如图,在棱长为2的正方体
中,
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/130011fa-009b-41fb-b90a-112fa9aacf59.png?resizew=170)
(1)求
的长;
(2)求异面直线
与
所成的角的余弦值.
![](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/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/130011fa-009b-41fb-b90a-112fa9aacf59.png?resizew=170)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15dc61d5de97b5a40be925b278ae494c.png)
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
更新时间:2021-01-31 08:09:42
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【推荐1】在棱长是2的正方体
中,E,F分别为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/cfd77373-b5bf-44a5-98c9-c3eadd471d27.png?resizew=154)
(1)求
的长;
(2)证明:
平面
;
(3)证明:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9e5ee662272a9cda713dcff67f57155.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/cfd77373-b5bf-44a5-98c9-c3eadd471d27.png?resizew=154)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06222ee533c2484ab25321a6abbf98cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7253ffd3fc633d861810ee2e872188b6.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a5f445af1ae136773cb338920552ff2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74bca84ad86c648d3bb20c8909c8da3f.png)
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【推荐2】如图所示,棱长为1的正方体
中,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84753c1997e75a32987435bb356808c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
(1)建立适当的坐标系,求M、N点的坐标.(2)求
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84753c1997e75a32987435bb356808c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
(1)建立适当的坐标系,求M、N点的坐标.(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://img.xkw.com/dksih/QBM/2011/3/30/1570094415273984/1570094420631552/STEM/c63804fecb3b41119924541e38551beb.png?resizew=178)
您最近一年使用:0次
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【推荐1】如图,在正方体
中,
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/16/07d19797-1c93-44dd-9a28-f81b2bf0c917.png?resizew=186)
(1)求:异面直线
与
所成角的大小;
(2)求:直线
与平面
所成角的正弦值.
![](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/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/16/07d19797-1c93-44dd-9a28-f81b2bf0c917.png?resizew=186)
(1)求:异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
(2)求:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2331bccb6ebf5b9fd639df994f575a9.png)
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【推荐2】如图,在正方体ABCDA1B1C1D1中,E1,F1两点分别在A1B1,C1D1上,且
E1B1=
A1B1,D1F1=
D1C1,求BE1与DF1所成角的余弦值.
E1B1=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://img.xkw.com/dksih/QBM/2021/4/16/2701248368631808/2702520597176320/STEM/5accc3f2-985e-4982-848c-f669ce9b9942.png?resizew=225)
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