一、前言21世纪的社会是一个需要创新人才的社会,江泽民总书记就明确提出过:“创新是一个民族的灵魂,是一个国家兴旺发达的不竭动力。”可见创新的重要性,而创新的关键是教育,教育是培养创新人才的重要途径。而数学是一项训练学生思维的一门重要的学科,包涵了形象思维、演绎思维、类比思维、直觉思维和函数思维等各种各样的思维。它的主要特征是逻辑性比较强,以认识和发张数学规律为主要任务。数学中各种各样的思维是培养学生创新能力的重要条件,其思维一般具有:直觉 I. Introduction The 21st century society is a society in need of innovative personnel. General Secretary Jiang Zemin explicitly pointed out: “Innovation is the soul of a nation and an inexhaustible motive force for the prosperity and development of a country.” "We can see the importance of innovation, The key to innovation is education and education is an important way to train creative talents. Maths is an important discipline to train students’ thinking, and includes various thinking such as image thinking, deductive thinking, analogy thinking, intuition thinking and function thinking. Its main feature is the relatively strong logic, to recognize and send mathematical rules as the main task. A variety of thinking in mathematics is an important condition for cultivating students’ innovative ability. Their thinking generally has the following: intuition