名校
1 . 如图,
平面
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/a45baf47-c0a1-42ae-af37-c08dab14ea45.png?resizew=161)
(1)求证:
平面
;
(2)若二面角
的余弦值为
,求直线
与平面
所成角的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4c3f9dd5d0343597a7f58a1989b537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a572ab3fbf0228c7a32efbf9629c2f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60595898e8028fce7fd88170e4868580.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/a45baf47-c0a1-42ae-af37-c08dab14ea45.png?resizew=161)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063510e3c1fb6a7ccc3b8e3e3c7d660e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09d9d486b7f91ba933210dd013a7f2c.png)
(2)若二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/147310251a463539f66374c1f452fb67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2319a01218514917e446dfc807a625ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
2022-01-03更新
|
1878次组卷
|
3卷引用:吉林省长春市东北师范大学附属中学2021-2022学年高三上学期第三次摸底考试理科数学试题
吉林省长春市东北师范大学附属中学2021-2022学年高三上学期第三次摸底考试理科数学试题(已下线)专题10 立体几何线面位置关系及空间角的计算(练)--第一篇 热点、难点突破篇-《2022年高考数学二轮复习讲练测(浙江专用)》四川省德阳市什邡中学2023-2024学年高二平实班上学期期中数学试题
名校
解题方法
2 . 如图,四棱锥
的底面是矩形,
底面
,
,
,M为
的中点.
![](https://img.xkw.com/dksih/QBM/2021/10/18/2831871944933376/2836352946962432/STEM/06986b827a114008b4da1de32bcf48a0.png?resizew=174)
(1)求证:
;
(2)求平面
与平面
所成的角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffddeafce03aae663bc823e2d5127c61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f144992e1cbee34868abce1e5ad38c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/2021/10/18/2831871944933376/2836352946962432/STEM/06986b827a114008b4da1de32bcf48a0.png?resizew=174)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/186e5e7efe51fd25b9e38dc0fa23de9d.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c745df4f226027778d5fe45b6501b822.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218054144a13435580cd132b9459546c.png)
您最近一年使用:0次
2021-10-24更新
|
6469次组卷
|
23卷引用:吉林省实验中学2021-2022学年高三上学期第二次学科诊断测试理科数学试题
吉林省实验中学2021-2022学年高三上学期第二次学科诊断测试理科数学试题江西省九江市第一中学2021-2022高二上学期第一次月考数学(理)试题(已下线)2021年高考全国乙卷数学(理)高考真题变式题16-20题(已下线)专题4.2 第一、二、三章(空间向量与立体几何、直线和圆的方程、圆锥曲线的方程)阶段检测(易)辽宁省沈阳市东北育才学校科学高中部2021-2022学年高二上学期第二次阶段检测数学试卷北京中央民族大学附属中学2023届高三零模数学试题(已下线)北京市中央民族大学附属中学2023届高三零模数学试题(已下线)1.4空间向量的应用A卷山西省运城市景胜中学2022-2023学年高二上学期9月月考数学(B)试题(已下线)2021年高考全国乙卷数学(理)高考真题变式题16-20题湖南省衡阳市祁东县育贤中学2022-2023学年高二上学期第一次月考数学试题山东省潍坊市昌邑市潍坊实验中学2022-2023学年高二上学期10月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9月月考文科数学试题黑龙江省哈尔滨市宾县第二中学2022-2023学年高二上学期第一次月考数学试题山西省运城市景胜中学2022-2023学年高二上学期11月月考数学(B)试题天津市蓟州中学2022-2023学年高二上学期期中练习二数学试题山东省潍坊市寿光现代中学2022-2023学年高二上学期10月月考数学试题河北省高碑店市崇德实验中学2022-2023学年高二上学期期中数学试题湖南省永州市第二十八中学2022-2023学年高二上学期期中数学试题湖南省长沙市宁乡市2022-2023学年高二上学期期末数学试题陕西省汉中市勉县第二中学2023-2024学年高二上学期第二次月考数学试题湖北省十堰市六县市区一中教联体2023-2024学年高二上学期12月联考数学试题福建省福州市城门中学2023-2024学年高二下学期开门考试数学试题
解题方法
3 . 如图,四面体
中,
.
![](https://img.xkw.com/dksih/QBM/2021/5/12/2719556588355584/2722161445707776/STEM/9acf7598-a935-4186-9277-1f7d9c68410c.png?resizew=211)
(1)指出四面体各面中与平面
垂直的面,并加以证明;
(2)若
,二面角
的大小为
,当
长度变化时,求
取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b40114b048a4736d62835c4896e1181c.png)
![](https://img.xkw.com/dksih/QBM/2021/5/12/2719556588355584/2722161445707776/STEM/9acf7598-a935-4186-9277-1f7d9c68410c.png?resizew=211)
(1)指出四面体各面中与平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/829018a6ca0aff95d89e3f7cd943274e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c2898853a3396f0878af9eac934416d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
您最近一年使用:0次
2021-05-16更新
|
301次组卷
|
2卷引用:2021届吉林省长春市高三四模数学理科试题
解题方法
4 . 已知斜三棱柱
,侧面
与底面
垂直,
,
,
,且
.
