Mathematical probability demonstration device

Abstract

The invention discloses a mathematical probability demonstration device, and relates to the field of mathematical probability teaching, and the mathematical probability demonstration device comprises a supporting plate, the top of the supporting plate is rotatably connected with a supporting shaft, and the outer surface of the supporting shaft is fixedly connected with a mounting disc. The mounting disc, the plurality of transmission shafts and the mounting frame integrally rotate; the second driving mechanism is meshed with the first transmission gear through a transmission gear ring, so that the transmission shaft rotates while revolving; the overturning mechanism drives a transmission rack through a second telescopic driving piece, so that a second transmission gear and an overturning shaft rotate in a reciprocating mode, then shaking boxes are driven to rotate in the horizontal direction and the vertical direction, the multi-direction rotation simulates manual shaking, dices in the shaking boxes are fully overturned, all the shaking boxes act consistently, extra randomness caused by shaking differences is avoided, and the shaking effect is improved. The same shaking condition each time is ensured, a foundation is laid for subsequent accurate probability statistics, and a demonstration result can more truly reflect a dice probability rule.

Description

Technical Field

[0001] This invention relates to mathematical probability teaching technology, specifically to a mathematical probability demonstration device. Background Technology

[0002] In the field of probability education in advanced mathematics, accurately verifying theoretical probabilities is a crucial and fundamental teaching activity. This process aims to help students gain a deeper understanding of probability theory, master its practical applications, and lay a solid foundation for subsequent learning of more complex probability concepts and solving real-world problems.

[0003] Traditional methods for verifying theoretical probabilities typically rely on calculating the probability of one or more faces appearing on a die after several dice rolls, using this as the basis for verification. However, this seemingly simple and direct experimental method has many limitations in practice.

[0004] On the one hand, manually throwing dice makes it difficult to guarantee that the force, angle, and other conditions of each throw are completely consistent. Different throwing forces and angles will cause the dice to tumble in the air, their trajectory, and their final landing state to vary, thus increasing the randomness of each throw. This randomness does not stem from the probabilistic characteristics of the dice themselves, but rather from the additional variables introduced by the irregular throwing process, which seriously interferes with the verification of the true probabilistic laws of the dice.

[0005] On the other hand, manually recording the results of dice rolls is not only inefficient but also prone to errors. During numerous repeated dice rolls, the number of faces rolled each time needs to be recorded manually. As the number of rolls increases, the workload of manual recording rises significantly, easily leading to omissions and errors. Furthermore, manual statistics struggle to accurately record and analyze the results of multiple dice rolls simultaneously, failing to meet the need for acquiring large amounts of accurate data in a short time, thus limiting the efficiency and accuracy of probability verification.

[0006] In conclusion, the traditional method of verifying probability theory by rolling dice suffers from problems such as inconsistent rolling conditions, low statistical efficiency, susceptibility to errors, and difficulty in simulating complex scenarios, making it unsuitable for the needs of modern higher mathematics probability teaching. Therefore, there is an urgent need for a new mathematical probability demonstration device that can overcome these limitations to improve the quality and efficiency of probability teaching. Summary of the Invention

[0007] The purpose of this invention is to provide a mathematical probability demonstration device to overcome the above-mentioned shortcomings in the prior art.

[0008] To achieve the above objectives, the present invention provides the following technical solution: a mathematical probability demonstration device, comprising:

[0009] A support plate, the top of which is rotatably connected to a support shaft, the outer surface of which is fixedly connected to a mounting plate, the outer surface of which is fixedly connected to multiple mounting plates, the mounting plate being rotatably connected to a drive shaft, the top of which is fixedly connected to a mounting frame, and a shaking box being rotatably connected inside the mounting frame, the shaking box containing dice with numbers.

