1 . 如图,在四棱线中,底面
为矩形,
平面
,点
是棱
的中点.
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30067b7b236d17af8a462f96a58d11bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68a7bf0da4f7c6f739d2e2461ad9b7.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfaa712e64750e3e2843bae68ebad6d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3d9fc62e8d6c61f0b1338a939b2f109.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68a7bf0da4f7c6f739d2e2461ad9b7.png)
您最近一年使用:0次
2 . 在如图所示的几何体中,
平面
是
的中点,
,
.
(1)求证:
平面
;
(2)求平面
与平面
所成夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4c3f9dd5d0343597a7f58a1989b537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3deeff8906bc596d92a7f177e854dd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7ad3a578f403b9e6b97fa2dc955fc11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5338f819dae23e41eb8d05cd1c227f45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/2/a5d9631b-49bf-480a-9899-174a984b0601.png?resizew=125)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1e0bd4b30dc777ac9da80f6baa3eb31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09afc70f448545336304333d5b5658b.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b9d54cbbf601f4583659771eb534997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65277734669566578cbb7d690bb200fb.png)
您最近一年使用:0次
名校
解题方法
3 . 如图,四棱锥
中,侧面PAD为等边三角形,线段AD的中点为O且
底面ABCD,
,
,E是PD的中点.
(1)证明:
平面PAB;
(2)点M在棱PC上,且直线BM与底面ABCD所成角为
,求平面MAB与平面ABD夹角的余弦值;
(3)在(2)的条件下,求点D到平面MAB的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e126c16032892966489053f44b9048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4299cca48ff6abfb252ef73b5e62317d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fcabb2cd91b86cb858159db535b1723.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/27/35ba03cd-1818-4543-ae0c-0fbcb17cecc6.png?resizew=211)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58a20ea69475dcf57a5ff18c13eceaaa.png)
(2)点M在棱PC上,且直线BM与底面ABCD所成角为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
(3)在(2)的条件下,求点D到平面MAB的距离.
您最近一年使用:0次
2023-05-26更新
|
1085次组卷
|
3卷引用:天津市河东区2023-2024学年高三上学期期中数学试题
名校
解题方法
4 . 如图,在五面体
中,四边形
为正方形,
平面
,
,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/49f61a5b-6ebc-471a-8e52-a1c52f6b040e.png?resizew=150)
(1)求证:
平面
;
(2)求直线
与平面
所成角的正弦值;
(3)求平面
与平面
夹角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dde327febef2331a4766a79b433cc02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1e0bd4b30dc777ac9da80f6baa3eb31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dde327febef2331a4766a79b433cc02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9390a8688fd466fb6b883b0d60dcd872.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ade06068471a9d76e32b417bef7551.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda0065dba34b90de18ad2d9009aefe3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74a39a7453e6994a580038828513c68c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9817e168dcc739c1b15e65cf3a9d1d1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/49f61a5b-6ebc-471a-8e52-a1c52f6b040e.png?resizew=150)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7592c4f01c8e06c7ee90df5b9413a9f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4734735213b599a9915e1ed91a5d8ce4.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500df0e782bb081e608f4bc1d576afcf.png)
(3)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4734735213b599a9915e1ed91a5d8ce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500df0e782bb081e608f4bc1d576afcf.png)
您最近一年使用:0次
2023-01-05更新
|
501次组卷
|
7卷引用:天津市河东区天铁第二中学2022-2023学年高二上学期期中模拟数学试题(四)
天津市河东区天铁第二中学2022-2023学年高二上学期期中模拟数学试题(四)天津市耀华中学2021届高三下学期二模数学试题(已下线)专题1.9 空间向量的应用-重难点题型精讲-2021-2022学年高二数学举一反三系列(人教A版2019选择性必修第一册)天津市耀华中学2021-2022学年高三上学期第一次月考数学试题(已下线)NO.4 练悟专区——解答题规范练-2022年高考数学二轮复习讲练测(新教材·新高考地区专用)天津市第一中学2022-2023学年高三上学期第三次月考数学试题天津市武清区杨村第一中学2023-2024学年高三上学期开学质量检测数学试题
