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数形结合是一种重要的数学思想方法,它使代数与几何有机地结合起来,实现了用代数研究几何与用几何研究代数方程的目的.高考试卷中有很多题目体现了对数形结合这一思想方法的考查.应用该思想方法可以大大简化运算过程,也可指引解题方向,而且高考试题中还有一大部分题目是直接考查数形结合这一思想方法的.本文就以近几年的高考试题和经典试题为例,探求数形结合的巧妙之处.
The combination of number and shape is an important method of mathematics. It combines algebra and geometry organically, and achieves the purpose of studying geometry with algebra and studying algebraic equations with geometry. Many questions in the high test paper reflect the combination of logarithmic forms. A thought method examination. Application of this method of thinking can greatly simplify the calculation process, but also can guide the direction of the problem, and a large part of the title of the high test questions is to directly examine the combination of number and shape of this idea. This article has been in recent years Take exam questions and classic questions as an example to explore the ingenuity of the combination of numbers.