求根与不解而解

来源 :中小学数学(初中版) | 被引量 : 0次 | 上传用户:carlos_yu
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解一元二次方程在初中教材中是个重要的内容,方程的顺利求解以及解法的选择直接影响到后期二次函数内容的理解和运用,也关乎学生今后在高中如何合理的去求解一元二次不等式.在教学中,我们感觉到学生在解方程中,存在着很多问题.较低水平的学生是根本找不到求解的方法,胡编乱造,稀里糊涂的将题目做完:中等水平的学生是方法不当,不能合理迅速的求解:较高水平的学生是方程求解完成了,但是为什么要这样做,说不出来合理的理由.这样的求解也不是我们所希望的.那么到底解一元二次方程中,我们要求学生要达到什么样的效果呢?我想在教学中,不能一味的只 Solution of the quadratic equation in junior high school textbooks is an important part of the equation to solve the smooth solution and the choice of law directly affect the understanding and use of the content of the second quadratic function, but also on how students in high school in the future to solve a unary quadratic inequality In teaching, we feel that there are many problems students solve in the equation, and the lower level students can not find solutions at all. Improper, can not be reasonably quickly solved: Higher level students completed the equation, but why do so, can not tell a reasonable reason. Such a solution is not what we want. So in the end solution to a quadratic equation , What kind of effect do we require the student to achieve? I think in the teaching, can not blindly only
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