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1 . 圆C:
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/16/8ae97bbc-20aa-4eca-9c42-de7675706a20.png?resizew=266)
(1)若圆C与y轴相切,求圆C的方程;
(2)已知
,圆C与x轴相交于两点M、N(点M在点N的左侧).过点M任作一条直线与圆O:
相交于两点A、B问:是否存在实数a,使得
?若存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/843f4be818179fa92002b153809aa253.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/16/8ae97bbc-20aa-4eca-9c42-de7675706a20.png?resizew=266)
(1)若圆C与y轴相切,求圆C的方程;
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08227ca941898eb34941f446ca8b1de8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d5ce23462dfd28929430b74b9590940.png)
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2022-10-14更新
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1145次组卷
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3卷引用:甘肃省兰州第一中学2022-2023学年高二上学期期中考试数学试题
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2 . 在平面直角坐标系
中,已知圆
的方程为
,
点的坐标为
.
(1)求过点
且与圆
相切的直线方程;
(2)过点
任作一条直线
与圆
交于不同两点
,
,且圆
交
轴正半轴于点
,求证:直线
与
的斜率之和为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2beb91f10d2d8f2aa0dcc3f5cd1598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f84269a13118a599708926a24c53d925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e1a4e2d41655ea7214d61bf6ed34e1b.png)
(1)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e61620a272dada8d4b9a9fab6379dfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30513ea48bc1ef3ae78adac83d894f14.png)
您最近一年使用:0次
2019-02-06更新
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2036次组卷
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5卷引用:甘肃省天水市第一中学2020-2021学年高一上学期期末数学试题
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解题方法
3 . 已知直线l:
,半径为4的圆C与直线l相切,圆心C在x轴上且在直线l的右上方.
(1)求圆C的方程;
(2)过点M (2,0)的直线与圆C交于A,B两点(A在x轴上方),问在x轴正半轴上是否存在定点N,使得x轴平分∠ANB?若存在,请求出点N的坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45eaae310afe86d8dbdd9079328cf5c3.png)
(1)求圆C的方程;
(2)过点M (2,0)的直线与圆C交于A,B两点(A在x轴上方),问在x轴正半轴上是否存在定点N,使得x轴平分∠ANB?若存在,请求出点N的坐标;若不存在,请说明理由.
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2018-07-17更新
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837次组卷
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2卷引用:【全国百强校】甘肃省兰州第一中学2017-2018学年高二下学期期末考试数学(文)试题