CN109588839B - Collapsible expansion mathematical education toolbox - Google Patents

Collapsible expansion mathematical education toolbox Download PDF

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Publication number
CN109588839B
CN109588839B CN201910046684.1A CN201910046684A CN109588839B CN 109588839 B CN109588839 B CN 109588839B CN 201910046684 A CN201910046684 A CN 201910046684A CN 109588839 B CN109588839 B CN 109588839B
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CN
China
Prior art keywords
display
frame
column
teaching
folding
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Expired - Fee Related
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CN201910046684.1A
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Chinese (zh)
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CN109588839A (en
Inventor
张菊梅
肖越
史红升
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Shenzhen Unicomp Technology Co ltd
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Shenzhen Unicomp Technology Co ltd
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Publication of CN109588839A publication Critical patent/CN109588839A/en
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Publication of CN109588839B publication Critical patent/CN109588839B/en
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    • AHUMAN NECESSITIES
    • A45HAND OR TRAVELLING ARTICLES
    • A45CPURSES; LUGGAGE; HAND CARRIED BAGS
    • A45C11/00Receptacles for purposes not provided for in groups A45C1/00-A45C9/00
    • A45C11/24Etuis for purposes not covered by a single one of groups A45C11/02 - A45C11/22, A45C11/26, A45C11/32 - A45C11/38
    • AHUMAN NECESSITIES
    • A45HAND OR TRAVELLING ARTICLES
    • A45CPURSES; LUGGAGE; HAND CARRIED BAGS
    • A45C13/00Details; Accessories
    • A45C13/001Accessories
    • AHUMAN NECESSITIES
    • A45HAND OR TRAVELLING ARTICLES
    • A45CPURSES; LUGGAGE; HAND CARRIED BAGS
    • A45C13/00Details; Accessories
    • A45C13/02Interior fittings; Means, e.g. inserts, for holding and packing articles
    • AHUMAN NECESSITIES
    • A45HAND OR TRAVELLING ARTICLES
    • A45CPURSES; LUGGAGE; HAND CARRIED BAGS
    • A45C7/00Collapsible or extensible purses, luggage, bags or the like
    • A45C7/0018Rigid or semi-rigid luggage
    • 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
    • G09B23/04Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for mathematics for geometry, trigonometry, projection or perspective

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  • General Physics & Mathematics (AREA)
  • Physics & Mathematics (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Mathematical Physics (AREA)
  • Geometry (AREA)
  • Business, Economics & Management (AREA)
  • Algebra (AREA)
  • Educational Administration (AREA)
  • Educational Technology (AREA)
  • Theoretical Computer Science (AREA)
  • Display Racks (AREA)

Abstract

The invention relates to a foldable and expandable math teaching tool box, which comprises a placing box and is characterized in that: a limiting telescopic rod is arranged in the placing box, a display operation mechanism is arranged at the upper end of the limiting telescopic rod, and a limiting spring is arranged on the limiting telescopic rod between the placing box and the display operation mechanism. The placing box consists of a frame, a front baffle and a driving baffle. The invention can solve the problems that the existing mathematical statistics has the defects that a, a teaching mode is single, pure dictation cannot drive the learning atmosphere, the teaching mode is boring, manual construction is needed by means of teaching tools, time is consumed, the teaching efficiency is influenced, the storage is complicated, and the taking is inconvenient. b. The relation of histogram and sector graph in the show mathematics teaching needs the teacher to draw on the blackboard, and the process that different numerical value of unable accurate show changes is unfavorable for student's understanding scheduling problem.

