CN108039095B - Mathematical probabilities apparatus for demonstrating - Google Patents

Mathematical probabilities apparatus for demonstrating Download PDF

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Publication number
CN108039095B
CN108039095B CN201810057164.6A CN201810057164A CN108039095B CN 108039095 B CN108039095 B CN 108039095B CN 201810057164 A CN201810057164 A CN 201810057164A CN 108039095 B CN108039095 B CN 108039095B
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China
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needle
pin hole
throwing
throw
cavity
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CN108039095A (en
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聂大勇
姚怡
李春燕
杨艳萍
张静
郭笑宇
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Yellow River Conservancy Technical Institute
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Yellow River Conservancy Technical Institute
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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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Abstract

The present invention relates to mathematical probabilities apparatus for demonstrating, the existing throwing needle experimental provision heavy workload of effective solution, the big problem of human error;Its solve technical solution be include simulate needle bar, guider, throw needle device, it includes set casing to throw needle device, it is connected with flabellum on the outside of set casing, cavity between each two flabellum, which is formed, throws needle cavity, four throwing needle cavities both sides be all closed and with set casing integrally connected, first vertically towards center of circle direction is offered in first throwing needle cavity throws pin hole, it offers to tilt towards the second of center of circle direction in second throwing needle cavity and throws pin hole, it offers to tilt towards the 4th of center of circle direction in 4th throwing needle cavity and throws pin hole, first throws pin hole, second throws pin hole, 4th throwing pin hole is homogeneously intercommunicated, 4th opening for throwing needle cavity is equipped with barrier plate, barrier plate does not throw needle cavity closing by the 4th, on set casing outer wall the first driving motor is connected with through first rotating shaft;Case is landed, experimental implementation is stronger.

Description

Mathematical probabilities apparatus for demonstrating
Technical field
The present invention relates to mathematical education technical field, especially a kind of mathematical probabilities apparatus for demonstrating.
Background technology
Probability & Statistics are one of substances of mathematical education, are the important components of Modern Mathematics, but often Probability & Statistics are in study, and since excessively abstractness causes student that cannot be well understood by for it, especially impart knowledge to students teacher now When saying probability event, teacher can only explain in such a way that blackboard writing is given lessons to students, and classmate is not that can understand Thoroughly, therefore the complementary teaching aid that some are lacked in teaching process for probability and mathematical statistics causes student to learn Inefficiency.
In mathematical probabilities experiment, there are a variety of common Probability Experiments, such as most common throwing coin to test, and this hair Another Probability Experiments device will be introduced in bright.
18th century, the rich proposition problems with of cloth:If we there are one the floors that are paved into parallel and equidistant wood grain, now with Meaning throws the length needle smaller than distance between wood grain, the probability for asking needle and a wherein wood grain to intersect.And with this probability, cloth is rich Propose it is a kind of calculate pi method-throw the skill of handling needles at random, here it is buffon needle problems.
The basic principle and step of the experiment be:
1, a blank sheet of paper is taken, the parallel lines that many stripe pitch are a are drawn above.
2, it is l to take a root long degree(l≤a)Needle, it is random to throw n times on the paper for be decorated with parallel lines, observation needle with it is straight The number of line intersection, is denoted as m.
3, the probability of needle and straight line intersection is calculated.
Bu Feng is demonstrated, this probability is:p=2l/πa(Wherein π is pi).
Cloth is rich to be also found:It is advantageous throw with the unfavorable ratio for both throwing number, be an expression for including π.Such as The length of gynophore is equal to a/2, then that favorably throws is changed to 1/ π.The number thrown away is more, and thus, it is possible to find out more accurate π's Value.
The Probability Experiments have important mathematical meaning, it can not only indicate a part for mathematical probabilities, can also lead to It crosses probability and realizes and calculate the value of π, therefore, the rich throwing needle Probability Experiments of cloth are very Probability Experiments of weight in mathematical probabilities, Student can practise the calculating to many mathematical probabilities and π values from the experimental middle school.
But the throwing needle of the rich proposition of cloth is tested, there are no special a set of probability devices to demonstrate the probability event, Most of is all to use traditional throwing needle method, i.e.,:The setting-out on blank sheet of paper, then to straight line upthrow needle, one by one to throwing needle Result afterwards is counted.
For the demonstration device for probability, existing situation has the following disadvantages:
1, unspecial throwing needle demonstration device for probability is tested using traditional throwing needle.
2, it in order to preferably express probability and calculate π values, needs largely to count, artificial needle of throwing causes heavy workload.
3, it counts and human error occurs.
Unavoidably there is the landing position of artificial control needle, to influence probability and π values in 4, artificial throwing needle.
5, randomness is unreliable.
In consideration of it, the present invention provides a kind of mathematical probabilities apparatus for demonstrating, to solve, cloth is rich to propose that throwing needle Probability Experiments asks Topic.
Invention content
For the above situation, to overcome the defect of the prior art, the present invention to provide a kind of mathematical probabilities apparatus for demonstrating, effectively Solve existing throwing needle experimental provision heavy workload, the big problem of human error.
The present invention includes simulation needle bar, and the simulation needle bar is the uniform cylinder barred body of length;
Guider, the guider are the fixed siphunculus of vertical direction, and the simulation needle bar can pass through siphunculus;
Throw needle device, the lower section thrown needle device and be fixed on guider;
The throwing needle device includes circular set casing, and four circumferentially uniformly distributed arcs are connected on the outside of set casing Flabellum, the cavity between each two flabellum, which is formed, throws needle cavity, throws needle cavities for four and is referred to as the first throwing needle clockwise Chamber, second throw needle cavity, third throw needle cavity, the 4th throw needle cavity, four throwing needle cavities both sides be all closed and with set casing integrally connected, It is offered in first throwing needle cavity and vertically throws pin hole towards the first of center of circle direction, inclination is offered towards the center of circle in the second throwing needle cavity The second of direction throws pin hole, offers to tilt towards the 4th of center of circle direction in the 4th throwing needle cavity and throws pin hole, first throws pin hole, the Two throwing pin holes, the 4th throwing pin hole are reverse Y-shaped, and the first throwing pin hole, the second throwing pin hole, the 4th throwing pin hole are homogeneously intercommunicated, and the 4th throws The opening of needle cavity is equipped with barrier plate, and barrier plate is not thrown needle cavity closing by the 4th, connected through first rotating shaft on set casing outer wall There is the first driving motor;
Case is landed, the landing case is placed in the lower section for throwing needle device;The landing case is inside upper end opening be cavity and Bottom wall is the babinet of arc, and landing case upper end is fixed with multiple transversely arranged compression bars;
The simulation needle bar is shorter in length than the distance between compression bar.
