1 . 在直角坐标系
中,直线
的参数方程为
(其中t为参数).以坐标原点O为极点,x轴非负半轴为极轴建立极坐标系,曲线
的极坐标方程为
.
(1)求
和
的直角坐标方程;
(2)设点
,直线
交曲线
于A,B两点,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/5b77b096da2571a146a185fd4f6280d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaa841c771367399f51d2bfcb9d37e87.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22840186db0afc0e2b2e8915ce79b998.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/83c1a099b4673fe2ae0f084beae1d0b2.png)
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2021-11-30更新
|
616次组卷
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2卷引用:宁夏青铜峡市高级中学2022届高三11月测试数学(理)试题
2 . 在直角坐标系
中,直线l的参数方程为
(t为参数),以坐标原点为极点,以x轴的正半轴为极轴建立极坐标系,已知曲线C的极坐标方程为
.
(1)求直线l的普通方程及曲线C的直角坐标方程;
(2)若直线l与曲线C交于A,B两点,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7795aec93c2c7ac2fd93e6747ca6516c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/946b07e8a7cfb96917a1719e2b3c83c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77da716ddef1c40128528670b3bee5c5.png)
(1)求直线l的普通方程及曲线C的直角坐标方程;
(2)若直线l与曲线C交于A,B两点,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879080beb1e55cae2639645cd64c4710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/559d66fd8b309fd440ce9bda78a579c9.png)
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2020-11-22更新
|
907次组卷
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4卷引用:黑龙江省哈尔滨市香坊区第六中学校2020-2021学年高三上学期期末数学试题
3 . 在平面直角坐标系
中,直线
的参数方程为
(
为参数),直线
的参数方程为
(
为参数).
(1)设
与
的夹角为
,求
;
(2)设
与
轴的交点为
,
与
轴的交点为
,以
为圆心,
为半径作圆,以坐标原点为极点,
轴正半轴为极轴建立极坐标系,求圆
的极坐标方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da4cd5ec779eacc4be4e5095fb56299f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6645774012589d978671458ce6684644.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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/3f4dfec890cdfdda355e19463f3be813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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2021-02-02更新
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4卷引用:河南省(天一)大联考2020-2021学年高三年级上学期期末考试文科数学试题
4 . 直线l:
(t为参数)的倾斜角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3520e4d78aa29f4b3258d9108fb555c2.png)
A.20° | B.70° | C.160° | D.120° |
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解题方法
5 . 已知在直角坐标系xOy中,曲线C的参数方程为
(
为参数),直线l经过定点
,倾斜角为
.
(1)写出直线l的参数方程和曲线C的标准方程;
(2)设直线l与曲线C相交于A,B两点,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2959ac15d5f3a791f94ab9aa19a0d3fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1b6f209d1a805437046ca6ef79dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
(1)写出直线l的参数方程和曲线C的标准方程;
(2)设直线l与曲线C相交于A,B两点,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/559d66fd8b309fd440ce9bda78a579c9.png)
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6 . 在平面直角坐标系xOy中,曲线C的参数方程为
(α为参数),在以原点O为极点,x轴正半轴为极轴的极坐标系中,直线l的极坐标方程为ρsin
=1.
(1)求C的普通方程和l的倾斜角;
(2)设点P(0,
),直线l和C交于A,B两点,求|PA|+|PB|.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbd2ecd1c7ff6fa0da7c7f001770f6d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4609074cc290d98137e644d7805c891.png)
(1)求C的普通方程和l的倾斜角;
(2)设点P(0,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
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2021-09-12更新
|
601次组卷
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3卷引用:宁夏青铜峡市高级中学2022届高三上学期第一次月考数学(文)试题
7 . 已知抛物线
的焦点为
,过
点倾斜角为
的直线与曲线
交于
,
两点(
在
的右侧),则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7ad3432ac96b0a38beaa7f2edc3499.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52bb0f4140073a47e45c5093be46f1a9.png)
A.9 | B.1 | C.![]() | D.3 |
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8 . 在极坐标系中,曲线
的方程为
.以极点为原点,以极轴为
轴的正半轴,取相同的单位长度,建立平面直角坐标系,曲线
的参数方程为
,
为参数,
.
(1)求曲线
的直角坐标方程和曲线
的普通方程;
(2)若曲线
与
轴相交于点
,与曲线
相交于
两点,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/750b0da0c643cbb92e0d50f3c67b8a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0695682f897c9b57a56921dcffc3aabe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb66f4db41478c23128adc14f2796556.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)若曲线
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e255cb6ef5a18b9e800397c55a81bf9.png)
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2020-11-01更新
|
837次组卷
|
4卷引用:黑龙江省佳木斯市第一中学2021届高三第六次调研考试数学试卷(理科)
9 . 在极坐标系中,圆 C:
.在以极点为原点,以极轴为x轴正半轴且单位长度一样的直角坐标系中,直线l的参数方程为
(t为参数)
(1)求圆C的直角坐标方程;
(2)设圆C与直线l交于点A,B.且点P
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f54e60f5072346df1abcafef504224af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/259d10ba93e943198ced5c6f60782c5b.png)
(1)求圆C的直角坐标方程;
(2)设圆C与直线l交于点A,B.且点P
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5e81fa1cb45b787ebe165ec7da5040.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf2d50a03130b0d6036f8354b81b7243.png)
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10 . 已知曲线
的极坐标方程是
,以极点为原点,极轴为
轴的正半轴,建立平面直角坐标系,直线
过点
,倾斜角为
.
(1)求曲线
的直角坐标方程与直线l的参数方程;
(2)设直线
与曲线
交于
,
两点,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d397afc063c0c5d3651a352ff8573da.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/15ed90ebf0061c8a79beed307fc1719a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1123aa100b178caaa41a2793444fc61.png)
(1)求曲线
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5026e1d5fcf2498b2e5ec5da4e0b11b2.png)
您最近一年使用:0次
2020-03-24更新
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846次组卷
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8卷引用:文科数学-2021年高考押题预测卷(新课标Ⅰ卷)03