Description

Collapsible expansion mathematical education toolbox
Technical Field
The invention relates to the technical field of teaching tools, in particular to a foldable and unfoldable mathematical teaching tool box.
Background
Mathematics is the important subject in the teaching, and statistics is an important ring in the mathematical education, shows the change of data through forms such as dogleg graph, histogram and fan-shaped graph in the statistics, need hold teaching aid with the help of the toolbox among the traditional teaching mode.
However, the existing mathematical statistics have the following problems in the teaching process:
a. teaching mode is single, and the pure garrulous dictation teaching can not drive the study atmosphere, and teaching mode is boring and tedious, needs manual the buildding when with the help of the teaching tool, consumes time, influences the efficiency of teaching, and accomodates the complicacy, and the inconvenience of taking.
b. The relation of histogram and sector graph in the show mathematics teaching needs the teacher to draw on the blackboard, and the process that different numerical value of unable accurate show changes is unfavorable for student's understanding.
Based on the above-mentioned consideration, in order to improve mathematical education efficiency, certain research has been made simultaneously to relevant trade has proposed specific technical scheme, chinese utility model patent that is 2018201250347 if patent number, a mathematical education apparatus toolbox opens through the revolving axis with the revolving stage through the rotation of toolbox body, make things convenient for the expansion of toolbox body and accomodate, take out the drawer with putting the thing district slip, conveniently in time take out small-size teaching articles for use, chinese utility model patent that is 201720333447X in addition patent number is a toolbox that mathematical education used can make the mathematics mr can carry a large amount of data and carry out the explanation of a plurality of knowledge points for the student.
According to the situation, the change of accurately displaying different numerical values in the corresponding display graph is still not effectively solved for how to improve the representation of mathematical statistics and activate teaching atmosphere.
Disclosure of Invention
In order to solve the problems, the invention provides a foldable and expandable mathematic teaching tool kit which can solve the problems that a and a teaching mode are single, a learning atmosphere cannot be driven by pure dictation, the teaching mode is tedious, manual construction is needed by means of a teaching tool, time is consumed, the teaching efficiency is influenced, the storage is complex, and the taking is inconvenient. b. The relation of histogram and sector graph in the show mathematical education needs the teacher to draw on the blackboard, and the process that the different numerical values of unable accurate show change is unfavorable for student's understanding, can realize the automatic folding function of hiding of mathematical education show toolbox, and has and be convenient for take, accomodates simply, and show numerical value that can be accurate changes, and the student of being convenient for understands the study.
In order to achieve the purpose, the invention adopts the following technical scheme to realize the purpose: the utility model provides a collapsible expansion formula mathematical education toolbox, is including placing the case, its characterized in that: a limiting telescopic rod is arranged in the placing box, a display operation mechanism is arranged at the upper end of the limiting telescopic rod, and a limiting spring is arranged on the limiting telescopic rod between the placing box and the display operation mechanism.
The placing box comprises a frame, a front baffle and a driving baffle, the frame is connected with the front baffle through a hinge, the frame is connected with the driving baffle through a pin shaft, the driving baffle is in an L type structure, a driving block is arranged on the side wall of the driving baffle and abuts against the display operation mechanism, when the placing box is used, the driving baffle on the placing box is opened, the display operation mechanism is controlled through the driving block to adjust, the front baffle is controlled through the folding of the hinge, and therefore teaching display is facilitated.
Show operation mechanism is including installing the show frame on spacing telescopic link, turn right equidistant lift groove that is provided with from a left side on the show frame, the lift inslot is provided with cylinder show branch chain, the upper end rear side of show frame is opened and is equipped with the folding groove, be provided with arc show branch chain in the folding groove, the left and right sides symmetry of show frame is provided with the chucking branch chain, manual control arc show branch chain is rotatory to suitable position department, thereby make arc show branch chain can with cylinder show between the branch chain cooperate, the chucking branch chain locks the location to arc show branch chain, according to the numerical value that will demonstrate, control cylinder show branch chain carries out the regulation that corresponds, drive arc show branch chain simultaneously and carry out fan-shaped show.
The cylinder display branched chain comprises a display column arranged in the lifting groove in a sliding fit mode, a driven roller is arranged at the lower end of the display column through a bearing and abuts against the execution block, a rack plate is arranged on the side wall of the rear end of the display column, and an indicating needle is arranged at the upper end of the display column.
The arc-shaped display branched chain comprises a display panel arranged in a folding groove through a pin shaft, a display ring is arranged on the display panel at equal intervals from left to right, an arc indicating value is arranged on the display ring, a sliding groove is formed in the outer wall of the display ring, a driven gear is sleeved in the sliding groove in a sliding fit mode, and the driven gear is meshed with a rack plate.
