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二次函数y=ax~2+bx+c的图象以及它的特点(开口方向、对称轴线、顶点位置),初二、初三的同学都是十分熟悉的。但广泛地用它来解有关问题,就不能单靠熟记、背诵,还需要具有对题目深入分析的能力和形象思维的配合。作为教师应该有意识地在教学中去增强这方面的训练。为此,留心数学竞赛和各类考试,将一些有关二次方程的试题,尝试用图象去形象地探索解题的思路,甚至用图象的特点给出直观的解法,既丰富
The image of the quadratic function y=ax~2+bx+c and its characteristics (opening direction, axis of symmetry, vertex position) are familiar to the students of the 2nd and 3rd grades. However, when it is widely used to solve problems, it cannot be memorized and memorized alone. It also needs the ability to have in-depth analysis of topics and the ability to think in terms of image. As teachers should consciously enhance this training in teaching. To this end, pay attention to mathematical competitions and examinations of various types, try some questions on quadratic equations, try to use images to visually explore ideas for solving problems, and even use visual features to give intuitive solutions that are rich.