解答题-问答题 适中0.65 引用1 组卷530
已知在平面直角坐标系
内,点
在曲线C:
为参数
)上运动.以
为极轴建立极坐标系,直线
的极坐标方程为![](https://img.xkw.com/dksih/QBM/2012/3/6/1570789981249536/1570789986975744/STEM/967e1066ce5341b08b364be5297a4d02.png)
(Ⅰ)写出曲线C的标准方程和直线
的直角坐标方程;
(Ⅱ)若直线
与曲线C相交于A、B两点,点M在曲线C上移动,试求
面积的最大值.
![](https://img.xkw.com/dksih/QBM/2012/3/6/1570789981249536/1570789986975744/STEM/e50b5bf3f9424df29eb09b7955d1ce74.png)
![](https://img.xkw.com/dksih/QBM/2012/3/6/1570789981249536/1570789986975744/STEM/70b136fd48df4a20b1ad638d2cbfd75f.png)
![](https://img.xkw.com/dksih/QBM/2012/3/6/1570789981249536/1570789986975744/STEM/d24ed571ae4c494fa2be1ded746c3c87.png)
![](https://img.xkw.com/dksih/QBM/2012/3/6/1570789981249536/1570789986975744/STEM/21c61276e8654af287e1450a4fed846a.png)
![](https://img.xkw.com/dksih/QBM/2012/3/6/1570789981249536/1570789986975744/STEM/3a8d275fdcfe421f9b9f78730ae68763.png)
![](https://img.xkw.com/dksih/QBM/2012/3/6/1570789981249536/1570789986975744/STEM/17e2799d49614107bbf953f06089600c.png)
![](https://img.xkw.com/dksih/QBM/2012/3/6/1570789981249536/1570789986975744/STEM/967e1066ce5341b08b364be5297a4d02.png)
(Ⅰ)写出曲线C的标准方程和直线
![](https://img.xkw.com/dksih/QBM/2012/3/6/1570789981249536/1570789986975744/STEM/17e2799d49614107bbf953f06089600c.png)
(Ⅱ)若直线
![](https://img.xkw.com/dksih/QBM/2012/3/6/1570789981249536/1570789986975744/STEM/17e2799d49614107bbf953f06089600c.png)
![](https://img.xkw.com/dksih/QBM/2012/3/6/1570789981249536/1570789986975744/STEM/54ed4579fcdf4015be4d31325d3895c3.png)
2010·吉林·模拟预测
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