1 . 如图,AB是圆O的直径.C是圆O上的点,P为平面ABC外一点.设Q为PA的中点,G为
的重心,求证:
平面PBC.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bbf9680f74a9ac5d934304654ce2771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ac9afb683291f11a83b416717a5433.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/24/a427690a-5527-4ace-8a86-d9e08defba4a.png?resizew=152)
您最近一年使用:0次
2020-01-31更新
|
530次组卷
|
2卷引用:人教B版(2019) 必修第四册 逆袭之路 第十一章 立体几何初步 11.3.3 平面与平面平行
名校
2 . 如图,在四棱锥
中,底面
是菱形,
为
的中点,
为
的中点.证明:直线
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06a5faf3cbb633fc4294c8ce703c64c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcf19a7f0dd0cdf59516ae585025110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3201d3796ed9a29338aac25245a7c8e2.png)
您最近一年使用:0次
2017-12-03更新
|
970次组卷
|
7卷引用:人教版 全能练习 必修2 第一章 5.2 平行关系的性质
名校
解题方法
3 . 如图,在三棱锥
中,
平面
,
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/3fcd7876-c63d-44fb-8bd0-873d2f6e1391.png?resizew=152)
(1)若
,
.求证:
;
(2)若
,
,
分别在棱
,
,
上,且
,
,
.求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f1897a7e856b42f8cee0f286ad913d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/3fcd7876-c63d-44fb-8bd0-873d2f6e1391.png?resizew=152)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c71dbf267939080668be464f1aa60da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0530f462e5ec1e58c46e1f7644d0cc21.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98de02d1d5b7ac04bce54be393218922.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f68184ccf2ee70eb5b4f037f58fa06b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/760e8882e84ecd68bc889a55efce5d03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d3f076d3f5a78fc081c252e9a55d5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c0bfeadcf17b2a45896071f07a4a5a.png)
您最近一年使用:0次
2021-08-07更新
|
352次组卷
|
4卷引用:山西省太原市2020-2021学年高一下学期期末数学试题
山西省太原市2020-2021学年高一下学期期末数学试题(已下线)第8章 立体几何初步(压轴30题专练)-2021-2022学年高一数学考试满分全攻略(人教A版2019必修第二册)(已下线)高一数学下学期期末精选50题(压轴版)-2021-2022学年高一数学考试满分全攻略(人教A版2019必修第二册)新疆石河子第一中学2021-2022学年高一下学期5月月考数学试题
名校
4 . 如图,已知在直三棱柱
中,
分别是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/b0f37cd1-331e-4c2e-8237-dfefc4113f7d.png?resizew=155)
(1)在图中画出过
三点的截面,并说出截面图形的形状(不必说明画法与理由);
(2)求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48593b2bdb51550ec0a2b9d5893d36fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d508af23b2c772ab604c45b3eb081919.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/b0f37cd1-331e-4c2e-8237-dfefc4113f7d.png?resizew=155)
(1)在图中画出过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a5f302c1c2f7e1b46cad05594ed672e.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b9145a795e5f18846107a7355075bd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcdb0295b373c6e306ca0dcf86f8b941.png)
您最近一年使用:0次
2019-10-29更新
|
621次组卷
|
4卷引用:人教B版 必修2 必杀技 第一章 1.2.2空间中的平行关系课时3 平面与平面平行
5 . 如图,在三棱台
中,
,G,H分别为AC,BC的中点.求证:
平面FGH.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8783bc74553bf44b61d999a0e4144bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5545dc3211671941048034af38092fa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/debdc6632a4877e5131d3da25cda8b89.png)
![](https://img.xkw.com/dksih/QBM/2020/1/30/2388354048933888/2389111774044160/STEM/68ca250e3b9542f4a8a62872ce208b8f.png?resizew=196)
您最近一年使用:0次
2020-01-31更新
|
499次组卷
|
2卷引用:人教B版(2019) 必修第四册 逆袭之路 第十一章 立体几何初步 11.3.3 平面与平面平行
解题方法
6 . 如图,在直三棱柱
中,
,
,点D,E,F分别为棱
,
,
的中点.求证:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/3f055186-6d32-4662-b08d-1c85d375a753.png?resizew=188)
(1)
平面DEF;
(2)平面
平面DEF.
