CN108961940A - A kind of mathematics discrete random variable apparatus for demonstrating - Google Patents

A kind of mathematics discrete random variable apparatus for demonstrating Download PDF

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Publication number
CN108961940A
CN108961940A CN201811030960.7A CN201811030960A CN108961940A CN 108961940 A CN108961940 A CN 108961940A CN 201811030960 A CN201811030960 A CN 201811030960A CN 108961940 A CN108961940 A CN 108961940A
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cabinet
sphere
partition
plate
gear
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CN108961940B (en
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倪晋波
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Anhui University of Science and Technology
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Anhui University of Science and Technology
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    • GPHYSICS
    • G09EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
    • G09BEDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
    • G09B23/00Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
    • G09B23/02Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for mathematics

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  • Theoretical Computer Science (AREA)
  • Toys (AREA)
  • Mixers With Rotating Receptacles And Mixers With Vibration Mechanisms (AREA)

Abstract

The invention belongs to mathematical education equipment technical fields, specifically a kind of mathematics discrete random variable apparatus for demonstrating, including cabinet, partition one, partition two, allocation unit, barrier plate, percussion unit, arc panel, bracket, the first collection frame and the second collection frame;Partition two is located at the lower section of partition one;Allocation unit is arranged between partition one and partition two, the through-hole two that allocation unit is used to that only one each sphere to be made to pass through partition two;Barrier plate is used to that the sphere across partition two to be prevented to fall from the outlet of the sphere of cabinet, and barrier plate is elastic material, is sealed with gas in barrier plate;It taps unit to be used to tap the sphere for being blocked plate blocking, so that sphere is passed through barrier plate and realize vertical fall;Arc panel is set to the center of cabinet sphere outlet lower section by bracket, is symmetrically arranged with the first collection frame and the second collection frame at left and right sides of arc panel.The present invention improves the practicability, easy to operate of apparatus for demonstrating.

Description

A kind of mathematics discrete random variable apparatus for demonstrating
Technical field
The invention belongs to mathematical education equipment technical field, specifically a kind of mathematics is demonstrated with discrete random variable Device.
Background technique
Mathematics is a subject for studying the concepts such as quantity, structure, variation, space and information, is belonged in terms of certain angle In one kind of formal science.And in development of human history and social life, mathematics also plays irreplaceable role, and Study and the research essential basic tool of modern science and technology.
The variable of random value is exactly stochastic variable, and stochastic variable is divided into discrete random variable and random variable of continuous type Two kinds, the function of stochastic variable is still stochastic variable.Some stochastic variables, the different value that it may all get is limited It is a or can arrange unlimited number of, it may also be said to which that probability is distributed on each probable value with certain rule.This stochastic variable is known as " Discrete random variable ".
That there are costs of manufacture is high for discrete random variable device in the prior art, randomness is low, design is unreasonable lacks Point, therefore need to research and develop that a kind of low manufacture cost, randomness is high, the reasonable mathematics discrete random variable demonstration dress of design It sets.
Patent document: a kind of mathematical education discrete random variable apparatus for demonstrating, application number: 2016210253699
In above patent document, connecting rod and baffle movement is driven to realize mixing tank bottom opening by the rotation of disk It opens, so that sphere be made to fall, but is easy to appear while thering are multiple spheres to fall the randomness for affecting experiment;It discharges simultaneously Mouthful side-to-side movement prevents the sphere fallen when passing through discharge port from falling on the highest point position of arc panel, so that sphere be made to fall on the One collection frame or the second collection frame do not have randomness, so that the practicability is poor for the device.
Summary of the invention
In order to make up for the deficiencies of the prior art, a kind of mathematics discrete random variable apparatus for demonstrating proposed by the present invention, The present invention provides a kind of mathematics discrete random variable apparatus for demonstrating at low cost, randomness is high.The present invention by using point Only one each sphere is fallen with unit;Meanwhile the design of stopper, it is stuck in sphere on stopper, and pass through percussion Plate impact sphere makes sphere by barrier plate, and the deformation of barrier plate surrounding is consistent, to guarantee that sphere is in the center of sphere outlet Fall, there is randomness to ensure that and fall on the first collection frame or the second collection frame, improve apparatus for demonstrating practicability, It is easy to operate.
