解数学题的实质就是不断改变题目的已知条件,实现条件与结论的转化,联想往往是实现这种转化的有效途径之一.不妨看一个例子.例　已知α∈(0,π2),求证:ｓｉｎα+ｃｏｓα1.这是一道三角不等式的证明题,自然联想到三角函数的概念、图象、性质、公式等.联想1　若Ｐ(ｘ,ｙ)是α角 The essence of solving mathematics problems is to constantly change the known conditions of the problem and realize the transformation of conditions and conclusions. Association is often one of the effective ways to achieve this transformation. Let’s look at an example. Known examples of α∈(0,π2), Proof: sinα+cosα1. This is a proof of a triangle inequality, naturally associated with the concept, image, nature, formula, etc. of the trigonometric function. Association 1 If P(x,y) is the angle of α