[0010] The bottom of the shaking box is threaded with a transparent material door, and a camera is fixedly connected inside the mounting frame;

[0011] The outer surface of the support shaft is connected to a first drive mechanism that is connected to the support plate. The first drive mechanism is used to drive the support shaft to rotate. The outer surface of the drive shaft is connected to a second drive mechanism that is connected to the support plate. The second drive mechanism is used to drive the drive shaft to rotate. The outer surface of the rocking box is connected to a flipping mechanism that is connected to the mounting frame. The flipping mechanism is used to drive the rocking box to rotate.

[0012] Furthermore, a transmission column is slidably connected to the rocking box, a push plate that is slidably connected to the bottom end of the transmission column is fixedly connected to the bottom end of the transmission column, a connecting block is fixedly connected to the top end of the transmission column, a spring that is fixedly connected to the connecting block is fixedly sleeved on the outer surface of the transmission column, and a push mechanism that is connected to the support plate is throttlely connected to the top of the connecting block. The push mechanism is used to drive the connecting block to move downward.

[0013] Furthermore, the pushing mechanism includes a first telescopic drive member fixedly connected to the support plate, the output end of the first telescopic drive member is fixedly connected to a first mounting ring through a connecting plate, the bottom of the first mounting ring is fixedly connected to a first permanent magnet ring, and the top of the connecting block is fixedly connected to a permanent magnet block.

[0014] Furthermore, the first driving mechanism includes a rotating driving component fixedly connected to the support plate. The output end of the rotating driving component is fixedly connected to a driving shaft via a coupling. A first driving gear is fixedly sleeved on the outer surface of the driving shaft. A second driving gear, which is fixedly sleeved on the outer surface of the first driving gear, is meshed with the outer surface of the first driving gear.

[0015] Furthermore, the second drive mechanism includes a mounting column fixedly connected to the support plate, a second mounting ring fixedly connected to the top of the mounting column, a transmission gear ring fixedly connected inside the second mounting ring, and a first transmission gear fixedly sleeved with the transmission shaft on the inner surface of the transmission gear ring.

[0016] Furthermore, the flipping mechanism includes a second telescopic drive member fixedly connected to the mounting frame. The output end of the second telescopic drive member is fixedly connected to a transmission rack via a mounting block. A second transmission gear is meshed with one side of the transmission rack. A flipping shaft rotatably connected to the mounting frame is fixedly sleeved in the middle of the second transmission gear. One end of the flipping shaft is fixedly connected to the rocking box.

[0017] Furthermore, the camera is connected to the display screen and the processor.

[0018] Furthermore, the material of the transparent material door is tempered glass.

[0019] Compared with the prior art, the mathematical probability demonstration device provided by the present invention has the following beneficial effects:

[0020] (1) Multi-dimensional shaking is achieved through the collaboration of multiple mechanisms, effectively improving the probability demonstration effect. The first drive mechanism drives the support shaft to rotate, causing the mounting plate, multiple transmission shafts, and mounting frame to rotate as a whole. The second drive mechanism meshes with the first transmission gear through the transmission gear ring, allowing the transmission shaft to rotate on its own axis while revolving around the revolution. The flipping mechanism drives the transmission rack through the second telescopic drive component, causing the second transmission gear and the flipping shaft to rotate back and forth, thereby driving the shaking box to rotate in the horizontal and vertical directions. This multi-directional rotation imitates manual shaking, allowing the dice in the shaking box to tumble fully, and the actions of each shaking box are consistent, avoiding additional randomness caused by shaking differences, ensuring that the shaking conditions are the same each time, laying the foundation for subsequent accurate probability statistics, and making the demonstration results more realistically reflect the probability law of dice.

[0021] (2) During the later stages of shaking, the pushing mechanism comes into play. The first telescopic drive component moves the first mounting ring and the first permanent magnet ring downwards, using repulsive force to move the push plate down to a position one and a half dice heights from the bottom of the shaking box. As the shaking box continues to rotate, the push plate reduces the space, and the elastic movement of the spring and repulsive force prevents the dice from stacking, ensuring that one side of each die is in contact with the bottom. At the same time, the camera on the mounting frame captures the bottom surface of the dice, transmits the image to the processor for processing, and displays it on the screen. This series of designs allows users to automatically obtain multiple sets of accurate data at once, eliminating the need for manual shaking and statistics, greatly improving the accuracy and efficiency of data statistics in mathematical probability teaching and demonstrations. Attached Figure Description

[0022] To more clearly illustrate the technical solutions in the embodiments of this application or the prior art, the drawings used in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments recorded in this invention. For those skilled in the art, other drawings can be obtained based on these drawings.

