名校
1 . 已知直线
:
(t为参数)与圆
:
交于
、
两点,当
最小时,
的取值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/409599667f16160252c0526d40af252f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f917a2022014d9c19c29eeac84c74e2f.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/3f4dfec890cdfdda355e19463f3be813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-03-16更新
|
783次组卷
|
4卷引用:江苏省苏州市2022届高三下学期3月模拟数学试题
2 . 在直角坐标系
中,以坐标原点
为极点,以
轴非负半轴为极轴,建立极坐标系,直线
的极坐标方程为
,曲线
的参数方程为
,求
与曲线
交点的直角坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd26f13f5ad3301df296cd0ccc48bf5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d6e772f7552eb55fe1af4accc2e7d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
名校
3 . 在平面直角坐标系
中,直线l的参数方程为
(t为参数),椭圆C的参数方程为
(
为参数).若直线l被椭圆C所截得的弦长为
,求实数m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930e984f78d8ffe2dd97557fa40a8ae5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2e30611a7e3bf1cc539a17c3b7fb1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cee7999b079f73b469a90326b151a55.png)
您最近一年使用:0次
2020-07-15更新
|
114次组卷
|
2卷引用:江苏省苏州市常熟中学2020届高三下学期校内适应性考试数学试题
名校
解题方法
4 . 在平面直角坐标系中,直线
的参数方程为
(
为参数,
),圆
的参数方程为
(
为参数),若直线
与圆
恰好相切,求
的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8276665c1cd1f2769e1ca634ffa79a9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10adc3992efb2badc23f81d36faa206f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/136ccd1e704e3554b3d4113a3f0cae08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.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/e170f206fdbbd834aad7580c727e2cc6.png)
您最近一年使用:0次
2020-06-10更新
|
210次组卷
|
2卷引用:江苏省苏州市昆山震川高级中学2020届高三下学期三模数学试题
5 . 在极坐标系中,直线
的极坐标方程为
.以极点为原点,极轴为
轴的正半轴建立平面直角坐标系,曲线
的参数方程为
(
为参数).求直线
与曲线
交点
的直角坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/744a49c9068fbc04ad5889f4138d4c6a.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/a2384ee848e19546cae351d8c765c7c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.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/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
解题方法
6 . 在平面直角坐标系
中,以坐标原点为极点,x轴正半轴为极轴建立极坐标系.直线
的极坐标方程为
,椭圆C的参数方程为
(t为参数).若直线
与椭圆C交于A,B两点,求线段AB的长.
![](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/e0cca793435b542c3d698b0921eb0e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92a7b03321df3594568bc820343006f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
名校
7 . 以坐标原点为极点,
轴的正半轴为极轴,且在两种坐标系中取相同的长度单位,建立极坐标系,判断直线
为参数)与圆
的位置关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65e2808102a2c71234e30582e183d22c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed21d7f9a4853315fd60b6e9a6837294.png)
您最近一年使用:0次
2020-02-25更新
|
331次组卷
|
8卷引用:2020届江苏省苏州市吴中区高三高考模拟数学试题
8 . 在平面直角坐标系
中,椭圆
的参数方程为
.在极坐标系(与直角坐标系
取相同的长度单位,且以原点O为极点,以x轴正半轴为极轴)中,直线
的方程为
.
(1)求直线
的直角坐标方程和椭圆C的普通方程;
(2)若直线
与椭圆C有公共点,求
的取值范围.
![](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/b32f3067bafc9c96f9803bf3749b8db7.png)
![](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/7f7517ae6760855f06f33a11dfe43c81.png)
(1)求直线
![](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/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
9 . 在平面直角坐标系
中,椭圆
的参数方程为
.在极坐标系(与直角坐标系
取相同的长度单位,且以原点O为极点,以x轴正半轴为极轴)中,直线
的方程为
.
(1)求直线
的直角坐标方程和椭圆C的普通方程;
(2)若直线
与椭圆C有公共点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2beb91f10d2d8f2aa0dcc3f5cd1598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b64de479012b960f7e383bdab0d3c67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2beb91f10d2d8f2aa0dcc3f5cd1598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9ca53fb03b71516159529cb75094a90.png)
(1)求直线
![](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/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
名校
10 . 选修4-4:坐标系与参数方程
在平面直角坐标系
中,直线
的参数方程为
(其中
为参数).在以坐标原点为极点,
轴的正半轴为极轴的极坐标系中,圆
的极坐标方程为
.
(1)分别写出直线
的普通方程和圆
的直角坐标方程;
(2)若直线
与圆
相切,求实数
的值.
在平面直角坐标系
![](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/d28724ff1e0503a5a2eabb20bd926bc2.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/6d1cd3c051307cfa5a1cf38cec78c3a5.png)
(1)分别写出直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2018-07-05更新
|
767次组卷
|
3卷引用:【全国市级联考】江苏省苏州市2017-2018学年高二下学期学业质量阳光指标调研理数试题