数形结合思想,是指将数(量)与(图)形结合起来分析、解决问题的一种思想方法.它是数学中最常用的思想方法之一.我国已故著名数学家华罗庚曾说过:“数缺形时少直观,形缺数时难入微.”这充分说明了数形结合思想的巨大潜力.利用数形结合,可以使问题化难为易、化繁为简.现举例说明数形结合思想在解题中的应用. It is one of the most commonly used method of thinking in mathematics to combine the number (quantity) with (figure) form to analyze and solve the problem.Hua Luogeng, the late famous mathematician in our country, once said The number of lack of shape when less intuitive, when the number of missing form is difficult to micro. "This fully demonstrates the great potential of digital combination of ideas. The use of digital combination, can make the problem difficult for the easy to simplify. An example is given to illustrate the application of the idea of ​​number combining in solving problems.