1 . 以下说法正确的是( )
A.空间异面直线的夹角取值范围是![]() | B.直线与平面的夹角的取值范围是![]() |
C.二面角的取值范围是![]() | D.向量与向量夹角的取值范围是![]() |
您最近一年使用:0次
2 . 如图1,在平面四边形
中,
.将
沿
折叠至
处.使平面
平面
(如图2),
分别为
的中点.
平面
;
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0b80e2a090786cd7f28fe5b079bced.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acee03d4bb4667b6c345221b6c9b0fa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04c222223dae9ef27d4c132534d9848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d5df92548825892c451cc423389ba63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/626ea781a1b78eed09dfb4fa6c555f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c0bfeadcf17b2a45896071f07a4a5a.png)
您最近一年使用:0次
2023-11-29更新
|
222次组卷
|
4卷引用:内蒙古自治区赤峰市第四中学2024届高三上学期期中数学(文)试题
内蒙古自治区赤峰市第四中学2024届高三上学期期中数学(文)试题(已下线)第八章 立体几何初步(二)(知识归纳+题型突破)(2)-单元速记·巧练(人教A版2019必修第二册)(已下线)重难点专题15 空间中的五种距离问题-【帮课堂】(苏教版2019必修第二册)四川省2024届高三下学期高考仿真模拟文科数学试卷(一)
3 . 如图,在圆台
中,四边形
为其轴截面,
分别为
和
的中点,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192f4f9446c954a291f779d963f90257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d5db40c0ad940125cb88c967bb5a92b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91fde17259f17066a10a4d951458306b.png)
A.![]() |
B.![]() ![]() ![]() |
C.![]() |
D.三棱锥![]() ![]() |
您最近一年使用:0次
2023-11-29更新
|
222次组卷
|
2卷引用:内蒙古自治区赤峰市第四中学2024届高三上学期期中数学(文)试题
4 . 如图所示,在三棱柱中,已知是边长为1的正方形,四边形
是矩形,平面
平面
.若
,则直线
到面
的距离为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/30/7fa28b2e-56eb-4e52-bff9-8037fdf48dfd.png?resizew=187)
A.![]() | B.1 | C.2 | D.3 |
您最近一年使用:0次
名校
5 . 二面角的平面角
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
您最近一年使用:0次
2023-11-28更新
|
222次组卷
|
3卷引用:内蒙古自治区呼和浩特市剑桥中学2023-2024学年高二下学期第一次(3月)月考数学试题
名校
6 . 如图,在边长为2的正方体
中,
为
边的中点,下列结论正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3da8c338342e38c9aa3f274c053fd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/29/f33465ca-c59f-448f-8649-d96d1f551d9f.png?resizew=159)
A.![]() ![]() ![]() |
B.过A,![]() ![]() ![]() |
C.当![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-11-27更新
|
1258次组卷
|
6卷引用:内蒙古通辽市科左中旗民族职专·实验高中2023-2024学年高二上学期期末数学试题
内蒙古通辽市科左中旗民族职专·实验高中2023-2024学年高二上学期期末数学试题湖北省武汉市新洲区部分学校2023-2024学年高二上学期期中质量检测数学试题江西省抚州市资溪县第一中学2023-2024学年高二上学期期中调研数学试题江西省宜春市铜鼓中学2024届高三上学期第四次阶段性测试数学试题辽宁省沈阳市第一二〇中学2024届高三上学期第五次质量监测数学试题(已下线)第13讲 8.6.2直线与平面垂直的性质定理 (第2课时)-【帮课堂】(人教A版2019必修第二册)
7 . 在棱长为2的正方体
中,分别取棱
,
的中点
,
,则点
到平面
的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394c5d2f55221975503be8aa18022480.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/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/544133e145fa7cc6782e675a0892bd4f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-11-21更新
|
245次组卷
|
3卷引用:内蒙古通辽市科左中旗民族职专·实验高中2023-2024学年高二上学期期末数学试题
内蒙古通辽市科左中旗民族职专·实验高中2023-2024学年高二上学期期末数学试题江苏省镇江市丹阳市2023-2024学年高二上学期11月期中检测数学试题(已下线)专题01 空间向量及其应用常考题型归纳(2)
8 . 如图,已知圆锥的顶点为
,底面圆心为
,高为
,底面半径为2.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/19/0eb400c9-84f0-495a-a911-878c13ad0693.png?resizew=152)
(1)求该圆锥的侧面积;
(2)设
为该圆锥的底面半径,且
,
为
的中点,求二面角
的大小(用反三角表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/19/0eb400c9-84f0-495a-a911-878c13ad0693.png?resizew=152)
(1)求该圆锥的侧面积;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f47ddc7c9fb41942160e3cafcf756776.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ccc37b189fa2cbc269ca0b233dac37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/142b0739dc0ee9499a7df34a4e9dc726.png)
您最近一年使用:0次
2023-11-21更新
|
196次组卷
|
2卷引用:内蒙古通辽市科左中旗民族职专·实验高中2023-2024学年高二上学期期末数学试题
名校
解题方法
9 . 如图,在矩形
中,
,
,E为线段
中点,现将
沿
折起,使得点D到点P位置,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/31/d44a0903-dde4-47fd-ae48-0ecb9544688f.png?resizew=351)
(1)求证:平面
平面
;
(2)已知点M是线段
上的动点(不与点P,C重合),若使平面
与平面
的夹角为
,试确定点M的位置.
![](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/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12319a1cdcc58d25c30d2b3ab5848237.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/31/d44a0903-dde4-47fd-ae48-0ecb9544688f.png?resizew=351)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcc60341dc04f3fc7133ed29edc6acdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)已知点M是线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2e849754baf604fa48efe2c82657af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bec7e56107b5f2f34e420caffd1159b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
您最近一年使用:0次
2023-11-19更新
|
459次组卷
|
2卷引用:内蒙古呼和浩特市内蒙古师范大学附中2023-2024学年高二上学期12月月考数学试题
10 . 如图
,在
中,
分别为
的中点,
为
的中点,
,
.将
沿
折起到
的位置,使得平面
平面
,如图
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/9/62276dd9-eaa0-4b09-bcba-ff3e6520bc0b.png?resizew=325)
(1)求证:
.
(2)线段
上是否存在点
,使得直线
和
所成角的余弦值为
?若存在,求出
的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0117046e7a37bebe0c7b987a00d2bcb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa2a83fed9bf4cb09d84a980452e346.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7b3e7c7845a0ec3cbac709fda131764.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65c42bce098904b241986bb91c65ab33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/9/62276dd9-eaa0-4b09-bcba-ff3e6520bc0b.png?resizew=325)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e51c4114e94bceb198403c1858b9682.png)
(2)线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a261474cc7607d31a6324cb4df9c8896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c741af321a8ddaf387fa661f3920ad84.png)
您最近一年使用:0次
2023-11-16更新
|
399次组卷
|
3卷引用:内蒙古鄂尔多斯市西四旗2024届高三上学期期末综合模拟数学(理)试题