1 . 在边长为2的正方形
外作等边
(如图1),将
沿
折起到
的位置,使得
(如图2).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/1208711f-95cb-48d8-827c-085a0d6bc28f.jpg?resizew=364)
(1)求证:平面
平面
;
(2)若F,M分别为线段
的中点,求点P到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfa1a2af7e38d33634c462300df381f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfa1a2af7e38d33634c462300df381f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb8c91e4c85a9da7f54b2237d870a50d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/1208711f-95cb-48d8-827c-085a0d6bc28f.jpg?resizew=364)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a3fd5284e160896f07ce367645fd04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)若F,M分别为线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19935e386ac54c8257a4b9ea0bd9d7a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6114761b369162cda06f08e31c23fc9.png)
您最近一年使用:0次
2022-12-25更新
|
451次组卷
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5卷引用:江西省赣州市九校2023届高三上学期12月质量检测数学(文)试题
江西省赣州市九校2023届高三上学期12月质量检测数学(文)试题河南省部分学校2022-2023学年高三12月大联考文科数学试题(已下线)江西省五市九校协作体2023届高三第一次联考文科数学试题变式题16-20(已下线)8.6.3平面与平面垂直(第1课时平面与平面垂直的判定定理)(精练)-【精讲精练】2022-2023学年高一数学下学期同步精讲精练(人教A版2019必修第二册)(已下线)专题8.14 空间直线、平面的垂直(二)(重难点题型检测)-2022-2023学年高一数学举一反三系列(人教A版2019必修第二册)
22-23高三上·江西·阶段练习
名校
解题方法
2 . 已知正四面体
,则在平面
内到平面
、平面
、平面
的距离相等的点有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
A.1个 | B.4个 | C.7个 | D.无数个 |
您最近一年使用:0次
解题方法
3 . 如图,在四棱锥
中,
平面
,
,
,
,
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/3ca50c8b-160f-4ed7-87ea-a3d1e1e115d8.png?resizew=195)
(1)求点
,
到平面
的距离之和;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5dd496ee0c1170ef6dcc48266ee444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ef796b46e68fe77b117ff0483d2370c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4adf90a8c2b29334cdc5aa5b554991f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f062d753bff791e0e8e1ec541ebffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4eb1b11eb4968b3dc1ea99c01c0c4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fb79f69e0f556c3fccc7dc68935e462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defa5b53043ae802bb1af7d14374406d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/3ca50c8b-160f-4ed7-87ea-a3d1e1e115d8.png?resizew=195)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09d9d486b7f91ba933210dd013a7f2c.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa7077b64e5d67e5a43d7661e260136.png)
您最近一年使用:0次
解题方法
4 . 如图,在正三棱台
中,
,
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/d7ebd0d5-af91-4ad5-999e-299201f78515.png?resizew=186)
(1)求证:棱台过D,
,
的截面为正方形;
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea38e4508602009b2b2f2665d6ddac0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/d7ebd0d5-af91-4ad5-999e-299201f78515.png?resizew=186)
(1)求证:棱台过D,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cee3d1518e197f7f25c341da6b1e3483.png)
您最近一年使用:0次
5 . 已知
是边长为
正三角形
的外心,沿
将该三角形折成直二面角
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de908dd52536dc51de6e71920c847d9.png)
A.直线![]() ![]() |
B.直线![]() ![]() ![]() |
C.平面![]() ![]() ![]() |
D.![]() ![]() ![]() |
您最近一年使用:0次
2022-11-15更新
|
216次组卷
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2卷引用:江西省丰城市第九中学2023-2024学年高一下学期4月月考数学试题
名校
6 . 如图,正方体
的棱长为1,
,
,
分别为线段
,
,
上的动点(不含端点),则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/19/5f7865a7-e0be-4422-9fad-ef4b4d8a8b25.png?resizew=208)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.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/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/19/5f7865a7-e0be-4422-9fad-ef4b4d8a8b25.png?resizew=208)
A.异面直线![]() ![]() ![]() |
B.当![]() ![]() ![]() ![]() ![]() |
C.当![]() ![]() ![]() ![]() |
D.存在点![]() ![]() ![]() ![]() |
您最近一年使用:0次
2022-11-15更新
|
1044次组卷
|
4卷引用:江西省南昌市第二中学2022-2023学年高二上学期第二次月考数学试题
江西省南昌市第二中学2022-2023学年高二上学期第二次月考数学试题辽宁省沈阳市第二中学2022-2023学年高三上学期期中数学试题(已下线)数学(新高考Ⅱ卷B卷)(已下线)8.5.3平面与平面平行(精练)-【精讲精练】2022-2023学年高一数学下学期同步精讲精练(人教A版2019必修第二册)
名校
解题方法
7 . 如图,在直角梯形ABCD中,AB∥CD,AB⊥AD,且AB=AD=
=1.现以AD为一边向梯形外作正方形ADEF,然后沿边AD将正方形ADEF折叠,使ED⊥DC,M为ED的中点,如图2.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/17/5442594c-e0b5-4c3a-8f91-2fe81292cb48.png?resizew=414)
(1)求证:BC⊥平面BDE;
(2)求点D到平面BEC的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b840be5852709e18ea985954545e78d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/17/5442594c-e0b5-4c3a-8f91-2fe81292cb48.png?resizew=414)
(1)求证:BC⊥平面BDE;
(2)求点D到平面BEC的距离.
