1 . 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,
轴的正半轴为极轴建立极坐标系,曲线
的极坐标方程为
.
(1)求
的极坐标方程;
(2)设
与
交于
两点,若
,求
的直角坐标方程.
![](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/76613bc166dc19c406b08c790f1bfecf.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/2e94bc7b8e652128e609fefd731e9b83.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)设
![](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/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51b63bb6d659cfe62c412a6b04459be4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
您最近一年使用:0次
2 . 在直角坐标系xOy中,曲线C的参数方程是
(
为参数),以坐标原点为极点,x轴的正半轴为极轴建立极坐标系.
(1)求曲线C的极坐标方程;
(2)射线
(
且
)与曲线C分别交于点A,B,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43df4ef305400ba85a146923f9f212e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(1)求曲线C的极坐标方程;
(2)射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17f5d2e8186f0173d7862b1d39fb3dc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c04ca22dba343e23584976deeedf071f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7fdccadfa7469825f8a5ccbf495c24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37b337c93f29459c8f59a0e1cf2d94e3.png)
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2022-04-24更新
|
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5卷引用:山西省2022届高三第二次模拟数学(文)试题
名校
3 . 在直角坐标系
中,曲线
的参数方程为
(
为参数),以坐标原点O为极点,x轴的正半轴为极轴建立极坐标系,曲线
的极坐标方程为
.直线
的极坐标方程为
.
与
,
分别交于A,B两点(异于点
).
(1)求
的极坐标方程;
(2)已知点
,求
的面积.
![](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/003711c299b13691aeb1e7c34747d9a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdebedd02b4ea57f8562443742086d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/366d11e34429b1c54d82177a87300ee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/1dde8112e8eb968fd042418dd632759e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92a0d4c22734cac795de1e5c5fbefa87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a11cb104b04c4e6a1be700e81da279a.png)
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2022-03-30更新
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1004次组卷
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6卷引用:山西省临汾市2022届高三二模数学(文)试题
4 . 已知在平面直角坐标系
中,曲线
的参数方程为
(
为参数),曲线
的方程为
,以原点O为极点,x轴的正半轴为极轴建立极坐标系,两种坐标系中取相同的长度单位,直线l的极坐标方程为
,直线m的极坐标方程为
.
(1)求
和
的极坐标方程;
(2)设
,
与l分别交于M,N两点,与m分别交于P,Q两点,且M,N,P,Q均不与原点重合,求以M,N,P,Q为顶点的四边形的面积.
![](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/bf479cf6e1d57f3eef1cc084fdf17672.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5545195ade2bda359e683715332e83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13ec718aaa457bb0e1513d3b5010fcc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a92be84f10c3d62f5dca5d8eec17bdd3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
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2022-03-16更新
|
537次组卷
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4卷引用:山西省长治市第二中学校2022届高三下学期4月月考数学(文)试题
山西省长治市第二中学校2022届高三下学期4月月考数学(文)试题河南省大联考2021-2022学年高中毕业班阶段性测试(五)文科数学试题河南省大联考2021-2022学年高中毕业班阶段性测试(五)理科数学试题(已下线)押全国卷(理科)第22题 坐标系与参数方程-备战2022年高考数学(理)临考题号押题(全国卷)
5 . 在平面直角坐标系xOy中,直线l的参数方程为
,(t为参数),以坐标原点0为极点,x轴正半轴为极轴,建立极坐标系,曲线C的极坐标方程为
.
(1)求直线l的普通方程和曲线C的直角坐标方程;
(2)直线l与曲线C交于A,B两点,设点
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107fca469c3bdd9171221cf3351a6325.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1366c56bebde04866abf78a6354c9a24.png)
(1)求直线l的普通方程和曲线C的直角坐标方程;
(2)直线l与曲线C交于A,B两点,设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1b6f209d1a805437046ca6ef79dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3979f27823cdcba516dfa885d8afe19d.png)
您最近一年使用:0次
名校
6 . 在平面直角坐标系:xOy中,直线l的参数方程为
(t为参数,
),以坐标原点为极点,x轴正半轴为极轴,建立极坐标系,曲线C的极坐标方程为
.
