1 . 在平面直角坐标系中,直线
过点
,且倾斜角
,以坐标原点O为极点,
轴的正半轴为极轴建立极坐标系,圆C的极坐标方程为
.
(1)求直线
的参数方程和圆C的直角坐标方程;
(2)设直线
与圆C交于A,B两点,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f9a3ea5e76e165faeabfdbc9717c287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f96144368b1b5ca55648a797580f022e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69cf89e94eb51129f144d9809ec290f7.png)
(1)求直线
![](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/3979f27823cdcba516dfa885d8afe19d.png)
您最近一年使用:0次
2023-08-09更新
|
344次组卷
|
3卷引用:陕西省西安市周至县2020-2021学年高三一模文科数学试题
2 . 已知直线
过点
,且倾斜角为
,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
的直角坐标方程与
的参数方程;
(2)若
与
相交于不同的两点
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/530e5817131adf2c05b99ff18eb9060f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.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/3a7db72c31b4e8a4ba06ed2e3df734d7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若
![](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/589e503e4ec2418773dae9b8337f9c77.png)
您最近一年使用:0次
3 . 直线
(t为参数)的倾斜角是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9dae78a65f2282641ca4cda99617d14.png)
您最近一年使用:0次
4 . 在平面直角坐标系
中,直线
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)求直线
的普通方程和曲线
的直角坐标方程;
(2)已知点
,直线
与曲线
相交于
两点,求
.
![](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/af774717701279c62ae0b2bd3bda1131.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/f781a1c9df6e57af166df59a1163cc3f.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e9b5e076078240e0c5ad9763a9824d3.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/559d66fd8b309fd440ce9bda78a579c9.png)
您最近一年使用:0次
2023-03-26更新
|
428次组卷
|
4卷引用:陕西省渭南市韩城市新蕾中学2021-2022学年高二上学期第三次月考文科数学试题
5 . 在平面直角坐标系xOy中,直线l的参数方程为
(t为参数),点
,以原点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
.
(1)将曲线C的极坐标方程化为直角坐标方程,并说明表示什么曲线;
(2)若直线l与曲线C相交于A,B两点,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb3650d075519951a7b6ed181ad2134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0e567a12d78ed0df0d1a2b241abdde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79de7c27544f42a55d586d49c69a83cd.png)
(1)将曲线C的极坐标方程化为直角坐标方程,并说明表示什么曲线;
(2)若直线l与曲线C相交于A,B两点,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/559d66fd8b309fd440ce9bda78a579c9.png)
您最近一年使用:0次
名校
6 . 在平面直角坐标系xOy中,曲线C的参数方程为
(t为参数).以原点O为极点,x轴的正半轴为极轴建立极坐标系,直线l的极坐标方程为
.
(1)求曲线C的普通方程与直线l的直角坐标方程;
(2)设M,N是曲线C与直线l的公共点,点P的直角坐标为(0,1),求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b064077e76a5c6f389ff7efa3071caa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fa329cb0558d9d15c61387a904b5746.png)
(1)求曲线C的普通方程与直线l的直角坐标方程;
(2)设M,N是曲线C与直线l的公共点,点P的直角坐标为(0,1),求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e177345aea68c21205d3ff3107eb1f03.png)
您最近一年使用:0次
2023-03-19更新
|
236次组卷
|
4卷引用:陕西省榆林市神木中学2020-2021学年高二下学期第四次测试理科数学试题(B)
7 . 在平面直角坐标系
中,直线
经过点
,倾斜角为
,曲线
的参数方程为
(
为参数).
(1)写出直线
的参数方程和曲线
的普通方程;
(2)设直线
与曲线
相交于
,
两点,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/521d2cbdff8483ebba708857163ef1d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b08c5220809ecdd6095b2c3590cb524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(1)写出直线
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3979f27823cdcba516dfa885d8afe19d.png)
您最近一年使用:0次
2023-03-18更新
|
655次组卷
|
2卷引用:陕西省西安市周至县2021届高三下学期二模文科数学试题
8 . 在平面直角坐标系
中,直线
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)求曲线
的直角坐标方程;
(2)设点
,若直线
与曲线
相交于
两点,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/e77219b1e8b89402aeff5495baa95e07.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/32ce86d323a15aed40a6da0278bb103b.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6951479694aec937a712901634a5a4b.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3979f27823cdcba516dfa885d8afe19d.png)
您最近一年使用:0次
9 . 已知直线l的参数方程为
(t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C的极坐标方程为
,曲线C与直线l交于A、B两点.
(1)求直线l的普通方程和曲线C的直角坐标方程;
(2)设
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1afe5bbe4d584aa64eaf5d9cb672c9f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/841afc4d922ade4abfae0bceeaae425f.png)
(1)求直线l的普通方程和曲线C的直角坐标方程;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2382eb09cd27d7f763c2be1d0c37cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95528428e272493925e5f5cc934d3713.png)
您最近一年使用:0次
2023-03-13更新
|
265次组卷
|
3卷引用:陕西省渭南市韩城市新蕾中学2020-2021学年高二下学期第一次月考理科数学试题
10 . 在平面直角坐标系
中,直线
的参数方程为
(
为参数),以原点О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)设
,直线
与曲线C交于A、B两点,求
.
![](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/a31bcd01d8437e25d8ca5d661c6b94b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/442ff84284c62c591a30c742c5cf47b0.png)
(1)求曲线C的直角坐标方程;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1b6f209d1a805437046ca6ef79dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/559d66fd8b309fd440ce9bda78a579c9.png)
您最近一年使用:0次