解：（1+1/x²-1）÷（x－x/x+1）=（x²-1+1）/(x+1)(x-1)÷（x²+x-x)/(x+1）=x²/(x+1)(x-1)×(x+1)/x²=1/(x-1)将x=√2＋1代入得原式=1/√2=√2/2 愿对你有所帮助！
