实系数一元三次方程的韦达定理及其应用能很好地考查学生思维的灵活性以及代数变形能力,在高校自主招生和数学竞赛中颇受青睐,下面结合具体实例分类赏析.实系数一元三次方程的韦达定理为:如果一元三次多项式a_3x~3+a_2x~2+a_1x+a_0=0(a_3≠0)的根是x_1,x_2,x_3,那么有 The Veda Theorem and Its Application to the Real Coefficients Unary Cubic Equations Examine the Flexibility of Students’ Thinking and the Algebraic Deformation Ability, Which Are Popular in College Enrollment and Mathematical Competitions, with the Appreciation of Concrete Examples The Vedic theorem of the equation is: If the roots of a unary cubic polynomial a_3x ~ 3 + a_2x ~ 2 + a_1x + a_0 = 0 (a_3 ≠ 0) are x_1, x_2, x_3 then