CN205508257U - Lan bote map projection presentation device - Google Patents

Abstract

The utility model relates to a lan bote map projection presentation device, conical scheme thoroughly paper cap and globe main part simulation lambert projection effect are utilized to it, and the light source sends from the earth's core, sees through the polyester film of globe main part, throws and covers passing through the drawing, retouches out the projection line with the pen, launches to scheme the paper cap thoroughly, can obtain the plane situation behind the vigorous top grade angle conic projection of orchid, utilizes deformation verification triangle -shaped to carry out the explanation of image directly perceived to lambert projection's deformation properties simultaneously, in addition the utility model discloses thereby convenient for material collection, design and production are simple and convenient, can be with abstract theoretical teaching visualization, vividly change the attention that can attract the student, very big improvement the teaching effects of cartography.

Description

A kind of blue vigorous specially figure projection demonstration device

Technical field

This utility model belongs to college demonstration teaching aid technical field, is specifically related to a kind of blue vigorous top grade angle circular cone map projection apparatus for demonstrating.

Background technology

Map is according to certain rule, represent the figure of the earth (or other celestial body) some phenomenons the most in the plane, it has strict Fundamentals of Mathematics, semiotic system, word annotation, and figure comprehension principle practicably, scientifically reflect nature and the distribution characteristics of socioeconomic phenomenon and mutual relation thereof.Map projection is the theory and method utilizing certain Mathematical rule that spherical coordinate longitude, latitude are transformed in plane.Owing to the earth is the most flat irregular spheroids in Lve Kuan the two poles of the earth, an equator, and its surface is a curved surface that can not open up, so using any mathematical method to carry out this conversion all can produce error and deformation, in a line teaching, the mode of the commonly used derivation of equation or slide show carries out map projection's teaching, but effect is the most very good, reason is the most theoretical complex and process is the most abstract, and student is not easy to understand.

Utility model content

In order to promote teaching level, strengthen intuitive, vividness and interest that map projection gives lessons, change existing teaching method, solve the problem that teaching efficiency is the best, this utility model provides a kind of blue vigorous specially figure projection demonstration device, utilize the whole process of this device demonstration lambert orthomorphic conical projection, make student can observe atural object key element intuitively and be transformed into the whole process of plane from sphere, understand deformation properties and the feature of lambert orthomorphic conical projection.

This utility model be the technical scheme is that to achieve these goals

The vigorous specially figure projection demonstration device of this orchid, the bulb including base and being arranged on base and light transmission tellurion main body, bulb is arranged on the geocentric position of tellurion main body, the outer surface of described tellurion main body is marked with deformation checking triangle and warp, parallel and equator, it is set with figure paper cap at the top of tellurion main body, the inner surface of saturating figure paper cap is tangent with tellurion main body, central shaft overlaps with the earth's axis of tellurion main body, figure paper cap is cone thoroughly, and the relation between equatorial radius R of its element of cone L and tellurion main body meets:

$\mathrm{\α}=2arctg\left(\frac{R}{L}\right)$

Wherein α is the cone angle of figure paper cap, 75 ° >=α >=30 °.

Above-mentioned figure paper cap is made up of conical sleeve and saturating drawing, and conical sleeve is made conical structure by thin wire, is coated with drawing on conical sleeve.

Above-mentioned tellurion main body includes tellurion skeleton and covers the mylar on tellurion skeleton outer surface, and deformation checking triangle is pasted onto the surface of mylar.

The vigorous specially figure projection demonstration device of orchid of the present utility model is saturating figure paper cap and the tellurion main body simulation lambert projection effect utilizing cone, light source sends from the earth's core, mylar through tellurion main body, it is incident upon on figure paper cap, projection line is described with pen, launch figure paper cap, i.e. available planar condition after lambert orthomorphic conical projection, the deformation properties simultaneously utilizing deformation checking triangle pair lambert projection carries out the explanation of visual pattern, additionally this utility model is drawn materials conveniently, design and produce simplicity, can be by abstract theory teaching visualization, animation, such that it is able to attract the attention of student, improve the teaching efficiency of cartography greatly.

Accompanying drawing explanation

Fig. 1 is the blue vigorous specially figure projection demonstration device internal structure schematic diagram of embodiment 1.

Detailed description of the invention

In conjunction with drawings and Examples, the technical solution of the utility model is further described, but this utility model is not limited only to following enforcement situation.

Embodiment 1

As it is shown in figure 1, the blue vigorous specially figure projection demonstration device of the present embodiment is made up of base 1, saturating figure paper cap 2, bulb 3, tellurion main body 4 and deformation checking triangle 5.

nullSpecifically: the base 1 of the present embodiment uses common table lamp base 1，Base 1 is provided with bulb 3，Tellurion main body 4 it is also equipped with outside bulb 3，Bulb 3 is arranged on the geocentric position of tellurion main body 4，The tellurion main body 4 of the present embodiment is made up of the mylar that tellurion skeleton and light transmission are good，Wherein tellurion skeleton is to be overlapped to form spherical cancellated plain type tellurion skeleton with thin wire according to through parallel，Bottom is fixed on base 1，The joint of the thin wire of overlap joint is fixed by top pin，The top pin of this tellurion skeleton is fixed，Size is equivalently-sized with commonly globe，Equatorial radius is R，Mylar covers the outer surface at tellurion skeleton，The outer surface of mylar is pasted with the deformation checking triangle 5 of a triangular structure of right angle，Two right-angle sides of deformation checking triangle 5 are respectively H and L，The outer surface of mylar also marks warp、Parallel and equator，It is set with figure paper cap 2 at the top of tellurion main body 4，The saturating figure paper cap 2 of the present embodiment is made up of conical sleeve and saturating drawing，Conical sleeve is made conical structure by thin wire，The height of this conical sleeve is equal with the earth's axis of tellurion main body 4，Conical sleeve is coated with drawing and forms figure paper cap 2，The central shaft of figure paper cap 2 overlaps with the earth's axis of tellurion main body 4 thoroughly，And the inner surface of figure paper cap 2 is tangent with tellurion main body 4 thoroughly，Meet between bus length L and equatorial radius R of tellurion main body 4 of the saturating figure paper cap 2 of the present embodiment:

