1 . 已知圆在x轴上的两截距分别为a,b,在y轴上的一个截距为
,则圆的方程为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e9ea82c8c8bd3bcc518cacd54e4ab24.png)
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10-11高一下·云南红河·阶段练习
2 . 圆
+
+4x-2y-3=0的半径为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d215e8b9a565024fc6ef1a3c7a4675e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dabd4b43826f82e192d646c895dfa6c6.png)
A.8 | B.![]() | C.![]() | D.r=2 |
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19-20高一·浙江杭州·期末
解题方法
3 . 已知直线
和圆
,过直线上的一点
作两条直线
,
与圆相切于A,B两点.
(1)当
最大时,求直线
,
的斜率之和;
(2)当
时,切线
,
与直线
分别相交于点
,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23fc11a3a7592c68b20f93bdde2ed3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/893bc8c59f3a4707bd9fe3e3b8eb35e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb686e4f5e3938575bc547e849d5513f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bd9fd818bdbb19b493eff85ea584ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd24f3c4bc9f9a75d4b28630bb630d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d2f9b6e4758c4fd289bcbb23a4b5252.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f20be00ddba488c6b0ec16f1ab6eef0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450398974b1561ca801e102e16df6789.png)
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4 . 圆心为
且与直线
相切的圆方程是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19a20a61d384b658080b92d8c1a9e7c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d5d58c8c55fc8dac4fcdf3221300316.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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19-20高一·浙江杭州·期末
5 . 已知
,动点
满足
,设动点M的轨迹为C.
(1)求动点M的轨迹方程,并说明轨迹C是什么图形;
(2)求直线
斜率的范围;
(3)设直线
交轨迹C于P,Q两点,是否存在以线段
为直径的圆经过点A?若存在,求出实数m的值:若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c18ce82349fc1b3e932f2b816e25bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ff7e0ef1f622120cc1b18e9d3e80ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17b3b5e1dde66e11c8cd517ffa72b1b8.png)
(1)求动点M的轨迹方程,并说明轨迹C是什么图形;
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5c62f22d7afc5627fcb86599faa8e1.png)
(3)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d00a5df9d281dd4e1e45bf6a4d6fb27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
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