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组合数学是普通高中数学知识的一部分,主要涉及到组合计数以及一些基本组合技巧等.学生在课堂中主要学习计数方法和一些简单的组合数的公式,体现新课程标准对组合思想的理解.在近几年的大学自主招生试题和训练营试题中都或多或少的出现一些有关组合的试题,这些试题往往具有一些综合性,组合计数和函数最值等有某些联系.由此不难看出更侧重于考察的学生综合的数学能力.本文主要分析以下两个例题,期望同学们更加注重组合知识与其它知识点联系.例1(2013年北京大学暑期训练营组合试题)
Combinatorial mathematics is part of ordinary high school mathematics knowledge, which mainly involves combination counting and some basic combinatorial skills, etc. Students mainly learn the counting method and some simple combinations of formulas in the classroom, reflecting the new curriculum standard understanding of combinatorial thinking. In recent years, college self-enrollment test and training camp test questions are more or less some combination of the questions, these questions often have some comprehensive, combined counting and the function of the most value, there are some connections. It is not difficult to see More emphasis on the study of comprehensive mathematical ability of students.This paper mainly analyzes the following two examples, expecting students to pay more attention to the combination of knowledge and other knowledge points.Example 1 (Peking University summer training camp combination test 2013)