CN109686194A - The demonstration of ball-type number of combinations and event frequency chamber are taken at random - Google Patents

The demonstration of ball-type number of combinations and event frequency chamber are taken at random Download PDF

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Publication number
CN109686194A
CN109686194A CN201910099105.XA CN201910099105A CN109686194A CN 109686194 A CN109686194 A CN 109686194A CN 201910099105 A CN201910099105 A CN 201910099105A CN 109686194 A CN109686194 A CN 109686194A
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China
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ball
round tube
random
spherical surface
combinations
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CN201910099105.XA
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Chinese (zh)
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王书营
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Nanjing Institute of Industry Technology
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Nanjing Institute of Industry 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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Abstract

The present invention discloses takes the demonstration of ball-type number of combinations and event frequency chamber at random, the object of the present invention is to provide a kind of energy rapid build random experiment environment, can be automatically performed under overall process monitoring and take ball test, combination meaning demonstration, number of combinations statistics, event frequency verifying, probability statistics defined analysis etc. at random.Including bracket, fan-shaped outer cover, rectangle fence, position adjuster, mixer, ball picking device, test ball.The present apparatus includes easy to operate, and all Demonstrator Trials and random number synthesis can be completed as long as swing handle;Multiple functional high degree of automation: the series full automatic working processes such as test ball is mixed, randomly selected, position adjusts, number display, combination composition can be continuously finished;Strong applicability: it can be tested, demonstrated and be analyzed at any visual angle of a variety of occasions;It is compact-sized low in cost easy to carry, it is suitable for teaching, just election, match.

Description

The demonstration of ball-type number of combinations and event frequency chamber are taken at random
Technical field
The present invention relates to a kind of teaching modes, especially take the demonstration of ball-type number of combinations and event frequency chamber at random.
Background technique
The statistical property of probability is important foundation knowledge in random theory, plays important work in solving related indeterminate problem With, be senior middle school, part and parcel in College Maths, in discrete type random quantity it is the most typical and basic be zero-one distribution and Bi-distribution, it is exactly best real example that wherein the uniform coin of throwing, regular hexahedron dice etc., which test showed process and result, And teacher does not have dedicated test tool to carry out on-the-spot demonstration in teaching, at most using throwing coin activity simple declaration or thing Static descriptive analysis, student lack real background in observational learning and do not see true random process and probable event afterwards The statistical result of generation, the not high scientific sex expression of classroom efficiency are unobvious.For a long time without finding that the synthesis of this respect is answered With tool or device, only there is some local functions or relevant device, e.g., number of patent application 201620584403X Document in give " a kind of high school mathematics stochastic variable teaching aid ", by support, spring I, semicircle box, gripping mechanism, Roller, electromagnet I, iron plate, electromagnet II, electric pushrod, oscillating cylinder, ceiling hold, pulley, electronic reel I, drawstring I, again Object, balance weight and oscillating deck composition.Major function is that black ball and Archon are separated into two groups at random after mechanical mixture, solution It is random experiment phenomenon problem in Classical Probability Spaces, 01 distribution characteristics of test and explanation of jettisoninging cannot be demonstrated.Number of patent application is " a kind of Normal probability distribution demonstration device ", including demonstration board, ball cylinder, n-layer six are given in the document of CN201220704817.3 Prism, dress ball case etc., show Normal probability distribution to the projection form accumulated by ball, without reference to drilling for 01 distribution aspects Show, systematization and practicability are insufficient.It is given in the document that number of patent application is CN201510167393.X " a kind of to utilize normal state The method that distribution determines equipment fault " is transported when equipment is operated normally in acquiring multiple equipment in the first time interval of setting The first data of row, and establish multiple equipment and run the curve that the first data change over time;It calculates between the first time of setting The first of the first data are run every the interior same equipment and shows number, and establishes normal distribution relation curve, and it is credible to obtain 95% Section.01 distributions cannot be demonstrated.
