纵观近年全国各地数学竞赛和中考试题，有关含字母系数的一元二次方程整数根问题频频出现．因这类问题涉及的知识面广，且其解法灵活多样，技巧性强，学生求解起来普遍感到困难，考试时经常弃而不答，令人惋惜。下面精选出四道典型例题并予以深刻剖析，旨在帮助同学们探索解题? Looking at the mathematics competitions and middle school examination questions in various parts of the country in recent years, the question of the integer roots of the one-dimensional quadratic equation containing the letter coefficient has frequently appeared. Because these kinds of problems involve a wide range of knowledge, and their solutions are flexible and diverse, and they are very skillful. Students find it difficult to solve them. Often, they do not answer the exams, which is a pity. The following featured four typical examples and a deep analysis to help students explore the solution?