x^2+ax+1≥0对于一切x属于(0,1/2】ax≥-(1+x^2)a≥-(x+1/x)对于一切x属于(0,1/2】x属于(0,1/2】时,-(x+1/x)=最大值为-2 , 注意(x+1/x)=(根号x-1/根号x)^2+2, 最小为2,所以a≥-2