Preferably, the execution block comprises an execution lead screw arranged between the inner walls of the display frame through a bearing, a rotating handle is arranged at the front end of the execution lead screw, an adjusting block is arranged on the execution lead screw and connected with the display frame in a sliding fit mode, the outer wall of the adjusting block abuts against the driven roller, and a panel of the adjusting block, which is in contact with the driven roller, is of a structure which inclines upwards from back to front.
Preferably, the middle part of showing the circle is provided with the spliced pole, is provided with folding sector plate on the spliced pole, links to each other through the sliding fit mode between folding sector plate and the demonstration circle, and the one end of folding sector plate is fixed and is gone up the other end at the demonstration and install on adjusting the pole, adjusts the pole and installs on driven gear, and adjusts swing joint between pole and the demonstration circle.
Preferably, the clamping branched chain is provided with the spliced eye including installing the chucking riser on the show frame on the chucking riser, is provided with the grafting post through sliding fit mode in the spliced eye, is provided with reset spring between grafting post and the chucking riser, installs the locating rack on the grafting post, and the locating rack is the U type structure of two walls from inside to outside slope.
Preferably, the front end of the frame is provided with a connecting groove, and the front baffle is provided with a connecting block matched with the connecting groove.
Preferably, a cylinder indicating value is arranged on the display board, and the cylinder indicating value and the indicating needle move in a matched mode.
The invention has the beneficial effects that:
1. the invention can solve the following problems in the teaching process of the existing mathematical statistics,
a. teaching mode is single, and the pure garrulous dictation teaching can not drive the study atmosphere, and teaching mode is boring and tedious, needs manual the buildding when with the help of the teaching tool, consumes time, influences the efficiency of teaching, and accomodates the complicacy, and the inconvenience of taking.
b. The relation of histogram and sector graph in the show mathematics teaching needs the teacher to draw on the blackboard, and the process that different numerical value of unable accurate show changes is unfavorable for student's understanding.
Can realize the automatic folding function of hiding of mathematical education show toolbox, and have and be convenient for take, accomodate simply, show numerical value that can be accurate changes, and the student of being convenient for understands the study.
2. The invention designs the placing box, the driving baffle on the placing box is opened, the display operation mechanism is controlled to be adjusted through the driving block, and the front baffle is controlled through the hinge folding, so that the teaching display box is convenient to operate and carry out teaching display.
3. The invention designs a display operation mechanism, manually controls the arc-shaped display branched chain to rotate to a proper position, so that the arc-shaped display branched chain can be matched with the cylinder display branched chain, the clamping branched chain locks and positions the arc-shaped display branched chain, controls the cylinder display branched chain to perform corresponding adjustment according to a value to be displayed, and simultaneously drives the arc-shaped display branched chain to perform sector display.
Drawings
The invention is further illustrated with reference to the following figures and examples.
FIG. 1 is a schematic diagram of the present invention.
FIG. 2 is a schematic view of the structure of the holding box of the present invention;
FIG. 3 is a schematic view of the present invention showing the construction of the working mechanism;
FIG. 4 is a schematic view of the structure between the arc display arm and the cylinder display arm (partial section) of the present invention;
fig. 5 is a schematic structural view between the display frame and the clamping branch chain according to the present invention.
Detailed Description
The embodiments of the invention will be described in detail below with reference to the drawings, but the invention can be implemented in many different ways as defined and covered by the claims.
As shown in fig. 1 to 5, a foldable and expandable mathematical education tool box comprises a placing box 1, a limiting telescopic rod 2 is installed in the placing box 1, a display operation mechanism 3 is installed at the upper end of the limiting telescopic rod 2, and a limiting spring 4 is arranged on the limiting telescopic rod 2 between the placing box 1 and the display operation mechanism 3.
Place case 1 and constitute by frame 11, preceding baffle 12 and drive baffle 13, link to each other through the hinge between frame 11 and the preceding baffle 12, link to each other through the round pin axle between frame 11 and the drive baffle 13, drive baffle 13 is L type structure, and is provided with drive block 14 on the lateral wall of drive baffle 13, and drive block 14 supports and leans on show operating device 3.
The front end of the frame 11 is provided with a connecting groove, and the front baffle 12 is provided with a connecting block matched with the connecting groove.
The driving baffle 13 is lifted, the driving block 14 on the driving baffle 13 controls the display operation mechanism 3 to move upwards to a proper position, and the front baffle 12 is controlled to be separated from the frame 11, so that the operation of the invention is convenient.
The clamping branched chain 34 comprises a clamping vertical plate 341 mounted on the display frame 31, a plugging hole is formed in the clamping vertical plate 341, a plugging column 342 is arranged in the plugging hole in a sliding fit mode, a reset spring 343 is arranged between the plugging column 342 and the clamping vertical plate 341, a positioning frame 344 is mounted on the plugging column 342, and the positioning frame 344 is a U-shaped structure with two walls inclined from inside to outside.
