CN105810051B - A kind of triangular prism triangular platform triangular pyramid dynamic teaching aid - Google Patents
A kind of triangular prism triangular platform triangular pyramid dynamic teaching aid Download PDFInfo
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- CN105810051B CN105810051B CN201610346367.8A CN201610346367A CN105810051B CN 105810051 B CN105810051 B CN 105810051B CN 201610346367 A CN201610346367 A CN 201610346367A CN 105810051 B CN105810051 B CN 105810051B
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- upper plate
- plate
- triangular
- incline
- lower plate
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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
Abstract
A kind of triangular prism triangular platform triangular pyramid dynamic teaching aid, including lower plate and upper plate, lower plate is parallel with upper plate, and lower plate is equilateral triangle, area S1, upper plate is the equilateral triangle of variable area, maximum area S2, S1=S2；Lower plate is connected with upper plate by three incline bars, and lower plate and upper plate are flexibly connected with incline bar, and incline bar and the angle of lower plate and upper plate are adjustable, incline bar movable telescopic, and three incline bars can be met at a bit by movable telescopic.The mutual conversion between three-dimensional geometrical figure can be achieved in the present invention, shows the connection and difference between different three-dimensional geometrical figures vividly；By dynamic change, balance is found in dynamic change, generates specific space geometry figure；Deepen understanding of the student to different three-dimensional geometrical figures, present the generating process of knowledge, the teaching convenient for teacher to space multistory solid is vivid, understands convenient for student.
Description
Technical field
The present invention relates to mathematics teaching aids, are specifically related to a kind of triangular prism triangular platform triangular pyramid dynamic teaching aid.
Background technique
The structure of " regular senior secondary school's curricular standard laboratory textbooks mathematics " required 2 chapter 1 space geometric from is related to rib
The three-dimensional geometrical figures such as column, terrace with edge, pyramid, existing teaching aid structure are fixed, and all can not achieve different three-dimensional geometrical figure (trigones
Column, triangular platform, triangular pyramid) between mutual conversion, the demonstration of its respective generating process and its nature and characteristic can not be embodied,
The connection between them can not be embodied；Student is more isolated to the cognition of each three-dimensional geometrical figure.
Summary of the invention
The technical problem to be solved by the present invention is to overcome the shortcomings of above-mentioned background technique, provide a kind of lively shape of teaching
As the triangular prism triangular platform triangular pyramid dynamic teaching aid understood convenient for student.
The technical solution used to solve the technical problems of the present invention is that a kind of triangular prism triangular platform triangular pyramid dynamic teaching aid,
Including lower plate and upper plate, the lower plate is parallel with upper plate, and lower plate is equilateral triangle, area S1, upper plate
For the equilateral triangle of variable area, maximum area S2, S1=S2；Lower plate is connected with upper plate by three incline bars, under
Bottom plate and upper plate are flexibly connected with incline bar, and incline bar and the angle of lower plate and upper plate are adjustable, and incline bar is movable
Flexible, the size for adjusting upper plate can be such that three incline bars meet at a bit by movable telescopic.
Further, the top of the incline bar is in coniform, and the shaft section apex angle of circular cone is less than 180 degree.
Further, the upper plate is made of upper upper plate, middle upper plate and lower upper plate, the upper upper plate, on
Bottom 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 be superimposed and remain the equilateral triangle of variable area, and area can
The area of the equilateral triangle of change is ST, SH≤ST≤S1；It is living by sliding rail between upper upper plate, middle upper plate and lower upper plate
Dynamic connection adjusts upper registration between upper plate, middle upper plate and lower upper plate by sliding rail；Two waists of the upper upper plate
On be equipped with external slideway；One waist of the middle upper plate is equipped with inner slide, and the bottom of middle upper plate is equipped with external slideway；Institute
A waist for stating lower upper plate is equipped with inner slide, also is provided with inner slide on the bottom of lower upper plate.
