名校
解题方法
1 . 如图所示,在四棱锥
中,底面
为平行四边形,
,
,且
底面
.
![](https://img.xkw.com/dksih/QBM/2020/8/15/2528240295264256/2531127757742080/STEM/e6e3e8b491b44fecb1479bd3409be5fe.png?resizew=298)
(1)证明:
平面
;
(2)若
为
的中点,求三棱锥
的体积.
![](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/abc28e69c1ba0aac981256887f7dfa94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c3f15f3725dc69af03fb68c639796c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/2020/8/15/2528240295264256/2531127757742080/STEM/e6e3e8b491b44fecb1479bd3409be5fe.png?resizew=298)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ffc6952e988d04f22f0fb2f7f0ab7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
(2)若
![](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/e2e40a351eff6e90e3008328eca0cc8f.png)
您最近一年使用:0次
2020-08-19更新
|
265次组卷
|
4卷引用:湖北省武汉市华中师范大学第一附属中学2020届高三下学期高考押题考试文科数学试题
湖北省武汉市华中师范大学第一附属中学2020届高三下学期高考押题考试文科数学试题(已下线)专题20 立体几何综合-2020年高考数学(文)母题题源解密(全国Ⅱ专版)河南省洛阳市第一高级中学2022届高三数学终极猜题卷全国卷(文)试题河南省信阳高级中学2021-2022学年高二下学期期末考试数学(文科)试题
名校
解题方法
2 . 已知梯形
中,
,
,
,
,
分别是
,
上的点,
,
,沿
将梯形
翻折,使平面
平面
(如图).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/0966c234-3aa3-4983-99d6-65cfbaf4312e.png?resizew=309)
(1)当
时,①证明:
平面
;②求二面角
的余弦值;
(2)三棱锥
的体积是否可能等于几何体
体积的
?并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f571396be1aa4a8914a66f7d7abd6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8d3947804a878a87052c266be475423.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fcb0ab3b6099434e4cdde2ea871f3f1.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/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d459cad63e3cd2aba10862800fa4832.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c30f73c718bde8352055a14987fc15.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/77d8c77f758b4a06c320be39ecb328f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e826b8202fa0e17245dcc68426c923a9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/0966c234-3aa3-4983-99d6-65cfbaf4312e.png?resizew=309)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a5f445af1ae136773cb338920552ff2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09afc70f448545336304333d5b5658b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febe72169c8dd4ecb57eadf7256dcbeb.png)
(2)三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67445ee86986aa474e8d71641d46b2e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b575beb309541b02c629700b21e9c8a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d86ab7c97cd8a0b15ba5efc1be94230.png)
您最近一年使用:0次
2020-08-16更新
|
1431次组卷
|
7卷引用:浙江省绍兴市鲁迅中学2019-2020学年高二上学期期中数学试题
名校
解题方法
3 . 在等腰直角三角形
中,
,D为
的中点,将它沿
翻折,使点A与点B间的距离为
,此时四面体
的外接球的体积为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21a0a1fa689294b876e8daf02e55c8e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b27567d43c5b91382ee3d7ca708ee422.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
2020-08-16更新
|
631次组卷
|
3卷引用:湖北省荆、荆、襄、宜四地七校考试联盟2019-2020学年高一下学期期中联考数学试题
湖北省荆、荆、襄、宜四地七校考试联盟2019-2020学年高一下学期期中联考数学试题河北省石家庄正定中学2021届高三上学期第二次半月考数学试题(已下线)专题16 立体几何问题——2020年高考数学母题题源解密(山东、海南专版)
4 . 如图,在三棱锥
中,
平面
,
是等边三角形,点
,
分别为
,
的中点,
,
.
![](https://img.xkw.com/dksih/QBM/2020/8/8/2523556290363392/2524784413491200/STEM/5cdbb945456644de9fccac4fd48073f6.png?resizew=205)
(1)求证:平面
平面
;
(2)在线段
上是否存在点
,使得直线
与平面
所成角的正弦值为
?若存在,确定点
的位置;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc532cfe64300cb3da9e04a307c957a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://img.xkw.com/dksih/QBM/2020/8/8/2523556290363392/2524784413491200/STEM/5cdbb945456644de9fccac4fd48073f6.png?resizew=205)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e51838e395dfc9d9ef597d9e01f46272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(2)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83303d3784492506fc44f2b4d6b07bc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
您最近一年使用:0次
名校
5 . 如图,在四棱锥
中,底面是边长为2的正方形,且
,
,M、N分别为
、
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/4/eab1aff7-d3a6-4d0a-985f-6ec343721f40.png?resizew=184)
(1)求证:
;
(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/2418a4e59a3d9a27cda7c51c8c7df441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb8c91e4c85a9da7f54b2237d870a50d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/4/eab1aff7-d3a6-4d0a-985f-6ec343721f40.png?resizew=184)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d451324445a93eb518abdc2bd9a4733.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de54921b7079102fd045f63335f05e9.png)
您最近一年使用:0次
2020-08-10更新
|
326次组卷
|
2卷引用:湖北省鄂东南教改联盟学校2019-2020学年高二下学期期中联考数学试题
名校
解题方法
6 . 如图,正三棱柱
(侧棱垂直于底面,且底面是正三角形的棱柱)的底面边长为6,点
在边
上,
是以点
为直角顶点的等腰直角三角形.