Preferably, the third throws and offers the vertically third throwing pin hole towards center of circle direction in needle cavity, third throwing pin hole, First throwing pin hole, the second throwing pin hole, the 4th throwing pin hole are homogeneously intercommunicated;
The opening of first throwing pin hole is all higher than the second throwing pin hole, third throws pin hole, the 4th throws the opening of pin hole;
The first throwing pin hole is thrown pin hole with third and is vertically connected to, and the interior top end that third throws pin hole is equipped with radian slot, arc It spends and is equipped with rotatable baffle in slot, baffle can realize swing in radian slot, and the end of baffle, which is vertically connected with, is placed in fixation The lower end rotation of flap in shell, flap is fixed in set casing, pilot hole is offered on flap, being provided in pilot hole can be The guide rod moved in it, guide rod through connecting rod connect the second shaft, and the second shaft is connected with the second driving motor, the second driving Motor is connected to through fixed link in the first rotating shaft of the first driving motor so that the second driving motor follows first rotating shaft and turns It is dynamic.
Preferably, the set casing includes the preceding set casing snapped together and rear set casing.
Preferably, one end at the landing box opening is fixed with the horizontal axis being laterally arranged, and multiple cross are arranged on horizontal axis To the compression bar of uniformly distributed arrangement, one end of compression bar is arranged on transverse axis, and the other end is interspersed on the side wall of landing case and lower end is arranged There are spring, lower spring end to be fixed on pressing bar, multiple equal electronics of pressing bar connect same first counter, land the outer of case The first display screen of display counter number is fixed on side wall.
Preferably, the compression bar upper surface is coated with pigment, and the bottom end of the bottom wall of the landing case is equipped with the first vibration The bottom end opening of motor, the bottom wall of the landing case is connected with the first conveyer belt, and the end of the first conveyer belt is placed diagonally downward There are rolling plate, the end of rolling plate to be placed with detection plate diagonally downward, the right end of detection plate is connected through third shaft, and third turns Axis connection has third driving motor so that the left end of detection plate can be rotated up around third shaft, and third driving motor is positive and negative Rotating motor, rolling plate are fixedly arranged above spatial digitizer, can detect whether contain pigment, spatial digitizer on simulation needle bar The start and stop of third driving motor are controlled through signal, are equipped with the second conveyer belt below detection plate end, the end of the second conveyer belt is set There are collecting box, the first conveyer belt, the second conveyer belt to be respectively connected with the 8th driving motor.
Preferably, the rolling plate is connected with the radian track being placed in below detection plate, and the end of radian track is set There are contact rod, contact rod electronics to be connected with the second counter, it is aobvious that the second counter is connected with second be placed on landing box outer wall Display screen, radian track end are connected with cleaning device;
Cleaning device includes the internal annular cleaning storehouse for cavity, and cleaning storehouse is placed in the lower section of the second conveyer belt, cleaning storehouse Interior the 4th shaft for being equipped with the 4th driving motor of connection, the 4th shaft are connected with multiple circumferentially uniformly distributed clean plates, clean plate It follows the rotation of the 4th shaft and rotates, the 4th shaft rotates counterclockwise, and the end of the radian track, which offers, to be cleaned The other side of import on storehouse, cleaning storehouse corresponding with import offers outlet;
Track plates are equipped with below the outlet and the second conveyer belt, the end of track plates is placed with collecting box.
Preferably, inside the collecting box upper end opening it is cavity, the left end of collecting box is arc shape, collecting box back side Face is equipped with fixed plate, and the side of collecting box upper right side is equipped with the support shaft being fixed in fixed plate, at the left arc shape of collecting box Through there is the 5th shaft being fixed in fixed plate so that collecting box can be around the 5th shaft shaft counterclockwise, and support shaft can be with Prevent collecting box from turning on one's side to the right, fixed plate is fixed on tilted-putted third conveyer belt so that fixed plate drive collecting box with It is moved with third conveyer belt, third conveyer belt is connected with the 5th driving motor, and the 5th driving motor is clockwise and anticlockwise motor, collecting box Left end side, which is fixed with to be placed in above third conveyer belt, overturns axis, and the lower end of the top and third conveyer belt of overturning axis is fixed with Inductive switch, inductive switch control the start and stop and positive and negative rotation of the 5th driving motor, the upper end side of third conveyer belt be fixed with into Hopper, material feeding box upper end opening inside are cavity, and the side of material feeding box is equipped with the 4th conveyer belt, the 4th transmission band connection the 6th Driving motor, there are gaps between the 4th conveyer belt and third conveyer belt, it is ensured that collecting box by and collecting box overturn after can Receive the simulation needle bar fallen in collecting box.
Preferably, the material feeding box lower end offers the first needle outlet of rectangle, and is equipped on the shell of material feeding box Two vibrating motors, the first needle outlet lower end are communicated with the steering gear of annular, and steering gear includes the annular being connected to the first needle outlet Shell is equipped with rotatable annular solid in circular casing, and multiple circumferentially uniformly distributed semicolumn slots are offered on circular casing outer profile, Circular casing is connected with the 6th driving motor so that annular solid can rotate in circular casing, and circular casing lower end is connected to guider.
Preferably, the circular casing lower end is communicated with steering shell, turns to and is equipped with laterally fixed turner bar in shell, turns to The lower end of shell is vertical third needle outlet, and third needle outlet is communicated with throwing needle ring, throws and is equipped with rotatable throwing needle in needle ring Body throws needle body and is connected with the 7th driving motor, throws and opens up that there are one vertical to connect pin hole on the outer profile of needle body, throws under needle body End connection guider.
Preferably, the mathematical probabilities apparatus for demonstrating is fixed in rectangular box.
Structure of the invention is ingenious, and experiment randomness is stronger, and artificial factor is avoided to cause experimental error, experimental implementation compared with By force, the experimental result obtained is accurate, and whole operation flow is convenient for observation of students, and student is contributed to clearly to see whole knot The principle of structure, the meter of pi can also be understood to the understanding of probability statistics in addition to learning probability by further increasing student It calculates.
Description of the drawings
Fig. 1 is stereogram oblique view schematic diagram of the present invention.
Fig. 2 is stereogram front view sectional view schematic diagram of the present invention.
Fig. 3 is material feeding box of the present invention, steering gear, turns to shell connection stereogram schematic diagram.
Fig. 4 is material feeding box of the present invention, steering gear, turns to shell connection front view sectional view schematic diagram.
Fig. 5 is that the present invention throws hidden line schematic diagram inside needle device stereogram.
