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“极限”是高中数学的重要概念,作为高中、大学内容的结合点已成为高考的热点之一.一般情况下,大家往往只把注意力放在求极限值和证明极限等问题上,而忽视厂极限思想在解题中的应用.实际上,对于某些问题,如能灵活运用极限思想,不仅能降低问题的难度、优化解题过程,而且对培养学生的创造性思维及探索能力也大有益处,下面举例说明极限思想在实际问题中的应用.
“Limit” is an important concept of high school mathematics. As a combination of high school and university content, it has become one of the hot spots of the college entrance examination. Under normal circumstances, people often only pay attention to the issue of finding limits and proving the limits. The application of the ignorance of the plant’s limit thinking in solving problems is actually used. For some problems, if we can flexibly use limit thinking, we can not only reduce the difficulty of the problem, optimize the problem-solving process, but also develop students’ creative thinking and exploration ability. Great benefits, the following examples illustrate the application of limit thinking in practical problems.