CN112150891B - Mathematical probability demonstration device - Google Patents
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- CN112150891B CN112150891B CN202011036231.XA CN202011036231A CN112150891B CN 112150891 B CN112150891 B CN 112150891B CN 202011036231 A CN202011036231 A CN 202011036231A CN 112150891 B CN112150891 B CN 112150891B
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- 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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Abstract
The invention belongs to the technical field of probability demonstration, and particularly relates to a mathematical probability demonstration device which comprises a box body, wherein a rectangular groove is formed in the inner bottom wall of the box body, an elastic plate is hinged to the rectangular groove, one end of the elastic plate is hinged to one end, close to the middle part of the bottom wall of the box body, of the rectangular groove, the other end of the elastic plate is close to the edge of an inner cavity of the box body and freely rotates, a guide groove is formed in the top end of the elastic plate, the depth of one end, far away from the hinge joint of the elastic plate, of the guide groove is larger than that of one end, close to the hinge joint of the elastic plate, and the width of one end, far away from the hinge joint of the elastic plate, of the guide groove is smaller than that of one end, close to the hinge joint of the elastic plate, of the guide groove; according to the invention, different colors are marked on the two sides of the disc, and the colors on the disc are identified by the color identifier, so that the disc throwing result is accurately and quickly counted, a manual counting mode is replaced, the counting process is quick and efficient, errors and errors which may occur in the counting process are reduced, and the accuracy of the probability is ensured.
Description
Technical Field
The invention belongs to the technical field of probability demonstration, and particularly relates to a mathematical probability demonstration device.
Background
Probability is also called likelihood, chance, or probability. Probability is the basic concept of mathematical probability theory, is a real number between 0 and 1, and is a measure of the probability of a random event occurring. The concept of probability is applied to the amount which can represent the occurrence probability of random events in life, and is an attribute which is inherent in the events and does not change with the subjective intention of people.
Some technical schemes related to probability demonstration also appear in the prior art, such as a Chinese patent with application number CN201510151874.1, the patent discloses a high mathematics probability demonstration device, which comprises a base, an ejection assembly, a coin supply assembly and a poke rod, wherein one coin is thrown out successively in the demonstration process, so that the problems of time and labor waste caused when a person who carries out throwing with a hand holds the coins by a spotter are avoided, and manpower is liberated; the throwing of the coins is mainly controlled by the air cylinder, the spring and the electromagnet, and the automation degree is high; the spring, the first cylinder and the electromagnet of each ejection assembly are the same, so that the same throwing environment can be ensured when the coin is thrown each time in the throwing process of the coin, and the accuracy of the test result and the persuasion of the test are ensured; this presentation device, convenient operation, simple can popularize and apply in university campus, but this patent need throw many pieces of coins, and the throwing all needs artifical statistics at every turn for the statistical process is wasted time and energy, and has the difference between each piece of coin, and the positive and negative weight of coin has certain weight difference equally, makes the demonstration result have certain error, thereby influences the accuracy of probability.
Therefore, the invention provides the mathematical probability demonstration device, the two sides of the disc are marked with different colors, and the colors on the disc are identified by the color identifier, so that the disc throwing result is accurately and quickly counted, a manual counting mode is replaced, the counting process is quick and efficient, errors and errors possibly occurring in the counting process are reduced, and the accuracy of the probability is ensured.
Disclosure of Invention
In order to make up for the defects of the prior art, the mathematical probability demonstration device provided by the invention marks different colors on the two sides of the disc, and identifies the colors on the disc through the color identifier, so that the disc throwing result is accurately and quickly counted, a manual counting mode is replaced, the counting process is quick and efficient, errors and errors possibly occurring in the counting process are reduced, and the accuracy of the probability is ensured.
