名校
1 . 如图,在四棱锥
中,平面
底面
,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/27/73513c62-b690-4ea7-bbbc-43d8ed238583.png?resizew=157)
(1)证明:
.
(2)求平面
与平面
所成锐二面角的余弦值.
![](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/0c2d817d2506f0f2e4a9926f9ba761cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d5fdc99dd2f51a7298c212745b7efc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/27/73513c62-b690-4ea7-bbbc-43d8ed238583.png?resizew=157)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdfa54114f04a75b8c96165b3718ed7f.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
您最近一年使用:0次
2023-02-14更新
|
1039次组卷
|
5卷引用:青海省西宁市六校联考2022-2023学年高三下学期开学考试数学(理)试题
名校
解题方法
2 . 在各棱长均相等的直三棱柱
中,点M在
上
,点N在AC上且
,则异面直线
与NB所成角的正切值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/21/8884a4ee-7112-494d-9c69-4442222196d6.png?resizew=150)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8630eb8e08d024a1a2e473abbdb412d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31ac7b134d8d1136f90233addaa4723f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9399c9a2a31b0e3165aea2d6ccc4f7c9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/21/8884a4ee-7112-494d-9c69-4442222196d6.png?resizew=150)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-12-20更新
|
708次组卷
|
5卷引用:青海省西宁市城西区青海湟川中学2022-2023学年高三上学期一模理科数学试题
青海省西宁市城西区青海湟川中学2022-2023学年高三上学期一模理科数学试题(已下线)专题8-2 立体几何中的角和距离问题(含探索性问题)-3广东省广州奥林匹克中学2022-2023学年高二上学期期末数学试题 四川省宜宾市南溪第一中学校2022-2023学年高二上学期期末模拟考试数学(理)试题(已下线)6.3.3空间角的计算(2)
3 . 如图,在三棱柱
中,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/23/ca38b5ad-aef1-44a4-bebb-200dd08eb2ef.png?resizew=259)
(1)证明:平面
平面
.
(2)设P是棱
的中点,求AC与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bceb86f6a01109700263e97177c335eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b29e8a1eefb6776168969a1155c9e9c5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/23/ca38b5ad-aef1-44a4-bebb-200dd08eb2ef.png?resizew=259)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d7090639341730951c1bc3c9b6164e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9edc50f7febbc2d5d8dcdc23a3630a7.png)
(2)设P是棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d041feacf189306d130f4a949880bfc8.png)
您最近一年使用:0次
4 . 如图,在三棱锥
中,
是等边三角形,
,
,点E是BC的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/19/257b1b3b-a459-4d8d-85ae-ad6faf5a7721.png?resizew=169)
(1)求证:
;
(2)若二面角
的大小是
,求直线PB与平面PAE所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/19/257b1b3b-a459-4d8d-85ae-ad6faf5a7721.png?resizew=169)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bc56fdf70e65bd88980c64af96b83da.png)
(2)若二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf29d07c3751c41ab3503065a5a5052e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a8f3a8b0608ec011ad95c522fd2ea4d.png)
您最近一年使用:0次
解题方法
5 . 如图,在四棱锥
中,
是等边三角形,底面
是棱长为2的菱形,O是
的中点,
与
全等.
![](https://img.xkw.com/dksih/QBM/2021/5/11/2718625981415424/2719970503589888/STEM/6a4a00ea-131c-4754-9466-74edc74b4076.png?resizew=263)
(1)证明:平面
平面
;
(2)求二面角
的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a675310c8ba418e5a59beb7317e21e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e219878be67a3a6790a26636715c003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://img.xkw.com/dksih/QBM/2021/5/11/2718625981415424/2719970503589888/STEM/6a4a00ea-131c-4754-9466-74edc74b4076.png?resizew=263)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b33b7213d99a817bff19bcf740a0697c.png)
您最近一年使用:0次
2021-05-13更新
|
884次组卷
|
2卷引用:青海省西宁市大通回族土族自治县2021届高三二模数学(理)试题