文[1]提供了一类无理函数的图示解法,使人有新颖、简明之感,但感无规律可寻。本文目的,先给出一个定理,然后用它提供一类非常规函数的值域的一种简捷求法。在以下讨论中,M总表示直角坐标平面上的点集,l总表示直线x+y=c,c总表示l在坐标轴上的截距(此直线在两轴上的截距相等)。 The paper [1] provides a graphical solution to a class of irrational functions, giving people a sense of novelty and conciseness, but no sense of law can be found. For the purpose of this paper, we first give a theorem, and then use it to provide a simple method for the range of a class of unconventional functions. In the following discussion, M always denotes the set of points on the rectangular coordinate plane, l always denotes the straight line x + y = c, c always denotes the intercept of l on the coordinate axis (the intercept of this straight line on both axes is equal).