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HMMT 二月 2007 · GEN2 赛 · 第 9 题

HMMT February 2007 — GEN2 Round — Problem 9

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. [ 6 ] Let A := Q \ { 0 , 1 } denote the set of all rationals other than 0 and 1. A function f : A → R has the property that for all x ∈ A , ( ) 1 f ( x ) + f 1 − = log | x | . x Compute the value of f (2007).
解析
  1. [ 6 ] Let A := Q \ { 0 , 1 } denote the set of all rationals other than 0 and 1. A function f : A → R has the property that for all x ∈ A , ( ) 1 f ( x ) + f 1 − = log | x | . x Compute the value of f (2007). Answer: log ( 2007 / 2006 ) . Same as Algebra #8.