不等式的证明是高中数学的一个难点,如果能仔细观察所给不等式的结构形式,依据题目的条件或结论的模式,联想所学过的知识,或已解决过的问题,制定解题方案,则可使命题迅速巧妙地得到解决.一、根据命题条件所提供的模式展开联想例1已知a,b∈R,|a|≤1,|b|≤1,求证ab+(1-a2)(1-b2)? The proof of inequality is a difficult point in high school mathematics. If you can carefully observe the structure of the inequality given, and devise associations with the knowledge or problems that have been solved, and formulate problem solving solutions based on the conditions of the questions or the patterns of the conclusions, then The quest can be resolved quickly and subtly. First, according to the propositional conditions provided by the model to expand Association 1 known a, b ∈ R, | a | ≤ 1, | b | ≤ 1, to verify ab + (1-a2) ( 1-b2)?