以矩形地块上修建道路、花园为背景创设一元二次方程问题,在中考中频频亮相,本文以一道考题作为引例从不同的途径加以探究,试图找到解决此类问题的最佳方案,然后借鉴再用于探究较复杂的相关问题.引例(2013年昆明)如图1,在长为100 m,宽为80 m的矩形场地上修建两条宽度相等且互相垂直的道路,剩余部分进行绿化,要使绿化面积为7 644 m~2, This paper tries to find the best solution to this kind of problem by taking a test question as an example to explore the problem of establishing the quadratic equation of the quadratic equation based on the construction of roads and gardens on the rectangular land. (Kunming, 2013) As shown in Figure 1, two identical and perpendicular roads are constructed on a rectangular field of 100 m in length and 80 m in width. The rest of the roads are green, To make the green area of ​​7 644 m ~ 2,