Fig. 6 is that the present invention throws needle device sectional view schematic diagram.
Fig. 7 is present invention landing case stereogram schematic diagram.
Fig. 8 is compression bar of the present invention, spring, pressing bar connection diagram.
Fig. 9 is that flapper of the present invention drives stereogram schematic diagram.
Figure 10 is detection plate of the present invention, cleaning device schematic diagram.
Figure 11 is collecting box fixing device schematic diagram of the present invention.
Specific implementation mode
For the present invention aforementioned and other technology contents, feature and effect, in following cooperation with reference to figures 1 through Figure 11 pairs In the detailed description of embodiment, can clearly it present.The structure content being previously mentioned in following embodiment is attached with specification Figure is reference.
Each exemplary embodiment of the present invention is described below with reference to accompanying drawings.
The present invention is a kind of mathematical probabilities apparatus for demonstrating, mainly demonstrates the throwing needle experimental provision of the rich proposition of cloth, the experiment The statistics to probability not only may be implemented in device, and the calculating to π values, master of the present invention can also be realized by the Probability Experiments device Be described and drawn for its structure principle chart, for connection types such as the fixations, be all fixed using common bolt, It the common connection type such as is welded and fixed, in addition, since parts are more, portion size drafting is might have in attached drawing of the present invention Inaccurately, structural principle and the implementation of the present invention but are not influenced.
Embodiment one, a kind of mathematical probabilities apparatus for demonstrating include simulation excellent 1, for completing the throwing needle to the present invention Experiment, in order to not influence simulation 1 body structure error caused by experiment of needle bar, will simulation needle bar 1 be designed as cylinder barred body and Length is uniform, and material can be metal, stainless steel or duroplasts.
Guider 2, guider 2 are the siphunculus vertically placed, and siphunculus is integrally fixed in rectangular box 68, Structure is exactly common cylinder, has opened through-hole among it, and diameter, which can pass through, simulates needle bar 1 so that simulation needle Stick 1 is fallen with vertical state.
Needle device 3 is thrown, the lower section that needle device 3 is fixed on guider 2 is thrown, needle device 3 is thrown and is not connected to guider 2, It includes a circular set casing 4 to throw needle device 3, is connected with the first driving motor through first rotating shaft 14 on 4 outer wall of set casing, makes It obtains set casing 4 to rotate, the first driving motor can connect retarder, for controlling the rotating speed of set casing 4, the outer shroud of set casing 4 For integrally connected there are four the flabellum 5 of arc, flabellum 5 is not to play to blow wind action, and be intended only as segmentation cavity on face It uses, there are four flabellums 5, circumferentially uniformly distributed, is divided into four cavitys, in order to preferably describe, we are referred to as from surface Needle cavity 6 is thrown for first, is referred to as the second throwing needle cavity 7 successively clockwise, third throws needle cavity the 8, the 4th and throws needle cavity 9, four throwings The both sides of needle cavity be also closing shell, respectively with the outer wall integrally connected of the outer wall of set casing 4, flabellum 5, first throwing needle cavity 6 in open Pin hole 10 is thrown equipped with first, first throws 10 direction of pin hole towards the center of circle of set casing 4, and the opening of the first throwing pin hole 10 is larger, accounts for Full entire first throws needle cavity 6, first becomes smaller down, then remains unchanged, and the simulation in needle cavity 6 is thrown first for ensureing to fall When needle bar 1 falls to the first throwing needle cavity 6, enters first certainly and throw pin hole 10, inclination is offered towards the center of circle in the second throwing needle cavity 7 The second of direction throws pin hole 11, is equipped with to tilt towards the 4th of center of circle direction in the 4th throwing needle cavity 9 and throws pin hole 12, the second throwing pin hole 11 and the 4th throw pin hole 12 openings of sizes can not have to it is so big so that simulation needle bar 1 throws needle cavity 7 or the 4th second and throws needle When chamber 9 is fallen, second can be entered and thrown in pin hole 11 or in the 4th throwing pin hole 12, or directly throw needle cavity 7 or the 4th second It throws in needle cavity 9, and does not enter the second throwing pin hole 11 or the 4th and throw in pin hole 12, and first throws the throwing pin hole of pin hole 10, second 11, the shape that the 4th throwing 12 three of pin hole interconnects, and is in is Y shape, and the opening for throwing needle cavity 9 the 4th is to set There is barrier plate 13, barrier plate 13 is equivalent to a closed plate, but the barrier plate 13 does not close the 4th throwing needle cavity 9, the Having in four throwing needle cavities 9 can make that simulation needle bar 1 enters and the gap of disengaging, set casing 4 are in rotation, and rotate dependence is through the First driving motor of one shaft 14 connection.
For simulation needle bar 1 from throwing into case 15 is landed after needle device 3 is fallen down, landing case 15 is throwing needle device 3 just Lower section, 15 upper end opening of landing case inside is cavity, and bottom wall is preferably arc, is more advantageous to simulation needle bar 1 in landing case 15 It is tumbled on bottom wall, landing case 15 upper end is fixed with multiple compression bars 16, and compression bar 16 is transversely arranged to be had multiple, but itself is vertical row Row, the upper surface of compression bar 16 is touched after simulating needle bar 1 and falling can indicate and straight line intersection, not touch 16 upper table of compression bar Face is directly fallen in landing case 15, and according to the rich requirement of experiment of cloth, by being shorter in length than or equal to every two for simulation needle bar 1 The distance between a compression bar 16, and between being just stuck in compression bar 16 in order to avoid simulation needle bar 1, the present invention will simulate needle bar 1 It is shorter in length than the distance between compression bar 16, this will not cause other influences to experiment.
When specific experiment operates, simulation needle bar 1 is put into one by one out of guider 2, the vertical side of simulation needle bar 1 It is thrown in needle device 3 to falling to, set casing 4 is rotating always, and in order to more preferably state, we assert set casing 4 by side counterclockwise To rotation, simulation needle bar 1 has probability to fall to the first throwing needle cavity 6, second throwing needle cavity 7, third throws the throwing needle cavity 9 of needle cavity the 8, the 4th, To increase the randomness of simulation needle bar 1 fallen.
Assuming that simulation needle bar 1 is fallen in the first throwing needle cavity 6, then the opening of the first throwing pin hole 10 is larger, so simulation Needle bar 1 necessarily enters in the first throwing pin hole 10, is then fallen from the second throwing throwing pin hole 12 of pin hole 11 or the 4th at random, no It is fallen by from where, the randomness of simulation needle bar 1 can be increased.
