CN106067267A - The demo system of mathematical induction - Google Patents
The demo system of mathematical induction Download PDFInfo
- Publication number
- CN106067267A CN106067267A CN201610352402.7A CN201610352402A CN106067267A CN 106067267 A CN106067267 A CN 106067267A CN 201610352402 A CN201610352402 A CN 201610352402A CN 106067267 A CN106067267 A CN 106067267A
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- China
- Prior art keywords
- dominoes
- table top
- push rod
- recessed
- hole
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- G—PHYSICS
- G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
- G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
- G09B23/00—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
- G09B23/02—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for mathematics
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- General Physics & Mathematics (AREA)
- Physics & Mathematics (AREA)
- Pure & Applied Mathematics (AREA)
- Mathematical Analysis (AREA)
- Mathematical Optimization (AREA)
- Mathematical Physics (AREA)
- Computational Mathematics (AREA)
- Engineering & Computer Science (AREA)
- Algebra (AREA)
- Business, Economics & Management (AREA)
- Educational Administration (AREA)
- Educational Technology (AREA)
- Theoretical Computer Science (AREA)
- Management, Administration, Business Operations System, And Electronic Commerce (AREA)
Abstract
The invention discloses the demo system of mathematical induction, relate to mathematical education field, be specifically related to a kind of demo system of mathematical induction. comprise controller, sensor, dominoes, table top, supporting leg and push rod box; Below table top, have supporting leg, be evenly provided with eight recessed roads of dominoes on table top, the head end in eight recessed roads of dominoes converges at the mid point of table top, and eight the recessed road of dominoes ends are to the edge of table top; The end face in eight recessed roads of dominoes has sensor, and inner bottom surface, eight recessed roads of dominoes is provided with through hole; The bottom centre position of table top is provided with push rod box, has eight electromagnetism push rods in push rod box, and the body of rod of electromagnetism push rod is arranged at respectively in through hole; In the recessed road of each dominoes, be uniformly-spaced arranged with dominoes, the dominoes of the recessed road of each dominoes inner terminal are pressed in above through hole; Table top side is provided with controller, and controller is connecting sensor and electromagnetism push rod respectively. and the invention solves prior art and exist demonstration not directly perceived, be not easy to the problem that several students operate simultaneously.
Description
Technical field
The present invention relates to mathematical education field, be specifically related to a kind of demo system of mathematical induction.
Background technology
Mathematical induction (Mathematical Induction, MI) be a kind of mathematical proof method, be normally used for card bright certain given proposition is set up within the scope of whole (or local) natural number. in number theory, mathematical induction is with one not with mode prove that infinite sequence is all correct mathematical theorem. mathematical induction belongs to rigorous deduction completely method. Chinese patent literature CN202331977U discloses Simple mathematical induction demonstration device, this patent structure is simple, operation side just, can improve student's understandability and learning interest. Chinese patent literature CN102789724B discloses a kind of mathematical induction dominoes apparatus for demonstrating, this patent can realize the operation that automation is stood up and fallen down, students operates letter in study single, convenient, and can increase the learning interest of students. but the presentation process of above-mentioned two patents is not directly perceived, be not easy to several student operates simultaneously.
Summary of the invention
The invention provides a kind of demo system of mathematical induction, the invention solves prior art and exist demonstration not directly perceived, be not easy to the problem that several students operate simultaneously.
For addressing the above problem, the present invention adopts following technical scheme: the demo system of mathematical induction, comprises control Device, sensor, dominoes, table top, supporting leg and push rod box; Table top is circular, has supporting leg below table top, on table top, is evenly provided with Eight recessed roads of dominoes, the head end in eight recessed roads of dominoes converges at the mid point of table top, and eight the recessed road of dominoes ends are to the edge of table top; The end face in eight recessed roads of dominoes has sensor, and inner bottom surface, eight recessed roads of dominoes is provided with through hole; The bottom centre of table top Position is provided with push rod box, has eight electromagnetism push rods in push rod box, and the body of rod of electromagnetism push rod is arranged at respectively in through hole; Each Dominoes are uniformly-spaced arranged with dominoes in recessed road, and the dominoes of the recessed road of each dominoes inner terminal are pressed in above through hole; Install table top side Have controller, controller is connecting sensor and electromagnetism push rod respectively.
