23-24高二上·上海·课后作业
解题方法
1 . 设
、
是常数,参数方程
表示的是什么曲线?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec5290f9adf5a0299dd6e8d17b6b2b84.png)
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23-24高二上·上海·课后作业
2 . 在极坐标系中,求曲线
与
的公共点到极点的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/371ed9a8f6647b919b73f4741513e900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91f11b5220813e96b65c9af4b5de0f48.png)
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3 . 在直角坐标系
中,曲线
的参数方程为
(
为参数),过点
且倾斜角为
的直线
交曲线
于
,
两点.
(1)求曲线
的普通方程和直线
的一个参数方程;
(2)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/e46c54f0c995e638772c726f7853e3d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f047e7ed44a3897ec79c6c6a0c641fcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7384b9afcef2d86a87eee0c66f383052.png)
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2023-09-06更新
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2卷引用:陕西省榆林市“府、米、绥、横、靖”五校2022-2023学年高二下学期期末联考文科数学试题
解题方法
4 . 已知椭圆C:
的焦距为
,且过点
.
(1)求椭圆的方程;
(2)在椭圆C上找一点P,使它到直线l:
的距离最短,并求出最短距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfc54254b4c055503daa45e7b33efbb7.png)
(1)求椭圆的方程;
(2)在椭圆C上找一点P,使它到直线l:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfab8f6aaf05b1db2db85b60362f3047.png)
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5 . 已知在平面直角坐标系
中,直线
的参数方程为
(
为参数).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)求曲线
和直线
的直角坐标方程;
(2)若直线
交曲线
于
两点,交
轴于点
,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/9edfb978734c376b27d5e684f72d10e1.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/925b34a1e7a48f450d883f9a0197e5c9.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/01c74a907dda6bb7d9d56d009d9df253.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/7384b9afcef2d86a87eee0c66f383052.png)
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2023-08-15更新
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3卷引用:四川省绵阳市三台县2022-2023学年高二下学期期中教学质量调研测试数学(文)试题
名校
解题方法
6 . 在平面直角坐标系
中,直线
参数方程为
(
为参数),以坐标原点O为极点,
轴的正半轴为极轴建立极坐标系,曲线C的极坐标方程为
,A为曲线C上一点.
(1)求直线
的普通方程和曲线C的直角坐标方程.
(2)若点B为直线
与曲线C在第一象限的交点,且
,求
的面积.
![](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/99155de226fe3a0bdb770ea49752ac9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61cae86283994e13c9fb79d0d4398e1a.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若点B为直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/875813437c3da795df902bbc2c8c4fab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
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2023-08-15更新
|
211次组卷
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2卷引用:内蒙古赤峰二中2022-2023学年高二下学期第二次月考数学(理)试题
名校
7 . 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
的直角坐标方程和直线
的普通方程;
(2)若直线
与曲线
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/1d9a5e780b24aab515c1c33d42fd34bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.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/92a0cd376d953465c6810eacc83fe546.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48d25e70d37af93796965efc8d342185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97421de7f49e4bc118f26f2bbe334826.png)
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2023-08-14更新
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2卷引用:四川省广安友谊中学2022-2023学年高二下学期6月月考文科数学试题
8 . 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,圆C的极坐标方程为
.
(1)求直线l的普通方程和圆C的直角坐标方程;
(2)已知点
,直线l与圆C交于A、B两点,AB的中点为D,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ca59a800e8b5aaa451351e11929f197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbc53e1dbc3b6560d78e59400e4613ff.png)
(1)求直线l的普通方程和圆C的直角坐标方程;
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/717d6955a3a453d2e52e2c1da9bcfecd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58445ab82c456a7d6be89de98ffe22bf.png)
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2023-08-12更新
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2卷引用:内蒙古赤峰市赤峰第四中学2022-2023学年高二下学5月月考理科数学试题
9 . 已知圆
和圆
的极坐标方程分别为
,
.
(1)求两圆的直角坐标方程;
(2)求经过两圆交点的直线的极坐标方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f917a2022014d9c19c29eeac84c74e2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2686b716ef6d2b7830b0757c8880b40a.png)
(1)求两圆的直角坐标方程;
(2)求经过两圆交点的直线的极坐标方程.
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10 . 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,已知直线
的极坐标方程为
.
(1)写出直线
的参数方程及曲线
的普通方程;
(2)设点
,若直线
与曲线
交于A,B两点,且
,求实数
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/65285328e8a61006b3212428f45f94a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.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/c53ba9cd913871565786fdafcc3a9c31.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)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8317fc91d04b45040abc773e31689a81.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/d1a2a889a9fa217d3fab54e5e38b13d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-06-28更新
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3卷引用:陕西省西安市长安区第一中学2022-2023学年高二下学期期末文科数学试题