设z=x+iyf(z)=e^z=e^(x+iy)=e^x·e^(iy)=e^xcosy+ie^xsinyRe[f(z)]=e^xcosy,Im[f(z)]=e^xsiny令u(x,y)=e^xcosy,v(x,y)=e^xsinydu/dx=e^xcosydu/dy=-e^xsinydv/dx=e^xsinydv/dy=e^xcosy由du/dx=dv/dy得e^xcosy=e^xcos...