名校
1 . 如图,在四棱锥
中,
平面
,
,
,
,
为
中点,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/18b9bac0-d4de-4d6c-9b69-747b73fead9c.png?resizew=233)
(1)求证:BC//平面
;
(2)求直线
与平面
所成角的正弦值.
![](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/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a923784f083b7f4777891afe06b44e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c14a66ed4bd66df65bc42c4ac1ed15c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aa1162d5481e2441fe5bc0d49a576b0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/18b9bac0-d4de-4d6c-9b69-747b73fead9c.png?resizew=233)
(1)求证:BC//平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
您最近一年使用:0次
2021-08-16更新
|
1295次组卷
|
4卷引用:一轮复习大题专练49—立体几何(线面角1)—2022届高三数学一轮复习
(已下线)一轮复习大题专练49—立体几何(线面角1)—2022届高三数学一轮复习北京市第二十二中学2022届高三上学期期中数学试题北京市延庆区2020-2021学年高二下学期期末考试数学试题四川省宜宾市叙州区第一中学校2022-2023学年高二下学期期中理科数学试题
2 . 如图所示,
为圆锥
底面圆的直径,点
为底面半圆弧
上不与
,
重合的一点,设点
为劣弧
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/13/28f67cc3-193c-4baa-b9ec-8ebfaaf5a18d.png?resizew=165)
(1)求证:
.
(2)设
,且圆锥的高为3,当
时,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/13/28f67cc3-193c-4baa-b9ec-8ebfaaf5a18d.png?resizew=165)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9971233dc3e8ef828046fbb94101b9d0.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57fdd2a3642716fcf5100011eb3ec88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae8f249c2bec5e988d4b1d233c80c5b4.png)
您最近一年使用:0次
名校
解题方法
3 . 空间直角坐标系
中,经过点
,且法向量为
的平面方程为
,经过点
且一个方向向量为
的直线l的方程为
,根据上面的材料解决下面的问题:现给出平面
的方程为
,经过点
的直线l的方程为
,则直线l与平面
所成角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5e336d6ca2cae3d6e6c3810d7e521a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf95be25d34a7366bf4060d081329c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0affc915e009d346f3dd8da3df22f410.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff4c767999174c06cee1c45b8fa908d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf95be25d34a7366bf4060d081329c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a014d07cd92e8543595ea6ea0c07cd32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c11789b473e61f9a17eafea36d1a531.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c185897406ce1a69098e22c800f704db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c8bb2a267bd5fd30513a259168c50f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9651ed1b95f8ea668aab017a8e1a9d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2021-06-08更新
|
949次组卷
|
7卷引用:湖南省衡阳市第八中学2021届高三下学期考前预测(三)数学试题
湖南省衡阳市第八中学2021届高三下学期考前预测(三)数学试题(已下线)考点27 利用空间向量求空间角-备战2022年高考数学(理)一轮复习考点微专题(已下线)专题06 空间向量与立体几何(突破训练)-备战2022年高考数学二轮复习重难考点专项突破训练(全国通用)1号卷·A10联盟2022届全国高考第一轮总复习试卷数学(理科)试题(十五)广东省珠海市第二中学2021-2022学年高二上学期月考数学试题(已下线)1.4空间向量的应用B卷广东省深圳外国语学校2022-2023学年高二上学期第一次月考数学试题
名校
4 . 如图,
,
是两条互相垂直的异面直线,点
、
在直线
上,点
、
在直线
上,
、
分别是线段
、
的中点,且
,
.
![](https://img.xkw.com/dksih/QBM/2021/6/2/2734521055207424/2736339753345024/STEM/f9696d244bb64f5f944dd5ab54a528e0.png?resizew=174)
(1)证明:
平面
;
(2)设平面
与平面
所成的角为
.现给出下列四个条件:
①
;②
;③
;④
.
请你从中再选择两个条件以确定
的值,并求之.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.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/3f6f17bc385bafb37e8f964e5eb99cd0.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e5525e0a6ba3d15ecfe230ee80d092c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad3643fbbf4e0775dea240dff8fd6dad.png)
![](https://img.xkw.com/dksih/QBM/2021/6/2/2734521055207424/2736339753345024/STEM/f9696d244bb64f5f944dd5ab54a528e0.png?resizew=174)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f1897a7e856b42f8cee0f286ad913d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)设平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588690c4a218025937357ffab8d63c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab72c2fb8817dc52c9c8a798d9bbb483.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de71e0754890ef6b886514e0c6ddde97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2082fe5770b07e6283a2e2b52b6c3779.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b47a08a25693bbfa01026573625ad15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d900531973c546625694146fa1509ab9.png)
请你从中再选择两个条件以确定
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
您最近一年使用:0次
2021-06-05更新
|
1971次组卷
|
5卷引用:福建省福建师范大学附属中学2021届高三启明级校模拟考试数学试题
福建省福建师范大学附属中学2021届高三启明级校模拟考试数学试题河南省2022届普通高中毕业班高考适应性测试理科数学试题(已下线)二轮拔高卷06-【赢在高考·黄金20卷】备战2022年高考数学(理)模拟卷(全国卷专用)(已下线)专题6 第3讲 立体几何中的向量方法沪教版(2020) 选修第一册 新课改一课一练 第3章 单元复习
名校
解题方法
5 . 如图所示,在四棱锥
中,平面
平面
,
为等边三角形,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/7914d301-b168-411b-b385-329554970493.jpg?resizew=157)
(1)求四棱锥
的体积;
(2)求平面
与平面
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac8fe4026f1a0745ab9aa9fe64f0e482.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/958330f56d75b05fbf9144e6fd458be4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/7914d301-b168-411b-b385-329554970493.jpg?resizew=157)
(1)求四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
