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初中数学学习过程中,学生已先后经历过一次函数、二次函数的学习过程,对函数有了一定的认识,初步掌握了研究函数的一般方法,理解了方程与函数的关系,能借助函数的观点看方程.海淀区的这道题是在学生已有函数学习活动经验的基础上,以新函数为载体,通过问题的解决过程,清晰地将函数研究的基本脉络呈现给学生并帮助学生形成主干知识系统,同时,在数形结合、分类讨论等数学思想方法的考查方面也有突出体现.
Junior high school mathematics learning process, the students have experienced a one-time function, the quadratic function of the learning process, have a certain understanding of the function, preliminary mastered the general method of studying the function, understand the relationship between the equation and function can function This problem of Haidian District is based on the experience of students in existing function learning activities and on the basis of the new function as a carrier. Through the problem solving process, the basic context of function research is clearly presented to students and help students to form At the same time, it also has a prominent manifestation in examining mathematical methods such as the combination of number and form, classification and discussion.