1 . 已知直线
与圆
交于
两点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
__________ ;若P是圆C上的一点,则
面积的最大值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc806d3f350745b279cce376cc10b76f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f5ea2fac7c0ba74c976899f2f29bdd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
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2 . 数学著作《圆锥曲线论》中给出了圆的一种定义:平面内,到两个定点A,B距离之比是常数
(
,
)的点M的轨迹是圆.若两定点
,
,动点M满足
,点M的轨迹围成区域的面积为______ ,△ABM面积的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be362dec96173f246ff747264007817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/472393b18c7880e73b40e31fbe2d951c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ee80939187a84e1863eeb192a301c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d03fa28c117649b0fdfe17eed7b583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4943a9de5768ea62d17111981861d5ac.png)
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2023-01-18更新
|
498次组卷
|
6卷引用:广东省广州市2022-2023学年高二上学期期末数学试题
广东省广州市2022-2023学年高二上学期期末数学试题广西桂林市荔浦县荔城中学2022-2023学年高二上学期期末考试数学试题(已下线)模块四 专题5 重组综合练(广东)期末终极研习室(高二人教A版)(已下线)模块五 专题1 期末全真模拟(基础卷1)高二期末山东省临沂市临沭第一中学2023-2024学年高二上学期第二次教学质量检测数学试题(已下线)通关练09 圆的方程15考点精练(59题)- 【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)
名校
3 . 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)
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名校
4 . 已知
为坐标原点,圆
:
,圆
上到直线
的距离等于1的点最多有______ 个,过直线
上任一点
作圆
的切线,切点为A,
,则四边形
面积的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/409e1c4ec5676366a00032317a7c3c78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06eecac8dd7105ca172efe2e88336626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9c75d0f8a8d94c8589a5a1ca18709cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec51d1ad99e9e93296c43ed1b2b8ed5e.png)
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5 . 已知圆
,则圆
与圆
的位置关系是___________ ;若点P在直线l:
上运动,点Q在圆
与圆
的圆周上运动,则|PQ|的最小值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b49774540df725b954255316e7d04b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1fd72f36c81a55cafa92739ee87f743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
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名校
6 . 已知圆
,圆
,动点P在x轴上,动点M,N分别在圆
和圆
上,则圆
关于x轴的对称圆的方程为___ ;
的最小值是____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10e1a22be89f302cdd79245f837a0195.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07e4f63ac5ec9357e1c60e8ddb590eb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1b3031d7393a63719166285314d73f.png)
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2021-11-26更新
|
337次组卷
|
4卷引用:江苏省镇江市扬中市第二高级中学2022-2023学年高二上学期期末考前热身数学试题
7 . 设点
是抛物线
的焦点,过点
作倾斜角为
直线交抛物线于
,
两点,则以线段
为直径的圆的半径是______ ,若该圆上恰有三个点到直线
的距离为2,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764b3e42f3b088957622e6dc49ea9aad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
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2021-01-29更新
|
290次组卷
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2卷引用:浙江省湖州市2020-2021学年高三上学期期末数学试题
8 . 已知平面内两点
,
,动点
满足
,则点
的轨迹方程为________ ,点
到直线
的距离的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0929421a6188c3122442866b0b85a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ef03f452410ab19c6246567c427178.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69d6803eaa206f498c6090c70d83c1f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2b905d12adb1d83dd79b0b6512a32ab.png)
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2021-01-27更新
|
234次组卷
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4卷引用:浙江省台州市2020-2021学年高二上学期期末数学试题
9 . 设
是圆
上的点,则
到直线
的最长距离是___________ .最短距离是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c62a5bc2ddd8b57ed3ab0e3adc507d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab27d8b4541b9754fb52a439d2c1b90.png)
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10 . 圆
上的点到直线
的最近距离为___________ ,最远距离为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2433e54cb5655eb23a9c8a18cee01c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6e15daf7b14dbff32c390f4984dcfb.png)
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2020-09-06更新
|
1273次组卷
|
2卷引用:浙江省杭州之江高级中学2020-2021学年高二上学期期末数学试题