相关性联想就是从所求问题出发,去寻找与它存在着某种联系的相关问题,从而得到所求问题的解决方.这种联想方法,可以开拓多种思路,有利于多角度、广途径的思考问题.【例】设0a1,0b1求证:a2+b2+a2+(1-b)2+(1-a)2+b2+(1-a)2+(1-b)2≥22分析:观察所求证的不等式左端的结构有两 Relevance association is to start from the problem we seek, to find related problems with it, so as to get the solution to the problem. This association method can develop a variety of ideas, is conducive to a variety of perspectives Thinking of the problem. [Example] Let 0a1, 0b1 verify: a2+b2+a2+(1-b)2+(1-a)2+b2+(1-a)2+(1-b)2≥22 Analysis: There are two structures on the left end of the inequality observed by the observation