全日制中学数学课本(简称统编教材)初中代数第三册117面第三题,解关于x的方程:X+1/X=C+1/C,我们很容易求得其解为:X_1=C,X_2=1/C。显然,这是一个特殊的分式方程。通过观察分析这类方程有这样的特点:方程等号两边的两项互为倒数关系;其解恰好是方程右边两个互为倒数的常数。在教材中常有这类题出 Full-time middle school mathematics textbooks (referred to as textbooks) junior high school algebra third volumes 117 face third questions, solve the equation about x: X+1/X=C+1/C, we can easily find the solution: X_1 =C, X_2=1/C. Obviously, this is a special fractional equation. Observing and analyzing these equations has the following characteristics: The two terms on both sides of the equation equal sign are reciprocal relations; the solution is exactly the two constants on the right side of the equation that are mutually reciprocal. There are often such questions in the textbook