已知函數(shù)f(x)=x3,x≥12x?x2,x<1,若不等式f(m+1)≥f(tm-1)對(duì)任意m∈[-1,1]恒成立,則實(shí)數(shù)t的取值范圍是( ) A.[-1,1]∪(1,3] B.[-1,3] C.[1,3] D.(-∞,-1]∪[3,+∞
已知函數(shù)f(x)=
,若不等式f(m+1)≥f(tm-1)對(duì)任意m∈[-1,1]恒成立,則實(shí)數(shù)t的取值范圍是( ?。?br/>A. [-1,1]∪(1,3]
B. [-1,3]
C. [1,3]
D. (-∞,-1]∪[3,+∞)
|
B. [-1,3]
C. [1,3]
D. (-∞,-1]∪[3,+∞)
數(shù)學(xué)人氣:835 ℃時(shí)間:2020-06-08 00:47:36
優(yōu)質(zhì)解答
函數(shù)f(x)=x3,x≥12x?x2,x<1在R上單調(diào)遞增,∵不等式f(m+1)≥f(tm-1)對(duì)任意實(shí)數(shù)m∈[-1,1]恒成立,∴不等式m-tm+2≥0對(duì)任意實(shí)數(shù)m∈[-1,1]恒成立,∴令g(m)=(1-t)m+2,則g(-1)≥0且g(1)≥0,即有t-...
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