f(-x)
=[√(1+x²)-x-1]/[√(1+x²)-x+1]
=[√(1+x²)-x-1][√(1+x²)+x+1]/[√(1+x²)-x+1][√(1+x²)+x+1]
=-2x/[√(1+x²)-x+1][√(1+x²)+x+1]
=-2x[√(1+x²)+x-1]/[√(1+x²)+x-1][√(1+x²)-x+1][√(1+x²)+x+1]
=-2x[√(1+x²)+x-1]/2x[√(1+x²)+x+1]
=-[√(1+x²)+x-1]/[√(1+x²)+x+1]
=-f(x)
函数是奇函数