Summary of the invention
In order to solve the above technical problems, the technical solution adopted in the present invention is as follows:
The demonstration of ball-type number of combinations is taken at random and event frequency chamber includes mount holder, fan-shaped outer cover, rectangle fence, adjusts Position device, mixer, ball picking device and test ball, it is characterised in that: position adjuster and ball picking device, the position adjuster include position adjuster bottom Plate, cylindrical seat, rubber pneumatic bag and spherical surface pallet, the position adjuster plate upper surface are equipped with cylindrical seat, the cylindrical seat Upper surface be equipped with spherical groove, be equipped in the spherical groove in permanent magnet, the upper surface of institute's permanent magnet is equipped with spherical surface Pallet, the bottom of the spherical surface pallet offer bronchus mouth, are equipped with bronchus, the bronchus lower end in the bronchus mouth It is connected with main tracheae, the both sides of the bronchus mouth is equipped with electrode, and the other end of the main tracheae is equipped with rubber pneumatic bag, the rubber The other end of glue air bag is equipped with air inlet pipe, and ball picking device includes third groove slideway, third sliding block, the first round tube, the second round tube, the Three round tubes, the first spherical surface cover and rubber suction cups, the opening of the first spherical surface cover is interior to be equipped with the second circle ring disk, second annulus Disk is equipped with rubber suction cups, and the upper top of the rubber suction cups is equipped with third round tube, and third round tube lower end outer surface is arranged with Third circle ring disk, third circle ring disk upper surface are equipped with second spring, and the second spring other end is connect with the first round tube, The upper end that first round tube upper surface is equipped with the second round tube described in the second round tube is equipped with the second disk, the second disk following table Face is equipped with third spring, and the third spring other end is connect with third round tube, and two sides are equipped with third below the third spring The top of rectangular opening, the third round tube is equipped with vertical hard straight-bar, and the both ends of the hard straight-bar are respectively from third rectangular opening It stretches out, the both ends of the hard straight-bar are respectively equipped with cylindrical handle, are equipped with third groove slideway, the tune in the middle part of second round tube Position device is placed on mount holder, and the sector outer cover and rectangle fence are respectively placed in mount holder top, and the mixer is placed in In fan-shaped outer cover and rectangle fence, the test ball 7 is placed on mixer, and the ball picking device is placed on rectangle fence;
Further technical solution, the inner end of the air inlet pipe are equipped with elastic valve;
Further technical solution is equipped with airtight core between the rubber pneumatic bag and main tracheae.
Compared with prior art, the invention has the advantages that
1, of the invention that ball-type number of combinations is taken to demonstrate and event frequency chamber at random, it is easy to operate, as long as pulling open elasticity All Demonstrator Trials and number of combinations building can be completed by switching mobile ball picking device.
2, of the invention that ball-type number of combinations is taken to demonstrate and event frequency chamber at random, multiple functional high degree of automation: The series full automatic working processes such as test ball is mixed, randomly selected, position adjusts, number display, combination formation can be continuously finished; Strong applicability: it can be tested, demonstrated and be analyzed at any visual angle of a variety of occasions;It is compact-sized low in cost easy to carry, it fits For imparting knowledge to students, competing, just election, random statistical etc..
3, occur on the market without this kind of product at present, take the demonstration of ball-type number of combinations and event frequency chamber cost at random Cheap safe and reliable device is light and handy.
Detailed description of the invention
Fig. 1 is structural schematic diagram of the invention.
Fig. 2 is the structural schematic diagram of indsole board mount of the present invention.
Fig. 3 is the structural schematic diagram of fan-shaped outer cover in the present invention.
Fig. 4 is the structural schematic diagram of rectangle fence in the present invention.
Fig. 5 is the structural schematic diagram of position adjuster in the present invention.
Fig. 6 is the structural schematic diagram of mixer in the present invention.
Fig. 7 is the structural schematic diagram of ball picking device in the present invention.
Fig. 8 is the structural schematic diagram of test ball in the present invention.
In attached drawing: 1- mount holder, the first arc plate of 11-, the first rectangular slab of 12-, 13- strut, 14- threaded rod, 15- tune Position nut, 16- terrace with edge pedestal, 17- arc-shaped partition, the first elliptical aperture of 18-, the first nail hole of 19-, the second nail hole of 110-;2- is fan-shaped Outer cover, the second rectangular slab of 21-, 22- third rectangular slab, 23- cylinder panel, the second arc plate of 24-, the first annulus of 25- card, 26- Rectangle gap, the first rectangular opening of 27-, 28- activity hinder device, 281- bolt, 282- hardboard block, the first spring of 283-, 284- first Nut;3- rectangle fence, the 4th rectangular slab of 31-, the 5th rectangular slab of 32-, the 6th rectangular slab of 33-, the first circular hole of 34-, 36- write Plate, the second annulus of 37- card, the second groove of 39- slideway, the second sliding block of 311-;4- position adjuster, 