名校
1 . 如图,
是半球
的直径,
是底面半圆弧
上的两个三等分点,
是半球面上一点,且
.
(1)证明:
平面
:
(2)若点
在底面圆内的射影恰在
上,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c6eff038537d5fdae6e9741e2bd9dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36fa06464d2e58b414c503be9bcc711e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/23/1f60f440-52e0-4583-9354-fe09c0390742.png?resizew=181)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45fbffb9e2c7fa7c5006cde8da0cabe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c745df4f226027778d5fe45b6501b822.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e9f7d1272b7344346b58b660aa260a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
您最近一年使用:0次
2023-11-22更新
|
2611次组卷
|
9卷引用:江苏省淮安、南通部分学校2023-2024学年高三上学期11月期中监测数学试题
江苏省淮安、南通部分学校2023-2024学年高三上学期11月期中监测数学试题江苏省启东市2023-2024学年高三上学期期中质量监测数学试卷(已下线)模块六 全真模拟篇 拔高2 期末终极研习室(2023-2024学年第一学期)高三重庆市缙云教育联盟2024届高三下学期2月月度质量检测数学试题(已下线)第六套 九省联考全真模拟山东省菏泽市2024届高三上学期期末考试数学试题(B)(已下线)模块六 立体几何(测试)江苏省南通市海门中学2023-2024学年高二下学期3月阶段练习数学试卷江苏省南通市海安高级中学2023-2024学年高二下学期阶段检测(一)数学试题
名校
2 . 如图,在三棱柱
中,底面是边长为2的等边三角形,
,D,E分别是线段
的中点,
在平面
内的射影为D.
平面
;
(2)若点F为棱
的中点,求三棱锥
的体积;
(3)在线段
上是否存在点G,使二面角
的大小为
,若存在,请求出
的长度,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/462b1c65b1b233ab98a90c164c0968c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d8485573874c071b1d56e0c1d06d5c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d26d8a9d64ad3c8cba28840b41ed7837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
(2)若点F为棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/820a55066be63da11d346175942b09aa.png)
(3)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6460959e79869f0c8cf8613cd211688.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fec5bd77cfc1313bc200480cc66c766.png)
您最近一年使用:0次
2023-09-01更新
|
1439次组卷
|
10卷引用:黑龙江省哈尔滨市第三中学校2023-2024学年高二上学期开学测试数学试题
黑龙江省哈尔滨市第三中学校2023-2024学年高二上学期开学测试数学试题黑龙江省哈尔滨第一中学校2023-2024学年高二上学期开学测试数学试题(已下线)专题8.13 立体几何初步全章综合测试卷(提高篇)-举一反三系列(已下线)第八章 立体几何初步(压轴题专练)-单元速记·巧练(人教A版2019必修第二册)(已下线)专题8.9 空间角与空间距离大题专项训练-举一反三系列(已下线)高一下学期期中复习解答题压轴题十八大题型专练(2)-举一反三系列(人教A版2019必修第二册)(已下线)专题20 空间直线、平面的垂直-《重难点题型·高分突破》(人教A版2019必修第二册)(已下线)第8章 立体几何初步 单元综合检测(难点)-《重难点题型·高分突破》(人教A版2019必修第二册)(已下线)高一下学期期末复习解答题压轴题二十四大题型专练(2)-举一反三系列(人教A版2019必修第二册)(已下线)重难点专题14 利用传统方法解决二面角问题-【帮课堂】(苏教版2019必修第二册)
名校
解题方法
3 . 在菱形
中,已知
,
.
是对角线
上一点,沿
把菱形折成二面角
,将折成二面角后的
点记作
,设
,点
在平面
上的射影记为
.
(1)当
是
的中点时,如图1,求证
平面
;
(2)当
落在菱形的边
上时,如图2,求二面角
的取值范围;
(3)设折痕
与菱形的边
交于点
,求四棱锥
体积的最大值(说明:可以用到必修一探究实践活动中得到的不等式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d936ea1443a8c881633d5e04fdd3434.png)
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e918b70b02a73685e3c536c7f380e2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8efa92fbb689ce6f9ab3384918f48774.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3160d33de228937b8a691519fced22e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/15/926446e4-566c-43a8-8e7c-da6d5f318095.png?resizew=342)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662698361c6b3ddaf0c28a3c87be53e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf12905647aeeded72bbca21a63f319.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8efa92fbb689ce6f9ab3384918f48774.png)
(3)设折痕
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee724bdc07aa2bacb42d4779585a2a12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d936ea1443a8c881633d5e04fdd3434.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d3ac744d01bdb607d6c2ffd7ef64a24.png)
您最近一年使用:0次
名校
4 . 如图,在矩形ABCD中,
,
,M是线段AD上的一动点,将
沿着BM折起,使点A到达点
的位置,满足点
平面
且点
在平面
内的射影E落在线段BC上.
