CN102708732A - Multifunctional three-side projection box and projection display method - Google Patents
Multifunctional three-side projection box and projection display method Download PDFInfo
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- CN102708732A CN102708732A CN201210143906XA CN201210143906A CN102708732A CN 102708732 A CN102708732 A CN 102708732A CN 201210143906X A CN201210143906X A CN 201210143906XA CN 201210143906 A CN201210143906 A CN 201210143906A CN 102708732 A CN102708732 A CN 102708732A
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Abstract
Disclosed are a multifunctional three-side projection box and a projection display method. The multifunctional three-side projection box consists of multiple projection sides, a top plate and a physical model. The projection side H, the projection side V and the projection W are perpendicular one another. The top plate is fixed above the projection side V and the projection side W. A projection side V1 is movable and can be fixed between the projection H and the top plate and perpendicular to the projection side H. The physical model is provided with multiple small holes used for tying hanging lines, and the hanging lines are fixed on the top plate through plugs. By adjusting the number and the length of the hanging lines on the physical model and the positions on the top plate of the hanging lines and observing the physical model from the direction perpendicular to the projection sides, linear and planar projections of different positions of the projection sides and three-side projection of a body can be displayed, and the right-angled projection principle, straight lines of special positions on a general position plane and projection relations of the surface changing method can be displayed. The multifunctional three-side projection box can fully display projection, is convenient to use and capable of helping students learn projection relations in geometric drawing classes.
Description
Technical field
The present invention relates to the teaching aid field of projection relation in the CAL descriptive geometry course.
Background technology
At present, a lot of industry science specialties are all offered the descriptive geometry course, owing to need very strong space force image; A lot of students can not understand three-plane projection's relation well; Be difficult to set up the thinking transfer capability from the space configuration to the planar graph, the normal aid illustration three-plane projection relations such as axonometric projection graph, entity teaching mode that adopt in the teaching, still; These methods also need the student to have stronger space imagining ability could to understand; Therefore, need a kind of teaching aid and respective projection methods of exhibiting that can embody the polyhedral projection relation better, auxiliary student learns the projection relation in the descriptive geometry.
Summary of the invention
In order to show various projection relations better; Auxiliary student learns the descriptive geometry course; The present invention discloses a kind of multi-functional three-plane projection case and projection methods of exhibiting; Can show the three-plane projection of line, face and space configuration easily, and can show the specific position straight line on right angle projection theorem, the general position plane and once change the projection relation of face method.
For multi-functional three-plane projection of the present invention case, its technical scheme is:
Said multi-functional three-plane projection case is made up of a plurality of projecting planes, top board and solid model.
Projecting plane H, projecting plane V, projecting plane W, projecting plane V1 and top board are formed three-plane projection's case; Projecting plane H below; Projecting plane V and projecting plane W are fixed together through joinery and its construction; And fix through joinery and its construction and projecting plane H, projecting plane V is positioned at the rear side of projecting plane H, and projecting plane W is positioned at the right side of projecting plane H.Projecting plane H, projecting plane V and projecting plane W are square, and vertical each other in twos.Fix narrow meshed transparent roof panels at projecting plane V with above the W of projecting plane through joinery and its construction.Projecting plane V1 is movable, highly equals the distance between projecting plane H and top board, can be fixed on the optional position between projecting plane H and top board, and vertical with projecting plane H, can show the projection relation that once changes the face method.
Solid model is wired, six big types of face, basic body, composite entity, cut body and intersecting bodys.All be provided with a plurality of apertures on the solid model, be used for threading solid model is suspended on top board, and the distance on the solid model between the diverse location aperture all is the multiple of aperture pitch on the top board.
Top board adopts transparent material to process, and is square, is provided with a lot of equally spaced apertures above, and these apertures form a foursquare dot matrix, and the outer contour of dot matrix is parallel to the sideline of top board respectively.Suspension line one end is fixed on the solid model, and the other end is fixed on the aperture of top board through stopper.Stopper adopts flexible clear materials to process, and be truncated cone-shaped, and the center has the aperture of perforation.The suspension line of permanent entity model passes the aperture at stopper center, and stopper is fixed on through crimp in the aperture of top board, and suspension line is also choked simultaneously can not be to lower slider.
For the projection methods of exhibiting of multi-functional three-plane projection of the present invention case, its technical scheme is:
Aperture One's name is legion on the top board can be adjusted the position of suspension line on top board easily.Stopper is fixed on suspension line in the aperture of top board through crimp, therefore can adjust the length of suspension line easily.A plurality of apertures are arranged on the solid model, can select different apertures to fix solid model as required.
Radical, length and the suspension line position on top board of suspension line on the adjustment solid model; Can make solid model and each projecting plane be different relative position; Respectively from top, the place ahead and the left right-angle view solid model of projection case; Can obtain H face, V face and the projection of W face of solid model; The projection on projecting plane parallel lines, projecting plane perpendicular line, general position straight line, projecting plane parallel surface, projecting plane vertical plane and general position plane can be showed, and the projection law of the specific position straight line on right angle projection theorem, the general position plane can be showed.Observe solid model from direction respectively, can once be changed the projection law of face method perpendicular to projecting plane H and projecting plane V1.