5 . 如图,在多面体ABCDEF中,
平面ABCD,
,四边形ABCD是平行四边形,
,
,H为DE的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/20/8d78e571-c003-4feb-ac56-dd2e8e969d4b.png?resizew=196)
(1)证明:
平面BDE;
(2)若P是棱DE上一点,且
,求二面角
的夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7a38e6c6dfde2b19b6b47f35a439a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cfec129098ef31a6b9d07276f0d8db8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/767aa9f4cdd678299203a6677c7dad67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff9c7cbcc38b28d45c8539710e5b260a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/20/8d78e571-c003-4feb-ac56-dd2e8e969d4b.png?resizew=196)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a89943581de78cf360b86e74fc86ffc.png)
(2)若P是棱DE上一点,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc0c7035e9c4ef53d619cd533be5ae78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d2bff80c0bebea27845e415708e4348.png)
您最近一年使用:0次
解题方法
6 . 如图,在直三棱柱
中,
,
,M,N,Q分别为
,BC,AC的中点,点P在线段
上运动.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/24/ef139c6b-82ed-4414-94f1-7d3cbccecc22.png?resizew=162)
(1)证明:
平面PNQ;
(2)是否存在点P,使得平面PMN与平面ABC的夹角为60°?若存在,试确定点P的位置:若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36cf3bff56a7f4ab6c0008e90823025d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b4e8556f77d5f273ee1c3afe87175d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/008efa3204b3fe4cc234b507bc59fb14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbb16f7dbc4b9993c4efa0764df1d8ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/760ad64e1f3e9fe178e69897076db07e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/24/ef139c6b-82ed-4414-94f1-7d3cbccecc22.png?resizew=162)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1337ec0af72822be72c4bb4926a4e642.png)
(2)是否存在点P,使得平面PMN与平面ABC的夹角为60°?若存在,试确定点P的位置:若不存在,请说明理由.
您最近一年使用:0次
2022-10-20更新
|
245次组卷
|
2卷引用:天津市河东区天铁第二中学2022-2023学年高二上学期期中模拟数学试题(四)
7 . 直三棱柱
中,
,D为
的中点,E为
的中点,F为
的中点.
平面
;
(2)求直线
与平面
所成角的正弦值;
(3)求平面
与平面
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ec2c2836a67ea5fa56782777440c1a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f9d682e5d3cc8573574d8d11636758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0186d11008c7d66c85ed0d8d2e568908.png)
(3)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74bca84ad86c648d3bb20c8909c8da3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0186d11008c7d66c85ed0d8d2e568908.png)
您最近一年使用:0次
2022-07-25更新
|
19790次组卷
|
37卷引用:天津市第三十二中学2022-2023学年高三上学期期中数学试题
天津市第三十二中学2022-2023学年高三上学期期中数学试题江苏省扬州市宝应县2022-2023学年高二下学期期中数学试题河南省洛阳复兴学校2023-2024学年高二上学期期中考试数学模拟试题云南省昆明市云南师范大学附属中学西山学校2023-2024学年高二上学期期中考试数学试题天津市河西区2023-2024学年高二上学期11月期中数学试题重庆市部分学校2023-2024学年高二上学期期中数学试题2022年新高考天津数学高考真题(已下线)7.3 空间角(精讲)(已下线)2022年高考天津数学高考真题变式题7-9题(已下线)2022年高考天津数学高考真题变式题16-18题(已下线)第04讲 空间向量在立体几何中的应用(练,理科专用)天津市第四中学2022-2023学年高三上学期第一次月考数学试题河南省商城县观庙高级中学2022-2023学年高二上学期第一次月考理科数学试题上海市青浦高级中学2022-2023学年高二上学期期末数学试题天津市第四十一中学2022-2023学年高三上学期线上期末练习数学试题(已下线)专题08 立体几何解答题常考全归类(精讲精练)-1天津市咸水沽第一中学2021届高三下学期高考模拟(一)数学试题天津市武清区杨村第一中学2022-2023学年高二下学期开学检测数学试题天津市武清区黄花店中学2022-2023学年高三下学期开学测试数学试题江苏省常州市联盟学校2022-2023学年高二下学期3月学情调研数学试题(已下线)重组卷03(已下线)重组卷04(已下线)专题19 空间几何解答题(理科)-3第一章 空间向量与立体几何 (单元测)(已下线)第11讲 用空间向量研究距离、夹角问题11种常见考法归类-【暑假自学课】2023年新高二数学暑假精品课(人教A版2019选择性必修第一册)(已下线)第一章:空间向量与立体几何章末重点题型复习-【题型分类归纳】2023-2024学年高二数学同步讲与练(人教A版2019选择性必修第一册)天津市第二南开学校2024届高三上学期10月阶段评估数学试题陕西省西安市周至县第四中学2023-2024学年高二上学期第一次月考数学试题(已下线)第05讲 空间向量及其应用(练习)(已下线)期末真题必刷常考60题(32个考点专练)-【满分全攻略】2023-2024学年高二数学同步讲义全优学案(沪教版2020必修第三册)江苏省镇江市镇江中学2023-2024学年高二下学期见面(开学)考试数学试题天津市滨海新区塘沽第一中学2023-2024学年高二上学期期末数学练习9(已下线)重难点12 立体几何必考经典解答题全归类【九大题型】(已下线)通关练05 空间向量与立体几何近五年高考真题4考点精练(30题)- 【考点通关】2023-2024学年高二数学高频考点与解题策略(人教A版2019选择性必修第一册)江苏高二专题02立体几何与空间向量(第二部分)专题07立体几何与空间向量专题08立体几何与空间向量
名校
解题方法
8 . 如图,
垂直于梯形
所在平面,
,
为
中点,
,
,四边形
