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在数学研究过程中,数形结合既是一种重要的数学思想,又是一种常用的数学方法,数形结合是历年高考的重点和热点之一。而分段函数作为一类特殊的函数,凡是函数中所涉及到的内容,它都有可能涉及到,如求分段函数的定义域和值域、极值和最值、判断其奇偶性、对称性、单调性、周期性,作图象等在历届高考中也都有所体现,解决这些问题的主要思想方法有数形结合、等价转化及分类讨
In the process of mathematical research, the combination of number and shape is not only an important mathematical thought, but also a common mathematical method. The combination of number and form is one of the focuses and hot spots of the college entrance examination over the years. The piecewise function as a special kind of function, all the functions involved in the content, it may involve, such as seeking the definition of sub-range function and the range, the extreme value and the most value, to determine its parity, Symmetry, monotonous, periodic, for the image of the college entrance examination in all previous have also been reflected in the main ideas and methods to solve these problems are a combination of several forms, equivalent transformation and classification