Further, three apexes of the lower plate are equipped with universal joint, and three apexes of upper plate are equipped with
One end of universal joint, the incline bar is connect by universal joint with lower plate, and the other end of the incline bar passes through universal
Connector is connect with upper plate.
Further, brake apparatus is additionally provided between the universal joint and lower plate/upper plate, the brake apparatus includes
Cylinder, cylinder body bottom are equipped with screw, and the screw rod end of screw screws in cylinder, and brake component and elastic component are equipped in the cylinder, described
The bottom of brake component is equipped with groove, and top is recessed inwardly in cambered surface, and the screw rod end in contact of described elastic component one end and screw is another
End is placed in the bottom groove of brake component, and the universal joint is located in the cambered surface at the top of brake component.
Compared with prior art, advantages of the present invention is as follows: can be achieved three-dimensional geometrical figure (straight triangular prism, oblique triangular prism,
Triangular platform, triangular pyramid and concave polyhedron) between mutual conversion, show the connection between different three-dimensional geometrical figures vividly
System and difference；By dynamic change, balance is found in dynamic change, generates specific space geometry figure, deepens student couple
The understanding of different three-dimensional geometrical figures presents the generating process of knowledge, the teaching convenient for teacher to space multistory solid, raw
Dynamic image, understands convenient for student.
Detailed description of the invention
Fig. 1 is the structural schematic diagram that the embodiment of the present invention is in straight triangular prism state.
Fig. 2 is the structural schematic diagram of the upper plate of embodiment illustrated in fig. 1.
Fig. 3 is the structural schematic diagram of the brake apparatus of embodiment illustrated in fig. 1.
Fig. 4 is the structural schematic diagram that embodiment illustrated in fig. 1 is in oblique triangular prism state.
Fig. 5 is the structural schematic diagram that embodiment illustrated in fig. 1 is in triangular platform state.
Fig. 6 is the structural schematic diagram that embodiment illustrated in fig. 1 is in triangular pyramid state.
Fig. 7 is the structural schematic diagram that embodiment illustrated in fig. 1 is in concave polyhedron state.
Specific embodiment
With reference to the accompanying drawing and specific embodiment present invention is further described in detail.
Referring to Fig.1, the present embodiment includes lower plate 1 and upper plate 2, and lower plate 1 is parallel with upper plate 2, and lower plate 1 is etc.
Side triangle, area S1, upper plate 2 is the equilateral triangle of variable area, maximum area S2, S1=S2；Lower plate 1 and upper
Bottom plate 2 is connected by three incline bars 3, and lower plate 1 and upper plate 2 are flexibly connected with incline bar 3, incline bar 3 and lower plate 1
Adjustable with the angle of upper plate 2,3 movable telescopic of incline bar, the top of incline bar 3 is in coniform, the shaft section apex angle of circular cone
Less than 180 degree；The size for adjusting upper plate 2 can be such that three incline bars 3 meet at a bit by movable telescopic.
Referring to Fig. 2, upper plate 2 is made of upper upper plate 2-1, middle upper plate 2-2 and lower upper plate 2-3, upper upper plate 2-
1, middle upper plate 2-2 and lower upper plate 2-3 is equilateral triangle, upper upper plate 2-1, middle upper plate 2-2 and lower upper plate 2-3
Area be SH,S1≤SH< S1, upper upper plate 2-1, middle upper plate 2-2 and lower upper plate 2-3 are superimposed and protect always
The equilateral triangle for variable area is held, the area of the equilateral triangle of variable area is ST, SH≤ST≤S1；Upper upper plate 2-
1, be flexibly connected between middle upper plate 2-2 and lower upper plate 2-3 by sliding rail, by sliding rail adjust upper upper plate 2-1, in upper bottom
Registration between plate 2-2 and lower upper plate 2-3；External slideway is equipped on two waists of upper upper plate 2-1；Middle upper plate 2-2's
One waist is equipped with inner slide, and the bottom of middle upper plate 2-2 is equipped with external slideway；A waist of lower upper plate 2-3 is equipped with interior
Slideway also is provided with inner slide on the bottom of lower upper plate 2-3.