41- position adjuster bottom plate, 42- cylinder Pedestal, 43- spherical groove, 44- permanent magnet, 45- rubber pneumatic bag, 46- spherical surface pallet, 47- bronchus, 48- bronchus mouth, 49- electrode, 410- gas valve, the main tracheae of 411-, 412- airtight core, 413- air inlet pipe, 414- elasticity valve, 415- third nail Hole, 416- power interface;5- mixer, 51- mixer bottom plate, 52- circular shaft bar, the hand turntable of 53-, the 7th rectangular slab of 511-, 512- third arc plate, 513- arc breast board, 514- third circular hole, the second rectangular opening of 515-, 516- soft cloth, the right angle 517- column Plate, 521- first bearing, 522- second bearing, the first circle ring disk of 523-, the 4th circular hole of 524-, the first disk of 531-, 532- Five circular holes, 533- pin handle, 534- pin;6- ball picking device, 61- third groove slideway, 62- third sliding block, the circle of 63- first Pipe, the second round tube of 64-, 65- third round tube, the first spherical surface of 66- cover, 67- rubber suction cups, the second circle ring disk of 68-, 611- rectangular channel Ditch, the 4th nail hole of 612-, the 5th nail hole of 613-, the first lockset of 614-, the 6th circular hole of 621-, the second lockset of 622-, 631- second Spring, 641- third circle ring disk, the second disk of 642-, 643- third rectangular opening, the hard straight-bar of 651-, 652- cylindrical handle, 653- Third spring;7- test ball, 71- Archon band, the red spherical surface cover of 72-, 73- black ball mask, 711- hyaloplasmic sphere band, the 4th annulus of 712- Disk, the first screwed pipe of 713-, 714- transparent round tube, 715- spoke, 716- insulation annulus, 717- diode lights, 718- metallic rod, 719- spherical surface sheet metal, the 5th circle ring disk of 7110-, the second screwed pipe of 7111-, 7112- balancing pole, the second spherical surface of 721- cover, The 6th circle ring disk of 722-, 723- third screwed pipe, 731- third spherical surface cover, the 7th circle ring disk of 732-, the 4th screwed pipe of 733-, The 5th circular hole of 734-.
Specific embodiment
The present invention and embodiment are further described technical solution of the present invention with reference to the accompanying drawing.
As shown in figures 1-8, take at random ball-type number of combinations demonstrate and event frequency chamber include mount holder 1, it is fan-shaped outer Cover 2, rectangle fence 3, position adjuster 4, mixer 5, ball picking device 6 and test ball 7, the position adjuster 4 are placed on mount holder 1, institute It states fan-shaped outer cover 2 and rectangle fence 3 is respectively placed in 1 top of mount holder, the mixer 5 is placed in fan-shaped outer cover 2 and rectangle In column 3, the test ball 7 is placed on mixer 5, and the ball picking device 6 is placed on rectangle fence 3.
As shown in Figure 1, 2, mount holder 1 includes the first arc plate 11, the first rectangular slab 12, strut 13, threaded rod 14, adjusts Position nut 15, terrace with edge pedestal (16), arc-shaped partition 17 and the first elliptical aperture 18, first arc plate 11 and the first rectangular slab 12 It is all straight hardboard, first arc plate 11 is the arc removed a circular sector plate after the isosceles triangle comprising central angle The rearward edge of shape plate, first rectangular slab 12 is equipped with the first arc plate 11, first arc plate 11 and the first rectangular slab 12 constitute one piece of hard bottom plate of straight polygon, are equipped with strut 13 below the hard bottom plate of polygon, the strut 13 includes Threaded rod 14, positioning nut 15 and terrace with edge pedestal 16,14 outer surface of threaded rod are arranged with positioning nut 15, the strut 13 It is that one end of threaded rod 14 is fixed on to the hard bottom plate of polygon in the following, the other end is equipped with terrace with edge pedestal 16, first rectangular slab 12 left and right ends front end are equipped with the first nail hole 19, and centre is equipped with the first elliptical aperture 18, is equipped with arc behind first elliptical aperture 18 Shape partition 17, the second nail hole 110 is equipped at the exterior angle of first arc plate 11, and the sector outer cover 2 and rectangle fence 3 are distinguished It is placed in 12 top of the first arc plate 11 and the first rectangular slab of mount holder 1.
As shown in Figure 1,3, fan-shaped outer cover 2 includes the second rectangular slab 21, third rectangular slab 22, cylinder panel 23 and the second circle Arc plate 24, second rectangular slab 21, third rectangular slab 22, cylinder panel 23, the second arc plate 24 are all thin transparent hardboard, institute It states and is successively arranged the second rectangular slab 21 and third rectangular slab 22 normal thereto on 23 or so straight flange rib of cylinder panel, described second Rectangular slab 21, third rectangular slab 22, cylinder panel 23 upper top surface be equipped with the second arc plate 24, sector outer cover 2 front surface Equipped with rectangle gap 26, the middle part of the cylinder panel 23 offers the first rectangular opening 27, is equipped in first rectangular opening 27 Activity resistance device 28, the activity resistance device 28 includes bolt 281, hardboard block 282, the first spring 283 and the first nut 284, described The upper surface of hardboard block 282 is equipped with the first spring 283, side is equipped with bolt 28, and the bolt 28 is equipped with the first nut 284, The activity resistance device 28 is placed in bolt 28 in first rectangular opening 27, and the hardboard block 282 and the first nut 284 successively occupy The left and right sides of cylinder panel 23, the lower arris of the cylinder panel 23 are equipped with the first annulus card 25, and the sector outer cover 2 is It is placed at the second nail hole 110 of the first arc plate 11 in mount holder 1 with screw by the first annulus card 25.