The inserting column 342 is pulled outwards to ensure that the positioning frame 344 does not interfere with the movement of the display panel 331, the display panel 331 is controlled to move and adjust to a proper position, the rack plate 324 is meshed with the driven gear 335, the inserting column 342 is loosened, and the reset spring 343 controls the positioning frame 344 to lock and position the left end and the right end of the display panel 331.
The exhibition operation mechanism 3 is including installing the show frame 31 on spacing telescopic link 2, turns right equidistant lift groove that is provided with from a left side on the show frame 31, is provided with cylinder show branched chain 32 in the lift groove, and the upper end rear side of show frame 31 is opened and is equipped with the folding groove, is provided with arc show branched chain 33 in the folding groove, and the left and right sides symmetry of show frame 31 is provided with chucking branched chain 34.
The column display branched chain 32 comprises a display column 321 arranged in the lifting groove in a sliding fit mode, the lower end of the display column 321 is provided with a driven roller 322 through a bearing, the driven roller 322 abuts against an execution block 323, the rear end side wall of the display column 321 is provided with a rack plate 324, and the upper end of the display column 321 is provided with an indicating needle 325.
The execution block 323 comprises an execution screw 3231 arranged between the inner walls of the display frame 31 through a bearing, a rotating handle 3232 is arranged at the front end of the execution screw 3231, an adjusting block 3233 is arranged on the execution screw 3231, the adjusting block 3233 is connected with the display frame 31 in a sliding fit mode, the outer wall of the adjusting block 3233 abuts against the driven roller 322, and a panel of the adjusting block 3233 in contact with the driven roller 322 is of a structure which is inclined upwards from back to front.
According to the numerical value to be expressed, the screw driver 3232 controls the actuator screw 3231 to rotate, thereby controlling the adjusting block 3233 to press the driven roller 322, determining the height of the display column 321 by the position indicated by the pointer 325, and reading the column indicated value 3311 corresponding to the pointer 325.
The arc-shaped display branched chain 33 comprises a display plate 331 arranged in a folding groove through a pin shaft, a display ring 332 is arranged on the display plate 331 at equal intervals from left to right, an arc-shaped indication value 333 is arranged on the display ring 332, a sliding groove 334 is arranged on the outer wall of the display ring 332, a driven gear 335 is sleeved in the sliding groove 334 in a sliding fit mode, and the driven gear 335 is meshed with a rack plate 324.
The display panel 331 has a cylinder indication value 3311, and the cylinder indication value 3311 and the pointer 325 move in cooperation with each other.
The middle part of the display ring 332 is provided with a connecting column 3321, the connecting column 3321 is provided with a folding sector plate 3322, the folding sector plate 3322 is connected with the display ring 332 in a sliding fit mode, one end of the folding sector plate 3322 is fixed on the display ring 332, the other end of the folding sector plate 3322 is installed on the adjusting rod 3323, the adjusting rod 3323 is installed on the driven gear 335, and the adjusting rod 3323 is movably connected with the display ring 332.
When the display post 321 moves upward, the driven gear 335 is controlled to rotate by the rack plate 324, when the driven gear 335 rotates, the folding fan-shaped plate 3322 is controlled by the adjusting rod 3323 to perform folding adjustment, and the arc indication value 333 indicated by the adjusting rod 3323 is read.
When in work:
preparation operation: the driving baffle 13 is lifted, the driving block 14 on the driving baffle 13 controls the display frame 31 to move upwards to a proper position, and the front baffle 12 is controlled to be separated from the frame 11, so that the operation of the invention is convenient.
Adjusting operation: the inserting column 342 is pulled outwards to ensure that the positioning frame 344 does not interfere with the movement of the display panel 331, the display panel 331 is controlled to move and adjust to a proper position, the rack plate 324 is meshed with the driven gear 335, the inserting column 342 is loosened, and the reset spring 343 controls the positioning frame 344 to lock and position the left end and the right end of the display panel 331.
And (3) executing the operation: according to the numerical value to be expressed, the screw handle 3232 is screwed to control the execution screw 3231 to rotate, so that the adjusting block 3233 is controlled to press the driven roller 322, the height of the display column 321 is determined by the position indicated by the pointer 325, the column indicated value 3311 corresponding to the pointer 325 is read, the driven gear 335 is controlled to rotate by the rack plate 324 when the display column 321 moves upwards, the folding fan-shaped plate 3322 is controlled to perform folding adjustment by the adjusting rod 3323 when the driven gear 335 rotates, and the arc indicated value 333 indicated by the adjusting rod 3323 is read.
It will be evident to those skilled in the art that the invention is not limited to the details of the foregoing illustrative embodiments, and that the present invention may be embodied in other specific forms without departing from the spirit or essential attributes thereof. The present embodiments are therefore to be considered in all respects as illustrative and not restrictive, the scope of the invention being indicated by the appended claims rather than by the foregoing description, and all changes which come within the meaning and range of equivalency of the claims are therefore intended to be embraced therein. Any reference sign in a claim should not be construed as limiting the claim concerned.
Furthermore, it should be understood that although the present description refers to embodiments, not every embodiment may contain only a single embodiment, and such description is for clarity only, and those skilled in the art should integrate the description, and the embodiments may be combined as appropriate to form other embodiments understood by those skilled in the art.

