美国数学协会编辑出版的《数学地平线》,是一本赫赫有名的季刊.受到很多数学爱好者的追捧.《数学地平线》2010年4月号中的第33页上有这么一道有趣的题目:分别求出下面两个分式方程的整数解:(1)(9(8-x))/((9-8)x)+(8-x)/(9-8)+(11-x)/(x-1)=x;(2)x=(1-x)/(x-11)+(8-6)/(x-8)+(x(8-6)/((x-8)6).在继续阅读前,同学们不妨先试着做一做这道题其实,这两个问题都不是很复杂.让我们先来看一下如何求出第一个分式方程的整数解.首先.分式 The Mathematical Horizons, edited and published by the American Mathematical Association, is a well-known quarterly magazine. It is highly sought after by many math enthusiasts. There is such an interesting topic on the 33rd page of the April 2010 Mathematical Horizons: Find the integer solutions for the following two fractional equations: (1) (9(8-x))/((9-8)x)+(8-x)/(9-8)+(11-x) /(x-1)=x;(2)x=(1-x)/(x-11)+(8-6)/(x-8)+(x(8-6)/((x- 8) 6). Before continuing reading, students may try to do this first. Actually, these two questions are not very complicated. Let us first look at how to find the integer of the first fractional equation. Solution. First. Fractional