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二项式定理是中学数学的一个重要定理,不仅在初等数学学习中有着广泛应用,而且又是学习概率、微积分等有关高等数学的重要基础知识.重点难点重点:二项式定理的通项公式和二项式系数的性质.难点:二项式定理的应用.方法突破1.二项式定理是恒等式,要注意公式的正用和逆用:从左往右用,可解决如整除性问题、余数问题、近似计算等;从右往左用,是把一个多项式合并,或者是一个求和公式,利用它可解决某些求和的问题.
Binomial theorem is an important theorem of middle school mathematics, which not only has a wide range of applications in elementary mathematics learning, but also important basic knowledge about higher mathematics such as probability and calculus. Formulas and Binomial Coefficients Difficulties: Application of Binomial Theorem Methods Breakthrough 1. The binomial theorem is an identity, taking note of the positive and negative use of the formula: From left to right, solutions such as divisibility Problem, remainder problem, approximate calculation, etc .; from right to left, a polynomial is combined or a summation formula, which can be used to solve some of the problems of summation.