解答：∵f(x)是偶函数，∴ f(x)=f(|x|)∵ f(m²-2)>f(m)∴ f(|m²-2|)>f(|m|)∵ f(x)在区间[0,正无穷大)上是单调递减,∴ |m²-2|<|m|两边平方∴ m^4-4m²+4即m^4-5m²+4<0∴ (m²-1)(m²-4)<0∴ 1∴ 1
