1 . 极坐标系与直角坐标系xOy有相同的长度单位,以原点O为极点,以、轴正半轴为极轴.已知曲线
的极坐标方程为
,曲线
的极坐标方程为
,射线
,
,
与曲线
分别交于异于极点O的四点A,B,C,D.
(1)若曲线
关于
对称,求
的值,并求
的参数方程;
(2)若
|,当
时,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60c0a720fbbba3579a8d82ed02fe05d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df88722180153fcb77e0011df198f3b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe0bb0adb8359a0ddcfe66f2fd6fb67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17f5d2e8186f0173d7862b1d39fb3dc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cc0b99b34444ed947ed29cbf17adc7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a4d54e52b60aaeb30ac5b11791b9e05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e63cd3cb70d40ba856c01f2495357f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1ba6b6ee00c4b2763cb3fa59caa69f.png)
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解题方法
2 . 已知曲线
的极坐标方程为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbd3ce3c199186019d1922fdef184324.png)
(1)将极坐标方程化为普通方程;
(2)若点
在该曲线上,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbd3ce3c199186019d1922fdef184324.png)
(1)将极坐标方程化为普通方程;
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97cf34c4d98304f3fd6a06cbbaf0a0ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
您最近一年使用:0次