As shown in Fig. 1,4, rectangle fence 3 includes the 4th rectangular slab 31, the 5th rectangular slab 32 and the 6th rectangular slab 33, described 4th rectangular slab 31, the 5th rectangular slab 32, the 6th rectangular slab 33 are all thin transparent hardboards, the left and right two of the 6th rectangular slab 33 End is successively arranged the 5th rectangular slab 32 and the 4th rectangular slab 31 normal thereto, the 5th rectangular slab 32 and the 4th rectangular slab 31 With 33 medium line of the 6th rectangular slab for symmetrical axially symmetric structure, top surface is equipped with the second groove slideway on the 4th rectangular slab 31 39, the second sliding block 311 is equipped in the groove of the second groove slideway 39, and the is equipped in the middle part of the right end of the 4th rectangular slab 31 One circular hole 34, the 33 surface upper end of the 6th rectangular slab are equipped with clipboard 36, and the both ends of the 6th rectangular slab 33 are equipped with second Annulus card 37, the rectangle fence 3 are to be placed in mount holder 1 on first rectangular slab 12 with screw by the second annulus card 37 At first nail hole 19, the right end of the 5th rectangular slab 32 and the 4th rectangular slab 31 connects with the rectangle gap 26 of fan-shaped outer cover 2.
As shown in Figure 1,5, position adjuster 4 includes position adjuster bottom plate 41, cylindrical seat 42, rubber pneumatic bag 45 and spherical surface pallet 46, the position adjuster bottom plate 41 is rectangle hard sheet metal, and 41 upper surface of position adjuster bottom plate is equipped with cylindrical seat 42, the cylinder Pedestal 42 is made by insulating materials, and the upper surface of the cylindrical seat 42 is equipped with spherical groove 43, in the spherical groove 43 Equipped with spherical surface pallet 46 is equipped in the upper surface of permanent magnet 44, institute's permanent magnet 44, the spherical surface pallet 46 is by thin insulating Material is made into, and the bottom of the spherical surface pallet 46 offers bronchus mouth 48, is equipped with bronchus 47, institute in the bronchus mouth 48 It states 47 lower end of bronchus to be connected with main tracheae 411, the main tracheae 411 is parallel with position adjuster bottom plate 41, the bronchus mouth 48 Both sides be equipped with electrode 49, the electrode 49 divides for positive and negative anodes, and lower end passes through spherical surface pallet 46 and external power positive cathode It is connected, the other end of the main tracheae 411 is equipped with rubber pneumatic bag 45, is equipped between the rubber pneumatic bag 45 and main tracheae 411 airtight Core 412, the other end of the rubber pneumatic bag 45 are equipped with air inlet pipe 413, and the inner end of the air inlet pipe 413 is equipped with elastic valve 414. The both ends of the position adjuster bottom plate 41 are equipped with third nail hole 415 and power interface 416, and the position adjuster 4 is with screw by the Three nail hole 415 are fixed on 1 first rectangular slab 12 of mount holder, and bronchus 47, main tracheae 411 and rubber pneumatic bag 45 pass through first Elliptical aperture 18 is at the bottom.
As a shown in Figure 6, mixer 5 includes mixer bottom plate 51, circular shaft bar 52 and hand turntable 53, the mixer bottom Plate 51 includes the 7th rectangular slab 511 and third arc plate 512, and the 7th rectangular slab 511 and third arc plate 512 and first are justified Arc plate 11 and the first rectangular slab 12 match each other, and the right end of the 7th rectangular slab 511 is connect with third arc plate 512, described The dihedral angle that 7th rectangular slab 511 and third arc plate 512 are formed is obtuse angle, and the arris above the third arc plate 512 is set There is arc breast board 513, the middle part of the 7th rectangular slab 511 is equipped with the second rectangular opening 515,515 front end of the second rectangular opening Equipped with third circular hole 514, the third circular hole 514 is arranged in a linear, and the rear end upper surface of second rectangular opening 515 is equipped with soft Cloth 516, the 511 side rib of the 7th rectangular slab are equipped with right angle breast board 517, are equipped with fixation below the mixer bottom plate 51 Circular shaft bar 52, the left end of the circular shaft bar 52 are equipped with first bearing 521, and the end of the circular shaft bar 52 is equipped with second bearing 522, The surface of the second bearing 522 is arranged with the first fixed circle ring disk 523, sets on the outer edge of first circle ring disk 523 There is the 4th circular hole 524, the end of the circular shaft bar 52 is equipped with fixed hand turntable 53, and the hand turntable 53 includes the first circle Disk 531, pin handle 533 and pin 534, the outer edge of first disk 531 are equipped with the 5th circular hole 532, and the described 5th Pin handle 533 is equipped in circular hole 532, the inner end of the pin handle 533 is equipped with pin 534, and the mixer 5 is by first Bearing 521 and second bearing 522 are sequentially fixed in the second circular hole 35 and the first circular hole 34 on rectangle fence 3, mixer bottom Upward, hand turntable 53 is outside at the obtuse angle of plate 51.
