CN101546450A - Classroom drawing-lots disk - Google Patents

Classroom drawing-lots disk Download PDF

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Publication number
CN101546450A
CN101546450A CN200810045083A CN200810045083A CN101546450A CN 101546450 A CN101546450 A CN 101546450A CN 200810045083 A CN200810045083 A CN 200810045083A CN 200810045083 A CN200810045083 A CN 200810045083A CN 101546450 A CN101546450 A CN 101546450A
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China
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entity
disk
master
lots
circle
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CN200810045083A
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CN101546450B (en
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王�华
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Abstract

The invention provides a classroom drawing-lots disk, which is a mechanical device with drawing-lots function. A main rotary rod and a secondary rotary rod which are close to a main disk and a secondary disk respectively rotate; when the two rotary rods stop, number code zones on an effectively drawing-lots ring, where aiming lines of the main rotary rod and the secondary rotary rod are placed, represent a second number and a first number respectively, or a group serial number and a member serial number; the nine drawing-lots rings of the main disk are equally divided into 10, 9, 8, 7, 6, 5, 4, 3 and 2 number code zones orderly from the outside to the inside, and in each number code zone, a character string of 'N:X' is labeled; and the patterns of the secondary disk are the same as those of the main disk. The disk has the advantages of small volume, no accessories and quick and easy operation, and can be applied to a fixed class with numbered students as well as a temporary training course with unnumbered students; moreover, the disk can also be used as an auxiliary teaching tool for random theory teaching.