The technical solution adopted by the present invention to solve the technical problems is: a kind of mathematics discrete type of the present invention with Machine variable apparatus for demonstrating, including cabinet, partition one, partition two, allocation unit, barrier plate, tap unit, arc panel, bracket, the One collection frame and the second collection frame, the top of the box are provided with the input port of sphere, and the bottom of box is funnel structure, infundibular ganglion The bottom of structure is provided with sphere outlet;The partition one is horizontally fixed on box house, and partition one is formed with cabinet upper space Mixing chamber, sphere are stored in mixing chamber, and the through-hole one passed through for sphere is provided on partition one;The partition two is horizontal fixed In box house, partition two is located at the lower section of partition one, is provided with the through-hole two passed through for sphere on partition two, through-hole one and logical The position in hole two deviates;The allocation unit is arranged between partition one and partition two, and allocation unit is for making every time only One sphere passes through the through-hole two of partition two, and allocation unit includes limiting plate, catch bar, pusher head and spring one, the restriction Plate is arranged between partition one and partition two, and the upper and lower ends of limiting plate are contacted with partition one and partition two respectively, and limiting plate exists Straightened portion close to left side is provided with the temporary storage cavity of perforation upper and lower surface, and temporary storage cavity is for storing a sphere;The promotion Bar is horizontally fixed on the right side of limiting plate, and being horizontally disposed on the right side wall of cabinet has the sliding slot passed through for catch bar, is pushed The sliding slot that bar passes through cabinet extends cabinet;The pusher head is fixed on the right end of catch bar, and pusher head is located at the outside of cabinet, Spring one is arranged on catch bar, and spring one is between cabinet and pusher head;The ball of the bottom of box is arranged in the barrier plate Body outlet port, barrier plate are used to that the sphere across partition two to be prevented to fall from the outlet of the sphere of cabinet, and barrier plate is elastic material Matter is sealed with gas in barrier plate;The unit that taps is used to tap the sphere for being blocked plate blocking, keeps sphere smooth Vertical whereabouts is realized by barrier plate, and tapping unit includes tapping board, elastic string and gear one, and the tapping board is hinged on cabinet Inside, with the highest point contact of the sphere on barrier plate when tapping board is in a horizontal position, tapping board is in hinged position setting There is torsional spring;Two upper surface of partition is provided with deep gouge, and gear one is mounted in the deep gouge of partition two by shaft, limiting plate Bottom is provided with tooth-shape structure, and gear one is meshed with the tooth-shape structure of limiting plate;Described elastic string one end is fixed on tapping board On, the elastic string other end is wrapped in shaft;The arc panel is set to the centre bit of cabinet sphere outlet lower section by bracket It sets, the first collection frame and the second collection frame is symmetrically arranged at left and right sides of arc panel.When needing to carry out teaching demonstration, first It is put into the sphere of two kinds of same material sizes, different colours into cabinet, then moves pusher head with hand push and is moved to box house, Limiting plate carries two position of through-hole that a sphere moves to partition two, and the sphere in limiting plate successfully passes through through-hole two and falls Under, the right side entity part of limiting plate is located at one lower section of through-hole of partition one at this time, falling for the sphere in mixing chamber is prevented, It realizes one ball of primary only permission and passes through through-hole two, to ensure that the randomness of experiment, in the mistake that limiting plate moves downward Cheng Zhong, limiting plate band moving gear one rotate counterclockwise and make elastic string in shaft, will hit against plate and dig, and avoid sphere from logical Blocking by tapping board after hole two is fallen, so that sphere is smoothly fallen on stopper;Then by pusher head is unclamped, in spring one Elastic force act on lower limiting plate and be pushed back initial position, so that temporary storage cavity is located at the underface of through-hole one, in mixing chamber a ball Body is random to be fallen into the temporary storage cavity of limiting plate, and during limiting plate moves right, limiting plate band moving gear one is clockwise Rotation unclamps elastic string from shaft, and tapping board rotates counterclockwise under the action of torsional spring hits the sphere on stopper It beats, the sphere power that is hit passes through stopper and falls from sphere outlet, and the sphere that falls randomly is fallen into after hitting arc panel First collection frame or the second collection frame repeat aforesaid operations, fall sphere one by one;Then, operator can observe The quantity of two kinds of same materials color sphere of different sizes, for statistical analysis in first collection frame or the second collection frame.
