CN108961942A - A kind of probability theory experimental model teaching aid - Google Patents

A kind of probability theory experimental model teaching aid Download PDF

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Publication number
CN108961942A
CN108961942A CN201811037453.6A CN201811037453A CN108961942A CN 108961942 A CN108961942 A CN 108961942A CN 201811037453 A CN201811037453 A CN 201811037453A CN 108961942 A CN108961942 A CN 108961942A
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elastic slice
oscillating deck
fixedly connected
limiting unit
drawstring
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CN201811037453.6A
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CN108961942B (en
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房明磊
耿显亚
韦慧
王亚鸽
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Anhui University of Science and Technology
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Anhui University of Science and Technology
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    • GPHYSICS
    • G09EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
    • G09BEDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
    • G09B23/00Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
    • G09B23/02Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for mathematics

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  • General Physics & Mathematics (AREA)
  • Physics & Mathematics (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
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  • Business, Economics & Management (AREA)
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  • Educational Technology (AREA)
  • Theoretical Computer Science (AREA)
  • Control Of Vending Devices And Auxiliary Devices For Vending Devices (AREA)
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Abstract

The invention belongs to mathematics teaching aid technical field, specifically a kind of probability theory experimental model teaching aid, including shell, bracket, placing groove, cushion hole, ejection slot and ejection module;Launching module includes the first position-limiting unit, the second position-limiting unit, guide post, fixed block and elastic slice;First position-limiting unit and the second position-limiting unit structure are identical and arranged symmetrically, and the first position-limiting unit includes pressing compression leg, oscillating deck and drawstring;Mobile for pushing oscillating deck to rotate around the shaft by compression leg by the articulated oscillating deck one end in compression leg one end, oscillating deck upper end side sets that there are two semi-cylindrical hills;The lower end side of oscillating deck is fixedly connected with drawstring, and drawstring is fixedly connected on guide post lower end after guide roller, and guide post upper end is fixedly connected on elastic slice bottom;Elastic slice is located between two oscillating decks.A collection of coin is cast by setting ejection module, can be realized the continuous projectile of coin, improve conventional efficient by the present invention.

