数学家华罗庚说过:数无形时少直观,形无数时难入微.寥寥几个字,道出了数形结合思想的精髓.构造二元一次方程组除可以解决一些实际问题外,对解决一些几何图形类问题也非常有效.下面让我们先看两道例题.例1用8块相同的长方形地砖拼成一个矩形,地砖的拼放方式及相关数据如图1所示,求每块地砖的长与宽.解:不妨设每块地砖的长为x,宽为y.根 Hua Luogeng mathematician said: the number of intangibles less intuitive, formless countless difficult time .A few words, come up with the essence of the idea of ​​the number of combinations .In addition to the construction of binary linear equations can solve some practical problems, to solve some Geometry class problem is also very effective. Let us look at two examples. Example 1 with 8 rectangular tiles made of a rectangular rectangular, tile placement and related data shown in Figure 1, find the floor of each tile Length and width. Solution: May wish to set the length of each floor tile x, width y