Agitation unit is additionally provided in the cabinet, agitation unit is used to stir the sphere in mixing chamber, thus The confusion degree for increasing mixing chamber interior spheroid guarantees the randomness of experiment, and agitation unit includes transmission shaft, driving lever, turntable, agitation Bar and stir plate, the transmission shaft are horizontally arranged on the right side wall of cabinet, and the external peripheral surface of transmission shaft is provided with helicla flute, Transmission shaft is located at the top of partition one;The driving lever lower end is fixed in pusher head, and driving lever upper end is provided with fixed pin, fixed pin In the helicla flute of transmission shaft;The turntable is located in the box body, and turntable is fixed on the left end of transmission shaft;The agitator arm quantity At least two, agitator arm right end is fixed on the left side of turntable, and agitator arm is horizontal by skewed;The stir plate is fixed On agitator arm, stir plate is for stirring the sphere in mixing chamber.When pushing pusher head to move to box house, dial Bar is moved to the left with pusher head, due to the fixed pin in transmission shaft as driving lever moves horizontally, so that transmission shaft is pushed to rotate, The rotation of transmission shaft drives turntable rotation, so that agitator arm rotates in mixing chamber, stir plate carries out the sphere in mixing chamber Adequately agitation, the randomness that the confusion degree and sphere for increasing sphere fall from through-hole one, the effect that ensure that experiment.
The barrier plate is fraction block structure, and barrier plate is rigid, and barrier plate is radially divided at least three Block, the radial direction of the outer lateral edge cabinet of barrier plate is horizontally disposed motion bar, the quantity and the quantity phase of stopper of motion bar Together, spring two is cased on motion bar, spring two is provided with for motion bar level between stopper and cabinet wall, on cabinet The through slot passed through, the through slot that motion bar is pierced by cabinet extend outwardly, and the one end of motion bar outside the enclosure is provided with gear two;It is described Two axis of gear is overlapped with the axis of motion bar, and gear two is rotatably installed on the lateral wall of cabinet by hollow rotating shaft, gear Two centers are provided with unthreaded hole in the axial direction, and the diameter of unthreaded hole is greater than the diameter of motion bar, and the inner wall of unthreaded hole is provided with spiral slide Slot, motion bar pass through the unthreaded hole of hollow rotating shaft and gear two;The motion bar surface is provided with poke rod, and poke rod is located at gear In two spiral chute, the top of gear two and cabinet are coaxially arranged with fluted disc;The fluted disc is rotatably installed on cabinet, fluted disc Lower surface is provided with tooth-shape structure, and fluted disc is meshed with the gear two of lower section.Sphere from through-hole two from falling under the effect of gravity Afterwards, it falls on stopper, stopper blocks sphere, and after unclamping pusher head, as limiting plate moves right, tapping board is to ball Body carries out flying hit, and impact force makes sphere push stopper, and stopper is with motion bar horizontal outward movement, the fortune of motion bar Dynamic to rotate gear two, the rotation of two rotation driven gear of gear to make each gear two while rotate, realizes stopper Uniform expansion, ensure that sphere is fallen from the center that the sphere of cabinet exports, to achieve the effect that random.
Elastic balloon is provided between the partition one and partition two, elastic balloon is fixed on the left side of cabinet.Elastic gas On the one hand the presence of capsule avoids the inner left wall that limiting plate directly hits cabinet, advantageous after another aspect elastic balloon is compressed In the Rapid reset of limiting plate, the demonstration efficiency of device is improved.
The radian of the arc panel is 60 °.The design of arc panel randomly falls into the first collection after capable of making fall of ball In frame or the second collection frame.
Foam-rubber cushion is provided in first collection frame and the second collection frame, the presence of sponge avoids the anti-of sphere Bullet, to ensure that going on smoothly for demonstration.
Beneficial effects of the present invention are as follows:
1. a kind of mathematics discrete random variable apparatus for demonstrating of the present invention, the present invention is by using allocation unit Fall only one each sphere;Meanwhile the design of stopper, it is stuck in sphere on stopper, and strike by tapping board Sphere makes sphere by barrier plate, and the deformation of barrier plate surrounding is consistent, thus guarantee that sphere is in the center that sphere exports and falls, from And it ensure that falling on the first collection frame or the second collection frame has randomness, improves practicability, the operation side of apparatus for demonstrating Just.
2. a kind of mathematics discrete random variable apparatus for demonstrating of the present invention, the allocation unit that the present invention uses exist It drives the stir plate rotation in mixing chamber to stir the sphere in mixing chamber when movement, makes to fall on the sphere in allocation unit With randomness, the accuracy of experiment is improved.