[0023] Figure 1This is a first perspective view of the external structure of the present invention;

[0024] Figure 2 This is a second perspective view of the external structure of the present invention;

[0025] Figure 3 This is a third perspective view of the external structure of the present invention;

[0026] Figure 4 This is a perspective view of the internal structure of the mounting plate and the rocking box of the present invention;

[0027] Figure 5 For the present invention Figure 1 A magnified view of A in the middle.

[0028] Explanation of reference numerals in the attached figures:

[0029] 1. Support plate; 2. Support shaft; 3. Mounting disc; 4. Mounting plate; 5. Drive shaft; 6. Mounting frame; 7. Shaking box; 8. Transparent material door; 9. Camera; 11. Drive column; 12. Push plate; 13. Connecting block; 14. Spring; 15. First telescopic drive component; 16. First mounting ring; 17. First permanent magnet ring; 18. Permanent magnet block; 21. Rotation drive component; 22. Drive shaft; 23. First drive gear; 24. Second drive gear; 31. Mounting column; 32. Second mounting ring; 33. Drive gear ring; 34. First drive gear; 41. Second telescopic drive component; 42. Drive rack; 43. Second drive gear; 44. Tilting shaft. Detailed Implementation

[0030] To enable those skilled in the art to better understand the technical solution of the present invention, the present invention will be further described in detail below with reference to the accompanying drawings.

[0031] Example 1

[0032] Please see Figures 1 to 5 As shown, a mathematical probability demonstration device includes a support plate 1, a support shaft 2 rotatably connected to the top of the support plate 1, a mounting plate 3 fixedly connected to the outer surface of the support shaft 2, a plurality of mounting plates 4 fixedly connected to the outer surface of the mounting plate 3, a transmission shaft 5 rotatably connected to the mounting plate 4, a mounting frame 6 fixedly connected to the top of the transmission shaft 5, a shaking box 7 rotatably connected inside the mounting frame 6, and dice with numbers placed inside the shaking box 7.

[0033] The bottom of the rocking box 7 is threaded with a transparent material door 8. A camera 9 is fixedly connected inside the mounting frame 6. The camera 9 is connected to the display screen and the processor. The transparent material door 8 is made of tempered glass.

[0034] The outer surface of the support shaft 2 is connected to a first drive mechanism that is connected to the support plate 1. The first drive mechanism is used to drive the support shaft 2 to rotate. The outer surface of the drive shaft 5 is connected to a second drive mechanism that is connected to the support plate 1. The second drive mechanism is used to drive the drive shaft 5 to rotate. The outer surface of the rocking box 7 is connected to a flipping mechanism that is connected to the mounting frame 6. The flipping mechanism is used to drive the rocking box 7 to rotate.

[0035] The first driving mechanism includes a rotating drive component 21 fixedly connected to the support plate 1. The rotating drive component 21 is a servo motor, which is controlled by a PLC programming program. The servo motor can be controlled to rotate forward and backward and rotate at different angles. The output end of the rotating drive component 21 is fixedly connected to a drive shaft 22 via a coupling. A first drive gear 23 is fixedly sleeved on the outer surface of the drive shaft 22. A second drive gear 24 fixedly sleeved on the outer surface of the first drive gear 23 is meshed with the support shaft 2. The rotating drive component 21 drives the drive shaft 22 to rotate, and the drive shaft 22 drives the support shaft 2 to rotate via the first drive gear 23 and the second drive gear 24.

