名校
解题方法
1 . 如图,已知平行六面体
中,底面ABCD是边长为1的菱形,
,
.
![](https://img.xkw.com/dksih/QBM/2021/11/25/2858768587800576/2864067164078080/STEM/e6a6964feda24deaa9b9f9cdea0e5150.png?resizew=235)
(1)求线段
的长;
(2)求异面直线
与
所成角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/462b1c65b1b233ab98a90c164c0968c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bc94d2004637a981aa24bf1c1de04c9.png)
![](https://img.xkw.com/dksih/QBM/2021/11/25/2858768587800576/2864067164078080/STEM/e6a6964feda24deaa9b9f9cdea0e5150.png?resizew=235)
(1)求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabe764f05300ac83c7d16b685d27af4.png)
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabe764f05300ac83c7d16b685d27af4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfbc0b5a8fbde804bd8425a4b76d207.png)
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名校
2 . 在△OAC中,B为AC的中点,若
,则x- y =______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b2613017de2e76bf8dd10295de827ef.png)
![](https://img.xkw.com/dksih/QBM/2018/11/2/2066752918216704/2068893139984384/STEM/4dcff83ce2684052afb057d4d147660f.png?resizew=117)
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2018-11-05更新
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3 . 如图所示,已知长方体
中,
,
为
的中点,将
沿
折起,使得
.
![](https://img.xkw.com/dksih/QBM/2017/3/31/1655498603372544/1655671527243776/STEM/eedf1d77f8c146b3be95190bb8c18d65.png?resizew=531)
(1)求证:平面
平面
;
(2)是否存在满足
的点
,使得二面角
为大小为
?若存在,求出相应的实数
;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/100af11e6cb83b56437f2db7dadeb9f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e1e88b36ff71fe69c07bade0f95f1ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/804c0e2a375b5f4ff1c420532968efc3.png)
![](https://img.xkw.com/dksih/QBM/2017/3/31/1655498603372544/1655671527243776/STEM/eedf1d77f8c146b3be95190bb8c18d65.png?resizew=531)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bb5012f6c70a1e98d682b6d021fadd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0760712e3e2ea02b755b751e760d0c55.png)
(2)是否存在满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaac8d2b8d350312c425b4f0dc5b8cd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a5266895d3c1fcb350a745bc779433b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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4卷引用:河南省息县第一高级中学2017届高三下学期第二次阶段测试理数试题
名校
解题方法
4 . 如图所示,已知在一个
的二面角的棱上,有两个点
,
分别是在这个二面角的两个面内垂直于
的线段,且
,
,
,则
的长为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/6/421401cf-eb12-4885-83a3-3b6d2cba2037.png?resizew=153)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b3c032441543354c154ee67d744abb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df3b2901ad26337818f75e81448ebb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dafddfd80f69337909f6eac0f0dbfd59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1337ce85d29edabcc2fadb9a9cc31ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/6/421401cf-eb12-4885-83a3-3b6d2cba2037.png?resizew=153)
A.![]() | B.![]() | C.![]() | D.![]() |
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2017-02-08更新
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