为矩形.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/21/52a4c523-128d-4069-9b42-1ebf9b8926fe.png?resizew=166)
(1)求证:
平面
;
(2)求二面角
的大小;
(3)在线段
上是否存在一点
,使得
与平面
所成角的大小为
?若存在,求出
的长;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deeb439906f6d463c9594b41bc4a9172.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/bbe7a201432af0a2f9d21c6803906f5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0046177466c78f08d45449dc5639bf38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5bf51c07144386bd23a422d9ceb140.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/21/52a4c523-128d-4069-9b42-1ebf9b8926fe.png?resizew=166)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f81fa367ec317fe2a30142e1c30cce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134ef0b1a2669a09f05bd4dc2496f706.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5a2fd95dfda3f70bc2d9fcd8380bf99.png)
(3)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6ede9761b5b90f8dc137708e1ee90f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1b489c25405ce48699d4f0a62820bed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632917e61f4208959686d118c7f19231.png)
您最近一年使用:0次
2022-07-13更新
|
2060次组卷
|
4卷引用:天津市第三十二中学2022-2023学年高三上学期期中数学试题
天津市第三十二中学2022-2023学年高三上学期期中数学试题天津市西青区杨柳青第一中学2021-2022学年高二实验班下学期期末适应性测试数学试题(已下线)第06讲 向量法求空间角(含探索性问题) (练)(已下线)突破1.4 空间向量的应用(重难点突破)
名校
9 . 如图,矩形
和梯形
,
,
,平面
平面
,且
,
,过
的平面交平面
于
.
![](https://img.xkw.com/dksih/QBM/2022/3/9/2932740014153728/2933079853506560/STEM/02ff7d9b80ed436baeddbe7977aa0716.png?resizew=211)
(1)求证:
;
(2)当
为
中点时,求点
到平面
的距离;
(3)若平面
与平面
的夹角的余弦值为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dde327febef2331a4766a79b433cc02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ad6f8846d4294ae3789a6ddd17af5b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b25eff69a4a0dc7a7ab183843303d333.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c674dc5024374f53920947c4cf4baf11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19bebae04c72b934bfbbf0b4d01f164f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a951292add4574c1debd16800674e1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dde327febef2331a4766a79b433cc02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://img.xkw.com/dksih/QBM/2022/3/9/2932740014153728/2933079853506560/STEM/02ff7d9b80ed436baeddbe7977aa0716.png?resizew=211)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7138d41bbee1ed2d7c5f86546a225c2.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abe38c885f29722c433022c4b2ae6211.png)
(3)若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abe38c885f29722c433022c4b2ae6211.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee14db57f0c762aad845cf5b4a243c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bd8a98e03f6bb5601c91e72e9102e44.png)
您最近一年使用:0次
2022-03-10更新
|
937次组卷
|
3卷引用:天津市第七中学2022-2023学年高三上学期期中数学试题
解题方法
10 . 如图,在三棱柱
中,
平面ABC,
,
,D,E分别是
,
的中点
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/97e451c2-276c-4ef7-adfd-4a1c5bc22d32.png?resizew=166)
(1)求证:
平面
;
(2)求平面
与平面
所成二面角的正弦值;
(3)在棱
上是否存在一点P,使得直线PD与平面
所成角正弦值为
?若存在,求出P点的坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5845ccc0d735dc14c92a8926d9b1def6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ba708880f5eb782acbf2c961c2494c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/97e451c2-276c-4ef7-adfd-4a1c5bc22d32.png?resizew=166)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeedfb16bc02a57c1d0fbc66396e518e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/923189afc198d153c79059a827f63c87.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b21b4c5e1b119a08f134f0b1285299.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/923189afc198d153c79059a827f63c87.png)
(3)在棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/923189afc198d153c79059a827f63c87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ec42ae1010746324df9d5d883413526.png)
您最近一年使用:0次