Assuming that simulation needle bar 1 is fallen in the second throwing needle cavity 7, then simulation needle bar 1 is thrown possibly into second in pin hole 11, It may also fall and be thrown in needle cavity 7 second, second does not enter throwing pin hole 12, then simulation needle bar 1 follows set casing 4 to turn to down Since gravity inclination is slided when square, it is also possible to throw pin hole 12 from second and enter, throw pin hole 12 or the first from the 4th at random It throws and is fallen at pin hole 10, further increase the randomness of simulation needle bar 1.
Assuming that simulation needle bar 1, which falls to third, throws 8 intracavitary of needle, then simulation needle bar 1 follows set casing 4 to rotate, work as third When throwing needle cavity 8 turns to lower section, simulation needle bar 1 is fallen.
Assuming that simulation needle bar 1 is fallen in the 4th throwing needle cavity 9, then simulation needle bar 1 is thrown possibly into the 4th in pin hole 12, It is thrown in needle cavity 9 the 4th it is possible that falling, and does not enter the 4th throwing pin hole 12, then simulation needle bar 1 follows set casing 4 to turn to down Since gravity inclination is slided when square, it is also possible to throw pin hole 11 from second and enter, throw pin hole 11 or the first from second at random It throws and is fallen at pin hole 10, further increase the randomness of simulation needle bar 1.
And in fact, other than simulation needle bar 1 falls be random in which way, the again random simulation needle of the present invention Stick 1 falls position, to further increase the randomness of simulation needle bar 1.
Simulate needle bar 1 be to be fallen from surface, but be not necessarily from underface and fall, in addition to underface can fall with Outside, simulation needle bar 1 can also be fallen from the left or right side of underface, position when being fallen by simulation needle bar 1 described above, with It is lower introduction fall after drop point site, be specifically:
When simulation needle bar 1 falls to the first throwing needle cavity 6, if simulation needle bar 1 is dropped out from the 4th throwing pin hole 12, by In the reason of barrier plate 13, simulation needle bar 1 finally drops out on the right side of underface, if simulation needle bar 1 throws pin hole 11 from second It drops out, then simulation needle bar 1 drops out on the left of underface.
When simulation needle bar 1 falls to the second throwing needle cavity 7, if simulation needle bar 1 does not enter the second throwing pin hole 11, that Simulation needle bar 1 drops out on the left of underface, when simulation needle bar 1 enters the second throwing pin hole 11 and is dropped out from the 4th throwing pin hole 12 When, then simulation needle bar 1 drops out on the right side of underface, when simulation needle bar 1 enters the second throwing pin hole 11 and throws pin hole from first 10 when dropping out, and simulation needle bar 1 may drop out on the left of underface or underface.
When simulation needle bar 1, which falls to third, throws needle cavity 8, simulation needle bar 1 drops out on the left of underface.
When simulation needle bar 1 falls to the 4th throwing needle cavity 9, due to the blocking of barrier plate 13, simulation needle bar 1 cannot be introduced into, And barrier plate 13 is not completely enclosed plate, after barrier plate 13 turns round, simulation needle bar 1 will certainly enter the 4th and throw needle Chamber 9, if simulation needle bar 1 does not enter the second throwing pin hole 11, simulation needle bar 1 drops out on the right side of underface, if When simulation needle bar 1 enters the 4th throwing pin hole 12 and dropped out from the first throwing pin hole 10, then simulation needle bar 1 is fallen on the right side of underface Go out, if simulation needle bar 1 enters the 4th throwing pin hole 12 and dropped out from the second throwing pin hole 11, simulation needle bar 1 is from underface or just It is dropped out on the right side of lower section.
The throwing needle device of the present invention can greatly increase the randomness of simulation needle bar 1, and will not be by ectocine, to ensure The accuracy of data experiment, and the randomness can't cause error other than it can ensure experimental data accurately to experiment.
Though simulation needle bar 1 drop out from where, fallen from where, simulation needle bar 1 be all fall to landing case 15 in because Simulation needle bar 1 is shorter in length than the distance between compression bar 16, and the simulation needle bar 1 only touches and compression bar 16 after falling down Upper surface and do not touch two kinds of situations, when simulating needle bar 1 and falling, if touching 16 upper surface of compression bar, as with straight line phase It hands over, if not touching 16 upper surface of compression bar, as no and straight line intersection simulates needle bar 1 whether with straight line intersection 15 bottom of landing case will be fallen to, is finally collected, is completed and straight line intersection and disjoint all countings.Then may be used Disjoint probability is mutually given to count, and pi can be calculated according to formula.
Embodiment two, on the basis of embodiment one, in order to further enhance the diversity that needle device 3 is fallen is thrown, and Increase randomness when falling, we throw in third and also offer third throwing pin hole 17 in needle cavity 8, and third throws pin hole 17 with first It is all vertically towards center of circle direction to throw pin hole 10 equally, and third throws pin hole 17 and first and throws the throwing pin hole the 11, the 4th of pin hole 10, second It throws pin hole 12 to be connected to, it is the equal of vertically being connected to that the first throwing pin hole 10 throws pin hole 17 with third, unique the difference is that third is thrown The opening that the openings of sizes of pin hole 17 throws pin hole 10 than first is small, and second throws pin hole 11, third throws pin hole the 17, the 4th and throws pin hole 12 Openings of sizes be the same, that is to say, that third throw needle cavity 8 in also have simulation needle bar 1 may fall to third throw needle cavity 8 It is interior, it is also possible to fall to the situation in third throwing pin hole 17, purpose is provided to increase random when simulation needle bar 1 is fallen Property.
If third is thrown pin hole 17 and is connected to the first throwing pin hole 10, the simulation needle bar 1 fallen from the first throwing pin hole 10, Will directly from third throw pin hole 17 drop out, maximum probability will not again from second throwing pin hole 11 and the 4th throw pin hole 12 drop out, certainly this Kind situation nor affects on the experimental of simulation needle bar 1, and still, the present invention will increase randomness when it falls, finally so that mould No matter quasi- needle bar 1 is fallen from which of four throwing needle cavities, can all occur it is different drop out with different landing position situations, make It obtains four throwing needle cavities and all has its respective characteristic.
The top of pin hole 17 is thrown in third, that is, is set at center location there are one radian slot 18, the radian slot 18 is with the Three throw pin hole 17 as centre position, and cambered slot is all opened up to both sides, rotatable baffle 19, baffle are equipped in radian slot 18 19 can rotate in radian slot 18, and the opening and closing of pin hole 17 are thrown to realize baffle 19 to third, are opened and closed just It is uniquely to throw pin hole 17 from third from the first simulation needle bar 1 for falling of throwing pin hole 10 in order to prevent to drop out, when simulation needle bar 1 is from the When one throwing pin hole 10 is fallen into, if baffle 19 is opened, simulation needle bar 1 is thrown pin hole 17 from third and is dropped out, and simulation needle bar 1 is from just Lower section drops out, if baffle 19 is closed, simulation needle bar 1 is thrown pin hole 12 from the second throwing pin hole 11 or the 4th and dropped out.
