一元二次方程的韦达定理在解题中有很重要的应用,近几年,高次方程的韦达定理也越来越受到命题者的关注,笔者特别整理出有关这方面的试题供大家参考.韦达定理如果x_1,x_2,x_3,…,x_n(其中整数n≥2)是关于x的n次方程a_nx~n+a_(n-1)x~(n-1)+…+a_1x+a_0=0(其中a_n≠0)的n个根,则x_1+x_2+x_3+…+x_(n-1)+x_n=-a_(n-1)/a_n, In the recent years, the Vedic theorem of higher order equations has also been paid more and more attention by the author of the thesis. The author specially sorted out the questions in this area for everyone Reference Vedi’s Theorem If x_1, x_2, x_3, ..., x_n (where integer n≥2) is the n-th order equation for a with respect to x a_nx ~ n + a_ (n-1) x ~ (n-1) + ... + a_1x + n - 1 (n - 1) / a - n for a + n = 0 with a_n ≠ 0, then x_1 + x_2 + x_3 + ... +