The technical scheme adopted by the invention for solving the technical problems is as follows: the invention relates to a mathematical probability demonstration device, which comprises a box body, wherein a rectangular groove is arranged on the inner bottom wall of the box body, an elastic plate is hinged at the rectangular groove, one end of the elastic plate is hinged at one end of the rectangular groove close to the middle part of the bottom wall of the box body, the other end of the elastic plate is close to the edge of an inner cavity of the box body and freely rotates, a guide groove is arranged at the top end of the elastic plate, the depth of one end, away from the hinge joint, of the guide groove is larger than that of one end close to the hinge joint of the elastic plate, the width of one end, away from the hinge joint, of the guide groove is smaller than that of one end close to the hinge joint of the elastic plate, an electromagnet is fixed at the bottom of the rectangular groove, an iron block is arranged at the bottom of the elastic plate and used for controlling the movement of the elastic plate, more than two reset springs are arranged at the bottom of the elastic plate, the bottoms of the reset springs are fixed on the bottom wall of the rectangular groove, sliding grooves and mounting grooves are arranged on the symmetrical side walls of the inner cavity of the box body, the sliding groove is communicated with the corresponding mounting groove, a sliding block is arranged at the bottom of the inner cavity of the box body, clamping blocks are arranged at two ends of the sliding block and are positioned in the sliding groove, two pulleys are rotatably mounted in the mounting groove, two connecting ropes are arranged at the top of the elastic plate, one ends of the connecting ropes, far away from the elastic plate, are fixed on the clamping blocks through the corresponding two pulleys, the connecting ropes are positioned in the sliding groove and are used for driving the sliding block to move, a limiting spring is arranged between one side of the sliding block, far away from the elastic plate, and the box body, and is used for resetting the sliding block, a disc is arranged at the bottom of the inner cavity of the box body and is made of non-ferromagnetic metal, the colors of the front and the back of the disc are different, a color identifier is fixed on the inner side wall of the box body and is used for identifying the colors of the disc, and a controller and a display screen are arranged in the box body, the controller is electrically connected with the display screen, the controller is used for controlling the demonstration device to work, and the display screen is used for displaying results; when the device works, a plurality of coins need to be thrown by the conventional coin throwing device, manual statistics is needed for each throwing, so that the statistics process is time-consuming and labor-consuming, each coin has a difference, and the weights of the front side and the back side of each coin have a certain weight difference, so that a demonstration result has a certain error, and the accuracy of probability is influenced; when the box is used, the electromagnet generates suction to the iron block at the bottom of the elastic plate, so that the elastic plate rotates around the hinged point of the elastic plate, and the elastic plate is kept parallel to the bottom of the inner cavity of the box body, so that the reset spring is extruded; then the disc is placed on the elastic plate, and the disc moves to one side of the guide groove far away from the hinge point of the elastic plate under the action of gravity, namely the deepest part of the guide groove; the electromagnet stops working under the control of the controller, so that the attraction of the electromagnet to the iron block disappears, and the elastic plate rotates under the action of the return spring; the elastic plate stops rotating when rotating to the maximum rotation stroke, the disc in the guide groove is thrown out, the thrown disc moves in the air for a distance and then falls to the bottom of the inner cavity of the box body, and the disc stops moving after short-time rotation or collision; then the electromagnet generates suction force on the iron block again to enable the elastic plate to be forced to rotate, and the connecting rope is pulled in the rotation process of the elastic plate, so that the sliding block at the other end of the connecting rope is pulled and moves along the length direction of the sliding block; the sliding block is contacted with the disc in the moving process, so that the disc is brought to the direction of the elastic plate, and the disc finally returns to the top of the elastic plate and slides into the bottom of the guide groove along the guide groove; after the disc moves to the bottom of the guide groove, the color recognizer on the inner side wall of the box body recognizes the color of the surface of the disc and transmits the obtained data to the controller, and then the elastic plate is ejected again, so that the repeated action is finished; the data obtained by the color recognizer is recorded by the controller until the set throwing times are finished, and the final result is displayed on a display screen; according to the invention, different colors are marked on the two sides of the disc, and the colors on the disc are identified by the color identifier, so that the disc throwing result is accurately and quickly counted, a manual counting mode is replaced, the counting process is quick and efficient, errors and errors which may occur in the counting process are reduced, and the accuracy of the probability is ensured; the symmetric disks are thrown, so that the movement of the disks is not influenced by the difference of the patterns on the two sides of the disks, the randomness of the falling of the disks on the ground is improved, the problem of result deviation caused by the fact that the center of gravity of the disks deviates due to the difference of the patterns on the two sides of the coins is solved, and meanwhile, the interference of irrelevant variables is reduced by throwing the same disk for many times, so that the test result is more scientific and effective.
Preferably, two air cylinders are fixed at the top end of the elastic plate, a baffle is fixed in the installation groove, a circular limiting groove is formed in one end, away from the hinge joint of the elastic plate, of the guide groove, a through hole is formed in the bottom of the limiting groove, a telescopic rod is arranged at the through hole, the through hole is located at the edge of the limiting groove, a return spring is arranged in the air cylinder, an air pipe is arranged between the air cylinder and the telescopic rod and used for air exchange between the air cylinder and the telescopic rod, the top end of the telescopic rod is flush with the bottom wall of the limiting groove, and the diameter value of the limiting groove is larger than that of the disc; when the telescopic rod is in work, the disc slides into the limiting groove under the guiding action of the guide groove, the air cylinder is contacted with the baffle plate when the elastic plate moves to the maximum stroke position of the elastic plate through the air cylinder, and the air cylinder is pressed, so that air in the air cylinder enters the inner cavity of the telescopic rod along the air pipe; the length of the telescopic rod is extended by the gas entering the inner cavity of the telescopic rod, so that the telescopic rod impacts the disc, and the impact of the telescopic rod on the disc is positioned at the edge of the disc because the position of the telescopic rod is positioned at the edge of the limiting groove, so that the disc is in a rolling state after being thrown out; the return spring drives the air cylinder to reset after the disc is thrown out, so that the air cylinder can continuously perform inflating action; the setting through the telescopic link makes the motion of disc more not have regularity to state when making the disc steady state has more randomness, and then has guaranteed the authenticity and the validity of demonstration result.
