弦AB中点M(x,y)
2x=xA+xB,2y=yA+yB
k(AB)=(yA-yB)/(xA-xB)=2
(x-1)^2+y^2=4
(xA-1)^2+yA^2=4(1)
(xB-1)^2+yB^2=4(2)
(1)-(2):
(xA+xB-2)*(xA-xB)+(yA+yB)*(yA-yB)=0(同除xA-xB)
(xA+xB)+(yA+yB)*(yA-yB)/(xA-xB)=0(带入(yA-yB)/(xA-xB)=2)
2x-2+2y*2=0
弦中点的轨迹方程:x+2y-1=0
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