Description

A kind of probability theory experimental model teaching aid
Technical field
The invention belongs to mathematics teaching aid technical field, specifically a kind of probability theory experimental model teaching aid.
Background technique
Probability, also known as probability, chance rate, probability (probability) or possibility, it is the basic conception of probability theory.Probability is The measurement for a possibility that chance event is occurred, the possibility that one event of real number representation generally with one between 0 to 1 occurs Property size.Closer to 1, which is more likely to occur;Closer to 0, then it is objective demonstration that the event, which unlikely occurs, and Non- subjective verifying.
In university's higher mathematics, teacher is the knowledge in terms of learning student more intuitively to probability, is often led to Some actual probability lecture experiments are crossed, wherein what is most often done is to throw coin experiment to count to obtain that is, by repeatedly throwing coin The positive and negative probability upwardly of coin is half.
Existing artificial toss a coin experiment throws coin often by a manpower, and the mode counted beside another people carries out reality It tests, however, needing to expend a large amount of manpower and material resources, so present mathematical probabilities are toss a coin due to as many as the number for needing to test Experiment is often simulated using computer, and computer simulation experiment participate in student can not in Probability Experiments in person, from And student can not be made to deepen the understanding to probability.
Summary of the invention
In order to make up for the deficiencies of the prior art, a kind of probability theory experimental model teaching aid proposed by the present invention, by the way that bullet is arranged Module is penetrated, by compression leg oscillating deck is rotated by pushing, elastic slice is made to be detached from the limitation of oscillating deck, elastic slice after oscillating deck rotation Restore outward and is popped up the coin in slot slot is launched;After first coin pop-up, operator, which unclamps, presses compression leg, in the work of drawstring Under, so that elastic slice is caught in again between two oscillating decks, by pushing guide post repeatedly, a collection of coin is cast, Neng Goushi The continuous projectile of existing coin, improves conventional efficient.
The technical solution adopted by the present invention to solve the technical problems is: a kind of probability theory experimental model of the present invention Teaching aid, including shell, bracket, placing groove, cushion hole, ejection slot and ejection module;The shell is arranged diagonally downward, the shell Body bottom is fixedly connected with bracket, and the case top is equipped with placing groove, and described placing groove one end is fixedly connected with extruding spring, described The placing groove other end is equipped with cushion hole, and the cushion hole side is equipped with ejection slot, ejection module is equipped in the ejection slot;It is described Launching module includes the first position-limiting unit, the second position-limiting unit, guide post, fixed block and elastic slice;First position-limiting unit and Second position-limiting unit structure is identical and arranged symmetrically, and first position-limiting unit includes pressing compression leg, oscillating deck and drawstring;It is described to press Compression leg runs through shell side side wall, and is slidably connected with shell, described to press the articulated oscillating deck one end in compression leg one end, the swing The middle part of plate is equipped with shaft, and the shaft is fixedly connected on shell, described mobile for pushing oscillating deck around the shaft by compression leg Rotation, oscillating deck upper end side are set there are two semi-cylindrical hill;The lower end side of the oscillating deck is fixedly connected with drawstring, institute It states drawstring and is fixedly connected on guide post lower end after guide roller;The guide post is slidably mounted on fixed block, the fixation Block is connected on shell, and the guide post upper end is fixedly connected on elastic slice bottom;The elastic slice is located between two oscillating decks, phase Spacing is less than elastic slice length between adjacent two oscillating decks, when elastic slice free state be it is plate shaped, the elastic slice passes through drawstring After traction between the arc-shaped semi-cylindrical hill for being connected to two oscillating decks.When work, by a collection of coin after compression extruding spring It is put into placing groove, coin is fallen in ejection slot after passing through cushion hole under the thrust for squeezing spring, completes the filling of coin;? After completing filling, compression leg is pressed by push the first position-limiting unit and the second position-limiting unit simultaneously, so that oscillating deck rotates, is swung Elastic slice is made to be detached from the limitation of oscillating deck after plate rotation, elastic slice restores outward and pops up the coin in slot slot is launched;First After coin pop-up, operator, which unclamps, presses compression leg, under the action of drawstring, so that elastic slice is caught in again between two oscillating decks, leads to It crosses and pushes guide post repeatedly, a collection of coin is cast, can be realized the continuous projectile of coin, improve conventional efficient.
Preferably, rectangular slot is opened up in the middle part of the elastic slice, is fixedly connected with sheet rubber in the rectangular slot;The rubber The bottom of piece and guide post are connected.Under the pull effect of drawstring, elastic slice is caught in again between two oscillating decks, on the outside of sheet rubber Elastic slice be sheet metal, for playing a supportive role, sheet rubber pull when generate deformation, increase the projectile stroke of coin, lead to The sheet rubber for presetting different elastic force is crossed, the different projectile experiments for casting stroke is obtained and is improved real so that experimental data is more abundant The randomness tested increases the convincingness of experimental data.