Preferably, a pressing plate is rotatably mounted in the box body, two tensioning ropes are arranged between the pressing plate and the sliding block, more than two reset ropes are arranged between one side of the pressing plate, which is far away from the elastic plate, and the inner side wall of the box body, the tensioning ropes and the reset ropes are elastic ropes, and the height value of the sliding block is smaller than the diameter value of the disc; when the disk type demonstration device works, the disk can roll or rotate on the spot at the bottom of the disk after falling into the bottom of the box body, so that the demonstration time is prolonged, and the demonstration efficiency is influenced; through the arrangement of the pressing plate, the sliding block drives the tensioning rope to move while being pulled by the connecting rope, so that the tensioning rope generates tension on the pressing plate; the tension of the tension rope on the pressure plate enables the pressure plate to rotate, so that the pressure plate is in contact with the top of the sliding block and keeps a flush state; the pressure plate is contacted with the rolling or in-situ rotating disk in the process of rotating until the pressure plate is contacted with the sliding block, so that the disk is pressed downwards, and the unstable state of the disk is changed into a more stable state; the disc is enabled to be rapidly stabilized through the arrangement of the pressing plate, so that the result is not influenced in the moving process of the sliding block, the demonstration time is shortened, the demonstration process is prevented from being influenced by the rotation of the disc or the process of winding a ring at the bottom of the box body, and the demonstration efficiency is improved; the tension of the tensioning rope is reduced in the process that the sliding block returns to the initial position, and the pressing plate returns to the initial position under the action of the tension of the resetting rope, so that the continuous work of the pressing plate is guaranteed.
Preferably, the top of the two ends of the sliding block is provided with more than two clamping grooves along the moving direction of the sliding block, more than two mounting plates are fixed on the inner side wall of the box body along the moving direction of the sliding block, an elastic plate is fixed at the bottom end of each mounting plate and used for driving the sliding block to vibrate, and the sliding block is of an arc-shaped structure; when the disc type spring plate is in work, the final positions of the discs in the box body are distributed randomly, so that the positions of the discs falling on the spring plate are uncertain, and the discs can possibly not enter the limiting groove along the guide groove if the discs are close to two ends of the sliding block; by arranging the elastic plate, the elastic plate is deformed after being contacted with the sliding block in the moving process of the sliding block, the elastic plate enters the clamping groove when moving to the clamping groove, the elastic plate returns to the original shape after entering the clamping groove, and the sliding block is impacted in the returning process, so that the sliding block vibrates; the vibration generated on the sliding block acts on the disk contacted with the sliding block, so that the disk is continuously impacted, and the disk moves towards the middle part of the sliding block due to the arc-shaped structure of the sliding block; the disc can smoothly enter the guide groove after moving to the middle part of the sliding block and enter the limiting groove under the guiding action of the guide groove, so that the disc can accurately return to the initial position, the disc is smoothly ejected, the demonstration result of the invention is ensured, the error of the result caused by the position deviation of the disc is avoided, the color recognizer can smoothly recognize the color on the disc, and the air drop is avoided.
Preferably, the inner bottom wall of the box body is provided with a mounting hole, the mounting hole is provided with a magnetic block, the top of the magnetic block is flush with the inner bottom wall of the box body, a square groove is formed in the middle of the bottom of the sliding block, a first spring is fixed at the square groove, a shifting block is fixed at one end, facing the elastic plate, of the first spring, and the shifting block is made of an iron material; when the disc spring is in work, if the box body is placed unevenly or the friction between the disc and the elastic plate is too large, the disc is easy to block moving on the elastic plate, so that the disc is difficult to move into the limiting groove; the poking block is popped out by the spring after the force of the spring I is greater than the acting force of the magnetic block on the poking block, so that the poking block impacts the disc in the middle of the sliding block, the disc obtains acceleration, the disc can smoothly enter the limiting groove, and the disc can reach the initial position.
Preferably, the mounting hole is positioned between the sliding block and the elastic plate and close to the elastic plate, and the height value of the square groove is smaller than the thickness value of the disc; when the disc ejecting device works, the position of the mounting hole is close to one side of the elastic plate, so that the disc is ejected only by the shifting block when the sliding block moves to the edge of the elastic plate, the disc has the maximum acceleration, the moving distance of the disc is increased, the disc can smoothly enter the limiting groove, and the continuous demonstration is guaranteed; the height value of square groove is less than the thickness value of disc and makes the disc can't enter into square groove in, avoids the disc to get into the problem of blocking that appears behind the square groove to make the shifting block can release the disc smoothly, and then guaranteed the normal work of shifting block.
The invention has the following beneficial effects:
1. according to the mathematical probability demonstration device, the two sides of the disc are marked with different colors, and the colors on the disc are identified through the color identifier, so that the disc throwing result is accurately and quickly counted, a manual counting mode is replaced, the counting process is quick and efficient, errors and errors possibly occurring in the counting process are reduced, and the accuracy of the probability is guaranteed.
2. According to the mathematical probability demonstration device, the symmetrical disks are thrown, so that the movement of the disks is not influenced by the difference of the patterns on the two surfaces of the disks, the randomness of the falling of the disks on the ground is improved, the problem of result deviation caused by the gravity center shift of the coins due to the difference of the patterns on the two surfaces of the coins is solved, meanwhile, the influence of irrelevant variables is reduced by throwing the same disk for multiple times, and the test result is more scientific and effective.
