CN108062887B - Demonstration device for converting function form - Google Patents
Demonstration device for converting function form Download PDFInfo
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- CN108062887B CN108062887B CN201810163376.2A CN201810163376A CN108062887B CN 108062887 B CN108062887 B CN 108062887B CN 201810163376 A CN201810163376 A CN 201810163376A CN 108062887 B CN108062887 B CN 108062887B
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- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 claims abstract description 137
- 239000000725 suspension Substances 0.000 claims abstract description 36
- 238000011144 upstream manufacturing Methods 0.000 claims abstract description 10
- 235000017166 Bambusa arundinacea Nutrition 0.000 claims abstract description 4
- 235000017491 Bambusa tulda Nutrition 0.000 claims abstract description 4
- 241001330002 Bambuseae Species 0.000 claims abstract description 4
- 235000015334 Phyllostachys viridis Nutrition 0.000 claims abstract description 4
- 239000011425 bamboo Substances 0.000 claims abstract description 4
- 238000013508 migration Methods 0.000 claims abstract description 4
- 230000005012 migration Effects 0.000 claims abstract description 4
- 238000006243 chemical reaction Methods 0.000 claims description 11
- 238000003780 insertion Methods 0.000 claims description 6
- 230000037431 insertion Effects 0.000 claims description 6
- 238000009434 installation Methods 0.000 claims description 5
- 230000006870 function Effects 0.000 abstract description 27
- 239000007788 liquid Substances 0.000 abstract description 9
- 238000004519 manufacturing process Methods 0.000 abstract description 4
- 238000002474 experimental method Methods 0.000 abstract description 3
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- 239000000463 material Substances 0.000 description 4
- 239000012530 fluid Substances 0.000 description 3
- 238000007620 mathematical function Methods 0.000 description 3
- 238000011160 research Methods 0.000 description 3
- 238000005516 engineering process Methods 0.000 description 2
- 238000004458 analytical method Methods 0.000 description 1
- 238000013475 authorization Methods 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 230000002349 favourable effect Effects 0.000 description 1
- 238000012886 linear function Methods 0.000 description 1
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- 238000012887 quadratic function Methods 0.000 description 1
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- 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
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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
- G09B23/06—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics
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Abstract
Discloses a demonstration device for converting function forms, belonging to teaching experimental instruments. Mainly by horizontal range position coordinatometer, horizontal migration car, horizontal plane position coordinatometer, n shape connecting rod, suspension cylinder, a section of thick bamboo, transparent drawing board, desk and drawing pen constitute characterized by: the horizontal range position coordinatometer is vertically fixed with the horizontal moving vehicle, the upstream surface of the horizontal moving vehicle and the edge line of the horizontal range position coordinatometer are on the same vertical surface, and the horizontal range position coordinatometer, the n-shaped connecting rod and the suspension column body are fixed together; the function law of liquid level position and range when an operator traces the flowing water pipes with different pipe diameters on the transparent drawing board is realized, the evolution trend of the function form is researched, the function law can be easily understood by a mathematic learner under a physical background, and the mathematical demonstration experiment instrument is a very inspired mathematical demonstration experiment instrument. The novel teaching aid is low in manufacturing cost, extremely simple and easy to manufacture, obvious in effect and capable of increasing more education functions in classroom teaching.
Description
Technical Field
The patent relates to an experimental instrument for demonstrating function form conversion, and belongs to the field of college mathematics and physical teaching experimental instruments.
Background
Although there are devices for demonstrating exponential functions and drawing images of CN105059022A, and devices for demonstrating exponential functions of CN203232609U, the present invention provides some designs for demonstrating rules of functions, and the prior art is too monotonous in demonstration content, which is not favorable for students to develop comprehensively, and lacks experimental instruments for demonstrating and demonstrating function format conversion, so as to provide a demonstration experimental device for demonstrating and demonstrating function format conversion from one function format to another function format, so as to train the innovative spirit and practical ability of students, and to solve the problem of how to utilize low-cost materials around students in the lower-grade science and technology. The method is completed under the support of national natural fund projects (project number: 11405092), basic business fee scientific research projects (project number: 135209251) of schools such as Heilongjiang province, higher schools and application projects (project number: SJGY 20170385).
