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求解二项式定理问题时,一些同学常因概念不清导致失误,较易混淆的几个术语是:项、项数、二项式系数、项的系数、某一项系数与某一项的值。或者对二项展开式的通项公式认识不透彻而乱用公式,或者逆用二项式定理时审题不注意造成漏项也会导致解题错误。下面举例说明:
When solving the binomial theorem problem, some students often make mistakes because of unclear concepts. Some of the more confusing terms are: terms, terms, binomial coefficients, coefficients of a term, a certain coefficient, and a certain term value. Or the inexplicable and indiscriminate use of the formula for the general formula of the binomial expansion, or the omission of the careful examination of the item by the binomial theorem leads to misinterpretation. Here’s an example: