解:f×(x,y)=4x,fy(x,y)=6y∴fx(1,1.5)=4,fy(1,1.5)=9;当x=1,y=1.5 时z=2x1^2+3x1.5^2=27/4∴切平面方程为:4(x-1)+9(y-3/2)-(z-27/4)=0即:4x+9y-z=43/4法线方程:(x-1)/4=(y-3/2)/9=(z-27/4)/-1