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题目:
The function f is defined for each positive three-digit integer n by f(n) =
, where x, y and z are the hundreds, tens, and units digits of n, respectively. If m and v are three-digit positive integers such that f(m) = 9f(v), then m-v = ?
选项:
A、8
B、9
C、18
D、20
E、80
答案:
D
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f(n)=2^x.3^y.5^z,x,y,z是n的百、十、个位。如果m和v也是都是三位数,如果f(m)=9f(v),then m-v 是多少? 10位可以是: 9,7,1 个位可以是5 百位是: 4,6,8,2 十位与个位想减可得20,80,70.... 但,不知怎么利用f(m)=9f(v)这个条件来得出20
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