数学竞赛试题中的杂题 ,是竞赛命题的重点 ,又是参赛学生解题的难点 .由于解决这些问题需要掌握的知识广而深 ,方法多而活 ,技巧强而新 ,从而使其成为培养和提高学生创新能力的好素材 .其中有些数学问题 ,往往需要选择一个量 ,从两个方面去考虑它 ,然后综合起来得到一个关系式 The miscellaneous questions in the math contest questions are the focus of the competition proposition, and it is difficult for participating students to solve the problems. Because the knowledge needed to solve these problems is wide and deep, the methods are numerous and live, and the techniques are strong and new, thus making it become a training. And improve the students’ creative ability of good material. Some of these mathematical problems, often need to select a quantity, consider it from two aspects, and then combine to get a relationship.