The present invention can show the three-plane projection of line, face, basic body, composite entity, cut body and intersecting body well; Show the specific position straight line on right angle projection theorem, the general position plane and change the projection relation of face method; Auxiliary student sets up the thinking transfer capability from the space configuration to the planar graph, learns the projection relation in the descriptive geometry course better.
Description of drawings
Below in conjunction with accompanying drawing the present invention is further specified:
Fig. 1 is the axonometric drawing of multi-functional three-plane projection of the present invention case;
Fig. 2 is a stopper detail drawing of the present invention;
Fig. 3 is solid model figure of the present invention;
Fig. 4 is the enforcement figure of diverse location line of the present invention;
Fig. 5 is the enforcement figure of diverse location face of the present invention;
Fig. 6 is the enforcement figure that changes the face method of the present invention.
Among the figure: 1-projecting plane H, 2-projecting plane V, 3-projecting plane W, 4-projecting plane V1; The 5-top board, 6-stopper, 7-suspension line, 8-cone model; 9-line model A, 10-line model B, 11-line model C, 12-right-angle triangle model D; 13-right-angle triangle model E, 14-right-angle triangle model F, 15-obtuse triangle model.
Embodiment
Among Fig. 1; Projecting plane H (1) horizontal positioned, projecting plane V (2) and projecting plane W (3) are fixed together through joinery and its construction, and fixing through joinery and its construction and projecting plane H (1); Projecting plane V (2) is positioned at the rear side of projecting plane H (1), and projecting plane W (3) is positioned at the right side of projecting plane H (1).Projecting plane H (1), projecting plane V (2) and projecting plane W (3) are square, and vertical each other in twos.Projecting plane V1 (4) is movable, highly equals the distance between projecting plane H (1) and the top board (5), can be fixed on the optional position between projecting plane H (1) and top board (5), and vertical with projecting plane H (1).Top board (5) is fixed on the top of projecting plane V (2) and projecting plane W (3) through joinery and its construction.Top board (5) is transparent, is convenient to observe the H face projection of body.Top board (5) is provided with a lot of apertures, and these apertures form a foursquare dot matrix, and the outer contour of dot matrix is parallel to the corresponding sideline of top board (5) respectively.Cone model (8) is fixed on the top board (5) through suspension line (7) and stopper (6).Observe cone model (8) from direction respectively, can obtain H face, V face, W face and the projection of V1 face of cone model (8) perpendicular to projecting plane H (1), projecting plane V (2), projecting plane W (3) and projecting plane V1 (4).
Fig. 2 is the detail drawing of stopper (6); Stopper (6) adopts flexible clear materials to process, and be truncated cone-shaped, and the center has the aperture of perforation; The suspension line of permanent entity model (7) passes the aperture at stopper center, and the crimp restriction suspension line (7) through stopper (6) is to lower slider.
Among Fig. 3, solid model comprises line, face, basic body, composite entity, cut body and intersecting body six big classes, on solid model, all is provided with aperture, is used for fixing solid model.
Among Fig. 4, line model A (9), line model B (10) and line model C (11) are provided with two apertures, are fixed on the top board (5) through two suspension lines (7) and two stoppers (6).Through the length and the position on top board (5) of adjustment suspension line (7), can show the projection of projecting plane parallel lines, projecting plane perpendicular line and the general position straight line on each projecting plane.Two suspension lines (7) of line model A (9) are positioned at top board (5) to be gone up on same row's aperture vertical with projecting plane W (3), and length is identical, and therefore, line model A (9) is a vertical profile line, belongs to the perpendicular line on projecting plane.Two suspension lines (7) of line model B (10) are positioned at top board (5) to be gone up on same row's aperture vertical with projecting plane W (3), but length is inequality, and therefore, line model B (10) is a frontal line, belongs to the parallel lines on projecting plane.It is thus clear that the length of adjustment suspension line (7) can change the relative position relation on line model and projecting plane.Two suspension lines (7) of line model C (11) are not isometric, and do not go up on vertical with projecting plane W (3) or vertical with projecting plane V (2) same row's aperture at top board (5), and therefore, line model C (11) is the general position straight line.
Among Fig. 5, right-angle triangle model D (12), right-angle triangle model E (13) and right-angle triangle model F (14) are provided with an aperture at three angle point places, can be fixed on the top board (5) through one, two or three suspension lines (7) and stopper (6).Through radical, length and the position on top board (5) of adjustment suspension line (7), can show the projection on projecting plane parallel surface, projecting plane vertical plane and the general position plane on each projecting plane.Right-angle triangle model D (12) adopts three suspension lines (7) fixing, and the length of three suspension lines (7) is all identical, and therefore, right-angle triangle model D (12) is a surface level, belongs to the parallel surface on projecting plane.Right-angle triangle model E (13) adopts three suspension lines (7) fixing; Wherein, two suspension lines (7) are isometric, and are positioned on upward vertical with projecting plane V (2) the same row's aperture of top board (5); The length of another root suspension line (7) is different with other two; Therefore, right-angle triangle model E (13) is a vertical frontal plane, belongs to the vertical plane on projecting plane.Right-angle triangle model F (14) adopts two suspension lines (7) fixing, and two suspension lines (7) are positioned at top board (5) to be gone up on same row's aperture parallel with projecting plane W (3), and therefore, right-angle triangle model F (14) is a side plane, belongs to the parallel surface on projecting plane.
