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在小学数学课外活动和数学竞赛中,有些数学题可利用不定方程求解。由于求解的过程是一种顺向思维,因而易于理解和掌握。解答时主要根据整数的基础知识,紧扣方程的特点,从逻辑推理的角度去分析。具体可从如下几个方面去思考。一、进行枚举筛选例1.一只蟋蟀6只脚,一只蜘蛛8只脚。在一个盒子装有若干只蟋蟀和蜘蛛,共有46只脚,求盒内蟋蟀和蜘蛛各有几只?分析与解:设有蟋蟀x只,蜘蛛y只。依题意有6x+8y=46,即3x+4y=23,于是x=1/3(23-
In elementary mathematics extracurricular activities and math competitions, some math problems can be solved using the indefinite equation. Since the solution process is a forward thinking, it is easy to understand and master. Answer mainly based on the basic knowledge of integers, closely linked to the characteristics of the equation, from the perspective of logical reasoning to analyze. Specific from the following aspects to think about. First, enumeration screening example 1 a cricket 6 feet, a spider 8 feet. In a box containing a number of crickets and spiders, a total of 46 feet, box crickets and spiders each have a few? Analysis and reconciliation: with crickets x only, spider y only. According to the idea of 6x + 8y = 46, that is 3x + 4y = 23, then x = 1/3 (23-