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解决一个数学问题常常不止一种方法,变换不同的思考角度就可能得到不同的解法.如果一道数学题由两个或三个小问题组成,前面问题的解决常常与后面的问题有一定的关联、影响或启示,其求解过程通常会对后面问题的解决产生影响,不同的视角可能会有不同的结果,下面以2014年江苏高考数学试卷第20题为例,体会一下不同思考视角引出的一个命题的推广过程.一、题目呈现设数列{an}的前项和为Sn,若对任意正整数
To solve a mathematical problem is often more than one way, the transformation of different perspectives may be different solutions.If a math problem consists of two or three small problems, the solution of the previous problems are often associated with the following problems, Influence or enlightenment, the solution process will usually have an impact on the solution of the following problems, and different perspectives may have different results. Take the 20th question of the 2014 college entrance examination in Jiangsu as an example to understand a proposition from different perspectives Of the promotion process. First, the subject assumes that the number of columns {an} of the preceding paragraph and is Sn, if any positive integer