3. According to the mathematical probability demonstration device, the resetting of the disc can be rapidly realized through the matching of the pressing plate and the shifting block, so that the unnecessary moving time of the disc is reduced, the total time required by demonstration is shortened, and the demonstration efficiency is improved.
Drawings
The invention will be further explained with reference to the drawings.
FIG. 1 is a three-dimensional view of the present invention;
FIG. 2 is a schematic structural view of the present invention;
FIG. 3 is an enlarged view of a portion of FIG. 2 at A;
FIG. 4 is a schematic diagram of the position relationship between the first spring and the slider;
in the figure: 1. a box body; 2. a rectangular groove; 3. a spring plate; 4. a guide groove; 5. an electromagnet; 6. an iron block; 7. a return spring; 8. a chute; 9. mounting grooves; 10. a slider; 11. a clamping block; 12. a pulley; 13. connecting ropes; 14. a limiting spring; 15. a disc; 16. a color identifier; 17. an air cylinder; 18. a baffle plate; 19. a limiting groove; 20. a telescopic rod; 21. pressing a plate; 22. tensioning the rope; 23. a reset rope; 24. a card slot; 25. mounting a plate; 26. an elastic plate; 27. a magnetic block; 28. shifting blocks; 29. a square groove; 30. a first spring.
Detailed Description
In order to make the technical means, the creation characteristics, the achievement purposes and the effects of the invention easy to understand, the invention is further described with the specific embodiments.
As shown in fig. 1 to 4, the mathematical probability demonstration apparatus comprises a case 1, wherein a rectangular groove 2 is formed in the bottom wall of the case 1, an elastic plate 3 is hinged at the rectangular groove 2, one end of the elastic plate 3 is hinged at one end of the rectangular groove 2 close to the middle of the bottom wall of the case 1, the other end of the elastic plate 3 is close to the edge of an inner cavity of the case 1 and freely rotates, a guide groove 4 is formed in the top end of the elastic plate 3, the depth of one end, far away from the hinge point of the elastic plate 3, of the guide groove 4 is larger than that of one end close to the hinge point of the elastic plate 3, the width of one end, far away from the hinge point of the elastic plate 3, of the guide groove 4 is smaller than that of one end close to the hinge point of the elastic plate 3, an electromagnet 5 is fixed at the bottom of the rectangular groove 2, an iron block 6 is arranged at the bottom of the elastic plate 3, the electromagnet 5 is used for controlling the movement of the elastic plate 3, two or more return springs 7 are arranged at the bottom of the elastic plate 3, the bottom of the reset spring 7 is fixed on the bottom wall of the rectangular groove 2, the symmetrical side walls of the inner cavity of the box body 1 are respectively provided with a sliding groove 8 and a mounting groove 9, the sliding groove 8 is communicated with the corresponding mounting groove 9, the bottom of the inner cavity of the box body 1 is provided with a sliding block 10, two ends of the sliding block 10 are provided with clamping blocks 11, the clamping blocks 11 are positioned in the sliding groove 8, two pulleys 12 are rotatably mounted in the mounting groove 9, the top of the elastic plate 3 is provided with two connecting ropes 13, one end of each connecting rope 13, far away from the elastic plate 3, is fixed on the clamping block 11 through the corresponding two pulleys 12, the connecting ropes 13 are positioned in the sliding groove 8, the connecting ropes 13 are used for driving the sliding block 10 to move, a limit spring 14 is arranged between one side of the sliding block 10, far away from the elastic plate 3, and the box body 1, the limit spring 14 is used for resetting the sliding block 10, a disc 15 is placed at the bottom of the inner cavity of the box body 1, the disc 15 is made of non-ferromagnetic metal, the color of the front side and the back side of the disc 15 are different, a color identifier 16 is fixed on the inner side wall of the box body 1, the color identifier 16 is used for identifying the color of the disc 15, a controller and a display screen are arranged in the box body 1, the controller is electrically connected with the display screen, the controller is used for controlling the work of the demonstration device, and the display screen is used for displaying results; when the device works, a plurality of coins need to be thrown by the conventional coin throwing device, manual statistics is needed for each throwing, so that the statistics process is time-consuming and labor-consuming, each coin has a difference, and the weights of the front side and the back side of each coin have a certain weight difference, so that a demonstration result has a certain error, and the accuracy of probability is influenced; when the box is used, the electromagnet 5 generates suction to the iron block 6 at the bottom of the elastic plate 3, so that the elastic plate 3 rotates around a hinge point of the elastic plate, the elastic plate 3 is kept parallel to the bottom of the inner cavity of the box body 1, and the return spring 7 is extruded; then, the disc 15 is placed on the elastic plate 3, and the disc 15 moves to one side of the guide groove 4 away from the hinge point of the elastic plate 3 under the action of gravity, namely the deepest part of the guide groove 4; under the control of the controller, the electromagnet 5 stops working, so that the attraction of the electromagnet 5 to the iron block 6 disappears, and the elastic plate 3 rotates under the action of the return spring 7; the elastic plate 3 stops rotating when rotating to the maximum rotation stroke, the disc 15 in the guide groove 4 is thrown out, the thrown disc 15 falls to the bottom of the inner cavity of the box body 1 after moving for a certain distance in the air, and stops moving after short rotation or collision; then the electromagnet 5 generates suction force to the iron block 6 again, so that the elastic plate 3 is forced to rotate, and the connecting rope 13 is pulled in the rotation