名校
解题方法
1 . 四棱锥
中,
底面
,
,
,
,
,
是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/2585f887-45df-4e9c-a89a-399d38013234.png?resizew=207)
(1)求证:平面
平面
;
(2)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c83f8945042b9c8fb2fbdac9308d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e0a957a55460c72673c0f2ee90dbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c800b6aabdc453e2c7e343061e9c6a78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5679a74e9f5506266ab627894ab03243.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bf7fd88470d11083cb88f210fbc62f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/2585f887-45df-4e9c-a89a-399d38013234.png?resizew=207)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dd470cd9dfcde7f7e1762af28bc649c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ea440fcc8f186f5de9105b18e152152.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2bc5e50b8dfa02601c70822252854a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5000fea066102e62cf2128ccbbd2b3e3.png)
您最近一年使用:0次
2021-11-20更新
|
362次组卷
|
2卷引用:江西省景德镇市第一中学2021-2022学年高二上学期期中数学(理)试题
名校
2 . 已知直线
过点
,平行于向量
,平面
经过直线
和点
,则平面
的一个法向量
的坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef6e7720e3df702764138618f49c021.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a10e6bc9914a1f1f06cd1bbe5e03cb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/225ba5c75f7c9c1b40f1e8b0742b5d9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f1a8e551cba7ec9f451749f60e628d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2021-11-20更新
|
333次组卷
|
2卷引用:江西省景德镇市第一中学2021-2022学年高二上学期期中数学(理)试题
名校
解题方法
3 . 如图,在四棱锥
中,四边形ABCD是矩形,△SAD是等边三角形,平面
平面ABCD,AB=1,P为棱AD的中点,四棱锥
的体积为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/13/699e2ab0-a565-4273-abb9-10cd78d75887.png?resizew=215)
(1)若E为棱SA的中点,F为棱SB的中点,求证:平面
平面SCD.
(2)在棱SA上是否存在点M,使得平面PMB与平面SAD所成锐二面角的余弦值为
?若存在,指出点M的位置;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/877582b5387278008d14fe5932622fe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18483c9c195ecd922772527fa85c0fcb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/13/699e2ab0-a565-4273-abb9-10cd78d75887.png?resizew=215)
(1)若E为棱SA的中点,F为棱SB的中点,求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d137beae8a0b111697e796459a2ab975.png)
(2)在棱SA上是否存在点M,使得平面PMB与平面SAD所成锐二面角的余弦值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38cb57b942813635ef4e4c3bea67928f.png)
您最近一年使用:0次
2022-08-11更新
|
4996次组卷
|
28卷引用:江西省景德镇一中2022-2023学年高二(19班)上学期期中考试数学试题
江西省景德镇一中2022-2023学年高二(19班)上学期期中考试数学试题人教A版(2019) 选择性必修第一册 过关斩将 第一章 空间向量与立体几何 本章达标检测江苏省南京市金陵中学2020-2021学年高二上学期10月月考数学试题(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)(已下线)第一章 空间向量与立体几何(本章达标检测试卷)-2021-2022学年高二数学同步练习和分类专题教案(人教A版2019选择性必修第一册)湖北省武汉市蔡甸区汉阳一中2021-2022学年高二上学期9月月考数学试题福建省福州市闽侯县第一中学2021-2022学年高二10月月考数学试题广东省中山市华侨中学2021-2022学年高二上学期第一次段考数学试题(已下线)卷04 高二上学期10月第一次月考——重难点突破 B卷-【重难点突破】2021-2022学年高二数学上册常考题专练(人教A版2019选择性必修第一册)重庆市青木关中学2020-2021学年高二上学期期中数学试题2023版 北师大版(2019) 选修第一册 突围者 第三章 专项拓展训练2 利用空间向量解决立体几何中的探索性问题章节综合测试-空间向量与立体几何河南省濮阳市第一高级中学2022-2023学年高二上学期第一次质量检测数学试题河南省郑州市第一〇六高级中学2022-2023学年高二上学期9月月考数学试题湖南省怀化市湖天中学2022-2023学年高二上学期期中数学试题广东省江门市广雅中学2022-2023学年高二下学期3月教学质量检测数学试题(B卷)(已下线)第一章 空间向量与立体几何(单元提升卷)-2022-2023学年高二数学考试满分全攻略(人教A版2019选择性必修第一册)河南省濮阳市第一高级中学2023-2024学年高二上学期9月月考数学试题山东省临沂市临沭县临沭第一中学2023-2024学年高二上学期10月月考数学试题广东省东莞市石竹实验学校2023-2024学年高二上学期10月月考数学试题河南省潢川第一中学2023-2024学年高二上学期第一次月考数学试题湖南省郴州市明星高级中学2023-2024学年高二上学期期中数学试题(已下线)模块一 专题2 B 空间向量的应用提升卷 期末终极研习室高二人教A版重庆市黔江中学校2023-2024学年高二上学期10月考试数学试题山东省新高考质量测评联盟2019-2020学年高三上学期10月联考数学试题(已下线)理科数学-2021年高考考前20天终极冲刺攻略(三)(课标全国卷)(5月26日)江苏省常州市第一中学2022-2023学年高三上学期期初检测数学试题江苏省镇江市扬中市第二高级中学2023-2024学年高三上学期诊断性测试数学试题
