From plane geometry to stereometry, one of the core concepts that senior students need to understand first and foremost is that
Plane. If the plane geometry study is a graphic on a piece of paper, the stereo geometry study
And that's the graphics in "the whole space." and the plane is the cornerstone of this space model. Understood
It extends endlessly, without the abstract nature of borders and grasps their basic nature, and is the subject of follow-up learning. Off
Prerequisites for complex knowledge such as space angles and distance. This paper will be used from definition, nature to application, system
The concept of plane in the geometry of a high stereo。
Lesson 1: what is the 3d plane
In geometry
Plane
It's a two-dimensional extension to the four-week limit, no boundaries, no thickness
Geometric. Its core feature is “absolutely flat”, with no bumps. You can imagine it
It becomes an infinite, absolutely smooth ideal desktop. It's a million points and many lines. Group
And the sum of formations is not large in size, nor can they measure. This is a triangle, rectangle, etc. Studied in geometry of the plane
There is a difference in essence between " plane graphics " with a boundary and a measurable area. In stereo geometry, plane is carried
These graphics are stage itself。
In order to describe and operate this abstract concept, we have adopted several expressions. Intuitively
What does it mean
It's usually a parallel quadrilateral that represents a plane
. Greek letters alpha, beta, gamma, etc. Are commonly used in writing and reasoning
Symbol
, e. G. "ping"
Face alpha”. In addition, the letters of several points of the non-coalition line in the plane, such as the plane, could be used
Abc
I don't know. The plane is still working when the direct angle coordinates are introduced
Equation means
, in general form
Ax+
By + cz + d = 0
This provides a tool to study geometry using algebra methods。
