CN203825886U - Mathematic stereo model combination teaching aid for students - Google Patents
Mathematic stereo model combination teaching aid for students Download PDFInfo
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- CN203825886U CN203825886U CN201420233872.8U CN201420233872U CN203825886U CN 203825886 U CN203825886 U CN 203825886U CN 201420233872 U CN201420233872 U CN 201420233872U CN 203825886 U CN203825886 U CN 203825886U
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Abstract
The utility model provides a mathematic stereo model combination teaching aid for students, comprising a cuboid model, two pairs of triangle plate models, a right-angle triangular prism model, three quadrangular frustum pyramid models and a cube model; a triangular prism model and two circular column models are embedded in the cuboid model and the surfaces of the triangular prism model and the circular column models are flushed with the surface of the cuboid model; a sphere body model is positioned between the two circular column models; the 45-degree triangle plate models and the 30-degree triangle plate models are in full contact with the sides of the cuboid model after docking; the three quadrangular frustum pyramid models are a isosceles frustum pyramid model and a first frustum pyramid model and a second frustum pyramid model, and the quadrangular frustum pyramid models and the cube model form a right-angle combined frustum pyramid by arranging in series; a circular truncated model is embedded in the cube model by flushing; magnetic iron strips are positioned on the inner surfaces and the outer surfaces of all the models to enable the models to combine into a cube combination model by seamless docking. The mathematic stereo model combination teaching aid for students is small, portable and detachable and can perform different model combination to enable students learn the single or combined solid geometry model directly and improve the learning efficiency.
Description
(1) technical field
The utility model relates to a kind of assistant teaching aid of learning solid geometry, and specifically a kind of student uses mathematics stereoscopic model combined appliance for teaching.
(2) background technology
At present, student, in the process of learning mathematics, generally feels uninteresting, and many students often carry out learning mathematics by memorize mechanicalling, and this method is unfavorable for that student skillfully grasps mathematical knowledge, is also unfavorable for cultivation and the raising of Creative Thinking ability.And in the teaching of solid geometry, need to relate to three-dimensional knowledge, these contents are generally all more abstract, and student only to rely on the imagination of textbook and oneself to carry out understanding and recoganization solid figure be inadequate, this has not only reduced the efficiency of study, also be difficult to allow student have intuitively understanding to solid figure, thereby cause, rudimentary knowledge is insecure affects further study.For this reason, invent a kind of student of being convenient to and be familiar with intuitively the combined appliance for teaching of understanding basic stereoscopic figure, improve learning efficiency.
(3) summary of the invention
Technical assignment of the present utility model is for the deficiencies in the prior art, provides a kind of student to use mathematics stereoscopic model combined appliance for teaching.
The utility model solves the technical scheme that its technical matters adopts:
A kind of student uses mathematics stereoscopic model combined appliance for teaching, comprise a rectangular parallelepiped model, two pairs of set square models, a right-angle prismatic column model, three truncated rectangular pyramids models and a square model, on described rectangular parallelepiped model, offer triangular prism through hole and cylindrical hole, in it, correspondence is provided with the triangular prism model concordant with the surface of rectangular parallelepiped model and two cylinder models that center line coincides, and is provided with sphere model between two cylinder models; The right-angle side of the length of described rectangular parallelepiped model and 45 degree set square models is equal in length, width equates with the right angle minor face of 30 degree set square models, height equates respectively with the long edge lengths in right angle of the right-angle side length of 45 degree set square models, 30 degree set square models, after two 45 degree, 30 degree set square models docking formation rectangular parallelepipeds respectively with the contacts side surfaces of rectangular parallelepiped model completely concordant with its sideline, side; The incline length of described right-angle prismatic column model equates with the height of rectangular parallelepiped model; Three described truncated rectangular pyramids models are respectively an isosceles terrace with edge model, the first right angle terrace with edge model and the second right angle terrace with edge model, and the incline length sum of the incline length of isosceles terrace with edge model and the first right angle terrace with edge model equals the height of rectangular parallelepiped model, and the length of side length sum of the incline length of the second right angle terrace with edge model and square model equals the height of rectangular parallelepiped model; An above-mentioned right-angle prismatic column model, three truncated rectangular pyramids models and a square model are combined to form rectangular parallelepiped built-up pattern in order, and the longest edge length of rectangular parallelepiped built-up pattern equals the length of rectangular parallelepiped model and the thickness sum of set square model; On described square model, offer round platform through hole, in it, correspondence is provided with the round platform model concordant with the surface of square model; The surfaces externally and internally of described rectangular parallelepiped model, set square model, right-angle prismatic column model, truncated rectangular pyramids model, square model and triangular prism model, cylinder model, sphere model, round platform model is respectively arranged with magnet strip, and after combination, slitless connection forms a square built-up pattern.
