2023·全国·模拟预测
名校
1 . 如图,在四棱锥
中,平面
平面
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/29/eedaa78a-a146-4087-bae0-537b1c77c7fa.png?resizew=158)
(1)证明:
.
(2)若
,点
到平面
的距离为
,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4adf90a8c2b29334cdc5aa5b554991f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e198ba74cc4b55e69c48941acb01f0be.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/29/eedaa78a-a146-4087-bae0-537b1c77c7fa.png?resizew=158)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccbd1316b9d1f0c1e71fd078deec61f6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63e4d19bf237a6fca67e0d01a9ddb726.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a69d166677557cadb3da32b4a7e152e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02535e1a690ca111ca7a395a1bf48080.png)
您最近一年使用:0次
2023·全国·模拟预测
名校
解题方法
2 . 如图,三棱柱
的底面为等边三角形,
,点D,E分别为AC,
的中点,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/20/a403d1a5-e9a5-4b93-8162-60b6b283bb17.png?resizew=191)
(1)求点
到平面BDE的距离;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46fe926770d2354e172dec02f5ce2efe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89622b7b9832cc0e8e20589cd5b1987c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/943eecf3a499e126810370204661e830.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/20/a403d1a5-e9a5-4b93-8162-60b6b283bb17.png?resizew=191)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50cce30fa71063e956fffe1c12b9bd8.png)
您最近一年使用:0次
2023-02-17更新
|
1519次组卷
|
4卷引用:贵州省铜仁第一中学2023-2024学年高二上学期8月摸底衔接质量检测(二)数学试题
贵州省铜仁第一中学2023-2024学年高二上学期8月摸底衔接质量检测(二)数学试题(已下线)2023年普通高等学校招生全国统一考试数学预测卷(八)湖南省长沙市望城区第一中学2022-2023学年高二下学期期末模拟数学试题(已下线)重难点突破06 立体几何解答题最全归纳总结(九大题型)-2
名校
解题方法
3 . 在长方体
中,
, 点
在棱
上, 且
, 点
在正方形
内. 若直线
与
所成的角等于直线
与
所成的角, 则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89500377cb2ff988c92716b6768484ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00e2028a0e2c443a6430dde7c502a1a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35f348ed8a1690d3ed02aa64459ca50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-08-21更新
|
1017次组卷
|
3卷引用:贵州省贵阳市2023届高三上学期开学联合考试数学(理)试题
名校
解题方法
4 . 如图,在多面体ABCDEF中,四边形ABCD是正方形,DE⊥平面ABCD,BF⊥平面ABCD,DE=2BF=2AB.
![](https://img.xkw.com/dksih/QBM/2022/8/13/3043573808766976/3043885353140224/STEM/063549ecde9f4a45baae8f257cbf72cc.png?resizew=195)
(1)证明:平面
平面CDE.
(2)求平面ABF与平面CEF所成锐二面角的余弦值.
![](https://img.xkw.com/dksih/QBM/2022/8/13/3043573808766976/3043885353140224/STEM/063549ecde9f4a45baae8f257cbf72cc.png?resizew=195)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3099738f2ad621eb3ec25008b8e2ff42.png)
(2)求平面ABF与平面CEF所成锐二面角的余弦值.
您最近一年使用:0次
2022-08-13更新
|
1111次组卷
|
9卷引用:贵州省贵阳传习中学2022-2023学年高二下学期开学考试数学试题
名校
解题方法
5 . 如图,在四棱锥P-ABCD中,底面ABCD为菱形且∠DAB=60°,O为AD中点.
(Ⅱ)若平面PAD⊥平面ABCD,且PA=PD=AD=2,试问在线段PC上是否存在点M,使二面角M-BO-C的大小为30°,如存在,求
的值,如不存在,说明理由.
(Ⅱ)若平面PAD⊥平面ABCD,且PA=PD=AD=2,试问在线段PC上是否存在点M,使二面角M-BO-C的大小为30°,如存在,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8660d53460ce277704667156122054f.png)
您最近一年使用:0次
2020-03-23更新
|
549次组卷
|
3卷引用:贵州省铜仁第一中学2019-2020学年高二下学期开学考试数学(理)试题
贵州省铜仁第一中学2019-2020学年高二下学期开学考试数学(理)试题湖南省益阳市箴言中学2021-2022学年高二上学期10月月考数学试题(已下线)模块二 专题3 利用空间向量解决立体几何中复杂问题 期末终极研习室(高二人教A版)
名校
解题方法
6 . 如图,在正方体
中,
是
中点,点
在线段
上,若直线
与平面
所成的角为
,则
的取值范围是( ).
![](https://img.xkw.com/dksih/QBM/2020/3/23/2425616040173568/2425991340253184/STEM/2b81e22f3e3d4e18a976c9d458248085.png?resizew=190)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9539f8fb13345b449274b67bbda995db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
![](https://img.xkw.com/dksih/QBM/2020/3/23/2425616040173568/2425991340253184/STEM/2b81e22f3e3d4e18a976c9d458248085.png?resizew=190)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-03-23更新
|
785次组卷
|
4卷引用:贵州省铜仁第一中学2019-2020学年高二下学期开学考试数学(理)试题