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函数的性质是函数部分学习的难点与易错点,是高考每年必考的内容,例如判定函数的奇偶性、周期性和对称性,以及周期性与奇偶性相结合的题目.命题形式也很多样,选择题(江苏不考)、填空题和解答题,难度分布上既有容易题、中档题,也有难题.利用函数性质的定义以及函数图象来解决奇偶性、周期性和对称性是解决这类问题的主要方法.
The nature of the function is the difficulty and error-prone point of learning part of the function, which is the content of the annual examination of the college entrance examination, such as the parity of the decision function, periodicity and symmetry, and the combination of periodicity and parity. There are also many propositional forms. Samples, multiple-choice questions (not tested in Jiangsu), fill in blank questions and answer questions, difficulty in the distribution of both easy questions, mid-range questions, but also problems. The use of the definition of the nature of the function and the function of the image to solve the parity, periodicity and symmetry is the solution The main method of this type of problem.