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有关二项展开式系数的考查在近几年高考中多次出现,是考试题中重点题型之一,难度较大.笔者通过对近几年试题的研究,发现给出的解法大都没有涉及问题的本质,没有揭示问题所反映的组合问题的函数背景,因此也就没有领会命题者的意图.若能透过现象看本质,揭示背景,抓住问题的实质,发现规律,统一解法,常可使问题迎刃而解,触类旁通.在“函数思想”指导下解决此问题是重要途径之一,抓住其内涵,理清关系,可使问题化难为易,提高学生解题能力,优化课堂教学.
The examination of the binomial expansion coefficient has appeared many times in the college entrance examination in recent years and is one of the key questions in the examination, which is more difficult.Through the research on the examination questions in recent years, I find that most of the solutions are not involved The essence of the problem does not reveal the functional background of the combinatorial problems reflected by the problems and hence the intentions of the proponents can not be understood.If we can look at the essence through phenomena, reveal the background, grasp the essence of the problems, discover the laws, unify the solutions, Solving this problem is one of the important ways to solve this problem under the guidance of “function thinking ”. Grasping its connotation and clarifying the relationship can make the problem difficult and easy, improve the students’ ability of solving problems, and optimize the classroom teaching .