3. a kind of mathematics discrete random variable apparatus for demonstrating of the present invention, stopper is divided into more by the present invention Block, while stopper is set as rigidity, then passes through the gear motion of gear two and fluted disc, makes the uniform expansion of each stopper , it ensure that the center for being in sphere outlet when sphere passes through stopper always, to ensure again the random of experiment Property.
Detailed description of the invention
Fig. 1 is main view of the invention;
Fig. 2 is the A-A cross-sectional view in Fig. 1 of the present invention;
Fig. 3 is the B-B cross-sectional view in Fig. 1 of the present invention;
In figure: cabinet 1, partition 2 12, allocation unit 2, barrier plate 3, taps unit 4, arc panel 5, bracket at partition 1 6, the first collection frame 7, the second collection frame 8, sphere export 13, mixing chamber 14, through-hole 1, through-hole 2 121, limiting plate 21, push away Lever 22, pusher head 23, temporary storage cavity 211, tapping board 41, elastic string 42, gear 1, agitation unit 9, transmission shaft 91, driving lever 92, turntable 93, agitator arm 94, stir plate 95, fixed pin 96, motion bar 31, gear 2 32, hollow rotating shaft 33, fluted disc 34, elasticity Air bag 10.
Specific embodiment
It is said as follows using a kind of mathematics of Fig. 1-Fig. 3 to an embodiment of the present invention with discrete random variable apparatus for demonstrating It is bright.
As depicted in figs. 1 and 2, a kind of mathematics discrete random variable apparatus for demonstrating of the present invention, including cabinet 1, partition 1, partition 2 12, allocation unit 2, barrier plate 3, tap unit 4, arc panel 5, bracket 6, the first collection frame 7 and the Two collection frames 8, the input port of sphere is provided at the top of the cabinet 1, and 1 bottom of cabinet is funnel structure, the bottom of funnel structure It is provided with sphere outlet 13;The partition 1 is horizontally fixed on inside cabinet 1, and partition 1 is formed with 1 upper space of cabinet Mixing chamber 14, sphere are stored in mixing chamber 14, and the through-hole 1 passed through for sphere is provided on partition 1;The partition 2 12 are horizontally fixed on inside cabinet 1, and partition 2 12 is located at the lower section of partition 1, are provided on partition 2 12 and pass through for sphere Through-hole 2 121, the position of through-hole 1 and through-hole 2 121 deviates;The allocation unit 2 setting partition 1 and every Between plate 2 12, the through-hole 2 121 that allocation unit 2 is used to that only one each sphere to be made to pass through partition 2 12, allocation unit 2 is wrapped Include limiting plate 21, catch bar 22, pusher head 23 and spring one, the setting of limiting plate 21 partition 1 and partition 2 12 it Between, the upper and lower ends of limiting plate 21 are contacted with partition 1 and partition 2 12 respectively, and limiting plate 21 is perpendicular in the part close to left side It is directly provided with the temporary storage cavity 211 of perforation upper and lower surface, temporary storage cavity 211 is for storing a sphere;The catch bar 22 is horizontal solid It is scheduled on the right side of limiting plate 21, being horizontally disposed on the right side wall of cabinet 1 has the sliding slot passed through for catch bar 22, catch bar 22 Extend cabinet 1 across the sliding slot of cabinet 1;The pusher head 23 is fixed on the right end of catch bar 22, and pusher head 23 is located at cabinet 1 Outside, spring one be arranged on catch bar 22, spring one is between cabinet 1 and pusher head 23;The setting of barrier plate 3 exists The sphere of 1 bottom of cabinet exports 13 positions, and barrier plate 3 is used to that the sphere across partition 2 12 to be prevented to export from the sphere of cabinet 1 13 fall, and barrier plate 3 is elastic material, are sealed with gas in barrier plate 3;The percussion unit 4 be used for be blocked plate 3 stop Sphere tapped, so that sphere is passed through barrier plate 3 and realize vertical whereabouts, tapping unit 4 includes tapping board 41, elastic string 42 and gear 1, the tapping board 41 be hinged on inside cabinet 1, when tapping board 41 is in a horizontal position with barrier plate 3 on The highest point contact of sphere, tapping board 41 are provided with torsional spring in hinged position;2 12 upper surface of partition is provided with