Described isosceles terrace with edge model is positioned at the top of the first right angle terrace with edge model, the front side of isosceles terrace with edge model and the first right angle terrace with edge model is the second right angle terrace with edge model, square model, and the second right angle terrace with edge model is positioned at square model top, and the rear side of isosceles terrace with edge model and the first right angle terrace with edge model is right-angle prismatic column model; Isosceles terrace with edge model and the first right angle terrace with edge model dock completely with the surface of contact of right-angle prismatic column model, the second right angle terrace with edge model and square model respectively.
The triangular prism model that described triangular prism model is non-special angle.
A kind of student of the present utility model uses mathematics stereoscopic model combined appliance for teaching compared with prior art, and the beneficial effect producing is:
The utility model is small and exquisite portable, comprise that multiple stereoscopic models combine, it is convenient to split, in the time that student tentatively contacts solid geometry, its fractionation can be come, taking out separately a model observes, also can be by synthetic different model group new spatial structure, student is familiar with more intuitively and understands simple single solid geometric pattern and multiple stereoscopic model rear difform stereo combined model forming of combination in order, improve student's learning efficiency, for student accomplishes fluently solid foundation, to facilitate the study of deepening solid geometry in the future.
(4) brief description of the drawings
Accompanying drawing 1 is built-up pattern structural representation of the present utility model.。
Accompanying drawing 2 is the structure explosive view of built-up pattern in Fig. 1.
In figure, 1, rectangular parallelepiped model, 2,45 degree set square models, 3,30 degree set square models, 4, right-angle prismatic column model, 5, isosceles terrace with edge model, 6, the first right angle terrace with edge model, 7, the second right angle terrace with edge model, 8, square model, 9, triangular prism model, 10, cylinder model, 11, sphere model, 12, round platform model.
(5) embodiment
Below in conjunction with accompanying drawing, 1,2 couples of a kind of students of the present utility model are described in detail below with mathematics stereoscopic model combined appliance for teaching.
As accompanying drawing 1, shown in 2, a kind of student of the present utility model uses mathematics stereoscopic model combined appliance for teaching, it comprises a rectangular parallelepiped model 1, two pairs of set square models, a right-angle prismatic column model 4, three truncated rectangular pyramids models and a square model 8, on described rectangular parallelepiped model 1, offer triangular prism through hole and cylindrical hole, in it, correspondence is provided with the triangular prism model 9 concordant with the surface of rectangular parallelepiped model 1 and two cylinder models 10 that center line coincides, and the triangular prism model 9 that described triangular prism model 9 is non-special angle, between two cylinder models 10, be provided with sphere model 11, the right-angle side of the length of described rectangular parallelepiped model 1 and 45 degree set square models 2 is equal in length, width equates with the right angle minor face of 30 degree set square models 3, height equates respectively with the long edge lengths in right angle of the right-angle side length of 45 degree set square models 2,30 degree set square models 3, after two 45 degree set square models 2,30 degree set square models 3 docking formation rectangular parallelepipeds respectively with the contacts side surfaces of rectangular parallelepiped model 1 completely concordant with its sideline, side, the incline length of described right-angle prismatic column model 4 equates with the height of rectangular parallelepiped model 1, three described truncated rectangular pyramids models are respectively an isosceles terrace with edge model 5, the first right angle terrace with edge model 6 and the second right angle terrace with edge model 7, and the incline length sum of the incline length of isosceles terrace with edge model 5 and the first right angle terrace with edge model 6 equals the height of rectangular parallelepiped model 1, and the length of side length sum of the incline length of the second right angle terrace with edge model 7 and square model 8 equals the height of rectangular parallelepiped model 1, an above-mentioned right-angle prismatic column model 4, three truncated rectangular pyramids models and a square model 8 are combined to form rectangular parallelepiped built-up pattern in order, and the longest edge length of rectangular parallelepiped built-up pattern equals the length of rectangular parallelepiped model 1 and the thickness sum of set square model, on described square model 8, offer round platform through hole, in it, correspondence is provided with the round platform model 12 concordant with the surface of square model 8, as preferably, described isosceles terrace with edge model 5 is positioned at the top of the first right angle terrace with edge model 6, the front side of isosceles terrace with edge model 5 and the first right angle terrace with edge model 6 is the second right angle terrace with edge model 7, square model 8, and the second right angle terrace with edge model 7 is positioned at square model 8 tops, the rear side of isosceles terrace with edge model 5 and the first right angle terrace with edge model 6 is right-angle prismatic column model 4, isosceles terrace with edge model 5 and the first right angle terrace with edge model 6 dock completely with the surface of contact of right-angle prismatic column model 4, the second right angle terrace with edge model 7 and square model 8 respectively, the surfaces externally and internally of described rectangular parallelepiped model 1, set square model, right-angle prismatic column model 4, truncated rectangular pyramids model, square model 8 and triangular prism model 9, cylinder model 10, sphere model 11, round platform model 12 is respectively arranged with magnet strip, and after combination, slitless connection forms a square built-up pattern.
