2013·河南·一模
名校
1 . 【辽宁省葫芦岛市2018年二模】直角坐标系
中,直线
的参数方程为
(
为参数),在极坐标系(与直角坐标系
取相同的长度单位,且以原点为极点,以
轴正半轴为极轴)中,圆
的方程为
.
(1)求圆
的直角坐标方程;
(2)设圆
与直线
交于点
,若点
的坐标为
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2beb91f10d2d8f2aa0dcc3f5cd1598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab46bde94e2b0c0a9a22a18862641d5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2beb91f10d2d8f2aa0dcc3f5cd1598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96799b7866bedcf3ba2d1536473e9b3b.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ae1567d8f98fabc1a3948f8602cc5e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b946de10d868704c0a2d15cca5b77a2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb710e6fac4c406e4715ecd6fa28744.png)
您最近一年使用:0次
2018-06-01更新
|
1782次组卷
|
22卷引用:2016届海南省海南中学高考模拟十文科数学试卷
2016届海南省海南中学高考模拟十文科数学试卷2016届海南省海南中学高考模拟十理科数学试卷(已下线)2013届河南省高三高考适应性考试理科数学试卷(一)2016届河南省洛阳市高三考前练习二文科数学试卷辽宁省实验中学2017届高三下学期第六次模拟考试数学(文)试题辽宁省葫芦岛协作体2017届高三下学期模拟考试(6月)数学(文)试题辽宁省葫芦岛协作体2017届高三下学期模拟考试(6月)数学(理)试题2【全国校级联考】辽宁省葫芦岛协作体2017届高三下学期模拟考试(6月)数学(理)试题【全国市级联考】辽宁省葫芦岛市2018届高三第二次模拟考试数学(文)试题【全国市级联考】辽宁省葫芦岛市2018年普通高中高三第二次模拟考试 数学理【全国百强校】四川省成都市第七中学2018-2019高三毕业班零诊模拟考试数学(理)试题【全国百强校】四川省成都市第七中学2017-2018学年高中毕业班零诊模拟考试数学(文)试题【全国百强校】四川省眉山市仁寿第一中学校南校区2019届高三第一次调研考试数学(文)试题辽宁省葫芦岛协作体2017届高三下学期模拟考试(6月)数学(理)试题12017届湖北襄阳五中高三上学期开学考数学(文)试卷河南省郑州市第一中学2018届高三上学期期中考试(理科)数学试题(已下线)2018年高考题及模拟题汇编 【理科】8.复数、算法与选修(已下线)2018年高考题及模拟题汇编 【文科】8.复数、算法与选修【全国百强校】山西省临汾第一中学2017-2018学年高二下学期期末考试数学(理)试题重庆市铜梁一中2019届高三10月月考数学(文)试题【全国百强校】内蒙古包头市北方重工业集团有限公司第三中学2018-2019学年高二下学期期中考试数学(文)试题安徽省阜阳市太和第一中学2019-2020学年高二(超越班)下学期教学衔接调研考试数学(理)试题
2 . 在平面直角坐标系
中,曲线
的参数方程为
,(
为参数).以坐标原点为极点,
轴正半轴为极轴,建立极坐标系,直线
经过点
,且与极轴所成的角为
.
(1)求曲线
的普通方程及直线
的参数方程;
(2)设直线
与曲线
交于
两点,若
,求直线
的普通方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ae3750d6578439045a46aa75d2dac6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.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/2d9002ffa612561172758f4dd1d26034.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)设直线
![](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/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1312fa59e5b0c73d1c8d76d5e40b406b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2020-03-18更新
|
479次组卷
|
5卷引用:2019届天一大联考海南省高中毕业生班阶段性测试(三)文科数学试题
3 . 在平面直角坐标系
中,已知直线
:
(
为参数),以坐标原点
为极点,
轴的正半轴为极轴建立极坐标系,曲线
的极坐标方程为
.
(1)求曲线
的直角坐标方程;
(2)设点
的极坐标为
,直线
与曲线
的交点为
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21d9c05dd476c8bb46fa36b732dec55d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87336632fa522b53e317d3e9c4f9a8e9.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b4444b4b64ae328919a8ca2b83eca4.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e255cb6ef5a18b9e800397c55a81bf9.png)
您最近一年使用:0次
2018-03-07更新
|
1436次组卷
|
6卷引用:海南省2018届高三阶段性测试(二模)数学文试题
名校
4 . 以直角坐标系的原点
为极点,
轴的正半轴为极轴,建立极坐标系,已知直线
的参数方程为
(
为参数,
),曲线
的极坐标方程为
.
