1 . 如图所示,用一个不平行于圆柱底面的平面,截该圆柱所得的截面为椭圆面,得到的几何体称之为“斜截圆柱”.图一与图二是完全相同的“斜截圆柱”,AB是底面圆
的直径,
,椭圆所在平面垂直于平面ABCD,且与底面所成二面角为
,图一中,点
是椭圆上的动点,点
在底面上的投影为点
,图二中,椭圆上的点
在底面上的投影分别为
,且
均在直径AB的同一侧.
时,求
的长度;
(2)(i)当
时,若图二中,点
将半圆均分成7等份,求
;
(ii)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/526908dfb46cf151b8ab1492a9d52047.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30c20e88a33043f4279fff360c81006e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d1d663b6001346d11600f064cfcb7a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07d26ebb800066a7bce57213cd074005.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07d26ebb800066a7bce57213cd074005.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b20bf4f818b494e7b5fa9c68527026e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/893ff0f9b64c66312c37cb7ce90c351d.png)
(2)(i)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c345907ebe27888332b1b44c666cc47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bde134aa77da12366e6a742fa33b4bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e578d74f75cf5a087cb5dbad1d07c66.png)
(ii)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0838e80d58bad3e9cbc4766d2a0ec3.png)
您最近一年使用:0次
2 . 如图,正方形
中,边长为4,
为
中点,
是边
上的动点.将
沿
翻折到
沿
翻折到
,
平面
;
(2)若
,连接
,设直线
与平面
所成角为
,求
的最大值.
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afeff57a058eb3baf1eea60088fff06d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/094cdaea0090d45556d38bf1420cf04a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365a785ab5fa2dc8d2fdb07545e3772c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4457b0fbba18bae1cf18cb5947a144c1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17baac332fe2f27b0ba4f1cfeab1ae45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34c157ff302a881c17514534903c575f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134ef0b1a2669a09f05bd4dc2496f706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
您最近一年使用:0次
2023-07-14更新
|
500次组卷
|
3卷引用:湖南省郴州市2022-2023学年高二下学期期末数学试题
3 . 长方体
中,
,
,
分别为棱
上的动点,且
,
时,求证:直线
平面
;
(2)如图2,当
,且
的面积取得是大值时,求点B到平面
的距离;
(3)当
时,求从
点经此长方体表面到达
点最短距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94fd432df8731b054aa87095b802ab4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d150134e5018f74fc4e8a016ced5f11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/054045ada101ee1151a11b7ca38e901e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/374fe9986ebbc986fc422e514ab93a51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/582fca0c1348fbbf733909680affa238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0f8718b19df4dc877cc08e2ddeca626.png)
图1 图2
(1)如图1,当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f22fec5a381ae8aca93d876e54c79de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/766eafc8f13557a48e713745d9665620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b5975d4f63b16d5741e595e18bd4e41.png)
(2)如图2,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/668c8ab5abdba7173bcbe573ae87dad4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2ea13010e2399194be2a681310543e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417022242845ca611c8b0c2edc484710.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dd456469aaa6dafb1e275183d217435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12fe32dfbd66709875c5b9f79c9496da.png)
您最近一年使用:0次
2022-01-05更新
|
1025次组卷
|
6卷引用:上海市奉贤区奉城高级中学2021-2022学年高二上学期10月月考数学试题
上海市奉贤区奉城高级中学2021-2022学年高二上学期10月月考数学试题(已下线)期中考试模拟卷01-【一堂好课】2021-2022学年高二数学上学期同步精品课堂(人教A版2019选择性必修第一册)(已下线)思想01 函数与方程思想(讲)--第三篇 思想方法篇-《2022年高考数学二轮复习讲练测(浙江专用)》(已下线)第02讲 空间向量的坐标表示-【帮课堂】2021-2022学年高二数学同步精品讲义(苏教版2019选择性必修第二册)(已下线)专题1 空间几何体的长度运算(提升版)(已下线)【一题多变】空间最值 向量求解
解题方法
4 . 圆柱
中,四边形
为过轴
的截面,
,
,
为底面圆
的内接正三角形,
.