Claims (4)

1. A collapsible expansion mathematics teaching toolbox, is including placing case (1), its characterized in that: a limiting telescopic rod (2) is arranged in the placing box (1), a display operation mechanism (3) is arranged at the upper end of the limiting telescopic rod (2), and a limiting spring (4) is arranged on the limiting telescopic rod (2) between the placing box (1) and the display operation mechanism (3);
the placement box (1) is composed of a frame (11), a front baffle (12) and a driving baffle (13), the frame (11) is connected with the front baffle (12) through a hinge, the frame (11) is connected with the driving baffle (13) through a pin shaft, the driving baffle (13) is of an L-shaped structure, a driving block (14) is arranged on the side wall of the driving baffle (13), and the driving block (14) abuts against the display operation mechanism (3);
the display operation mechanism (3) comprises a display frame (31) arranged on the limiting telescopic rod (2), lifting grooves are formed in the display frame (31) at equal intervals from left to right, cylinder display branched chains (32) are arranged in the lifting grooves, a folding groove is formed in the rear side of the upper end of the display frame (31), arc display branched chains (33) are arranged in the folding groove, and clamping branched chains (34) are symmetrically arranged on the left side and the right side of the display frame (31);
the column body display branched chain (32) comprises a display column (321) arranged in the lifting groove in a sliding fit mode, the lower end of the display column (321) is provided with a driven roller (322) through a bearing, the driven roller (322) abuts against the execution block (323), the side wall of the rear end of the display column (321) is provided with a rack plate (324), and the upper end of the display column (321) is provided with an indicating needle (325);
the arc-shaped display branched chain (33) comprises a display panel (331) arranged in a folding groove through a pin shaft, display rings (332) are arranged on the display panel (331) at equal intervals from left to right, an arc-shaped indication value (333) is arranged on each display ring (332), a sliding groove (334) is arranged on the outer wall of each display ring (332), a driven gear (335) is sleeved in each sliding groove (334) in a sliding fit mode, and the driven gear (335) is meshed with a rack plate (324);
the actuating block (323) comprises an actuating screw rod (3231) arranged between the inner walls of the display frame (31) through a bearing, a rotating handle (3232) is arranged at the front end of the actuating screw rod (3231), an adjusting block (3233) is arranged on the actuating screw rod (3231), the adjusting block (3233) is connected with the display frame (31) in a sliding fit mode, the outer wall of the adjusting block (3233) abuts against the driven roller (322), and a panel of the adjusting block (3233) in contact with the driven roller (322) is of a structure which inclines upwards from back to front;
the middle of the display ring (332) is provided with a connecting column (3321), the connecting column (3321) is provided with a folding sector plate (3322), the folding sector plate (3322) is connected with the display ring (332) in a sliding fit mode, one end of the folding sector plate (3322) is fixed on the display ring (332), the other end of the folding sector plate is installed on the adjusting rod (3323), the adjusting rod (3323) is installed on the driven gear (335), and the adjusting rod (3323) is movably connected with the display ring (332);
when the display post (321) moves upwards, the driven gear (335) is controlled to rotate through the rack plate (324), when the driven gear (335) rotates, the folding fan-shaped plate (3322) is controlled to be folded and adjusted through the adjusting rod (3323), and the arc-shaped indicated value (333) indicated by the adjusting rod (3323) is read.
2. The foldably unfolded mathematical education kit as claimed in claim 1, wherein: the clamping branched chain (34) comprises a clamping vertical plate (341) arranged on the display frame (31), a splicing hole is formed in the clamping vertical plate (341), a splicing column (342) is arranged in the splicing hole in a sliding fit mode, a reset spring (343) is arranged between the splicing column (342) and the clamping vertical plate (341), a positioning frame (344) is arranged on the splicing column (342), and the positioning frame (344) is a U-shaped structure with two walls inclined from inside to outside.
3. The foldably unfolded mathematical education kit as claimed in claim 1, wherein: the front end of the frame (11) is provided with a connecting groove, and the front baffle (12) is provided with a connecting block matched with the connecting groove.
4. The foldably unfolded mathematical education kit as claimed in claim 1, wherein: the display panel (331) is provided with a column indication value (3311), and the column indication value (3311) and the indicating needle (325) move in a matching way.
CN201910046684.1A 2019-01-18 2019-01-18 Collapsible expansion mathematical education toolbox Expired - Fee Related CN109588839B (en)

