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1 . 已知曲线的参数方程是
(
为参数),若以此曲线所在直角坐标系的原点为极点,x轴的正半轴为极轴建立极坐标系,则此曲线的极坐标方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4ae5e48443f8bf67c69289daa5d54d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9-10高二下·辽宁·期中
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2 . 把方程
化为以
参数的参数方程是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/377a2333ff8c63cbdb20b882d6d5a7ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2016-12-01更新
|
992次组卷
|
6卷引用:2011—2012学年广东省深圳高级中学高二下期中理科数学试卷
(已下线)2011—2012学年广东省深圳高级中学高二下期中理科数学试卷(已下线)2010年辽宁省东北育才学校高二下学期期中考试数学(理)试题2015-2016学年宁夏六盘山高中高二下第二次月考文数学卷河北省枣强中学2016-2017学年高二下学期第三次月考数学(理)试题2018届高三数学训练题(84):极坐标与参数方程 山西省古县第一中学2019-2020学年高二下学期期中数学(理)试题
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3 . 选修4-4:坐标系与参数方程
已知极坐标系的极点与直角坐标系的原点重合,极轴与直角坐标系中
轴的正半轴重合.若曲线
的参数方程为
(
为参数),直线
的极坐标方程为
.
(1)将曲线
的参数方程化为极坐标方程;
(2)由直线
上一点向曲线
引切线,求切线长的最小值.
已知极坐标系的极点与直角坐标系的原点重合,极轴与直角坐标系中
![](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/d5bdc47a611dfd255e158cbaccef747b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30b57ff08f63f084edd418e124963884.png)
(1)将曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)由直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2016-12-04更新
|
588次组卷
|
6卷引用:2016届广东省深圳市高三第二次调研考试数学(理)试卷
4 . 在平面直角坐标系xoy中,直线l的参数方程为
(
为参数),曲线
.以坐标原点为极点,x轴正半轴为极轴建立极坐标系,曲线
的极坐标方程为
.
(1)若点
在曲线
上,求
的取值范围;
(2)设直线l与曲线
交于M、N两点,点Q的直角坐标为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44fede037499b40b65bc57fd5b179675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e6113774add630fb87f541984d14f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbbd143c29c0a6013ce143a06c07ae67.png)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77214b51150ce43f33ac344727f2d0b3.png)
(2)设直线l与曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879a4007beef22e009248112d664f7c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daed4cd3d0adc30a511f6b6a5b431fec.png)
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5 . 在直角坐标系
中,曲线
的参数方程为
(
为参数),其中
.以原点为极点,
轴正半轴为极轴建立极坐标系,曲线
的极坐标方程为
.
(1)求出曲线
的普通方程和曲线
的直角坐标方程;
(2)已知曲线
与
交于
,
两点,记点
,
相应的参数分别为
,
,当
时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e1929da1e95272ae3e6596e1a946dd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2521ce3378c8f5e55af99c35aa9cd421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f42fee1c17c3c66d2c38928f5e3948dc.png)
(1)求出曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)已知曲线
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.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/87c7eb49a823f757461cd5260757b088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd84a8f95166367063218ee03ffd5a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd7ce93c4c5a57748ab3da63802d544f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
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2018-04-10更新
|
713次组卷
|
2卷引用:广东省深圳市红岭中学2020届高三上学期第二次统一考试数学(理)试题
6 . 以平面直角坐标系的原点O为极点,x轴非负半轴为极轴,并在两种坐标系中取相同的长度单位,建立极坐标系.曲线
的极坐标方程为
,曲线
的参数方程为
,(
为参数).
(1)求曲线
的直角坐标方程及
的普通方程;
(2)已知点P、Q为曲线
与曲线
的交点,W为参数方程
(
为参数)曲线
上一点,求点W到直线
的距离d的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4896a48a060a764236414e375bb58620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/464cb49a6cb42a2a6d9ea8aaad7a8ec1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)已知点P、Q为曲线
![](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/7576d3525f23102b4dc5748ef8ae769b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94459e87c666facddbe1a23ae1899d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
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14-15高三上·广东深圳·阶段练习
7 . 已知在直角坐标系中曲线
的参数方程为
(
为参数且
),在以原点
为极点,以
轴正半轴为极轴建立的极坐标系中曲线
的极坐标方程为
,则曲线
与
交点的直角坐标为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f69287593c8b4e62427b6d0acb37e814.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c7afba7fa24b295454141892a5a986.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
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8 . 极坐标方程
和参数方程
为参数)所表示的图形分别是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2daff1943bf9145e8f19ed1a817c97d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06a8aac42c0e934a441004ec4f5246d9.png)
A.圆与直线 | B.圆与椭圆 | C.直线与圆 | D.直线与椭圆 |
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2017-09-06更新
|
784次组卷
|
2卷引用:广东省深圳市宝安中学2016-2017学年高二下学期期中考试数学(文)试题
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9 . 已知极坐标系的极点与直角坐标系的原点重合,极轴与直角坐标系的x轴的正半轴重合,直线的参数方程是
(t为参数),曲线C的极坐标方程为
.
(Ⅰ)求曲线C的直角坐标方程;
(Ⅱ)设直线与曲线C相交于M、N两点,求M、N两点间的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b46fc61f0ebb8c12a8df43b361763ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c5fdc444697708f273bead395a9fac9.png)
(Ⅰ)求曲线C的直角坐标方程;
(Ⅱ)设直线与曲线C相交于M、N两点,求M、N两点间的距离.
![](https://img.xkw.com/dksih/QBM/2018/6/1/1957916105940992/null/STEM/15142239b7fa4289bc31becdb428feda.png?resizew=260)
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10 . 选修4-4:坐标系与参数方程
已知圆
的参数方程为
(
为参数),若
是圆
与
轴正半轴的交点,以坐标原点
为极点,以
轴正半轴为极轴,建立极坐标系,设过点
的圆
的切线为
.
(1)求直线
的极坐标方程;
(2)求圆
上到直线
的距离最大的点的直角坐标.
已知圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8841d51b90cc62b4474e5ad2c39a5b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d522b66d988b63406dd037dc3bac3937.png)
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2017-08-23更新
|
506次组卷
|
2卷引用:【全国百强校】广东省深圳外国语学校2017-2018学年高二下学期第二学段考试数学(文)试题