And the structure that baffle 19 can rotate is:The structure in pin hole 17 is thrown in third and there was only baffle 19, and drives baffle 19 Device be all fixed on inside set casing 4, therefore do not interfere with simulation needle bar 1 and fall, the lower end of flap 20 is that rotation is solid It is scheduled in set casing 4, as the rotating fulcrum of flap 20, pilot hole 21 is offered on flap 20, is led in pilot hole 21 To bar 22, the movement in pilot hole 21 of guide rod 22, pilot hole 21 is used as a movement locus, the connection of 22 through connecting rod 23 of guide rod Second shaft 24, the second shaft 24 are connected with the second driving motor 25, real to drive the movement in pilot hole 21 of guide rod 22 The swing of existing baffle 19, and the second driving motor 25 is connected to the first driving motor through fixed link 26, because baffle 19 is in addition to certainly Oneself other than rotation, will also follow set casing 4 to rotate in radian slot 18, therefore, the first driving motor be followed to rotate.
Embodiment three, on the basis of embodiment one, installation baffle 19 and manufacture radian slot 18 etc. when producing for convenience Structure divides set casing 4 for preceding set casing and rear set casing, convenient for the driving structures such as baffle 19 are disposed within, then fastens Together, all it is finally that the first driving motor is followed to rotate and rotate.
Example IV other than artificially counting, can also realize automatic counting, specifically on the basis of embodiment one It is to be fixed with a horizontal axis being laterally arranged 26 in one end of landing 15 opening of case, horizontal axis 26 does not rotate, and is arranged on horizontal axis 26 There are multiple compression bars 16,16 spacing of compression bar is identical, and compression bar 16 is arranged vertically with horizontal axis 26, and multiple compression bars 16 are in laterally homogeneous arrangement, One end of compression bar 16 is set on horizontal axis 26 and can be rotated around horizontal axis 26, and the other end of compression bar 16 is inserted in 15 other side of landing case On wall, there are a slot on landing 15 side wall of case, compression bar 16 to be interspersed in slot at the position so that compression bar 16 is at this end Head can rotate upwardly and downwardly, and 16 lower section of compression bar at the position is arranged with spring 27, can be through spring 27 after compression bar 16 compresses downwards Reset, have a pressing bar 28 in the lower section of spring 27, compression bar 16 have it is multiple, corresponding pressing bar 28 also have it is multiple, but it is multiple Pressing bar 28 connects same first counter, and the counting of the first counter, which is shown, can be shown on the first display screen 29, and first Display screen 29 is fixed on the shell of landing case 15, clearly can all see each counting.And the type of counter is various, Principle including mechanical counter, electronic counter etc. or some electronic watches is also counter, and counter is as a kind of existing There is technology to will not be described in great detail herein.
Simulation needle bar 1 can enter landing case 15 after being fallen from throwing needle device 3, and there are two types of state, a kind of pressings at this time Compression bar 16, it is a kind of not press moulded rod 16, when simulation needle bar 1 touches 16 upper surface of compression bar, it will press down on compression bar 16, pressure Bar 16 contacts pressing bar 28 through spring 27, and counting will be included and simulating needle bar 1 such as on the first display screen 29 by pressing bar 28 Fruit does not press moulded rod 16, will not be on the first display screen 29 and counts.
Embodiment five, on the basis of embodiment one, other than above-mentioned counting, the present invention can also use another Counting device coats coloured pigment 30 on 16 upper surface of compression bar, and the pigment 30 is different from the simulation color of needle bar 1, and It is easy to clean, such as the pigment such as pigment, ink, watercolor can be selected, being equipped with first in the bottom end of the bottom wall of landing case 15 shakes Dynamic motor 31, accelerates tumbling for the simulation needle bar 1 fallen down, is stopped after the bottom wall of landing case 15 is fallen on to prevent simulation needle bar 1 It does not roll, is equipped with opening in the end of the bottom wall of landing case 15, is placed at the position and be fixed with the first conveyer belt 32, the first transmission The driving motor for being connected with driving the first conveyer belt 32 rotation with 32, the end of the first conveyer belt 32 is placed with rolling diagonally downward The detection plate 34 being fixed with diagonally downward is also placed in plate 33, the end of rolling plate 33, and the right end of the detection plate 34 is through a fixation Rotatable third shaft 35 connects, and third shaft 35 drives through third driving motor, if third shaft 35 is first clockwise Rotation so that detection plate 34 is rotated up, and is rotated backward again to original position after turning an angle, therefore, third driving motor is most It is the motor of positive and negative rotation well, spatial digitizer 36 is fixedly arranged above in rolling plate 33, for is on Scanning Detction simulation needle bar 1 It is no to have pigment 30, and spatial digitizer 36 is a kind of prior art, spatial digitizer is a kind of scientific instrument, for detecting and dividing Analyse the shape of object or environment in real world(Geometrical construction)With appearance data(Such as color, surface albedo property), three Dimension scanner 36 will not be described in great detail herein as a kind of prior art, and the start and stop and positive and negative rotation of third driving motor are swept by three-dimensional The electric signal that instrument 36 is sent out is retouched to control, the second conveyer belt 37 is also placed in the end of detection plate 34, the second conveyer belt 37 End is equipped with collecting box 38, and for collecting simulation needle bar 1, the first conveyer belt 32 and the second conveyer belt 37 are connected separately with driving electricity Machine, we term it the 8th driving motors for the driving motor.
When specifically used, if simulation needle bar 1 touches the pigment 30 on compression bar 16, face will be infected on needle bar 1 by simulating Material whether touches pigment 30, and simulation needle bar 1 is final all to be fallen in landing case 15, no matter simulation needle bar 1 is with which kind of shape State falls into landing 15 bottom wall of case, all through the vibration of the first vibrating motor 31 simulation needle bar 1 can be rolled from the bottom wall of arc downwards It falls, then into the first conveyer belt 32, moves to rolling plate 33 through the first conveyer belt 32, simulation needle bar 1 is in rolling plate 33 It freely scrolls down through, then spatial digitizer 36 can necessarily scan the pigment 30 on simulation needle bar 1, if spatial digitizer Pigment 30 is arrived in 36 scannings, it will sends a signal to third driving motor so that detection plate 34 rotates clockwise, or perhaps upwards Rotation at this point, the simulation needle bar 1 in rolling plate 33 will not roll down in detection plate 34, but is fallen from 34 lower section of detection plate It falls, if spatial digitizer 36 arrives pigment 30 without scanning, spatial digitizer 36 will not send a signal to third driving electricity Machine, detection plate 34 will not rotate, and simulation needle bar 1 continues to be rolled in detection plate 34 from rolling plate 33, then from detection plate 34 On move to 37 band of the second transmission, finally drop into collecting box 15.