Description

Classroom drawing-lots disk
Technical field
The present invention is a kind of mechanical hook-up that is used to finish the lot function.
Background technology
Take out in the classroom and to ask, in the activity such as operation selective examination, often need to use a kind of device that can finish the lot function fast.Present lot instrument mainly contains dice, ordinary turntable, touches ball.
Summary of the invention
Aforementioned these lot instruments, or be trouble and consuming time, or be to be not suitable for the classroom, or be the many classes of the number of being not suitable for, or be that volume is big, inconvenience are arranged and are influenced attractive in appearancely again, or are that annex is many and easily lose.
Technical scheme of the present invention
Principle of the present invention: rotating disk stacked with two front and back, that respectively be furnished with 9 kinds of circumference scales comes corresponding unit numbers and tens word, each rotating disk is respectively joined a windward side has weight than big and termination swing arm, so that it had both had enough big inertia, can stop fast again, volume also greatly reduces simultaneously.Earlier choose effective lot circle according to the number on the classroom; Two swing arms are rotated, and the number district when two swing arms stop on residing effective lot circle represents unit numbers and tens word respectively, also little group # and member's numbering.
The preparation explanation:
A) entity: (comprising the entity in the group of entities) is 3D solid, and all (Fig. 1 (d) is the XYZ coordinate axle synoptic diagram of this coordinate system, and the XY coordinate plane is surface level at same XYZ three-dimensional system of coordinate; Shared this coordinate system of Fig. 1-Fig. 3 approves all when reading these figure that this synoptic diagram is implied among every width of cloth figure) in.The Z coordinate axis is that (Z coordinate axis forward is corresponding high or go up, negative sense is corresponding low or down, for example, establishing AB is rib that is parallel to the Z axle on the rectangular parallelepiped, then the height of rectangular parallelepiped=AB) for the reference coordinates axle of entity height.
B) group of entities: comprise an entity set of a plurality of entities, group of entities can only be as a mass motion, and during motion in the group of entities relative position between each entity remain unchanged.
C) forward of X coordinate axis is that the right side, negative sense are a left side; The forward of Y coordinate axis is before back, negative sense are.Correspondingly, " moving to right " is equivalent to " forward along the X coordinate axis moves "; " move to left ", the rest may be inferred for the implication of " afterwards moving ", " reach ".
D) comprise a plurality of subgraphs among every width of cloth figure, subgraph is numbered (a) and (b), (c) ... ..; Scaling is unified in each subgraph; The scaling of different subgraphs can be different.
E) part of this invention or parts all are by a plurality of primary entities that are in specific relative position, form through set operation; For example, equation Ent 209=Ent 208-Ent 204∪ Ent 205Expression: the entity 208,204,205 that is in specific relative position is through set operation (Ent 208-Ent 204∪ Ent 205) and form entity 209.Among the entity forming process figure, a sturdy arrow is represented a step; Each procedure chart all is the relative position of determining earlier between associated entity, then these entities is done set operation (priority of acquiescence union operational symbol ∪ greater than difference set operational symbol-) and is formed corresponding part or parts.
F) among the figure center of circle line of the rib of rectangular parallelepiped, cylinder or annulus (being straight line, is the set in all centers of circle; The set in the pairing center of circle of circular arc also is considered as center of circle line), rib, straight three (four) prismatic incline, the bucking ladders of the center of circle line of circular cone, semicolumn (plane that cylinder is passed its center of circle line is divided into two semicolumns) (are that xsect is trapezoidal straight quadrangular, be called the bucking ladder bottom surface corresponding to the face of going to the bottom on trapezoidal, other face is called the side.If this xsect is isosceles trapezoid, then be called the isosceles trapezoid platform) the limit of last bottom surface, if no special instructions, can only be parallel to the axle (being included in the process of formation entity) in the XYZ three-dimensional system of coordinate.
G) end face of entity (group of entities): the face F of establishing is a plane on the entity, in the entity not the point on face F all be in face F one side (i.e. the opposite side that is in arbitrarily face F not at all of this entity), this claims that face F is an end face of this entity.According to the position of end face with respect to the entity center of gravity, end face can be divided into up, down, left, right, before and after end face (definition of up, down, left, right, before and after see before literary composition).The rest may be inferred, can obtain the definition of group of entities end face.
H) rib or the line on the entity (comprising the copy, example, mirror image of entity and the entity after the upset) derives from d in this way) described rib or line, under the situation of no specified otherwise, also regard an axle that is parallel in the XYZ three-dimensional system of coordinate as.Correspondingly, be parallel to a coordinate plane in the three-dimensional system of coordinate by such entity face that rib constituted.The copy of entity, example if no special instructions, through translation or convergent-divergent or behind coordinate axis upset N * 90 ° (N is a positive integer), all can overlap with entity fully.