$\mathrm{\α}=2arctg\left(\frac{R}{L}\right)$

Wherein α is the cone angle of figure paper cap 2, α=60 °.

Realizing projection demonstration with the vigorous specially figure projection demonstration device of this orchid, concrete grammar is realized by following steps:

(1) making bulb 3 luminous after switching on power, the light that bulb 3 sends makes warp, parallel, deformation checking triangle 5 form projection on saturating figure paper cap 2.

(2) on saturating figure paper cap 2, each bar warp and parallel, the projection line in equator are drawn one by one with pencil, mark the projection line of figure paper cap 2 parallel tangent with tellurion main body 4, the projection line of deformation checking triangle 5 is drawn with blue pen, change the position of deformation checking triangle 5, again draw deformation checking triangle 5 at another group projection line corresponding to saturating figure paper cap 2 with blue pen, conical sleeve generatrix direction along saturating figure paper cap 2 takes off drawing, the planar condition after institute's drawing shape is lambert projection on saturating drawing.

(3) angle and the area of deformation checking triangle 5 at two location points on mylar are measured, S=0.5HL, measure deforming after the projection of corresponding position on figure paper cap 2 again and verify angle and the area s of triangle 5, the angle of the deformation checking triangle 5 before and after compared projections and area change, if projection front and rear angles equal explanation lambert projection does not has angular distortion, if area equation (S=s) before and after Tou Ying, illustrate that lambert projection does not has area distortion, otherwise, on the contrary.

Projected length corresponding in the parallel length and saturating figure paper cap 2 that on mylar, saturating figure paper cap 2 is tangent with tellurion main body 4 is measured with tape measure, the parallel length that before and after compared projections, saturating figure paper cap 2 is tangent with tellurion main body 4, if length equal proof lambert projection does not has length deformation on parallel.

Embodiment 2

The deformation checking triangle of the present embodiment selects the length of side to be the equilateral triangle of 20mm, and its paste position is on the lower half sphere in the South Pole.

Meet between bus length l and equatorial radius R of tellurion main body 4 of the saturating figure paper cap 2 of the present embodiment:

$\mathrm{\α}=2arctg\left(\frac{R}{l}\right)$

Wherein α is the cone angle of figure paper cap 2, α=75 °.

Other parts and installation thereof constitute same as in Example 1.

Embodiment 3

The deformation checking triangle of the present embodiment selects the length of side to be the equilateral triangle of 20mm, and its paste position is on subarctic upper half sphere.

Meet between bus length l and equatorial radius R of tellurion main body 4 of the saturating figure paper cap 2 of the present embodiment:

$\mathrm{\α}=2arctg\left(\frac{R}{l}\right)$

Wherein α is the cone angle of figure paper cap 2, α=30 °.

Other parts and installation thereof constitute same as in Example 1.

In above-described embodiment, deformation checking triangle 5 can carry out position adjustment according to practical situation, and the angle of triangle can also suitably adjust, in like manner, on the outer surface of tellurion main body 4, the warp of labelling, parallel can also suitably adjust, it is only required in projected area, place, can carry out comparative illustration before and after projection, cone angle and base diameter for saturating figure paper cap 2 all can adjust according to reality, are not limited only to above-mentioned enforcement situation.

Claims (3)

1. the vigorous specially figure projection demonstration device of orchid, it is characterised in that: include base (1) and install Bulb (3) on base (1) and light transmission tellurion main body (4), bulb (3) is arranged on the earth The geocentric position of instrument main body (4), the outer surface of described tellurion main body (4) is marked with deformation checking triangle Shape (5) and warp, parallel and equator, be set with figure paper cap (2) at the top of tellurion main body (4), Thoroughly the inner surface of figure paper cap (2) is tangent with tellurion main body (4), central shaft and tellurion main body (4) The earth's axis overlap, saturating figure paper cap (2) is in cone, and its element of cone L is red with tellurion main body (4) Relation between road radius R meets:

$\mathrm{\α}=2arctg\left(\frac{R}{L}\right)$

Wherein α is the cone angle of figure paper cap (2), 75 ° >=α >=30 °.

The vigorous specially figure projection demonstration device of orchid the most according to claim 1, it is characterised in that: described Figure paper cap (2) is made up of conical sleeve and saturating drawing, and conical sleeve is made conical structure by thin wire, Drawing it is coated with on conical sleeve.

The vigorous specially figure projection demonstration device of orchid the most according to claim 1, it is characterised in that: describedly Globe main body (4) includes tellurion skeleton and covers the mylar on tellurion skeleton outer surface, deformation Checking triangle (5) is pasted onto the surface of mylar.