Reference is made to the literature.
1. Device [ ZL ] application publication number is presented to queen book, exponential function demonstration and image drawing: CN105059022A, application publication date: 2015.11.18
2. Zhang Qijie et al, exponential function demonstrator [ ZL ] authorization Notice number: CN203232609U, date of authorized announcement: 2013.10.09.
disclosure of Invention
The demonstration device is used for demonstrating function form conversion in a classroom or in a class, and emphasizes on a technology for realizing function form conversion by utilizing the combination of a horizontal range position coordinatometer, a horizontal moving vehicle, a horizontal plane position coordinatometer, a suspension cylinder, water pipes with different inner diameters and the like.
This patent technical scheme: the utility model provides a presentation device of conversion function form, mainly comprises equal height spacing pipe and the drawing pen of horizontal range position coordinatometer, horizontal migration car, horizontal plane position coordinatometer, n shape connecting rod, suspension cylinder, a water section of thick bamboo, transparent drawing board, table, suspension cylinder, characterized by: the horizontal range position coordinatometer is vertically fixed with the horizontal moving vehicle, the upstream surface of the horizontal moving vehicle and the edge line of the horizontal range position coordinatometer are on the same vertical surface (the upstream surface of the horizontal moving vehicle and the central line of the drawing pen are on the same vertical surface), and the horizontal range position coordinatometer, the n-shaped connecting rod and the suspension column body are fixed together; a row of trolley tracks with through holes are arranged on a panel of the table, the through holes are convenient for water to flow to the lower side of the table, two transparent water cylinders with water nozzles at the bottoms are placed on the table panel which is placed horizontally, and a water cylinder communicating pipe is used for connecting the water nozzles to enable the two transparent water cylinders (uniform cylindrical transparent water buckets) to be communicated (materials are selected to ensure that the space volume in the communicating pipe is unchanged and the water cylinders are not deformed after installation is ensured), a water flowing pipe can be installed on one water cylinder with a horizontal inserting hole, and the plane of the water flowing track of the water flowing pipe is parallel to the trolley tracks; a transparent drawing board with drawing grids (transparent grid drawing paper) is vertically fixed on a table top plate (vertical table top plate) close to a transparent water cylinder, a water flowing pipe is firstly plugged, a proper amount of water is added into the water cylinder, the proper amount of water is obtained by completely immersing a suspension cylinder in water, and the water cannot overflow from the water cylinder; the n-shaped connecting rod penetrates through equal-height limiting pipes of the suspension cylinders (the two suspension cylinders are prevented from swinging unstably transversely and affecting vertical movement), the horizontal plane position coordinatometer and the n-shaped connecting rod are fixed together, the other end of the n-shaped connecting rod penetrates into the suspension cylinders, the positions of the suspension cylinders relative to the n-shaped connecting rod are adjusted and fixed temporarily, then the suspension cylinders are placed into the transparent water cylinders, when the suspension cylinders float in the water cylinders stably and immovably, the horizontal plane of the water level in the water cylinders can intersect with the horizontal plane position coordinatometer, and at the moment, the suspension cylinders are fixed with the n-shaped connecting rod; that is, when the suspended cylinder floats in the water cylinder stably, a horizontal line (the horizontal plane where the drawing pen point is located) is drawn on the horizontal plane position coordinatometer at the same horizontal plane with the water surface in the water cylinder, and the horizontal line is used for calibrating (indicating) the water surface position in the water cylinder; the inner wall of the equal-height limiting pipe of the suspension column body is smooth, the inner diameter of the equal-height limiting pipe is matched with the diameter of the n-shaped connecting rod, the surface of the n-shaped connecting rod is a smooth cylindrical surface, and the equal-height limiting pipe of the suspension column body is vertically fixed on the transparent drawing board through a straight rod; the water flowing pipe is a uniform columnar pipe, the outer diameter of the water flowing pipe is matched with the aperture of the water barrel with the horizontal insertion hole, the water flowing pipe and the horizontal insertion hole are sealed during installation, and the water flowing pipe is kept horizontal; the horizontal plane position coordinatometer 2-1 is a transparent ruler;
