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归纳猜想证明是一种由特殊出发,经过观察探求、归纳、猜想出可能的结果再加以论证的解题方法.猜想可使我们跃过常规思维的步骤,直接感知那些未曾出现过的东西,找到解题方法.数列中的一些问题,比如求数列的通项、前n项和问题等,往往可以利用归纳猜想并加以证明的方法来解决,在近几年高考中多多少少都有所体现,下面就以2014年高考中与其相关的两道数学试题进行求解,以飨读者.
Inductive conjecture proves to be a kind of problem-solving method, which is based on special starting, observation, seeking, inducing, and guessing the possible result, which can make us jump over the steps of normal thinking, perceive those things that have not appeared before, and find Problem solving methods. Some of the problems in the series, such as the general term, the first n terms and the problems in the series, can often be solved by inductive conjecture and proven methods. In recent years, college entrance examinations have been reflected more or less , Following the 2014 college entrance examination in its related two mathematics questions to solve, readers.