[0036] The second drive mechanism includes a mounting column 31 fixedly connected to the support plate 1. A second mounting ring 32 is fixedly connected to the top of the mounting column 31. A transmission gear ring 33 is fixedly connected inside the second mounting ring 32. A first transmission gear 34, which is fixedly sleeved with the transmission shaft 5, is meshed with the inner surface of the transmission gear ring 33. The first drive mechanism drives the support shaft 2 to rotate, the support shaft 2 drives the mounting plate 4 to rotate, and the mounting plate 4 drives the transmission shaft 5 to rotate. At the same time as the rotation, the first transmission gear 34 on the transmission shaft 5 meshes with the transmission gear ring 33, driving the first transmission gear 34 and the transmission shaft 5 to rotate. The transmission shaft 5 drives the mounting frame 6 to rotate.

[0037] The flipping mechanism includes a second telescopic drive component 41 fixedly connected to the mounting frame 6. The second telescopic drive component 41 is an electric telescopic rod or a cylinder. The output end of the second telescopic drive component 41 is fixedly connected to a transmission rack 42 through a mounting block. A second transmission gear 43 is meshed on one side of the transmission rack 42. A flipping shaft 44, which is rotatably connected to the mounting frame 6, is fixedly sleeved in the middle of the second transmission gear 43. One end of the flipping shaft 44 is fixedly connected to the rocking box 7. The second telescopic drive component 41 drives the transmission rack 42 to reciprocate, the transmission rack 42 drives the second transmission gear 43 to reciprocate, and the second transmission gear 43 drives the flipping shaft 44 to reciprocate.

[0038] First, as needed, dice with numbers on each face are placed into each shaking box 7 through a transparent material door 8. The first drive mechanism drives the support shaft 2 to rotate, which in turn drives the mounting plate 3 to rotate. The mounting plate 3 drives multiple drive shafts 5 and the mounting frame 6 to rotate. Simultaneously, the first drive gear 34 on the drive shaft 5 meshes with the drive gear ring 33, thereby driving the first drive gear 34 and drive shaft 5 to rotate. The drive shaft 5 drives the mounting frame 6 to rotate, which in turn drives the shaking box 7 to rotate via a flipping shaft 44. The shaking box 7 then drives the dice inside to rotate. Simultaneously, the second telescopic drive member 41 drives the drive rack 42 to reciprocate, which in turn drives the second drive gear 43 to reciprocate. The second drive gear 43 then drives the flipping... The rotating shaft 44 and the shaking box 7 reciprocate, enabling multiple shaking boxes 7 to rotate simultaneously in both horizontal and vertical directions. These multiple shaking boxes 7 mimic the action of manual shaking, ensuring the dice inside are thoroughly shaken. The consistent shaking action of each shaking box 7 prevents random fluctuations and further improves the shaking effect on the dice, enhancing the accuracy of subsequent probability statistics. After shaking is complete, the camera 9 on the mounting frame 6 captures an image of the bottom surface of the dice, which is then sent to a processor for processing and displayed on a screen. This allows users to automatically obtain multiple sets of data at once, eliminating the need for manual dice shaking and improving both the efficiency and accuracy of probability teaching.

[0039] Example 2

[0040] Based on Example 1, please refer to Figure 1 and Figure 4 As shown, a transmission column 11 is slidably connected to the rocking box 7. A push plate 12 that is slidably connected to the bottom end of the transmission column 11 is fixedly connected to the bottom end of the rocking box 7. A connecting block 13 is fixedly connected to the top end of the transmission column 11. A spring 14 that is fixedly connected to the connecting block 13 is fixedly sleeved on the outer surface of the transmission column 11. A push mechanism that is connected to the support plate 1 is driven to the top of the connecting block 13. The push mechanism is used to drive the connecting block 13 to move downward.

[0041] The pushing mechanism includes a first telescopic drive member 15 fixedly connected to the support plate 1. The first telescopic drive member 15 is an electric telescopic rod or a cylinder. The output end of the first telescopic drive member 15 is fixedly connected to a first mounting ring 16 through a connecting plate. The bottom of the first mounting ring 16 is fixedly connected to a first permanent magnet ring 17. The top of the connecting block 13 is fixedly connected to a permanent magnet block 18.

