CN102708732A - Multifunctional three-side projection box and projection display method - Google Patents

Abstract

A multifunctional three-sided projection box and projection display method, the projection box is composed of multiple projection surfaces, a top plate and a solid model, the projection surface H, the projection surface V and the projection surface W are perpendicular to each other, and the top plate is fixed on the projection surface V and the projection surface W Above, the projection surface V1 is movable, can be fixed between the projection surface H and the top plate, and is perpendicular to the projection surface H. The solid model is provided with many small holes for tying up suspension lines, and the suspension lines are fixed on the top plate by a plug. Adjust the number, length and position of the suspension lines on the solid model, and observe the solid model from the direction perpendicular to the projection surface, which can show the projection of various positions of the projection surface, straight lines and planes, and the three-sided projection of the shape. Demonstrate the rectangular projection theorem, the special position straight line on the general position plane and the projection relationship of the method of changing planes. The projection display of the present invention is comprehensive, easy to use, and can help students better learn projection relationships in descriptive geometry courses.

Description

Multifunctional three-sided projection box and projection display method

technical field

The invention relates to the field of teaching aids for assisting the learning of projection relations in descriptive geometry courses.

Background technique

At present, many engineering majors offer descriptive geometry courses. Due to the need for strong spatial imagery, many students cannot understand the three-plane projection relationship well, and it is difficult to establish the ability to transform thinking from spatial shapes to plane graphics. Axonometric projection diagrams, physical teaching models, etc. assist in explaining the three-plane projection relationship. However, these methods require students to have strong spatial imagination ability to understand. Therefore, a teaching aid and corresponding teaching aids that can better reflect the multi-plane projection relationship are needed The projection display method helps students learn the projection relationship in descriptive geometry.

Contents of the invention

In order to better display various projection relationships and assist students in learning descriptive geometry courses, the invention discloses a multifunctional three-sided projection box and a projection display method, which can conveniently display three-sided projections of lines, surfaces and spatial shapes, and can display Rectangular projection theorem, special position straight line on the general position plane and the projection relationship of one-time changing plane method.

For the multifunctional three-sided projection box of the present invention, its technical scheme is:

The multifunctional three-sided projection box is composed of multiple projection surfaces, a top plate and a solid model.

The projection surface H, the projection surface V, the projection surface W, the projection surface V1 and the top plate form a three-sided projection box, the projection surface H is at the bottom, the projection surface V and the projection surface W are fixed together by the mortise and tenon structure, and the projection is connected by the mortise and tenon structure. The plane H is fixed, the projection plane V is located on the rear side of the projection plane H, and the projection plane W is located on the right side of the projection plane H. The projection plane H, the projection plane V and the projection plane W are all square, and any two are perpendicular to each other. A transparent top plate with small holes is fixed on the projection surface V and the projection surface W through a mortise and tenon structure. The projection surface V1 is movable, and its height is equal to the distance between the projection surface H and the top plate. It can be fixed at any position between the projection surface H and the top plate, and is perpendicular to the projection surface H. It can show the projection relationship of one-time surface change method.

There are six types of solid models: line, surface, basic shape, composite shape, cutting body and intersecting body. The solid model is provided with a plurality of small holes, which are used to hang the solid model on the top plate by threading, and the distance between the small holes at different positions on the solid model is a multiple of the pitch of the small holes on the top plate.

The top plate is made of transparent material, which is square, and is provided with many small holes at equal intervals. These small holes form a square lattice, and the outer contour lines of the lattice are respectively parallel to the edge lines of the top plate. One end of the suspension wire is fixed on the solid model, and the other end is fixed on the small hole on the top plate by a plug. The stopper is made of flexible transparent material and is in the shape of a truncated cone with a through hole in the center. The suspension line of the fixed solid model passes through the small hole in the center of the plug, and the plug is fixed in the small hole of the top plate through extrusion deformation, and the suspension line is also squeezed and cannot slide downwards simultaneously.

For the projection display method of the multifunctional three-sided projection box of the present invention, its technical scheme is:

There are a large number of small holes on the top plate, which can easily adjust the position of the suspension line on the top plate. The plug fixes the suspension wire in the small hole of the top plate through extrusion deformation, so the length of the suspension wire can be adjusted conveniently. There are many small holes on the solid model, and different small holes can be selected to fix the solid model according to needs.

