问题 填空题 曲线y=1x在点(1,1)处的切线方程是______. 答案 由题意得,y′=-1x2,∴在点(1,1)处的切线斜率k=-1,则在点(1,1)处的切线方程是:y-1=-(x-1),即x+y-2=0.故答案为:x+y-2=0.