关于一道三元分式不定方程整数解的分析讨论及教学方法

In this paper, an integer solution of a three-component indeterminate equation is analyzed, calculated and discussed by using the method of teaching prompt while analyzing. Firstly, the formula transformation and variable substitution are carried out, and then the variables values are decomposed into four different situations, which analyzed, calculated and discussed respectively, In addition, the differential knowledge of function and computer software are used for calculation and analysis. Finally, the conclusion of no integer solution is drawn and the teaching method is systematically summarized.