在平面直角坐标系xOy中,已知曲线C的参数方程为
(α为参数,直线l:y=kx(k>0),以O为极点,x轴正半轴为极轴建立极坐标系.
(Ⅰ)求曲线C的极坐标方程;
(Ⅱ)若直线l与曲线C交于A,B两点,求|OA|•|OB|的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95967cf7587617d8884b1aad49f6943e.png)
(Ⅰ)求曲线C的极坐标方程;
(Ⅱ)若直线l与曲线C交于A,B两点,求|OA|•|OB|的值.
更新时间:2019-04-26 21:42:45
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【推荐1】在平面直角坐标系中,已知
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【推荐2】在极坐标系中,已知直线
与曲线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26eba877f6b8ae45c09f2263b5b82a87.png)
(1)若直线l与曲线C有两个交点A,B,求
;
(2)若点P是曲线上与A,B相异的任一点,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede78a08069da18280a50f5c4c64c5aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26eba877f6b8ae45c09f2263b5b82a87.png)
(1)若直线l与曲线C有两个交点A,B,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05da40a2d7dab5d6a003906ca19d4749.png)
(2)若点P是曲线上与A,B相异的任一点,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
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【推荐1】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,
轴的非负半轴为极轴的极坐标系中.曲线
的极坐标方程为
.
(Ⅰ)写出直线
的普通方程和曲线
的直角坐标方程;
(Ⅱ)判断直线
与曲线
的位置关系,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7795aec93c2c7ac2fd93e6747ca6516c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90dc734bf3fc48f8266512e2f4a2d65f.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/2c2fa07e41f6a7ce322ce6f892c4565c.png)
(Ⅰ)写出直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(Ⅱ)判断直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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【推荐2】在直角坐标系xOy中,曲线C的参数方程为
(θ为参数),在以O为极点,x轴的正半轴为极轴的极坐标系中,直线l:
(m为常数).
(1)求曲线C的普通方程与直线l的直角坐标方程;
(2)若直线l与曲线C相交于A、B两点,当|AB|=4时,求实数m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/848af32bcb230b8b8ecb3021aa891cb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee204ac80b7ac583fdf064184b23a09.png)
(1)求曲线C的普通方程与直线l的直角坐标方程;
(2)若直线l与曲线C相交于A、B两点,当|AB|=4时,求实数m的值.
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【推荐3】在平面直角坐标系
中,已知直线
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)求直线
的普通方程和曲线
的直角坐标方程;
(2)设点
,直线
与曲线
的交点为
,
,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/89949a2c28c7ba56d7927c2691a02bba.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/09b4f4e8e65b7ad885efd86b5963f383.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设点
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