1 . 在极坐标系中,曲线
的极坐标方程为
,曲线
的极坐标方程为
,若曲线
与
交于
、
两点,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdebedd02b4ea57f8562443742086d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72b80024f36b7b8604522ba11a6ca129.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 在直角坐标系
中,直线
,圆
.以原点
为极点,
轴的正半轴为极轴建立极坐标系.
(1)求
的极坐标方程;
(2)若直线
的极坐标方程为
,设
与
的交点为
、
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3248587f95c2722d3d6055ad3874f5e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/601baa79852f8145501bedb593697ca8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94459e87c666facddbe1a23ae1899d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c7afba7fa24b295454141892a5a986.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94459e87c666facddbe1a23ae1899d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084cf5ffced059f5653ee2a1023518b7.png)
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3 . 将极坐标方程
化为直角坐标方程得________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8936de0d585b78a8eda44553071e296b.png)
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4 . 在直角坐标系
中,已知曲线
(
为参数
),其中
.在以
为极点,
轴的正半轴为极轴的极坐标系中,已知曲线
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8f484bd0144dc12c15cd4a832219f8.png)
(1)求
与
的交点
的直角坐标;
(2)求证:交点
至少有一点在曲线
上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fc6a3cb8bb9c7624228a71f8495925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/823ab696d27d40920c39b8c910789380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10adc3992efb2badc23f81d36faa206f.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/c28564fb3c5854f15b460feb217259c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8f484bd0144dc12c15cd4a832219f8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94459e87c666facddbe1a23ae1899d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(2)求证:交点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
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5 . 极坐标方程
化为直角坐标方程,得____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39dd807c7656a1fa88d50bf28a27b1a1.png)
您最近一年使用:0次
名校
6 . 在极坐标系中,已知圆
经过点
,圆心为直线
与极轴的交点,则圆
的极坐标方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a256be1cb8b63227c3fa10a4ea9dd577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02f5608394a6a0d330073f1c9d597a42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2019-07-30更新
|
903次组卷
|
6卷引用:广西浦北中学2021-2022学年高二下学期期中考试数学(文)试题
名校
解题方法
7 . 在直角坐标系
中,圆C的直角坐标方程为
,以坐标原点
为极点,以
轴正半轴为极轴,建立极坐标系.
(1)写出圆
的极坐标方程;
(2)直线
的极坐标方程为
(
)与圆
交于
两点,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc83ecdd60b9dd5f86233a2a37b3256e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)写出圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc1f08c7640e62e8717abf4d44a6c83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d2e40c1f1ff5e667d044767de627fff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ef6568efecdabf9e1a2ebeb8438e997.png)
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2019-05-18更新
|
1312次组卷
|
7卷引用:广西北流市高级中学2021-2022学年高二3月月考数学(文)试题
广西北流市高级中学2021-2022学年高二3月月考数学(文)试题【校级联考】黑龙江省哈尔滨市呼兰一中、阿城二中、宾县三中、尚志五中四校2018-2019学年高二下学期期中考试数学(文)试题(已下线)2019年6月25日 《每日一题》选修2-2+选修2-3+选修4-4+选修4-5(理数)(下学期期末复习)——极坐标方程和直角坐标方程的互化江西省萍乡市莲花中学2020-2021学年高二下学期第一次月考数学(文)试题四川省绵阳市江油中学2020-2021学年高二下学期期中数学(文)试题四川省泸州市泸县第一中学2020-2021学年高三上学期一诊模拟考试理科数学试题四川省泸州市泸县第一中学2020-2021学年高三上学期一诊模拟考试文科数学试题
名校
8 . 在平面直角坐标系
中,曲线
的参数方程为
(
为参数),直线
的普通方程为
.以坐标原点
为极点,
轴正半轴为极轴建立极坐标系.