![](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/e96a6b20a35af7755e5d90789ea862da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/3f055186-6d32-4662-b08d-1c85d375a753.png?resizew=188)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca714e3eade6d63792b729f4ff9f8316.png)
(2)平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/803fa75db3ac3a26a41e347dc4165026.png)
您最近一年使用:0次
解题方法
7 . 如图,在棱长为a的正方体中,点M为A1B上任意一点,求证:DM∥平面CB1D1.
![](https://img.xkw.com/dksih/QBM/2020/10/10/2568104637374464/2569571144040448/STEM/c71c8b489c324a5687dbe4ee3b3213b7.png?resizew=183)
您最近一年使用:0次
2020-10-12更新
|
402次组卷
|
3卷引用:安徽省蚌埠市田家炳中学2020-2021学年高二上学期10月月考数学(文)试题
解题方法
8 . 如图,在正三棱柱
中,
为棱
的中点.
![](https://img.xkw.com/dksih/QBM/2021/6/5/2736409118883840/2801090348744704/STEM/1b5ff506-778b-42b0-b5c9-cb4416de5fb2.png?resizew=177)
(1)若
是面积为6的直角三角形,则此三棱柱的体积为多少?
(2)在线段
上确定一点
,使得
平面
,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71f2185273bf04c11118c7954f7ec822.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6024fd4532f5f981deac4582c799a6ef.png)
![](https://img.xkw.com/dksih/QBM/2021/6/5/2736409118883840/2801090348744704/STEM/1b5ff506-778b-42b0-b5c9-cb4416de5fb2.png?resizew=177)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1c3a59c194a2365abcd14cc3f0e6d25.png)
(2)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/020ebe1219437129358b986eb9e70bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0457394ce4f2dc8d940c565c94dcf557.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
您最近一年使用:0次
2021-09-04更新
|
267次组卷
|
3卷引用:山西省吕梁市柳林县2020-2021学年高一下学期5月月考数学试题
山西省吕梁市柳林县2020-2021学年高一下学期5月月考数学试题(已下线)8.5 空间直线、平面的平行(精讲)-2021-2022学年高一数学一隅三反系列(人教A版2019必修第二册)第六章 立体几何初步(B卷·提升能力) -2021-2022学年高一数学北师大版2019必修第二册
解题方法
9 . 如图,三棱锥
中,
,
,E为PC的中点,M为AB的中点,点F在PA上,且
.
![](https://img.xkw.com/dksih/QBM/2017/11/30/1828561936621568/1832057493217280/STEM/71fbfa3c06cf43debb00100ef89b8c38.png?resizew=189)
求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97e89a358226b4be8786077a60555c69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a722f046ce210dce133cf61b130c7fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a41ada2c69a8c4ff1c0a9c780d2a08d.png)
![](https://img.xkw.com/dksih/QBM/2017/11/30/1828561936621568/1832057493217280/STEM/71fbfa3c06cf43debb00100ef89b8c38.png?resizew=189)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5865d488a9cf1181016fd2e866177cdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c0bfeadcf17b2a45896071f07a4a5a.png)
您最近一年使用:0次
10 . 如图,正方体
,点
,
,
分别是棱
,
,
的中点,动点
在线段
上运动.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/88593270-17f9-4475-a131-3356f268fb5a.png?resizew=166)
(1)证明:
平面
;
(2)求直线
与平面
所成角的正弦值的最大值.
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/88593270-17f9-4475-a131-3356f268fb5a.png?resizew=166)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5d45c10c00742e89d4123977720c0e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59375dfae3a8ec264204cfe78caac97d.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59375dfae3a8ec264204cfe78caac97d.png)
您最近一年使用:0次
2020-02-18更新
|
309次组卷
|
3卷引用:2020届福建省龙岩市高三上学期期末教学质量检查数学(理)试题
2020届福建省龙岩市高三上学期期末教学质量检查数学(理)试题(已下线)专练12 空间向量与立体几何综合检测卷(B卷)-2021-2022学年高二数学上册同步课后专练(人版A版选择性必修第一册)2023版 湘教版(2019) 选修第二册 过关斩将 第2章 本章复习提升