有关方程整数根的问题,近几年中考、竞赛题中时常出现,由于解这类问题思路多样,解法灵活,且有一定的策略和技巧,故学生对此类题目普遍感到困难,有无从下手之感。下面通过对一组中考、竞赛题的解答来说明解这类问题的思路与方法。供教与学参考。 The question of the integer roots of the equations has often appeared in the examinations and competition questions in recent years. Due to the diversity of solutions to these problems, the flexible solution methods, and the certain strategies and techniques, students are generally puzzled about such topics and whether they can start from scratch. The feeling. In the following, through the answers to a group of high school entrance exams and competition questions, the ideas and methods for solving such problems are explained. For teaching and learning reference.