Embodiment six, on the basis of embodiment five, in the case where the lower section of rolling plate 33 is connected with and is placed in detection plate 34 The radian track 39 of side is equipped with contact rod 40 on the end bottom wall of radian track 39, and 40 electronics of contact rod is connected with the second meter Number device, for being counted to the simulation needle bar 1 for being stained with pigment, the second counter is connected with second display screen 41, in radian rail The end in road 39 is connected with cleaning device 42, for being cleaned to the pigment 30 on simulation needle bar 1.
And cleaning device includes the internal annular cleaning storehouse 43 for cavity, cleaning storehouse 43 is placed in 37 lower section of the second conveyer belt, Cleaning storehouse 43 connects the 4th driving motor, and the 4th driving motor connects the 4th shaft 44, and the 4th driving motor drives the 4th shaft 44 rotations, in the rotation annular cleaning storehouse 43 do not follow rotation, the 4th shaft 44 is connected with multiple circumferentially uniformly distributed clear Board-washing 45, clean plate 45 follow the rotation of the 4th shaft 44 and rotate, the length of clean plate 45 be 43 from the center of circle to cleaning storehouse in Wall, annular cleaning storehouse 43 are equipped with import 46, and import 46 is in the end of radian track 39 so that simulation needle bar 1 can tumble Into cleaning storehouse 43, other than import 46, outlet 47 is offered in cleaning storehouse 43, exports 47 using the center of circle as symmetrical centre, if It sets in the other side of cleaning storehouse 43, track plates 48, the end of track plates 48 is equipped in the lower section of outlet 47 and the second conveyer belt 37 End is placed with collecting box 38, simulates needle bar 1 for collecting, there is multiple 43 clean plates 45, cleaning in a counterclockwise direction in cleaning It is rotated in storehouse.
When specifically used, the simulation needle bar 1 for being detected pigment is fallen to from 34 lower section of detection plate on radian track 39, is touched Contact contact rod 40, then counted on the second counter, to for counting the number for having pigment, simulation needle bar 1 from Radian track 39 drops into cleaning storehouse 43, and the 4th shaft 44 drives clean plate 45 to clean simulation needle bar 1 in cleaning storehouse 43, It is placed with water and detergent in cleaning storehouse 43, convenient for being cleaned to pigment, the simulation needle bar 1 after being cleaned is out of cleaning storehouse 43 It drops out, then falls in collecting box 38,43 lower section of cleaning storehouse can be provided with the dress caught and spill the water come in cleaning storehouse 43 It sets, if it is necessary, leakage hole can be offered on the portion structure of needs.
Embodiment seven is cavity, the left end of collecting box 38 on the basis of embodiment six, inside 38 upper end opening of collecting box For arc shape, it is equipped with fixed plate 49 in 38 dorsal surface of collecting box, support shaft 50, support shaft are fixed in 38 right side upper end of collecting box 50 are fixed in fixed plate 49, are mainly used to prevent the side to overturn to the right of collecting box 38 so that when collecting box 38 is in vertical state It is the right end overturn to the right, the left side wall of collecting box 38 is arc shape, which, which runs through, is fixed in fixed plate 49 5th shaft 51, the collecting box 38 are freely rotated, and can be rotated around the 5th shaft 51, which from the outset can only It rotates counterclockwise, can only turn left, and fixed plate 49 is fixed on tilted-putted third conveyer belt 52, third conveyer belt 52 It is driven by the 5th driving motor 53, and the 5th driving motor 53 is clockwise and anticlockwise motor, 38 left end side of collecting box, which is fixed with, to be placed in Axis 54 is overturned in the top of third conveyer belt 52, overturns that axis 54 is fixed, and the both ends of third conveyer belt 52 are respectively arranged with induction Switch 55, inductive switch 55 control the start and stop and positive and negative rotation of the 5th driving motor 53, and the side of 52 top of third conveyer belt is also solid Surely there is a material feeding box 56, be cavity inside 56 upper end opening of material feeding box, the side of material feeding box 56 is equipped with the 4th conveyer belt 57, and the 4th Conveyer belt 57 drives by the 6th driving motor, has gap not contact between the 4th conveyer belt 57 and third conveyer belt 52, because This gap will allow collecting box 38 to pass through.
When specifically used, fall to simulation needle bar 1 in collecting box 38 and follows the movement of third conveyer belt 52 and move upwards, When collecting box 38, which touches, overturns axis 54, collecting box 38 is rotated around the 5th shaft 51, and simulation needle bar 1 is routed up out of collecting box 38 It falls on the 4th conveyer belt 57, is then moved in material feeding box 56 through the 4th conveyer belt 57,38 original state of collecting box is perpendicular It to vertical state, because the reason of support shaft 50, cannot turn right, overturn collecting box 38 through overturning axis 54, then collecting box 38 freely reset to original position, and inductive switch 55 is used for controlling the positive and negative rotation and start and stop of third conveyer belt 52.
Collecting box 38 collects certain amount later or waits for opening again after all simulation needle bars 1 are all tested in the present invention It is dynamic, the experiment of more often batches is carried out, so as to preferably determine the total quantity of simulation needle bar 1, or can repeatedly be counted The experiment of multi-quantity, and then improve the accuracy of experiment probability.
Embodiment eight offers the first needle outlet 58 of rectangle on the basis of embodiment seven in the lower end of material feeding box 56, Purpose be can only be one by one when falling drop out, the second vibrating motor 59 is installed on the shell of material feeding box 56, it is therefore an objective to For the simulation needle bar 1 fallen in a jumble in regular material feeding box 56, the simulation needle bar 1 blocked is allow smoothly to go out needle 58 from first Mouth drops out.
It is once dropped out in order to prevent mostly with simulating needle bar 1, the steering gear 60 of annular is communicated in 58 lower end of the first needle outlet, Steering gear 60 includes circular casing 61, and circular casing 61 is connected to the first needle outlet 58, is equipped in circular casing 61 rotary Annular solid 62,62 body of annular are connected with the 6th driving motor so that the 6th driving motor drives annular solid 62 in circular casing 61 Interior rotation offers multiple semicolumn slots 63 on annular solid 62, and simulation needle bar 1 is fallen in semicolumn slot 63, followed by It is dropped out when immediately below turning to.
