如图,在三棱柱
中,侧面
为正方形,平面
平面
,
,M,N分别为
,AC的中点.求证:
平面
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eff0db05826cbff651faf0144904b32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f121eabff3c62c1a196d9ca5f6f83f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eaa5e336f830a3e5cd60ff7a756f3ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://img.xkw.com/dksih/QBM/2022/7/7/3017677359267840/3018414883495936/STEM/aafc6f89f794477fbec09459c869d40b.png?resizew=170)
2023高三·全国·专题练习 查看更多[5]
(已下线)专题35:空间直线、平面的平行-2023届高考数学一轮复习精讲精练(新高考专用)(已下线)专题30 直线、平面平行的判定与性质-2(已下线)专题30 直线、平面平行的判定与性质-3(已下线)第03讲 空间直线、平面的平行 (高频考点—精讲)-2(已下线)6.4.1直线和平面平行(课件+练习)
更新时间:2022-07-08 23:23:42
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相似题推荐
【推荐1】如图,在菱形
中,
,
平面
,
,
是线段
的中点,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/1/cae95667-fa2c-4aa2-ab8b-9405df3e5a61.png?resizew=228)
(1)证明:
平面
;
(2)求多面体
的表面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5640c531110986a503de677715770e62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7a38e6c6dfde2b19b6b47f35a439a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/672e7654527d91a25c0e6ea654364e2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f41e114c5c06a653bec5514fdc6c839.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/1/cae95667-fa2c-4aa2-ab8b-9405df3e5a61.png?resizew=228)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a3887474c7b81f2bde7b602defe4cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6261790c66cc71ee3898afabad0c09f4.png)
(2)求多面体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
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解答题-证明题
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较易
(0.85)
解题方法
【推荐2】如图,已知
是正三角形,
、
都垂直于平面
,且
,
为
的中点.求证:
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84427d1060a50556a161c8d7a1b5f4f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10b9c913de19bd5d9a0a67d88ff1371f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/da061498-2cfb-4e6a-b196-6ee65c4a0205.png?resizew=112)
您最近一年使用:0次
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解题方法
【推荐1】如图,已知正方体
的棱长为
分别是
的中点.
![](https://img.xkw.com/dksih/QBM/2022/7/16/3023977212796928/3026767498633216/STEM/10c1f5963af74939800e1197a3111cdc.png?resizew=206)
(1)求证:平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7935fe3125f247b7bea4f065ce9ad985.png)
平面
;
(2)求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
平面
;
(3)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bd110e5d9ab042968ec706b44e78572.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b30b4f9feb6c37052d200b9f46c6a66.png)
![](https://img.xkw.com/dksih/QBM/2022/7/16/3023977212796928/3026767498633216/STEM/10c1f5963af74939800e1197a3111cdc.png?resizew=206)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7935fe3125f247b7bea4f065ce9ad985.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86eec8526479272d15bb3b171a46de0.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b54387f870ae37f7951b253665d64f6.png)
(3)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eafde3cd0e1c6c3d09706aa0f728afa.png)
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【推荐2】如图所示的几何体ABCDFE中,△ABC,△DFE都是等边三角形,且所在平面平行,四边形BCED是边长为2的正方形,且所在平面垂直于平面ABC.
![](https://img.xkw.com/dksih/QBM/2014/1/6/1571462860136448/1571462865764352/STEM/dca127e10c074e7db1ab85a43b4b65a9.png)
(Ⅰ)求几何体ABCDFE的体积;
(Ⅱ)证明:平面ADE∥平面BCF;
![](https://img.xkw.com/dksih/QBM/2014/1/6/1571462860136448/1571462865764352/STEM/dca127e10c074e7db1ab85a43b4b65a9.png)
(Ⅰ)求几何体ABCDFE的体积;
(Ⅱ)证明:平面ADE∥平面BCF;
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解题方法
【推荐1】有两个平行四边形ABCD与ABEF,M为AC上一点,N为BF上一点,且
,求证:
平面CBE.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6b8e876337c054d3c5d43048b744a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7592c4f01c8e06c7ee90df5b9413a9f5.png)
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【推荐2】如图,三棱柱
中,
,
,点
,
分别在
和
上,且满足
,
,证明:
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f1aa2a175b729cc5caee99e809e40b6.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/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75a8673c4f89a0c79f454b1a1e939f19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf2496aa984cd7293424dd64506f937.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eaa5e336f830a3e5cd60ff7a756f3ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/21/59d313c2-12cd-4d31-9f69-4ef0e48e1f15.png?resizew=226)
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