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反函数是中学数学的重点难点之一,学生在学习中常常有着许多似是而非甚或是错误的认识。笔者多年执教于高三毕业班,认真总结了反函数的教学实践,从函数的本质进行反函数的复习教学,找到能快速帮助学生掌握反函数的突破口。在复习中同时对学生经常产生的错误问题进行了分析,以加深学生对反函数的理解和应用。
The inverse function is one of the most important and difficult problems in middle school mathematics. Students often have many paradoxical or incorrect mistakes in their studies. The author taught for many years graduated from the third year of senior high school, conscientiously summed up the teaching practice of inverse function, the nature of the function of the inverse function of teaching, to find a quick help students master the breakthrough of the inverse function. During the review, we also analyze the students ’frequent mistakes in order to deepen students’ understanding and application of the inverse function.