如图
由x=t*e^t得:dx/dt = e^t + t*e^t由e^t +e^y = 2e得:dy/dt = -e^t/e^y = -e^t/(2e-e^t)当t=1时,dx/dt=2e,dy/dt = -1所以,k = dy/dx = (dy/dt)/(dx/dt) = -1/(2e)