![](https://img.xkw.com/dksih/QBM/2020/8/5/2521506865356800/2522199845199872/STEM/1a0f12c0-9d4a-4b79-8ee9-2d50d388e694.png)
(1)求证:点
为
边的中点;
(2)求点
到平面
的距离,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0555dd0d637f53972d8a4be9e396d521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c21f920814c1c5e76d3f3b72bd22934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://img.xkw.com/dksih/QBM/2020/8/5/2521506865356800/2522199845199872/STEM/1a0f12c0-9d4a-4b79-8ee9-2d50d388e694.png)
(1)求证:点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46b91c857bbe3c4f0f08dd2a4124a96e.png)
您最近一年使用:0次
名校
7 . 如图1,四边形
是正方形,四边形
和
是菱形,
,
.分别沿
,
将四边形
和
折起,使
、
重合于
,
、
重合于
,得到如图2所示的几何体.在图2中,
、
分别是
、
的中点.
![](https://img.xkw.com/dksih/QBM/2020/8/5/2521506810863616/2522196453736448/STEM/b205679a2e1f47a3910ec162d5c52076.png?resizew=403)
(1)证明:
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/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e28160835023b1edf9c5bf2feef72366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6949667eff52fb061f0e28195e853212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8d0459009ad11ee4118b464361d5d4e.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/e28160835023b1edf9c5bf2feef72366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6949667eff52fb061f0e28195e853212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/522230546d4b802094e86ceb48c2ba38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4f150ab98bde511e0f65d9bafab031.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://img.xkw.com/dksih/QBM/2020/8/5/2521506810863616/2522196453736448/STEM/b205679a2e1f47a3910ec162d5c52076.png?resizew=403)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93cf663ee2bf1ac5c43f4306fa0cf250.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b2d2f8eb476a313b02f90b71bf8b0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20af148464904e21f4374cc8fb886fba.png)
您最近一年使用:0次
10-11高二上·河北邢台·阶段练习
名校
8 . 如图,正方体
的棱长为1,线段
上有两个动点
,且
,现有如下四个结论:
①
;②
平面
;
③三棱锥
的体积为定值; ④异面直线
所成的角为定值.
其中正确结论的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfbc0b5a8fbde804bd8425a4b76d207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e438a162ed349f7f25333e8f6c044e6d.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589ddae20626f9aaac616d2a3b5d95bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06222ee533c2484ab25321a6abbf98cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
③三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccc3bf74119692ac98eb24fcfa2a3f9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/268544817735d20ffbceef3b26db5dde.png)
其中正确结论的序号是
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/10/ac34c227-5b56-4748-a163-048744f15f5f.png?resizew=156)
您最近一年使用:0次
2020-08-04更新
|
531次组卷
|
39卷引用:2014-2015学年湖北省黄冈市高一下学期期末考试数学试卷
2014-2015学年湖北省黄冈市高一下学期期末考试数学试卷2016届湖北省襄阳市高三上学期期末理科数学试卷【校级联考】湖北省宜昌市(宜都二中、东湖高中)2019届高三12月联考数学(理)试题(已下线)2010年河北省南宫中学高二12月月考数学卷(已下线)2011届河北省邢台市高三第一次模拟理科数学卷(已下线)2011届江西省上饶县中学高三第四次月考数学文卷(已下线)2010—2011学年新疆农七师高级中学高一第二学期分班考试数学(已下线)2012届广西武鸣县高级中学高三第二次模拟考试理科数学试卷(已下线)2012届广西武鸣县高级中学高三第二次模拟考试文科数学试卷(已下线)2012届陕西省西安中学高三第三次月考理科数学(重点班)(已下线)2012届河南省焦作市高三第一次质量检测文科数学试卷(已下线)2011-2012学年浙江省温州中学高一下学期期末考试理科数学试卷(已下线)2013年海南省海口市高考模拟(二)文科数学试卷(已下线)2014年高考数学(理)二轮复习5-2空间向量与立体几何练习卷(已下线)2014年高考数学(理)二轮复习专题提升训练训练13练习卷2016届河北省衡水中学高三上学期四调理科数学试卷2015-2016学年陕西省西安市一中高一上学期期末考试试卷2015