I) example of entity or group of entities: the relation of entity or group of entities and example, be equivalent to the relation of class and example in the computer software, the size of different instances can be different with parameter value, but its character shape conforms to entity.
J) copy of entity or group of entities: with this entity or identical entity of group of entities or group of entities.
K) mirror image of entity or group of entities: it can overlap fully with entity or group of entities after " in the face of claiming " conversion.If no special instructions, the mirror image of entity or group of entities is symmetrical in entity or group of entities, and its symmetrical plane is a plane that is parallel to coordinate plane.
L) make a that is numbered of element in the accompanying drawing 3a 2a 1a 0, a then 3a 2For the figure number at this element place (as a 3a 2The figure number that ≠ this element occurs, then this element is one and quotes; The a that is numbered as if element 2a 1a 0=0, then the figure number at this element place is a 2).In the set operation formula of entity, Ent AbcdRepresentative be numbered the entity of abcd or group of entities (to group of entities, Ent AbcdRepresent the union of all entities in the group of entities).As certain entity title is XX, is numbered abcd, and on address, entity abcd is equivalent to XXabcd so, as shrouding on-slip sheet 1556 and entity 1556 equivalences.
M) the single capitalization of subscripting: subscript is represented the numbering of entity (group of entities), and capitalization is represented summit (or angle point promptly comprises the intersection point of many intersections of concaver re-entrant angle), as M Abc, the summit M of presentation-entity (group of entities) abc.
N) two of subscripting capitalizations: subscript is represented the numbering of entity (group of entities), and two capitalizations are represented rib, as AB Abcd, the rib AB of presentation-entity abcd.As AB AbcdNot rib, then an AB AbcdRepresentative point A AbcdTo a B AbcdLine.In mathematic(al) representation, represent AB AbcdThe length of the rib AB of entity abcd then.
O) three of subscripting capitalizations: subscript is represented the numbering of entity, and three capitalizations are represented the plane, as ABC Abcd, the plane ABC of presentation-entity abcd, three some A, B, the C on the entity abcd passed on this plane.
P) Radius Abcd: the radius of presentation-entity abcd.Face Abcd-n: the face that is numbered abcd-n on the presentation-entity abcd.Axis Abcd: the center of circle line of presentation-entity abcd (straight line that all centers of circle of cylinder, annulus, circular cone, circular arc constitute is considered as center of circle line).Height Abcd: the height of presentation-entity abcd.
Q) line segment AB is centered in line segment CD: expression line segment AB and line segment CD conllinear, AB<CD, AB are centered between some C, the some D of CD.
R) line segment AB is centered in the positive X coordinate axis orientation of line segment CD: after line segment AB was moved a certain distance along negative X change in coordinate axis direction, line segment AB can be centered on the line segment CD.To other coordinate axis orientation, can the rest may be inferred.
S) entity A is centered in the positive X coordinate axis orientation of entity B: entity A, entity B are non-intersect; After the negative X change in coordinate axis direction mobile entity A in edge moved a certain distance, the center of gravity of entity A can overlap with the center of gravity of entity B.To other coordinate axis orientation, can the rest may be inferred.
T) line segment AB is on line segment CD: expression line segment AB and line segment CD conllinear, and AB<CD, AB is between some C, the some D of CD.
U) face ABC is centered in face DEF: the area of area<DEF of expression ABC, and face ABC is included in (face ABC and face DEF coplane) among the face DEF; Face ABC is placed in the middle on face DEF, and promptly the center of gravity of the center of gravity of face ABC, face DEF overlaps.
V) line segment AB overlaps fully with line segment CD: AB and CD are with long, and the terminal A of AB, B overlap respectively with end points C, the D of CD.
W) Length X, abcd: entity abcd (abcd is the numbering of entity) is along the length of X coordinate axis.If EF is the rib of rectangular parallelepiped abcd, EF is parallel to the X coordinate axis, and then rectangular parallelepiped abcd is along the length L ength of X coordinate axis X, abcd=EF.In like manner, Length Y, abcdThen be the length of entity abcd along the Y coordinate axis; Width X, abcdThen be the width of entity abcd along the X coordinate axis; Width Y, abcdThen be the width of entity abcd along the Y coordinate axis.
X) entity A, entity B are along same wide (wide or with long) of Y coordinate axis: entity A, entity B are along the width of Y coordinate axis identical (or length is identical).Hereinafter described " moving entity along the X coordinate axis " is equivalent to " along straight line (this straight line parallel is in the X coordinate axis) mobile entity "; The statement that other is identical therewith, its implication can the rest may be inferred.
Y) be affixed on the face CDE of entity B in the entity A: entity A is contained in entity B, and a loaf of bread of entity A is contained in the face CDE of entity B.
Z) entity A is affixed on the face CDE of entity B outward: (establish this face is Face to a face of entity A Abc-1) be contained in the face CDE of entity B and Face Abc-1Common factor for entity A and entity B.
This classroom drawing-lots disk is made of master, inferior dish, main swing arm, inferior swing arm, arc-shaped pins; Pattern on master and the disk cooperates with main swing arm, inferior swing arm can finish the lot function.
1 master:
1.1 among entity 105: Fig. 1 (a), entity 102 is copies of rectangular parallelepiped 101, the radius of right cylinder 103 is greater than the radius of right cylinder 104, and Height 101=2*Radius 104, C 104Be AB 104Mid point, C 102Be AB 102Mid point, A 104It is the center of circle of right cylinder 104 right sides.Schilling mobile entity 101,102,104 is up to C 101, C 102, A 104Overlap, again entity 101 is moved Radius along Z axle forward 104-1 (mm) moves Radius to entity 102 along Z axle negative sense 104-1 (mm) moves Width to entity 101,102 along the X-axis negative sense again X, 102/ 2; Then make the center of circle of right cylinder 103 right sides overlap, then form entity 105:Ent through following formula with the center of circle of right cylinder 104 right sides 105=Ent 101∪ Ent 102∪ Ent 103∪ Ent 104.
1.2 among entity 115: Fig. 1 (b), AB is a line segment that is parallel to the Y coordinate axis on right cylinder 111 (in the form of sheets) right side, C 111Being the center of circle of right cylinder 111 right sides, is again the mid point of AB.Modern usefulness is parallel to the ZX coordinate surface, two bundle of planes right cylinder 111 cuttings of two end points of process AB are three parts respectively, and middle part is entity 112.The radius of right cylinder 113 is greater than the radius of right cylinder 114, and the radius of right cylinder 113 is greater than the radius of right cylinder 103.Make the center of circle, right side of right cylinder 113, the center of circle of right cylinder 114 left sides, the center of circle (being the pairing center of circle of circular arc line on entity 112 left sides) of entity 112 left sides overlap, then obtain entity 115:Ent by following formula 115=Ent 112∪ Ent 113∪ Ent 114
1.3 among group of entities 121: Fig. 1 (c), Width X, 105=Width X, 115In the group of entities 121, the center of circle of entity 105 right sides overlaps with the center of circle of entity 115 right sides.
1.4 master 204: among Fig. 2, annulus 203 is copies of annulus 202, right cylinder 201 slabbings, Width X, 202=Width X, 201A 201Be the center of circle of right cylinder 201 right sides, A 202Be the center of circle of right cylinder 202 right sides, A 203It is the center of circle of right cylinder 203 right sides.Make the center of circle of group of entities 121 right sides overlap with the center of circle of right cylinder 201 right sides; Make annulus 202,203 and right cylinder 201 intersect again, but the circular hole of annulus 202,203 is positioned at outside the right cylinder 201, and A 202, A 203, A 201Conllinear, A 202, A 203About A 201Symmetry then obtains master 204:Ent by following formula 204=Ent 201∪ Ent 202∪ Ent 203∪ Ent 115-Ent 105Annulus 202,203 formed holes are called the pilot hole of classroom drawing-lots disk, can be fixing on the wall or on the desktop classroom drawing-lots disk by means of screw and pilot hole.Master 204 is promptly obtained entity 205 around Y coordinate axis Rotate 180 degree, and the through hole 205-1 of entity 205 upper edge Z coordinate axis trend is called pin-and-hole, the boss 205-2 on the entity 205 be called only revolve protruding.On the master 205, the radius of big pipe 205-3 is greater than roundlet pipe 205-4.
2 dishes: among Fig. 4 (a), entity 403 is copies of entity 112, and the radius of right cylinder 401 is greater than the radius of right cylinder 402.Make the center of circle of right cylinder 401, right cylinder 402, entity 403 three right sides overlap, then obtain time dish 404:Ent by following formula 401=Ent 401-Ent 402∪ Ent 403Little scarce 404-1 on the inferior dish 404 be called only revolve recessed.
Among 3 swing arms: Fig. 3 (a), entity 301,302 all is rectangular parallelepipeds, 2 * Width X, 301=Width X, 302In the group of entities 303, AB 301Be centered in AB 302On, group of entities 303 forms entity 304:Ent through following formula 304=Ent 302-Ent 301
3.1 among entity 304: Fig. 3 (a), entity 303 is rectangular parallelepipeds, C 303Be AB 303Mid point; The radius of right cylinder 301 is greater than the radius of right cylinder 302, A 301Be the center of circle of right cylinder 301 upper surfaces, A 302It is the center of circle of right cylinder 302 upper surfaces; Width Y, 301=Width Y, 302=Width Y, 303Mobile right cylinder 301, right cylinder 302, rectangular parallelepiped 303 are up to A 301, A 302, C 303Overlap, then obtain entity 304:Ent by following formula 304=Ent 301∪ Ent 303-Ent 302
3.2 among swing arm: Fig. 3 (b), entity 314 is mirror images of entity 304, and entity 313 is the arrow-shaped thin slice; The radius of right cylinder 311 is less than the radius of right cylinder 312, A 311Be the center of circle of right cylinder 311 upper surfaces, A 312It is the center of circle of right cylinder 312 upper surfaces; Width Y, 311=Width Y, 312, Width Y, 311Width Y, 314If d=is (Width Y, 311-Width Y, 314)/2, shilling A 304, A 314, A 311, A 312Overlap, then right cylinder 311,312 is moved d simultaneously, entity 313 is fitted in the upper surface of entity 314, then forms swing arm 315:Ent through following formula 315=Ent 312∪ Ent 304∪ Ent 313∪ Ent 314-Ent 311In the swing arm 315, round tube hole 315-1 is called the accent repeated hole, rib 315-2 and rib 315-3 conllinear; Rib 315-3 is called and takes aim at line near arrow 315-4.
3.3 main swing arm: in aforementioned 3.1,3.2 processes, make Width Z, 303=100mm, the swing arm 315 of Xing Chenging is main swing arm 510 thus; Make Width Z, 303=55mm, the swing arm 315 of Xing Chenging is time swing arm 515 thus.
3.4 arc-shaped pins:
3.4.1 among entity 413: Fig. 4 (b), the radial section of annulus 411 is a rectangle, A 401It is the center of circle of annulus 411 upper surfaces; Entity 412 is rectangular parallelepipeds; Width Y, 411=Width Y, 412, Radius 411Be the external diameter of annulus 411, Radius 411<Width X, 412, Radius 411<Width Z, 412Make A 411, A 412Overlap, then obtain entity 413:Ent by following formula 413=Ent 411-Ent 412
Among 3.4.1.1 arc-shaped pins: Fig. 4 (b), on the entity 413, arc AB=arc BC, i.e. B 413Be the mid point of arc AC, D 413The 13rd, the center of circle of entity 413 upper surfaces; In the rectangular parallelepiped 414, Width Z, 414=2*Radius 411, A 414Be CD 414Mid point, B 414Be EF 414Mid point, establish AB 414Be A 414, B 414Line; Entity 413 is contour with rectangular parallelepiped 414.Order is moved and rotation entity 413 and 414, up to B 413, D 413, AB 414Conllinear, and B 413With A 414Overlap, then obtain arc-shaped pins 415:Ent by following formula 415=Ent 413∪ Ent 414Be called the pin tongue by the entity 414 corresponding positions that form on the arc-shaped pins 415.