[0042] When the dice are shaken in the shaking box 7, the flipping mechanism stops rotating the shaking box 7 vertically in the later stages of shaking. At this time, the first telescopic drive 15 drives the first mounting ring 16 and the first permanent magnet ring 17 to move downward. The first permanent magnet ring 17 generates a repulsive force on the permanent magnet block 18 on the connecting block 13, causing the permanent magnet block 18, the connecting block 13, and the transmission column 11 to move downward. The transmission column 11 drives the push plate 12 to move downward, so that the push plate 12 moves to a distance of one and a half dice height from the bottom of the shaking box 7. While moving, the shaking box 7 continues to rotate, allowing the dice to move inside the shaking box 7. The push plate 12 reduces the space of the shaking box 7, and the spring 14 and the repulsive force move up and down elastically, so that after each die is shaken fully, they will not overlap. Each die will have one side attached to the bottom of the shaking box 7, which is convenient for counting each die and reduces the reduction and inaccuracy of data statistics caused by overlapping. This further improves the accuracy and efficiency of mathematical probability statistics.

[0043] Working Principle: In use, dice with numbers on each face are first placed into each shaking box 7 through the transparent material door 8. The first drive mechanism drives the support shaft 2 to rotate, which in turn drives the mounting plate 3 to rotate. The mounting plate 3 drives multiple drive shafts 5 and the mounting frame 6 to rotate. Simultaneously, the first drive gear 34 on the drive shaft 5 meshes with the drive gear ring 33, thereby driving the first drive gear 34 and drive shaft 5 to rotate. The drive shaft 5 drives the mounting frame 6 to rotate, which in turn drives the shaking box 7 to rotate via the flip shaft 44. The shaking box 7 then drives the dice inside to rotate. Simultaneously, the second telescopic drive component 41 drives the drive rack 42 to reciprocate, which in turn drives the second drive gear 43 to reciprocate. 43 drives the flipping shaft 44 and the shaking box 7 to reciprocate, enabling multiple shaking boxes 7 to rotate simultaneously in the horizontal and vertical directions. Multiple shaking boxes 7 mimic the action of manual shaking, ensuring that the dice inside the shaking box 7 are fully shaken. At the same time, the shaking action of each shaking box 7 is consistent, preventing the generation of random probability due to inconsistent shaking, further improving the shaking effect of the dice and increasing the accuracy of subsequent probability statistics. After shaking is completed, the bottom surface of the dice is photographed by the camera 9 on the mounting frame 6, and the image is sent to the processor for processing. It is then displayed on the screen for easy statistical analysis by the user. This achieves automatic acquisition of multiple sets of data information at one time, eliminating the need for manual shaking of the dice for statistical analysis, thus improving the efficiency and accuracy of mathematical probability teaching.

[0044] When the dice are shaken in the shaking box 7, the flipping mechanism stops rotating the shaking box 7 vertically in the later stages of shaking. At this time, the first telescopic drive 15 drives the first mounting ring 16 and the first permanent magnet ring 17 to move downward. The first permanent magnet ring 17 generates a repulsive force on the permanent magnet block 18 on the connecting block 13, causing the permanent magnet block 18, the connecting block 13, and the transmission column 11 to move downward. The transmission column 11 drives the push plate 12 to move downward, so that the push plate 12 moves to a distance of one and a half dice height from the bottom of the shaking box 7. While moving, the shaking box 7 continues to rotate, allowing the dice to move inside the shaking box 7. The push plate 12 reduces the space of the shaking box 7, and the spring 14 and the repulsive force move up and down elastically, so that after each die is shaken fully, they will not overlap. Each die will have one side attached to the bottom of the shaking box 7, which is convenient for counting each die and reduces the reduction and inaccuracy of data statistics caused by overlapping. This further improves the accuracy and efficiency of mathematical probability statistics.

