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随着课程改革的深入实施,以考查学生数学应用意识和应用能力为目的,与生活息息相关韵试题越来越受到命题者的青睐。本文从2004年课改实验区的中"考试卷中撷取一类与抛物线有关的具有现实背景的试题,加以解析,供参考。例1(2004年广西南宁市课改实验区)目前国内最大跨径的钢管混凝土拱桥--永和大桥,是南宁市又一标志性建筑,其拱形图形为抛物线的一部分(如图1),在正常情况下,位于水面上的桥拱跨度为350米,拱高为85米。
With the deep implementation of the curriculum reform, with the purpose of examining students’ awareness of the application of mathematics and their application ability, rhyme test questions that are closely related to their lives are increasingly favored by propositioners. In this paper, a class of questions related to the parabola with realistic backgrounds was taken from the middle “Examination Paper” in the experimental area of the curriculum reform in 2004, and analyzed and provided for reference.Example 1 (2004 Nanning Experimental Experimental Area in Nanning) The largest span steel-pipe concrete arch bridge, the Yonghe Bridge, is another landmark of Nanning. Its arch is a part of the parabola (Figure 1). Under normal circumstances, the arch bridge spanning 350 meters is located on the water. The arch height is 85 meters.