1 . 如图,在四棱锥
中,平面
平面
,
,
,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/1/96074e85-0fd4-48d8-b15f-aa88b1b488c9.png?resizew=196)
(Ⅰ)求证:
平面
;
(Ⅱ)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/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0453cfd7e92bf7746a88280b9e7b580.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/editorImg/2023/3/1/96074e85-0fd4-48d8-b15f-aa88b1b488c9.png?resizew=196)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(Ⅱ)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
您最近一年使用:0次
2018-07-06更新
|
750次组卷
|
10卷引用:湖南省衡阳市第八中学2017-2018学年高二上学期期中考试数学(理)试题
湖南省衡阳市第八中学2017-2018学年高二上学期期中考试数学(理)试题山东省淄博市第一中学2016-2017学年高二下学期学习质量检测(一)数学(理)试题【全国校级联考】山西省朔州市怀仁县第一中学、应县第一中学校2017-2018学年高二下学期期末考试数学(理)试题【全国百强校】内蒙古赤峰二中2018-2019学年高二上学期第二次月考数学(理)试题湖南省长沙市第一中学2018-2019学年高三下学期第九次月考数学(理)试题2020届广东省江门市高三下学期4月模拟数学(理)试题江西省新余市2019-2020学年高二下学期期末考试数学(理)试题广东省广州市执信中学2021届高三上学期第二次月考数学试题贵州省凯里实验高级中学2020-2021学年高二下学期第一次月考数学(理)试题山东省泰安肥城市2021-2022学年高三上学期第一次摸底考试数学试题
名校
2 . 若实数
满足
,则
的最小值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d10449bc77d692a7270e0f20a68cdf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba778be06c79ee3e2724a1c6e786e19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb9a62fa4bbae6bc3fa5135360e16a25.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2017-11-18更新
|
863次组卷
|
2卷引用:湖南省衡阳市第八中学2017-2018学年高二上学期期中考试数学(理)试题
名校
3 . 如图,点
分别是正方体
的棱
和
的中点,则
和
所成角的大小是_________ .
![](https://img.xkw.com/dksih/QBM/2017/11/15/1817654313779200/1818675282542592/STEM/cad40e4e38d04114925a0e5bec8a4d96.png?resizew=40)
![](https://img.xkw.com/dksih/QBM/2017/11/15/1817654313779200/1818675282542592/STEM/315eaf1280574fd594e11c8ee29991ad.png?resizew=119)
![](https://img.xkw.com/dksih/QBM/2017/11/15/1817654313779200/1818675282542592/STEM/44c429fc7ef34d2ea8bb6bb408ed9fbc.png?resizew=28)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e539f26ed5e0b20ff7220559324869a4.png)
![](https://img.xkw.com/dksih/QBM/2017/11/15/1817654313779200/1818675282542592/STEM/296961da63f64a0db1c4393d6859141b.png?resizew=169)
您最近一年使用:0次
4 . 如图,在四棱锥
中,
底面
,
,
,点
为棱
的中点.
![](https://img.xkw.com/dksih/QBM/2017/5/28/1696902730899456/1697574986203136/STEM/aad2ffd2ced1412ca368cbb3032723a2.png?resizew=198)
(1)证明:
;
(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/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cff8c9f12d51b23c4b0beaf228b5c95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/2017/5/28/1696902730899456/1697574986203136/STEM/aad2ffd2ced1412ca368cbb3032723a2.png?resizew=198)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c38bbe49284a2ceab26001ced8cfd56.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31445984ddb32c9d7cfd25def849e7f6.png)
您最近一年使用:0次
2017-05-29更新
|
1400次组卷
|
7卷引用:湖南省衡阳市第八中学2017-2018学年高二上学期期中考试数学(理)试题