設(shè)定義在【-2,2】的偶函數(shù)f(x)在區(qū)間【0,2】上單調(diào)遞減,若f(1-m)小于f(m),求實(shí)數(shù)m的取值范圍.
設(shè)定義在【-2,2】的偶函數(shù)f(x)在區(qū)間【0,2】上單調(diào)遞減,若f(1-m)小于f(m),求實(shí)數(shù)m的取值范圍.
優(yōu)質(zhì)解答
偶函數(shù)f(x)在區(qū)間【0,2】上單調(diào)遞減,則f(x)在[-2,0]上單調(diào)遞增.函數(shù)關(guān)于y軸對(duì)稱,開口向下,在x=0時(shí)取得最大值.
(1)當(dāng)-2=<1-m1/2,與m<0矛盾;
(2)當(dāng)0=(3)當(dāng)-2=綜述,實(shí)數(shù)m的取值范圍:-1=