If abc ≠ 0, is ~$\frac{\frac{a}{b}}{c}=\frac{a}{\frac{b}{c}}$~?

(1) a = 1

(2) c = 1


Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.

考题讲解

题目分析:

将题目的分式变形得到~$\frac{a}{b}*\frac{b}{c}=ac$~,即~$\frac{a}{c}=ac$~,又因为abc ≠ 0,所以a、b、c中任何一个数均不为0。所以题目判断是否有~$\frac{1}{c}=c$~,即~$c^2=1$~

(1)    条件1仅有a的值,无法得到判断题目。

(2)  条件2中c=1,满足~$c^2=1$~,能够进行判断。

因此,本题答案为(B),仅条件2可以解题,条件1不行。

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