Embodiment nine, on the basis of embodiment eight, 61 lower end of circular casing, which is communicated with, turns to shell 63, turns in shell 63 laterally It is fixed with turner bar 64, because simulation needle bar 1 is laterally to fall down, and the throwing needle device 3 of lower section opening is smaller, it is therefore desirable to The simulation change of needle bar 1 falls direction, becomes vertical direction and falls, so, simulation needle bar 1 is fallen to from circular casing 61 turns to shell 63 Interior diverted stick 64 changes direction, and turns to shell 63 and be similar to coniform, is opened greatly in upper end, lower ending opening is small, under steering shell 63 End is vertical third needle outlet, but influences whether very much to throw needle experiment soon in order to avoid simulation needle bar 1 falls speed, because such as It is too fast that fruit falls speed, and when throwing needle device 3 and not completing also, another simulation needle bar 1 is also fallen down simulation needle bar 1, two Simulation needle bar 1 may be collided or be blocked, therefore we need to fall next simulation needle bar 1 and slow, institute Needle ring 65 is thrown to be connected in third needle outlet, installation in needle ring 65 is thrown and throws needle body 66, throw needle body 66 and turn by the 7th driving motor It is dynamic, it is offered on throwing needle body 66 and only there are one vertical to connect pin hole 67, needle bar 1 is simulated for connecing, and next simulation needle bar 1 It needs to wait for the throwing rotation of needle body 66 that can just be connected to for one week, a speed reducer can also be connected by throwing needle body 66, to ensure to simulate needle The speed that stick 1 falls, finally, simulation needle bar 1 are fallen to vertical state in the siphunculus of guider 2 from pin hole 67 is connect.
Multiple driving motors, vibrating motor in the present invention are all some small-sized motors, and can be carried out fixing.
Embodiment ten, on the basis of embodiment one, the parts of above-described mathematical probabilities apparatus for demonstrating are fixed on In rectangular box 68.
The present invention is to fall one by one when simulating needle bar and falling, and is then collected into collecting box, waits for all simulation needles Stick has collected second of experiment of progress and many experiments, or reaches collecting box startup after certain amount, starts in material feeding box When be disposably to be packed into multiple simulation needle bars, then dropping out and tested one by one successively.
Structure of the invention is ingenious, and experiment randomness is stronger, and artificial factor is avoided to cause experimental error, experimental implementation compared with By force, the experimental result obtained is accurate, and whole operation flow is convenient for observation of students, and student is contributed to clearly to see whole knot The principle of structure, the meter of pi can also be understood to the understanding of probability statistics in addition to learning probability by further increasing student It calculates.

Claims (10)

1. mathematical probabilities apparatus for demonstrating, which is characterized in that including:
Simulate needle bar(1), the simulation needle bar(1)For the uniform cylinder barred body of length;
Guider(2), the guider is the fixed siphunculus of vertical direction, the simulation needle bar(1)Siphunculus can be passed through;
Throw needle device(3), the throwing needle device(3)It is fixed on guider(2)Lower section;
The throwing needle device(3)Including circular set casing(4), set casing(4)Outside is connected with circumferentially uniformly distributed four The flabellum of a arc(5), each two flabellum(5)Between cavity formed throw needle cavity, four throw needle cavities clockwise claim respectively For first throw needle cavity(6), second throw needle cavity(7), third throw needle cavity(8), the 4th throw needle cavity(9), the both sides of four throwing needle cavities It is all closed and and set casing(4)Integrally connected, first throws needle cavity(6)It inside offers first vertically towards center of circle direction and throws pin hole (10), second throws needle cavity(7)It inside offers to tilt towards the second of center of circle direction and throws pin hole(11), the 4th throws needle cavity(9)Inside open Pin hole is thrown equipped with tilting towards the 4th of center of circle direction(12), first throws pin hole(10), second throw pin hole(11), the 4th throw pin hole (12)It is reverse Y-shaped, first throws pin hole(10), second throw pin hole(11), the 4th throw pin hole(12)Homogeneous intercommunicated, the 4th throws needle cavity (9)Opening be equipped with barrier plate(13), barrier plate(13)Needle cavity is not thrown by the 4th(12)Closing, set casing(4)On outer wall Through first rotating shaft(14)It is connected with the first driving motor;
Land case(15), the landing case is placed in throwing needle device(3)Lower section;The landing case(15)It is for upper end opening inside Cavity and the babinet that bottom wall is arc, land case(15)Upper end is fixed with multiple transversely arranged compression bars(16);
The simulation needle bar(1)Be shorter in length than compression bar(16)The distance between.
2. mathematical probabilities apparatus for demonstrating according to claim 1, which is characterized in that the third throws needle cavity(8)Inside open up There is the third throwing pin hole vertically towards center of circle direction(17), third throwing pin hole(17), first throw pin hole(10), second throw pin hole (11), the 4th throw pin hole(12)It is homogeneous intercommunicated;
First throws pin hole(10)Opening be all higher than the second throwing pin hole(11), third throw pin hole(17), the 4th throw pin hole(12)'s Opening;
Described first throws pin hole(10)Pin hole is thrown with third(17)Vertical connection, third throw pin hole(17)Interior top end be equipped with arc Spend slot(18), radian slot(18)It is interior to be equipped with rotatable baffle(19), baffle(19)It can be in radian slot(18)Interior realization is swung, gear Plate(19)End be vertically connected with and be placed in set casing(4)Interior flap(20), flap(20)Lower end rotation be fixed on fixation Shell(4)It is interior, flap(20)On offer pilot hole(21), pilot hole(21)Inside it is provided with the guide rod that can be moved in it (22), guide rod(22)Through connecting rod(23)Connect the second shaft(24), the second shaft(24)It is connected with the second driving motor(25), Second driving motor(25)Through fixed link(26)It is connected to the first rotating shaft of the first driving motor(14)On so that the second driving electricity Machine(25)Follow first rotating shaft(14)And it rotates.
3. mathematical probabilities apparatus for demonstrating according to claim 1, which is characterized in that the set casing(4)Including fastening Preceding set casing together and rear set casing.
4. mathematical probabilities apparatus for demonstrating according to claim 1, which is characterized in that the landing case(15)The one of opening End is fixed with the horizontal axis being laterally arranged(26), horizontal axis(26)On be arranged with the compression bar that multiple transverse directions uniformly arrange(16), compression bar (16)One end be set in horizontal axis(26)On, the other end is interspersed in landing case(15)Side wall on and lower end be arranged with spring (27), spring(27)Lower end is fixed on pressing bar(28)On, multiple pressing bars(28)Equal electronics connects same first counter, Land case(15)Lateral wall on be fixed with the first display screen of display counter number(29).