As shown in Fig. 1,7, ball picking device 6 includes third groove slideway 61, third sliding block 62, the first round tube 63, the second round tube 64, third round tube 65, the first spherical surface cover 66 and rubber suction cups 67, the first spherical surface cover 66 are opening down hollow semi-cylindrical ball Body, the opening of the first spherical surface cover 66 is interior to be equipped with the second circle ring disk 68, the excircle and the first ball of second circle ring disk 68 66 inner circle of mask connects, and second circle ring disk 68 is equipped with rubber suction cups 67, and the rubber suction cups 67 is circular conical surface, the rubber The lower mouth of glue sucker 67 connects with 68 inner periphery of the second circle ring disk, and the upper top of the rubber suction cups 67 is equipped with third round tube 65, institute The upper top surface that third round tube 65 passes through the first spherical surface cover 66 is stated, the 65 lower end outer surface of third round tube is arranged with third circle ring disk 641,641 lower surface of third circle ring disk is connected with the first spherical surface cover 66, upper surface be equipped with second spring 631, described second 631 other end of spring is connect with the first round tube 63, and first round tube 63 is hollow circular tube, and upper surface is equipped with the less than diameter Two round tubes 64, second round tube 64 are hollow circular tube, and the upper end of second round tube 64 is equipped with the second disk 642, described the Two disks, 642 lower surface is equipped with third spring 653, and 653 other end of third spring is connect with third round tube 65, the third 653 lower section two sides of spring are equipped with third rectangular opening 643, and the third rectangular opening 643 is in symmetrical position below the second disk 642 It sets, the top of the third round tube 65 is equipped with vertical hard straight-bar 651, and the both ends of the hard straight-bar 651 are respectively from third rectangle It is stretched out in hole 643, the both ends of the hard straight-bar 651 are respectively equipped with cylindrical handle 652, are equipped with third in the middle part of second round tube 64 Groove slideway 61, the third groove slideway 61 is rectangle hardboard, and the middle part of the third groove slideway 61 offers rectangular channel Ditch 611, the rectangle groove 611 is interior to be equipped with matching third sliding block 62, is equipped with the 6th circular hole among the upper surface 621, the lower right corner is equipped with the second lockset 622, is equipped with the first fixed round tube 63, the third groove in the 6th circular hole 621 The left and right ends of slideway 61 are successively arranged the 4th nail hole 612, the 5th nail hole 613 and the first lockset 614, and the ball picking device 6 is to use Screw is sequentially fixed at the first sliding block 310 and the second sliding block 311 of rectangle fence 3 by the 4th nail hole 612 and the 5th nail hole 613 On.
