如图,AC,DF分别为正方形ABCD和正方形CDEF的对角线,M,N分别是线段AC,DF上的点,且
,
.
证明:
平面BCF;
证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6fc20c19869dfc83de9f730a3a7f1dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/508ce097807bdac04acbdeba6bc0efe4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/6/847e1af9-6edb-4ba4-971f-efae2e1c188d.png?resizew=120)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd19c4db61254be8512edf741bf9f978.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/955f12953784fe4c9b928409ebbc580b.png)
更新时间:2019-02-14 13:43:54
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解答题-证明题
|
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解题方法
【推荐1】如图,在四棱锥
中.
![](https://img.xkw.com/dksih/QBM/2020/5/21/2467719934124032/2470541536935936/STEM/6ffa2e0812964b28837456ec065956c4.png?resizew=227)
若
平面
,
,求证:平面
平面
;
若
,
,
为
的中点,求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://img.xkw.com/dksih/QBM/2020/5/21/2467719934124032/2470541536935936/STEM/6ffa2e0812964b28837456ec065956c4.png?resizew=227)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f753c66e82980ba545b4ae340f45da4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5dd496ee0c1170ef6dcc48266ee444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9396a2523d078c7fafbdcf231a9e772d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04c222223dae9ef27d4c132534d9848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60e349d07c0ae25a9d8bd29b3ce9d132.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c372d059202ec388960b125d4a87dc84.png)
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【推荐2】如图,在长方体
中,
,
,点
和点
在棱
上,且
.
平面
;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55a2310cbba5e050488cd9296eb195d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27db558e8db4c957654c8e5cecd2d2dc.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/c51c82ce87faf5fb5300e41726e77106.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f33fa5152ba27f7b8a28890cefca219.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfaf581b4f42a25087f7eee23a7d66b6.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe9817fddbb5ececa7290372e576ea47.png)
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解答题-证明题
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解题方法
【推荐1】如图,在正方体
中,
、
分别为
、
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/17/183e2390-544e-4e27-b88d-f818d47be664.png?resizew=161)
(1)求证:
;
(2)求证:
平面
.
![](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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c08f80a9b38074366fd7a0151ff143d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2657191a56c0a9deb864763498935706.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/17/183e2390-544e-4e27-b88d-f818d47be664.png?resizew=161)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02a0e00113872f921116b6c0c3177d0f.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ae72f5e5891249caa10c43224da89c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c241f900cb6ed341c137a3d71216a4.png)
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解题方法
【推荐2】如图,
平面
,四边形
是正方形,且
,试求:
(1)点
到
的距离;
(2)求异面直线
与
所成的角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39967d6f3aed6ce7b6643787795d451d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/782cdbf4efecd6cd3e7b44abb6926af7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/4/1312acc5-b131-4198-9e90-bde57bbdf440.png?resizew=160)
(1)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5c62f22d7afc5627fcb86599faa8e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
您最近一年使用:0次
解答题-证明题
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(0.85)
解题方法
【推荐3】已知在直三棱柱
中,
.
![](https://img.xkw.com/dksih/QBM/2020/3/12/2418141015580672/2418702611668992/STEM/9fa2bfa12e8546729dd26fd9d94d2a8d.png?resizew=187)
(1)求证:
平面
;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://img.xkw.com/dksih/QBM/2020/3/12/2418141015580672/2418702611668992/STEM/9fa2bfa12e8546729dd26fd9d94d2a8d.png?resizew=187)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78e8c4ebd49304b7f802657c00c17de0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52856669e6adf246c92923b4bb120d91.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3ffd87c80b17c3f8386aff4c54be61f.png)
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