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初中生由于认知水平和心理特征等因素的影响,在解题时往往只注意明显条件而忽视隐含条件,这就需要教师在教学中进行严格训练,引导学生正确分析题意,设法挖掘问题中的隐含条件,提高解题能力。 例1 已知一元二次方程(k-2)x~2-2kx-k~2+4=0的常数项为零,求k的值。 分析:此题中求k的值并不难,但求出k值后,必须考虑题目中的隐含条件:二次项系数k
Because of the influence of factors such as cognitive level and psychological characteristics, junior high school students often pay attention to obvious conditions while ignoring implied conditions. This requires teachers to conduct rigorous training in teaching, guide students to correctly analyze their meanings, and try to find out problems. Implicit conditions in the book increase the ability to solve problems. Example 1 It is known that the constant term of the unary quadratic equation (k-2)x~2-2kx-k~2+4=0 is zero, and the value of k is found. Analysis: It is not difficult to find the value of k in this question, but after finding the value of k, we must consider the implicit conditions in the title: the quadratic coefficient k