题干

在平面直角坐标系xoy中,以O为极点,x轴的正半轴为极轴的极坐标系中,直线l的极坐标方程为θ=π
4
,曲线C的参数方程为x=2cosθy=sinθ
写出直线l与曲线C的直角坐标方程
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解:直线l的极坐标方程为θ=π
4
,所以直线斜率为1,直线l:y=x;
曲线C的参数方程为

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