CN105810051A - Triangular prism, triangular prismoid and triangular pyramid dynamic teaching aid - Google Patents
Triangular prism, triangular prismoid and triangular pyramid dynamic teaching aid Download PDFInfo
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- CN105810051A CN105810051A CN201610346367.8A CN201610346367A CN105810051A CN 105810051 A CN105810051 A CN 105810051A CN 201610346367 A CN201610346367 A CN 201610346367A CN 105810051 A CN105810051 A CN 105810051A
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- upper plate
- base plate
- universal joint
- lower shoe
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- G—PHYSICS
- G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
- G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
- G09B23/00—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
- G09B23/02—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for mathematics
- G09B23/04—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for mathematics for geometry, trigonometry, projection or perspective
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Abstract
The invention discloses a triangular prism, triangular prismoid and triangular pyramid dynamic teaching aid, which comprises a lower base plate and an upper base plate, wherein the lower base plate and the upper base plate are parallel; the lower base plate is an equilateral triangle which is S1 in area, and the upper base plate is an equilateral triangle which is variable in area; the maximum area of the upper base plate is S2, and S1 is equal to S2; the lower base plate and the upper base plate are connected by virtue of three lateral prismatic rods, and both the lower base plate and the upper base plate are movably connected to the lateral prismatic rods; included angles between the lateral prismatic rods and the lower base plate as well as included angles between the lateral prismatic rods and the upper base plate are adjustable; the lateral prismatic rods can stretch movably; and the three lateral prismatic rods, by stretching movably, are intersected on a point. By virtue of the dynamic teaching aid disclosed by the invention, mutual conversion among three-dimensional geometric figures can be achieved, so that relations and differences of the various three-dimensional geometric figures are vividly displayed; through dynamic change and by finding a balance in the dynamic change, specific spatial geometric figures are generated, so that students' understanding of different three-dimensional geometric figures is deepened, and a process of knowledge generation is shown; and by virtue of the dynamic teaching aid, teachers can teach students spatial three-dimensional geometries vividly, and the students can understand easily.
Description
Technical field
The present invention relates to mathematics teaching aid, be specifically related to a kind of triangular prism three dynamic teaching aid of terrace with edge triangular pyramid.
Background technology
The structure of " regular senior secondary school's curricular standard laboratory textbooks mathematics " required 2 chapter 1 space geometric froms relates to the solid geometry figures such as prism, terrace with edge, pyramid, existing teaching aid structure is fixed, all can not realize the mutual conversion between different solid geometry figure (triangular prism, three terrace with edges, triangular pyramid), the demonstration of its respective generation process and nature and characteristic thereof cannot be embodied, also cannot embody the contact between them；Student is comparatively isolated to the cognition of each solid geometry figure.
Summary of the invention
The technical problem to be solved is, overcomes the deficiency of above-mentioned background technology, it is provided that a kind of teaching is vivid, it is simple to the triangular prism three dynamic teaching aid of terrace with edge triangular pyramid that student understands.
This invention address that its technical problem employed technical scheme comprise that, a kind of triangular prism three dynamic teaching aid of terrace with edge triangular pyramid, including lower shoe and upper plate, described lower shoe is parallel with upper plate, and lower shoe is equilateral triangle, and area is S1, upper plate is the equilateral triangle of variable area, and maximum area is S2, S1=S2；Lower shoe and upper plate are connected by three incline bars, lower shoe and upper plate are all flexibly connected with incline bar, incline bar is adjustable with the angle of lower shoe and upper plate, incline bar movable telescopic, and the size regulating upper plate can make three incline bars be met at a bit by movable telescopic.
Further, the top of described incline bar is coniform, and the shaft section drift angle of circular cone is less than 180 degree.
