圆C:x^2+y^2-2x-2y-7=0,设P是该圆的过点(3,3)的弦中点,则动点P的轨迹方程是?
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圆C:x^2+y^2-2x-2y-7=0,设P是该圆的过点(3,3)的弦中点,则动点P的轨迹方程是?
圆C:x^2+y^2-2x-2y-7=0,设P是该圆的过点(3,3)的弦中点,则动点P的轨迹方程是?
圆C:x^2+y^2-2x-2y-7=0,设P是该圆的过点(3,3)的弦中点,则动点P的轨迹方程是?
圆C:x^2+y^2-2x-2y-7=0
即圆C:(x-1)^2+(y-1)^2=9 由于P是该圆的过点(3,3)的弦中点
设圆心为A(1,1),点(3,3)为点B,则AP垂直BP
所以可知ABP三点在以AB为直径的圆上
可得圆心为(2,2) ,半径为根号2
所以动点P的轨迹方程是(x-2)^2+(y-2)^2=2
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