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问题 填空题
已知圆M的极坐标方程ρ2-4
2
ρcos(θ-
π
4
)+6=0，则ρ的最大值为 ______．
答案

将原极坐标方程ρ2-4

2
ρcos(θ-
π
4
)+6=0，化为：

ρ2-4ρ（cosθ+sinθ）=0，

化成直角坐标方程为：x2+y2-4x-4y=0，

它表示圆心在（2，2），半径为

2
的圆，

圆上的点到原点的最远距离是：2

2
+
2
=3
2
．

故填：3

2
．

完形填空
完形填空。
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I like dancing    4    I can dance very well.    5    you like dancing? I like singing, too.    6    favourite singer (歌手) is Jay Chou. I like running, too. It is my favourite    7   . I can swim and    8    football, but I can't
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