The present invention can facilitate several student's operations, presentation process is directly perceived, thereby can intelligently promote dominoes and realize mathematical induction N=K establishment, the theoretical demonstration that N=K+1 also sets up. the present invention has changed the traditional teaching mode of former teacher's one-to-many, improving efficiency of teaching. the own practical operation of student is deepened the inductive impression of mathematics, and then improves student's understandability and students ' interest of study.
Brief description of the drawings
Fig. 1 is structural representation of the present invention;
Fig. 2 is the A-A cutaway view Amplified image in Fig. 1；
Fig. 3 is the B-B cutaway view Amplified image in Fig. 1；
Fig. 4 is the connection diagram of internal control circuit of the present invention.
Symbol description in figure: controller 1, sensor 2, the recessed road 3 of dominoes, dominoes 4, table top 5, electromagnetism push rod 6, supporting leg 7, pushes away Bar box 8, through hole 9.
Detailed description of the invention
By optimal embodiment, the present invention is described in detail below.
As Figure 1-4, the demo system of mathematical induction, including controller 1, sensor 2, dominoes 4, table top 5, supporting leg
7 and push rod box 8；Table top 5 is circular, has supporting leg 7 below table top 5, and table top 5 and supporting leg 7 are such as Round table structure；On table top 5 all
Even being provided with eight dominoes recessed channel 3, the head end of eight dominoes recessed channel 3 converges at the midpoint of table top 5, eight dominoes recessed channel 3 ends
Edge to table top 5；The end face of eight dominoes recessed channel 3 has sensor 2, and eight inner bottom surfaces of dominoes recessed channel 3 are provided with logical
Hole 9；The bottom centre position of table top 5 is provided with push rod box 8, has eight electromagnetism push rods 6, the body of rod of electromagnetism push rod 6 in push rod box 8
It is respectively arranged in through hole 9；Dominoes 4, the dominoes of each dominoes recessed channel inner terminal it are arranged with at equal intervals in each dominoes recessed channel 3
It is pressed in above through hole 9；Table top 5 side is provided with controller 1, and controller 1 connects sensor 2 and electromagnetism push rod 6 respectively.
The use principle of the present invention is: electromagnetism push rod 6 principle is to utilize the electric magnet with push rod to move iron core and static iron core
Adhesive and release, it is achieved the straight reciprocating motion of push rod.
During experiment, operator send instruction by controller 1, control electromagnetism push rod action, by interior for each Os Sus domestica board
Hold one to be fallen down by top, carry out arranging dominoes rule according to each student, determine whether dominoes operate pre-provisioning request and all fall down；
If last dominoes falls down, then sensor transmits information to controller.During experiment, controller can be connected teacher's
Computer, teacher with monitoring experiment situation, and can explain.The present invention is fallen down by first dominoes, has rule at dominoes
Under the arrangement of rule, second dominoes can be promoted to fall down, and then checking mathematical induction N=K is set up, the reason that N=K+1 also sets up
Opinion.
The present invention can facilitate several student to operate, intelligent selection dominoes it is achieved thereby that mathematical induction N=K set up, N
The theory that=K+1 also sets up.The present invention changes the traditional teaching mode of teacher's one-to-many in the past, improves teaching efficiency.Learn
It is conigenous own practical operation impression inductive to mathematics to deepen, and then improves understandability and the students ' interest of study of student.
It is last that it is noted that obviously above-described embodiment is only for clearly demonstrating example of the present invention, and also
The non-restriction to embodiment.For those of ordinary skill in the field, can also do on the basis of the above description
Go out change or the variation of other multi-form.Here without also cannot all of embodiment be given exhaustive.And thus drawn
What Shen went out obviously changes or changes among still in protection scope of the present invention.