When use, each model can be split and comes, have rectangular parallelepiped model 1,45 degree set square model 2,30 degree set square models 3, right-angle prismatic column model 4, isosceles terrace with edge model 5, the first right angle terrace with edge model 6, the second right angle terrace with edge model 7, square model 8, triangular prism model 9, cylinder model 10, sphere model 11, round platform model 12; In the process of primary learning solid geometry figure, can comparative observation triangular prism model 9 and the difference of right-angle prismatic column model 4 deepen the understanding to triangular prism; Can comparative observation isosceles terrace with edge model 5, the understanding deepened truncated rectangular pyramids feature of the first right angle terrace with edge model 6, the second right angle terrace with edge model 7; Can be by right-angle prismatic column model 4, isosceles terrace with edge model 5, the first right angle terrace with edge model 6, the second right angle terrace with edge model 7, square model 8, triangular prism model 9 be combined into respectively to different solids in order, understand the feature of different solid geometry bodies, contribute to student to get information about each stereoscopic model, improve student's learning efficiency, accomplish fluently solid foundation for further learning solid geometry.
A kind of student of the present utility model is simple and convenient with its processing and fabricating of mathematics stereoscopic model combined appliance for teaching, processing and fabricating shown in by specification accompanying drawing.
Except the technical characterictic described in instructions, be the known technology of those skilled in the art.
Claims (3)
1. a student uses mathematics stereoscopic model combined appliance for teaching, it is characterized in that: comprise a rectangular parallelepiped model, two pairs of set square models, a right-angle prismatic column model, three truncated rectangular pyramids models and a square model, on described rectangular parallelepiped model, offer triangular prism through hole and cylindrical hole, in it, correspondence is provided with the triangular prism model concordant with the surface of rectangular parallelepiped model and two cylinder models that center line coincides, and is provided with sphere model between two cylinder models; The right-angle side of the length of described rectangular parallelepiped model and 45 degree set square models is equal in length, width equates with the right angle minor face of 30 degree set square models, height equates respectively with the long edge lengths in right angle of the right-angle side length of 45 degree set square models, 30 degree set square models, after two 45 degree, 30 degree set square models docking formation rectangular parallelepipeds respectively with the contacts side surfaces of rectangular parallelepiped model completely concordant with its sideline, side; The incline length of described right-angle prismatic column model equates with the height of rectangular parallelepiped model; Three described truncated rectangular pyramids models are respectively an isosceles terrace with edge model, the first right angle terrace with edge model and the second right angle terrace with edge model, and the incline length sum of the incline length of isosceles terrace with edge model and the first right angle terrace with edge model equals the height of rectangular parallelepiped model, and the length of side length sum of the incline length of the second right angle terrace with edge model and square model equals the height of rectangular parallelepiped model; An above-mentioned right-angle prismatic column model, three truncated rectangular pyramids models and a square model are combined to form rectangular parallelepiped built-up pattern in order, and the longest edge length of rectangular parallelepiped built-up pattern equals the length of rectangular parallelepiped model and the thickness sum of set square model; On described square model, offer round platform through hole, in it, correspondence is provided with the round platform model concordant with the surface of square model; The surfaces externally and internally of described rectangular parallelepiped model, set square model, right-angle prismatic column model, truncated rectangular pyramids model, square model and triangular prism model, cylinder model, sphere model, round platform model is respectively arranged with magnet strip, and after combination, slitless connection forms a square built-up pattern.
2. a kind of student according to claim 1 uses mathematics stereoscopic model combined appliance for teaching, it is characterized in that: described isosceles terrace with edge model is positioned at the top of the first right angle terrace with edge model, the front side of isosceles terrace with edge model and the first right angle terrace with edge model is the second right angle terrace with edge model, square model, and the second right angle terrace with edge model is positioned at square model top, and the rear side of isosceles terrace with edge model and the first right angle terrace with edge model is right-angle prismatic column model; Isosceles terrace with edge model and the first right angle terrace with edge model dock completely with the surface of contact of right-angle prismatic column model, the second right angle terrace with edge model and square model respectively.
3. a kind of student according to claim 1, with mathematics stereoscopic model combined appliance for teaching, is characterized in that: the triangular prism model that described triangular prism model is non-special angle.
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Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN108346352A (en) * | 2018-01-22 | 2018-07-31 | 重庆工商职业学院 | Mathematical education verifies system |
CN111597599A (en) * | 2020-05-14 | 2020-08-28 | 东华理工大学 | Method for manufacturing grid combined type graphic model based on magnetism principle |
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2014
- 2014-05-09 CN CN201420233872.8U patent/CN203825886U/en not_active Expired - Fee Related
Cited By (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN108346352A (en) * | 2018-01-22 | 2018-07-31 | 重庆工商职业学院 | Mathematical education verifies system |
CN108346352B (en) * | 2018-01-22 | 2021-08-03 | 重庆工商职业学院 | Mathematical teaching verification system |
CN111597599A (en) * | 2020-05-14 | 2020-08-28 | 东华理工大学 | Method for manufacturing grid combined type graphic model based on magnetism principle |
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Granted publication date: 20140910 Termination date: 20150509 |
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