Further, described upper plate is made up of upper upper plate, middle upper plate and lower upper plate, and described upper upper plate, middle upper plate and lower upper plate are equilateral triangle, and the area of upper upper plate, middle upper plate and lower upper plate is SH,S1≤SH< S1, upper upper plate, middle upper plate and lower upper plate are superimposed and remain the equilateral triangle of variable area, and the area of the equilateral triangle of variable area is ST, SH≤ST≤S1；It is flexibly connected by slide rail between upper upper plate, middle upper plate and lower upper plate, regulates upper upper plate, registration between middle upper plate and lower upper plate by slide rail；Two waists of described upper upper plate are equipped with external slideway；One waist of described middle upper plate is provided with inner slide, and going to the bottom of middle upper plate is provided with external slideway；One waist of described lower upper plate is provided with inner slide, and the going to the bottom of lower upper plate also is provided with inner slide.
Further, three apex of described lower shoe are equipped with universal joint, three apex of upper plate are equipped with universal joint, and one end of described incline bar is connected with lower shoe by universal joint, and the other end of described incline bar is connected with upper plate by universal joint.
Further, it is additionally provided with brake unit between described universal joint and lower shoe/upper plate, described brake unit includes cylinder, and cylinder body bottom is provided with screw, and the screw rod end of screw screws in cylinder, brake component and elastic component it is provided with in described cylinder, the bottom of described brake component is provided with groove, and top caves inward in cambered surface, the screw rod end in contact of described elastic component one end and screw, the other end is placed in the bottom groove of brake component, and described universal joint is positioned at the cambered surface at elastic component top.
Compared with prior art, advantages of the present invention is as follows: can realize the mutual conversion between solid geometry figure (straight triangular prism, oblique triangular prism, three terrace with edges, triangular pyramid and concave polyhedron), represent the contact between different solid geometry figure and difference vividly；By dynamic change, in dynamically change, find balance, generate specific space geometry figure, deepen student's understanding to different solid geometry figures, present the generation process of knowledge, it is simple to teacher's teaching to space multistory solid, vivid, it is simple to student understands.
Accompanying drawing explanation
Fig. 1 is the embodiment of the present invention is the structural representation of straight triangular prism state.
Fig. 2 is the structural representation of the lower shoe of embodiment illustrated in fig. 1.
Fig. 3 is the structural representation of the brake unit of embodiment illustrated in fig. 1.
Fig. 4 is embodiment illustrated in fig. 1 is the structural representation of oblique triangular prism state.
Fig. 5 is embodiment illustrated in fig. 1 is the structural representation of three prism-frustum-shaped states.
Fig. 6 is embodiment illustrated in fig. 1 is the structural representation of triangular pyramid state.
Fig. 7 is embodiment illustrated in fig. 1 is the structural representation of concave polyhedron state.
Detailed description of the invention
Below in conjunction with drawings and the specific embodiments, the present invention is described in further detail.
With reference to Fig. 1, the present embodiment includes lower shoe 1 and upper plate 2, and lower shoe 1 is parallel with upper plate 2, and lower shoe 1 is equilateral triangle, and area is S1, upper plate 2 is the equilateral triangle of variable area, and maximum area is S2, S1=S2；Lower shoe 1 and upper plate 2 are connected by three incline bars 3, lower shoe 1 and upper plate 2 are all flexibly connected with incline bar 3, and incline bar 3 is adjustable with the angle of lower shoe 1 and upper plate 2, incline bar 3 movable telescopic, the top of incline bar 3 is coniform, and the shaft section drift angle of circular cone is less than 180 degree；The size regulating upper plate 2 can make three incline bars 3 be met at a bit by movable telescopic.
With reference to Fig. 2, upper plate 2 is made up of upper upper plate 2-1, middle upper plate 2-2 and lower upper plate 2-3, and upper upper plate 2-1, middle upper plate 2-2 and lower upper plate 2-3 are equilateral triangle, and the area of upper upper plate 2-1, middle upper plate 2-2 and lower upper plate 2-3 is SH,S1≤SH< S1, upper upper plate 2-1, middle upper plate 2-2 and lower upper plate 2-3 are superimposed and remain the equilateral triangle of variable area, and the area of the equilateral triangle of variable area is ST, SH≤ST≤S1；It is flexibly connected by slide rail between upper upper plate 2-1, middle upper plate 2-2 and lower upper plate 2-3, regulates upper registration between upper plate 2-1, middle upper plate 2-2 and lower upper plate 2-3 by slide rail；Two waists of upper upper plate 2-1 are equipped with external slideway；One waist of middle upper plate 2-2 is provided with inner slide, and middle going to the bottom of upper plate 2-2 is provided with external slideway；One waist of lower upper plate 2-3 is provided with inner slide, and the going to the bottom of lower upper plate 2-3 also is provided with inner slide.
