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初中数学中非负数的表达式主要有a2、|a|、槡a(a≥0)三种.一般而言,未知数的个数多于方程的个数时,方程的解是不定的,若此方程只有有限组实数解,则它肯定隐含着特殊的数量关系.此类题也许通过配方可化为有限个非负数之和的形式,则和仍然是非负数;也许通过配方化为若干非负数之和为零的形式,则每个加数分别为零,从而可解决问题.下面举几例供同学们参考.
The expression of non-negative numbers in junior high school mathematics mainly includes a2, | a | and 槡 a (a≥0). Generally, when the number of unknowns is more than the number of equations, the solution of the equation is uncertain. If This equation has a finite number of positive real solutions, and it certainly implies a specific quantitative relationship. Such questions may be formulated into a finite number of non-negative sums and remain non-negative; perhaps by formulation into a number of non-negative Negative sum of zero form, then each addend is zero, which can solve the problem. Here are a few examples for the students reference.