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1.巧用圆心例1若P(3,1)为圆(x-1)~2+y~2=25的弦AB的中点,求直线AB的方程.分析已知圆心C和弦的中点P,可利用垂直关系和PC所在直线的斜率,求得弦所在直线的斜率.解已知圆(x-1)~2+y~2=25的圆心
1. Using center of circle Example 1 Find the equation of line AB if P (3,1) is the midpoint of chord AB from (x-1) to 2 + y to 2 = 25. Analyze the center Point P, the slope of the straight line where the chord is located can be obtained by using the vertical relationship and the slope of the line where the PC is located. Solve the center of the circle (x-1) ~ 2 + y ~ 2 = 25