Three apex of lower shoe 1 are equipped with universal joint, and three apex of upper plate 2 are equipped with universal joint, and one end of incline bar 3 is connected with lower shoe 1 by universal joint, and the other end of incline bar 3 is connected with upper plate 2 by universal joint.
It is additionally provided with brake unit 4 between universal joint and lower shoe 1/ upper plate 2, with reference to Fig. 3, brake unit 4 includes cylinder 4-1, screw 4-2 it is provided with bottom cylinder 4-1, the screw rod end of screw 4-2 screws in cylinder 4-1, brake component 4-4 and elastic component 4-3 it is provided with in cylinder 4-1, the bottom of brake component 4-4 is provided with groove, top caves inward in cambered surface, the screw rod end in contact of elastic component 4-3 one end and screw 4-2, the other end is placed in the bottom groove of brake component 4-4, and universal joint is positioned at the cambered surface at elastic component 4-3 top.Universal joint can be braked by brake unit 4, it is prevented that universal joint joint cannot be fixed excessively flexibly.
The dynamic teaching aid of the present invention can realize straight triangular prism, oblique triangular prism, three terrace with edges, conversion between triangular pyramid and concave polyhedron, and transformation process is as follows:
With reference to Fig. 1, straight triangular prism: make the upper upper plate 2-1 of upper plate 2, middle upper plate 2-2 and lower upper plate 2-3 fully deployed by slide rail, i.e. ST=S1, now, the area equation of upper plate 2 and lower shoe 1, adjust three incline bars 3, make three incline bars 3 highly equal, make three incline bars 3 with the angle of upper plate 2 and lower shoe 1 equal to 90 degree (namely three incline bars 3 are vertical with upper plate 2 and lower shoe 1), now form straight triangular prism.
With reference to Fig. 4, oblique triangular prism: on the basis of straight triangular prism, adjust the angle of three incline bars 3 and upper plate 2 and lower shoe 1, make the angle of incline bar 3 and upper plate 2 and lower shoe 1 be not equal to 90 degree, now form oblique triangular prism.
With reference to Fig. 5, three terrace with edges: on the basis of straight triangular prism, adjust the area of upper plate 2, make the upper upper plate 2-1 of upper plate 2, middle upper plate 2-2 and lower upper plate 2-3 overlap gradually, i.e. ST< S1, now form three terrace with edges (need to ensure that three incline bars 3 meet at a bit).
With reference to Fig. 6, triangular pyramid: on the basis of three terrace with edges, adjust the length of incline bar 3, make three incline bars 3 intersect at a point, now form triangular pyramid.
With reference to Fig. 7, concave polyhedron: on the basis of oblique triangular prism, adjust the angle of three incline bars 3 and upper plate 2 and lower shoe 1, upper plate 2 is rotated, and keeps upper plate 2 parallel with lower shoe 1 or not parallel, now form concave polyhedron.
Activity teaching aid of the present invention can realize the mutual conversion between different solid geometry figure (straight triangular prism, oblique triangular prism, three terrace with edges, triangular pyramid and concave polyhedron), represents the contact between different solid geometry figure and difference vividly；By dynamic change, in dynamically change, find balance, generate specific space geometry figure, deepen student's understanding to different solid geometry figures, present the generation process of knowledge, it is simple to teacher's teaching to space multistory solid, the convenient image of teaching, it is simple to student understands.
Activity teaching aid of the present invention also acts as educational toy for children.