during demonstration, a certain amount of water is filled in the water cylinder, when the water surface of the water cylinder is calm, the water flowing pipe is opened, the water is ejected to a panel of the table in a stream mode, one person moves the horizontal mobile vehicle to enable the upstream surface of the horizontal mobile vehicle to fall to the panel of the table along with the corresponding water at any time (the upstream surface of the mobile vehicle and the drawing pen are on the same vertical and vertical transparent drawing board plane), and the other person uses the drawing pen to track and draw a point where the edge line of the coordinate ruler corresponding to the horizontal range position intersects with the horizontal line of the coordinate ruler corresponding to the horizontal range position on the transparent drawing board at any time; the drawing pen needs to be horizontally and vertically arranged on the transparent drawing board, so that the drawing pen is just opposite to a point where an edge line of the horizontal range position coordinatometer is intersected with a horizontal line of the horizontal range position coordinatometer (or the horizontal range position coordinatometer adopts a transparent straight ruler and draws a vertical line on the water facing surface of the horizontal moving vehicle on the transparent straight ruler, and the vertical line of the horizontal range position coordinatometer is intersected with the horizontal line of the horizontal range position coordinatometer), the drawing pen draws a corresponding y-x curve on the transparent drawing board (or a video recorder can be used for assisting recording and reading data from a computer for drawing, or parallel light is used for projecting the point where the edge line of the horizontal range position coordinatometer is intersected with the horizontal line of the horizontal range position coordinatometer on the transparent drawing board, so that the drawing pen can be conveniently used;
horizontal range position coordinatometer and horizontal plane position coordinatometer surface are smooth (horizontal range position coordinatometer and horizontal plane position coordinatometer both contactless), the drain pipe is the smooth even column pipe of inner wall.
A group of pipes with a certain length and different pipe inner diameters are selected, a group of liquid level y and range x tracks from large to small along with the pipe inner diameters can be obtained, namely, the liquid level y and range x tracks with the diameters of d1< d2< d3< d4< d5 are selected for experimental demonstration (measurement), and the trend of a function form of the liquid level y and the range x along with the reduction of the pipe inner diameters is obtained through research.
It should be noted that the ratio of the sectional area of the water cylinder for containing water to the sectional area of the water flowing pipe is appropriate, so that the water flow is ensured to be streamlined, and the horizontal moving vehicle is ensured to be conveniently and timely moved to track the position of the water flow on the panel of the table.
Theoretical analysis, establishing that a water flowing pipe nozzle is taken as an origin of coordinates, the horizontal direction along which water is just ejected is the positive direction of an x axis, the vertical direction is the positive direction of a y axis, the horizontal height of the water flowing pipe nozzle from a panel of a table is h, and x and y are respectively a horizontal range and a water surface height (the vertical height from the water surface of a water cylinder to the water flowing pipe),
A) if the water is ideal fluid (the flowing water pipe is thick pipe, the viscosity is neglected)
Is obtained by the arrangement of the three formulas
B) Or considering the viscosity of the fluid (the flowing water pipe is a thin pipe, the viscosity cannot be ignored), and the Poiseue formula (
、
、
、
Viscosity coefficient of fluid, length of pipe, inner diameter of pipe, pressure difference at two ends of pipe, respectively)
Giving the average flow velocity
Arrange to obtain
This is the functional relationship between the water surface height y and the water range x, for which one questions: the relation between the water surface height y and the water flowing range x is a linear or quadratic function relation, the mathematical function law is seen to be hidden in physics through designing concrete experiments and theoretical research, the conversion trend of the function form is researched, the mathematical function demonstrator has good inspiration for students in lower grades to learn mathematics and physics classmates, is beneficial for learners of mathematics to understand the function law under the physical background, and is an enlightening mathematical demonstration experimental instrument for understanding the conversion of mathematical functions by physical learners. The novel teaching aid is low in manufacturing cost, extremely simple and easy to manufacture, obvious in effect and capable of increasing more education functions in classroom teaching.
