隐含条件就是题目中没有明确表达但客观存在,有待深入发掘的条件.下面举例说明一元二次方程中常见的典型隐含条件,希望能够引起同学们高度注意,以防错解的发生.一、隐含二次项系数不为零例1关于x的一元二次方程k2x2-(2k+1)x+1=0有两个实数根,则k的取值范围是____.错解∵方程有两个实数根, Implicit conditions are the conditions of the problem that are not explicitly expressed but objectively exist and need to be further explored. The following exemplifies the typical implicit conditions commonly found in the quadratic equations, hoping to attract the students’ attention and prevent misunderstandings. , Implicit quadratic coefficient is not zero Example 1 The quadratic equation on x k2x2- (2k +1) x +1 = 0 has two real roots, then the range of k is ____. The equation has two real roots,