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核心知识梳理1.一元二次方程的一般形式:ax~2+bx+c=0(a、b、c是常数,a≠0).2.一元二次方程的解法:(1)直接开平方法;(2)配方法;(3)公式法;(4)因式分解法.一元二次方程的求根公式是x=(?)(b~2-4ac≥0).3.ax~2+bx+c=a(x-x_1)(x-x_2).其中x_1,x_2是关于x的方程ax~2+bx+c=0(a≠0)的两个实数根.4.一元二次方程ax~2+bx+c=0(a≠0)的根的判别式为△=b~2-4ac.当△>0时,方程有两个不相等的实数根.当△=0时,方程有两个相等的实数根.
The core knowledge combing 1. The general form of a quadratic equation: ax ~ 2 + bx + c = 0 (a, b, c is a constant, a ≠ 0) .2 unary quadratic equation solution: (1) (2) Method of formulation; (3) Formula method; (4) Factorization method The formula of the root of quadratic equation is x = (?) (B ~ 2-4ac≥0) 2 + bx + c = a (x-x_1) (x-x_2) where x_1 and x_2 are two real roots of the equation ax ~ 2 + bx + c = 0 (a ≠ 0) The discriminant of the roots of quadratic equation ax ~ 2 + bx + c = 0 (a ≠ 0) is △ = b ~ 2-4ac. When △> 0, the equation has two real roots that are not equal. 0, the equation has two equal real roots.