CN106781884A - Students ' Learning demonstration device for probability - Google Patents

Students ' Learning demonstration device for probability Download PDF

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Publication number
CN106781884A
CN106781884A CN201710064613.5A CN201710064613A CN106781884A CN 106781884 A CN106781884 A CN 106781884A CN 201710064613 A CN201710064613 A CN 201710064613A CN 106781884 A CN106781884 A CN 106781884A
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rotating disk
montant
vertical pivot
drive
fixed
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CN201710064613.5A
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Chinese (zh)
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刘本祜
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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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  • Physics & Mathematics (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Mathematical Physics (AREA)
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  • Engineering & Computer Science (AREA)
  • Algebra (AREA)
  • Business, Economics & Management (AREA)
  • Educational Administration (AREA)
  • Educational Technology (AREA)
  • Theoretical Computer Science (AREA)
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Abstract

Students ' Learning demonstration device for probability, for facilitating student for the understanding of probability.It includes base, rotating disk, rotary disc driving mechanism, vertical pivot, block, vertical pivot drive mechanism and reclaims release assembly, rotated in base top and rotating disk is installed, some through holes are provided with rotating disk, escape groove is provided between each through hole and the centre bore of rotating disk, the rotary disc driving mechanism of driving rotating disk intermittent rotary is provided with base;The recovery release assembly of absorption release coin or dice is provided with the right side of coaming plate;Vertical pivot is provided with below rotating disk, block is fixed with the top of vertical pivot, connecting rod is fixed with the top of block, the supporting plate contacted with rotating disk bottom is fixed with the top of connecting rod, supporting plate is located at the sealing realized when immediately below through hole to via bottoms, and the vertical pivot drive mechanism for driving vertical axis is provided with base;The camera or video recorder for shooting picture in coaming plate are provided with the inside of base.The device can realize the demonstration to Classical Probability Spaces, understanding of the enhancing student to probability.

Description

Students ' Learning demonstration device for probability
Technical field
The present invention relates to Students ' Learning apparatus technical field, specifically a kind of Students ' Learning demonstration device for probability.
Background technology
In junior school student, the learning process of high school student, the understanding to probability is all the time that comparing is abstract.It is especially right In the computational methods of probability, the grasp of probability conception makes many students worried.For Classical Probability Spaces, the number of event is limited And each event occur probability it is equal.Such as throwing coin or throwing dice n times, coin positive and negative under the same conditions Probability upward is equal, and six probability for facing up of dice are also equal.
The content of the invention
It is an object of the invention to provide a kind of Students ' Learning demonstration device for probability, for facilitating student for probability Understand.
The technical scheme adopted by the invention to solve the technical problem is that:Students ' Learning demonstration device for probability, its feature It is that it is released including base, rotating disk, rotary disc driving mechanism, vertical pivot, block, vertical pivot drive mechanism, coaming plate, propulsive mechanism and recovery Assembly is put, the rotating disk of annular is rotatablely equipped with the top of the base, be provided with some in same circumference on the rotating disk Upper equally distributed through hole, escape groove is provided between each through hole and the centre bore of rotating disk, and driving rotating disk is provided with base The rotary disc driving mechanism of intermittent rotary;
The coaming plate in being fixed on base intracavity is provided with below rotating disk, blower fan is fixed with the right side of coaming plate, in blower fan Lower section be provided with the tuyere being placed in coaming plate, tuyere is connected with blower fan, is provided with by fixing pipe, connecting tube and work in the upper end of blower fan Dynamic pipe is sequentially connected with the delivery pipe of composition, and fixing pipe and adjustable pipe are vertically placed, and the connecting tube is telescopic flexible pipe, Support is provided with the left of coaming plate, montant is slidably fitted with support, driving montant is provided with support and is relatively fixed pipe shifting Dynamic montant drive mechanism;The blower fan, tuyere and delivery pipe constitute recovery release assembly;
Briquetting is installed in the basal sliding of adjustable pipe, pressing plate is provided with the bottom of briquetting, it is outer with adjustable pipe in briquetting Holddown spring is provided between wall, pressing plate is contacted with rotating disk in the presence of holddown spring;
The vertical pivot being rotatably installed on base is provided with below the rotating disk, round platform is fixed with the top of the vertical pivot The block of shape, is fixed with connecting rod at the top of block, and the supporting plate contacted with rotating disk bottom is fixed with the top of connecting rod, support Plate is located at the sealing realized when immediately below through hole to via bottoms, and the vertical pivot driving machine for driving vertical axis is provided with base Structure;
Propulsive mechanism is provided with the inside of the coaming plate, the propulsive mechanism includes electromagnet, slide bar and ejector spring, institute State electromagnet to be fixed on the inwall of coaming plate, the electromagnet is respectively provided on two sides with ejector spring, it is fixed in ejector spring There is the slide bar with electromagnet mating reaction, the slide bar is slidably connected with base;
The camera or video recorder for shooting picture in coaming plate are provided with the inside of base.
