如图,在三棱锥
中,
,
都为等边三角形,
,
,M为
中点,则异面直线
与
所成角的余弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf410aab32ba002b2c4e7343e7efd4c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
A.![]() | B.![]() | C.![]() | D.0 |
22-23高一下·河南周口·期末 查看更多[5]
河南省周口市2022-2023学年高一下学期期末数学试题安徽省淮北市第十二中学2023-2024学年高二上学期期中考试数学试题(已下线)13.2.2 空间两条直线的位置关系-【帮课堂】(苏教版2019必修第二册)(已下线)8.6.1 直线与直线垂直-同步精品课堂(人教A版2019必修第二册)青海省海东市第二中学2023-2024学年高二上学期第二次月考数学试题
更新时间:2023-07-13 23:01:29
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【推荐1】如图,已知矩形ABFE与矩形EFCD所成二面角
的平面角为锐角,记二面角
的平面角为α,直线EC与平面ABFE所成角为β,直线EC与直线FB所成角为γ,则( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b0e2cf0fd7285677efac7127f0fdb6.png)
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C.![]() ![]() | D.![]() ![]() |
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【推荐2】如图,
中,
,D为
中点,
沿
翻折过程中,直线
与直线
所成的最大角、最小角分别记为
,直线
与直线
所成最大角、最小角分别记为
,则有( ).
![](https://img.xkw.com/dksih/QBM/2020/12/19/2617719021690880/2617774593515520/STEM/7175be3d-09a8-43cb-965a-cf0d322a4ad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9da9162740e1780144a13bbc1e91da1e.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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解题方法
【推荐1】如图所示,在正方体
中,
是线段
上的动点,则异面直线
与
所成的角为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/2/3e819ec9-b52b-4893-a430-30e6bfe59710.png?resizew=155)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
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解题方法
【推荐2】如图,在棱长为2的正方体
中,
为棱
的中点,
为棱
上一动点.给出下列四个结论:
①存在点
,使得
平面
;
②直线
与
所成角的最大值为
;
③点
到平面
的距离为
;
④点
到直线
的距离为
.
其中所有正确结论的个数为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/4/a86a51e6-2969-40aa-8bc7-121ee837a94b.png?resizew=168)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
①存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f9d682e5d3cc8573574d8d11636758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea848cd2aa3a464618020475097949fc.png)
②直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
③点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea848cd2aa3a464618020475097949fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
④点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38be38165dc2307982fc57001a447c56.png)
其中所有正确结论的个数为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/4/a86a51e6-2969-40aa-8bc7-121ee837a94b.png?resizew=168)
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