函數(shù)f(x)在(-1,1)上是奇函數(shù),且在(-1,1)上是減函數(shù),若f(1-m)+f(-m)<0,則m的取值范
函數(shù)f(x)在(-1,1)上是奇函數(shù),且在(-1,1)上是減函數(shù),若f(1-m)+f(-m)<0,則m的取值范
優(yōu)質(zhì)解答
函數(shù)的定義是(-1,1)則
-1<1-m<1
-1<-m<1
解得0有函數(shù)f(x)是奇函數(shù)則f(x)=-f(-x)
f(1-m)+f(-m)<0
f(1-m)<-f(-m)
f(1-m)函數(shù)為減函數(shù)則
1-m>m
解得m<1/2
取交集m的取值范圍為0