尽管在一元二次方程中,学生学过根与系数的关系,但遇到有关求根的符号的问题时,他们往往无所适从,教师应适当地加以引导,开阔学生的思路。 先从下面的题目谈起: 例1 当m为何实数时,方程(m+3)x~2-mx+1=0有两个负数根。 Although in the one-dimensional quadratic equation, students learn about the relationship between roots and coefficients, they often find themselves at a loss when they encounter problems concerning the root-seeking symbols. Teachers should guide them appropriately and broaden their thinking. Let's start with the following topics: Example 1 When m is a real number, the equation (m+3)x~2-mx+1=0 has two negative roots.