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1 . 已知曲线
的参数方程
.若以下曲线中有一个是
,则曲线
是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a11d818d2ddf439d1895e1bb236b47a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2019-11-16更新
|
494次组卷
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2卷引用:上海市控江中学2018-2019学年高二上学期期末质量调研数学试题
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2 . 若直线l的参数方程是
,则l的斜率为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/010e42ef8150ae11c164e1cb8f161622.png)
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2019-11-16更新
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347次组卷
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3卷引用:上海市控江中学2018-2019学年高二上学期期末质量调研数学试题
上海市控江中学2018-2019学年高二上学期期末质量调研数学试题上海市松江二中2019-2020学年高二上学期期末数学试题(已下线)专题2.1 坐标平面上的直线【章节复习专项训练】-2020-2021学年高二数学下学期期末专项复习(沪教版)
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3 . 直线
(
是参数,
)的一个方向向量是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32f3733b0cd229007aadb8cde69d9d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995ec593baa4ef50b6d87c78380953d7.png)
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2019-11-14更新
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274次组卷
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3卷引用:上海市杨浦高级中学2020-2021学年高二上学期期末数学试题
4 . 已知直线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b494093891c1a78e510617801c35af4a.png)
(1)若直线
与直线
的夹角为
,求实数
的值;
(2)若直线
被圆
(
为参数)截得的线段长为
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b494093891c1a78e510617801c35af4a.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dc261508f42e75323971f0b8282b0ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8725d4eeab5b16e517dc28c5eccac175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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5 . 在直角坐标系
中,曲线C的参数方程为
(
为参数),直线
的方程为
(
为参数)
(1)若
求曲线C与直线
的交点坐标;
(2)若曲线C上的点到直线
的距离最大值为
求实数
的值;
(3)曲线C与
轴的交点由上至下分别为
P为曲线C上异于
的一动点,若点Q满足:
判断
与
的面积之比是否为定值,若是,求出该定值;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea0a82ada06ef4019a933ff7c680e0ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5da88a192036c3e7e0f8d3960416066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f3b0a2ead66eac66c32217540f71a86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若曲线C上的点到直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b627c07acf9058dc2000f7e3b48244.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)曲线C与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d86b64ef9a89f4f1d85a7616df5c7d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b1fd1784f10d8607df59399dbf5d105.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba977cdf41dc862d49f82f2d4ada49af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ba28fa84592f63779484dd1faef8fa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afe4421ae50dcd93b61e7d8b1b7f74f3.png)
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6 . 将椭圆的参数方程
(
为参数)转化为普通方程_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/484f12db4a6a28128467d5445d403d22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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解题方法
7 . 参数方程
(
为参数)化成普通方程为______ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a83cc6eaa52e802d4855975349105b7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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8 . 参数方程
对应的普通方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96d4806723a869a0f77bc1b5b327e898.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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9 . 已知椭圆的参数方程为
则该椭圆的长轴长为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be66ba97f007c92ff8e0a46be24d4e66.png)
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10 . 无论
取任何实数,直线
与椭圆
恒有交点,则实数
的取值范围是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02ebce8b2a915356ed39f36c5bad2ebe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/314adcacb4b1bfa31a5a7118bcadc175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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