解题方法
1 . 在正方体
中,
为
上的一个动点,如图所示:
(1)求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
平面
;
(2)若
为正方体表面上一动点,且
,若
,求点
运动轨迹的长度.
![](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/8cfbc0b5a8fbde804bd8425a4b76d207.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/20/3fcd519a-ed93-4fd6-af0a-4b21f1edf52a.png?resizew=161)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/957a3d3c306dfb26ac61c9cbf519622e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d927585a17c2e98ef7d5a9589a26ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4775eb97d296048272d85829ea6474b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
2 . 如图,已知
,
分别是正方体
的棱
,
的中点.求证:平面
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c922e6f0acbb6c909cb7af67e3dc5022.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6f96826b5c3ca29f0b93464196a79c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89851b6a4fe58a8a042d6a97c4eb317.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/fb2c2565-502f-4deb-a868-e111e500dc79.png?resizew=168)
您最近一年使用:0次
2019-01-23更新
|
601次组卷
|
3卷引用:贵州省六盘水市六枝特区七中2018-2019学年高一上学期期末考试数学试题