Further, the rotary disc driving mechanism includes that rotary tray motor, rotating disk drive gear, rotating disk drive worm screw, rotating disk Worm gear and rotating ring are driven, rotating ring is fixed with rotating disk bottom, the rotating disk sliding tooth for installing coaxial setting is rotated on base Wheel and rotating disk drive worm gear, rotating disk drive gear to be engaged with rotating ring, and rotating disk drives worm gear to drive worm engaging, rotating disk with rotating disk Drive worm screw to be driven by rotary tray motor to rotate.
Further, the montant drive mechanism includes that montant motor, montant drive worm screw, montant to drive worm gear, montant Drive gear and tooth bar, montant are fixed on the sliding block being connected with bracket slide, in slider bottom stationary rack, tooth bar and montant Drive gear is engaged, and montant drive gear setting coaxial with montant driving worm gear, montant drives worm gear to drive worm screw to nibble with montant Close, montant drives worm screw by montant motor-driven rotation.
Further, the vertical pivot drive mechanism includes that vertical pivot motor, drive bevel gear, driven wheel of differential, vertical pivot drive Worm screw and vertical pivot drive worm gear, driven wheel of differential to be fixed on vertical pivot and engaged with drive bevel gear, drive bevel gear and vertical pivot The coaxial setting of worm gear is driven, vertical pivot drives worm gear to drive worm engaging with vertical pivot, and vertical pivot driving worm screw is driven by vertical pivot motor and turned It is dynamic.
Further, ball is provided with the bottom of the pressing plate, the ball is contacted with rotating disk and ball can be on rotating disk Rotate.
Further, the tuyere is big end down pyramidal structure.
Further, a pair pipe clamps setting up and down are fixed with the montant, adjustable pipe is placed on pipe clamp, and under Holddown spring is set between the pipe clamp and briquetting of side.
Further, the support is the cuboid structure that left and right both ends of the surface are connected, and is provided with the top of support and kept away Allow the elongated slot of montant.
The beneficial effects of the invention are as follows:The Students ' Learning demonstration device for probability that the present invention is provided, it is right voluntarily to realize The throwing of coin or dice, and experimental enviroment all same when each throwing coin or dice;By shining after throwing coin or dice Camera or video recorder record information upward, to facilitate statistics.The present invention can be realized to the multiple of coin or dice as needed Throwing, to obtain the probable value of different tests number of times, to strengthen the understanding to classical probability.
Brief description of the drawings
Fig. 1 is schematic diagram of the invention;
Fig. 2 is the schematic top plan view of base;
Fig. 3 is the scheme of installation of rotating disk;
Fig. 4 is the schematic diagram for reclaiming release assembly;
Fig. 5 is the schematic diagram of propulsive mechanism;
Fig. 6 is the schematic top plan view of support;
Fig. 7 is the side schematic view of support;
Fig. 8 is the schematic diagram of delivery pipe;
Fig. 9 is the schematic cross-sectional view of pressing plate;
In figure:1 base, 11 bearings, 12 otic placodes, 2 rotating disks, 21 through holes, 22 escape groove, 23 rotating rings, 24 rotating disk sliding tooths Wheel, 25 rotating disks drive worm gear, 26 rotating disks to drive worm screw, 27 rotary tray motors, 3 vertical pivots, 31 blocks, 32 connecting rods, 33 supporting plates, 34 axles Frame, 35 driven wheels of differential, 36 drive bevel gears, 37 vertical pivots driving worm gear, 38 vertical pivots driving worm screw, 39 vertical pivot motors, 4 coaming plates, 41 electromagnet, 42 slide bars, 43 ejector springs, 5 reclaim release assembly, 51 blower fans, 511 fan installation plates, 52 tuyeres, 53 fixations Pipe, 54 connecting tubes, 55 adjustable pipes, 56 briquettings, 57 pressing plates, 571 balls, 6 supports, 61 elongated slots, 62 montants, 621 pipe clamps, 622 pressures Tight spring, 63 sliding blocks, 64 tooth bars, 65 montant drive gears, 66 montants driving worm gear, 67 montants driving worm screw, 68 montant motors, 69 bolts.
