23-24高二上·上海·课后作业
1 . 求极坐标方程分别是
和
的两个圆的圆心距.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e0cb878349009a779d94b1bc40319bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdebedd02b4ea57f8562443742086d3.png)
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2 . 已知在极坐标系中,O为极点,圆C的极坐标方程为
,点P的极坐标为
,求△OCP的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd8dc7c8ad282702a925c291fee3ecda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d63ac244b1cf9332bbe2eb1a94492bf.png)
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3 . 已知圆C的极坐标方程为
,直线l的方程为
.以极点为坐标原点,极轴为
轴正半轴建立直角坐标系
.
(1)求圆C的圆心坐标及半径;
(2)直线l与圆C的交点为A,B,求三角形ABC的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2498014af7cd2a1a822ef62d63b4c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
(1)求圆C的圆心坐标及半径;
(2)直线l与圆C的交点为A,B,求三角形ABC的面积.
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2021-08-09更新
|
456次组卷
|
3卷引用:宁夏海原第一中学2020-2021学年高二下学期期末考试数学(理)试题
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4 . 已知直线l的参数方程是
(t是参数),以坐标原点为极点,x轴的正半轴为极轴建立极坐标系,曲线C的极坐标方程
.
(1)试判断直线l与曲线C的位置关系;
(2)过直线l上的一点作曲线C的切线,求切线长的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22234f89e6479adf2f6437179261b3f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a75934991276501f7973f7356a30a93.png)
(1)试判断直线l与曲线C的位置关系;
(2)过直线l上的一点作曲线C的切线,求切线长的最小值.
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5 . 已知圆
的极坐标方程为
,直线
的参数方程为
(
为参数).若直线
与圆
相交于不同的两点
.
(1)写出圆
的直角坐标方程,并求圆心的坐标与半径;
(2)若弦长
,求直线
的斜率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e58a71fae1de5266cd2ac0bcf526cb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/111a8ff5a388b990b0db7d0846e411aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
(1)写出圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若弦长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c4963d116d232acb4f69e86455cdf81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2017-02-08更新
|
745次组卷
|
2卷引用:福建省泉港一中2016-2017学年高二下学期期末考文科数学试题
6 . 设过原点
的直线与圆
:
的一个交点为
,点
为线段
的中点.
(1)求圆
的极坐标方程;
(2)求点
轨迹的极坐标方程,并说明它是什么曲线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bb283bf6681cd7d6b8ec1209b936321.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/abd13974aebe38eb2a1d744a01ea5aa5.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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2016-12-02更新
|
1238次组卷
|
2卷引用:河北省承德一中2016-2017学年高二下学期第一次月考数学理试题
7 . (1)已知矩阵
,若矩阵
对应的变换把直线
:
变为直线
,求直线
的方程.
(2)在极坐标系中,圆
的方程为
,以极点为坐标原点,极轴为
轴 的正半轴建立平面直角坐标系,直线
的参数方程为
(
为参数),求直线
被 圆
截得的弦
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab347c098252993f4bc85b530e80b23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512f4c29ff276b7f35052ad4cc255ab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/739287b139efcbb65361b1b2e6b94b01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/739287b139efcbb65361b1b2e6b94b01.png)
(2)在极坐标系中,圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bbe1455e96ddefae948510aaa20da99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edf4e77a87a32d0c1d64261a5c057261.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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