您最近一年使用:0次
6 . 如图,在三棱锥
中,
,
,
,
,直线
与平面
所成角为
,
在
上且
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/cbbe3b87-562c-43ca-8cb0-240b796e4d9f.png?resizew=170)
(1)若
,求证:平面
平面
;
(2)若
,求直线
与平面
所成角的正弦值的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3570a95f68349fcd9417fcda62e78e7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4fde24e68a4db5d618e608082b0781e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b96fac11d72f72c805dbddb8da72d68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dee6c1410e79934b560642684807e70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ba7a4f5ec17e1792c9a7ed23349bbbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eb6bf23a5a12e1ba5413594d7b1a57c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/cbbe3b87-562c-43ca-8cb0-240b796e4d9f.png?resizew=170)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bbd432d8e24ffec6bd5782d0e9dcb1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d7090639341730951c1bc3c9b6164e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c9909a043e0fc127af97617b67576eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6ede9761b5b90f8dc137708e1ee90f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
您最近一年使用:0次
名校
解题方法
7 . 如图,在三棱柱
中,
,
,四边形
是菱形,
,平面ABB1A1⊥平面ABC,点
是
中点,点
是
上靠近
点的三等分点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/0367339c-fbc9-4a69-b811-46dbd0403ca0.jpg?resizew=207)
(1)证明:
;
(2)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86cab6037cdd25b50d219550046a37fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/0367339c-fbc9-4a69-b811-46dbd0403ca0.jpg?resizew=207)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b5068a142c39664e25539d27be030b.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a8035fc825a001d7d9a3dacd8271662.png)
您最近一年使用:0次
2021-06-03更新
|
1552次组卷
|
6卷引用:百师联盟2021届高三冲刺卷(二)新高考卷数学试题
百师联盟2021届高三冲刺卷(二)新高考卷数学试题(已下线)7.5 空间向量求空间角(精讲)-【一隅三反】2022年高考数学一轮复习(新高考地区专用)(已下线)秘籍06 空间向量与立体几何(理)-备战2022年高考数学抢分秘籍(全国通用)(已下线)专题19 空间几何解答题(理科)-1浙江省绍兴市鲁迅中学2022-2023学年高二普通班上学期期末模拟数学试题江西省宜春市宜丰县宜丰中学2022-2023学年高二上学期第三次月考(12月)数学试题
名校
8 . 如图,在四棱锥
中,平面
平面
,
,
,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/2021/5/11/2718627252404224/2719709336920064/STEM/0c75e768-3696-4432-8c6e-1dbc6a71b9b8.png)
(1)求证:
平面
;
(2)求直线
与平面
所成角的正弦值;
(3)在棱
上是否存在点
,使得平面
与平面
所成的锐二面角余弦值为
?若存在,求
的值;若不存在、说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5732edb0ebc901cc220dca71f96775d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62974d34de3a12418d6b700420afd1b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/958330f56d75b05fbf9144e6fd458be4.png)
![](https://img.xkw.com/dksih/QBM/2021/5/11/2718627252404224/2719709336920064/STEM/0c75e768-3696-4432-8c6e-1dbc6a71b9b8.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
(3)在棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f239fbcc58fc15535db4b5084c4f7253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69d048ac0c9b13b54417c2e2de17082b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f32f82942e12701f6ba4b87d02291b1.png)
您最近一年使用:0次
名校
9 . 已知正方形的边长为4,
、
分别为
、
的中点,以
为棱将正方形
折成如图所示的60°的二面角,点
在线段
上.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/eeed4286-85b4-4cee-b444-913d2056bcd8.png?resizew=355)
(1)若
为
的中点,且直线
与由
,
,
三点所确定平面的交点为
,试确定点
的位置,并证明直线
平面
;
(2)是否存在点
,使得直线
与平面
所成的角为60°?若存在,求线段
的长,若不存在,请说明理由.
![](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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/eeed4286-85b4-4cee-b444-913d2056bcd8.png?resizew=355)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907d5147cea4c9ce855074864fe54506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6072ec6dfc0203cabb1fe289a5ddc8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/558ce69401f3c97930f00ba0e2aa6647.png)
(2)是否存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/558ce69401f3c97930f00ba0e2aa6647.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
您最近一年使用:0次
21-22高二上·浙江·期末
名校
10 . 如图,在四棱锥
中,
,面
面
,M为
的中点.
![](https://img.xkw.com/dksih/QBM/2021/5/6/2715478096633856/2715717048090624/STEM/d76f136a01df41fc8528567427fa3c21.png?resizew=188)
(Ⅰ)求证:
;
(Ⅱ)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c753cb1eb73fd8d136d00462970797.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abd98da18aa05708c279a0fabcbc6f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3abb27f8d654064a92f9d7a11e586ab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee10bfa63ab58c5027bc0af0c0d016f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccaee8f228ff24e7c89879bb5b999cf2.png)
![](https://img.xkw.com/dksih/QBM/2021/5/6/2715478096633856/2715717048090624/STEM/d76f136a01df41fc8528567427fa3c21.png?resizew=188)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7aaccd4f94fac8096a6cf70d94eb589.png)
(Ⅱ)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500df0e782bb081e608f4bc1d576afcf.png)
您最近一年使用:0次
2021-05-07更新
|
2547次组卷
|
6卷引用:广西南宁市第三中学2021届高三二模数学(理)试题
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