在初中数学中,我们常遇到关于方程有三个实数根的问题,尤其是绝对值方程的“三根问题”较多.解决这类问题常用两招:一是运用数形结合思想,构造函数,画图求解;二是运用转化思想,把问题转化为一元二次方程的根的判别式求解.一、图象法例1关于x的方程x~2-|x|+a=0有三个不同的实数根,求实数a的值.分析方程x~2-|x|+a=0有三个不同 In junior high school mathematics, we often encounter the problem that the equation has three real roots, especially the absolute value equation “Three problems ” .To solve these problems commonly used two strokes: First, the use of numerical combination of thought, structure Function, drawing to solve; the second is the use of conversion ideas, the problem is converted to a quadratic equation root discriminant solution. First, the image of the law on the equation x x ~ 2- | x | + a = 0 There are three different The real number of roots, find the value of the real a. Analysis of the equation x ~ 2- | x | + a = 0 There are three different