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近两年来各地出现求与数列的前n项和有关的高考试题,需要把通项拆成两项的和或差,通过求和,可以抵消许多项,最后只剩少数几项,因此,拆项成了解题的难点与关键.由于这部分内容涉及有理分式分拆成若干部分式的代数和,而中学课本也没有系统介绍,常导致有些学生无从下手,下面以近两年高考题为例介绍用待定系数法拆项求和.数学中有这样的结论:关于x的有理真分式必定可写成若干个部分式的代数和(证明
In the past two years, the first n items and the related college entrance examination questions for the numbers of appeals have appeared in all places. It is necessary to divide the general items into the sum or difference of two items. By summation, many items can be offset and only a few remain. Therefore, As part of the problem to solve the problem and the key.Because this part involves the rational fractionation into several partial algebraic and the textbooks are not secondary school system, often leading to some students can not start, the following two years college entrance examination subject Example To introduce the method of undetermined coefficient disassembly summation, there is such a conclusion in mathematics that the rational truth fraction for x must be written in terms of several partial algebra and (proof