Specific embodiment
As shown in Figures 1 to 9, the invention mainly comprises base 1, rotating disk 2, rotary disc driving mechanism, vertical pivot, block 31, perpendicular Axle drive mechanism, coaming plate 4, propulsive mechanism and recovery release assembly 5, the present invention will be described in detail below in conjunction with the accompanying drawings.
As shown in figure 1, base 1 is matrix of the invention, as shown in figure 3, base is hollow for the cylindrical of open top Structure, the rotating disk 2 of annular is rotatablely equipped with the inner side of base by bearing 11, as shown in Fig. 2 being provided with rotating disk some The through hole 21 being circumferentially uniformly arranged, is additionally provided with some escape groove 22 being circumferentially evenly arranged, the number of escape groove on rotating disk Mesh is identical with the number of through hole and escape groove is corresponded with through hole, and the centre bore of through hole and rotating disk is connected to one by escape groove Rise.
It is the rotation of driving rotating disk, rotating ring 23 is provided with the bottom of rotating disk, as shown in figure 3, be provided with the inside of base turns Coil motor 27, is provided with rotating disk and drives worm screw 26 in the output end of rotary tray motor, and rotating disk drives worm screw to drive worm gear 25 to nibble with rotating disk Close, rotating disk drives worm gear and the coaxial setting of rotating disk drive gear 24, rotating disk drives the worm-wheel shaft of worm gear to be arranged on bottom by bearing On seat, rotating disk drive gear is engaged with rotating ring, is provided with the inside of rotating ring bottom is engaged with rotating disk drive gear accordingly Tooth.Between rotary tray motor, rotating disk drive worm screw, rotating disk to drive worm gear, rotating disk drive gear and rotating ring to constitute driving rotating disk Have a rest the rotary disc driving mechanism of rotation.
Pedestal 34 is fixed with the inside of base, vertical pivot 3 is rotatablely equipped with pedestal, circle is fixed with the top of vertical pivot The block 31 of platform shape, the small end of block upward, is fixed with connecting rod 32 at the top of block, and connecting rod includes that what is be sequentially connected with erects To bar, transverse bar and vertical bar, the supporting plate 33 of circle is fixed with the top of connecting rod, supporting plate is contacted with the bottom surface of rotating disk. Be further fixed on driven wheel of differential 35 on vertical pivot, driven wheel of differential 35 engages cooperation with drive bevel gear 36, drive bevel gear with it is perpendicular Axle drives the coaxial setting of worm gear 37, and vertical pivot drives the worm-wheel shaft of worm gear to be rotatably installed on otic placode 12, and vertical pivot drives worm gear and erects Axle drives worm screw 38 to engage, and vertical pivot drives worm screw to be fixed on the output end of vertical pivot motor 39.Vertical pivot motor, vertical pivot drive worm screw, Vertical pivot drives worm gear, drive bevel gear and driven wheel of differential to constitute vertical pivot drive mechanism, is realized to via bottoms by supporting plate Closing, by vertical pivot drive mechanism drive supporting plate rotation.
As shown in figure 4, the coaming plate 4 of cylindrical shape is provided with the inner chamber of base, after placing coin or dice in through-holes, Supporting plate has the effect lifted to coin or dice.When supporting plate is rotated, coin or dice gradually expose from through hole up to Coin or dice drop, and after coin or dice fall on the circular conical surface of block, coin or dice can be along the circles of block The conical surface is rolled or glided, until coin or dice fall on the inside of coaming plate.Just can now record coin or dice one side upward Information, video camera or camera can be set on base, to facilitate the information record of coin or dice one side upward.