Three apexes of lower plate 1 are equipped with universal joint, and three apexes of upper plate 2 are equipped with universal joint,
One end of incline bar 3 is connect by universal joint with lower plate 1, and the other end of incline bar 3 is connected by universal joint and upper plate 2
It connects.
Brake apparatus 4 is additionally provided between 1/ upper plate 2 of universal joint and lower plate, referring to Fig. 3, brake apparatus 4 includes cylinder
Body 4-1, the bottom cylinder 4-1 are equipped with screw 4-2, and the screw rod end of screw 4-2 screws in cylinder 4-1, and brake component is equipped in cylinder 4-1
The bottom of 4-4 and elastic component 4-3, brake component 4-4 are equipped with groove, and top is recessed inwardly in cambered surface, the one end elastic component 4-3 and screw
The screw rod end in contact of 4-2, the other end are placed in the bottom groove of brake component 4-4, and universal joint is located at the arc at the top of brake component 4-4
In face.Brake apparatus 4 can brake universal joint, prevent universal joint connector from excessively can not flexibly fix.
Dynamic teaching aid of the present invention can be realized to be turned between straight triangular prism, oblique triangular prism, triangular platform, triangular pyramid and concave polyhedron
It changes, conversion process is as follows:
Referring to Fig.1, straight triangular prism: upper upper plate 2-1, the middle upper plate 2-2 and lower upper plate 2-3 for making upper plate 2 are by cunning
Rail is fully deployed, i.e. ST=S1, at this point, the area equation of upper plate 2 and lower plate 1, adjusts three incline bars 3, make three inclines
3 height of bar is equal, and the angle of three incline bars 3 and upper plate 2 and lower plate 1 is made to be equal to 90 degree of (i.e. three incline bars 3 and upper bottoms
Plate 2 and lower plate 1 are vertical), straight triangular prism is formed at this time.
Referring to Fig. 4, oblique triangular prism: on the basis of straight triangular prism, three incline bars 3 and upper plate 2 and lower plate 1 are adjusted
Angle, make the angle of incline bar 3 and upper plate 2 and lower plate 1 not equal to 90 degree, form oblique triangular prism at this time.
Referring to Fig. 5, triangular platform: on the basis of straight triangular prism, the area of upper plate 2 is adjusted, the upper bottom of upper plate 2 is made
Plate 2-1, middle upper plate 2-2 and lower upper plate 2-3 are gradually overlapped, i.e. ST< S1, forming triangular platform at this time (need to guarantee three inclines
Bar 3 is met at a bit).
Referring to Fig. 6, triangular pyramid: on the basis of triangular platform, the length of incline bar 3 is adjusted, three incline bars 3 are intersected at
A bit, triangular pyramid is formed at this time.
Referring to Fig. 7, concave polyhedron: on the basis of oblique triangular prism, three incline bars 3 and upper plate 2 and lower plate 1 are adjusted
Angle, upper plate 2 is rotated, and keep upper plate 2 parallel or not parallel with lower plate 1, forms concave polyhedron at this time.
Activity teaching aid of the invention can realize different three-dimensional geometrical figure (straight triangular prism, oblique triangular prism, triangular platforms, triangular pyramid
And concave polyhedron) between mutual conversion, show the connection and difference between different three-dimensional geometrical figures vividly；Pass through
Dynamic change finds balance in dynamic change, generates specific space geometry figure, deepens student to different solid geometry figures
The understanding of shape presents the generating process of knowledge, the teaching convenient for teacher to space multistory solid, and teaching facilitates image, just
Understand in student.
Activity teaching aid of the invention also acts as educational toy for children.
Those skilled in the art can carry out various modifications to the present invention and modification, if these modifications and variations are at this
Within the scope of invention claim and its equivalent technologies, then these modifications and variations are also within protection scope of the present invention.
The prior art that the content being not described in detail in specification is known to the skilled person.