deep gouge, Gear 1 is mounted in the deep gouge of partition 2 12 by shaft, and the bottom of limiting plate 21 is provided with tooth-shape structure, gear 1 It is meshed with the tooth-shape structure of limiting plate 21;Described 42 one end of elastic string is fixed on tapping board 41, and 42 other end of elastic string twines It is wound in shaft;The arc panel 5 is set to the center of 1 sphere of cabinet outlet, 13 lower section by bracket 6, arc panel 5 The left and right sides is symmetrically arranged with the first collection frame 7 and the second collection frame 8.When needing to carry out teaching demonstration, first into cabinet 1 It is put into the sphere of two kinds of same material sizes, different colours, then pusher head 23 is moved to 1 internal motion of cabinet with hand push, limits Plate 21 carries 2 121 position of through-hole that a sphere moves to partition 2 12, and the sphere in limiting plate 21 successfully passes through logical Hole 2 121 is fallen, and the right side entity part of limiting plate 21 is located at one 111 lower section of through-hole of partition 1 at this time, prevents mixing Sphere in chamber 14 is fallen, realize it is primary only a ball is allowed to pass through through-hole 2 121, to ensure that the random of experiment Property, during limiting plate 21 moves downward, limiting plate 21 rotated counterclockwise with moving gear 1 make elastic string 42 wound on In shaft, will hit against plate 41 and dig, avoid sphere from through-hole 2 121 fall after blocking by tapping board 41, so that sphere is suitable It is agile on stopper;Then by pusher head 23 is unclamped, limiting plate 21 is pushed back initial position under the elastic force effect of spring one, So that temporary storage cavity 211 is located at the underface of through-hole 1, a sphere in mixing chamber 14 it is random fall into the temporary of limiting plate 21 In chamber 211, during limiting plate 21 moves right, limiting plate 21 rotated clockwise with moving gear 1 make elastic string 42 from It is unclamped in shaft, tapping board 41 rotates counterclockwise under the action of torsional spring strikes the sphere on stopper, and sphere is rushed It hits power and passes through stopper and 13 fallen from sphere outlet, the sphere fallen randomly falls into the first collection after hitting arc panel 5 Frame 7 or the second collection frame 8 repeat aforesaid operations, fall sphere one by one;Then, operator can observe the first receipts Collect the quantity of two kinds of same materials color sphere of different sizes in frame 7 or the second collection frame 8, it is for statistical analysis.
As shown in Figure 1, being additionally provided with agitation unit 9 in the cabinet 1, agitation unit 9 is used for the ball in mixing chamber 14 Body is stirred, to increase the confusion degree of 14 interior spheroid of mixing chamber, guarantees the randomness of experiment, agitation unit 9 includes passing Moving axis 91, driving lever 92, turntable 93, agitator arm 94 and stir plate 95, the transmission shaft 91 are horizontally arranged at the right side wall of cabinet 1 On, the external peripheral surface of transmission shaft 91 is provided with helicla flute, and transmission shaft 91 is located at the top of partition 1;92 lower end of driving lever It is fixed in pusher head 23,92 upper end of driving lever is provided with fixed pin 96, and fixed pin 96 is located in the helicla flute of transmission shaft 91;It is described Turntable 93 is located in cabinet 1, and turntable 93 is fixed on the left end of transmission shaft 91;94 quantity of agitator arm is at least two, agitator arm 94 right ends are fixed on the left side of turntable 93, and agitator arm 94 is horizontal by skewed;The stir plate 95 is fixed on agitation On bar 94, stir plate 95 is for stirring the sphere in mixing chamber 14.Push pusher head 23 to 1 internal motion of cabinet When, driving lever 92 is moved to the left with pusher head 23, due to the fixed pin 96 in transmission shaft 91 as driving lever 92 moves horizontally, thus Transmission shaft 91 is pushed to rotate, the rotation of transmission shaft 91 drives turntable 93 to rotate, so that agitator arm 94 rotates in mixing chamber 14, stirs Movable plate 95 adequately stirs the sphere in mixing chamber 14, and the confusion degree and sphere for increasing sphere are under through-hole 1 The randomness that falls, the effect that ensure that experiment.