The device has the advantages that the liquid level position is tracked through the two same suspension cylinders, so that one operator only needs to track the position of the water pipe falling in a streamline shape, the other operator tracks the point where the edge line of the coordinate ruler corresponding to the horizontal range position intersects with the horizontal line of the coordinate ruler corresponding to the horizontal range position, and the experimental function rule of the corresponding device is drawn by using a drawing pen on the transparent drawing board; demonstrating and recording different pipe inner diameters to obtain the transition trend from one function form to another along with the track of the liquid level (water surface) height y and the range x of the pipe inner diameters from large to small; the experimental instrument is a mathematical demonstration experimental instrument which is enlightening for learning the understanding of function rules of mathematics students under the physical background.
Drawings
FIG. 1 is a schematic top view of the patent
FIG. 2 is a schematic diagram of the patent
Wherein: 1-1 parts of a horizontal range position coordinatometer, 1-2 parts of a horizontal moving vehicle, 2-1 parts of a horizontal plane position coordinatometer, 2-2 parts of an n-shaped connecting rod, 2-3 parts of a suspension cylinder, 3 parts of a water cylinder, 3-1 parts of a water surface, 2-1-1 parts of a horizontal line, 3-2 parts of a water cylinder communicating pipe, 3-3 parts of a water flowing pipe, 3-4 parts of a water flowing track, 4 parts of a table, 4-1 parts of a trolley track with a through hole, 5 parts of a transparent drawing board, 6 parts of a drawing pen, 7 parts of an equal-height limiting pipe of the suspension cylinder.
Detailed Description
As shown in figure 1 and figure 2: the utility model provides a presentation device of conversion function form, mainly by horizontal range position coordinatometer 1-1, horizontal migration car 1-2, horizontal plane position coordinatometer 2-1, n shape connecting rod 2-2, suspension cylinder 2-3, water section of thick bamboo 3, transparent drawing board 5, table 4, the equal height spacing pipe 7 and the drawing pen 6 constitution of suspension cylinder, characterized by: the horizontal range position coordinatometer 1-1 and the horizontal moving vehicle 1-2 are vertically fixed together, the upstream surface of the horizontal moving vehicle 1-2 and the edge line of the horizontal range position coordinatometer 1-1 are on the same vertical surface (the upstream surface of the horizontal moving vehicle 1-2 and the central line of the drawing pen 6 are on the same vertical surface), and the horizontal plane position coordinatometer 2-1, the n-shaped connecting rod 2-2 and the suspension column 2-3 are fixed together; a row of trolley tracks 4-1 with through holes are arranged on a panel of the table 4, the through holes are convenient for water to flow to the lower side of the table 4, two transparent water cylinders 3 with water nozzles at the bottoms are placed on the panel of the table 4 which is horizontally placed, and a water cylinder communicating pipe 3-2 is used for connecting the water nozzles to enable the two transparent water cylinders 3 to be communicated (materials are selected to ensure that the space volume in the communicating pipe 3-2 is unchanged and the water cylinders 3 are not deformed after installation), one of the water cylinders 3 with a horizontal inserting hole can be provided with water flow pipes 3-3, and the plane of the water flow track 3-4 of the water flow pipe 3-3 is parallel to the trolley tracks 4-1; a transparent drawing board 5 with drawing grids (transparent grid drawing paper) is close to a transparent water cylinder 3 and is vertically fixed on a table 4 panel (vertical to the table 4 panel), an upper water flowing pipe 3-3 is firstly plugged, and a proper amount of water is added into the water cylinder 3, wherein the proper amount of water is obtained by completely immersing a suspension cylinder 2-3 in water, and the water cannot overflow from the water cylinder 3; the n-shaped connecting rod 2-2 penetrates through an equal-height limiting pipe 7 of the suspension cylinder, then the horizontal plane position coordinatometer 2-1 and the n-shaped connecting rod 2-2 are fixed together, the other end of