去分母后整理得2yx^2+(3y-1)x+6y-2因为x为实数∴△≥0∴(3y-1)^2-4×2y×(6y-2)≥0即39y^2-10y-1≤0(13y+1)(3y-1)≤0①13y+1≤0,3y-1≥0解得y≤-1/13,y≥1/3无解②13y+1≥0,3y-1≤0解得y≥-1/13,y≤1/3∴-1/13≤y≤1/3∴最大值为1/3,最小值为-1/13
