1 . 已知
为直线
上一动点,过点
向圆
作两切线,切点分别为
.
(1)求四边形
面积的最小值及此时点
的坐标;
(2)求原点到直线
距离的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061af1c7a4480004221e253d813efe07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5baa05a2e645d661508642375e3cf3a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(1)求四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcc1a89a6a4e99d65b83b4e3ab3ed4eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)求原点到直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
2020高三下·全国·专题练习
名校
2 . 已知圆
的圆心在
轴上,且与圆
的公共弦所在直线的方程为
,则圆
的方程为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffd767240a603ca0c0db5567707eb704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b386e2c5d9ad7cec404ce5c40dbebe42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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2020-06-19更新
|
168次组卷
|
4卷引用:陕西省西安高新第一中学2021-2022学年高一下学期月考2数学试题
陕西省西安高新第一中学2021-2022学年高一下学期月考2数学试题(已下线)文科数学-6月大数据精选模拟卷01(新课标Ⅲ卷)(满分冲刺篇)(已下线)理科数学-6月大数据精选模拟卷01(新课标Ⅲ卷)(满分冲刺篇)湖北省部分省级示范高中2020-2021学年高二上学期期中联考数学试题
3 . 若圆
与圆
的公共弦
的长为
,则圆
上位于
下方的点到
的最长距离为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73e25b317906ca42ab1c73779cb462ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1cc9ebfcca86e46326a5e0014807089.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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4 . 在极坐标系中,圆
的极坐标方程为
.以极点为坐标原点,以极轴为
轴的非负半轴,建立平面直角坐标系.
(1)写出圆
的直角坐标方程;
(2)已知圆
的极坐标方程为
,求圆
与圆
的公共弦长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e0cb878349009a779d94b1bc40319bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)写出圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/094ab3a9f3a40f6fc88a4184371dc745.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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2卷引用:甘肃省平凉市静宁县两校2022-2023学年高三上学期第一次质检考试数学(理科)试题