process of the elastic plate 3, so that the sliding block 10 at the other end of the connecting rope 13 is pulled and moves along the length direction of the sliding block 10; the slider 10 contacts the disc 15 during the movement, so that the disc 15 is brought towards the springboard 3, so that the disc 15 finally returns to the top of the springboard 3 and slides down the guide slot 4 into the bottom of the guide slot 4; after the disc 15 moves to the bottom of the guide groove 4, the color recognizer 16 on the inner side wall of the box body 1 recognizes the color of the surface of the disc 15 and transmits the obtained data to the controller, and then the elastic plate 3 is ejected again, so that the repeated action is finished; the data obtained by the color identifier 16 is recorded by the controller until the set throwing times are finished, and the final result is displayed on the display screen; according to the invention, different colors are marked on the two sides of the disc 15, and the color identifier 16 is used for identifying the color on the disc 15, so that the throwing result of the disc 15 is accurately and quickly counted, a manual counting mode is replaced, the counting process is quick and efficient, errors and errors which may occur in the counting process are reduced, and the accuracy of the probability is ensured; the symmetric disc 15 is thrown, so that the movement of the disc 15 is not influenced by the difference of the patterns on the two sides of the disc, the randomness of the falling of the disc 15 on the ground is improved, the problem of result deviation caused by the fact that the center of gravity of the coin deviates due to the difference of the patterns on the two sides of the coin is solved, and meanwhile, the interference of irrelevant variables is reduced by throwing the same disc 15 for many times, so that the test result is more scientific and effective.
As a specific embodiment of the present invention, two air cylinders 17 are fixed at the top end of the elastic plate 3, a baffle 18 is fixed in the installation groove 9, a circular limiting groove 19 is arranged at one end of the guide groove 4 away from the hinge point of the elastic plate 3, a through hole is arranged at the bottom of the limiting groove 19, a telescopic rod 20 is arranged at the through hole, the through hole is located at the edge of the limiting groove 19, a return spring is arranged in the air cylinder 17, an air pipe is arranged between the air cylinder 17 and the telescopic rod 20, the air pipe is used for gas exchange between the air cylinder 17 and the telescopic rod 20, the top end of the telescopic rod 20 is flush with the bottom wall of the limiting groove 19, and the diameter value of the limiting groove 19 is greater than that of the disc 15; in operation, the disc 15 slides down into the limit groove 19 under the guiding action of the guide groove 4, and the air cylinder 17 is arranged, so that the air cylinder 17 is contacted with the baffle 18 when the elastic plate 3 moves to the maximum stroke position, and the air cylinder 17 is pressed, so that the air in the air cylinder 17 enters the inner cavity of the telescopic rod 20 along the air pipe; the air entering the inner cavity of the telescopic rod 20 enables the telescopic rod 20 to extend in length, so that the telescopic rod 20 impacts the disc 15, and the position of the telescopic rod 20 is located at the edge of the limiting groove 19, so that the impact of the telescopic rod 20 on the disc 15 is located at the edge of the disc 15, and the disc 15 is in a rolling state after being thrown out; the return spring drives the air cylinder 17 to reset after the disc 15 is thrown out, so that the air cylinder 17 can continuously perform inflating action; the movement of the disc 15 is not regular through the arrangement of the telescopic rod 20, so that the state of the disc 15 in a stable state is random, and the authenticity and effectiveness of a demonstration result are guaranteed.
As a specific embodiment of the present invention, a pressing plate 21 is rotatably mounted in the box body 1, two tensioning ropes 22 are disposed between the pressing plate 21 and the slider 10, more than two return ropes 23 are disposed between one side of the pressing plate 21 away from the elastic plate 3 and the inner side wall of the box body 1, the tensioning ropes 22 and the return ropes 23 are both elastic ropes, and the height value of the slider 10 is smaller than the diameter value of the disc 15; when the demonstration device works, the disc 15 can roll or rotate on the spot at the bottom of the disc 15 after falling into the bottom of the box body 1, so that the demonstration time is prolonged, and the demonstration efficiency is influenced; by arranging the pressing plate 21, the slider 10 drives the tensioning rope 22 to move while the slider 10 is pulled by the connecting rope 13, so that the tensioning rope 22 generates tension on the pressing plate 21; the tension of the tension rope 22 to the pressure plate 21 causes the pressure plate 21 to rotate, so that the pressure plate 21 is in contact with the top of the slider 10 and is kept in a flush state; the pressing plate 21 contacts the disk 15 which rolls or rotates in place during the process of rotating until contacting the slider 10, so that the disk 15 is pressed downwards, and the unstable state of the disk 15 is changed into a more stable state; the disc 15 is enabled to be rapidly stabilized through the arrangement of the pressing plate 21, so that the result cannot be influenced in the moving process of the sliding block 10, the demonstration time is shortened, the demonstration process is prevented from being influenced by the rotation of the disc 15 or the process of winding a circle at the bottom of the box body 1, and the demonstration efficiency is improved; the tension of the tension rope 22 is reduced in the process of returning the slide block 10 to the initial position, and the pressure plate 21 is returned to the initial position under the action of the tension of the reset rope 23, so that the continuous work of the pressure plate 21 is ensured.