(1)求曲线C的直角坐标方程;
(2)点
,直线l与曲线C交于A,B两点,若
,求直线l的普通方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/954f6d453a9bf808214dffd9d904e7f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10adc3992efb2badc23f81d36faa206f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c61957c73cc4e1d76be63babdb46dc0.png)
(1)求曲线C的直角坐标方程;
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d56ab70e602f2e2e291df643ab209162.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2b2be5fcfe1fbc090233138062d760d.png)
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2022-03-01更新
|
789次组卷
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6卷引用:山西省吕梁市2022届高三下学期开年摸底联考(全国卷1)数学(理)试题
7 . 在直角坐标xOy系中,以坐标原点O为极点,x轴的正半轴为极轴建立极坐标系,曲线C的极坐标方程为
,直线l的参数方程为
(t为参数,
).直线l与曲线C交于A,B两点.
(1)求曲线C的直角坐标方程和直线l的普通方程;
(2)若点
满足
,求a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/236836bd898ebf7b8d9f038851c6e071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba76208abf93b38dce794eda87a4be73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8879f9f3e7372e873ffdc9b61f0f6db.png)
(1)求曲线C的直角坐标方程和直线l的普通方程;
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fddfb522b34cecadfb60ae77ea0496cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5a291f91c0fe5c80acb68602163f580.png)
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2022-02-15更新
|
611次组卷
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2卷引用:山西省临汾市2022届高三高考考前适应性训练(一)数学(文)试题
名校
解题方法
8 . 在平面直角坐标系xOy中,曲线
的参数方程为
(t为参数),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)写出
的普通方程和
的直角坐标方程;
(2)设点P在
上,点Q在
上,求
的最小值及此时点P的直角坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45303abeb8be1f3cf03a28b5e4ff6fc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f47a5ef34d17045b3c97a0adb5ff97c.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)设点P在
![](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/d44e8bc37ed03f44470762748a8f942a.png)
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2022-01-24更新
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1269次组卷
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7卷引用:山西省晋中市2022届高三上学期1月适应性调研数学(文)试题
山西省晋中市2022届高三上学期1月适应性调研数学(文)试题山西省晋中市2022届高三上学期1月适应性调研数学(理)试题山西省大同市2022届高三上学期期末数学(理)试题山西省朔州市怀仁市第一中学2022届高三下学期第一次模拟数学(理)试题新疆喀什地区岳普湖县2022届高三第一次模拟考试数学(文)试题(已下线)解密23 坐标系与参数方程(分层训练)-【高频考点解密】2022年高考数学二轮复习讲义+分层训练(全国通用)安徽省滁州市定远县育才学校2021-2022学年高三下学期开学考试数学(理)试题
名校
解题方法
9 . 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,曲线
的极坐标系方程为
.
(1)求曲线
的普通方程,并求
的直角坐标方程;
(2)曲线
与
轴交于点
与
交于
两点,若
,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/a782fdb428a9fbacb9e6b336901389ac.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/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a97acf0f2b9f672d6179990c849a1380.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c77030a95169fb58bde953211013133.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b661c79b7b866204fd4084c37bdd4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6369cd1db768436809404b1f3c4132c0.png)
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2022-01-24更新
|
406次组卷
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3卷引用:山西省怀仁市第一中学2022届高三上学期期末数学(文)试题
10 . 在直角坐标系
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
的极坐标方程为
.
(1)求曲线
的普通方程与直线
的直角坐标方程;
(2)若直线
与曲线
交于
两点,点
,求
的值.
![](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/c6e242b9c010e06456ad4bc8a226dd46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.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/0454f6f4366f3618dc1ec322ec78e50d.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若直线
![](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/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4754fbe523ca63eba3810a3f88f37df3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7f618c20607afa7c345e81d33878148.png)
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2021-09-23更新
|
615次组卷
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8卷引用:山西省运城市2022届高三上学期期中数学(文)试题