Definition of 1. Angle: An angle is a graph composed of two rays or line segments, and their common * * * endpoint is a vertex. This common endpoint is called the vertex of an angle.
2. Representation method of angle: the angle can be represented by capital letters or lowercase letters. Capital letters representing angles can be written above or below the vertices.
3. Measurement unit of angle: The measurement unit of angle is degree, which can be used to indicate the size of angle.
4. Classification of angles: angles can be divided into acute angles, right angles, obtuse angles, right angles and rounded corners. Acute angle is less than right angle, obtuse angle is greater than right angle but less than right angle, right angle is equal to 180, and fillet is equal to 360.
5. Angle operation: angles can be added, subtracted, multiplied and divided, in which addition and subtraction can be used to calculate the sum and difference of angles, and multiplication and division can be used to calculate the multiples and reciprocal of angles.
The application of mathematical angle;
1, Angle measurement: Angle measurement is often needed in engineering survey and geographical survey. The knowledge of mathematical angle can help us understand the concept, measurement unit, classification and operation of angle, so as to measure and calculate it better.
2. Geometry: Geometry is an important field in mathematics, and the knowledge of mathematical angle is one of the foundations of geometry. Using the knowledge of mathematics, we can better understand the concepts such as the nature, classification, area and perimeter of geometric figures, so as to better solve geometric problems.
3. trigonometric function: trigonometric function is an important tool in mathematics, and trigonometric function is closely related to mathematical angle. Using the knowledge of mathematics, we can better understand the definition, nature, application and calculation method of trigonometric function.
4. Mechanism mechanics: In mechanism mechanics, the angle and position of the mechanism are one of the important parameters. Using the knowledge of mathematical angle, we can better understand the concepts of angle, speed and acceleration of mechanism, so as to better analyze and design the mechanism.
5. Computer graphics: A lot of problems such as geometry and light need to be dealt with in computer graphics, and the knowledge of mathematical angle is one of the foundations to solve these problems.