(1)证明:
平面
;
(2)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65ac334119ccd6204402a7aba29a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2257da1e2425f2ea9ac7440f52659ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65ac334119ccd6204402a7aba29a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41b30ab3e9dda0c794ce649cc959a5d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d37160545bf07e848d23fca6a7b1da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd81adb13f5a7550b0f94f770900a613.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/14/6a956016-4309-4dcd-b08c-a5c838e768b2.png?resizew=119)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d3267664e1d0a09def7c38743f0193f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a34fdf9e6d2d87d01ad0bbb6a73ee05.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e1c9c7f004f2712bb6ac2b727acd899.png)
您最近一年使用:0次
名校
解题方法
5 . 如图所示为一个半圆柱,
为半圆弧
上一点,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/a4bf1bc1-bee0-46d6-83c9-71497aa77f09.png?resizew=124)
(1)若
,求四棱锥
的体积的最大值;
(2)有三个条件:①
;②直线
与
所成角的正弦值为
;③
.请你从中选择两个作为条件,求直线
与平面
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2395720e6d6aeb7efdcd8e921849acf4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/a4bf1bc1-bee0-46d6-83c9-71497aa77f09.png?resizew=124)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a65b94de267eb6858634181642c65c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c753cb1eb73fd8d136d00462970797.png)
(2)有三个条件:①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3b0f78a8003789a66fa4cb38a84858c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411f35f7181f79573bbfab44ea77ff1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62871bb0dff211fc3bd80f9066c25b29.png)
您最近一年使用:0次
2021-01-02更新
|
1642次组卷
|
5卷引用:T8联考八校2020-2021学年高三上学期第一次联考数学试题
T8联考八校2020-2021学年高三上学期第一次联考数学试题江苏省南京市秦淮中学2021届高三下学期期初学情调研数学试题(已下线)专练11 空间向量与立体几何综合检测(A卷)-2021-2022学年高二数学上册同步课后专练(人版A版选择性必修第一册)2023版 湘教版(2019) 选修第二册 过关斩将 第2章 空间向量与立体几何山东省济宁市育才中学2022-2023学年高二上学期第一次学情检测数学试题
解题方法
6 . 如图1,在边长为4的菱形
中,
,
,
分别为
,
的中点,将
沿
折起到
的位置,得到如图2所示的三棱锥
.
;
(2)
为线段
上一个动点(
不与端点重合),设二面角
的大小为
,三棱锥
与三棱锥
的体积之和为
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284e282bb1d9fbf8634b3506ee5358ab.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.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/b1a33d27a9c655d01f606e9bce02b0a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aedb55703d202771dd11987cf4f30bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432129b84db4beea3395281639c6684e.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6f4e64c96f4c48b158c7f918243fbd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5d90f940f5693b22ddf2e7c761887d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d7b329612a9159b0b2dce46120b409e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
您最近一年使用:0次
2023-07-11更新
|
462次组卷
|
2卷引用:山东省泰安市2022-2023学年高一下学期期末数学试题
7 . 如图,在棱长为1的正方体
中,
为棱
的中点,点
满足
,
,
.
(1)若
平面
,求
的值;
(2)当三棱锥
体积最大时,求点
位置,并求体积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ada638fe7318db9cb0928990462d2769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d1751e5590f3b14c8fe452587809f7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b63bb5c166bdb1479f8bab54b892624.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/15/a2a8c06a-ce2c-4a5d-b81a-dbd68e3d8285.png?resizew=150)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c907070ac9807667d10027d8bce8b2fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13063f81336ee296604cba1136a56092.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
(2)当三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9d1fa89baa7d99accb4d00ec59708f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
您最近一年使用:0次
名校
解题方法
8 . 如图,在长方体
中,点
在平面
的射影为
.
(1)证明:
为
的垂心.
