已知正方体ABCD−A1B1C1D1的棱长为1,动点P在正方体的表面上运动,且与点A的距离为
.动点P的集合形成一条曲线,这条曲线在平面CDD1C1上部分的形状是_____ ,整条曲线的周长是_________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18483c9c195ecd922772527fa85c0fcb.png)
![](https://img.xkw.com/dksih/QBM/2020/3/19/2422814135672832/2423590688595968/STEM/bcc713be88a44d20b9719a8ce47a4280.png?resizew=146)
19-20高三下·山东潍坊·阶段练习 查看更多[2]
更新时间:2020-03-20 13:50:47
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【知识点】 立体几何中的轨迹问题
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【推荐1】如图,在边长为2正方体
中,
为
的中点,点
在正方体表面上移动,且满足
,则点
和满足条件的所有点
构成的图形的面积是_______ .
![](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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d3de94a397fd3c07a69f6875a18e6b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/df6b0328-1086-4229-a8e9-a879345ba8bd.png?resizew=155)
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【推荐2】已知正方体
的棱长为
,点
是
的中点,点
是
内的动点,若
,则点
到平面
的距离的范围是_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7941b1b4e6476e08e3259b22b3bca438.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/467c6398ec2c557fdd253013bd2519e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
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