如图,正方体
的棱长为
,P在正方形ABCD的边界及其内部运动,平面区域W由所有满足
的点P组成,则W的面积是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35361e76a7c85d1886728c8d0200b234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f7c354eacc4f5869f81604d1fc863b2.png)
![](https://img.xkw.com/dksih/QBM/2020/3/21/2424227852492800/2424312382423040/STEM/7a962f3d-21c5-4180-b6b5-fd1431796729.png)
更新时间:2020-03-21 14:19:04
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【知识点】 立体几何中的轨迹问题
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解题方法
【推荐1】已知正方体
的棱长为
,
分别为
的中点,点
在正方体表面上运动,若直线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c798204bbe306b3efd5bc9eae594c171.png)
平面
,则点
的轨迹长度为___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2abc6369f9b1d6ca99b71e7827a03910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf855163eb6c4e39aacab6759a17528.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c798204bbe306b3efd5bc9eae594c171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c0bfeadcf17b2a45896071f07a4a5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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【推荐2】如图在长方形ABCD中,AB
,BC
.E为线段DC上一动点,现将△AED沿AE折起.使点D在面ABC上的射影K在直线AE上,当E从D运动到C.则K所形成轨迹的长度为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89bc17c57b165bf77695fd243ed6f955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074609663cc1cfa6cf35a2ae9bfc1164.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/582ff058-00ba-4fa1-9749-f782cf8bb237.png?resizew=391)
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