论文部分内容阅读
方程思想是中学数学中一种重要的解题思想,其实质是把一个数学问题化归为方程问题处理。方程和不等式有着密切的联系,那么类似地,对某些数学问题能否也化归为不等式问题处理呢?答案是肯定的。我们把某个数学问题化归为不等式问题处理的解题思想称之为“不等式思想”。数学中数量关系的不等相对于相等更为广泛,数学问题中明显或隐含存在着大量的不等关系,这就为我们用不等式思想处理问题提供了契机。事实上,很多数学问题用这一思想处理是行之有效的。现依据常见题型分类举例,对这一解题思想作一点探讨。
The idea of equations is an important problem-solving idea in middle school mathematics. Its essence is to classify a mathematical problem as an equation problem. The equations and inequalities are closely related, so similarly, can some math problems be treated as inequality? The answer is yes. The problem-solving idea that we classify a mathematical problem as an inequality problem is called “inequality thought.” In mathematics, the inequality of the quantity relation is more extensive than the equality. There is a great deal of inequality in the mathematics problem. There is an opportunity for us to deal with the problem with the idea of inequality. In fact, many mathematical problems are handled effectively with this idea. According to the classification of common question types, we will discuss this problem-solving idea.