4 assemblings: among Fig. 5, right cylinder 511 is called weight, and its material is nonmagnetic substance (as a glass), entity the 512,513, the 514th, the copy of right cylinder 511.Be enclosed within outside the big pipe 205-3 of master 205 with making circular hole loose fit in the middle of the main swing arm 510, the hole of inferior dish 404 centers is enclosed within outside the roundlet pipe 205-4 of master 205 ordinatedly, and inferior dish 404 only revolve recessed and master 205 only revolve protruding wringing fit, circular hole in the middle of the inferior swing arm 515 is enclosed within outside the roundlet pipe 205-4 of master 205 ordinatedly, inferior dish 404 is between main swing arm 510 and inferior swing arm 515, the pin tongue of arc-shaped pins 415 passes the pin-and-hole of master and is enclosed within ordinatedly outside the roundlet pipe 205-4 of master 205, non magnetic right cylinder 511,512,513,514 are a tight fit in respectively in the accent repeated hole at main swing arm and time swing arm two ends, so form group of entities 516, group of entities 516 is classroom drawing-lots disk.
Pattern on 5 masters and time dish: among Fig. 6, be distributed with ten concentric circless on the master, all concentrically ringed radiuses constitute an arithmetic progression, and wherein minimum radius of a circle is greater than the external radius of inferior dish.Zone between adjacent two circles is called the circle of drawing lots, and each circle of drawing lots is along circumferentially being divided into a plurality of digital districts, and adjacent digital interval separatrix is a radial line segments in the same lot circle.Nine on the master circles of drawing lots are divided into 10,9,8,7,6,5,4,3,2 digital districts from outside to inside successively respectively.If the circle of drawing lots contains the individual number of N+1 (N is an integer, 1≤N≤9) district, then in each digital district of this lot circle, be marked with a character string " N:X " (N, X are the integer less than 10); Wherein X is an integer variable, and 0≤X≤N, and there is a unique character string (being the character string difference in any two digital districts) in each digital district, and this lot circle is called the circle of drawing lots N number, and the number district at character string " N:X " place is called the digital district of N:X.The pattern on the inferior dish and the pattern of master are same, and the two is that size is different.
6 operation instructions: this invention has two kinds of lot methods:
6.1 method one: to the numbered fixedly class of student, establishing its full class number is ab+1 (a represents the tens word, and b is a unit numbers), and is to number one by one since 0; At this moment, master can be described as ten dishes, and inferior dish can be described as a position dish.Choose the circle of on the master a number drawing lots as the master circle of effectively drawing lots; Two swing arms are rotated, when if two swing arms stop, main swing arm is taken aim at line and is parked in effectively draw lots a on the circle of master: the digital district of X, if X<a, the effective lot of choosing on time dish of No. 9 lot circles conduct time dish enclosed, inferior swing arm is taken aim at line and is parked in time dish 9 of circle: the Y that effectively draws lots, and that then draws is numbered XY (X represents the tens word, and Y is a unit numbers); If X=a, to choose the b number circle of drawing lots on time dish and make time dish circle of effectively drawing lots, main swing arm is taken aim at line and is parked in time dish 9 of circle: the Y that effectively draws lots, and that then draws is numbered aY (a represents the tens word, and Y is a unit numbers).
6.2 method two: to the unnumbered interim training seminar of student, the full student of class is divided into the individual group of N+1 (N is an integer, 1≤N≤9), and the number of members of each group≤10; All groups are numbered one by one since 0; In each group,, the member is numbered one by one since 0 with on-the-spot seat order.At this moment, master can be described as group's dish, and inferior dish can be described as member's dish.Choose the circle of on the master N number drawing lots as the master circle of effectively drawing lots; Two swing arms are rotated, when if two swing arms stop, main swing arm is taken aim at line and is parked in effectively draw lots N on the circle of master: the digital district of X, if the number of members of X group is M+1, the effective lot of choosing on time dish of M number lot circle conduct time dish enclosed, inferior swing arm is taken aim at line and is parked in the effectively M of lot circle: Y of time dish, and the member who then draws is the Y member of X group.
Beneficial effect of the present invention
Volume of the present invention is little, in light weight, and raw materials consumption is few, has realized screwless assembling production, and cost is low; Operation fast and simple can once be taken out arbitrarily less than 100 integer, both has been suitable for the numbered fixedly class of student, also is suitable for the unnumbered interim training seminar of student; Also can in the random theory teaching, make the aided education instrument, have interest and practicality concurrently; Be not with annex, the problem that does not exist annex to lose has certain decoration functions, and long service life is particularly suitable for being installed on the public arena.
Description of drawings
Fig. 1-Fig. 5 is mechanical component of the present invention or parts (being 3D solid) forming process figure or wiring layout.
Fig. 6 is a schematic diagram of the present invention.

