解题方法
1 . 已知点
为圆
上位于第一象限内的点,过点
作圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3507fafd1db352f09d29355459cbcecb.png)
的两条切线
,切点分别为
,直线
分别交
轴于
两点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/096ff746dcbbf5b53237f8b14844ba05.png)
_______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098658ddd8826dc6637297e1e6c7acdc.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df8ad3b1a11a6f66323223c37693f5c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3507fafd1db352f09d29355459cbcecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/260c5c6b68ba79277669d76d097f3976.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec8858389f4c3156a946ba8bf0d8a7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6670479a0083dd2dfd5ad55b47b1ab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec8858389f4c3156a946ba8bf0d8a7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8b3f3c6e7712b32b861739dc84b004c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/096ff746dcbbf5b53237f8b14844ba05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098658ddd8826dc6637297e1e6c7acdc.png)
您最近一年使用:0次
名校
2 . 已知圆
,点
在抛物线
上运动,过点
作圆
的切线
,切点分别为
,则四边形
面积最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c8b0267ea229309872e96681ba7eead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/147e216b76b0ac301f6ad2c78dea57b5.png)
![](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/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/283b0cef5d644b8dceb910ce2c76f21c.png)
您最近一年使用:0次
解题方法
3 . 写出一个过点
且与圆
相切的直线方程______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cceff0e7d103475c3ba9a2712f373185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f11583d5a9d06b238a94e3f24c8aa41b.png)
您最近一年使用:0次
名校
解题方法
4 . 设点
是直线
与直线
的交点,过点
作圆
的切线,请写出其中一条切线的方程:______ .(只需写一条即可).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6358e1d29f143d9985718edabedbb538.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dab13543ac1b7aa9fe583f3b229241b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f11583d5a9d06b238a94e3f24c8aa41b.png)
您最近一年使用:0次
2024·全国·模拟预测
5 . 对于任意的
,且
,均有定直线
与圆
相切,则直线
的方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c960b0019078a1e2723d623e83739fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4bd3516ad5b747980eb069c51b54e4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2024·全国·模拟预测
名校
6 . 已知圆
关于直线
对称,过点
作圆
的两条切线,切点分别为
,
,则圆心
到直线
的距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d42def67eb26b7cd0e057173242aee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdc523f751a40a21dece5645b15af9a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7d8cc13666ef5e288a3c98e2fc56aa9.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
2023·全国·模拟预测
解题方法
7 . 直线
与
轴交于
点,交圆
于
,
两点,过
点作圆
的切线,
轴上方的切点为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098658ddd8826dc6637297e1e6c7acdc.png)
__________ ;
的面积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59ca3fc27bb55971d3282e52a1e49e22.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/4260098e70d2ef82619ff47cc2269027.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098658ddd8826dc6637297e1e6c7acdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38d0469336f71edd52dc9148c67db052.png)
您最近一年使用:0次
2023·全国·模拟预测
8 . 设点P是圆
上的动点,过点P作圆
的两条切线,切点分别为A,B,则四边形PACB面积的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d3d5384c1516ec3940febd26ed6de6.png)
您最近一年使用:0次
9 . 已知圆C:,直线l的横纵截距相等且与圆C相切﹐则直线l的方程为
您最近一年使用:0次
解题方法
10 . 已知圆
和圆
,则过点
且与
都相切的直线方程为__________ .(写出一条即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73e25b317906ca42ab1c73779cb462ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba747554f34bcea1932300a32f57a6a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f4a0f56e3ffd082e7d74ae49719ac7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e9feabc99f62ee569b460e61526e2e.png)
您最近一年使用:0次