(1)求直线
的普通方程和曲线
的直角坐标方程;
(2)设直线
与曲线
相交于
两点,当
变化时,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/6bd93a2571c2c9dd3ff99d71e9ffe707.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/685b502c12386145585c3016c57d09b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/459b8ded5edd02420d002252c3313396.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设直线
![](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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
您最近一年使用:0次
2017-09-02更新
|
1073次组卷
|
11卷引用:2017届海南省海口市高三4月调研测试数学(理)试卷
2017届海南省海口市高三4月调研测试数学(理)试卷海南省(海南中学、文昌中学、海口市第一中学、农垦中学)等八校2018届高三上学期新起点联盟考试数学(理)试题2017届河南省新乡市高三第二次模拟测试 数学(理)试卷海南省(海南中学、文昌中学、海口市第一中学、农垦中学)等八校2018届高三上学期新起点联盟考试数学(文)试题河北省涞水波峰中学2018届高三上学期联考数学(理)试题河北省涞水波峰中学2018届高三上学期联考数学(文)试题海南省海口二中2021届高三(10月)第二次高考调研测试数学试题陕西省西安市第一中学2024届高三数学模拟预测文科数学试题山东省菏泽市九校2018届高三第一学期期末联考(理)数学试题福建省南平市浦城县2018-2019学年高二下学期第一次月考数学(理)试题陕西省子长市中学2024届高三上学期第三次模拟考试理科数学试题
名校
5 . 选修4-4:坐标系与参数方程
在直角坐标系
中,直线
过
,倾斜角为
(
).以
为极点,
轴非负半轴为极轴,建立极坐标系,曲线
的极坐标方程为
.
(I)求直线
的参数方程和曲线
的直角坐标方程;
(II)已知直线
与曲线
交于
、
两点,且
,求直线
的斜率
.
在直角坐标系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8518878533c905a5b458adc59ad174d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90f3d0eda0c7c20702c7d5398aa34042.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4313f830e9be762a14205f2c2141d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f97e22c9dd88a2510de9e5a309191934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca66a268d6f46e0e9d5d9151b785be60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00999b9a5320bad39b04ad762aa71a0a.png)
(I)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca66a268d6f46e0e9d5d9151b785be60.png)
(II)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca66a268d6f46e0e9d5d9151b785be60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e2868b617c871e18c928c9a573bc8c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49de2536004d4f0819e781fffca41a2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69afcce0b4da490d83893a9988b252ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2016-07-01更新
|
1071次组卷
|
5卷引用:2016届海南省华侨中学高三考前模拟理科数学试卷
6 . 选修4-4:坐标系与参数方程
已知直线
的参数方程为:![](https://img.xkw.com/dksih/QBM/2016/5/31/1572673995808768/1572674001879040/STEM/af6af08037bf41a78a8bf75680c0d971.png)
(1)若
,
上一点
对应的参数值
,求
的坐标和
的值;
(2)
与圆
交于
,求
的值.
已知直线
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572673995808768/1572674001879040/STEM/05d40804dde543e08a8a11bbcccaad83.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572673995808768/1572674001879040/STEM/af6af08037bf41a78a8bf75680c0d971.png)
(1)若
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572673995808768/1572674001879040/STEM/edb81b259e944294ae389d872b89c201.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572673995808768/1572674001879040/STEM/05d40804dde543e08a8a11bbcccaad83.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572673995808768/1572674001879040/STEM/7a34223a83374dc1bf363075e554b1f0.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572673995808768/1572674001879040/STEM/ae3ef4b94a5340f3a1cd2e124408f3b8.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572673995808768/1572674001879040/STEM/7a34223a83374dc1bf363075e554b1f0.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572673995808768/1572674001879040/STEM/f28495453f714eb5b585bb3aa38d46fd.png)
(2)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572673995808768/1572674001879040/STEM/05d40804dde543e08a8a11bbcccaad83.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572673995808768/1572674001879040/STEM/c7d374d841c14808b340946fc3055e22.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572673995808768/1572674001879040/STEM/f60d3354464a405992e881fa73534876.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572673995808768/1572674001879040/STEM/75a513dc7a9a41f29834974105dbf808.png)
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