解x=1+2t-t^2y=2t^2则dy/dx=(dy/dt)/(dx/dt)=4t/(2-2t)在点(1,8)处,即 1=1+2t-t^2 且 8=2t^2 解得t=2原函数的斜率k=4*2/(2-2*2)=-4切线方程: y-8=-4(x-1)法线方程: y-8=1/4(x-1)觉得不错请采纳,谢谢