O为坐标原点,点A(1,1),若点P(x,y)满足x^2+y^2-2x-2y+1≥0,1≤x≤2,1≤y≤2,则当x+y取最大值时,点p的坐标是?

问题描述:

O为坐标原点,点A(1,1),若点P(x,y)满足x^2+y^2-2x-2y+1≥0,1≤x≤2,1≤y≤2,则当x+y取最大值时,点p的坐标是?

点P(x,y)满足x^2+y^2-2x-2y+1≥0(x²-2x+1)+(y²-2y+1)-1≥0 ,(x-1)²+(y-1)²≥1说明点P为以(1,1)为圆心,1为半径的圆外的点,包括圆周∵1≤x≤2,1≤y≤2∴x=2,y=2.x+y为最大值x+y=4点p的坐标是...