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数形结合是数学解题中常用的思想方法,数形结合的思想可以使某些抽象的数学问题直观化、生动化,能够变抽象思维为形象思维,有助于把握数学问题的本质.另外,由于使用了数形结合的方法,很多问题便迎刃而解,且解法简捷.本文试从最值问题,举例说明“以形助数”在解决问题中的一些应用.一、线性规划问题求目标函数在线性约束条件下的最大值或最小值问题通常称为线性规划问题,而解决这类问题常用方法就是图解法.
The combination of numbers and shapes is a commonly used method of thinking in mathematics problem solving. The combination of number and shape can make some abstract mathematic problems visual and vivid. It can change abstract thinking into image thinking and help to grasp the essence of mathematics problems. Due to the use of the method of combination of number and shape, many problems are easily solved, and the solution is simple. This paper tries to illustrate the application of “help number” in the problem solving. First, the problem of linear programming The problem of the maximum or minimum value of the objective function under the linear constraints is usually called the linear programming problem, and the commonly used method to solve such problems is the graphical method.