Preferably, resilient plug is fixedly connected on the drawstring;Limit plate is fixedly connected on the shell;On the limit plate Equipped with limit hole, the limit hole is open at one end to be less than resilient plug outer diameter.It pushes and by compression leg two oscillating decks is opened, elastic slice Only by the pulling of drawstring, then by oscillating deck extruding resilient plug, so that resilient plug passes through limit hole, resilient plug passes through limit hole After elastic slice is popped up rapidly, increase the projectile stroke of coin, improve the randomness of experiment, increase the convincingness of experimental data.
Preferably, the limit hole is bellmouth, and resilient plug one end setting is tapered.Reduce drawstring and pulls elasticity Plug passes through stress when limit hole, improves the service life of drawstring, to increase the stability of equipment, repeats to test convenient for a large amount of Progress, improve conventional efficient.
Preferably, the outer ring by compression leg covers then annular air-pocket;Cricoid branch is fixedly connected in the cushion hole Air bag is supportted, the support air bag is connected to annular air-pocket, and the thickness of the elastic slice is less than the thickness of coin.Compression leg is pressed pushing When, annular air-pocket is pressurized and supplies to support air bag, after annular support air bag inflation, squeezes to the coin in cushion hole Pressure, when previous coin being avoided to cast, extruding of the elastic slice by next coin increases equipment to reduce the abrasion of elastic slice Stability, convenient for largely repeat test progress, improve conventional efficient.
Preferably, the support air bag surface is equipped with fold.Increase support air bag to the frictional force of coin, avoids next Coin to be cast presses under the action of squeezing spring and contacts elastic slice, causes the abrasion of elastic slice.
Beneficial effects of the present invention are as follows:
1. the present invention rotates oscillating deck by compression leg by pushing by setting ejection module, make after oscillating deck rotation The limitation that elastic slice is detached from oscillating deck is obtained, elastic slice restores outward and will launch the pop-up of the coin in slot slot;After first coin pop-up, Operator unclamps, so that elastic slice is caught in again between two oscillating decks, to be led by compression leg under the action of drawstring by pushing repeatedly Xiang Zhu casts a collection of coin, can be realized the continuous projectile of coin, improves conventional efficient.
2. the sheet rubber of the invention by presetting different elastic force, realizes different groups of other experiments, obtains different projectile strokes Projectile experiment improve the randomness of experiment so that experimental data is more abundant, increase the convincingness of experimental data.
3. the present invention, by setting support air bag and annular air-pocket, annular air-pocket is pressurized and supplies to support air bag, annular Support air bag inflation after, the coin in cushion hole is squeezed, avoid previous coin cast when, elastic slice is by next The extruding of coin increases the stability of equipment to reduce the abrasion of elastic slice, convenient for largely repeating the progress of test, improves real Test efficiency.
Detailed description of the invention
The present invention will be further explained below with reference to the attached drawings.
Fig. 1 is main view of the invention;
Fig. 2 is partial enlarged view at E in Fig. 1;
Fig. 3 is A-A cross-sectional view in Fig. 1;
In figure: shell 1, bracket 11, placing groove 12, cushion hole 13, ejection slot 14, ejection module 2, the first position-limiting unit 21, the second position-limiting unit 22, guide post 23, fixed block 24, elastic slice 25, by compression leg 31, oscillating deck 32, semi-cylindrical hill 321, draw Rope 33, sheet rubber 4, resilient plug 5, limit plate 51, limit hole 52, annular air-pocket 6, support air bag 61.
Specific embodiment
In order to be easy to understand the technical means, the creative features, the aims and the efficiencies achieved by the present invention, tie below Specific embodiment is closed, the present invention is further explained.
As shown in Figure 1 to Figure 3, a kind of probability theory experimental model teaching aid of the present invention, including shell 1, bracket 11, put Set slot 12, cushion hole 13, ejection slot 14 and ejection module 2;The shell 1 is arranged diagonally downward, and 1 bottom of shell is fixed to be connected Bracket 11 is connect, is equipped with placing groove 12 at the top of the shell 1, described 12 one end of placing groove is fixedly connected with extruding spring, the placement 12 other end of slot is equipped with cushion hole 13, and 13 side of cushion hole is equipped with ejection slot 14, ejection mould is equipped in the ejection slot 14 Block 2;The ejection module 2 includes the first position-limiting unit 21, the second position-limiting unit 22, guide post 23, fixed block 24 and elastic slice 25; First position-limiting unit 21 and 22 structure of the second position-limiting unit are identical and arranged symmetrically, and first position-limiting unit 21 includes pressing Compression leg 31, oscillating deck 32 and drawstring 33;It is described to run through 1 side side wall of shell by compression leg 31, and be slidably connected with shell 1, it is described By articulated 32 one end of oscillating deck in 31 one end of compression leg, the middle part of the oscillating deck 32 is equipped with shaft, and the shaft is fixedly connected on On shell 1, described mobile for pushing oscillating deck 32 to rotate around the shaft by compression leg 31, the 32 upper end side of oscillating deck is equipped with two A semi-cylindrical hill 321;The lower end side of the oscillating deck 32 is fixedly connected with drawstring 33, and the drawstring 33 is solid after guide roller Surely it is connected to 23 lower end of guide post;The guide post 23 is slidably mounted on fixed block 24, and the fixed block 24 is connected in shell 1 On, 23 upper end of guide post is fixedly connected on 25 bottom of elastic slice;The elastic slice 25 is located between two oscillating decks 32, and adjacent two Spacing is less than 25 length of elastic slice between a oscillating deck 32, be when 25 free state of elastic slice it is plate shaped, the elastic slice 25 passes through After drawstring 33 is drawn between the arc-shaped semi-cylindrical hill 321 for being connected to two oscillating