![](https://img.xkw.com/dksih/QBM/2021/5/6/2715234291294208/2719003004993536/STEM/0412f4c24c2d456b83051cc84ba416e1.png?resizew=258)
(1)试判断
与平面
是否垂直,并说明理由;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c14a66ed4bd66df65bc42c4ac1ed15c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5fa857b50de1e91ab075ced1be7855.png)
![](https://img.xkw.com/dksih/QBM/2021/5/6/2715234291294208/2719003004993536/STEM/0412f4c24c2d456b83051cc84ba416e1.png?resizew=258)
(1)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a696a182fff038a86b2bbe8ca099442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9afac7c616bbb14e1ed428a3c507c7dc.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5e5c679a0e221e02292b1c8b9e803fb.png)
您最近一年使用:0次
2021-05-11更新
|
584次组卷
|
2卷引用:吉林省吉林市2021届高三四模数学(理)试题
名校
解题方法
5 . 如图,在四棱锥
中,四边形
为平行四边形,以
为直径的圆O(O为圆心)过点A,且
底面
,M为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/02bad499-fd1b-45bd-b7d8-0b8d72e4c4c6.png?resizew=209)
(1)证明:平面
平面
.
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1ad3871b474733e47212b202f7645d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/02bad499-fd1b-45bd-b7d8-0b8d72e4c4c6.png?resizew=209)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6edfd337101a5c034ccbab0380727154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1037cf81f6feee108528c337b5a746bb.png)
您最近一年使用:0次
2021-05-09更新
|
1785次组卷
|
15卷引用:吉林省白山市2021届高三三模联考数学(理科)试题
吉林省白山市2021届高三三模联考数学(理科)试题吉林省白山市2021届高三第四次联考数学(理)试题陕西省榆林市2021届高三下学期第四次模拟考试理科数学试题云南、贵州、四川、广西四省2021届高三5月模拟联考数学(理)试题福建省莆田市2021届高三三模数学试卷宁夏银川市第二中学2021届高三二模数学(理)试题山西省晋城市2021届高三三模数学(理)试题广东省肇庆市百花中学2021届高三下学期5月模拟数学试题辽宁省朝阳市2021届高三高考数学三模试题山东省泰安市与济南市章丘区2021届高三5月联合模拟考试数学试题山东省2021届高三5月份高考数学联考试题湖南省部分学校2021届高三下学期联考数学试题山东省2021届高三5月联考数学试题重庆市缙云教育联盟2020-2021学年高二下学期期末数学试题甘肃省白银市靖远县2021届高三第四次联考数学(理)试题
6 . 如图,在四棱锥
中,
平面
,底面
是菱形,
.点
,
分别在棱
,
上(不包含端点),且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/22/6912383b-55ab-4d5e-9bbf-5a5172ad6a6d.png?resizew=182)
(1)证明:
平面
;
(2)若
,求二面角
的余弦值.
![](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/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/757cdf363fd92aa5655264bf8ec6f069.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/22/6912383b-55ab-4d5e-9bbf-5a5172ad6a6d.png?resizew=182)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f9d682e5d3cc8573574d8d11636758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af62a8c94bdc27efa2ec03e58d9400ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1069d514c3c32aeabd274475ee209ed6.png)
您最近一年使用:0次
2021-05-01更新
|
938次组卷
|
7卷引用:吉林内蒙古金太阳2021届高三联考试卷理科数学试题
吉林内蒙古金太阳2021届高三联考试卷理科数学试题湖北省十堰市2021届高三下学期4月调研数学试题四川省资阳市2021届高三高考适应性考试数学(理)试题内蒙古呼伦贝尔市2021届高三二模理科数学试题山西省晋城市高平一中、阳城一中、高平一中实验学校2020-2021学年高二下学期期中联考数学(理)试题(已下线)专题3.6 空间向量与立体几何-2021年高考数学解答题挑战满分专项训练(新高考地区专用)(已下线)考点53 章末检测八-备战2022年高考数学一轮复习考点帮(新高考地区专用)【学科网名师堂】
名校
解题方法
7 . 如图,在四棱锥
中,底面
是平行四边形,侧面
是等边三角形,
,
,面
面
,
、
分别为
、
的中点.
