1,猜抛物线y=-x^2+(5√3/3)x+2与x轴交于点C(-√3/3,0),A(2√3,0),与y轴交于B(0,2).2,AB:y=-(√3/3)x+2.3,OD=OA=2√3,角AOD=60°,∴D(√3,3),反比例函数y=k/x图像经过点D,∴k=3√3.