问题
填空题
已知P(x,y)是圆x2+(y-3)2=1上的动点,定点A(2,0),B(-2,0),则
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答案
=(2-x,-y);PA
=(-2-x,-y),PB
∵P(x,y)在圆上,∴
•PA
=x2-4+y2=6y-8-4=6y-12,PB
∵2≤y≤4,∴
•PA
≤12.PB
故答案是12.
已知P(x,y)是圆x2+(y-3)2=1上的动点,定点A(2,0),B(-2,0),则
|
=(2-x,-y);PA
=(-2-x,-y),PB
∵P(x,y)在圆上,∴
•PA
=x2-4+y2=6y-8-4=6y-12,PB
∵2≤y≤4,∴
•PA
≤12.PB
故答案是12.