AMC 8 1998 Problem 1

AMC8 1998 年第 1 题

比与比例★☆☆☆☆
For x=7 , which of the following is the smallest?
当 x=7 时,下列哪个最小?
  1. A.6x\dfrac{6}{x}
  2. B.6x+1\dfrac{6}{x+1}
  3. C.6x−1\dfrac{6}{x-1}
  4. D.x6\dfrac{x}{6}
  5. E.x+16\dfrac{x+1}{6}

正确答案 · Correct Answer

B

解析 · Solution

Solution 1

Plugging xx in for every answer choice would give
(A) 67(B) 68(C) 66(D) 76(E) 86\text{(A)}\ \dfrac{6}{7} \qquad \text{(B)}\ \dfrac{6}{8} \qquad \text{(C)}\ \dfrac{6}{6} \qquad \text{(D)}\ \dfrac{7}{6} \qquad \text{(E)}\ \dfrac{8}{6}
From here, we can see that the smallest is answer choice BB

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