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一元二次方程问题是初中数学的重点内容,因此,同学们除要牢固掌握这一章节的基础知识,基本技能和基本思想方法外,还要能正确、熟练地运用知识解决相关的各类问题.在实际解题的过程中,不少同学由于概念不清,理解不透,思考不周密,往往易忽视隐含条件而陷入误区,本文就解题中常见的误区举例分析如下:一、忽视一元二次方程定义中的条件致错例1关于x的方程mx~2-5x=2x~2-mx+3是一元二次方程的条件是什么?错解关于x的方程mx~2-5x=2x~2-mx+3是一元二次方程的条件是m≠0.
The problem of one quadratic equation is the key content of junior high school mathematics. Therefore, in addition to gaining a firm grasp of the basic knowledge, basic skills and basic thinking of this chapter, students should also be able to correctly and skillfully use knowledge to solve all kinds of related problems Problem. In the process of solving problems, many students due to unclear concepts, imperfect understanding, thinking is not thoughtful, often easy to overlook the implicit conditions and into misunderstanding, this article on the common mistakes in problem-solving examples are as follows: First, Ignoring the conditions in the definition of a quadratic equation Cause Error Example 1 Equation for x mx ~ 2-5x = 2x ~ 2-mx + 3 What is the condition for a quadratic equation? The solution to the equation for x mx ~ 2- 5x = 2x ~ 2-mx + 3 is a quadratic quadratic equation with m ≠ 0.