CN87203654U - Instructive model for teaching solid geometry - Google Patents
Instructive model for teaching solid geometry Download PDFInfo
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- CN87203654U CN87203654U CN 87203654 CN87203654U CN87203654U CN 87203654 U CN87203654 U CN 87203654U CN 87203654 CN87203654 CN 87203654 CN 87203654 U CN87203654 U CN 87203654U CN 87203654 U CN87203654 U CN 87203654U
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- solid geometry
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Abstract
The utility model discloses a multi-function demonstration model used for solid geometry, which is the model for teaching the geometry. The multi-function demonstration model used for solid geometry can solve the problems that because the basic concepts and the contents of the sections of the 'straight line and plane ' and ' polyhedron and regular polyhedron ' in the schoolbook are abstract, the students lack of the space concept, and no teaching appliances can be supplied observe, the two sections become the difficulties of the teaching; the multi-function demonstration model used for solid geometry can help the teaching of the analytic geometry. The multi-function demonstration model used for solid geometry assembles into a small observable space, the concepts and the pictures of the schoolbook are changed into the space model through the insertion piece being put into the small observable space and the wire being fixed in the small observable space, which causes the students to correctly understand and grasp the basic concepts and the contents through the observation and the analysis. The teacher let the student change the requirement of the teacher or the title or the plan view into the space model by themselves, which can bring up the logical thinking and the space imaginative power of the students.
Description
" use the solid geometry demonstrating model " is the several teaching apparatus more.
The solid geometry course is the basic subject of character, the technique of painting, calculating and the application thereof of the space diagram that constitutes of research space point, line, surface.In the solid geometry teaching of middle school, particularly " straight line and plane ", " polyhedral angle and polyhedron " part, because key concept and content are abstract, be difficult to understand (or on blackboard) drawn in the book planimetric map center line and the relation of the mutual alignment, space between line, line and plane and plane and the plane.Lack the teaching aid that is suitable for again and supply to observe, so always be the difficult point of middle school teaching.The teacher is representation space straight line and plane, often replaces with bamboo pin, cardboard.Just powerless for more complicated slightly figure.With reference to the relevant regulations of syllabus, the content of middle school solid geometry textbook and the teaching requirement of teaching reference book have manufactured and designed " using the solid geometry demonstrating model " application utility model patent of invention more.
The objective of the invention is to key concept, definition, theorem, teacher's the requirement and the word contents such as the meaning of exercise question are attempted to change into concrete space multistory figure with the plane.Make the student can its cathetus of Direct observation or (and) relative position relation, polyhedral angle and polyhedron etc. between the plane, thereby deepen understanding to rudimentary knowledge, grasp, cultivate logical thinking and space imagination, set up space, strengthen analysis the meaning of the question, solve a problem and knowledge figure ability.
The utility model mainly is made up of a top cover, four blocks of side plates and a base and some inserted sheets.Top cover and wherein two blocks of side plates be that colourless transparent material is made, other two blocks of side plates and base are made by the milky opaque material.When four blocks of side plates insert bases, and when covering top cover, form a cube capsule.On six walls of box corresponding hole is arranged, be used for threading.On the adjacent wall that three opaque materials of box are made and three adjacent ribs coordinate scale is arranged, represent X, Y, three coordinate axis of Z and coordinate plane respectively.Capsule has constituted one can be for the space cartesian coordinate system of observing.The inserted sheet of putting into box and the line that passes capsule are considered as space plane and straight line, can in box, constitute different space multistory geometric figures with some threading (or several inserted sheets).With such method, the relevant notion in the teaching can be attempted to change into solid figure analysis, observes and studied with content, exercise question and plane.
The similar design of the transparent capsule that the utility model design and existing employing are with cover three principal features of having compared:
1. transparent capsule with cover is adopted in existing design, and is not easy to operate during constructing graphic in capsule.Figure also can't increase boost line after in a single day constructing and having got well again in box.It all is independently that the utility model design team becomes six faces of cube capsule.Whether four blocks of side plates can insert base as required, bring great convenience for constitute space multistory geometric figure or space multistory geometric figure formation back increase boost line in box in box.Simultaneously,, model can be done greatly, both be convenient to observe, be convenient to operation again, and needn't consider the problem how student carries because model can dismounting.
2. when passing the hole of threading from the capsule wall of contemporary table space straight line in the existing design, be to be fixed on the box wall with the method for tiing a knot, in order not influence to the geometric observation of the space multistory that is constituted in the box, both required line is strained, require again knot is accomplished fluently, also will handle the problem of unnecessary the end of a thread well.Simultaneously, playing the line of tying can not reuse.Two blocks of side plates of the utility model design and base all adopt opaque material, have both given prominence to the space multistory geometric figure that is constituted in the box, have avoided the interference of the outer surplus line of box to figure in the observation box again.Have many breach on the base back surface reinforcement, the line that passes the hole from the box wall can be around being stuck in the breach to the base back side.Overcome the problem of threading tension, knotting, surplus the end of a thread with such design.Simultaneously, threading can also be reused.
