Geometry can be classified according to different attributes. The following are several commonly used classification methods:
According to the shape:
Point: there is no volume and surface area, only position coordinates.
Line: It has length, but no width and height.
Face: it has length and width, but no height.
Body: It has length, width and height, volume and surface area.
According to size:
Two-dimensional geometry: only exists on a plane, with length and width, but no height.
Solid geometry: exists in three-dimensional space, with length, width and height.
According to the shape of the face:
Regular polygon: a polygon with all sides and angles equal, such as triangle, quadrilateral, pentagon, etc.
Curved polygon: a polygon with at least one angle not equal to 360 degrees, such as arc, fan, etc.
Irregular polygon: Polygon with unequal sides and angles, such as trapezoid and rhombus.
According to the body shape:
Linear body: Geometric body with straight lines, such as prism and pyramid.
Cylinder: Geometry with a circular surface, such as cylinder, cone, etc.
Sphere: Geometric body with spherical surface, such as sphere, hemisphere, etc.
According to symmetry:
Symmetric geometry: geometry with symmetry axis, surface or point, such as cube, right cylinder, etc.
Asymmetric geometry: geometry without symmetry, such as irregular polygons and irregular spheres.
These classification methods are not independent of each other, and many geometric bodies can satisfy multiple classification methods at the same time.
Knowledge expansion
Learning mathematics requires persistence and constant practice. The following are some methods and suggestions for learning mathematics:
Establish a solid foundation: Mathematics is a deepening subject, and it is very important to establish a solid foundation. First, make sure that you have mastered the basic four operations and basic mathematical concepts.
Reading math textbooks and reference books: choose a math textbook that suits your current level and study in the order of textbooks. If you encounter difficulties in understanding, you can refer to other math textbooks or reference books.
Pay attention to practice: Mathematics is a highly practical subject, and theoretical study is only the first step, which requires a lot of practice to consolidate and apply what you have learned. Doing a lot of exercises and problem sets and finding some challenging problems to solve are helpful to deepen the understanding of mathematical concepts and methods.
Help-seeking discussion: If you encounter difficulties or questions, ask for help in time. You can find teachers, classmates or online math forums to answer and discuss. Discussing problems with others can help you better understand and apply mathematics knowledge.
Use Internet resources: There are many math learning resources online, such as math teaching videos and online math courses. Using these resources can increase the learning methods and improve the learning effect.
Cultivate mathematical thinking: Mathematical thinking is the key to solving problems. Learning mathematics is not only to remember formulas and methods, but also to cultivate mathematical thinking modes and habits. Always think and discuss mathematical problems, and exercise your logical reasoning ability and problem-solving ability.
Most importantly, learning mathematics requires perseverance and patience, and don't give up easily. I believe that I can master mathematics, and hard work and dedication will definitely bring progress.