設(shè)f(x)=x^a,g(x)=x^b
f(根號2)=(根號2)^a=2^(a/2)=2,a=2
g(2)=2^b=1/2,b=-1
即f(x)=x^2,g(x)=x^（-1）=1/x
根據(jù)題目提示可以得到冪函數(shù)f（x）和g(x)的圖像(自己畫圖）.因?yàn)閮绾瘮?shù)f(x)過點(diǎn)(根號2,2)和點(diǎn)(1,1),而冪函數(shù)g(x)過點(diǎn)(2,1\2)和點(diǎn)(1,1),冪函數(shù)f(x)在（—∝,0）上是減函數(shù),冪函數(shù)f(x)在（0,∞）上是增函數(shù)
冪函數(shù)g(x)在其定義域上是減函數(shù)；并且相交于(1,1),則有f（1）=g（1）.
所以有當(dāng)當(dāng)x1時,f(x)>g(x) 即當(dāng)x∈（—∝,0）∪(1,∞)時f(x)>g(x)
當(dāng)x=1時,f(x)=g(x)
當(dāng)0