設(shè)定義域在[-2.2]上的偶函數(shù)f(x)在區(qū)間[0.2]上是減函數(shù),若f(1+m)
設(shè)定義域在[-2.2]上的偶函數(shù)f(x)在區(qū)間[0.2]上是減函數(shù),若f(1+m)
優(yōu)質(zhì)解答
答:
f(x)定義在[-2,2]上偶函數(shù),f(-x)=f(x)
在[0,2]上是減函數(shù)
在[-2,0]上是增函數(shù)
f(1+m)則:
|m|<|1+m|<=2
兩邊平方得:
m^2解得:m>-1/2并且m^2+2m-3<=0
所以:
m>-1/2
(m+3)(m-1)<=0,-3<=m<=1
所以:-1/2