如图,矩形
中,
,
,
是
的中点,将
沿
折起,使折起后平面
平面
,则异面直线
和
所成的角的余弦值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f460edcced5597615113c0fdc95b1dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d28c625d7ac6878957facc8274d459c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ff27eea7545bb06f9472f91290c54e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
18-19高一下·湖北·期末 查看更多[5]
湖北省省实验、武汉中学等学校联考2018-2019学年高一下学期期末数学试卷湖北省部分重点中学(武汉1中,3中,6中,11中等六校)2018-2019学年高一下学期期末联考数学试题(已下线)考点25 几何法解空间角(练习)-2021年高考数学复习一轮复习笔记江西省九江三中2019届高三上学期中理数试题(已下线)核心考点8 立体几何中综合问题 B提升卷 (高一期末考试必考的10大核心考点)
更新时间:2019-07-15 21:06:35
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【知识点】 异面直线所成的角的概念及辨析
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解题方法
【推荐1】直线m和平面
所成角为
,则直线m和平面
内任意直线所成角的取值范围是_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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【推荐2】棱长为1的正方体
中,点
、
分别在线段
、
上运动(不包括线段端点),且
.以下结论:①
;②若点
、
分别为线段
、
的中点,则由线
与
确定的平面在正方体
上的截面为等边三角形;③四面体
的体积的最大值为
;④直线
与直线
的夹角为定值.其中正确的结论为______ .(填序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.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/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29819c98ebd087116d5e579f4f088fe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c2ccb5a8a2b3bed5cb127b6ffc6dc57.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/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0e825de4e5ade72e45a28c8f75b1dea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fffe70910079ad65b954b6640562cfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5563473602e1b17d582a165b7b7b6b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a604466a9c8d10d557b3dfc43b547065.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/6afafe8f-772f-4a2c-a8bb-019835c6a1c9.png?resizew=198)
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【推荐3】如图,在正方体
中,有下列结论:
![](https://img.xkw.com/dksih/QBM/2020/3/4/2412208525680640/2413025761886208/STEM/9238d87d2b0244669b42e0090d37c021.png?resizew=235)
①
平面
;②
平面
;
③
与底面
所成角的正切值是
;
④
与
为异面直线.
其中正确结论的序号是______ .(把你认为正确的结论的序号都填上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://img.xkw.com/dksih/QBM/2020/3/4/2412208525680640/2413025761886208/STEM/9238d87d2b0244669b42e0090d37c021.png?resizew=235)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c233b95865198572282d7a66ce689e94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86eec8526479272d15bb3b171a46de0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d1d2e0f281222a5f289ea4008370aed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86eec8526479272d15bb3b171a46de0.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
其中正确结论的序号是
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