y=1/x则,y'=-1/x²所以,y'(1)=-1所以在点(1,1)处的切线为:y-1=(-1)(x-1)=-x+1即:x+y-2=0
y = 1/xy ' = -1/x^2k = -1/1 = -1y-1=-(x-1)x+y-2=0