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20 15 Hongkou Mathematical Model, Grade Two, Grade Three
Vector a = (1, (x-2) 5), vector b=( 1, y-2x), and satisfies the vector a∑b,

∴(x-2)^5=y-2x,y=f(x)=(x-2)^5+2x,

G (x) = f (x+2)-4 = x 5+2x, odd function, increasing function,

f(a 1)+f(a2)+...+f(a9)=36,

∴g(a 1-2)+g(a2-2)+……+g(a9-2)=0,

Sequence {an} is an arithmetic series with tolerance not equal to 0.

∴g(a5-2)=0,a5-2=0,a5=2,

∴ A 1+A2+...+A9 = 9A5 = 18。 Choose C.