As shown in Fig. 1,8, test ball 7 includes Archon band 71, red spherical surface cover 72 and black ball mask 73, and Archon band 71 includes saturating Bright spherical zone 711, transparent round tube 714 and diode lights 717, the hyaloplasmic sphere band 711 are by a transparent spherical surface with being parallel to ball Two planes of center circle clip two spherical surface hat remaining parts, and one layer of white scumbling is coated in the outside of the hyaloplasmic sphere band 711 Material, the inside of the hyaloplasmic sphere band 711 are equipped with spoke 715, and the spoke 715 is arranged along the big radius of circle of ball, the spoke 715 The other end is equipped with insulation annulus 716, and transparent round tube 714 is equipped between the insulation annulus 716 and hyaloplasmic sphere band 711, described With the number of ball on bright 714 lateral surface of round tube, the insulation annulus 716 is interior to be equipped with diode lights 717, the insulation annulus Metallic rod 718 is equipped with below 716, the upper end of two metallic rods 718 connects with the two poles of the earth of diode lights 717 respectively, institute The lower end for stating two metallic rods 718 is respectively equipped with spherical surface sheet metal 719, and the upper surface of described insulation annulus 716 is equipped with balancing pole 7112, the balancing pole 7112 is used to be equipped with the 4th in the upper round mouth of hyaloplasmic sphere band 711 described in the moving equilibrium of Adjustment Tests ball 7 The center of circle of circle ring disk 712, the 4th circle ring disk 712 is equipped with the first screwed pipe 713, and the surface of first screwed pipe 713 is set There is a screw thread, be equipped with the 5th circle ring disk 7110 in the lower circle port of the hyaloplasmic sphere band 711, on the center of circle of the 5th circle ring disk 7110 Equipped with the second screwed pipe 7111, second screwed pipe 7111 is identical as the first screwed pipe 713, and the red spherical surface cover 72 includes the Two spherical surface covers 721, the 6th circle ring disk 722 and third screwed pipe 723, the second spherical surface cover 721 is that transparent insulation material is made into , one layer of red thin coat is coated in the outside of the second spherical surface cover 721, and the is equipped in the round mouth of the second spherical surface cover 721 The inner periphery of six circle ring disks 722, the 6th circle ring disk 722 is equipped with third screwed pipe 723, the third screwed pipe 723 For screw thread in pipe, the black ball mask 73 is described black by third spherical surface cover 731, the 7th circle ring disk 732 and the 4th screwed pipe 733 The structure of spherical surface cover 73 is roughly the same with red spherical surface cover 72, and it is thin that difference is that one layer of black is coated in the outside of third spherical surface cover 731 Coating, the top of the third spherical surface cover 731 offer multiple 5th circular holes 734, the third screw thread by red spherical surface cover 72 723 sets of pipe are tightened on the first screwed pipe 713 of Archon band 71, by 733 sets of the 4th screwed pipe of black ball mask 73 in Archon band Tightened on 71 the second screwed pipe 7111, spherical surface sheet metal 719 close to third spherical surface cover 731 inner bottom surface, it is red spherical surface cover 72, black Spherical surface cover 73 and Archon band 71 be combined constitute an outside be it is red it is white it is black it is alternate can be with free rolling sphere, the examination Ball 7 is tested to be placed in above mixer 5.
The working principle for taking the demonstration of ball-type number of combinations and event frequency chamber at random of the invention is, according to uniform spherome And spherical surface iso-curvature feature constructs random environment, converts statistical data for random data using Electromagnetic Control and hydraulic drive. Its main feature is that: it is easy to operate, all Demonstrator Trials can be completed as long as swing handle;Multiple functional high degree of automation: energy It is continuously finished the series full automatic working processes such as test ball is mixed, randomly selected, position adjusts, number display, arrangement formation;It is suitable It is strong with property: to be tested, be demonstrated and composition at any visual angle of a variety of occasions;It is compact-sized low in cost easy to carry, it is applicable in In teaching, lottery industry, just election, random statistical etc..
Of the invention takes the demonstration of ball-type number of combinations and event frequency chamber at random, has and quickly demonstrates most n numbers Fully intermeshing, random number building and relevant issues test function, operating procedure is:
Device assembling and symbol setting, 1] the terrace with edge pedestal 16 of mount holder 1 is placed on a firm horizontal plane, it twists Dynamic positioning nut 15 makes mount holder 1 be in stable state.2] on the position adjuster 4 equipped with M spherical surface pallet 46, rubber is unloaded Position adjuster 4 is placed on the first rectangular slab 12 of mount holder 1 after air bag 45, then rubber pneumatic bag 45 from the first rectangular slab 12 Lower section connects with main tracheae 411;Fan-shaped outer cover 2 3] is placed in 11 top of the first arc plate of mount holder 1;4] by rectangle fence 3 are placed in 12 top of the first rectangular slab of mount holder 1;5] mixer 5 is placed in rectangle fence 3 and fan-shaped outer cover 2.6] it will take Ball device 6 is placed on rectangle fence 3.
Initial position adjustment: 1] gas valve 410 on 4 lower section all bronchi 47 of position adjuster is closed;2] fan is unclamped Activity resistance device 28 suitable position is moved on to after first nut 284 of 2 outside of shape outer cover to fix again;3] pin on mixer 5 is pulled open It follows closely handle 533 and pin 534 is detached from the first circle ring disk 523, rotating hand turntable 53 makes the 7th rectangular slab 511 be in horizontality It is fixed with pin 534 afterwards;Ball picking device 6 is moved to the upper left corner by the first lockset 614 and the second lockset 622 4] opened on ball picking device 6. 5] power interface 416 is connected with there is the power supply of switch.
