已知正方体
中,
,点M,N分别是线段
,
的中点.
的距离;
(2)判断
,M,B,N四点是否共面,若是,请证明;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e2f7554a52815bfa0f4d75221ba7397.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
23-24高一下·广西南宁·期中 查看更多[3]
广西示范性高中2023-2024学年高一下学期4月期中联合调研数学试题重庆市乌江新高考协作体2023-2024学年高一下学期5月期中数学试题(已下线)第六章立体几何初步章末二十种常考题型归类(1)-【帮课堂】(北师大版2019必修第二册)
更新时间:2024-05-01 07:15:36
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相似题推荐
解答题-问答题
|
适中
(0.65)
解题方法
【推荐1】如图所示的一块木料,其形状是正四棱柱,记作
,
是
的中点,
,
,
上是否存在一点
,使得点
在平面
上?请说明理由;
(2)现需要沿着平面
切开这块木料,再将两部分木料重新拼接成一个新的直三棱柱或直四棱柱,求新棱柱的表面积.(求出所有可能的表面积)
![](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/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9087db9949201f918e934d36c22d9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdc04622e8bed36e685b92803e2fbfd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69bcb3226e013650b7d8827c31dd41d0.png)
(2)现需要沿着平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
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解答题-问答题
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适中
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解题方法
【推荐2】图(1)是由矩形
,
和菱形
组成的一个平面图形,其中
,
,
,将其沿
,
折起使得
,
重合,连接
,如图(2).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/19/cf3dcef5-38e9-4030-8b0e-b1e687e57346.png?resizew=331)
(Ⅰ)证明图(2)中
,
,
,
四点共面;
(Ⅱ)求图(2)中二面角
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d498a0467ff3c577a7ed175d7bffd885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8f88798ec42a58dccd212586382b23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0da522aef3c452767df89b8d0eb62de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de93a4fa2069aed282b7a97a4b41afbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a02308f73ae93b7a077cea6f9bd1660.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/19/cf3dcef5-38e9-4030-8b0e-b1e687e57346.png?resizew=331)
(Ⅰ)证明图(2)中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(Ⅱ)求图(2)中二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd29cc627d76412c236aac6b29fa0fdf.png)
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解答题-问答题
|
适中
(0.65)
名校
解题方法
【推荐1】如图,在四棱锥
中,
,且
是棱
上一点,且满足
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/3c02264d-3b1e-4df5-9624-9a16f6342193.png?resizew=128)
(1)证明:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
平面
;
(2)若三棱锥
的体积是
的面积是
,求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/609653c2656cd993d77841b3922357ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71c67dae7c83183ffbf215c58ed1def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4448fd8a289320119b897a0deba4dd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc3ecf445ec08914acb644c94c4b0670.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/3c02264d-3b1e-4df5-9624-9a16f6342193.png?resizew=128)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)若三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25d83c991c3d5cf60d11454f4ea5a129.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce87b2ad30ede39a8d3e785beb4df64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
您最近一年使用:0次
解答题-证明题
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解题方法
【推荐2】已知四棱锥
中,底面
为菱形,点E为棱PC上一点(与P、C不重合),点M、N分别在棱PD、PB上,平面
∥平面
.
![](https://img.xkw.com/dksih/QBM/2022/4/18/2960912474062848/2962472470265856/STEM/f2712dd7287a49ceb2eff36478c456cc.png?resizew=228)
(1)求证:
∥平面
;
(2)若E为PC中点,
,
,
,求点A到平面EBD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/868a98a5d6337c3dd9bca228e3545665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/2022/4/18/2960912474062848/2962472470265856/STEM/f2712dd7287a49ceb2eff36478c456cc.png?resizew=228)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1885efcff0b903e314057dd153578600.png)
(2)若E为PC中点,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b17e228085eaa3c91d68620582ab6b63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45884ed34b6a258ee31c137f13b01610.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e4125524caac016727c80d2722c5ba3.png)
您最近一年使用:0次