Adjusting the number and length of the suspension wires on the solid model and the position of the suspension wires on the top plate can make the solid model have different relative positions with each projection surface, and observe the solid model vertically from the top, front and left of the projection box respectively , can get the H-plane, V-plane and W-plane projections of the solid model, and can display the projections of the parallel lines of the projection plane, the vertical lines of the projection plane, the general position straight lines, the parallel planes of the projection plane, the vertical planes of the projection plane and the general position plane, and can Demonstrate the rectangular projection theorem and the projection law of special position straight lines on the general position plane. Observing the solid model from the direction perpendicular to the projection plane H and the projection plane V1 respectively, the projection law of the one-time changing plane method can be obtained.

The present invention can well display the three-sided projections of lines, planes, basic shapes, combined shapes, cut bodies and intersecting bodies, display the right-angle projection theorem, the special position straight line on the general position plane and the projection relationship of the surface-changing method, and assist Students build the ability to transform thinking from spatial shapes to plane graphics, and better learn the projection relationship in descriptive geometry courses.

Description of drawings

Below in conjunction with accompanying drawing, the present invention is further described:

Fig. 1 is the axonometric view of multifunctional three-sided projection box of the present invention;

Fig. 2 is a detailed view of the plug of the present invention;

Fig. 3 is a solid model figure of the present invention;

Fig. 4 is the implementation diagram of different position lines of the present invention;

Fig. 5 is the implementation diagram of different position planes of the present invention;

Fig. 6 is an implementation diagram of the surface changing method of the present invention.

In the figure: 1-projection plane H, 2-projection plane V, 3-projection plane W, 4-projection plane V1, 5-top plate, 6-plug, 7-suspension line, 8-cone model, 9-line model A, 10-line model B, 11-line model C, 12-right triangle model D, 13-right triangle model E, 14-right triangle model F, 15-obtuse triangle model.

Detailed ways

In Figure 1, the projection surface H(1) is placed horizontally, the projection surface V(2) and the projection surface W(3) are fixed together by the mortise and tenon structure, and are fixed to the projection surface H(1) by the mortise and tenon structure, the projection surface V(2) is located on the rear side of the projection plane H(1), and the projection plane W(3) is located on the right side of the projection plane H(1). The projection plane H(1), the projection plane V(2) and the projection plane W(3) are all square, and any two of them are perpendicular to each other. The projection plane V1(4) is movable, its height is equal to the distance between the projection plane H(1) and the top board (5), it can be fixed at any position between the projection plane H(1) and the top board (5), and it is compatible with the projection plane Face H(1) is vertical. The top plate (5) is fixed on the upper part of the projection surface V (2) and the projection surface W (3) through a mortise and tenon structure. Top plate (5) is transparent, is convenient to observe the H plane projection of shape. The top plate (5) is provided with many small holes, and these small holes form a square lattice, and the outer contour lines of the lattice are respectively parallel to the corresponding side lines of the top plate (5). Cone model (8) is fixed on the top plate (5) by hanging wire (7) and stopper (6). Observing the cone model (8) from the directions perpendicular to the projection plane H(1), projection plane V(2), projection plane W(3) and projection plane V1(4) respectively, the cone model (8) can be obtained H plane, V plane, W plane and V1 plane projection.

Fig. 2 is the detailed view of stopper (6), and stopper (6) adopts flexible transparent material to be made, and is conical shape, and the center has through hole, and the suspension line (7) of fixed physical model passes through the small hole in stopper center. Holes, the suspension line (7) is slid downward by the extrusion deformation of the plug (6).

In Fig. 3, the solid model includes six categories: line, surface, basic shape, combined shape, cutting body and intersecting body, and small holes are provided on the solid model for fixing the solid model.

In Fig. 4, the wire model A (9), the wire model B (10) and the wire model C (11) are all provided with two small holes, which are fixed on the top plate by two suspension wires (7) and two plugs (6) (5) up. By adjusting the length of the suspension line (7) and the position on the top plate (5), the projections of the parallel lines of the projection planes, the vertical lines of the projection planes and the general position straight lines of each projection plane can be displayed. The two suspension lines (7) of the line model A (9) are located on the same row of small holes on the top plate (5) perpendicular to the projection plane W (3), and have the same length. Therefore, the line model A (9) is side sagging Line, which belongs to the vertical line of the projection plane. The two suspension lines (7) of the line model B (10) are located on the same row of small holes on the top plate (5) perpendicular to the projection plane W (3), but the lengths are different. Therefore, the line model B (10) is a positive plane Lines, which belong to the parallel lines of the projection plane. It can be seen that adjusting the length of the suspension line (7) can change the relative positional relationship between the line model and the projection surface. The two suspension lines (7) of the line model C (11) are not equal in length, and they are not on the same row of small holes perpendicular to the projection plane W (3) or perpendicular to the projection plane V (2) on the top plate (5), so , the line model C(11) is a general position line.