the n-shaped connecting rod 2-2 penetrates into the suspension cylinder 2-3, the position of the suspension cylinder 2-3 relative to the n-shaped connecting rod 2-2 is adjusted and temporarily fixed, then the suspension cylinder 2-3 is placed into the transparent water cylinder 3, when the suspension cylinder 2-3 floats in the water cylinder 3 and is stable and immobile, the horizontal plane of the water surface 3-1 in the water cylinder 3 can be intersected with the horizontal plane position coordinatometer 2-1, and at the moment, the suspension cylinder 2-3 and the n-shaped connecting rod 2-2 are fixed; that is, when the suspended cylinder 2-3 floats in the water cylinder 3 stably, a horizontal line 2-1-1 (the horizontal plane where the head of the drawing pen 6 is located) is drawn on the horizontal plane position coordinatometer 2-1 at the same horizontal plane position with the water surface 3-1 in the water cylinder 3, and the horizontal line 2-1-1 is used for calibrating the position of the water surface 3-1 in the water cylinder 3; the inner wall of the equal-height limiting pipe 7 of the suspension cylinder is smooth, the inner diameter of the equal-height limiting pipe is matched with the diameter of the n-shaped connecting rod 2-2, the surface of the n-shaped connecting rod 2-2 is a smooth cylindrical surface, and the equal-height limiting pipe 7 of the suspension cylinder is vertically fixed on the transparent drawing board 5 through a straight rod; the water flowing pipe 3-3 is a uniform columnar pipe, the outer diameter of the water flowing pipe is matched with the aperture of the water cylinder 3 with the horizontal insertion hole, the water flowing pipe 3-3 is sealed with the horizontal insertion hole during installation, and the water flowing pipe 3-3 is kept horizontal; the horizontal plane position coordinatometer 2-1 is a transparent ruler; during demonstration, a certain amount of water is filled in a water cylinder, when the water surface of the water cylinder is calm, a water flowing pipe 3-3 is opened, the water is ejected to a panel of a table 4 in a stream mode, one person moves a horizontal moving vehicle 1-2 to enable the upstream surface of the horizontal moving vehicle to fall to the position of the panel of the table 4 along with the corresponding water at any time (the upstream surface of the moving vehicle and a drawing pen are on the same vertical and vertical transparent drawing board 5 plane), and the other person tracks and draws the point where the edge line of a coordinate ruler 1-1 corresponding to a horizontal range position is intersected with the horizontal line 2-1-1 of the coordinate ruler 2-1 corresponding to the horizontal range position on the transparent drawing board 5 at any time by using a drawing pen 6; the drawing pen 6 needs to be horizontally and vertically arranged on the transparent drawing board 5, so that the drawing pen 6 is just opposite to a point where an edge line of the horizontal range position coordinatometer 1-1 (made of opaque materials) is intersected with a horizontal line 2-1-1 of the horizontal range position coordinatometer 2-1, and the drawing pen 6 draws a corresponding y-x curve on the transparent drawing board 5 (the point where the edge line of the horizontal range position coordinatometer 1-1 is intersected with the horizontal line 2-1-1 of the horizontal range position coordinatometer 2-1 can also be recorded by a video recorder in an auxiliary mode and then data is read from a computer for drawing, or a point where the edge line of the horizontal range position coordinatometer 1-1 is intersected with the horizontal line 2-1-1 of the horizontal range;
in one preferred embodiment, the lengths of the water flowing pipes 3-3 are unchanged, the inner diameters of the pipes are changed, that is, the total amount of liquid, the height of the liquid surface relative to the water flowing pipes 3-3 and the sectional area of the liquid surface are unchanged, and a group of pipes with the lengths of 3.0cm and the inner diameters of the pipes are respectively selected as
And demonstrating and recording the parameters of 1.0mm, 1.3mm, 2.0mm, 3.0mm and 5.0mm to obtain the relation between the water surface height y and the horizontal range x along with the inner diameter of the pipe from large to small, and discussing and researching the trend of functional form conversion.
