec958d1bf9540.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30429369ae965552de457acbc1b13285.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6f0a3bdee1a569e591b2f80dbfbc65e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7702c7496ef872e898eef3c7ce29a36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95e692badf11ca5ac25104a166f4467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://img.xkw.com/dksih/QBM/2022/11/10/3106567319871488/3107342175633408/STEM/1ec500042bbd4e0285c31ccadc0cd8b4.png?resizew=196)
您最近一年使用:0次
2022-11-11更新
|
262次组卷
|
3卷引用:四川省乐山沫若中学2022-2023学年高二上学期第二次月考(期中考试)数学(理)试题
名校
解题方法
7 . 在三棱锥
中,平面
平面
,
与
都是边长为6的正三角形,则该三棱锥的外接球的体积为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d7090639341730951c1bc3c9b6164e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
您最近一年使用:0次
解题方法
8 . 如图,在平行六面体
中,四边形
,
均为矩形,已知
,且二面角
的平面角为
,连接
,
,则四边形
的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebb05874eb3353d754af24c9974273e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47abf7a3691e5bb64716c4e50b43a86d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9a015e4b3bf2e3068f64144791c0c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/9/5e812d89-1ffc-4ace-9571-348cf08c2d4e.png?resizew=164)
您最近一年使用:0次
2022-11-06更新
|
151次组卷
|
2卷引用:四川省成都市蓉城名校联盟2022-2023学年高二上学期期中联考理科数学试题
9 . 如图,在棱长为a的正方体
中,P是
的中点,
是
上的任意一点,
、
是
上的任意两点,且
的长为定值,现有下列结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/5ff3dbc6-6748-412a-b54c-1e83ec19b173.png?resizew=156)
①异面直线
与
所成的角是定值;②点
到平面
的距离是定值;③直线
与平面
所成的角是定值;④三棱锥
的体积是定值.其中正确结论的序号为________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394c5d2f55221975503be8aa18022480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.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/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/5ff3dbc6-6748-412a-b54c-1e83ec19b173.png?resizew=156)
①异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1657f0781f2d325a939ebc926e4f4f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d246f9eceab371ebf47a47c2f11a4ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84246f43e21ad37356b653500301d6c4.png)
您最近一年使用:0次
2022-11-02更新
|
584次组卷
|
3卷引用:四川省成都市铁路中学2022-2023学年高二上学期第三次月考数学理科试卷
四川省成都市铁路中学2022-2023学年高二上学期第三次月考数学理科试卷2023届甘肃省高考理科数学模拟试卷(四)(已下线)第二章 立体几何中的计算 专题六 空间定值问题 微点3 立体几何中的定比问题【培优版】
名校
10 . 在平面四边形ABCD中,AD⊥CD,AC⊥BC,∠DAC=∠BAC=30°,现将△ACD沿AC折起,并连接BD,使得平面ACD⊥平面ABC,若所得三棱锥
的外接球的表面积为
,则三棱锥
的体积为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4357d5744046d4d44abb09e1ee35fcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9609625b502348556ff8ba32deac8caa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4357d5744046d4d44abb09e1ee35fcb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/5396a460-5ef2-4197-82c7-e4f274666b59.png?resizew=292)
您最近一年使用:0次
2022-11-02更新
|
322次组卷
|
2卷引用:四川省眉山市仁寿第一中学南校区2022-2023学年高二上学期期中考试数学(理)试题