Among Fig. 5, right-angled triangle model D (12), right-angled triangle model E (13) and right-angled triangle model F (14) are all provided with a small hole at three corners, can hang by one, two or three Line (7) and plug (6) are fixed on the top plate (5). By adjusting the number, length and position on the top plate (5) of the suspension wires (7), the projections of the parallel planes of the projection planes, the vertical planes of the projection planes and the general position plane of each projection plane can be displayed. The right triangle model D (12) is fixed by three suspension wires (7), and the lengths of the three suspension wires (7) are the same, therefore, the right triangle model D (12) is a horizontal plane, which belongs to the parallel plane of the projection plane. The right-angled triangle model E (13) is fixed by three suspension wires (7), wherein the two suspension wires (7) are of equal length and are located on the top plate (5) on the same row of small holes perpendicular to the projection plane V (2). The length of another suspension line (7) is different from the other two, therefore, the right triangle model E (13) is a positive vertical plane, which belongs to the vertical plane of the projection plane. The right-angled triangle model F(14) is fixed by two suspension wires (7), and the two suspension wires (7) are located on the same row of small holes on the top plate (5) parallel to the projection plane W(3). Therefore, the right-angled triangle model F(14) is a side plane, which belongs to the parallel plane of the projection plane.

Among Fig. 6, obtuse angle triangle model (15) is all provided with an aperture at three corner points a, b, c place, sideline bc middle part d place also is provided with an aperture, and has drawn connecting line ad. Respectively tie a suspension line (7) on the small holes at a and d places, the length of the two suspension lines (7) is the same, and the two suspension lines (7) are not located on the top plate (5) and the projection surface V(2) is vertical or on the same row of small holes perpendicular to the projection plane W(3), therefore, ad is a horizontal line. Then, select the small hole at the corner point b to tie a suspension wire (7), when the length of the suspension wire (7) at b place is different from the length of the suspension wire (7) at a and d places, the obtuse triangle model ( 15) is a general position plane, but contains a special position straight line of the projection plane in the general position plane, that is, the obtuse triangle model (15) contains the horizontal line ad. Place the projection plane V1 (4) between the projection plane H (1) and the top plate (5), make it perpendicular to the projection plane H (1), and make the projection plane V1 (4) perpendicular to the obtuse triangle model (15) The connecting line ad above, then in the new projection surface system V1/H, the obtuse triangle model (15) is the vertical surface of the projection surface, and the obtuse triangle model (15) is observed from the direction perpendicular to the projection surface V1 (4), It can be found that its projections on the projection surface V1(4) accumulate into a straight line, reflecting the projection relationship of the plane-changing method.

Claims (5)

1. multi-functional three-plane projection case; Be made up of a plurality of projecting planes, top board and solid model, it is characterized in that: projecting plane H (1), projecting plane V (2) and projecting plane W (3) are each other vertical, projecting plane H (1) below; Projecting plane V (2) is at rear side; Projecting plane W (3) is on the right side, and top board (5) is fixed on the top of projecting plane V (2) and projecting plane W (3), and projecting plane V1 (4) is perpendicular to projecting plane H (1); And can be fixed on the optional position between projecting plane H (1) and top board (5), solid model is suspended on the top board (5) through suspension line (7) and stopper (6).

2. multi-functional three-plane projection according to claim 1 case is characterized in that: top board (5) adopts transparent material to process, and above be provided with a lot of equidistant apertures all in a row in length and breadth.

3. multi-functional three-plane projection according to claim 1 case is characterized in that: all be provided with a plurality of apertures on the solid model, the distance on the solid model between the diverse location aperture all is the multiple that top board (5) is gone up aperture pitch.

4. multi-functional three-plane projection according to claim 1 case is characterized in that: stopper (6) adopts flexible clear materials to process, and be truncated cone-shaped, and the center has the aperture of perforation.

5. method of using the described multi-functional three-plane projection of claim 1 case to show projection; Observe the solid model in the projection case from direction respectively perpendicular to projecting plane H (1), projecting plane V (2) and projecting plane W (3); Obtain H face, V face and the projection of W face of solid model; Observe solid model from direction, obtain the V1 face projection of solid model, it is characterized in that: on the aperture of solid model, hitch suspension line (7) perpendicular to projecting plane V1 (4); Radical, length and the position on top board (5) of suspension line (7) on the adjustment solid model, the diverse location that makes line and face on solid model and the solid model be positioned at each projecting plane.

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