借助数与形的相互转化来研究和解决问题的数学思想叫做“数形结合思想”.著名数学家华罗庚曾有过精辟的论述:“数缺形时少直观,形缺数时难入微.”下面举两例说明数形结合在解题中的应用.一、利用数量关系来研究图形性质例1用8块相同的长方形地砖拼成一个矩形,地砖的拼放方式及 The mathematics thought of researching and solving problems through the transformation of numbers and shapes is called “the idea of ​​combination of numbers and shapes.” The famous mathematician Hua Luogeng had a brilliant exposition: “When there are few shapes, it is less intuitive, and when the shapes are missing, it is difficult to understand.” Two examples are given below to illustrate the application of the combination of number and shape in solving a problem. First, the use of quantitative relations to study the nature of graphics. Example 1 Using 8 identical rectangular floor tiles to spell a rectangle, floor tiles and the way to put