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二项式定理涉及项数、系数、指数等方面的规律和联系.一般来说,解决二项式定理问题相对独立,主要包括求展开式中的相关项,求二项式系数或系数和,系数的最大项,处理整除问题以及简单的放缩法证明等等.我们会发现,这类问题往往与数列的思想方法密切关联,本文结合具体例题加以分析,以进一步促进学生思维的灵活性,透彻地理解知识间的内部联系,这也是高中数学的基本要求之一.
The binomial theorem involves the laws and relations of terms, coefficients, indices, etc. Generally speaking, the problem of solving the binomial theorem is relatively independent, which mainly includes finding relevant items in the expansion, finding the sum of binomial coefficients or coefficients, The largest term of the coefficient, the treatment of the divisibility problem and the simple proof of shrinkage method, etc. We will find that such problems are often closely related to the sequence of thinking methods, this article combined with specific examples to be analyzed in order to further promote the flexibility of student thinking, A thorough understanding of the internal connections between knowledge is one of the basic requirements of high school mathematics.