y=x+1的斜率=1,所以AC的斜率=-1,即(y1-y2)/(x1-x2)=-1
设A(x1,y1),B(x2,y2),则中点为((x1+x2)/2,(y1+y2)/2)
(y1+y2)/2=(x1+x2)/2+1 (1)
(x1^2)/4+(3y1^2)/4=1
(x2^2)/4+(3y2^2)/4=1
(x1^2-x2^2)+3((y1^2-y2^2)=0
(x1+x2)(x1-x2)+3(y1+y2)(y1-y2)=0
(x1+x2)/2-3(y1+y2)/2=0
又根据(1),(x1+x2)/2-(y1+y2)/2=-1
求出:(x1+x2)/2=-3/2,(y1+y2)/2=-1/2
AC的方程:(y+1/2)/(x+3/2)=-1
y=-x-2