3. the notion of regular polygon is by a positive triangular pyramid demonstration in the existing design.Because the limitation of model, the figure of important positive three terrace with edges, positive rectangular pyramid (platform), positive pentagonal pyramid notions such as (platforms) and relevant exercise question can't constitute in the teaching material.The utility model design constitutes positive triangular pyramid (platform), positive rectangular pyramid (platform), positive pentagonal pyramid (platform) and other various pyramids (platform) then by the method for certain position perforate on the box wall.The function that can demonstrate has increased, and model is simpler.Concerning manufacturer, cost and consumption have been reduced.Concerning usefulness person, handled easily with carry, also enlarged usable range.
In addition, the figure on the rectangle inserted sheet provides convenience for the student understands difficult note when learning cartesian geometry rectangular coordinate system---cylindrical coordinate---spherical coordinate system conversion.The usefulness that angle index on the triangle inserted sheet can supply the student to take measurement of an angle.
The present utility model, changed in the relevant straight line of solid geometry, plane, these teaching that are most important, the most difficult, the most basic, the most abstract content of courses again of regular polygon, lack teaching aid and gesticulate, by seeing the situation of desk angle, wall explanation by several bamboo pins, hard papers.Can constitute a space multistory figure, allow observation of students, analysis, and contrast with planimetric map.Both deepened understanding, and can set up logical thinking ability and space imagination better, more accurately, quickly again, and analyzed and deal with problems, learnt solid geometry well the rudimentary knowledge of being learned.
Accompanying drawing 1 is a regular cube capsule assembling synoptic diagram.
Accompanying drawing 2 is base rear views.
Accompanying drawing 3 is rectangle inserted sheet synoptic diagram.
Accompanying drawing 4 is equilateral triangle inserted sheet synoptic diagram.
When accompanying drawing 5 is the positive triangular pyramid of demonstration and relevant special triangle thereof in capsule (triangle of being made up of side height, height, bottom surface apothem) in box the synoptic diagram of threading and inserted sheet.Attention: utilized the groove on the base here.
Accompanying drawing 6 is synoptic diagram of demonstration face and space of planes relation in capsule.
This cover " multiplex solid geometry demonstration model " can adopt the manufacturing of injection moulding method, and inserted sheet can be made with process for stamping.
Claims (6)
1, the geometric figure demonstrating model of using in the solid geometry teaching of a kind of middle school, it has a cube capsule and inserted sheet, it is characterized in that:
A. described cube capsule is assembled into by a top cover, four blocks of side plates and base, and six faces all are independently,
B. wherein top cover and two blocks of side plates are that colourless transparent material is made, and other two blocks of side plates and base are made by opaque material,
C. described top cover, side plate and all porose above the base,
D. on the triangle inserted sheet angle index is arranged, on the rectangle inserted sheet graph line is arranged.
2, demonstrating model as claimed in claim 1 is characterized in that " pin " that can insert base all arranged on four blocks of side plates.
3, demonstrating model as claimed in claim 1 is characterized in that all there is the hole of matching with pin on the side plate on base four limits.
4, demonstrating model as claimed in claim 1 is characterized in that on the reinforcement of base back surface many breach being arranged.
5, demonstrating model as claimed in claim 1 is characterized in that the side plate that opaque material is made and has the coordinate scale line that aperture is connected together above the base.
6, demonstrating model as claimed in claim 1 is characterized in that triangle and rectangle inserted sheet are made of transparent material.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 87203654 CN87203654U (en) | 1987-03-18 | 1987-03-18 | Instructive model for teaching solid geometry |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 87203654 CN87203654U (en) | 1987-03-18 | 1987-03-18 | Instructive model for teaching solid geometry |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN87203654U true CN87203654U (en) | 1988-02-03 |
Family
ID=4819633
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN 87203654 Ceased CN87203654U (en) | 1987-03-18 | 1987-03-18 | Instructive model for teaching solid geometry |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN87203654U (en) |
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1909018B (en) * | 2006-08-11 | 2010-10-20 | 上海科普技术发展有限公司 | Solid and plane combined model |
| CN101872549A (en) * | 2010-06-12 | 2010-10-27 | 上海理工大学 | Electronic spatial thought model |
| CN105761583A (en) * | 2016-04-21 | 2016-07-13 | 李艳军 | Combined type solid geometry teaching instrument |
-
1987
- 1987-03-18 CN CN 87203654 patent/CN87203654U/en not_active Ceased
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1909018B (en) * | 2006-08-11 | 2010-10-20 | 上海科普技术发展有限公司 | Solid and plane combined model |
| CN101872549A (en) * | 2010-06-12 | 2010-10-27 | 上海理工大学 | Electronic spatial thought model |
| CN105761583A (en) * | 2016-04-21 | 2016-07-13 | 李艳军 | Combined type solid geometry teaching instrument |
| CN105761583B (en) * | 2016-04-21 | 2018-11-02 | 李艳军 | Assemblied stereo geometry teaching teaching appliance |
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Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C06 | Publication | ||
| PB01 | Publication | ||
| C14 | Grant of patent or utility model | ||
| GR01 | Patent grant | ||
| C17 | Cessation of patent right | ||
| CE01 | Termination of patent right |