求过点
且与两坐标轴都相切的圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42063a77ffa09dfb068ef8809c11b07.png)
21-22高二·全国·课后作业 查看更多[2]
更新时间:2022-02-28 16:18:55
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解答题-问答题
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解题方法
【推荐1】已知直线
,点
,圆
经过
两点,且圆心在直线
上.
(1)求圆
的标准方程;
(2)若
为圆
上的动点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aa3227349546a6cc56ab8a3c3ee3057.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d7a220da838099cc502389bf0babb0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/972333e7be779fe63d6bdc1d80b41a50.png)
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解答题-问答题
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较易
(0.85)
【推荐2】已知圆C经过A(0,-1)和B(2,3)两点,圆心在直线
上.
(1)求圆C的方程;
(2)点P在圆C上,若
,求直线AP的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0985b973395bcd371cd1e26d3fcd1c36.png)
(1)求圆C的方程;
(2)点P在圆C上,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73cdd39e76a61ba4de9dc633dafcf4d6.png)
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【推荐1】已知点
,直线
,直线
过点
且与
垂直,直线
交圆
于两点
.
(1)求直线
的方程.
(2)求弦
的长.
(3)求与直线
平行且与圆相切的直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcadfe766e5ce650c693bb394fb7473d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90a93a0f50e7c070a9b03ad051178758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)求弦
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(3)求与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐2】已知圆
,过原点的直线
与其交于不同的两点
.
(Ⅰ)求直线
斜率
的取值范围;
(Ⅱ)求线段
的中点
的轨迹
的方程;
(Ⅲ)若直线
:
与曲线
只有一个公共点,求
的取值范围.
![](https://img.xkw.com/dksih/QBM/2016/5/4/1572615207157760/1572615212761088/STEM/3113d2abef9f483eabd1b8cdbf042e30.png)
![](https://img.xkw.com/dksih/QBM/2016/5/4/1572615207157760/1572615212761088/STEM/b44043a2f14d455284ed775971e319ce.png)
![](https://img.xkw.com/dksih/QBM/2016/5/4/1572615207157760/1572615212761088/STEM/6bff863f0a09416eafa6b67ab53378ae.png)
(Ⅰ)求直线
![](https://img.xkw.com/dksih/QBM/2016/5/4/1572615207157760/1572615212761088/STEM/b44043a2f14d455284ed775971e319ce.png)
![](https://img.xkw.com/dksih/QBM/2016/5/4/1572615207157760/1572615212761088/STEM/7b28ca0dd1624ea2994891050e70ef9c.png)
(Ⅱ)求线段
![](https://img.xkw.com/dksih/QBM/2016/5/4/1572615207157760/1572615212761088/STEM/602b283fded84ef7ba70390776fbb68b.png)
![](https://img.xkw.com/dksih/QBM/2016/5/4/1572615207157760/1572615212761088/STEM/88f63e9ad59e4c10ab9c8fa639b2925a.png)
![](https://img.xkw.com/dksih/QBM/2016/5/4/1572615207157760/1572615212761088/STEM/04bb1e7237d2408d86dac4665a858957.png)
(Ⅲ)若直线
![](https://img.xkw.com/dksih/QBM/2016/5/4/1572615207157760/1572615212761088/STEM/63d4c7d5ff6d4e4ca065f1d9435e12aa.png)
![](https://img.xkw.com/dksih/QBM/2016/5/4/1572615207157760/1572615212761088/STEM/bed378a05fb6401d925bb35635a27b93.png)
![](https://img.xkw.com/dksih/QBM/2016/5/4/1572615207157760/1572615212761088/STEM/04bb1e7237d2408d86dac4665a858957.png)
![](https://img.xkw.com/dksih/QBM/2016/5/4/1572615207157760/1572615212761088/STEM/44e20b8e8c0f44c791d9442e5659f389.png)
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