名校
解题方法
1 . 如图,在三棱柱中,
,
,
为
的中点,平面
平面
.
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ebe6a446b91e73b181f9f4d56264dd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41104641f3e2260d00aeadf8fb8a078a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d8afb6a50406ba4c6621f4976c8dcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f25c5543b39190dc2499aa66f939659.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/642a7dd471434c923f76809dfa5ee183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41104641f3e2260d00aeadf8fb8a078a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
您最近一年使用:0次
2024-01-31更新
|
404次组卷
|
7卷引用:辽宁省葫芦岛市协作校2023-2024学年高二上学期第二次考试数学试题
解题方法
2 . 在四棱锥
中,底面
为正方形,侧棱
垂直于底面,且
,则下列正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2bc5e50b8dfa02601c70822252854a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f01fe5b7c9540ed642bf36526ccbf1b8.png)
A.直线![]() ![]() ![]() | B.直线![]() ![]() ![]() |
C.直线![]() ![]() ![]() | D.平面![]() ![]() |
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名校
3 . 在一个圆锥中,
为圆锥的顶点,
为圆锥底面圆的圆心,
为线段
的中点,
为底面圆的直径,
是底面圆的内接正三角形,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b63d2504bd3ecce8c10560b142356f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36508a13015c1126e8e1de41a2bf12a9.png)
A.![]() ![]() |
B.在圆锥的侧面上,点A到![]() ![]() |
C.二面角![]() ![]() |
D.记直线![]() ![]() ![]() ![]() ![]() ![]() |
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4 . 素描几何体是素描初学者学习绘画的必学课程,是复杂形体最基本的组成和表现方式,因此几何体是美术入门最重要的一步.素描几何体包括:柱体、锥体、球体以及它们的组合体和穿插体.如图2所示的几何体可以看作是一个正四棱柱和一个正四棱锥组成的几何体,已知正四棱柱和正四棱锥的高之比为
,且底面边长均为
,若该几何体的所有顶点都在某个球的表面上,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37d65e051e943ab28fa57aee2fb57994.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41322821ce31416fdac8dd6e0aa41c71.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/30/69b4b889-4e87-4d5c-9a38-06fede2069bd.png?resizew=351)
A.正四棱柱和正四棱锥组成的几何体的体积为160 |
B.该几何体外接球的体积为![]() |
C.正四棱锥的侧棱与其底面所成角的正弦值为![]() |
D.正四棱锥的侧面与其底面的夹角的正弦值为![]() |
您最近一年使用:0次
解题方法
5 . 如图,在正四棱柱
中,
.点
分别在棱
上,
.
(1)求点
到平面
的距离;
(2)点
在棱
上,当二面角
为
时,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aed5e5d514bba98dbd038d0857a34ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65d88169cf2f7701c7e6ed7c1ee32171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360a93b9662f0ab8a69b131497520b53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a9403fcc20cc66bb1615eebe9a79ec.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/29/42f564a1-d0d7-4a93-9069-98582ad6d655.png?resizew=123)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a690150b96a634e5e5ea5f41cec394b5.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1da83bc459e069fc0d78d1aad4d37a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a8f3a8b0608ec011ad95c522fd2ea4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebeb0c6b3331994e6fced0e825d5638b.png)
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名校
解题方法
6 . 在如图所示的试验装置中,两个正方形框架
的边长都是2,且它们所在的两个半平面所成的角为
.活动弹子
分别在正方形对角线
和
上移动,且
.
(1)用
表示出
的长度,并求出
的长的取值范围;
(2)当
的长最小时,平面
与平面
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f9f1d8b6eead1dc79af156d6a113431.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c0927afc571a7c966c98192040979e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/461c44b06295b3104b1e739fc4235a5d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/25/5e529047-68d2-47fd-a8c9-c396cae42c63.png?resizew=181)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82cb18c10820d927ecd53326f58aaf8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ee5a94f9063a71581f409e47ebaf602.png)
您最近一年使用:0次
名校
7 . 如图,直二面角
中,四边形
是边长为2的正方形,
为
上的点,且
平面
,
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/29/477b9675-36bc-4dc6-96f1-e4f6f2375d6f.png?resizew=129)
(1)求二面角
的正弦值:
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d87b527147cb8dbb475bcefc0da2e6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5a50b7c848aa473156eb397bc4d2316.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fa3c61d6c19e187b4b824b6f5610cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c66d99a6a8415ddad22bbed33b64cfb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/29/477b9675-36bc-4dc6-96f1-e4f6f2375d6f.png?resizew=129)
(1)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/001a1ffb477e4fde288a68618803b0e3.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c66d99a6a8415ddad22bbed33b64cfb.png)
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名校
解题方法
8 . 四棱锥
的底面是正方形,
平面
,
,
,点
是
上的点,且
(
),二面角
的大小为
,直线
与平面
所成的角为
,若
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fb2e071d4e01107dcf7d95cbb86b415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c76d296e1cf0e421b3969c70064f6fcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a88c44f558705de3bcefcfc0ece96b8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defa5b53043ae802bb1af7d14374406d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/621819d2b55ce4774a454b69640961bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987b8f9b7bc1f9c3b943ee2e8baac2b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbeab80976db9b4689b9446cda06196a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef1917b0c81f4aa99a5bc94f7c806fb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
9 . 如图,在棱长为1的正方体中,下列结论不正确 的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/8/265169a4-c337-49dc-9563-262e43c5d85a.png?resizew=161)
A.异面直线AC与![]() |
B.直线![]() ![]() |
C.二面角![]() ![]() |
D.四面体![]() ![]() |
您最近一年使用:0次
2023-10-18更新
|
619次组卷
|
3卷引用:辽宁省六校协作体2023-2024学年高二上学期10月联考数学试题
辽宁省六校协作体2023-2024学年高二上学期10月联考数学试题(已下线)专题09 立体几何(5大易错点分析+解题模板+举一反三+易错题通关)-2四川省内江市第三中学2024届高三上学期1月月考数学(理)试题
解题方法
10 . 如图所示,在正四棱锥
中,若
的面积与正四棱锥的侧面面积之和的比为
,则侧面与底面所成的二面角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/771a3e2364c6afac9b69761068d5999e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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