As shown in figure 3, the barrier plate 3 is fraction block structure, barrier plate 3 as another embodiment of the invention For rigid, barrier plate 3 is radially divided at least three pieces, and the radial direction of the outer lateral edge cabinet 1 of barrier plate 3 is horizontal It is provided with motion bar 31, the quantity of motion bar 31 and the quantity of stopper are identical, it is cased with spring two on motion bar 31, two, spring Between 1 inner wall of stopper and cabinet, be provided on cabinet 1 for motion bar 31 horizontal through through slot, motion bar 31 is pierced by case The through slot of body 1 extends outwardly, and the one end of motion bar 31 outside cabinet 1 is provided with gear 2 32;2 32 axis of gear and work The axis of lever 31 is overlapped, and gear 2 32 is rotatably installed on the lateral wall of cabinet 1 by hollow rotating shaft 33,2 32 center of gear It is provided with unthreaded hole in the axial direction, the diameter of unthreaded hole is greater than the diameter of motion bar 31, and the inner wall of unthreaded hole is provided with spiral chute, living Lever 31 passes through the unthreaded hole of hollow rotating shaft 33 and gear 2 32;31 surface of motion bar is provided with poke rod, and poke rod is located at In the spiral chute of gear 2 32, the top of gear 2 32 and cabinet 1 are coaxially arranged with fluted disc 34;The fluted disc 34 is rotatablely installed On cabinet 1,34 lower surface of fluted disc is provided with tooth-shape structure, and fluted disc 34 is meshed with the gear 2 32 of lower section.Sphere is from weight After falling under power effect from through-hole 2 121, falling on stopper, stopper blocks sphere, after unclamping pusher head 23, with Limiting plate 21 moves right, tapping board 41 to sphere carry out flying hit, impact force make sphere push stopper, stopper with 31 horizontal outward movement of motion bar, the movement of motion bar 31 rotate gear 2 32, the rotation of 2 32 rotation driven gear of gear, from And make each gear 2 32 while rotating, the uniform expansion of stopper is realized, ensure that sphere is exported from the sphere of cabinet 1 13 center is fallen, to achieve the effect that random.
As shown in Figure 1, being provided with elastic balloon 10 between the partition 1 and partition 2 12, elastic balloon 10 is fixed on The left side of cabinet 1.On the one hand the presence of elastic balloon 10 avoids the inner left wall that limiting plate 21 directly hits cabinet 1, another The Rapid reset for being conducive to limiting plate 21 after aspect elastic balloon 10 is compressed improves the demonstration efficiency of device.
As shown in Figure 1, the radian of the arc panel 5 is 60 °.The design of arc panel 5 can make after fall of ball randomly It falls into the first collection frame 7 or the second collection frame 8.
As shown in Figure 1, being provided with foam-rubber cushion in first collection frame 7 and the second collection frame 8, the presence of sponge is avoided The rebound of sphere, to ensure that going on smoothly for demonstration.
Detailed process is as follows:
When needing to carry out teaching demonstration, the ball of two kinds of same material sizes, different colours is put into cabinet 1 first Body then moves pusher head 23 to 1 internal motion of cabinet with hand push, and limiting plate 21 carries a sphere and moves to partition 2 12 2 121 position of through-hole, the sphere in limiting plate 21 successfully pass through through-hole 2 121 and fall, at this time the right side entity of limiting plate 21 Part is located at one 111 lower section of through-hole of partition 1, prevents falling for the sphere in mixing chamber 14, and realizing primary allows One ball passes through through-hole 2 121, thus ensure that the randomness of experiment, during limiting plate 21 moves downward, limiting plate 21 band moving gears 1, which rotate counterclockwise, makes elastic string 42 in shaft, will hit against plate 41 and digs, avoids sphere from through-hole 2 121 fall after blocking by tapping board 41, so that sphere is smoothly fallen on stopper;Then by unclamp pusher head 23, The elastic force of spring one acts on lower limiting plate 21 and is pushed back initial position, so that temporary storage cavity 211 is located at the underface of through-hole 1, mixes It closes in the temporary storage cavity 211 for falling into limiting plate 21 of a sphere at random in chamber 14, during limiting plate 21 moves right, Limiting plate 21 is rotated clockwise with moving gear 1 unclamps elastic string 42 from shaft, and tapping board 41 is inverse under the action of torsional spring Hour hands rotation strikes the sphere on stopper, and the sphere power that is hit passes through stopper and 13 falls from sphere outlet, The sphere fallen randomly falls into the first collection frame 7 or the second collection frame 8 after hitting arc panel 5, repeats aforesaid operations, makes ball Body is fallen one by one;Then, operator can observe two kinds of same material sizes in the first collection frame 7 or the second collection frame 8 The quantity of different colours sphere, it is for statistical analysis.
