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许多初三学生在做与二次方程有关的题目时,往往对题中的隐含条件重视不够,造成解题的错误,本人拟通过对几个例题错解的剖析,以引起对题中隐含条件的重视,避免下次犯同样的错误.一、隐含二次方程二次项系数非零的条件例1已知关于x的方程(a-2)x~2-(2a-1)x+a=0有两个不相等的实根,求实数a的取值范围.
When many junior high school students are doing problems related to quadratic equations, they often pay less attention to the implicit conditions in the questions and cause problems in solving problems. I intend to use the analysis of several examples of misunderstandings to cause confusion in the questions. Inclusion of conditions to avoid the same mistakes for the next time. I. Implicit quadratic equation Condition where the quadratic term coefficient is nonzero Example 1 Known equation about x (a-2) x~2-(2a-1) There are two unequal real roots for x+a=0. Find the range of real numbers a.