Claims (4)
1. a kind of triangular prism triangular platform triangular pyramid dynamic teaching aid, it is characterised in that: described including lower plate (1) and upper plate (2)
Lower plate (1) is parallel with upper plate (2), and lower plate (1) is equilateral triangle, area S1, upper plate (2) is variable area
Equilateral triangle, maximum area S2, S1=S2；Lower plate (1) and upper plate (2) pass through three incline bar (3) connections, lower plate
(1) it is flexibly connected with incline bar (3) with upper plate (2), the angle of incline bar (3) and lower plate (1) and upper plate (2) can
It adjusts, incline bar (3) movable telescopic, the size for adjusting upper plate (2) can be such that three incline bars (3) hand over by movable telescopic
In a bit；The upper plate (2) is made of upper upper plate (2-1), middle upper plate (2-2) and lower upper plate (2-3), described upper
Bottom plate (2-1), middle upper plate (2-2) and lower upper plate (2-3) are equilateral triangle, upper upper plate (2-1), middle upper plate
The area of (2-2) and lower upper plate (2-3) is SH,S1≤SH< S1, upper upper plate (2-1), middle upper plate (2-2) and it is lower on
Bottom plate (2-3), which is superimposed, remains the equilateral triangle of variable area, the area of the equilateral triangle of variable area
For ST, SH≤ST≤S1；Connected between upper upper plate (2-1), middle upper plate (2-2) and lower upper plate (2-3) by sliding rail activity
It connects, the above registration between upper plate (2-1), middle upper plate (2-2) and lower upper plate (2-3) is adjusted by sliding rail；On described
External slideway is equipped on two waists of upper plate (2-1)；One waist of the middle upper plate (2-2) is equipped with inner slide, in upper bottom
The bottom of plate (2-2) is equipped with external slideway；One waist of the lower upper plate (2-3) is equipped with inner slide, lower upper plate (2-3)
Bottom on also be provided with inner slide.
2. triangular prism triangular platform triangular pyramid dynamic teaching aid as described in claim 1, it is characterised in that: the incline bar (3)
In coniform, the shaft section apex angle of circular cone is less than 180 degree at top.
3. triangular prism triangular platform triangular pyramid dynamic teaching aid as claimed in claim 1 or 2, it is characterised in that: the lower plate (1)
Three apexes be equipped with universal joint, three apexes of upper plate (2) are equipped with universal joint, the incline bar (3)
One end connect with lower plate (1) by universal joint, the other end of the incline bar (3) passes through universal joint and upper plate
(2) it connects.
4. triangular prism triangular platform triangular pyramid dynamic teaching aid as claimed in claim 3, it is characterised in that: the universal joint is under
It is additionally provided with brake apparatus (4) between bottom plate (1)/upper plate (2), the brake apparatus (4) includes cylinder (4-1), cylinder (4-1)
Bottom is equipped with screw (4-2), and the screw rod end of screw (4-2) screws in cylinder (4-1), and brake component is equipped in the cylinder (4-1)
The bottom of (4-4) and elastic component (4-3), the brake component (4-4) is equipped with groove, and top is recessed inwardly in cambered surface, the elasticity
The screw rod end in contact of part one end (4-3) and screw (4-2), the other end are placed in the bottom groove of brake component (4-4), described universal
Connector is located in the cambered surface at the top of brake component (4-4).
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 |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN105810051A CN105810051A (en) | 2016-07-27 |
| CN105810051B true CN105810051B (en) | 2019-01-08 |
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ID=56452712
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| 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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| CN (1) | CN105810051B (en) |
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| 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 |
Family Cites Families (2)
| 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 |
| CN2911298Y (en) * | 2005-12-05 | 2007-06-13 | 曲锰 | Mechanical force driven universal knuckle |
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- 2016-05-24 CN CN201610346367.8A patent/CN105810051B/en active Active
Patent Citations (10)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| 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 |
| 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 |
|---|---|
| CN105810051A (en) | 2016-07-27 |
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