When pushing pusher head 23 to 1 internal motion of cabinet, driving lever 92 is moved to the left with pusher head 23, due to transmission shaft Fixed pin 96 in 91 is moved horizontally with driving lever 92, so that transmission shaft 91 be pushed to rotate, the rotation of transmission shaft 91 drives turntable 93 rotations, so that agitator arm 94 rotates in mixing chamber 14, stir plate 95 adequately stirs the sphere in mixing chamber 14, Randomness that the confusion degree and sphere for increasing sphere fall from through-hole 1 ensure that the effect of experiment.
Sphere is fallen on stopper after falling under the effect of gravity from through-hole 2 121, and stopper blocks sphere, when After unclamping pusher head 23, as limiting plate 21 moves right, tapping board 41 carries out flying hit to sphere, and impact force makes under sphere Pressure drag block, stopper is with 31 horizontal outward movement of motion bar, and the movement of motion bar 31 rotates gear 2 32, gear 2 32 Rotation driven gear rotation, to make each gear 2 32 while rotate, realizes the uniform expansion of stopper, ensure that ball Body is fallen from the center of the sphere of cabinet 1 outlet 13, to achieve the effect that random.
On the one hand the presence of elastic balloon 10 avoids the inner left wall that limiting plate 21 directly hits cabinet 1, on the other hand The Rapid reset for being conducive to limiting plate 21 after elastic balloon 10 is compressed improves the demonstration efficiency of device.
More than, it is illustrated about one embodiment of the present invention, but the present invention is not limited to the above embodiments, It does not depart from and is able to carry out various changes in the range of present subject matter.
Industrial applicibility
According to the present invention, this mathematics discrete random variable apparatus for demonstrating, the present invention make often by using allocation unit Only one secondary sphere is fallen;Meanwhile the design of stopper, it is stuck in sphere on stopper, and strike sphere by tapping board Make sphere by barrier plate, the deformation of barrier plate surrounding is consistent, to guarantee that sphere is in the center that sphere exports and falls, to protect It has demonstrate,proved and has fallen on the first collection frame or the second collection frame there is randomness, improved the practicability, easy to operate of apparatus for demonstrating, from And this mathematics discrete random variable apparatus for demonstrating is useful in mathematical education apparatus field.

Claims (6)

1. a kind of mathematics discrete random variable apparatus for demonstrating, it is characterised in that: including cabinet (1), partition one (11), partition Two (12), barrier plate (3), tap unit (4), arc panel (5), bracket (6), the first collection frame (7) and the at allocation unit (2) Two collection frames (8), cabinet (1) top are provided with the input port of sphere, and cabinet (1) bottom is funnel structure, funnel structure Bottom be provided with sphere outlet (13);The partition one (11) is horizontally fixed on cabinet (1) inside, partition one (11) and cabinet (1) upper space forms mixing chamber (14), and sphere is stored in mixing chamber (14), is provided on partition one (11) and passes through for sphere Through-hole one (111);The partition two (12) is horizontally fixed on cabinet (1) inside, and partition two (12) is located at partition one (11) Lower section is provided with the through-hole two (121) passed through for sphere, the position of through-hole one (111) and through-hole two (121) on partition two (12) It deviates;The allocation unit (2) is arranged between partition one (11) and partition two (12), and allocation unit (2) is for making every time Only one sphere by the through-hole two (121) of partition two (12), allocation unit (2) include limiting plate (21), catch bar (22), Pusher head (23) and spring one, the limiting plate (21) are arranged between partition one (11) and partition two (12), limiting plate (21) Upper and lower ends contacted respectively with partition one (11) and partition two (12), limiting plate (21) close to left side straightened portion be arranged There is the temporary storage cavity (211) of perforation upper and lower surface, temporary storage cavity (211) is for storing a sphere;The catch bar (22) is horizontal solid It is scheduled on the right side of limiting plate (21), being horizontally disposed on the right side wall of cabinet (1) has the sliding slot passed through for catch bar (22), pushes away The sliding slot that lever (22) passes through cabinet (1) extends cabinet (1);The pusher head (23) is fixed on the right end of catch bar (22), Pusher head (23) is located at the outside of cabinet (1), and spring one is arranged on catch bar (22), and spring one is located at cabinet (1) and pushes Between head (23);Sphere of barrier plate (3) setting in cabinet (1) bottom exports (13) position, and barrier plate (3) is for preventing Sphere across partition two (12) is fallen from the sphere of cabinet (1) outlet (13), and barrier plate (3) is elastic material, barrier plate (3) Inside it is sealed with gas;Described tap unit (4) are used to tap the sphere for being blocked plate (3) blocking, lead to sphere smoothly Cross barrier plate (3) realize it is vertical fall, tapping unit (4) includes tapping board (41), elastic string (42) and gear one (43), described Tapping board (41) is hinged on cabinet (1) inside, the highest of sphere when tapping board (41) is in a horizontal position and on barrier plate (3) Point contact, tapping board (41) are provided with torsional spring in hinged position;Partition two (12) upper surface is provided with deep gouge, gear one (43) it is mounted on by shaft in the deep gouge of partition two (12), the bottom of limiting plate (21) is provided with tooth-shape structure, gear one (43) it is meshed with the tooth-shape structure of limiting plate (21);Described elastic string (42) one end is fixed on tapping board (41), elastic string (42) other end is wrapped in shaft;The arc panel (5) is set to below cabinet (1) sphere outlet (13) by bracket (6) Center, be symmetrically arranged with the first collection frame (7) and the second collection frame (8) at left and right sides of arc panel (5).