(2)若
,且点
在平面
的射影为点
,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b0a582c36d62d83c16425b2f54b4354.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/7/37e61b98-1318-418f-b939-6e590a30b023.png?resizew=217)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de60f6ffd5ab327d4cfe32d26d95da70.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ab5a353686725ea697ea410a8ad9c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b0a582c36d62d83c16425b2f54b4354.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/577b7032795d3900dbce9cbe60ab2a1d.png)
您最近一年使用:0次
2023-07-05更新
|
588次组卷
|
4卷引用:河北省保定市定州市2022-2023学年高一下学期期末数学试题
9 . 如图,在四棱锥
中,
是正三角形,四边形
是菱形,
,
,点
是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/22/304b4a8c-3eef-4fa8-85a9-6e021a0dc1fd.png?resizew=139)
(1)求证:
平面
;
(2)若平面
平面
,求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0923c7ceaa0ca373ee0fd09a96d084ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e918b70b02a73685e3c536c7f380e2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b5e290c6b2c5508a3bf6117afbf7e1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/22/304b4a8c-3eef-4fa8-85a9-6e021a0dc1fd.png?resizew=139)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca6d50356a01ae13936f1bd8efa94c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c66d99a6a8415ddad22bbed33b64cfb.png)
(2)若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0f434ade4aa62ace93040892aafd218.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/c26ca000cd3c0e285cb4acf011802041.png)
您最近一年使用:0次
2021-09-07更新
|
1447次组卷
|
3卷引用:广东省深圳科学高中2019-2020学年高一下学期期中数学试题
广东省深圳科学高中2019-2020学年高一下学期期中数学试题(已下线)第8章 立体几何初步(单元提升卷)-2021-2022学年高一数学考试满分全攻略(人教A版2019必修第二册)上海市嘉定区第二中学2021-2022学年高一下学期期末自查数学试题
名校
解题方法
10 . 如图,在
中,
,斜边
,半圆
的圆心
在边
上,且与
相切,现将
绕
旋转一周得到一个几何体,点
为圆锥底面圆周上一点,且
.
![](https://img.xkw.com/dksih/QBM/2020/8/6/2522228778729472/2522899826024448/STEM/74f63df1b94d448f8e4a03fcd1bc5338.png?resizew=347)
(1)求球
的半径;
(2)求点
到平面
的距离;
(3)设
是圆锥的侧面与球的交线上一点,求
与平面
所成角正弦值的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cdc05e46628a1e9df831e57dd09a703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c276ba2da23cd8c04acf6e317af22df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a0b15556a1584c1b6b2768bbc9cbda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d66b83d9dbcb45e1c241d18a3e1843f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a6e2867f32d3f1c3cd36cd3a11a8580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cdc05e46628a1e9df831e57dd09a703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18e5ef91fb27dd684a27ae7f1993cfba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ccc37b189fa2cbc269ca0b233dac37.png)
![](https://img.xkw.com/dksih/QBM/2020/8/6/2522228778729472/2522899826024448/STEM/74f63df1b94d448f8e4a03fcd1bc5338.png?resizew=347)
(1)求球
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc9c9cfa597b444b5c9dbae7a825a695.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce066003c0a1f0879cbca2f32802e9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef49a3ca580a144cc65a609c167facc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc9c9cfa597b444b5c9dbae7a825a695.png)
您最近一年使用:0次
2020-08-07更新
|
2074次组卷
|
7卷引用:上海市七宝中学2019-2020学年高二下学期期末数学试题
上海市七宝中学2019-2020学年高二下学期期末数学试题(已下线)专题8.7 立体几何中的向量方法(练)-2021年新高考数学一轮复习讲练测(已下线)第八单元 立体几何 (A卷 基础过关检测)-2021年高考数学(理)一轮复习单元滚动双测卷上海交通大学附属中学2020-2021学年高二下学期开学考数学试题江苏省南通市海安县曲塘中学2020-2021学年高二上学期阶段性测试二数学试题重庆实验外国语学校2022届高三上学期入学考试数学试题(已下线)专题8.7 立体几何中的向量方法(练)- 2022年高考数学一轮复习讲练测(新教材新高考)