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Application Number Priority Date Filing Date Title
CN201910046684.1A CN109588839B (en) 2019-01-18 2019-01-18 Collapsible expansion mathematical education toolbox

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Application Number Priority Date Filing Date Title
CN201910046684.1A CN109588839B (en) 2019-01-18 2019-01-18 Collapsible expansion mathematical education toolbox

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CN109588839A CN109588839A (en) 2019-04-09
CN109588839B true CN109588839B (en) 2020-07-17

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Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN202919296U (en) * 2012-12-10 2013-05-08 田晓莅 Tool box for mathematics teaching aids
CN206610516U (en) * 2017-03-10 2017-11-03 李治 A kind of economical management teaching apparatus for demonstrating
CN206628142U (en) * 2017-01-20 2017-11-10 黑河学院 A kind of Teaching of Economics frame
CN207134014U (en) * 2017-12-16 2018-03-23 黑龙江科技大学 The Multifunctional combined teaching aids that a kind of Teaching of Economics uses
CN109118899A (en) * 2018-10-31 2019-01-01 重庆工程职业技术学院 Graphics rendering system for Teaching of Economics

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN202919296U (en) * 2012-12-10 2013-05-08 田晓莅 Tool box for mathematics teaching aids
CN206628142U (en) * 2017-01-20 2017-11-10 黑河学院 A kind of Teaching of Economics frame
CN206610516U (en) * 2017-03-10 2017-11-03 李治 A kind of economical management teaching apparatus for demonstrating
CN207134014U (en) * 2017-12-16 2018-03-23 黑龙江科技大学 The Multifunctional combined teaching aids that a kind of Teaching of Economics uses
CN109118899A (en) * 2018-10-31 2019-01-01 重庆工程职业技术学院 Graphics rendering system for Teaching of Economics

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