名校
解题方法
1 . 已知四棱锥
的底面为矩形,
平面ABCD,点Q为侧棱PA(不含端点的线段)上动点,则点Q在平面
上的射影在( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
A.棱PB上 | B.![]() | C.![]() | D.不确定 |
您最近一年使用:0次
名校
2 . 如图,在长方体中,点
、
分别在
、
上,且
,
.
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d26d8a9d64ad3c8cba28840b41ed7837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f3e58edd1f900ca82bb2a3058293f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b4cd2b33bd983a9ed6575b9de04a46a.png)
您最近一年使用:0次
23-24高二下·上海·开学考试
解题方法
3 . 如图,在三棱锥
中,
、
分别为
、
中点,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a318e77202631ff5f396a12d4b58eb5c.png)
(1)求证:
面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
(2)求异面直线
与
所成角的余弦值
(3)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dcc9309bf9b04dbf20edad29f80cd72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a318e77202631ff5f396a12d4b58eb5c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/22/0aba7ace-465d-4548-8b20-d3b33c05a67b.png?resizew=160)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce03b310edce42191f9fa75a1c909ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
(3)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
您最近一年使用:0次
名校
解题方法
4 . 如图,在四棱锥
中,底面
是矩形,
分别为棱
的中点,
,平面
平面
.求证:
(1)
平面
;
(2)
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb46aaae98bce8e66848e09c2c1cdbd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f6967901d6c855864df01e7bf7a15c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/16/756d2f61-2db3-40b5-9a92-311dc0e2646b.png?resizew=153)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7592c4f01c8e06c7ee90df5b9413a9f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0edb1508fc95765f3bb316bcb5252d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
您最近一年使用:0次
2023-09-14更新
|
453次组卷
|
2卷引用:上海市交通大学附属中学2024届高三上学期开学考数学试题
名校
解题方法
5 . 如图,AB是圆柱底面圆的一条直径,
,PA是圆柱的母线,
,点C是圆柱底面圆周上的点,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/29/b0e006c1-fc7a-417a-98de-cd1cf16cec2d.png?resizew=119)
(1)求证:BC⊥平面PAC;
(2)若点E在PA上且
,求BE与平面PAC所成角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/491c3a4f72b84ebadd28b90711435adc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58899f5c3638f1e32274137723f99836.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/29/b0e006c1-fc7a-417a-98de-cd1cf16cec2d.png?resizew=119)
(1)求证:BC⊥平面PAC;
(2)若点E在PA上且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7d45555fdcedfc0de781195d7b55d71.png)
您最近一年使用:0次
2023-03-28更新
|
365次组卷
|
2卷引用:上海市向明中学2024届高三上学期开学考试数学试题
名校
6 . 如下图,已知四边形ABCD,ADEF,AFGH均为正方形,先将矩形EDHG沿AD折起,使二面角
的大小为30°,再将正方形
沿
折起,使二面角
的大小为30°,则平面
与平面ABCD所成的锐二面角的余弦值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/16/32f6f0d4-a929-4cee-a907-22b4beddb01f.png?resizew=526)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eead1fcc9585ee9e0034fc2186c75183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a737b7c3d1433ac12f50f2a4bd7e474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad0a19415e796564f30906f2e7dbf76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ba9dfdf98494332e12c175518e2f2f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de5a47ecc7590fa400481297463fcdd6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/16/32f6f0d4-a929-4cee-a907-22b4beddb01f.png?resizew=526)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-03-15更新
|
444次组卷
|
5卷引用:上海市杨浦高级中学2022-2023学年高二下学期开学考试数学试题
上海市杨浦高级中学2022-2023学年高二下学期开学考试数学试题第10章 空间直线与平面 单元综合检测(难点)-2023-2024学年高二数学同步精品课堂(沪教版2020必修第三册)(已下线)专题04平面与平面的位置关系(2个知识点8种题型)-【倍速学习法】2023-2024学年高二数学核心知识点与常见题型通关讲解练(沪教版2020必修第三册)(已下线)第10章 空间直线与平面(压轴题专练)-2023-2024学年高二数学单元速记·巧练(沪教版2020必修第三册)(已下线)第八章《立体几何初步》单元达标高分突破必刷卷(基础版)《考点·题型·技巧》
名校
解题方法
7 . 设A、B、C、D是空间不共面的四点,且满足,
,
,点M为BC的中点,则
是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65b4ac8c6590141e03dfeb2e6fe3cc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a88028e7f4c3d53335e5f9176dc68c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/101da161ae17652ccbe7d3f888762c2d.png)
A.钝角三角形 | B.锐角三角形 | C.直角三角形 | D.不能确定 |
您最近一年使用:0次
名校
8 . 在三棱锥P-ABC中,PA=PB=PC=AC=
,BA=BC=2,O是线段AC的中点,M是线段BC的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/27/055e644c-3eb9-47c3-8b48-dbb3c24410d4.png?resizew=168)
(1)求证:PO⊥平面ABC;
(2)求直线PM与平面PBO所成角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/27/055e644c-3eb9-47c3-8b48-dbb3c24410d4.png?resizew=168)
(1)求证:PO⊥平面ABC;
(2)求直线PM与平面PBO所成角的大小.
您最近一年使用:0次
名校
解题方法
9 . 如图,多面体
中,四边形
为菱形,
平面
,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/4de1c4f4-81bd-4389-a80b-e4345dad47d0.png?resizew=153)
(1)求证:
;
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ceffa9073eaad87857467553f556cee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5366613992430794346e9ef319d30b75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d552b00c85d1e11ef3ac6b6e06221fa.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/4de1c4f4-81bd-4389-a80b-e4345dad47d0.png?resizew=153)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db1cb818977a967130ef41cd3f9f4fc6.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/128c69eb81dae89c6989d06d20925ad2.png)
您最近一年使用:0次
2022-12-20更新
|
823次组卷
|
6卷引用:上海市建平中学2023届高三下学期开学考试数学试题
上海市建平中学2023届高三下学期开学考试数学试题陕西省汉中市2023届高三上学期教学质量第一次检测文科数学试题(已下线)专题08 立体几何解答题常考全归类(精讲精练)-3宁夏六盘山高级中学2023届高三上学期期末考试数学(文)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)(已下线)专题训练:线线、线面、面面垂直证明
名校
解题方法
10 . 用一个平面去截正方体,所得截面可能是( )
A.直角三角形 | B.直角梯形 |
C.正五边形 | D.正六边形 |
您最近一年使用:0次