设:切点是(m,√m),则切线斜率k=1/(2√m),又:切线斜率k=[√m-1]/(m-1),则:1/(2√m)=[√m-1]/(m-1)m-1=2m-2√mm-2√m+1=0得:(√m-1)²=0m=1即切点是(1,1),切线斜率k=1/2则切线方程是:x-2y+1=0
y'=1/(2√x)x=1,y'=1/2切线方程为y-1=1/2(x-1)