Claims (1)
1. The utility model provides a presentation device of conversion function form, by horizontal range position coordinatometer (1-1), horizontal migration car (1-2), horizontal plane position coordinatometer (2-1), n shape connecting rod (2-2), suspension cylinder (2-3), water section of thick bamboo (3), transparent drawing board (5), table (4), the equal altitude spacing pipe (7) and drawing pen (6) of suspension cylinder constitute characterized by: the horizontal range position coordinatometer (1-1) and the horizontal moving vehicle (1-2) are vertically fixed together, the upstream surface of the horizontal moving vehicle (1-2) and the edge line of the horizontal range position coordinatometer (1-1) are on the same vertical plane, and the horizontal range position coordinatometer (2-1), the n-shaped connecting rod (2-2) and the suspension cylinder (2-3) are fixed together; a row of trolley tracks (4-1) with through holes are arranged on a panel of the table (4), the through holes are convenient for water to flow to the lower side of the table (4), two transparent water cylinders (3) with water nozzles at the bottoms are placed on the panel of the table (4) which is horizontally placed, the water nozzles are connected through water cylinder communicating pipes (3-2) to enable the two transparent water cylinders (3) to be communicated, one water cylinder (3) with a horizontal inserting hole can be provided with a water flowing pipe (3-3), and the plane of the water flowing track (3-4) of the water flowing pipe (3-3) is parallel to the trolley tracks (4-1); a transparent drawing board (5) with drawing grids is attached to a transparent water cylinder (3) and vertically fixed on a panel of a table (4), when a suspended cylinder (2-3) floats in the water cylinder (3) and is stable and immobile, a horizontal line (2-1-1) is drawn on a horizontal plane position coordinatometer (2-1) at the same horizontal plane position with a water surface (3-1) in the water cylinder (3), and the horizontal line (2-1-1) is used for calibrating the position of the water surface (3-1) in the water cylinder (3); the inner wall of the equal-height limiting pipe (7) of the suspension cylinder is smooth, the inner diameter of the equal-height limiting pipe is matched with the diameter of the n-shaped connecting rod (2-2), the surface of the n-shaped connecting rod (2-2) is a smooth cylindrical surface, and the equal-height limiting pipe (7) of the suspension cylinder is vertically fixed on the transparent drawing board (5) through a straight rod; the water flowing pipe (3-3) is a uniform columnar pipe, the outer diameter of the water flowing pipe is matched with the aperture of the water barrel (3) with the horizontal insertion hole, the water flowing pipe (3-3) is sealed with the horizontal insertion hole during installation, and the water flowing pipe (3-3) is kept horizontal; the horizontal plane position coordinatometer (2-1) is a transparent ruler.
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| CN201810163376.2A CN108062887B (en) | 2018-02-27 | 2018-02-27 | Demonstration device for converting function form |
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Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN203118298U (en) * | 2012-12-28 | 2013-08-07 | 苏鹏宇 | Object motion demonstration board |
| CN103921596A (en) * | 2014-05-05 | 2014-07-16 | 黄河科技学院 | Combined type drawing device of ruler drawing board |
| CN204990899U (en) * | 2015-06-26 | 2016-01-20 | 西华师范大学 | Multi -functional continuation projectile motion orbit demonstration appearance |
| CN205211261U (en) * | 2015-11-02 | 2016-05-04 | 胡天元 | Novel flat experiment demonstration that throws of physics device |
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN208903503U (en) * | 2018-02-27 | 2019-05-24 | 齐齐哈尔大学 | A kind of apparatus for demonstrating converting functional form |
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Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN203118298U (en) * | 2012-12-28 | 2013-08-07 | 苏鹏宇 | Object motion demonstration board |
| CN103921596A (en) * | 2014-05-05 | 2014-07-16 | 黄河科技学院 | Combined type drawing device of ruler drawing board |
| CN204990899U (en) * | 2015-06-26 | 2016-01-20 | 西华师范大学 | Multi -functional continuation projectile motion orbit demonstration appearance |
| CN205211261U (en) * | 2015-11-02 | 2016-05-04 | 胡天元 | Novel flat experiment demonstration that throws of physics device |
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