2. a kind of mathematics discrete random variable apparatus for demonstrating according to claim 1, it is characterised in that: the cabinet (1) agitation unit (9) is additionally provided in, agitation unit (9) is for stirring the sphere in mixing chamber (14), to increase The confusion degree of mixing chamber (14) interior spheroid guarantees the randomness of experiment, and agitation unit (9) includes transmission shaft (91), driving lever (92), turntable (93), agitator arm (94) and stir plate (95), the transmission shaft (91) are horizontally arranged at the right side wall of cabinet (1) On, the external peripheral surface of transmission shaft (91) is provided with helicla flute, and transmission shaft (91) is located at the top of partition one (11);The driving lever (92) lower end is fixed on pusher head (23), and driving lever (92) upper end is provided with fixed pin (96), and fixed pin (96) is located at transmission shaft (91) in helicla flute;The turntable (93) is located in cabinet (1), and turntable (93) is fixed on the left end of transmission shaft (91);It is described Agitator arm (94) quantity is at least two, and agitator arm (94) right end is fixed on the left side of turntable (93), agitator arm (94) and water Plane is oblique;The stir plate (95) is fixed on agitator arm (94), and stir plate (95) is used for in mixing chamber (14) Sphere is stirred.
3. a kind of mathematics discrete random variable apparatus for demonstrating according to claim 1, it is characterised in that: the blocking Plate (3) is fraction block structure, and barrier plate (3) is rigid, and barrier plate (3) is radially divided at least three pieces, is stopped The radial direction of the outer lateral edge cabinet (1) of plate (3) is horizontally disposed to be had motion bar (31), the quantity of motion bar (31) and stopper Quantity is identical, and spring two is cased on motion bar (31), and spring two is located between stopper and cabinet (1) inner wall, and cabinet is set on (1) Be equipped with for motion bar (31) horizontal through through slot, the through slot that motion bar (31) is pierced by cabinet (1) extends outwardly, motion bar (31) The one end of cabinet (1) outside is provided with gear two (32);Gear two (32) axis is overlapped with the axis of motion bar (31), tooth Two (32) of wheel are rotatably installed on the lateral wall of cabinet (1) by hollow rotating shaft (33), and gear two (32) center is in the axial direction It is provided with unthreaded hole, the diameter of unthreaded hole is greater than the diameter of motion bar (31), and the inner wall of unthreaded hole is provided with spiral chute, motion bar (31) Unthreaded hole across hollow rotating shaft (33) and gear two (32);Motion bar (31) surface is provided with poke rod, and poke rod is located at In the spiral chute of gear two (32), the top and cabinet (1) of gear two (32) are coaxially arranged with fluted disc (34);The fluted disc (34) it is rotatably installed on cabinet (1), fluted disc (34) lower surface is provided with tooth-shape structure, the gear two of fluted disc (34) and lower section (32) it is meshed.
4. a kind of mathematics discrete random variable apparatus for demonstrating according to claim 1, it is characterised in that: the partition It is provided between one (11) and partition two (12) elastic balloon (10), elastic balloon (10) is fixed on the left side of cabinet (1).
5. a kind of mathematics discrete random variable apparatus for demonstrating according to claim 1, it is characterised in that: the arc The radian of plate (5) is 60 °.
6. a kind of mathematics discrete random variable apparatus for demonstrating according to claim 1, it is characterised in that: described first Foam-rubber cushion is provided in collection frame (7) and the second collection frame (8).
CN201811030960.7A 2018-09-05 2018-09-05 Discrete random variable demonstration device for mathematics Active CN108961940B (en)

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