Claims (1)

1 classroom drawing-lots disk, a kind of mechanical hook-up that can finish the lot function, it is characterized in that: be enclosed within outside the big pipe (205-3) of master (205) to the circular hole loose fit in the middle of the main swing arm (510), the hole of inferior dish (404) center is enclosed within outside the little pipe (205-4) of master (205) ordinatedly, and inferior dish (404) only revolve recessed and master (205) only revolve protruding wringing fit; Be enclosed within outside the little pipe (205-4) of master (205) to circular hole loose fit in the middle of the inferior swing arm (515); The pin tongue of arc-shaped pins (415) passes the pin-and-hole of master and is enclosed within ordinatedly outside the little pipe (205-4) of master (205), and 4 non magnetic right cylinders are a tight fit in respectively in the accent repeated hole at main swing arm and time swing arm two ends; Nine circles of drawing lots on the master are divided into 10,9,8,7,6,5,4,3,2 digital districts from outside to inside successively respectively, are marked with a character string " N:X " in each digital district, and N, X are the integer less than 10; The pattern on the inferior dish and the pattern of master are together.
CN2008100450830A 2008-03-28 2008-03-28 Classroom drawing-lots disk Expired - Fee Related CN101546450B (en)

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CN2008100450830A CN101546450B (en) 2008-03-28 2008-03-28 Classroom drawing-lots disk

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CN101546450B CN101546450B (en) 2010-08-18

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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108364533A (en) * 2018-02-08 2018-08-03 鄢月红 A kind of education and instruction pumping answer equipment
CN113506479A (en) * 2021-07-23 2021-10-15 哈尔滨徙木科技有限公司 Teaching platform

Family Cites Families (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US5435556A (en) * 1993-12-06 1995-07-25 Win-It Lotto Selections Inc. Electrically operated random number selector
CN2236672Y (en) * 1995-10-26 1996-10-02 刘林 Transmission of automatic bonus disc
CN2495000Y (en) * 2001-09-28 2002-06-12 刘娟 Automatic lot toy for amusement

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108364533A (en) * 2018-02-08 2018-08-03 鄢月红 A kind of education and instruction pumping answer equipment
CN113506479A (en) * 2021-07-23 2021-10-15 哈尔滨徙木科技有限公司 Teaching platform

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