经过坐标原点直线l与椭圆(x-3)^2/6+y^2/2=1相交于A,B两点,若以AB为直径的圆恰好通过椭圆左焦点F.

x²/6 + y²/2 = 1:c = √(a² - b²) = √(6-2) = 2F(-2,0)(x-3)²/6 + y²/2 = 1是由x²/6 + y²/2 = 1向右平移3个单位而得,F(1,0)设l的斜率为k,方程为y = kx代入(x-3)²/6 +...