名校
1 . 已知在平面直角坐标系
中,直线
的参数方程为
为参数),曲线
的方程为
,以坐标原点为极点,
轴的正半轴为极轴建立极坐标系.
(1)求直线
和曲线
的极坐标系方程;
(2)曲线
分别交直线
和曲线
于
,
,求
的最大值.
![](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/cacd69e8c01f692644ecf23a698f003e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df1c0641a25a9fb16dbaf3882d9fda6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e01035418ebde69b8a1dfc05262307de.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93728ef42ca9c29b96823fd08fb63348.png)
您最近一年使用:0次
2020-09-13更新
|
1552次组卷
|
8卷引用:2020届湖南省湘潭市高三下学期第三次模拟考试文科数学试题
2 . 在平面直角坐标系
中,已知
是曲线
(
为参数)上的动点,将
绕点
顺时针旋转90°得到
,设点
的轨迹为曲线
.以坐标原点
为极点,
轴的正半轴为极轴建立极坐标系.
(1)求曲线
的极坐标方程;
(2)在极坐标系中,直线
与曲线
分别相交于异于极点
的
两点,点
,当
时,求直线
的斜率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/831dfe1c660d85f0eb5e1cd9aff16fde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0009063fe00277645aff1be6e32471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e9feabc99f62ee569b460e61526e2e.png)
(2)在极坐标系中,直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/414a9bea6349daa548706f27c075eb6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e9feabc99f62ee569b460e61526e2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c6951969ec772373ad0017ce62eaf97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cb8fc1c1ff0b33616a96f25e7e79f50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
3 . 在平面直角坐标系
中,直线
的参数方程为
(t为参数,
).在以坐标原点为极点、x轴的非负半轴为极轴的极坐标系中,曲线C的极坐标方程为
.
(1)若点
在直线l上,求线l的直角坐标方程和曲线C的直角坐标方程;
(2)已知
,点P在直线l上,点Q在曲线C上,且
的最小值为
,求a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/e7db34dce6bb771c8a3614cf2bc76332.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c959bcd32a2156e211b6c2598f79195.png)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dabad522c9ce2d1b341cc7942d80bf5.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5b12cb349052537a085fb73e72eb799.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/839c7616cd0d90265f4b2c9c021254fe.png)
您最近一年使用:0次
名校
4 . 在直角坐标系
中,曲线
的参数方程为
(
为参数),在以坐标为极点,
轴正半轴为极轴的极坐标系中,直线
的极坐标方程为
.
(1)求曲线
的普通方程,并指出曲线
是什么曲线;
(2)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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6957b93a95125e6a453876916c91a47d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.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/7a812371e2f11748bf5b0ffb2b620d39.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57dfc9d1109fe41145cc892b5702d9fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2019-01-19更新
|
1127次组卷
|
12卷引用:【市级联考】湖南省湘潭市2019届高三上学期第一次模拟检测数学(文)试题
【市级联考】湖南省湘潭市2019届高三上学期第一次模拟检测数学(文)试题【市级联考】湖南省湘潭市2019届高三上学期第一次模拟检测数学(理)试题【市级联考】陕西省商洛市2019届高三第一学期期末教学质量检测数学(理)试题【市级联考】陕西省商洛市2019届高三第一学期期末教学质量检测数学文科试题甘肃省白银市靖远县2018-2019学年高二下学期期末数学(文)试题甘肃省白银市靖远县2018-2019学年高二下学期期末数学(理)试题陕西省商洛市洛南中学2020-2021学年高三上学期第一次模拟数学(理)试题(已下线)专题22 坐标系与参数方程-2020年高考数学(文)母题题源解密(全国Ⅰ专版)(已下线)专题22 坐标系与参数方程-2020年高考数学(理)母题题源解密(全国Ⅰ专版)河南省名校联盟2022-2023学年高三上学期摸底联考文科数学试题河南省名校联盟2022-2023学年高三上学期摸底联考理科数学试题新疆伊犁州奎屯市第一高级中学2023届高三上学期12月月考文科数学试题
5 . 选修4-4:坐标系与参数方程
在平面直角坐标系
中,曲线
的参数方程为
(
为参数),
是
上的动点,动点
满足
.
(1)求动点
的轨迹
的参数方程;
(2)在以
为极点,
轴的正半轴为极轴的极坐标系中,射线
与
异于极点的交点为
,与
异于极点的交点为
,求
.
在平面直角坐标系
![](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/3ed309bb375f65717b0d3af72928e8b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d61b408da2989f1d4cf02dd8bd42554d.png)
(1)求动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)在以
![](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/734a6a1d319648bb969845a9159cdba7.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/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
名校
6 . 已知直线l的参数方程为
(t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,曲线C的极坐标方程为2ρ2-ρ2cos 2θ=12.若曲线C的左焦点F在直线l上,且直线l与曲线C交于A,B两点.
(1)求m的值并写出曲线C的直角坐标方程;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a851c25cfb83980becf4c2c9f510fb2.png)
(1)求m的值并写出曲线C的直角坐标方程;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4321e8cb11c82e3d5e192c23ba6674b8.png)
您最近一年使用:0次
2017-04-04更新
|
938次组卷
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