Blower fan 51 is provided with above the right side of coaming plate, blower fan is arranged on the top of coaming plate by fan installation plate 511, The tuyere 52 connected with blower fan is provided with below fan installation plate, tuyere is big end down pyramidal structure, in the top of blower fan Delivery pipe is provided with, delivery pipe includes fixing pipe 53, connecting tube 54 and adjustable pipe 55, and fixing pipe is fixed on blower fan, such as Fig. 8 institutes Show, fixing pipe is vertically placed, the adjustable pipe 55 of vertical placement, upper end and the fixing pipe of adjustable pipe are provided with the left of fixing pipe Linked together by connecting tube 54 between upper end, connecting tube is telescopic flexible pipe, is movably installed with the lower end of adjustable pipe Briquetting 56, briquetting can relative motion pipe move up and down, be fixed with pressing plate 57 in the bottom of briquetting, pressing plate connects with the upper surface of rotating disk Touch.To drive adjustable pipe to be relatively fixed the movement of pipe, the top on the left of coaming plate is fixed with support 6, as shown in Figure 6, Figure 7, branch Frame is the interconnected cuboid structure of left and right end face, the elongated slot 61 for avoiding montant is provided with the top of support, such as Fig. 5 institutes Show, sliding block 63 is installed in the top slide of support, montant 62 is fixed with the top of sliding block, montant can be moved in escape groove Dynamic, as shown in figure 4, being fixed with a pair pipe clamps 621 setting up and down on montant, two paired pipe clamps are clamped to adjustable pipe It is fixed, holddown spring 622 is provided between the pipe clamp and briquetting of lower section, pressing plate is contacted with rotating disk in the presence of holddown spring. Tooth bar 64 is provided with below sliding block, is connected by bolt 69 between tooth bar and sliding block, montant motor 68 is provided with the inside of support, The output end of montant motor drives worm screw to be connected with montant, and montant drives worm screw to drive worm gear to engage with montant, and montant drives snail The worm-wheel shaft of wheel is rotatably installed on paired otic placode, and montant drives worm gear setting coaxial with montant drive gear, and montant drives Wheel and rack is engaged.It is perpendicular that montant motor, montant drive worm screw, montant to drive worm gear, montant drive gear and tooth bar to constitute Bar drive mechanism.
Blower fan 51, tuyere 52, fixing pipe 53, connecting tube 54 and adjustable pipe 55 constitute recovery release assembly 5, blower fan work When by tuyere adsorb coin or dice, be then moved in briquetting through fixing pipe, connecting tube and adjustable pipe, eventually pass through pressing plate After fall.To ensure that tuyere can smoothly adsorb coin or dice in the presence of blower fan, and electricity is provided with the inwall of coaming plate Magnet 41, is provided with slide bar 42 on the right side of electromagnet, and a pair of ejector springs 43, two tops are provided between slide bar and the inwall of coaming plate Go out the both sides that spring is placed in electromagnet, ejector spring is compressed and slide bar is held by electromagnet, electromagnet when electromagnet is powered Slide bar is pushed out in the presence of ejector spring after power-off.Slide bar is slidably connected with base, after slide bar encounters coin or dice Side where tuyere being pushed into, the absorption in order to tuyere to coin or dice.Electromagnet, slide bar and ejector spring structure Into propulsive mechanism.
For convenience of pressing plate relative to the movement of rotating disk, reduce the resistance between rotating disk and pressing plate, as shown in figure 9, in pressing plate Bottom is provided with ball 571.
The course of work to whole device is described below, ensures that supporting plate is located therein any one through hole before work Underface, then places coin or dice in the through hole.Drive the rotation of vertical pivot so that coin or dice fall from through hole Static on the inside of coaming plate afterwards, now camera or video recorder are taken pictures, to record the information of coin or dice one side upward;With This is while rotating disk rotates clockwise certain angle (angle value is 360 degree of numbers divided by through hole), supporting plate reset and supporting plate It is placed in the underface of next through hole.When coin or dice are near coaming plate left side, be pushed into for coin or dice and enclose by propulsive mechanism The right side of plate, then blower fan work coin or dice are picked up and are transported in briquetting by delivery pipe.Then montant drives Dynamic mechanism action promotes adjustable pipe to the left so that briquetting is placed in the surface of supporting plate, and now coin or dice turn again to through hole In.The setting of connecting tube, can meet demand when adjustable pipe is moved.Coin or dice fall in through-holes after or adjustable pipe to When moving left maximum displacement, montant drive mechanism counteragent so that adjustable pipe resets.This is a working cycles, if The data of the number of times of fixed experiment, you can realize the n times throwing to coin or dice, record coin or dice one side upward, just may be used Realize the statistical computation to probability.
