Mathematics East China Normal University Edition 7th grade under all theorems, properties, formulas

All the mathematical theorems and mathematical formulas in junior high school are in the junior high school mathematics textbooks, and they are available in the books.

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Differences in the properties, definitions, theorems of mathematics:

1. Mathematical properties: It is the characteristic of mathematical appearance and intrinsic, the property of a thing that distinguishes it from other things.

For example, the two inner angles of an isosceles triangle are equal.

2. Definition of mathematics: Mathematics is a precise and brief explanation of the essential characteristics of a thing or the connotation and extension of a concept.

For example, a triangle with two equal sides is called an isosceles triangle.

3. Mathematical theorems: Theorems refer to propositions that are proved on the basis of existing propositions, which can be other theorems or widely accepted statements, such as axioms.

For example, the determination theorem that the line and surface are perpendicular: if the straight line is perpendicular to two intersecting straight lines in the plane, then the straight line is perpendicular to this plane.

Definition: Originally refers to a clear description of the value of a thing. Modern definition: for a thing.

a precise and concise description of the essential characteristics or the connotation and extension of a concept; or to describe or standardize the meaning of a word or concept by listing the basic properties of an event or an object; The defined transaction or object is called the defined item, and its definition is called the defined item.

For example, the definition of a parallelogram: two sets of quadrilaterals with opposite sides parallel to each other, theorem: is a statement that has been proved true by logical limitations. Generally speaking, in mathematics, only important or interesting statements are called theorems. Proving theorems is a central activity in mathematics.

The properties and judgments of the figure are both theorems, properties: the form of things that are recognized from an objective point of view, and in a broad sense: properties are the connection between one thing and other things [if one thing can change one thing, then the two things are related].

For example, the properties of parallelograms: the opposite sides are parallel, the opposite sides are equal, the diagonals are bisected with each other, and the center is symmetrical.

Definition in mathematics is an artificially broad, universal explanatory meaning; a precise and concise description of the essential characteristics of a thing or the connotation and extension of a concept; or to describe or standardize the meaning of a word or concept by listing the basic properties of an event or an object; The defined transaction or object is called the defined item, and its definition is called the defined item. For example, the mathematical definition of a rectangle is: a parallelogram with all four corners at right angles is called a rectangle.

Properties in mathematics refer to the characteristics of the defined terms in the definition. For example, the properties of the rectangle are:

The two diagonal lines are equal;

The two diagonals are bisected with each other;

The two sets of opposite sides are parallel to each other;

The two sets of opposite sides are equal;

All four corners are right angles;

There are 2 axes of symmetry (4 for squares);

It is unstable (easily deformed).

Definition = what this thing is. Nature = what are the properties of this thing. Theorem = how to use this thing.

Definition: A precise and concise description of the essential characteristics of a thing or the connotation and extension of a concept.

Theorem: A statement that has been proved true by logical limitations.

Axiom: refers to basic facts that are self-evident according to human reason.

Concept: In the process of cognition, human beings rise from perceptual cognition to rational cognition, abstracting and summarizing the common essential characteristics of the things they perceive, which is an expression of the cognitive consciousness of the self.

Nature: The connection of one thing to another.

A concept is a representation of a thing, much the same as a definition, and a theorem is a more commonly used equation or formulation derived from an axiom or a proven theorem. The law is the regulation, and the nature is the deeper expression of the food that is introduced by the concept.

Definition – A proposition that is used to mediate something of a certain nature. For example, "A triangle with two equal sides is called an isosceles triangle."

Nature – the property of a thing that distinguishes it from others. For example, "The two inner angles of an isosceles triangle are equal".

Theorem - A proposition or formula that has been proven to be correct and can be used as a principle or law. For example, "two triangles with equal internal angles are isosceles triangles".

According to the use of the theorem, there can be a property theorem, a decision theorem, for example: "a straight line perpendicular to the plane" is defined as "a straight line perpendicular to the plane using a straight line" is called a straight line perpendicular to the plane.

The property theorem that lines are not perpendicular: two straight lines perpendicular to the same plane are parallel to each other.

The determination theorem that lines and planes are perpendicular to two intersecting lines in a plane, then the straight line is perpendicular to this plane.

I don't know if I buy this booklet, it's not expensive, the laws of the formula are there, it's been so many years, and I basically forgot about it