本文通过对“倒数型”分式方程x+1x=a+1a(a≠0)的解法探究,得出此类倒数型分式方程的一种简洁解法.形如x+1x=a+1a(a≠0)的分式方程称为“倒数型”分式方程.读者很容易证明此方程的两个解为x1=a,x2=1.将此结论运用到解这类“倒数型”分式方程 In this paper, a simple solution of such reciprocal type fractional equation is obtained through the solution to the solution of “reciprocal ” fractional equation x + 1x = a + 1a (a ≠ 0) The division equation of + 1a (a ≠ 0) is called the “reciprocal type” fractional equation. The reader can easily prove that the two solutions of this equation are x1 = a and x2 = 1. Apply this conclusion to solve this type “Countdown ” fractional equation