众所周知,几何学是一门严密的逻辑演绎科学,正如爱因斯坦所说,欧氏几何让“世界第一次目睹了一个逻辑体系的奇迹,这个逻辑体系如此精密地一步一步推进,以至它的每一个命题都是绝对不容置疑的。”在几何证明中,人们看到的尽是“因为……,所以……”,按步就班一步一步推进,看不到直觉思维的存在与作用。这就给人们一个感觉,似乎在几何问题的解决过程中,是不需要直觉思维的。本文试图阐明这是一个错 As we all know, geometry is a science of rigorous logic deduction. As Einstein said, Euclidean geometry makes “the world witnessed the miracle of a logical system for the first time. This logical system moves so delicately and step by step that its Every proposition is absolutely indisputable.” In the geometric proof, what people see is “because..., so...”, step by step, step by step, seeing the existence and role of intuitive thinking. This gives people a feeling that it does not require intuitive thinking in the process of solving geometric problems. This article attempts to clarify that this is an error