As a specific embodiment of the present invention, the top of the two ends of the slider 10 is provided with two or more slots 24 along the moving direction of the slider 10, two or more mounting plates 25 are fixed on the inner side wall of the box 1 along the moving direction of the slider 10, an elastic plate 26 is fixed at the bottom end of the mounting plate 25, the elastic plate 26 is used for driving the slider 10 to generate vibration, and the slider 10 is of an arc-shaped structure; when the device works, the final positions of the disks 15 in the box body 1 are distributed randomly, so that the positions of the disks 15 falling on the elastic plate 3 are uncertain, and if the disks 15 are close to the two ends of the sliding block 10, the disks 15 can possibly not enter the limiting grooves 19 along the guide grooves 4; by arranging the elastic plate 26, the elastic plate 26 is deformed after contacting the slider 10 when the slider 10 moves through the elastic plate 26, the elastic plate 26 enters the clamping groove 24 when moving to the clamping groove 24, the elastic plate 26 is restored to the original shape after entering the clamping groove 24, and the slider 10 is impacted in the restoration process, so that the slider 10 vibrates; the vibration generated on the slider 10 acts on the disk 15 contacted with the slider 10, so that the disk 15 is continuously impacted, and the disk 15 moves towards the middle part of the slider 10 due to the arc-shaped structure of the slider 10; after moving to the middle of the slider 10, the disc 15 can smoothly enter the guide groove 4 and enter the limit groove 19 under the guiding action of the guide groove 4, so that the disc 15 can accurately return to the initial position, and the smooth ejection of the disc 15 is ensured, thereby ensuring the demonstration result of the invention, avoiding the error of the result caused by the position deviation of the disc 15, enabling the color recognizer 16 to smoothly recognize the color on the disc 15, and avoiding the occurrence of an air drop condition.
As a specific embodiment of the invention, the inner bottom wall of the box body 1 is provided with a mounting hole, the mounting hole is provided with a magnetic block 27, the top of the magnetic block 27 is flush with the inner bottom wall of the box body 1, a square groove 29 is arranged at the middle position of the bottom of the sliding block 10, a first spring 30 is fixed at the square groove 29, one end of the first spring 30, which faces the elastic plate 3, is fixed with a shifting block 28, and the shifting block 28 is made of an iron material; when the box body 1 is placed unevenly or the friction between the disc 15 and the elastic plate 3 is too large, the movement of the disc 15 on the elastic plate 3 is easily blocked, so that the disc 15 is difficult to move into the limiting groove 19, the magnetic block 27 is arranged, when the sliding block 10 moves to the position of the magnetic block 27, the magnetic block 27 attracts the shifting block 28, the shifting block 28 moves in the opposite direction relative to the sliding block 10 along with the continuous movement of the sliding block 10, and the first spring 30 is extruded; after the stress of the first spring 30 is larger than the acting force of the magnetic block 27 on the shifting block 28, the shifting block 28 is popped up by the first spring 30, so that the shifting block 28 impacts the disk 15 in the middle of the sliding block 10, the disk 15 obtains acceleration, the disk 15 can smoothly enter the limiting groove 19, and the disk 15 can reach the initial position.
As a specific embodiment of the present invention, the position of the mounting hole is located between the slider 10 and the elastic plate 3 and close to the elastic plate 3, and the height value of the square groove 29 is smaller than the thickness value of the disc 15; when the disc ejecting device works, the position of the mounting hole is close to one side of the elastic plate 3, so that the sliding block 10 ejects the disc 15 after moving to the shifting block 28 at the edge of the elastic plate 3, the disc 15 has the maximum acceleration, the moving distance of the disc 15 is increased, the disc 15 can smoothly enter the limiting groove 19, and the continuous demonstration is ensured; the height value of square groove 29 is less than the thickness value of disc 15 and makes disc 15 can't enter into square groove 29 in, avoids the disc 15 to get into the problem of blocking that appears behind square groove 29 to make shifting block 28 release disc 15 smoothly, and then guaranteed shifting block 28's normal work.