平面
;
(2)求三棱锥
的体积的最大值;
(3)设直线CD与平面
所成的角为
,二面角
的平面角为
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f656e1d1f68954e5f06de8958f6a9310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a5e0a51c9e14fb246b0ba0b231c1e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7829855159327b2a87c3a424b3f7134a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f9e5a462c0ca3b9e2c603750a3b433b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f9e5a462c0ca3b9e2c603750a3b433b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69ce1507bc29b81f4a6594463c81ee0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1530d93834fbafba5f7217778ea90442.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efb81868e33e0077861e0dbda5583892.png)
(3)设直线CD与平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35247dcbb6b93e8338e53b7b402fe99b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3363c94be80317e56ad734e0a3490e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4cd2f25e36ae0ed6a9f365f889a6342.png)
您最近一年使用:0次
2023-08-02更新
|
2305次组卷
|
10卷引用:浙江省宁波市慈溪市2022-2023学年高一下学期期末数学试题
浙江省宁波市慈溪市2022-2023学年高一下学期期末数学试题广东省肇庆中学大旺实验学校2023-2024学年高二上学期开学适应性检测数学试题湖北省荆州市沙市中学2023-2024学年高二上学期9月月考数学试题(已下线)第二章 立体几何中的计算 专题一 空间角 微点10 二面角大小的计算综合训练【培优版】(已下线)第八章 立体几何初步(压轴题专练)-单元速记·巧练(人教A版2019必修第二册)单元测试A卷——第八章?立体几何初步(已下线)第13章 立体几何初步 单元综合检测(重难点)-《重难点题型·高分突破》(苏教版2019必修第二册)(已下线)第六章 立体几何初步(单元测试,新题型)-同步精品课堂(北师大版2019必修第二册)(已下线)专题02 高一下期末真题精选(2)-期末考点大串讲(人教A版2019必修第二册)(已下线)专题08立体几何期末14种常考题型归类(2) -期末真题分类汇编(人教B版2019必修第四册)
解题方法
5 . 如图,四棱锥
的底面
是平行四边形,平面
平面
,
是边长为4的等边三角形,
,
,
是
上一点.
是
的中点,证明:
平面
;
(2)若平面
平面
,求
的值.
![](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/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/373f735f0f04d11f1951eaef1bb78b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc46688d8723cf2003fc25890265200.png)
(2)若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72aaf3dd6430012945b647bdb51042c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0519ba613bf121a2c1bc28c948266d74.png)
您最近一年使用:0次
2023-07-12更新
|
564次组卷
|
3卷引用:甘肃省定西市渭源县2022-2023学年高一下学期期末数学试题
甘肃省定西市渭源县2022-2023学年高一下学期期末数学试题浙江省名校协作体2023-2024学年高二上学期开学适应性考试数学试题(已下线)第十一章:立体几何初步章末综合检测卷-同步精品课堂(人教B版2019必修第四册)
6 . 在正三棱台
中,侧棱长为1,且
为
的中点,
为
上的点,且
.
(1)证明:
平面
,并求出
的长;
(2)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/08b818b60f9446b01e086502cfb7dac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2ea6ce533bd6f40967e6bee24c2b94.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/24/a0948a2f-601f-4d4b-bd3f-4cab165bc4ef.png?resizew=160)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d2d217e9bcd059908f117dfc4d4259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
您最近一年使用:0次
名校
7 . 如图,在四棱锥
中,底面
是正方形,侧面QAD是正三角形,侧面
底面
,M是QD的中点.
