ax^2-|x|+2a<0ax^2±x+2a<0解集为空集a>0Δ<=0(±1)^2-4a(2a)<=01-8a^2<=08a^2>=1a^2>=1/8∵a>0∴a>=1/√8a>=√2/4a的取值范围:[√2/4,+∞)