设AB:y=-x+b
联立椭圆方程可得(5/16)x^2-(b/2)x+b^2/4-1=0
xA+xB=(8/5)b,yA+yB=-(xA+xB)+2b=(2/5)b
AB中点 ( (xA+xB)/2 , (yA+yB)/2 )=( (4/5)b , (1/5)b )
代入直线2x-3y-3=0可得b=5/2
AB中点( 2 , 1/2 )
设AB:y=-x+b
联立椭圆方程可得(5/16)x^2-(b/2)x+b^2/4-1=0
xA+xB=(8/5)b,yA+yB=-(xA+xB)+2b=(2/5)b
AB中点 ( (xA+xB)/2 , (yA+yB)/2 )=( (4/5)b , (1/5)b )
代入直线2x-3y-3=0可得b=5/2
AB中点( 2 , 1/2 )