-2016学年甘肃省兰州一中高一上学期期末数学试卷12015-2016学年甘肃省兰州一中高一上学期期末数学试卷22016-2017学年河北省卓越联盟高二上学期月考一数学试卷湖南省长沙市第一中学2015-2016学年高一12月月考数学试题四川省成都市第七中学2016-2017学年高一下学期期末考试数学试题安徽省江淮名校2017-2018学年高二期中考试试题数学(理)四川省南充市嘉陵一中2018届高三上学期期中考试理数学试题【校级联考】四川省遂宁市射洪县2017-2018学年高二上学期期末统考实验小班加试数学(理)试题【全国百强校】安徽省马鞍山市第二中学2018-2019学年高二第一学期期末素质测试理科数学试题【省级联考】内蒙古2019届高三高考一模数学(文科)试题【校级联考】江西省南昌市八一中学、洪都中学、麻丘高中等七校2018-2019学年高二下学期期中考试数学(文)试题【省级联考】内蒙古2019届高三高考一模数学(理科)试题江西省新余第四中学2020届高三9月月考数学(文)试题山东省烟台市第二中学2019-2020学年高一4月月考数学试题2020届四川省泸县第四中学高三三诊模拟考试数学(理)试题2020届四川省泸县第四中学高三三诊模拟考试数学(文)试题贵州省思南中学2019-2020学年高一下学期期中考试数学试题(已下线)专题15 几何体的体积-2020年高考数学(理)母题题源解密(全国Ⅲ专版)(已下线)专题16 几何体的体积-2020年高考数学(文)母题题源解密(全国Ⅲ专版)江西省南昌县莲塘县第三中学2019-2020学年高二下学期期末考试数学(理)试题广东省揭阳市第一中学2018-2019学年高一下学期期中数学试题福建省泉州科技中学2020-2021学年高一下学期期中考试数学试题
名校
解题方法
9 . 如图,由直三棱柱
和四棱锥
构成的几何体中,
,
,平面
平面
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/2b606121-676c-4c4d-84a3-fabf77a0357e.png?resizew=177)
(1)
为三角形
内(含边界)的一个动点,且
,求
的轨迹的长度;
(2)在线段
上是否存在点
,使直线
与平面
所成角的正弦值为
?若存在,求
的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06b3e8bee41beb61f3c4afdc554cb455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/178a27068cf5517ad64f211af10256ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/141dbe8ea20faf572441f6edd46ab167.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98cf9cb5b6b6de8dd40dce5628d77a1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/2b606121-676c-4c4d-84a3-fabf77a0357e.png?resizew=177)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be0ca7c25eceffc1c3515446f59396e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b34227aea6a11933e38bc5575925a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd17a66a2af938c89e46f22e4d893b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d1a1b7edecd3344707cf04ea3e86916.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/802e162b98c280720fcb909cf392fda3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4fb46419d4c5868342f6615adcd36d9.png)
您最近一年使用:0次
2020-08-03更新
|
977次组卷
|
9卷引用:辽宁省大连市2019-2020学年高二上学期期末考试数学试题
辽宁省大连市2019-2020学年高二上学期期末考试数学试题河北省张家口市第一中学2021届高三上学期10月月考数学试题湖北省宜荆荆随2023-2024学年高二上学期10月联考数学试题湖北省宜昌市第一中学2023-2024学年高二上学期期中数学试题青海省西宁市城西区青海湟川中学2020-2021学年高二上学期期末数学(理)试题重庆市江津中学校2021-2022学年高二上学期期中数学试题云南民族大学附属中学2022届高三高考押题卷二数学(理)试题福建省南安市侨光中学2023-2024学年高二上学期第1次阶段考试数学试题(已下线)第三章 空间轨迹问题 专题三 立体几何轨迹长度问题 微点2 立体几何轨迹长度问题综合训练【培优版】
名校
10 . 如图,直三棱柱
中,
,
,
,
分别是棱
,
的中点.
![](https://img.xkw.com/dksih/QBM/2020/7/30/2517156470710272/2517839406735360/STEM/b9842a94542a4369bfa7aa91a99d3f79.png?resizew=178)
(1)证明:
平面
;
(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/9ed8f7d3d7043d4b1eb98fc5c4e2fcd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512cc5f78111d4592f6d843db6915f4c.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/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://img.xkw.com/dksih/QBM/2020/7/30/2517156470710272/2517839406735360/STEM/b9842a94542a4369bfa7aa91a99d3f79.png?resizew=178)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/565133e91e3ace2b2187cfc6f1db5be6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d365ce9f4bacc4d4bb15dbdb5306a5.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7235f9ae010fe4206def508d915d36c.png)
您最近一年使用:0次
2020-07-31更新
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135次组卷
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2卷引用:湖北省武汉市蔡甸区汉阳一中2020-2021学年高二上学期9月月考数学试题