Among Fig. 6, obtuse triangle model (15) all is provided with an aperture at three angle point a, b, c place, and d place, sideline bc middle part also is provided with an aperture, and has drawn line ad.On the aperture at a, d place, respectively hitch a suspension line (7), the length of two suspension lines (7) is identical, and two suspension lines (7) are not positioned at top board (5) to be gone up on vertical with projecting plane V (2) or vertical with projecting plane W (3) same row's aperture, and therefore, ad is a horizontal line.Then; Select the aperture at angle point b place to hitch a suspension line (7); When the length of the length of b place suspension line (7) and a, d place suspension line (7) is inequality; Obtuse triangle model (15) is the general position plane, but in this general position plane, comprises projecting plane specific position straight line, promptly comprises horizontal line ad on the obtuse triangle model (15).Projecting plane V1 (4) is placed between projecting plane H (1) and the top board (5); Make it perpendicular to projecting plane H (1), and make projecting plane V1 (4), then in new projecting plane system V1/H perpendicular to the line ad on the obtuse triangle model (15); Obtuse triangle model (15) is the vertical plane on projecting plane; Observe obtuse triangle model (15) from direction, can find that its projection on projecting plane V1 (4) is accumulated into straight line, embody and change the projection relation of face method perpendicular to projecting plane V1 (4).
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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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201210143906.XA CN102708732B (en) | 2012-05-07 | 2012-05-07 | Multifunctional three-side projection box and projection display method |
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201210143906.XA CN102708732B (en) | 2012-05-07 | 2012-05-07 | Multifunctional three-side projection box and projection display method |
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| Publication Number | Publication Date |
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| CN102708732A true CN102708732A (en) | 2012-10-03 |
| CN102708732B CN102708732B (en) | 2014-02-19 |
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104217642A (en) * | 2014-10-11 | 2014-12-17 | 长春工程学院 | Plane change method teaching aid presentation device |
| CN110047354A (en) * | 2019-03-22 | 2019-07-23 | 湖州师范学院 | A kind of linear projection's demenstration method |
| CN113160619A (en) * | 2021-03-18 | 2021-07-23 | 浙江万里学院 | Computer graphics teaching device |
Citations (5)
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| CN2091014U (en) * | 1990-08-07 | 1991-12-18 | 余忠 | Multifunctional projection demonstrator |
| CN2094777U (en) * | 1991-06-11 | 1992-01-29 | 温州市胜利教具厂 | Point line plane projection demonstration teaching aid |
| CN2118335U (en) * | 1992-04-07 | 1992-10-07 | 余忠 | Multifunctional point, line, plane projection demonstrating appliance |
| CN201868003U (en) * | 2010-11-13 | 2011-06-15 | 侯贻新 | Solid geometry projection box |
| CN202549111U (en) * | 2012-05-07 | 2012-11-21 | 山东科技大学 | Multifunctional three-face projection box |
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2012
- 2012-05-07 CN CN201210143906.XA patent/CN102708732B/en not_active Expired - Fee Related
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN2091014U (en) * | 1990-08-07 | 1991-12-18 | 余忠 | Multifunctional projection demonstrator |
| CN2094777U (en) * | 1991-06-11 | 1992-01-29 | 温州市胜利教具厂 | Point line plane projection demonstration teaching aid |
| CN2118335U (en) * | 1992-04-07 | 1992-10-07 | 余忠 | Multifunctional point, line, plane projection demonstrating appliance |
| CN201868003U (en) * | 2010-11-13 | 2011-06-15 | 侯贻新 | Solid geometry projection box |
| CN202549111U (en) * | 2012-05-07 | 2012-11-21 | 山东科技大学 | Multifunctional three-face projection box |
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104217642A (en) * | 2014-10-11 | 2014-12-17 | 长春工程学院 | Plane change method teaching aid presentation device |
| CN110047354A (en) * | 2019-03-22 | 2019-07-23 | 湖州师范学院 | A kind of linear projection's demenstration method |
| CN110047354B (en) * | 2019-03-22 | 2021-01-01 | 湖州师范学院 | Linear projection demonstration method |
| CN113160619A (en) * | 2021-03-18 | 2021-07-23 | 浙江万里学院 | Computer graphics teaching device |
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|---|---|
| CN102708732B (en) | 2014-02-19 |
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Granted publication date: 20140219 Termination date: 20180507 |