decks 32.When work, after compression squeezes spring A collection of coin is put into placing groove 12, coin is fallen in ejection slot 14 after passing through cushion hole 13 under the thrust for squeezing spring, Complete the filling of coin;After completing filling, by the pressing for pushing the first position-limiting unit 21 and the second position-limiting unit 22 simultaneously Column 31, so that oscillating deck 32 rotates, oscillating deck 32 makes the limitation of the disengaging oscillating deck 32 of elastic slice 25 after rotating, and elastic slice 25 is extensive outward Redoubling is popped up the coin in 14 slot of slot is launched;After first coin pop-up, operator, which unclamps, presses compression leg 31, in the work of drawstring 33 Under, so that elastic slice 25 is caught in again between two oscillating decks 32, by pushing guide post 23 repeatedly, a collection of coin is cast, The continuous projectile that can be realized coin, improves conventional efficient.
As one embodiment of the present invention, rectangular slot is opened up in the middle part of the elastic slice 25, is consolidated in the rectangular slot Surely sheet rubber 4 is connected;The bottom of the sheet rubber 4 and guide post 23 are connected.Under the pull effect of drawstring 33, elastic slice 25 is again It is caught between two oscillating decks 32, the elastic slice 25 in 4 outside of sheet rubber is sheet metal, and for playing a supportive role, sheet rubber 4 is being drawn Deformation is generated when dragging, increases the projectile stroke of coin, by presetting the sheet rubber 4 of different elastic force, obtains different projectile strokes Experiment is cast, so that experimental data is more abundant, the randomness of experiment is improved, increases the convincingness of experimental data.
As one embodiment of the present invention, resilient plug 5 is fixedly connected on the drawstring 33;It is fixed on the shell 1 Connect limit plate 51;The limit plate 51 is equipped with limit hole 52, and the limit hole 52 is open at one end to be less than 5 outer diameter of resilient plug. It pushes and by compression leg 31 two oscillating decks 32 is opened, the only pulling by drawstring 33 of elastic slice 25, then squeezed by oscillating deck 32 Resilient plug 5, so that resilient plug 5 passes through limit hole 52, resilient plug 5 pops up elastic slice 25 rapidly after passing through limit hole 52, increases The projectile stroke of coin, improves the randomness of experiment, increases the convincingness of experimental data.
As one embodiment of the present invention, the limit hole 52 is bellmouth, and described 5 one end of resilient plug is arranged to bore Shape.Reduce stress of the drawstring 33 when pulling resilient plug 5 and passing through limit hole 52, the service life of drawstring 33 is improved, to increase The stability of equipment improves conventional efficient convenient for largely repeating the progress of test.
As one embodiment of the present invention, the outer ring by compression leg 31 covers then annular air-pocket 6;The cushion hole Cricoid support air bag 61 is fixedly connected in 13, the support air bag 61 is connected to annular air-pocket 6, the thickness of the elastic slice 25 Less than the thickness of coin.When pushing by compression leg 31, annular air-pocket 6 is pressurized and supplies to support air bag 61, annular support gas After capsule 61 is inflated, the coin in cushion hole 13 is squeezed, when previous coin being avoided to cast, elastic slice 25 is by next hard The extruding of coin increases the stability of equipment to reduce the abrasion of elastic slice 25, convenient for largely repeating the progress of test, improves real Test efficiency.
As one embodiment of the present invention, 61 surface of support air bag is equipped with fold.It is right to increase support air bag 61 The frictional force of coin avoids next coin to be cast from pressing under the action of squeezing spring and contacts elastic slice 25, causes elastic slice 25 Abrasion.
When work, a collection of coin is put into placing groove 12 by compression after squeezing spring, the coin under the thrust for squeezing spring It is fallen on after cushion hole 13 in ejection slot 14, completes the filling of coin;After completing filling, by pushing the first limit simultaneously Unit 21 and the second position-limiting unit 22 press compression leg 31, so that oscillating deck 32 rotates, oscillating deck 32 makes elastic slice 25 de- after rotating Limitation from oscillating deck 32, elastic slice 25 restore outward and pop up the coin in 14 slot of slot is launched;After first coin pop-up, behaviour Author, which unclamps, presses compression leg 31, under the action of drawstring 33, so that elastic slice 25 is caught in again between two oscillating decks 32, by repeatedly Guide post 23 is pushed, a collection of coin is cast, the continuous projectile of coin is can be realized, improves conventional efficient;
The single experimental data for casting stroke cannot fully demonstrate the randomness of the experiment, in order to realize different groups of other realities It tests, by presetting the sheet rubber 4 of different elastic force, the projectiles for obtaining different projectile strokes are tested, so that experimental data is more abundant, The randomness for improving experiment, increases the convincingness of experimental data;
Mathematical probabilities experiment generally require a large amount of experimental data, when casting previous coin, by it is next to The coin outer ring of projectile applies support force, avoids elastic slice 25 by the extruding of coin to be cast, thus reduce the abrasion of elastic slice 25, Increase the stability of equipment, convenient for largely repeating the progress of test, improves conventional efficient.
Although the present invention be illustrated by specific embodiment, it will be appreciated by those skilled in the art that, do not departing from In the case where the scope of the invention, various transformation and equivalent substitute can also be carried out to the present invention.In addition, being directed to particular condition or material Material, can do various modifications to the present invention, without departing from the scope of the present invention.Therefore, the present invention is not limited to disclosed tool Body embodiment, and should include the whole embodiments fallen within the scope of the appended claims.