Number of combinations demonstration: demonstrate from number be 1,2 ..., arbitrarily take out m in the ball of n and constitute one group, can form how many a Different groups, wherein m≤M < n, operating process when device is in initial position is: number of 1] choosing shuttles takes n test ball 7, twists The red spherical surface cover 72 on 7 top of test ball is opened, the transparent round tube 714 in Archon band 71 is taken out, digital number is write above and is put back to, The position of adjustment balancing pole 7112 makes to screw on red spherical surface cover 72 after seeking whole machine balancing.2] ball is put, by ready n shape phase Be respectively 1 with internal number, 2 ..., the test ball 7 of n be placed on the soft cloth 516 of mixer 5, see 7 phase of n test ball from the outside It is same to can't see number.3] it mixes, pulling open the pin 534 on mixer 5 and rotating hand turntable 53 makes n on the 7th rectangular slab 511 A test ball 7 is rolled on third arc plate 512, then is inverted and returned on the 7th rectangular slab 511, and n test ball 7 can be made by being repeated several times It is uniformly distributed, then is fixed after the 7th rectangular slab 511 is adjacent to the spherical surface pallet 46 of position adjuster 4, n test ball 7 all concentrates on On the soft cloth 516 of 17 right of arc-shaped partition;4] ball is taken, the first lockset 614 and the second lockset 622 is opened, catches the second disk 642 The first spherical surface cover 66 on ball picking device 6 is moved on to above the ball for wanting to take, gently draws cylindrical handle 652 upwards with finger, press downwards Press the second disk 642 that the first spherical surface cover 66 is made to cover ball to be taken and be denoted as test ball Q1, unclamp cylindrical handle 652 by rubber suction cups with Air discharge between test ball Q1, then pull up cylindrical handle 652 with finger and stop pressing the second disk 642;5] ball is moved, is put down It moves the second disk 642 any one third circular hole 514 into the 7th rectangular slab 511 of 17 left of arc-shaped partition and is denoted as third circular hole F1 Top, press down on the ball Q1 to be tested of the second disk 642 and enter and unclamp cylindrical handle 652 after F1, test ball Q1 is in third circle In the F1 of hole;6] continuously take ball move ball, repeat 4] take ball and 5] and operation, take out test ball at random in remaining n-1 test ball 7 Q2 be placed in remaining third circular hole 514 any one be denoted as in third circular hole F2, placed until taking out m-th test ball Qm In third circular hole Fm;7] turn on the power switch, by the test ball Qr1, Qr2 for having lamp bright in third circular hole 514 ..., the volume of Qrk It number is sequentially recorded on clipboard 36;8] positioning records, and one is selected in the test ball 7 for not having lamp bright in third circular hole 514 It is denoted as test ball Qrk+1, the gas valve 410 where opening it on 4 lower section bronchus 47 of position adjuster, with the tight rubber pneumatic bag of holding 45 inflation, test ball Qrk+1 can with gas be filled with do not stall it is dynamic, when the lamp in ball Qrk+1 to be tested is bright stop inflate and close Gas valve 410 is closed, its number is recorded on clipboard 36, completes the positioning of next test ball Qrk+2 again with same method With record, until last test ball Qrm;9] first combination is constructed, counts m number on clipboard 36, they are just formed First group, it is denoted as the first combination.9] building n-th combination, repeats 3] to 8] operation, second group is formed on clipboard 36 Number, if second group of number is with first group ripe, at least one is identical, they just form second group, are denoted as the second combination.If Second group of number is identical as first group, this is still the first combination, wipes from clipboard 36, repeats 3] to 8] behaviour Make, until obtaining one group and first group of not exactly the same group, i.e., second combines, then is iteratively repeated 3] to 8] operation, can be with The different array of N group is constructed, i.e. n-th combines.9] number of combinations is determined, after obtaining n-th combination, if continuing to repeat 3] it arrives 8] operation, the array obtained every time all with one in top n, i.e., generate without new array, especially work as N=n!/m!(n- m)!When be required number of combinations.
Four, demonstrate event occurrence frequency: demonstration from number 1,2 ..., arbitrary extracting k number word in N, can form how much A different k digit, wherein k≤n, k≤N, operating process when device is in initial position is: operation 1] -4] same to step 3 , 5] k ball is taken at random and carries out fully intermeshing for the first time, removable cover 42 is detached from by the third turntable 414 on Rotation Alignment case 4 Upper opening 417, from gate F1, F2 ..., k are chosen at random in Fn, push knob 416 that gate 44 is pushed into top.Open first Pin 38 rotates the first turntable 37 for the closing when in a horizontal state of rectangle baffle 32, test ball Q1, Q2 ..., have in QN k into Enter to arrange in case 4, if ball is once taken to be not achieved k, there is the gate 44 of ball to close, remaining return in mixing tank 2 is mixed It takes again afterwards, closes all gates 44 after having k in arrangement case 4, remaining N-k ball is taken out from mixing tank 2, to arrangement There is k ball to carry out fully intermeshing test in case 4, operate with the 7 of step 3] -12] it is, therein that how an array is exactly one k Random number;6] i-th takes k ball at random and carries out fully intermeshing, N number of ball is reentered into mixing tank 2, repetitive operation 1] -5], If the second k ball taken out is such as first time, to be tested again without fully intermeshing, it is subsequent test to it is preceding The different carry out fully intermeshing ... in face;Device is restored to initial position by 7] off-test.