平面
;
(2)求侧面QBC与底面
所成二面角的余弦值;
(3)在棱QC上是否存在点N使平面
平面AMC成立?如果存在,求出
,如果不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55c6caa0455442437177ab9b995df37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb11df029afb11e4233989b1338cb3a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0edb1508fc95765f3bb316bcb5252d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c550269f3199038726f55cbd281c13a.png)
(2)求侧面QBC与底面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(3)在棱QC上是否存在点N使平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a2e866037fb17d7fb74b462ef2f34d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6525116388ec2bf0e2828bdc3cc5d3b9.png)
您最近一年使用:0次
2023-07-31更新
|
1606次组卷
|
10卷引用:吉林省长春市实验中学2022-2023学年高一下学期期末数学试题
吉林省长春市实验中学2022-2023学年高一下学期期末数学试题(已下线)第10章 空间直线与平面(压轴题专练)-2023-2024学年高二数学单元速记·巧练(沪教版2020必修第三册)(已下线)第八章 立体几何初步(提升卷)-重难点突破及混淆易错规避(人教A版2019必修第二册)(已下线)6.5.2平面与平面垂直-【帮课堂】(北师大版2019必修第二册)(已下线)高一下学期期末复习解答题压轴题二十四大题型专练(2)-举一反三系列(人教A版2019必修第二册)(已下线)高一下学期期末数学试卷(巩固篇)-举一反三系列(人教A版2019必修第二册)江苏省宿迁市泗阳县实验高级中学2023-2024学年高一下学期第二次调研测试(5月)数学试题安徽省安庆市第一中学2023-2024学年高一下学期5月同步测试数学试卷河南省信阳市浉河区信阳高级中学2023-2024学年高一下学期6月月考数学试题西安市交大附中2023—2024学年高一下学期第二次月考数学试题
名校
8 . 已知四棱锥
的底面为直角梯形,
,
,
底面ABCD,且
,
,M是PB的中点.
平面
;
(2)判断直线CM与平面
的位置关系,并证明你的结论;
(3)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee8ef58be8708144272538ee427fb92c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2b377f22aafd3742ad860f77abaacef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de217862f189f14a9ffa0c40f5368f6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ffc6952e988d04f22f0fb2f7f0ab7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(2)判断直线CM与平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(3)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e9a8d2e4172812913af13badafa4dbb.png)
您最近一年使用:0次
2023-07-05更新
|
1490次组卷
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8卷引用:四川省巴中市2022-2023学年高一下学期期末数学试题
名校
解题方法
9 . 如图,菱形
的边长为2,
,E为AB的中点.将
沿DE折起,使A到达
,连接
,
,得到四棱锥
.
(1)证明:
;
(2)当二面角
的平面角在
内变化时,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/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f945a69cf7e8213e50622125cde652f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e663220a66eff19da6a71e46b397db2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb97aff0960e2640314888a38e7169c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be7527d873655c33ebcd1f2b14a9315c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/8/908113cb-163c-495f-aae7-ae6df02c1f28.png?resizew=240)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb50274e8907ba8ba624755c9f3462d3.png)
(2)当二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/413057311afa5daa3815d4afd08dd3a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b5e354bb26ff35ea03241c4fdff96b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb97aff0960e2640314888a38e7169c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c87014fbb5c656a4f1892dbd88f242.png)
您最近一年使用:0次
2023-09-28更新
|
1053次组卷
|
3卷引用:湖北省部分高中2023-2024学年高二上学期9月联考数学试题
10 . 已知平行六面体
,底面
为菱形,
,侧棱
.
(1)证明:直线
平面
;
(2)设平面
平面
,且二面角
的平面角为
,设
点为线段
的中点,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c7f93141ec82fe63ce71803f2e5435f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/130837bf4960e5fd29c69d7b0c9f557a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/10/22cd9621-590b-432f-afe4-7831c178c634.png?resizew=207)
(1)证明:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5928c98b341b16d4b5a5b931d2929d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84f4d9c3f1e496cc3fa3401ffaedd7e6.png)
(2)设平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/035cec49fde6fdf4bdbdc59ecbd8f7ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25cf5e1e2d2b61e7d9b488faf4284165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77cad740e2ced707c3b4a22126579a47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5ba99bbb70c1f24afdd9ad9b5e32e1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e0f0ccc8492a0ccf1eee24867060643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b81f1bce5be292fb6968afc5e07864f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
2023-07-08更新
|
623次组卷
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3卷引用:湖北省部分市州2022-2023学年高一下学期7月期末联考数学试题
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