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高等數(shù)學(xué)在中學(xué)數(shù)學(xué)恒等式證明中的應(yīng)用
高等數(shù)學(xué)在中學(xué)數(shù)學(xué)恒等式證明中的應(yīng)用
摘要
概率論、導(dǎo)數(shù)、復(fù)數(shù)、牛頓插值法、齊次多項(xiàng)式是高等數(shù)學(xué)中的知識(shí)，本文用概率論中的古典概型、幾何概型等概率論知識(shí)證明了組合恒等式、自然恒等式等高中數(shù)學(xué)中的1系列恒等式，而且提出并證明了與復(fù)數(shù)、牛頓插值法、齊次多項(xiàng)式有關(guān)的兩個(gè)定理，并運(yùn)用它們和導(dǎo)數(shù)證明了高中數(shù)學(xué)中的恒等式．
關(guān)鍵詞：概率模型；導(dǎo)數(shù)；復(fù)數(shù)；牛頓插值法
The Applications of Higher Mathematics for the Demonstration of Identical Equation in the High-school Mathematics
ABSTRACT
The contents about probability,derivative,complex number,Newton inserting method,homogeneous polynomial are studied in higher mathematics.This article demonstrates a series of identical equations such as combination identical equation, natural identical equation,which appears frequently in high-school mathematics through some probability knowledge mainly in virtue of classical probability model and geometry probability model.At the same time two theorems about complex number、Newton interpolation method and homogeneous polynomial are proved and some identical equation in the high-school mathematics are also demonstrated through the two theorems and the theory of derivative.
Key words: probability model;derivative;complex number;Newton inserting method
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