The present invention takes the economic value and application prospect of the demonstration of ball-type number of combinations and event frequency chamber at random: with skill Art progress and economic development have increasing need for advanced equipment and improve teaching efficiency, are badly in need of a kind of easy to operate and easy to use Score calculates demonstrator, only basic education and training aspect, shared 2.5 ten thousand institute, high school in the whole nation and numerous amateurish training machines Structure, considerable amount, market prospects are boundless, have good economic well-being of workers and staff and social benefit.
Part that the present invention does not relate to is the same as those in the prior art or can be realized by using the prior art.
As described above, must not be explained although the present invention has been indicated and described referring to specific preferred embodiment For the limitation to invention itself.It without prejudice to the spirit and scope of the invention as defined in the appended claims, can be right Various changes can be made in the form and details for it.

Claims (3)

1. taking at random, ball-type number of combinations is demonstrated and event frequency chamber includes mount holder, fan-shaped outer cover, rectangle fence, positioning Device, mixer, ball picking device and test ball, it is characterised in that: position adjuster and ball picking device, the position adjuster include position adjuster bottom plate, Cylindrical seat, rubber pneumatic bag and spherical surface pallet, the position adjuster plate upper surface be equipped with cylindrical seat, the cylindrical seat it is upper Surface is equipped with spherical groove, is equipped in the spherical groove in permanent magnet, and the upper surface of institute's permanent magnet is equipped with spherical surface pallet, The bottom of the spherical surface pallet offers bronchus mouth, is equipped with bronchus, the bronchus lower end and master in the bronchus mouth Tracheae is connected, and the both sides of the bronchus mouth is equipped with electrode, and the other end of the main tracheae is equipped with rubber pneumatic bag, the rubber gas The other end of capsule is equipped with air inlet pipe, and ball picking device includes third groove slideway, third sliding block, the first round tube, the second round tube, third circle Pipe, the first spherical surface cover and rubber suction cups, are equipped with the second circle ring disk in the opening of the first spherical surface cover, on second circle ring disk Equipped with rubber suction cups, the upper top of the rubber suction cups is equipped with third round tube, and third round tube lower end outer surface is arranged with third Circle ring disk, third circle ring disk upper surface are equipped with second spring, and the second spring other end is connect with the first round tube, described The upper end that first round tube upper surface is equipped with the second round tube described in the second round tube is equipped with the second disk, and second lower disk surface is set There is third spring, the third spring other end is connect with third round tube, and two sides are equipped with third rectangle below the third spring The top in hole, the third round tube is equipped with vertical hard straight-bar, and the both ends of the hard straight-bar are stretched out from third rectangular opening respectively, The both ends of the hard straight-bar are respectively equipped with cylindrical handle, are equipped with third groove slideway, the position adjuster in the middle part of second round tube It is placed on mount holder, the sector outer cover and rectangle fence are respectively placed in mount holder top, and the mixer is placed in sector In outer cover and rectangle fence, the test ball 7 is placed on mixer, and the ball picking device is placed on rectangle fence.
2. according to claim 1 take the demonstration of ball-type number of combinations and event frequency chamber at random, it is characterised in that: described The inner end of air inlet pipe is equipped with elastic valve.
3. according to claim 1 take the demonstration of ball-type number of combinations and event frequency chamber at random, it is characterised in that: described Airtight core is equipped between rubber pneumatic bag and main tracheae.
CN201910099105.XA 2019-01-31 2019-01-31 The demonstration of ball-type number of combinations and event frequency chamber are taken at random Withdrawn CN109686194A (en)

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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN112242082A (en) * 2020-11-09 2021-01-19 桂林旅游学院 Probability demonstration device for applied mathematical teaching
CN115273617A (en) * 2022-08-27 2022-11-01 重庆航天职业技术学院 Probability statistics device

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN112242082A (en) * 2020-11-09 2021-01-19 桂林旅游学院 Probability demonstration device for applied mathematical teaching
CN115273617A (en) * 2022-08-27 2022-11-01 重庆航天职业技术学院 Probability statistics device
CN115273617B (en) * 2022-08-27 2023-09-29 重庆航天职业技术学院 Probability statistics device

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Application publication date: 20190426