定义是概括事物本质属性的语句.它既是思维的出发点,又是思维的归宿.利用定义解题往往能收到事半功倍的效果.本文举例说明“回到方程定义”的解题策略的应用,以期帮助同学们拓展思维,提高解题能力. 例 1 已知x2+x-1=0的两根为x1、x2,则(x12+2x1-1)(x22+2x2-1)的值为( ). Definition is a statement that summarizes the nature of things. It is both the starting point of thinking and the destination of thinking. Using the definition to solve problems can often receive a multiplier effect. This paper illustrates the application of the problem solving strategy “back to the equation definition”. Help students expand their thinking and improve their ability to solve problems. Example 1 Knowing that x2+ and -1=0 are x1 and x2, the value of (x12+2x1-1)(x22+2x2-1) is () .