一、直觉思维及数学直觉思维的描述直觉是以真实的事物为对象,通过各种感觉器官直接获得的感觉或感知.例如,等腰三角形的两个底角相等,两个角相等的三角形是等腰三角形等概念、性质的界定并没有一个严格的证明,只是一种直观形象的感知.而直觉的研究对象则是抽象的数学结构及其关系.庞加莱说:“直觉不必建立在感 First, the intuitive thinking and intuitive thinking of mathematics description Intuition is the real thing as the object, through a variety of sensory organs directly to get the feeling or perception.For example, the two bottom-isosceles triangle angle equal to two equal triangle is Isosceles triangles and other concepts, the definition of the nature and there is no strict proof, just an intuitive perception of the image, while the intuitive object of study is the abstract mathematical structure and its relationship.Panga Lai said: ”intuition do not have to build on sense