The present invention can be carried out various modifications and variations by those skilled in the art, if these amendments and modification are within the scope of the claims in the present invention and equivalent technologies thereof, then these amendments and modification are also within protection scope of the present invention.
The prior art that the content not being described in detail in description is known to the skilled person.
Claims (6)
1. the triangular prism three dynamic teaching aid of terrace with edge triangular pyramid, it is characterised in that: including lower shoe (1) and upper plate (2), described lower shoe (1) is parallel with upper plate (2), and lower shoe (1) is equilateral triangle, and area is S1, equilateral triangle that upper plate (2) is variable area, maximum area is S2, S1=S2；Lower shoe (1) and upper plate (2) are connected by three incline bars (3), lower shoe (1) and upper plate (2) are all flexibly connected with incline bar (3), incline bar (3) is adjustable with the angle of lower shoe (1) and upper plate (2), incline bar (3) movable telescopic, the size regulating upper plate (2) can make three incline bars (3) be met at a bit by movable telescopic.
2. the triangular prism three dynamic teaching aid of terrace with edge triangular pyramid as claimed in claim 1, it is characterised in that: the top of described incline bar (3) is coniform, and the shaft section drift angle of circular cone is less than 180 degree.
3. the triangular prism three dynamic teaching aid of terrace with edge triangular pyramid as claimed in claim 1 or 2, it is characterized in that: described upper plate (2) is made up of upper upper plate (2-1), middle upper plate (2-2) and lower upper plate (2-3), described upper upper plate (2-1), middle upper plate (2-2) and lower upper plate (2-3) are equilateral triangle, and the area of upper upper plate (2-1), middle upper plate (2-2) and lower upper plate (2-3) is SH,S1≤SH< S1, upper upper plate (2-1), middle upper plate (2-2) and lower upper plate (2-3) are superimposed and remain the equilateral triangle of variable area, and the area of the equilateral triangle of variable area is ST, SH≤ST≤S1；It is flexibly connected by slide rail between upper upper plate (2-1), middle upper plate (2-2) and lower upper plate (2-3), regulates upper upper plate (2-1), registration between middle upper plate (2-2) and lower upper plate (2-3) by slide rail；Two waists of described upper upper plate (2-1) are equipped with external slideway；One waist of described middle upper plate (2-2) is provided with inner slide, and going to the bottom of middle upper plate (2-2) is provided with external slideway；One waist of described lower upper plate (2-3) is provided with inner slide, and the going to the bottom of lower upper plate (2-3) also is provided with inner slide.
4. the triangular prism three dynamic teaching aid of terrace with edge triangular pyramid as claimed in claim 1 or 2, it is characterized in that: three apex of described lower shoe (1) are equipped with universal joint, three apex of upper plate (2) are equipped with universal joint, one end of described incline bar (3) is connected with lower shoe (1) by universal joint, and the other end of described incline bar (3) is connected with upper plate (2) by universal joint.
5. the triangular prism three dynamic teaching aid of terrace with edge triangular pyramid as claimed in claim 3, it is characterized in that: three apex of described lower shoe (1) are equipped with universal joint, three apex of upper plate (2) are equipped with universal joint, one end of described incline bar (3) is connected with lower shoe (1) by universal joint, and the other end of described incline bar (3) is connected with upper plate (2) by universal joint.
