名校
1 . 如图,在
中,
,记
,在平面直角坐标系
中,定义
为这个直角三角形的坐标,
为点
对应的直角三角形.有下列结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/22/0918c8b1-3eaa-4183-824b-ae4c42239b08.png?resizew=121)
①在
轴正半轴上的任意点
对应的直角三角形均满足
;
②在函数
的图象上存在两点边
,使得它们对应的直角三角形相似;
③对于函
的图象上的任意一点
,都存在该函数图象上的另一点
,使得这两个点对应的直角三角形相似;
④在函数
的图象上存在无数对点
与
不重合),使得它们对应的直角三角形全等.
所有正确结论的序号是__________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8f88798ec42a58dccd212586382b23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a69550d878381f6e8fb436e88638f070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e75c2fa4b59463e8bb5f779b59c95e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8f88798ec42a58dccd212586382b23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/22/0918c8b1-3eaa-4183-824b-ae4c42239b08.png?resizew=121)
①在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f70d6f5baadf8139ee650b84f2fde70.png)
②在函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7410b30b6a4f665c7edd62a9c512261.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
③对于函
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d172f94b35bde8b8c35d73f918e4e84a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
④在函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89364e8aa7e160bdb2cfd7d647a6cd11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85ca3bd143460a43bba7f60399c3ff85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
所有正确结论的序号是__________.
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