(1)求曲线
和直线
的极坐标方程;
(2)若直线
与曲线
交于
,
两点,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab27673c9b42877901f4d19b5c594e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e66a1d3fd21927cf15e3745286e665c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13bafd0951208e6160598f3208c7fec7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a1486450f300f451e711d2238eaca1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1b7d2453cb5ae2da2b898c139b0cb1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f2391a02b4954488886c393c3e49ab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b2a8c80bc574fc27cb32dcb06c6679.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed9af8c3fbdb748fd11e2423de063616.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e66a1d3fd21927cf15e3745286e665c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1b7d2453cb5ae2da2b898c139b0cb1b.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1b7d2453cb5ae2da2b898c139b0cb1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e66a1d3fd21927cf15e3745286e665c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76c2bb7be2e9410a16502268fd4c67be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c14c6709d2a04863cacdee618b20613e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aab001ab11bd5b7a0c05ec7fbaef3e2.png)
您最近一年使用:0次
2019-05-14更新
|
1122次组卷
|
8卷引用:广西梧州市2018-2019学年高二下学期期末数学(文)试题
名校
9 . 在平面直角坐标系xoy中,曲线C的参数方程是
(θ为参数).以坐标原点O为极点,x轴正半轴为极轴,建立极坐标系,直线l的极坐标方程为:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8edb397059118f5cd68932985d7f98c1.png)
(1)求曲线C的极坐标方程;
(2)设直线θ=
与直线l交于点M,与曲线C交于P,Q两点,已知|OM||OP||OQ|=10,求t的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67b9bf0eb6246a31295503b959471b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8edb397059118f5cd68932985d7f98c1.png)
(1)求曲线C的极坐标方程;
(2)设直线θ=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9bec2fd3becbbe4a29ebbc00234622f.png)
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2019-01-12更新
|
1201次组卷
|
7卷引用:广西南宁市第二中学2018-2019学年高二下学期期末考试数学(文)试题
名校
10 . 在平面直角坐标系
中,已知直线
的参数方程为
(
为参数).在以坐标原点
为极点,
轴的正半轴为极轴,且与直角坐标系长度单位相同的极坐标系中,曲线
的极坐标方程是
.
(1)求直线
的普通方程与曲线
的直角坐标方程;
(2)设点
.若直
与曲线
相交于两点
,求
的值.
![](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/744279d3e18d961054877a0cdf7bd984.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/da36a19b5cc556c2871c4791090dafaf.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/135e0c2f5e603b6a14592fd75584af3e.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/7ae1567d8f98fabc1a3948f8602cc5e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb710e6fac4c406e4715ecd6fa28744.png)
您最近一年使用:0次
2019-01-03更新
|
3100次组卷
|
16卷引用:广西南宁市银海三美学校2018-2019学年高二3月月考理科数学试题
(已下线)广西南宁市银海三美学校2018-2019学年高二3月月考理科数学试题【全国百强校】内蒙古第一机械制造(集团)有限公司第一中学2018-2019高二下学期期中考试数学(文)试题吉林省长春市第二中学2019-2020学年高二4月线上考试数学(理)试题宁夏石嘴山市平罗中学2019-2020学年高二下学期复学学业成绩检测数学(理)试题安徽省蚌埠市田家炳中学2019-2020学年高二下学期开学考试数学(理)试题河南省新乡市河南师大附中实验学校2021-2022学年高二下学期期中考试数学文科试题【市级联考】四川省成都市2019届高三毕业班第一次诊断性检测数学(文)试题【市级联考】四川省成都市2019届高三第一次诊断性检测数学(理)试题【市级联考】四川省成都市2019届高三第一次诊断性检测数学(文)试题2020届黑龙江省哈尔滨市第九中学高三上学期期末考试数学(文科)试题2020届山西省运城市高三调研测试(第一次模拟)数学(文)试题山西省运城市2019-2020学年高三下学期调研测试数学(文)试题宁夏回族自治区银川一中2020届高三第四次模拟考试数学(文)试题宁夏回族自治区银川一中2020届高三第四次模拟考试数学(理)试题河南省郑州市名校联考2020-2021学年高三第一次调研考试数学(理科)试题(已下线)专题13.2 参数方程 (精讲)-2021届高考数学(文)一轮复习学与练