由f(x)滿足對(duì)任意t∈R,總有f(1+t)=-f(1-t),
所以函數(shù)y=f(x)的圖象關(guān)于點(diǎn)(1,0)中心對(duì)稱.
則f(x+1)關(guān)于原點(diǎn)中心對(duì)稱,即g(x)=f(x+1)=(x+1+a)3的圖象關(guān)于原點(diǎn)中心對(duì)稱.
所以函數(shù)g(x)=(x+1+a)3為奇函數(shù).
所以g(0)=(a+1)3=0.
則a=-1.
所以f(x)=(x-1)3.
則f(2)+f(-2)=(2-1)3+(-2-1)3=-26.
故選C.
函數(shù)f(x)=(x+a)3,對(duì)任意t∈R,總有f(1+t)=-f(1-t),則f(2)+f(-2)=( ) A.0 B.2 C.-26 D.28
函數(shù)f(x)=(x+a)3,對(duì)任意t∈R,總有f(1+t)=-f(1-t),則f(2)+f(-2)=( ?。?br/>A. 0
B. 2
C. -26
D. 28
B. 2
C. -26
D. 28
數(shù)學(xué)人氣:803 ℃時(shí)間:2020-01-31 19:19:49
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