1 . 以平面直角坐标系中的坐标原点为极点,
轴的正半抽为极轴,建立极坐标系,曲线
的极坐标方程是
,直线
的参数方程是
(
为参数).
(1)求曲线
的直角坐标方程;
(2)若直线
与曲线
交于
、
两点,且
,求直线
的倾斜角
.
![](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/af945db69d4ce3e341305220b3208d91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93f2415d0cfa0236b948e4ce59e8aa09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5b0c139cda1dee4783eb642dcf45526.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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2019-12-16更新
|
446次组卷
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2卷引用:2019年11月中学生标准学术能力诊断性测试测试文科数学试题(一卷)
2 . 已知直线l的参数方程为
为参数
,以坐标原点为极点,x轴的正半轴为极轴建立极坐标系,曲线C的极坐标方程为
,若直线l与曲线C相交于两点A,B,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df58c19754c553223d49b2ebac96210.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6fb95b0af18c19ccc693d4c9f2c1e4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/234b06decdca520948d4a943c29569b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df58c19754c553223d49b2ebac96210.png)
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