名校
解题方法
1 . 已知点
在函数
的图象上,则
到直线
的距离的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae911d5ca13a706e2172e81e348a06e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36dd638850caec98817952b1b63615b9.png)
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名校
解题方法
2 . 在平面直角坐标系中,过直线
上任一点
作该直线的垂线
,
,线段
的中垂线与直线
交于点
.
(1)当
在直线
上运动时,求点
的轨迹
的方程;
(2)过
向圆
引两条切线,与轨迹
的另一个交点分别![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1cd04dbee03d604f6750dc47b671c34.png)
①判断:直线
与圆
的位置关系,并说明理由;
②求
周长的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e74c95ccefde2639966cdb1b39978de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cfa5a9df5f910d30aff0af1aab6b4fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2273ae1ee99cec9c1304323bc9ebf75f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)当
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26c2798e02ba8ee263dc4a64968a559c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1cd04dbee03d604f6750dc47b671c34.png)
①判断:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
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名校
解题方法
3 . 直线
被圆
截得的弦长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e488bcf5c0eacfb5cb27a70038d4f77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7f269f3d5e4148989d8897efa29cc60.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-06-05更新
|
131次组卷
|
2卷引用:广东省湛江市第一中学2023-2024学年高二下学期开学考试数学试题
解题方法
4 . 在乎面直角坐标系中,O为坐标原点,已知直线
,点
为圆
上两动点,且满足
,则
到直线
的距离之和的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b9eb95b0f147bf32f84d8da1fd72e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed367b88668d973e54bbae632e92c628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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解题方法
5 . 若直线
与圆
交于
两点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3b7a6d75673d77ec7de85ca1219b4bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249d0886186d2ac9f58856bff54b8d0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
A.1 | B.![]() | C.2 | D.![]() |
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6 . 设点
是曲线
上一点,则点
到直线
最小的距离为_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ec087e5a282a4bfa9fba07e456695c9.png)
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2024-05-08更新
|
228次组卷
|
2卷引用:广东省广州市执信中学2023-2024学年高二下学期5月月考数学试卷
2024·全国·模拟预测
名校
7 . 已知直线
与圆
,过直线
上的任意一点
作圆
的切线PA,PB,切点分别为A,B,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3497af3942a788b64c6b91b62a8dbf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b2fe01a33c4825f9974ed9663a99c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
8 . 已知函数
的图象与函数
的图象关于某一条直线
对称,若
,
分别为它们图象上的两个动点,则这两点之间距离的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61cef1a81099bcb389d686fad4aafe31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8978105f3d740117dfe7819a9e241f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-16更新
|
466次组卷
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4卷引用:广东省广雅中学2024届高三下学期高考考前适应性考试数学试题
9 . 已知点P为直线
上的动点,过P作圆
的两条切线,切点分别为A,B,若点M为圆
上的动点,则点M到直线AB的距离的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5428b040be21dcd503d350478c0a4773.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56648a303009f944e1a9983c3f62c7b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c61a049177362a3448925efd065e5cf.png)
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10 . 过点
作斜率为
的直线,若光线沿该直线传播经
轴反射后与圆
相切,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aab000962b3e21db0bd949eb7a0d6fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a30ca5d6622110882f9f7ee1ce7aeb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258e40e3883271c3580c1d3c805dcac6.png)
A.![]() | B.![]() | C.2 | D.![]() |
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2024-03-26更新
|
1353次组卷
|
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