When the device works, a plurality of coins need to be thrown by the conventional coin throwing device, manual statistics is needed for each throwing, so that the statistics process is time-consuming and labor-consuming, each coin has a difference, and the weights of the front side and the back side of each coin have a certain weight difference, so that a demonstration result has a certain error, and the accuracy of probability is influenced; when the box is used, the electromagnet 5 generates suction to the iron block 6 at the bottom of the elastic plate 3, so that the elastic plate 3 rotates around a hinge point of the elastic plate, the elastic plate 3 is kept parallel to the bottom of the inner cavity of the box body 1, and the return spring 7 is extruded; then, the disc 15 is placed on the elastic plate 3, and the disc 15 moves to one side of the guide groove 4 away from the hinge point of the elastic plate 3 under the action of gravity, namely the deepest part of the guide groove 4; under the control of the controller, the electromagnet 5 stops working, so that the attraction of the electromagnet 5 to the iron block 6 disappears, and the elastic plate 3 rotates under the action of the return spring 7; the elastic plate 3 stops rotating when rotating to the maximum rotation stroke, the disc 15 in the guide groove 4 is thrown out, the thrown disc 15 falls to the bottom of the inner cavity of the box body 1 after moving for a certain distance in the air, and stops moving after short rotation or collision; then the electromagnet 5 generates suction force to the iron block 6 again, so that the elastic plate 3 is forced to rotate, and the connecting rope 13 is pulled in the rotation process of the elastic plate 3, so that the sliding block 10 at the other end of the connecting rope 13 is pulled and moves along the length direction of the sliding block 10; the slider 10 contacts the disc 15 during the movement, so that the disc 15 is brought towards the springboard 3, so that the disc 15 finally returns to the top of the springboard 3 and slides down the guide slot 4 into the bottom of the guide slot 4; after the disc 15 moves to the bottom of the guide groove 4, the color recognizer 16 on the inner side wall of the box body 1 recognizes the color of the surface of the disc 15 and transmits the obtained data to the controller, and then the elastic plate 3 is ejected again, so that the repeated action is finished; the data obtained by the color identifier 16 is recorded by the controller until the set throwing times are finished, and the final result is displayed on the display screen; according to the invention, different colors are marked on the two sides of the disc 15, and the color identifier 16 is used for identifying the color on the disc 15, so that the throwing result of the disc 15 is accurately and quickly counted, a manual counting mode is replaced, the counting process is quick and efficient, errors and errors which may occur in the counting process are reduced, and the accuracy of the probability is ensured; the symmetric disc 15 is thrown, so that the movement of the disc 15 is not influenced by the difference of the patterns on the two sides of the disc, the randomness of the falling of the disc 15 on the ground is improved, the problem of result deviation caused by the fact that the center of gravity of the coin deviates due to the difference of the patterns on the two sides of the coin is solved, and meanwhile, the interference of irrelevant variables is reduced by throwing the same disc 15 for many times, so that the test result is more scientific and effective.
The foregoing illustrates and describes the principles, general features, and advantages of the present invention. It will be understood by those skilled in the art that the present invention is not limited to the embodiments described above, which are described in the specification and illustrated only to illustrate the principle of the present invention, but that various changes and modifications may be made therein without departing from the spirit and scope of the present invention, which fall within the scope of the invention as claimed. The scope of the invention is defined by the appended claims and equivalents thereof.
Claims (6)
1. A mathematical probability demonstration apparatus, characterized by: comprises a box body (1), the bottom wall in the box body (1) is provided with a rectangular groove (2), the rectangular groove (2) is hinged with an elastic plate (3), one end of the elastic plate (3) is hinged at one end of the rectangular groove (2) close to the middle part of the bottom wall of the box body (1), the other end of the elastic plate (3) is close to the edge of the inner cavity of the box body (1) and rotates freely, the top end of the elastic plate (3) is provided with a guide groove (4), the depth of one end of the guide groove (4) far away from the hinge joint of the elastic plate (3) is larger than that of one end close to the hinge joint of the elastic plate (3), the width of one end of the guide groove (4) far away from the hinge joint of the elastic plate (3) is smaller than that of one end close to the hinge joint of the elastic plate (3), the bottom of the rectangular groove (2) is fixed with an electromagnet (5), the bottom of the elastic plate (3) is provided with an iron block (6), and the electromagnet (5) is used for controlling the movement of the elastic plate (3), the bottom of the elastic plate (3) is provided with more than two reset springs (7), the bottoms of the reset springs (7) are fixed on the bottom wall of the rectangular groove (2), the symmetrical side walls of the inner cavity of the box body (1) are respectively provided with a sliding groove (8) and a mounting groove (9), the sliding grooves (8) are communicated with the corresponding mounting grooves (9), the bottom of the inner cavity of the box body (1) is provided with a sliding block (10), two ends of the sliding block (10) are provided with clamping blocks (11), the clamping blocks (11) are positioned in the sliding grooves (8), two pulleys (12) are rotatably mounted in the mounting grooves (9), the top of the elastic plate (3) is provided with two connecting ropes (13), one end of each connecting rope (13), far away from the elastic plate (3), is fixed on the clamping block (11) through the corresponding two pulleys (12), the connecting ropes (13) are positioned in the sliding grooves (8), and the connecting ropes (13) are used for driving the sliding block (10) to move, a limiting spring (14) is arranged between one side, far away from the elastic plate (3), of the sliding block (10) and the box body (1), the limiting spring (14) is used for resetting the sliding block (10), a disc (15) is placed at the bottom of an inner cavity of the box body (1), the disc (15) is made of non-ferromagnetic metal, the front side and the back side of the disc (15) are different in color, a color recognizer (16) is fixed on the inner side wall of the box body (1), the color recognizer (16) is used for recognizing the color of the disc (15), a controller and a display screen are arranged in the box body (1), the controller is electrically connected with the display screen, the controller is used for controlling the work of the demonstration device, and the display screen is used for displaying results;