Claims (6)

1. a kind of probability theory experimental model teaching aid, including shell (1), bracket (11), placing groove (12), cushion hole (13), ejection Slot (14) and ejection module (2);The shell (1) is arranged diagonally downward, and shell (1) bottom is fixedly connected with bracket (11), Placing groove (12) are equipped at the top of the shell (1), described placing groove (12) one end is fixedly connected with extruding spring, the placing groove (12) other end is equipped with cushion hole (13), and cushion hole (13) side is equipped with ejection slot (14), sets in the ejection slot (14) There are ejection module (2);It is characterized by: the ejection module (2) includes the first position-limiting unit (21), the second position-limiting unit (22), guide post (23), fixed block (24) and elastic slice (25);First position-limiting unit (21) and the second position-limiting unit (22) knot Structure is identical and arranged symmetrically, and first position-limiting unit (21) includes by compression leg (31), oscillating deck (32) and drawstring (33);It is described Run through shell (1) side side wall by compression leg (31), and is slidably connected with shell (1), it is described to press the articulated pendulum in compression leg (31) one end The middle part of movable plate (32) one end, the oscillating deck (32) is equipped with shaft, and the shaft is fixedly connected on shell (1), described to press Compression leg (31) is mobile for pushing oscillating deck (32) to rotate around the shaft, and oscillating deck (32) the upper end side sets that there are two semicircle Raised (321);The lower end side of the oscillating deck (32) is fixedly connected drawstring (33), and the drawstring (33) is solid after guide roller Surely it is connected to guide post (23) lower end;The guide post (23) is slidably mounted on fixed block (24), and the fixed block (24) is solid It is connected on shell (1), guide post (23) upper end is fixedly connected on elastic slice (25) bottom;The elastic slice (25) is located at two pendulum Between movable plate (32), spacing is less than elastic slice (25) length, elastic slice (25) free state between two neighboring oscillating deck (32) When to be plate shaped, the elastic slice (25) after being drawn by drawstring (33) the arc-shaped semicircle for being connected to two oscillating decks (32) it is convex It rises between (321).
2. a kind of probability theory experimental model teaching aid according to claim 1, it is characterised in that: opened in the middle part of the elastic slice (25) If rectangular slot, sheet rubber (4) are fixedly connected in the rectangular slot;The bottom and guide post (23) of the sheet rubber (4) are solid Even.
3. a kind of probability theory experimental model teaching aid according to claim 2, it is characterised in that: fixed on the drawstring (33) It connects resilient plug (5);Limit plate (51) are fixedly connected on the shell (1);The limit plate (51) is equipped with limit hole (52), The limit hole (52) is open at one end to be less than resilient plug (5) outer diameter.
4. a kind of probability theory experimental model teaching aid according to claim 3, it is characterised in that: the limit hole (52) is cone Shape hole, resilient plug (5) one end setting are tapered.
5. a kind of probability theory experimental model teaching aid according to claim 1, it is characterised in that: described by the outer of compression leg (31) Snare then annular air-pocket (6);Cricoid support air bag (61), the support air bag are fixedly connected in the cushion hole (13) (61) it is connected to annular air-pocket (6), the thickness of the elastic slice (25) is less than the thickness of coin.
6. a kind of probability theory experimental model teaching aid according to claim 5, it is characterised in that: support air bag (61) table Face is equipped with fold.
CN201811037453.6A 2018-09-06 2018-09-06 Probability theory experiment model teaching aid Active CN108961942B (en)

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