1 . 在直三棱柱
中,
,
,
,点
在棱
上,
,
是
的中点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0deedd57bb687af456b19bd22d20ffcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d927585a17c2e98ef7d5a9589a26ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1364213f546b37f8764ddcb59e36ae4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
A.三棱柱![]() ![]() |
B.三棱柱![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
2023-07-08更新
|
329次组卷
|
5卷引用:广东省清远市2022-2023学年高一下学期期末数学试题
名校
2 . 在四棱锥
中,平面
底面ABCD,底面ABCD是菱形,E是PD的中点,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/d7fb26fe-a1bd-4826-96c9-9e07d318bc1a.png?resizew=187)
(1)证明:
平面EAC.
(2)若四棱锥
的体积为
,求直线EC与平面PAB所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62974d34de3a12418d6b700420afd1b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/d7fb26fe-a1bd-4826-96c9-9e07d318bc1a.png?resizew=187)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa69a2247ad4d5231aa361349b12f97.png)
(2)若四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0ada8f10b58cd3b5a2c07b22463e692.png)
您最近一年使用:0次
2023-01-04更新
|
929次组卷
|
4卷引用:广东省清远市2023届高三上学期期末数学试题
广东省清远市2023届高三上学期期末数学试题(已下线)广东省广州市天河区2023届高三二模数学试题专题16空间向量与立体几何(解答题)江苏省南京市第九中学2023-2024学年高三上学期10月学情检测数学试题
名校
解题方法
3 . 如图,在直三棱柱
中,
,
,
分别为侧棱
,
的中点.
![](https://img.xkw.com/dksih/QBM/2021/2/2/2649456150011904/2651679379013632/STEM/967c2f61abe948b0997626223e235fdc.png?resizew=113)
(1)证明:
平面
;
(2)求
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af30873743bc357559cc6bd8b5241c26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://img.xkw.com/dksih/QBM/2021/2/2/2649456150011904/2651679379013632/STEM/967c2f61abe948b0997626223e235fdc.png?resizew=113)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c8ccd4181f956f6e0140bf0ab8f0716.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d365ce9f4bacc4d4bb15dbdb5306a5.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d365ce9f4bacc4d4bb15dbdb5306a5.png)
您最近一年使用:0次
2021-02-05更新
|
397次组卷
|
5卷引用:广东省清远市2020-2021学年高二上学期期末数学试题
4 . 在长方体ABCD-A1B1C1D1中,求证:
![](https://img.xkw.com/dksih/QBM/2019/3/26/2169052634587136/2171063875649536/STEM/923ee4b098c14fa6a8f665525ee24d9a.png?resizew=265)
(1)AB∥平面A1B1C;
(2)平面ABB1A1⊥平面A1BC.
![](https://img.xkw.com/dksih/QBM/2019/3/26/2169052634587136/2171063875649536/STEM/923ee4b098c14fa6a8f665525ee24d9a.png?resizew=265)
(1)AB∥平面A1B1C;
(2)平面ABB1A1⊥平面A1BC.
您最近一年使用:0次
5 . 如图,四棱锥
中,
平面
,
平面
,且
,点
为线段
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/cc558099-352b-44f6-a81a-e0b1636f3f6f.png?resizew=187)
(1)求证:
//平面
;
(2)求平面
截四棱锥
所得多面体
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b4a21b4786e10f51849cf8f844ca238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5c3aec3e9c309e72d096c0a86f4e1a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787ac5e13622afab5e9f8603afe42356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/962cdb84a4a8cc279bb54e19cb76c7fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787ac5e13622afab5e9f8603afe42356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f2421a237ba1736d79739c70f446605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ffb98f1e3c1317c0db403d3af04bdc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/cc558099-352b-44f6-a81a-e0b1636f3f6f.png?resizew=187)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0215e13a9fb5574d5194aeb9507a98aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787ac5e13622afab5e9f8603afe42356.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef00d4825584cf2a3f381de72c179e22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b4a21b4786e10f51849cf8f844ca238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf759e2694051bfa8eb987f94819ae0f.png)
您最近一年使用:0次
2019-01-19更新
|
428次组卷
|
2卷引用:【市级联考】广东省清远市2019届高三第一学期期末教学质量检测文科数学试题
6 . 如图,正四棱锥
中,
是正方形,
是正方形的中心,
底面
,
是
的中点.
![](https://img.xkw.com/dksih/QBM/2018/1/24/1867435633401856/1868965781282816/STEM/d6af542c4faf425d8cf8b0c69e7cc390.png?resizew=269)
(1)证明:
平面
;
(2)证明:平面
平面
;
(3)已知:
,求点
到面
的距离.
![](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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e126c16032892966489053f44b9048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/2018/1/24/1867435633401856/1868965781282816/STEM/d6af542c4faf425d8cf8b0c69e7cc390.png?resizew=269)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/373f735f0f04d11f1951eaef1bb78b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
(2)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
(3)已知:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96127e45e2dd2494fccb1c0905951f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
您最近一年使用:0次
7 . 如图,在长方体
中,底面
为正方形,
为底面
的对角线,
为
的中点.
![](https://img.xkw.com/dksih/QBM/2018/1/11/1858249158647808/1859359792046080/STEM/3ad32706af0f4abda8f1b7c2c13a3dc9.png?resizew=149)
(1)求证:
.
(2)求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3334853138fb74687d66b1e45f2fd9.png)
![](https://img.xkw.com/dksih/QBM/2018/1/11/1858249158647808/1859359792046080/STEM/3ad32706af0f4abda8f1b7c2c13a3dc9.png?resizew=149)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a778e0635e340c5dd443d8ba15f8470.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39219704b43e5346140f87934929899d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46e2da608b66c9aee03e2503388ba4fd.png)
您最近一年使用:0次
2018-01-13更新
|
1128次组卷
|
5卷引用:广东省大坪镇大坪中学2020-2021学年高一上学期期末数学试题