有过程必采纳,最好详细点,拜托啦
2014-07-27
展开全部
.奇函数f(X)的定义域为[-2,2],且在 区间[-2,0]内递减,则有在[0,2]内也是单调减的.
即有f(1-m)<-f(1-m^2)
即有f(1-m)<f(m^2-1)
即有m^2-1<1-m, m^2+m-2<0
(m+2)(m-1)<0
-2<m<1
又有-2<=1-m<=2, -2<=1-m^2<=2
解得-1<=m<=3, -根号3<=m<=根号3
综上的范围是:-1<=m<1
即有f(1-m)<-f(1-m^2)
即有f(1-m)<f(m^2-1)
即有m^2-1<1-m, m^2+m-2<0
(m+2)(m-1)<0
-2<m<1
又有-2<=1-m<=2, -2<=1-m^2<=2
解得-1<=m<=3, -根号3<=m<=根号3
综上的范围是:-1<=m<1
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