Claims (1)
1. the demo system of mathematical induction, it is characterised in that include controller, sensor, dominoes, table top, supporting leg and push rod
Box；Table top is circular, has supporting leg, table top is evenly arranged with eight dominoes recessed channel, the head of eight dominoes recessed channel below table top
End converges at the midpoint of table top, the edge of eight dominoes recessed channel ends to table top；The end face of eight dominoes recessed channel has sensing
Device, bottom surface, eight dominoes recessed channel the inners is provided with through hole；The bottom centre position of table top is provided with push rod box, has eight in push rod box
Individual electromagnetism push rod, the body of rod of electromagnetism push rod is respectively arranged in through hole；Dominoes it are arranged with at equal intervals, often in each dominoes recessed channel
The dominoes of individual dominoes recessed channel inner terminal are pressed in above through hole；Mesa sides is provided with controller, and controller connects sensor respectively
With electromagnetism push rod.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201610352402.7A CN106067267A (en) | 2016-05-26 | 2016-05-26 | The demo system of mathematical induction |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201610352402.7A CN106067267A (en) | 2016-05-26 | 2016-05-26 | The demo system of mathematical induction |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN106067267A true CN106067267A (en) | 2016-11-02 |
Family
ID=57420047
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201610352402.7A Pending CN106067267A (en) | 2016-05-26 | 2016-05-26 | The demo system of mathematical induction |
Country Status (1)
| Country | Link |
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| CN (1) | CN106067267A (en) |
Citations (12)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN2231564Y (en) * | 1995-04-07 | 1996-07-24 | 李伟功 | Dominoes game apparatus |
| CN1845210A (en) * | 2006-04-18 | 2006-10-11 | 上海市嘉定区第二中学 | Energy transformation demonstration apparatus |
| CN2891156Y (en) * | 2006-04-18 | 2007-04-18 | 上海市嘉定区第二中学 | Energy transformation demonstrator |
| CN201063213Y (en) * | 2007-03-15 | 2008-05-21 | 上海市嘉定区第二中学 | Automatically resetting device for simulating pulsating wave |
| CN101266722A (en) * | 2007-03-15 | 2008-09-17 | 上海市嘉定区第二中学 | An automatic reset analog pulse wave device |
| US20090253503A1 (en) * | 1998-03-11 | 2009-10-08 | David A Krise | Electronic game system with player-controllable security for display images |
| CN201796532U (en) * | 2010-08-26 | 2011-04-13 | 上海市市西初级中学 | Domino teaching device capable of demonstrating electromagnetic induction experiment |
| CN201921462U (en) * | 2010-08-26 | 2011-08-10 | 上海市市西初级中学 | Domino device capable of realizing interesting games |
| CN202331977U (en) * | 2011-12-07 | 2012-07-11 | 吕若晨 | Simple mathematical induction demonstration device |
| CN102789724A (en) * | 2012-08-21 | 2012-11-21 | 安徽金诺数字文化科技发展有限公司 | Device for demonstrating domino by using mathematical induction |
| CN203577294U (en) * | 2013-05-28 | 2014-05-07 | 李光胜 | Domino placing structure |
| CN104069635A (en) * | 2014-07-11 | 2014-10-01 | 马彦红 | Domino system |
-
2016
- 2016-05-26 CN CN201610352402.7A patent/CN106067267A/en active Pending
Patent Citations (12)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN2231564Y (en) * | 1995-04-07 | 1996-07-24 | 李伟功 | Dominoes game apparatus |
| US20090253503A1 (en) * | 1998-03-11 | 2009-10-08 | David A Krise | Electronic game system with player-controllable security for display images |
| CN1845210A (en) * | 2006-04-18 | 2006-10-11 | 上海市嘉定区第二中学 | Energy transformation demonstration apparatus |
| CN2891156Y (en) * | 2006-04-18 | 2007-04-18 | 上海市嘉定区第二中学 | Energy transformation demonstrator |
| CN201063213Y (en) * | 2007-03-15 | 2008-05-21 | 上海市嘉定区第二中学 | Automatically resetting device for simulating pulsating wave |
| CN101266722A (en) * | 2007-03-15 | 2008-09-17 | 上海市嘉定区第二中学 | An automatic reset analog pulse wave device |
| CN201796532U (en) * | 2010-08-26 | 2011-04-13 | 上海市市西初级中学 | Domino teaching device capable of demonstrating electromagnetic induction experiment |
| CN201921462U (en) * | 2010-08-26 | 2011-08-10 | 上海市市西初级中学 | Domino device capable of realizing interesting games |
| CN202331977U (en) * | 2011-12-07 | 2012-07-11 | 吕若晨 | Simple mathematical induction demonstration device |
| CN102789724A (en) * | 2012-08-21 | 2012-11-21 | 安徽金诺数字文化科技发展有限公司 | Device for demonstrating domino by using mathematical induction |
| CN203577294U (en) * | 2013-05-28 | 2014-05-07 | 李光胜 | Domino placing structure |
| CN104069635A (en) * | 2014-07-11 | 2014-10-01 | 马彦红 | Domino system |
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| RJ01 | Rejection of invention patent application after publication |
Application publication date: 20161102 |
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| RJ01 | Rejection of invention patent application after publication |