∵y=f(x+8)為偶函數(shù),
∴f(x+8)=f(-x+8),即y=f(x)關于直線x=8對稱.
又∵f(x)在(8,+∞)上為減函數(shù),
∴f(x)在(-∞,8)上為增函數(shù).
由f(8+2)=f(8-2),即f(10)=f(6),
又由6<7<8,則有f(6)<f(7),即f(7)>f(10).
故選D.
已知定義域為R的函數(shù)f(x)在(8,+∞)上為減函數(shù),且函數(shù)y=f(x+8)函數(shù)為偶函數(shù),則( ) A.f(6)>f(7) B.f(6)>f(9) C.f(7)>f(9) D.f(7)>f(10)
已知定義域為R的函數(shù)f(x)在(8,+∞)上為減函數(shù),且函數(shù)y=f(x+8)函數(shù)為偶函數(shù),則( ?。?br/>A. f(6)>f(7)
B. f(6)>f(9)
C. f(7)>f(9)
D. f(7)>f(10)
B. f(6)>f(9)
C. f(7)>f(9)
D. f(7)>f(10)
數(shù)學人氣:187 ℃時間:2019-08-20 22:42:31
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