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圆的定义是:“平面内到定点距离等于定长的点的轨迹。”(定点叫做圆心,定长叫做半径)对于上述定义,数学教育工作者和小学数学教师可说是“耳熟能详”。可是,一方面,由于几何学上最基本的点、线、面实际上是不存在的,它完全是一种抽象的概念,只不过为帮助人们理解这种概念才作出有形的点、线、面来;另一方面,由于生活中口语的习惯,它不像数学语言那样严谨
The definition of a circle is: “The trajectory of an in-plane distance from a fixed point to a point of fixed length.” (Fixed-point is called the center of a circle, and fixed-length is called a radius.) For the above definition, maths educators and primary school math teachers are “familiar”. However, on the one hand, because the geometric basic point, line, surface actually does not exist, it is entirely an abstract concept, but to help people understand this concept before making a tangible point, line, On the other hand, due to the habit of speaking in life, it is not as rigorous as the mathematical language