1 . 已知在极坐标系和直角坐标系中,极点与直角坐标系的原点重合,极轴与
轴的非负半轴重合,曲线
的极坐标方程为
,曲线
的参数方程为
(
为参数).
(1)求曲线
的直角坐标方程和曲线
的普通方程;
(2)判断曲线
与曲线
的位置关系,若两曲线相交,求出两交点间的距离.
![](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/2082c9a7d314fe236f15bb40f2cb5428.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3da3cfc1fc65aa9fa5fe7d91371c28d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27ed74dbeba7d418a559f9c97c1df414.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(2)判断曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
您最近一年使用:0次
2018-01-05更新
|
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2卷引用:广西壮族自治区贺州市桂梧高中2018届高三上学期第五次联考数学(理)试卷
2 . 在平面直角坐标系
中,曲线
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,已知点
是曲线
在极坐标系中的任意一点.
(1)证明:
;
(2)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/591b483d798d8956d0a586070fa8ea75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.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/f23f000cde901cf7032cf3e34963fd8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c036888f401b1c247fbf7d16272ba77b.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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2017-12-05更新
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4卷引用:广西贺州市桂梧高中2018届高三上学期第四次联考数学(理)试题