名校
1 . 如图,在平面直角坐标系
中,过
外一点
引它的两条切线,切点分别为
,若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08f798964a881ea48b2c79b7fd96ebd7.png)
,则称
为
的环绕点.
![](https://img.xkw.com/dksih/QBM/2021/8/2/2777681467408384/2782948712816640/STEM/0826976a-b1f6-4b0f-b7d9-ac20165ed90b.png?resizew=259)
(1)当
O半径为1时,
①在
中,
的环绕点是__________.
②直线
与
轴交于点
,与
轴交于点
,若线段
上存在
的环绕点,求
的取值范围;
(2)
的半径为1,圆心为
,以
为圆心,
为半径的所有圆构成图形
,若在图形
上存在
的环绕点,直接写出
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9347ab0d001ed7e8f51f9886ce88ac64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08f798964a881ea48b2c79b7fd96ebd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b685bc5ff8d47424c0d4f2f8c08e58bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9347ab0d001ed7e8f51f9886ce88ac64.png)
![](https://img.xkw.com/dksih/QBM/2021/8/2/2777681467408384/2782948712816640/STEM/0826976a-b1f6-4b0f-b7d9-ac20165ed90b.png?resizew=259)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/091e86ca89e484b331fd90125a5e5af3.png)
①在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5f4280e5155144bc68b74ecd9e3de45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
②直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bebb3b7f47e0decd48e64cb32aaa5903.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/091e86ca89e484b331fd90125a5e5af3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9347ab0d001ed7e8f51f9886ce88ac64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/180735d52856f4393e40e28e7fcc95bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c013c86ffcabc839b93c5725519c7fe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c00653a92e7962ecc3a9cc1a4a49e8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9347ab0d001ed7e8f51f9886ce88ac64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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