5. mathematical probabilities apparatus for demonstrating according to claim 1, which is characterized in that the compression bar(16)Upper surface is coated with Pigment(30), the landing case(15)The bottom end of bottom wall the first vibrating motor is installed(31), the landing case(15)Bottom The bottom end opening of wall is connected with the first conveyer belt(32), the first conveyer belt(32)End be placed with rolling plate diagonally downward (33), rolling plate(33)End be placed with detection plate diagonally downward(34), detection plate(34)Right end through third shaft (35)Connection, third shaft(35)It is connected with third driving motor so that detection plate(34)Left end can be around third shaft(35) It is rotated up, third driving motor is clockwise and anticlockwise motor, rolling plate(33)Be fixedly arranged above spatial digitizer(36), can detect To simulation needle bar(1)On whether contain pigment(30), spatial digitizer(36)The start and stop of third driving motor, inspection are controlled through signal Drafting board(34)The second conveyer belt is equipped with below end(37), the second conveyer belt(37)End be equipped with collecting box(38), first passes Send band(32), the second conveyer belt(37)It is respectively connected with the 8th driving motor.
6. mathematical probabilities apparatus for demonstrating according to claim 5, which is characterized in that the rolling plate(33)It is connected with It is placed in detection plate(34)The radian track of lower section(39), radian track(39)End be equipped with contact rod(40), contact rod(40) Electronics is connected with the second counter, and the second counter, which is connected with, is placed in landing case(15)Second display screen on outer wall(41), arc Spend track(39)End is connected with cleaning device(42);
Cleaning device includes the internal annular cleaning storehouse for cavity(43), cleaning storehouse(43)It is placed in the second conveyer belt(37)Under Side, cleaning storehouse(43)Interior the 4th shaft for being equipped with the 4th driving motor of connection(44), the 4th shaft(44)It is connected with multiple in circle The clean plate of Zhou Junbu(45), clean plate(45)Follow the 4th shaft(44)Rotation and rotate, the 4th shaft(44)Counterclockwise Rotation, the cleaning storehouse(43)It is equipped with import(46), import(46)It is placed in the radian track(39)End, with import (46)Corresponding cleaning storehouse(43)The other side offer outlet(47);
The outlet(47)With the second conveyer belt(37)Lower section is equipped with track plates(48), track plates(48)End be placed with receipts Header(38).
7. mathematical probabilities apparatus for demonstrating according to claim 6, which is characterized in that the collecting box(38)Upper end opening Inside is cavity, collecting box(38)Left end be arc shape, collecting box(38)Dorsal surface is equipped with fixed plate(49), collecting box(49) The side of upper right side is equipped with and is fixed on fixed plate(49)On support shaft(50), collecting box(38)Running through at the arc shape of left end has It is fixed on fixed plate(49)On the 5th shaft(51)So that collecting box(38)It can be around the 5th shaft(51)Shaft counterclockwise, Support shaft(50)It can prevent collecting box(38)It turns on one's side to the right, fixed plate(49)It is fixed on tilted-putted third conveyer belt(52) On so that fixed plate(49)Drive collecting box(38)Follow third conveyer belt(52)Movement, third conveyer belt(52)It is connected with Five driving motors(53), the 5th driving motor(53)For clockwise and anticlockwise motor, collecting box(38)Left end side, which is fixed with, is placed in third Conveyer belt(52)Overturn axis in top(54), overturn axis(54)Top and third conveyer belt(52)Lower end be fixed with induction and open It closes(55), inductive switch(55)Control the 5th driving motor(53)Start and stop and positive and negative rotation, third conveyer belt(52)Upper end one Side is fixed with material feeding box(56), material feeding box(56)It is cavity, material feeding box inside upper end opening(56)Side be equipped with the 4th biography Send band(57), the 4th conveyer belt(57)Connect the 6th driving motor, the 4th conveyer belt(57)With third conveyer belt(52)Between stay There is gap, it is ensured that collecting box(38)By and collecting box(38)It can receive collecting box after overturning(38)The simulation needle bar inside fallen (1).
8. mathematical probabilities apparatus for demonstrating according to claim 7, which is characterized in that the material feeding box(56)Lower end opens up There is the first needle outlet of rectangle(58), material feeding box(56)Shell on the second vibrating motor is installed(59), the first needle outlet (58)Lower end is communicated with the steering gear of annular(60), steering gear(60)Including with the first needle outlet(58)The circular casing of connection (61), circular casing(61)Rotatable annular solid is inside installed(62), circular casing(61)Offered on outer profile it is multiple circumferentially Uniformly distributed semicolumn slot(63), circular casing(61)It is connected with the 6th driving motor so that annular solid(62)It can be in circular casing(61) Interior rotation, circular casing(61)Lower end is connected to guider(2).
9. mathematical probabilities apparatus for demonstrating according to claim 8, which is characterized in that the circular casing(61)Lower end is communicated with Turn to shell(63), turn to shell(63)Laterally fixed turner bar is inside installed(64), turn to shell(63)Lower end be vertical the Three needle outlets, third needle outlet are communicated with throwing needle ring(65), throw needle ring(65)Rotatable throwing needle body is inside installed(66), throw needle Body(66)It is connected with the 7th driving motor, throws needle body(66)Outer profile on open up that there are one vertical to connect pin hole(67), throw needle Body(66)Lower end be connected to guider(2).
10. mathematical probabilities apparatus for demonstrating according to claim 1, which is characterized in that the mathematical probabilities apparatus for demonstrating is solid It is scheduled on rectangular box(68)It is interior.
CN201810057164.6A 2018-01-22 2018-01-22 Mathematical probabilities apparatus for demonstrating Expired - Fee Related CN108039095B (en)

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CN109064840B (en) * 2018-10-31 2021-03-26 潍坊科技学院 Mathematics probability teaching demonstration teaching aid
CN109448509B (en) * 2018-12-27 2020-05-26 齐齐哈尔大学 University's mathematics probability presentation device
CN110070783B (en) * 2019-04-30 2021-01-12 河南大学 Statistics normal distribution demonstration teaching aid
CN110009976B (en) * 2019-05-27 2020-12-18 安康学院 College mathematics probability teaching presentation device
CN111508315B (en) * 2020-06-02 2021-11-12 深圳市广交大教育科技有限公司 Probability demonstration device

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