1. The definition is to describe or standardize the meaning of a word or a concept by enumerating the basic attributes of a thing or an object. Such as the definition of angle bisector: if a ray divides an angle into two equal angles, then this ray is called angle bisector.
2. The essence of mathematical knowledge refers to extended knowledge such as operation rules or formulas directly derived from mathematical concepts, and the concept and essence of mathematical knowledge are closely related. For example, the nature of the bisector of an angle is that if a ray is the bisector of an angle, then the distance from the point on this ray to both sides of the angle is equal.
Second, there are different emphases on the definition and description of nature.
1, definition, an accurate and brief explanation of the essential characteristics of a thing or the connotation and extension of a concept. Generally speaking, it is to answer what the research object is, and there are often "yes" or "call" in the definition. For example:
If a ray divides an angle into two equal angles, then this ray is called the bisector of the angle.
2. The nature of the angular bisector focuses on stating the characteristics of the angular bisector, which is often a theorem directly derived from mathematical concepts. For example:
If a ray is the bisector of an angle, then the distance from the point on this ray to both sides of the angle is equal. (property theorem)
The points from the inside of the angle to both sides of the angle are on the bisector of the angle. (Decision Theorem)
Extended data:
The definition and nature of mathematical knowledge are different in basic concepts and description emphases.
1, the key point of the definition is to answer "What is the angular bisector?" "What is the angle bisector", such as:
If a ray divides an angle into two equal angles, then this ray is called the bisector of the angle.
2. Nature emphasizes "What are the characteristics of the angular bisector?" problem For example:
If a ray is the bisector of an angle, then the distance from the point on this ray to both sides of the angle is equal.
References:
Baidu encyclopedia-angle bisector