Template of pictorial diagram for simulating bimetric projection, picture constructing method thereof and use of template

Abstract

The invention provides a template of a pictorial diagram for simulating bimetric projection, a picture constructing method thereof and use of the template. The template is characterized in that an included angle between a projection line of the pictorial diagram and an x-axis, an included angle between the projection line and a y-axis, and the included angle between the projection line and the z-axis are respectively alpha, 90 degrees and 90 degrees-alpha, and when sin alpha is 0.2 or 0.15, the axial stretching ratio of a three-dimensional coordinate is 0.2:1:1 or 0.15:1:1. A great circle with a sphere outline is arranged at the center of the template, a key position line of geometry in common use is arranged on the outline of the great circle, an inscribed sphere outline circle with a sphere inscribed cube is arranged at the lower right part of the outline of the great circle, and an inscribed sphere outline circle with a sphere inscribed regular tetrahedron is arranged at the lower left part of the outline of the great circle; three ellipses are arranged on the two sides of the template, are respectively formed by the stretching and contracting of the circumscribed circles of squares on the upper surface and the lower surface of the sphere inscribed cube, the stretching and the contracting of the circumscribed circles of triangles on the bottom of sphere inscribed regular tetrahedron, and the stretching and the contracting of the great circle of the equator. Due to the adoption of the method and the template provided by the invention, various pictorial diagram for simulating biometric projection can be drawn.

Description

technical field [0001] The present invention relates to a drawing method and a template of a pseudo-orthogonal visual diagram and a template thereof, and in particular discloses a template for a pseudo-orthographic diagram and its composition method and the use of the template. It is a school stationery and is used for drawing visual diagrams Tool template. Background technique [0002] For decades, a popular mistake in middle school teaching is that the oblique two-dimensional visual drawing method is the parallel projection drawing method. The inventor of this case has already published "Proof that Oblique Quadratic Visual Graphs Are Not Parallel Projective Space Graphs" in "Mathematics Bulletin". [0003] The oblique coordinate system currently used has been adjusted. The essence of the adjustment is to rotate the x-axis counterclockwise by about 3.59° and the y-axis counterclockwise by about 7.18°. This rotation makes the lower left part of the ball droop too much , th...

AI Technical Summary

Problems solved by technology

This is a great regret for cultivating students' spatial imagination ability. If this problem is not solved, this regret will continue endlessly

[0010] Compare the parallel projection visual diagrams drawn by various common drawing methods (see attached figure 1 ), it can be seen that although the currently popular "oblique two-dimensional drawing method" does not actually belong to parallel projection, the simple polyhedron drawn by this method is very intuitive, but the intuitiveness of the sphere drawn by this method is very good. The graph is difficult to agree with, because it is too far away from the spherical "intuition"

Images