![](https://img.xkw.com/dksih/QBM/2021/4/11/2697716871135232/2701817533325312/STEM/89982d5c-16c0-48f7-86dd-6a6f7d870f41.png?resizew=231)
(1)证明:面
面
;
(2)求面
与面
所成锐二面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc1d36437d9e50f560536853ecd636d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/386c7de62e8f9a8161ebaefe6b4ec35e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a3fd5284e160896f07ce367645fd04.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/2021/4/11/2697716871135232/2701817533325312/STEM/89982d5c-16c0-48f7-86dd-6a6f7d870f41.png?resizew=231)
(1)证明:面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f020ca4ad44801691235958e253907d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(2)求面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d246f9eceab371ebf47a47c2f11a4ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
您最近一年使用:0次
2021-04-17更新
|
1591次组卷
|
6卷引用:吉林省松原市长岭县第二中学2021届高三下学期三模考试数学试题
吉林省松原市长岭县第二中学2021届高三下学期三模考试数学试题山东省(新高考)2021届数学学科仿真模拟标准卷试题(一)湖南省长郡十五校2021届高三下学期第二次联考数学试题(已下线)押第18题 立体几何-备战2021年高考数学(理)临考题号押题(全国卷1)重庆市第八中学校2021届高三下学期定时诊断数学试题(已下线)专题2.7 空间向量与立体几何-2021年高考数学解答题挑战满分专项训练(新高考地区专用)
8 . 如图,在三棱柱
中,侧棱
底面
是
中点,
是
中点,
是
与
的交点,点
在线段
上.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/c742c326-7f87-4ea6-91e8-383526bfd7ed.png?resizew=168)
(1)求证:
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4e7552a39c412d882766dbcd7eeb69.png)
(2)若二面角
的余弦值是
,求点
到平面
的距离
![](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/3f4aa1e63927bca199e6dfae83622f77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee16c91119c5601a7c93a6642c95e7f8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/c742c326-7f87-4ea6-91e8-383526bfd7ed.png?resizew=168)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e258c6995b058164df335e154692b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4e7552a39c412d882766dbcd7eeb69.png)
(2)若二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fa2fb03002a3c4e58c4bf3c81a22c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827ccf0c04aa941ba20d5f4c6068b46b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4e7552a39c412d882766dbcd7eeb69.png)
您最近一年使用:0次
2021-04-02更新
|
1356次组卷
|
4卷引用:吉林省吉林市普通中学2020-2021学年高三第三次调研测试理科数学试试题
吉林省吉林市普通中学2020-2021学年高三第三次调研测试理科数学试试题吉林省吉林市2021届高三三模数学(文)试题(已下线)1.4 空间向量的应用(精练)-2021-2022学年高二数学一隅三反系列(人教A版2019选择性必修第一册)河南省名校联盟2021-2022学年高三下学期第二次模拟理科数学试题
名校
解题方法
9 . 已知三棱柱
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f2c649fe991df124faaef9dc8876c22.png)
为棱
上一点,若
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/12/bbc9704d-25f1-40fc-8e6b-32ddd79c3d50.png?resizew=230)
(1)求证:平面
平面
;
(2)求平面
与平面
所成锐二面角的余弦值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7360af568aad5d3fef175b8f724608ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f2c649fe991df124faaef9dc8876c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a67748ec0c45c03e3e2204c49176ece.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e11e0ddd36d9ada1d85dec83d043e128.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/12/bbc9704d-25f1-40fc-8e6b-32ddd79c3d50.png?resizew=230)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3065be25fc3f94fb8af53de753fce4f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09fcdbb5f985233acdf8c1dabdab1d17.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e53b212640dadf751ef7f65a78a209.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09fcdbb5f985233acdf8c1dabdab1d17.png)
您最近一年使用:0次
2021-03-20更新
|
692次组卷
|
3卷引用:吉林省长春市 2021届高三二模数学(理)试题
名校
解题方法
10 . 如图,在四棱锥
中,底面
为正方形,
⊥底面
,
,
为
的中点,
为线段
上的动点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/51c9e34a-545d-4e85-9890-83a5271594bd.png?resizew=192)
(Ⅰ)求证:平面
平面
;
(Ⅱ)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/829f9180ddd9aa1a0ee0dc520f4e0b5f.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/51c9e34a-545d-4e85-9890-83a5271594bd.png?resizew=192)
(Ⅰ)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6501f1c913a4ef64957a2f01ab5baa15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(Ⅱ)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae9efe0163c030c2f493258c8b3635ee.png)
您最近一年使用:0次
2020-09-21更新
|
549次组卷
|
5卷引用:吉林省长春市普通高中2021届高三一模数学理科试题
吉林省长春市普通高中2021届高三一模数学理科试题吉林省长春外国语学校2021-2022学年高三上学期期初考试数学(理)试题吉林省长春市2021届高三质量监测理科数学一模试题吉林省长春市第六中学2022-2023学年高三上学期第一次月考数学试题(已下线)【南昌新东方】江西省南昌十七中2020-2021学年高三上学期10月第一次月考数学(理)试题