[0045] The foregoing has only described certain exemplary embodiments of the present invention by way of illustration. Undoubtedly, those skilled in the art can modify the described embodiments in various ways without departing from the spirit and scope of the present invention. Therefore, the foregoing drawings and descriptions are illustrative in nature and should not be construed as limiting the scope of protection of the claims of the present invention.

Claims

1. A mathematical probability demonstration device, characterized in that, include: A support plate (1) is rotatably connected to the top of the support plate (1). A mounting plate (3) is fixedly connected to the outer surface of the support plate (2). Multiple mounting plates (4) are fixedly connected to the outer surface of the mounting plate (3). A transmission shaft (5) is rotatably connected to the mounting plate (4). A mounting frame (6) is fixedly connected to the top of the transmission shaft (5). A shaking box (7) is rotatably connected inside the mounting frame (6). A die with numbers is placed inside the shaking box (7). The bottom of the shaking box (7) is threaded with a transparent material door (8), and a camera (9) is fixedly connected inside the mounting frame (6); The outer surface of the support shaft (2) is connected to a first drive mechanism that is connected to the support plate (1). The first drive mechanism is used to drive the support shaft (2) to rotate. The outer surface of the drive shaft (5) is connected to a second drive mechanism that is connected to the support plate (1). The second drive mechanism is used to drive the drive shaft (5) to rotate. The outer surface of the rocking box (7) is connected to a flipping mechanism that is connected to the mounting frame (6). The flipping mechanism is used to drive the rocking box (7) to rotate.

2. The mathematical probability demonstration device according to claim 1, characterized in that, A transmission column (11) is slidably connected to the rocking box (7). A push plate (12) that is slidably connected to the bottom end of the transmission column (11) is fixedly connected to the bottom end of the rocking box (7). A connecting block (13) is fixedly connected to the top end of the transmission column (11). A spring (14) that is fixedly connected to the connecting block (13) is fixedly sleeved on the outer surface of the transmission column (11). A push mechanism that is connected to the support plate (1) is driven to the top of the connecting block (13). The push mechanism is used to drive the connecting block (13) to move downward.

3. The mathematical probability demonstration device according to claim 2, characterized in that, The pushing mechanism includes a first telescopic drive member (15) fixedly connected to the support plate (1). The output end of the first telescopic drive member (15) is fixedly connected to a first mounting ring (16) via a connecting plate. The bottom of the first mounting ring (16) is fixedly connected to a first permanent magnet ring (17). The top of the connecting block (13) is fixedly connected to a permanent magnet block (18).

4. The mathematical probability demonstration device according to claim 1, characterized in that, The first driving mechanism includes a rotating drive member (21) fixedly connected to the support plate (1). The output end of the rotating drive member (21) is fixedly connected to a drive shaft (22) via a coupling. A first drive gear (23) is fixedly sleeved on the outer surface of the drive shaft (22). A second drive gear (24) is meshed with the outer surface of the first drive gear (23) and fixedly sleeved on the support shaft (2).

5. The mathematical probability demonstration device according to claim 1, characterized in that, The second drive mechanism includes a mounting column (31) fixedly connected to the support plate (1), a second mounting ring (32) fixedly connected to the top of the mounting column (31), a transmission gear ring (33) fixedly connected inside the second mounting ring (32), and a first transmission gear (34) meshing with the transmission shaft (5) on the inner surface of the transmission gear ring (33).

6. The mathematical probability demonstration device according to claim 1, characterized in that, The flipping mechanism includes a second telescopic drive member (41) fixedly connected to the mounting frame (6). The output end of the second telescopic drive member (41) is fixedly connected to a transmission rack (42) via a mounting block. A second transmission gear (43) is meshed on one side of the transmission rack (42). A flipping shaft (44) rotatably connected to the mounting frame (6) is fixedly sleeved in the middle of the second transmission gear (43). One end of the flipping shaft (44) is fixedly connected to the rocking box (7).

7. The mathematical probability demonstration device according to claim 1, characterized in that, The camera (9) is connected to the display screen and the processor.

8. A mathematical probability demonstration device according to claim 1, characterized in that, The transparent material door (8) is made of tempered glass.

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