一元二次方程的整数根问题 ,不仅涉及到二次方程的相关知识 (包括方程的各种解法、判别式定理以及韦达定理等 ) ,同时还与整数、整除等知识密切相关 ,其知识性、综合性和技巧性都很强 .因此 ,这类问题近年来备受竞赛命题者的青睐 ,成为了初中各级数学竞赛的一大热点 .一、基础 The integer root problem of quadratic equations involves not only the relevant knowledge of the quadratic equation (including the various solutions of the equations, the discriminant theorem, the Weddah theorem, etc.), but also the knowledge of integers, integer divisibility, and so on. , comprehensive and skillful are very strong. Therefore, this type of problem has become popular among competition propositions in recent years and has become a hotspot in mathematics competitions at all levels of junior high schools.