6. the triangular prism three dynamic teaching aid of terrace with edge triangular pyramid as claimed in claim 4, it is characterized in that: between described universal joint and lower shoe (1)/upper plate (2), be additionally provided with brake unit (4), described brake unit (4) includes cylinder (4-1), cylinder (4-1) bottom is provided with screw (4-2), the screw rod end of screw (4-2) screws in cylinder (4-1), brake component (4-4) and elastic component (4-3) it is provided with in described cylinder (4-1), the bottom of described brake component (4-4) is provided with groove, top caves inward in cambered surface, the screw rod end in contact of described elastic component (4-3) one end and screw (4-2), the other end is placed in the bottom groove of brake component (4-4), described universal joint is positioned at the cambered surface at elastic component (4-3) top.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201610346367.8A CN105810051B (en) | 2016-05-24 | 2016-05-24 | A kind of triangular prism triangular platform triangular pyramid dynamic teaching aid |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201610346367.8A CN105810051B (en) | 2016-05-24 | 2016-05-24 | A kind of triangular prism triangular platform triangular pyramid dynamic teaching aid |
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| Publication Number | Publication Date |
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| CN105810051A true CN105810051A (en) | 2016-07-27 |
| CN105810051B CN105810051B (en) | 2019-01-08 |
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| Application Number | Title | Priority Date | Filing Date |
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| CN201610346367.8A Active CN105810051B (en) | 2016-05-24 | 2016-05-24 | A kind of triangular prism triangular platform triangular pyramid dynamic teaching aid |
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| US6145837A (en) * | 1998-08-28 | 2000-11-14 | A. Daigger And Company, Inc. | Three-dimensional geometric puzzle |
| CN2911298Y (en) * | 2005-12-05 | 2007-06-13 | 曲锰 | Mechanical force driven universal knuckle |
| CN200941903Y (en) * | 2006-08-15 | 2007-09-05 | 徐国芳 | Stretchable desk |
| CN101280810A (en) * | 2008-04-25 | 2008-10-08 | 奇瑞汽车股份有限公司 | Constant velocity universal joint |
| CN201452051U (en) * | 2009-07-01 | 2010-05-12 | 谢超 | Telescopic table |
| CN201888435U (en) * | 2010-11-03 | 2011-07-06 | 胡启三 | Deformable table |
| JP2011145634A (en) * | 2010-01-14 | 2011-07-28 | Toshihiko Osakabe | Rectangular parallelepiped changing into regular n-polygon prism |
| CN202373207U (en) * | 2011-12-23 | 2012-08-08 | 袁建峰 | Triangle demonstration aid |
| CN204526642U (en) * | 2015-04-15 | 2015-08-05 | 浙江源创电子科技有限公司 | A kind of orientable cardan wheel |
| CN205984020U (en) * | 2016-05-24 | 2017-02-22 | 段贤清 | Three terrace with edge triangular pyramids of triangular prism developments teaching aid |
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2016
- 2016-05-24 CN CN201610346367.8A patent/CN105810051B/en active Active
Patent Citations (12)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN2043292U (en) * | 1988-08-10 | 1989-08-23 | 谢治中 | All-plastic adjustable brake universal castor |
| CN2240759Y (en) * | 1995-07-03 | 1996-11-20 | 吴清凉 | Drawing-bar universal multi-function solid-geometry teaching appliance |
| US6145837A (en) * | 1998-08-28 | 2000-11-14 | A. Daigger And Company, Inc. | Three-dimensional geometric puzzle |
| CN2911298Y (en) * | 2005-12-05 | 2007-06-13 | 曲锰 | Mechanical force driven universal knuckle |
| CN200941903Y (en) * | 2006-08-15 | 2007-09-05 | 徐国芳 | Stretchable desk |
| CN101280810A (en) * | 2008-04-25 | 2008-10-08 | 奇瑞汽车股份有限公司 | Constant velocity universal joint |
| CN201452051U (en) * | 2009-07-01 | 2010-05-12 | 谢超 | Telescopic table |
| JP2011145634A (en) * | 2010-01-14 | 2011-07-28 | Toshihiko Osakabe | Rectangular parallelepiped changing into regular n-polygon prism |
| CN201888435U (en) * | 2010-11-03 | 2011-07-06 | 胡启三 | Deformable table |
| CN202373207U (en) * | 2011-12-23 | 2012-08-08 | 袁建峰 | Triangle demonstration aid |
| CN204526642U (en) * | 2015-04-15 | 2015-08-05 | 浙江源创电子科技有限公司 | A kind of orientable cardan wheel |
| CN205984020U (en) * | 2016-05-24 | 2017-02-22 | 段贤清 | Three terrace with edge triangular pyramids of triangular prism developments teaching aid |
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| Publication number | Publication date |
|---|---|
| CN105810051B (en) | 2019-01-08 |
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