设0则f(x1)-f(x2)=(x1-x2)-(x1-x2)/(x1x2)=(x1-x2)[1-1/(x1x2)]当0则(x1-x2)[1-1/(x1x2)]>0此时f(x1)>f(x2)即x属于(0,1)时,f(x)是减函数当10。且x1-x2<0则(x1-x2)[1-1/(x1x2)]<0此时f(x1)<f(x2)即x属于(1,正无穷大)时,f(x)是增函数