when the box is used, the electromagnet (5) generates suction force on the iron block (6) at the bottom of the elastic plate (3), so that the elastic plate (3) rotates around a hinge point of the elastic plate, the elastic plate (3) is kept parallel to the bottom of the inner cavity of the box body (1), and the return spring (7) is extruded; then, the disc (15) is placed on the elastic plate (3), and the disc (15) moves to one side of the guide groove (4) far away from the hinge point of the elastic plate (3), namely the deepest part of the guide groove (4), under the action of gravity; under the control of the controller, the electromagnet (5) stops working, so that the attraction of the electromagnet (5) to the iron block (6) disappears, and the elastic plate (3) rotates under the action of the return spring (7); the springboard (3) stops rotating when rotating to the maximum rotation stroke, the disc (15) in the guide groove (4) is thrown out, the thrown disc (15) falls to the bottom of the inner cavity of the box body (1) after moving for a distance at one end in the air, and stops moving after short rotation or collision; then the electromagnet (5) generates suction force on the iron block (6) again, so that the elastic plate (3) is forced to rotate, and the connecting rope (13) is pulled in the rotating process of the elastic plate (3), so that the sliding block (10) at the other end of the connecting rope (13) is pulled and moves along the length direction of the sliding block (10); the sliding block (10) is contacted with the disc (15) in the moving process, so that the disc (15) is brought to the direction of the elastic plate (3), and the disc (15) finally returns to the top of the elastic plate (3) and slides into the bottom of the guide groove (4) along the guide groove (4); after the disc (15) moves to the bottom of the guide groove (4), the color recognizer (16) on the inner side wall of the box body (1) recognizes the color of the surface of the disc (15) and transmits the obtained data to the controller, then the elastic plate (3) is ejected again, so that repeated actions are completed, the data obtained by the color recognizer (16) is recorded by the controller until the set throwing times are completed, and the final result is displayed on the display screen.
2. A mathematical probability demonstration apparatus as claimed in claim 1 wherein: the utility model discloses a gas cylinder, including diving board (3), mounting groove (9), through-hole department, through-hole, the through-hole is located the edge of spacing groove (19), be equipped with return spring in inflator (17), be equipped with the trachea between inflator (17) and telescopic link (20), the trachea is used for the gas exchange between inflator (17) and telescopic link (20), the top of telescopic link (20) flushes with the diapire of spacing groove (19), and the diameter value of spacing groove (19) is greater than the diameter value of disc (15), and the one end of diving board (3) pin joint is kept away from in guide way (4) is equipped with circular shape spacing groove (19), and spacing groove (19) bottom is equipped with the through-hole, and the through-hole department is equipped with telescopic link (20).
3. A mathematical probability demonstration apparatus as claimed in claim 2 wherein: the elastic plate type disc-shaped spring plate is characterized in that a pressing plate (21) is rotatably mounted in the box body (1), two tensioning ropes (22) are arranged between the pressing plate (21) and the sliding block (10), more than two restoring ropes (23) are arranged between one side, far away from the spring plate (3), of the pressing plate (21) and the inner side wall of the box body (1), the tensioning ropes (22) and the restoring ropes (23) are elastic ropes, and the height value of the sliding block (10) is smaller than the diameter value of the disc (15).
4. A mathematical probability demonstration apparatus as claimed in claim 3 wherein: the top at slider (10) both ends is equipped with draw-in groove (24) more than two along the moving direction of slider (10), be fixed with mounting panel (25) more than two along the moving direction of slider (10) on the inside wall of box (1), the bottom mounting of mounting panel (25) has elastic plate (26), elastic plate (26) are used for driving slider (10) and produce the vibration, slider (10) are circular-arc structure.
5. A mathematical probability presentation device as claimed in claim 4, wherein: the bottom wall is equipped with the mounting hole in box (1), and mounting hole department is equipped with magnetic path (27), the top of magnetic path (27) flushes in the bottom wall of box (1), the bottom intermediate position of slider (10) is equipped with square groove (29), and square groove (29) department is fixed with spring (30), spring (30) are fixed with shifting block (28) towards the one end of diving board (3), shifting block (28) adopt the iron material to make.
6. A mathematical probability presentation device as claimed in claim 5, wherein: the position of the mounting hole is located between the sliding block (10) and the elastic plate (3) and close to the elastic plate (3), and the height value of the square groove (29) is smaller than the thickness value of the disc (15).
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CN106157753B (en) * | 2016-09-19 | 2018-11-02 | 安徽理工大学 | A kind of mathematical probabilities teaching emulator and its control system |
CN209312288U (en) * | 2018-06-21 | 2019-08-27 | 李睿 | Resetting apparatus is used in a kind of demonstration of Physical Experiment circular motion |
CN108961939A (en) * | 2018-08-27 | 2018-12-07 | 岳广琴 | A kind of higher mathematics demonstration device for probability |
CN108961942B (en) * | 2018-09-06 | 2020-09-29 | 安徽理工大学 | Probability theory experiment model teaching aid |
CN109272827B (en) * | 2018-11-09 | 2020-06-23 | 山东劳动职业技术学院(山东劳动技师学院) | Auxiliary demonstration device for probability learning |
CN110874971B (en) * | 2019-11-07 | 2022-04-15 | 临沂大学 | Mathematics probability class is with supplementary teaching equipment |
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