名校
1 . 如图,在三棱柱
中,
,平面
平面
,
,
在直线
上的投影向量为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/9/0251c339-8011-4b5c-ac78-f198e8a3a5b2.png?resizew=222)
(1)证明:
.
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71f2185273bf04c11118c7954f7ec822.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d7090639341730951c1bc3c9b6164e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdcfe69b939fd1c271747fe9d37ccdf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3788d69acba900ae9e013ef0a23bb347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dcf07541c61332b32411d430de0e4ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/463578394191bdac63c202af07172830.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/9/0251c339-8011-4b5c-ac78-f198e8a3a5b2.png?resizew=222)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c6c1eb9171f9bb566f9895b8a7adad.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eb4ef8a0330a8ef589161cdb09c344c.png)
您最近一年使用:0次
2023-02-08更新
|
693次组卷
|
4卷引用:广东省清远市清新区部分学校2023届高三下学期2月联考数学试题
名校
解题方法
2 . 如图,四棱锥
-
中,
为正方形,
为
中点,平面
⊥平面
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/21/cb684d2b-842f-476f-84e9-5d469c790436.png?resizew=202)
(1)证明:
//平面
;
(2)证明:
;
(3)求三棱锥
-
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b70e550fa3c5aaf1b9c28f36fd5ed5d1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/21/cb684d2b-842f-476f-84e9-5d469c790436.png?resizew=202)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c583493109d50c9e4634c05e9042a9f.png)
(3)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
您最近一年使用:0次
2022-07-15更新
|
1722次组卷
|
5卷引用:广东省阳山县阳山中学2021-2022学年高一下学期教学质量检测3数学试题
名校
3 . 已知在长方形
中,
,点
是
的中点,沿
折起平面
,使平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09afc70f448545336304333d5b5658b.png)
平面
.
![](https://img.xkw.com/dksih/QBM/2021/12/9/2868927782363136/2869082701586432/STEM/2a4f5094f2f14fa6889a1a38a00bb102.png?resizew=490)
(1)求证:在四棱锥
中,
;
(2)在线段
上是否存在点
,使二面角
的余弦值为
?若存在,找出点
的位置;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e71cac896dc25c1b31e672599d97e2ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09afc70f448545336304333d5b5658b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09afc70f448545336304333d5b5658b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa7bbd7831e9ff4f8cffc8889d34f05.png)
![](https://img.xkw.com/dksih/QBM/2021/12/9/2868927782363136/2869082701586432/STEM/2a4f5094f2f14fa6889a1a38a00bb102.png?resizew=490)
(1)求证:在四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5164a3cc47e266446d49127e2ef10c37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
(2)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316d5655efb42b70f06be0178c7fddf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dedfba8b9447a4db53baae62fdeebfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
您最近一年使用:0次
2021-12-09更新
|
759次组卷
|
5卷引用:广东省清远市华侨中学2023届高三上学期11月月考数学试题