解题方法
1 . 如图,D是以AB为直径的半圆O上异于A,B的点,△ABC所在的平面垂直于半圆O所在的平面,且
AB=2BC=2.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/5/465f69e3-4ec9-4e79-91aa-bfaf224561b2.png?resizew=153)
(1)证明:AD⊥DC;
(2)若
求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a83c9ee23ab1974908dbcb6c1f8f0d52.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/5/465f69e3-4ec9-4e79-91aa-bfaf224561b2.png?resizew=153)
(1)证明:AD⊥DC;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b1b620fb692cb5feea1ae55a24d6608.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f0ac3005d5ecd6d4cea0ce99a47ef3c.png)
您最近一年使用:0次
2021-02-07更新
|
163次组卷
|
2卷引用:贵州省毕节市2021届高三上学期诊断性考试数学(文)试题(一)
解题方法
2 . 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:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/ed5cbbd6-708b-4639-b546-1de98f09e148.png?resizew=181)
①延长线段
和
必相交于一点;
②
;
③平面
平面
;
④三棱锥
的体积为定值.
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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1461d297be1c046856b662e84553aaa.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/ed5cbbd6-708b-4639-b546-1de98f09e148.png?resizew=181)
①延长线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589ddae20626f9aaac616d2a3b5d95bd.png)
③平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b0656936257a9fad7efc2f41b57322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7935fe3125f247b7bea4f065ce9ad985.png)
④三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccc3bf74119692ac98eb24fcfa2a3f9f.png)
其中正确结论的序号是
您最近一年使用:0次
解题方法
3 . 菱形
的对角线
与
交于点E,
,将
沿
折到
的位置,使得
,如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/ab9be059-6b05-4362-9a19-5e0071709808.png?resizew=194)
(1)证明:
.
(2)求点A到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9150043b5ee27a06714b4d3f9bdf7005.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58fc6a5e71fa379d613ac1ef1cdf1048.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/ab9be059-6b05-4362-9a19-5e0071709808.png?resizew=194)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccbd1316b9d1f0c1e71fd078deec61f6.png)
(2)求点A到平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
您最近一年使用:0次
解题方法
4 . 如图,在正方体
中,点E在棱
上,且
,F是线段
上一动点,现给出下列结论:
①
;
②存在一点F,使得
;
③三棱锥
的体积与点F的位置无关.
其中正确结论的个数为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/13/118b0b5f-a47c-40d6-b429-9345b0dd7832.png?resizew=167)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fa9da63f296868a0cae027368735fa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de4a54cc7818be87a239f6de5f5d05b.png)
②存在一点F,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a2860a4524d02690fd2949d93e39c92.png)
③三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aaf9fbafc94c804aee3b2c025e87154.png)
其中正确结论的个数为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/13/118b0b5f-a47c-40d6-b429-9345b0dd7832.png?resizew=167)
A.0 | B.1 | C.2 | D.3 |
您最近一年使用:0次
2020-12-27更新
|
352次组卷
|
2卷引用:贵州省贵阳市、黔东南州部分重点高中2021届高三年级联合考试数学(理科)试题
5 . 如图,在三棱锥
中,
平面ABC,且
,
.
证明:
为直角三角形;
设A在平面PBC内的射影为D,求四面体ABCD的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d3910616e36cfc1292da79e709816fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb4564baf209de77802d46cda82995c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e50b5c7b9aa915f9613c27ac38133062.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15bad03295db27144b7283e65eaa9554.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/53482b7e-f60b-4925-a354-d2eb8618790a.png?resizew=162)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f409b28f7cb97726646e79709ad25190.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
您最近一年使用:0次
2018-12-31更新
|
469次组卷
|
6卷引用:贵州省镇远县文德民族中学校2020-2021学年高二3月月考数学(文)试题