名校
4 . 已知三棱柱
中,
,
是
的中点,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/16/ba1e336b-75c0-445a-bb5e-5d1bf67c9d43.png?resizew=216)
(1)证明:
;
(2)若侧面
是正方形,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/4639a9dc0bc99101cbde59fef04b4a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25a0b476b289ac25846a989a90059376.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0acdac99ea95c00e80fbf49941ba2803.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/16/ba1e336b-75c0-445a-bb5e-5d1bf67c9d43.png?resizew=216)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
(2)若侧面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ba9e20d667d04bf3ee7f55cc795ce01.png)
您最近一年使用:0次
名校
5 . 如图,棱长为
的正方体
中,
、
分别为棱
、
的中点,
为面对角线
上一个动点,则( )
![](https://img.xkw.com/dksih/QBM/2021/5/8/2716531541680128/2744334151917568/STEM/380aec68-384e-4dc3-8666-9da054de69a7.png?resizew=229)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.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/394c5d2f55221975503be8aa18022480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
![](https://img.xkw.com/dksih/QBM/2021/5/8/2716531541680128/2744334151917568/STEM/380aec68-384e-4dc3-8666-9da054de69a7.png?resizew=229)
A.三棱锥![]() ![]() |
B.存在![]() ![]() ![]() ![]() |
C.![]() ![]() ![]() ![]() |
D.三棱锥![]() ![]() |
您最近一年使用:0次
2021-06-16更新
|
2532次组卷
|
8卷引用:江西省景德镇市昌江区景德镇一中2023-2024学年高二上学期11月期中考试数学试题
江西省景德镇市昌江区景德镇一中2023-2024学年高二上学期11月期中考试数学试题重庆市荣昌中学校2020-2021学年高二上学期十月月考数学试题广东省广雅中学2021-2022学年高二上学期期中数学试题广东省广州市增城区增城中学2021-2022学年高二上学期第二阶段测试数学试题(已下线)高二上学期期中【全真模拟卷03】(测试范围:选修一全部内容)-2022-2023学年高二数学考试满分全攻略(人教A版2019选修第一册)山东省烟台市2021届高三高考适应性练习(一)数学试题(已下线)专题04 立体几何-备战2022年高考数学母题题源解密(新高考版)(已下线)专题10 导数及其应用-备战2022年高考数学母题题源解密(新高考版)
2021·全国·模拟预测
名校
解题方法
6 . 如图,在四棱锥
中,
,
平面
,
,
,则异面直线
与
所成角的余弦值为( )
![](https://img.xkw.com/dksih/QBM/2021/5/18/2723895742758912/2723948992937984/STEM/d1746470-54cb-4af7-a8a5-48f08e43a9a9.png?resizew=128)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5164a3cc47e266446d49127e2ef10c37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cde22e40db8a575a4bdffe9e3dc93a9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662698361c6b3ddaf0c28a3c87be53e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50f218914337edd06e59e75d90b777e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/346980d12a427aa2b734e4ab394e83ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://img.xkw.com/dksih/QBM/2021/5/18/2723895742758912/2723948992937984/STEM/d1746470-54cb-4af7-a8a5-48f08e43a9a9.png?resizew=128)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2021-05-22更新
|
307次组卷
|
4卷引用:江西省景德镇一中2020-2021学年高二下学期期末数学(1班)试题
江西省景德镇一中2020-2021学年高二下学期期末数学(1班)试题广西贵港市江南中学2021-2022学年高二12月月考数学(理)试题(已下线)2021年高考最后一卷理科数学(第二模拟)(已下线)2021新高考高考最后一卷数学第二模拟
2021·全国·模拟预测
名校
解题方法
7 . 如图,直三棱柱
中,
,
,
,点
为
的中点,现将
绕直线
旋转,使得点
与平面
内的点
重合.
