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一元二次方程解决实际问题,是一元一次方程、二元一次方程组解决实际问题的延续和发展,其本质思路就是先把实际问题抽象为方程模型,求解方程获得对实际问题的正确结果.解题的关键是找出未知量与已知量之间的联系,从而将实际问题转化为方程模型,要善于将普通语言转化为代数式.一元二次方程在几何问题中,要注意题目中的关键词语“和、差、倍、分”以及几何定律中所涉及的数量关系,以及图形的面积公式、周长公式等.本文通过实例进行详解,以期找到解决问题的一般方法.
One dollar quadratic equation to solve practical problems, is a one-time linear equations, binary linear equations to solve the continuation and development of practical problems, the essential idea is to abstract the actual problem as an equation model, solving equations to obtain the correct results of practical problems. The key point of the problem is to find out the relationship between the unknown quantity and the known quantity, so that the actual problem can be transformed into the equation model, and the common language should be transformed into the algebraic one.Unary geometric equation, the unary quadratic equation should pay attention to the key problem Words, “and, poor, times, minutes” and the number of relations involved in the law of geometry, as well as the graphic area formula, perimeter formula, etc. This article through examples to explain in order to find a general solution to the problem.