∵z=xy+2x-y在(1,-1,2)点处的偏导数为 z′ x | (1,-1,2) =1,z′ y | (1,-1,2) =0 ∴曲面z=xy+2x-y在(1,-1,2)点处的切平面为 1•(x-1)+0•(y+1)-1•(z-2)=0 即x-z+1=0