![](https://img.xkw.com/dksih/QBM/2021/5/18/2723895742758912/2723948994732032/STEM/02e02db6-5701-4170-9e8d-14ee287fd748.png?resizew=291)
(1)求证:
;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/986ba572d8373df48c996f8c8611498c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b929269c53a44907dba8ee298a0a522.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d70676406f26d339465fe3473c0c05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://img.xkw.com/dksih/QBM/2021/5/18/2723895742758912/2723948994732032/STEM/02e02db6-5701-4170-9e8d-14ee287fd748.png?resizew=291)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d36d93a6399a1c164f8f09a56443380.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8653a84fd436378c5634b2188867275.png)
您最近一年使用:0次
2021-05-18更新
|
399次组卷
|
5卷引用:江西省景德镇一中2020-2021学年高二下学期期末数学(1班)试题
江西省景德镇一中2020-2021学年高二下学期期末数学(1班)试题(已下线)2021年高考最后一卷理科数学(第二模拟)(已下线)2021新高考高考最后一卷数学第四模拟广西梧州市2023届高三上学期第一次模拟测试数学(理)试题(已下线)专题14立体几何(解答题)
名校
8 . 如图,已知四棱锥
,其中
,
,
,
,侧面
底面
,
是
上一点,且
是等边三角形.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/18/25f65bc1-5e93-47cb-bfc2-9612d39845f4.png?resizew=180)
(1)求证:
平面
;
(2)当点
到
的距离取最大值时,求平面
与平面
的夹角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f571396be1aa4a8914a66f7d7abd6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d40978fbe52316daaaa6bdbb403fea0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ea9d92e5c258a50af1e461c7388894.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b6e6192cf24ada791c26c2d6d434069.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/3d4db9b82b67efe45a02fca32bfcf5dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2b265d121f9ebc13671a5719604476a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/18/25f65bc1-5e93-47cb-bfc2-9612d39845f4.png?resizew=180)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44b190c8d3d7d7d0e6e959e8a52eae90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc9c9cfa597b444b5c9dbae7a825a695.png)
(2)当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2bc5e50b8dfa02601c70822252854a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc9c9cfa597b444b5c9dbae7a825a695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ef796b46e68fe77b117ff0483d2370c.png)
您最近一年使用:0次
2021-02-03更新
|
1754次组卷
|
5卷引用:江西省景德镇市2020-2021学年高二上学期期末数学(理)试题
江西省景德镇市2020-2021学年高二上学期期末数学(理)试题(已下线)专题05 空间向量与立体几何(重点)-2020-2021学年高二数学下学期期末专项复习(北师大版2019选择性必修第一册、第二册)(已下线)专题03 空间向量与立体几何的压轴题(一)-【尖子生专用】2021-2022学年高二数学考点培优训练(人教A版2019选择性必修第一册)湖北省武汉市第三中学2021-2022学年高二上学期10月月考数学试题江苏省盐城市响水中学2021-2022学年高二下学期第一次学情分析考试数学试题
9 . 已知正四面体
的棱长为
,
为
的中心,
为
上一点且满足
、
、
两两垂直.过点
作平面
,其中
、
、
位于平面
的同一侧,
是平面
的单位法向量且指向另外一侧,
、
两点到平面
的距离分别为1和
.以
为坐标原点,
、
、
为
、
、
轴建立空间直角坐标系(如图所示),则
的坐标为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac5c3d1c5c220a5f83992de597d4fd9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.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/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac5c3d1c5c220a5f83992de597d4fd9e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/2589baa5-654d-4f64-94e1-63482cad58a6.png?resizew=199)
您最近一年使用:0次
解题方法
10 . 如图四棱锥
,
是平行四边形,
,
,
为等边三角形,且平面
平面
,
是
边的中点,
是侧棱
上的一点.
![](https://img.xkw.com/dksih/QBM/2021/1/29/2646828983508992/2650338857140224/STEM/34a5d51e71fa4e729d93b8934b412b44.png?resizew=213)
(1)是否存在这样的点
,使得
平面
?若存在,请求出
的值,若不存在,请说明理由;
(2)在(1)的条件下,求异面直线
与
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b9f4b154a308c3613409cc65486644.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/650c6c818df102a83ce5159e3208d01a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5830322dd2824ed012a68f1a2bd9c742.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/877582b5387278008d14fe5932622fe7.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2bc5e50b8dfa02601c70822252854a.png)
![](https://img.xkw.com/dksih/QBM/2021/1/29/2646828983508992/2650338857140224/STEM/34a5d51e71fa4e729d93b8934b412b44.png?resizew=213)
(1)是否存在这样的点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f9d682e5d3cc8573574d8d11636758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d923a338dd2d2e29336b42574d38448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/289191c79624ccbc9fa9b9f03d376383.png)
(2)在(1)的条件下,求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
您最近一年使用:0次