过B作BE⊥x轴于E,设A(a,0),D(0,d),B(x,y)则AB/AD=AE/OD=BE/OA则1/2根号3=x-a/d=y/a则x=(1/2根号3)d+a y=(1/2根号3)a 又a^2+d^2=12OB^2=x^2+y^2=1+2ad/2根号3 ≤1+(a^2+d^2)/2根号3 =1+2根号3ob平方的最大值1+2根号3