Montant motor, vertical pivot motor and rotary tray motor are electrically connected with the controller respectively, and the dynamic of each motor is controlled by controller Make.

Claims (8)

1. Students ' Learning demonstration device for probability, it is characterized in that, it include base, rotating disk, rotary disc driving mechanism, vertical pivot, block, Vertical pivot drive mechanism, coaming plate, propulsive mechanism and recovery release assembly, are rotatablely equipped with turning for annular at the top of the base Disk, is provided with some through holes equally distributed on same circumference on the rotating disk, each through hole and rotating disk centre bore it Between be provided with escape groove, the rotary disc driving mechanism of driving rotating disk intermittent rotary is provided with base;
The coaming plate in being fixed on base intracavity is provided with below rotating disk, blower fan is fixed with the right side of coaming plate, under blower fan Side is provided with the tuyere being placed in coaming plate, and tuyere is connected with blower fan, is provided with by fixing pipe, connecting tube and adjustable pipe in the upper end of blower fan The delivery pipe of composition is sequentially connected with, and fixing pipe and adjustable pipe are vertically placed, the connecting tube is telescopic flexible pipe, is being enclosed Support is provided with the left of plate, montant is slidably fitted with support, be provided with support and drive montant to be relatively fixed pipe movement Montant drive mechanism;The blower fan, tuyere and delivery pipe constitute recovery release assembly;
Briquetting is installed in the basal sliding of adjustable pipe, pressing plate is provided with the bottom of briquetting, briquetting and adjustable pipe outer wall it Between be provided with holddown spring, pressing plate is contacted with rotating disk in the presence of holddown spring;
The vertical pivot being rotatably installed on base is provided with below the rotating disk, truncated cone-shaped is fixed with the top of the vertical pivot Block, is fixed with connecting rod at the top of block, and the supporting plate contacted with rotating disk bottom, supporting plate position are fixed with the top of connecting rod The sealing to via bottoms is realized when immediately below through hole, the vertical pivot drive mechanism for driving vertical axis is provided with base;
Propulsive mechanism is provided with the inside of the coaming plate, the propulsive mechanism includes electromagnet, slide bar and ejector spring, the electricity Magnet is fixed on the inwall of coaming plate, and the electromagnet is respectively provided on two sides with ejector spring, be fixed with ejector spring with The slide bar of electromagnet mating reaction, the slide bar is slidably connected with base;
The camera or video recorder for shooting picture in coaming plate are provided with the inside of base.
2. Students ' Learning demonstration device for probability according to claim 1, it is characterized in that, the rotary disc driving mechanism includes Rotary tray motor, rotating disk drive gear, rotating disk drive worm screw, rotating disk to drive worm gear and rotating ring, and rotation is fixed with rotating disk bottom Ring, rotates rotating disk drive gear and rotating disk the driving worm gear for installing coaxial setting, rotating disk drive gear and rotating ring on base Engagement, rotating disk drives worm gear to drive worm engaging with rotating disk, and rotating disk drives worm screw to be driven by rotary tray motor and rotates.
3. Students ' Learning demonstration device for probability according to claim 1, it is characterized in that, the montant drive mechanism includes Montant motor, montant drive worm screw, montant to drive worm gear, montant drive gear and tooth bar, montant to be fixed on and connect with bracket slide On the sliding block for connecing, in slider bottom stationary rack, tooth bar is engaged with montant drive gear, and montant drive gear drives snail with montant Coaxial setting is taken turns, montant drives worm gear to drive worm engaging with montant, and montant drives worm screw by montant motor-driven rotation.
4. Students ' Learning demonstration device for probability according to claim 1, it is characterized in that, the vertical pivot drive mechanism includes Vertical pivot motor, drive bevel gear, driven wheel of differential, vertical pivot drive worm screw and vertical pivot to drive worm gear, and driven wheel of differential is fixed on perpendicular Engaged on axle and with drive bevel gear, drive bevel gear setting coaxial with vertical pivot driving worm gear, vertical pivot drives worm gear to be driven with vertical pivot Dynamic worm engaging, vertical pivot drives worm screw by vertical pivot motor-driven rotation.
