苏教版必修5“数列”一章复习题中选用了如下一道习题:问题1等差数列{an}中,已知Sp=q,Sq=p(p≠q),求Sp+q.联想到等差数列前n项和Sn是关于n的缺常数项的二次函数形式,经过研究我们得到:性质1已知二次函数f(x)=ax2+bx(a≠0),若f(p)=q,f(q)=p(p≠q),则f(p+q)=-(p+q).进一步地,我们 The Soviet version of the compulsory 5 “series” chapter review questions selected the following one exercise: Problem 1 arithmetic sequence {an}, known Sp = q, Sq = p (p ≠ q), find Sp + q. Lenovo To the equidistant series of n and Sn is the lack of quadratic function of the number of anomalies on the form of n, after research we have: Properties 1 known quadratic function f (x) = ax2 + bx (a ≠ 0), if f f (p + q) = - (p + q). Further, we (p)