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含有参数的不等式问题是高中数学的重要内容之一,它与不等式、函数、几何等内容有机地结合起来,综合性强,解法灵活。在解决这类问题的过程中将会涉及“函数与方程”“化归与转化”“数形结合”“分类讨论”等数学思想,有利于培养学生的逻辑思维能力、抽象思维能力以及知识整合能力。下面举例说明,以供大家学习交流。
The problem of inequality with parameters is one of the important contents of mathematics in high school. It is organically integrated with inequality, function, geometry and so on. It has comprehensiveness and flexible solution. In the process of solving such problems, we will be involved in mathematics such as “function and equation ” “combination of transformation and transformation ” “class discussion ” and other mathematical ideas, which is conducive to cultivating students’ logical thinking Ability, abstract thinking ability and knowledge integration ability. The following example, for the exchange of learning.