5. Students ' Learning demonstration device for probability according to claim 1, it is characterized in that, it is provided with the bottom of the pressing plate Ball, the ball is contacted with rotating disk and ball can be rotated on rotating disk.
6. Students ' Learning demonstration device for probability according to claim 1, it is characterized in that, the tuyere is big end down Pyramidal structure.
7. Students ' Learning demonstration device for probability according to claim 1, it is characterized in that, it is fixed with one on the montant To pipe clamp setting up and down, adjustable pipe is placed on pipe clamp, and sets holddown spring between the pipe clamp and briquetting of lower section.
8. Students ' Learning demonstration device for probability according to claim 1, it is characterized in that, the support is left and right both ends of the surface The cuboid structure being connected, is provided with the elongated slot for avoiding montant at the top of support.
CN201710064613.5A 2017-02-04 2017-02-04 Students ' Learning demonstration device for probability Withdrawn CN106781884A (en)

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Cited By (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN107146502A (en) * 2017-07-17 2017-09-08 山东交通学院 Mathematical probabilities apparatus for demonstrating
CN108766130A (en) * 2018-05-18 2018-11-06 南阳理工学院 A kind of applied mathematics probabilistic method and device
CN109036001A (en) * 2018-09-06 2018-12-18 安徽理工大学 A kind of probabilistic models teaching optimization method
CN109215452A (en) * 2018-11-06 2019-01-15 嘉兴学院 A kind of simulating demonstration teaching aid for mathematics
CN109272827A (en) * 2018-11-09 2019-01-25 山东劳动职业技术学院(山东劳动技师学院) Probability learning secondary presentation device
CN109599673A (en) * 2018-11-14 2019-04-09 合肥泾渭信息通讯有限公司 One kind being based on communication information antenna
CN110033675A (en) * 2019-03-04 2019-07-19 韩登利 A kind of higher mathematics Probability Teaching apparatus for demonstrating
CN111261003A (en) * 2020-02-26 2020-06-09 菏泽学院 Probability demonstration device for mathematical teaching
CN112562428A (en) * 2020-12-30 2021-03-26 广西电力职业技术学院 Mathematics subject probability course teaching is with experimental auxiliary device at random

Cited By (13)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN107146502B (en) * 2017-07-17 2019-03-08 山东交通学院 Mathematical probabilities apparatus for demonstrating
CN107146502A (en) * 2017-07-17 2017-09-08 山东交通学院 Mathematical probabilities apparatus for demonstrating
CN108766130B (en) * 2018-05-18 2023-09-08 南阳理工学院 Statistical method and device for applying mathematical probability
CN108766130A (en) * 2018-05-18 2018-11-06 南阳理工学院 A kind of applied mathematics probabilistic method and device
CN109036001A (en) * 2018-09-06 2018-12-18 安徽理工大学 A kind of probabilistic models teaching optimization method
CN109215452A (en) * 2018-11-06 2019-01-15 嘉兴学院 A kind of simulating demonstration teaching aid for mathematics
CN109272827A (en) * 2018-11-09 2019-01-25 山东劳动职业技术学院(山东劳动技师学院) Probability learning secondary presentation device
CN109599673A (en) * 2018-11-14 2019-04-09 合肥泾渭信息通讯有限公司 One kind being based on communication information antenna
CN109599673B (en) * 2018-11-14 2021-03-26 吉林吉大通信设计院股份有限公司 Antenna based on communication information
CN110033675A (en) * 2019-03-04 2019-07-19 韩登利 A kind of higher mathematics Probability Teaching apparatus for demonstrating
CN111261003A (en) * 2020-02-26 2020-06-09 菏泽学院 Probability demonstration device for mathematical teaching
CN112562428A (en) * 2020-12-30 2021-03-26 广西电力职业技术学院 Mathematics subject probability course teaching is with experimental auxiliary device at random
CN112562428B (en) * 2020-12-30 2022-05-27 广西电力职业技术学院 Mathematics subject probability course teaching is with experimental auxiliary device at random

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