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函数思想是解决数学问题的重要数学思想之一,它贯穿于整个中学数学当中,常迁移到方程、不等式、数列、求最值、几何和实际应用等方面。在学习数学过程中,可以利用函数的思想研究问题,借助函数图象的直观性解决问题,尤其是一些高中数学不易入手的题目,用函数思想可以帮助疏理头绪,挖掘问题的内涵,化难为易进行解题。因此学习掌握函数思想是十分重要的,而培养生动活泼的函数思想是每一位数学教育者的责任。
Function thought is one of the important mathematical ideas to solve mathematical problems. It runs through the whole middle school mathematics and often moves to equations, inequalities, numbers, values, geometry and practical applications. In the process of learning mathematics, we can use the thought of function to study the problem, and solve the problem with the intuitiveness of the function image. Especially some high school math problems are not easy to start with. The idea of function can help to divert the clue and dig the connotation of the problem. Easy to solve the problem. Therefore, it is very important to study and master the thought of function, and it is the responsibility of every mathematics educator to cultivate the vivid function thought.