您最近一年使用:0次
2022-11-12更新
|
450次组卷
|
3卷引用:江西省临川第一中学2022-2023学年高二上学期11月质量监测数学试题
江西省临川第一中学2022-2023学年高二上学期11月质量监测数学试题广东省肇庆市四会中学、广信中学2022-2023学年高二上学期第一次教学质量联考数学试题(已下线)8.6.2直线与平面垂直的判定定理(第1课时)(精讲)(1)-【精讲精练】2022-2023学年高一数学下学期同步精讲精练(人教A版2019必修第二册)
名校
解题方法
8 . 如图,四面体
中,
是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/839f1a83-0737-49b4-bb9a-d8ad2a99aad9.png?resizew=158)
(1)当
在线段
上移动时,判断
与
是否垂直,并说明理由;
(2)若
,当
是线段
的中点时,求
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14962080b72231f25261a5c5394096ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/839f1a83-0737-49b4-bb9a-d8ad2a99aad9.png?resizew=158)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1dc675917c2c467d3d612d4ddc08d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4734735213b599a9915e1ed91a5d8ce4.png)
您最近一年使用:0次
2022-11-02更新
|
633次组卷
|
4卷引用:江西省上高二中2023届高三上学期第四次月考数学(文)试题
江西省上高二中2023届高三上学期第四次月考数学(文)试题河南省洛平许济2022-2023学年高三上学期第一次质量检测文科数学试题四川省乐山沫若中学2022-2023学年高二上学期第二次月考(期中考试)数学(理)试题(已下线)8.6.2直线与平面垂直的性质定理(第2课时)(精讲)(2)-【精讲精练】2022-2023学年高一数学下学期同步精讲精练(人教A版2019必修第二册)
9 . 如图,在四棱锥
中,底面ABCD是正方形,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/7afde5fc-a045-4899-af2c-1df40cdfa3b0.png?resizew=187)
(1)证明:平面
平面
;
(2)求
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/531496172673a735ddf36284fa45fb81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0051d92c8639713847682826c2bb9783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5a20de5ab5d40c465b0353fe3c5e589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66536456c67fce11a510d3dad864dc2e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/7afde5fc-a045-4899-af2c-1df40cdfa3b0.png?resizew=187)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25cc199e2f29f643482f19d8b345ea54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1132157a33c82610c2d5035493d024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ef387d93efb947fbe046f5f19703e7.png)
您最近一年使用:0次
2022-10-26更新
|
502次组卷
|
4卷引用:江西省丰城中学、新余一中2023届高三上学期联考数学(文)试题
10 . 在棱长为1的正方体
中,P为
的中点,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/15/d3a2b9df-d776-4c95-bec5-4e0a5f8d9632.png?resizew=173)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/15/d3a2b9df-d776-4c95-bec5-4e0a5f8d9632.png?resizew=173)
A.点B与点C到平面![]() |
B.平面![]() ![]() |
C.三棱锥![]() ![]() |
D.异面直线AP与CD所成角为![]() |
您最近一年使用:0次
2022-10-15更新
|
637次组卷
|
2卷引用:江西省智学联盟体2022-2023学年高二上学期联考数学试题