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数形结合是中学数学中重要的思想方法之一.通过“以形助数”或“以数解形”使复杂问题简单化,抽象问题具体化,很多问题使用数形结合方法能迎刃而解,避免了复杂的计算,而且解法简捷.本文以2016年高考全国课标卷的几道试题为例,运用数形结合思想进行解析,以供参考.例1已知函数f(x)=(x-2)e~x+a(x-1)~2有两个零点.(1)求a的取值范围;
The combination of number and shape is one of the important ways of thinking in middle school mathematics, which simplifies the complex problem and concretely abstract the abstract by “using the help form ” or " Can be easily solved, to avoid the complex calculations, and the solution is simple and convenient .This paper took the 2016 national college entrance examination marking a few test questions as an example, the use of shape combining ideological analysis for reference .Example 1 Known function f (x) = (x-2) e ~ x + a (x-1) ~ 2 has two zeros. (1) Find the range of a;