1 . 已知圆
,圆
过
作圆
的切线,切点为
(
在第二象限).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/ab1136fa-e8d3-476f-8a0a-fbbaa0a58eac.png?resizew=165)
(1)求
的正弦值;
(2)已知点
,过
点分别作两圆切线,若切线长相等,求
关系;
(3)是否存在定点
,使过点
有无数对相互垂直的直线
满足
,且它们分别被圆
、圆
所截得的弦长相等?若存在,求出所有的点
;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73bccf8bdcfbf3f0daa2e2b5492e29e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/ab1136fa-e8d3-476f-8a0a-fbbaa0a58eac.png?resizew=165)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe66d45f07f3ce0954009ed11302e26.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bec550c01b4f075f22ab67f5e55ed5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(3)是否存在定点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23e0db273061d0331e4e5da9ff1e955e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce08b357f11ef44c3e8207ac574422a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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2020-04-25更新
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2卷引用:江苏省无锡市宜兴市2018-2019学年高一下学期第二学段考试数学试题