解题方法
1 . 如图①,在矩形
中,
分别为
的中点,现将矩形
沿
折至
的位置,使得平面
平面
,
分别为
的中点,如图②所示.
(1)证明:
平面
;
(2)在线段
上是否存在点
,使得
?若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1da3d9bb8cb7672eec20e2d6070c12a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e582ef9086d16e76c804fb6f73b1664.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b25c5b6c06e1d1a0061a6fc28111e7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32c05247f6998d7a70d31d13be4148c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb5a68a008a22d5a8cea5fe8dcf31e10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77c605493ee5aed9e48f8a6b193fa7bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0db1e32fcbc3f7cad3472ef5fbad0e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/14/856bfd64-3a37-4da9-9cd2-ce4c8fd79854.png?resizew=324)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96b8c2721ada247b03f41f328539b301.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/193b5b41994c2a4dfa5bb0bc984061cc.png)
(2)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc56c77464a17a1e97b568762a3e2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dd96e8e48c343bad62a6b4fb14322f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4de9b7f06a2577f24cafe8e6f70377.png)
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