對有理數(shù)x,y定義運(yùn)算*,使x*y=axy+b+1,若1*2=869,2*3=883,則2*9的值為( ?。?A.1888 B.1889 C.1890 D.1891
對有理數(shù)x,y定義運(yùn)算*,使x*y=axy+b+1,若1*2=869,2*3=883,則2*9的值為( ?。?br/>A. 1888
B. 1889
C. 1890
D. 1891
優(yōu)質(zhì)解答
由題意得:
,
解得:
.
故此新運(yùn)算為x*y=2x
y+867.
∴2*9=2×2
9+867=1891.
故選D.
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