1 . 圆(x-1)2+(y-1)2=1上的点到直线x-y=2的距离的最小值是____
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2 . 在平面直角坐标系
中,直线
与坐标轴x、y分别交于A、B两点,点P是圆
上一动点,直线在x和y轴上的截距之和为____________ ,三角形
面积的最小值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/635d0945ff5165ccbdb05b45961ed74a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02b9fe2b97ac27219b6b0a58fefcff59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
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3 . 已知圆
和点
,若圆
上存在两点
使得
,则实数
的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72ac063238d30cab85b3719ccd0f06dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/480d82e30ad56a7eaa67de5ddf627695.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/ada25f76504c3fd1226da43c94cb4277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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名校
4 . 设P,Q分别为直线
和圆
上的点,则
的最小值为__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42498f6e0fc9a61c9857b70a87f02c5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa2fc49351d3e40861e6425f726a796.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
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2023-12-11更新
|
308次组卷
|
6卷引用:河北省石家庄市第二十二中学2021-2022学年高二下学期阶段一数学试题
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5 . 直线
分别与
轴,
轴交于A,B两点,点P在圆
上,则
面积的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512f4c29ff276b7f35052ad4cc255ab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b52a761f27c69896edffebe65ef01cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a855335176fc36a15017f50a8561348.png)
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2023-06-13更新
|
589次组卷
|
5卷引用:广东省梅州市大埔县虎山中学2022-2023学年高三上学期第四次质检数学试题
广东省梅州市大埔县虎山中学2022-2023学年高三上学期第四次质检数学试题(已下线)第17讲 直线与圆的位置关系8种常见考法归类(1)浙江省嘉兴市海盐高级中学2023-2024学年高二上学期10月阶段测数学试题(已下线)第04讲 直线与圆、圆与圆的位置关系(九大题型)(讲义)-2(已下线)专题19 与圆有关的最值问题12种常见考法归类 - 【考点通关】2023-2024学年高二数学高频考点与解题策略(人教A版2019选择性必修第一册)
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6 . 若
是圆
上两个动点,且
,
到直线
的距离分别为
,
则
的最大值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79382ba44ba669b5d43fdd5427adf16c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfae5e4027c406c3eb027d5f3c05dca9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0e59480219e0af960aa6f68491813c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5edf900c810371fb21297c15f86d8743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31ac1def558351e2e3ed1235c570530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a4b32d388558eb9a9e4f0f2dd57c09.png)
您最近一年使用:0次
22-23高二·江苏·期中
7 . 已知两点
,
,点
是圆
上任意一点,则
面积的最大值为______ ,最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0929421a6188c3122442866b0b85a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29610a3415c1e795d35979a5a9ff69f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e383fcc122f267043fbafe0972bfb900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/23/31a42064-5691-4ae5-8372-512bceb23d3f.png?resizew=156)
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8 . 已知线段
是圆
的一条动弦,且
,若点P为直线
上的任意一点,则
的最小值为________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ee64de89cf6f5f5f9d137d09ad27b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a14a85d5d71e238da9f4e499faec0f30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/915214095e7786e305562acf3c083026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6adbd66e367b29cee5b5b05412e069.png)
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2022-10-03更新
|
1727次组卷
|
5卷引用:考向31直线和圆(重点)-2
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9 . 已知点
在圆
上运动,则
的最大值为__________ ,
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82aaa597a5aa6176863eda3fdf83e181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e14b5a048d3a641fed9ced044de37bf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83ea412665e3af61cb99cc3cd4764e60.png)
您最近一年使用:0次
10 . 已知平面上的动点
到点
和
的距离之比为
,则点
到
轴的距离最大值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1a9821a00b71f6b7d7a76d91b3f810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d295a4cc3a58f9f38ee98337313c81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次