1 . 在直角坐标系xOy中,直线
的参数方程为
(t为参数,
).以坐标原点
为极点,x轴的非负半轴为极轴,建立极坐标系,曲线C的极坐标方程为
.
(l)求直线
的普通方程和曲线C的直角坐标方程:
(2)若直线
与曲线C相交于A,B两点,且
.求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/290d043fd54bbe8e78b5da9ec0556187.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83a48a5834c4d801025bd3f8703def3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef9dd2dd7176f3f9cc276526f89aca69.png)
(l)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/699fc9b7e879af4866aaa07848dfb423.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2019-06-07更新
|
730次组卷
|
2卷引用:2019届山东省德州市高三第二次练习数学(理)试题
2 . 在直角坐标系xOy中,直线
的参数方程为
为参数
,直线
的参数方程为
为参数
设
与
的交点为P,当k变化时,P的轨迹为曲线C.
写出C的普通方程;
以坐标原点为极点,x轴正半轴为极轴建立极坐标系,设
:
,
与C的交点为A、B,M为线段AB的中点,求M的极径.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cdc3ca1ef473a3801e749fa6cc8ead9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c8242003b45613c597c2be31a48f364.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1ddd106a56c2519766f131b244c62b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eb061b52a5c4a804d3821cd21760f86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a999fda5febcf29a602dc236e5f65de2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cdc3ca1ef473a3801e749fa6cc8ead9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1ddd106a56c2519766f131b244c62b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e4872ea0cbe55f17f08be5a9d42139c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fe3befb851fe9f159011284c77acc73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eba8e5d97ae90048b05377cb0ba44f19.png)
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2019-04-13更新
|
550次组卷
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2卷引用:【市级联考】山东省德州市2019届高三下学期第一次练习数学(理)试题
解题方法
3 . 已知圆C:(x-3)2+(y-4)2=1,点A(-1,0),B(1,0),点P为圆上的动点,则|PA|2+|PB|2的最大值是 _____ .
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4 . 极坐标系的极点为直角坐标系
的原点,极轴为
轴的正半轴,两极坐标系中的长度单位相同.已知曲线
的极坐标方程为
,
.
(1)求曲线
的直角坐标方程;
(2)在曲线
上求一点,使它到直线
:
(
为参数)的距离最短,写出
点的直角坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.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/bcdebedd02b4ea57f8562443742086d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d0ca9a39621967d7ba5629ea9b12d78.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)在曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa836f5800641bb7d3b221356b2c0bf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
您最近一年使用:0次
2017-12-29更新
|
889次组卷
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7卷引用:山东省德州市2018届高三上学期期末考试数学(文)试题