CN106935106A - A kind of mathematics teaching aid - Google Patents

A kind of mathematics teaching aid Download PDF

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Publication number
CN106935106A
CN106935106A CN201710318098.9A CN201710318098A CN106935106A CN 106935106 A CN106935106 A CN 106935106A CN 201710318098 A CN201710318098 A CN 201710318098A CN 106935106 A CN106935106 A CN 106935106A
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CN
China
Prior art keywords
gear
sided rack
bar
housing
fixedly connected
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Granted
Application number
CN201710318098.9A
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Chinese (zh)
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CN106935106B (en
Inventor
毛北行
孟晓玲
王东晓
李庆宾
程春蕊
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Zhengzhou University of Aeronautics
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Zhengzhou University of Aeronautics
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Priority to CN201710318098.9A priority Critical patent/CN106935106B/en
Publication of CN106935106A publication Critical patent/CN106935106A/en
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Publication of CN106935106B publication Critical patent/CN106935106B/en
Expired - Fee Related legal-status Critical Current
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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
    • 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)
  • Toys (AREA)

Abstract

The present invention relates to a kind of mathematics teaching aid, mapping effect is good.Slid laterally on first housing and be connected with the first pull bar, first pull bar is fixedly connected with the first the two-sided rack, first the two-sided rack both sides are engaged with first gear and second gear respectively, first gear is fixedly connected with first connecting rod, second gear is fixedly connected with the first mark post, the second pull bar of connection is slid laterally on second housing, second pull bar is fixedly connected with the second the two-sided rack, second the two-sided rack both sides are engaged with the 3rd gear and the 4th gear being rotatably installed on the second housing respectively, 3rd gear is fixedly connected with second connecting rod, 4th gear is fixedly connected with the second mark post, second connecting rod is fixedly connected with expansion link away from one end of second gear, the other end of expansion link is fixedly connected with first connecting rod away from one end of first gear.High precision of the present invention, excellent in efficiency, can directly find out the heart of triangle and be not used as boost line, while may directly learn that the angle of triangle.

Description

A kind of mathematics teaching aid
Technical field
The present invention relates to teaching equipment technical field, particularly a kind of mathematics teaching aid.
Background technology
In mathematics, the heart of triangle is three intersection points of angular bisector, is the abbreviation in the center of circle of inscribed circle of a triangle; It is equal to three back gauges.In mathematical education, the heart of triangle is found in mapping, usually first makes triangle with protractor and ruler The angular bisector on any both sides of shape, then the intersection point of two angular bisectors is exactly the heart of triangle.But, there is presently no one kind The instrument of triangle angular bisector can directly be looked for.
The content of the invention
For above-mentioned situation, to overcome the defect of prior art, the purpose of the present invention to be just to provide a kind of convenience and directly do Go out the mathematics teaching aid of triangle inner center, mapping is accurate, and mapping effect is good.
Its solution is, including the first housing and the second housing, is slid laterally on first housing and is connected with first Pull bar, the first pull bar is fixedly connected with the first the two-sided rack, the first the two-sided rack both sides be engaged with respectively first gear and Second gear, the first gear is identical with second gear parameter, and the first gear is consolidated away from the side of the first the two-sided rack Surely it is connected with first connecting rod, the second gear is fixedly connected with the first mark post away from the side of the first the two-sided rack, described the The second pull bar of connection is slid laterally on two housings, the second pull bar is fixedly connected with the second the two-sided rack, second the two-sided rack Both sides are engaged with the 3rd gear and the 4th gear being rotatably installed on the second housing, the 3rd gear and the 4th gear respectively Parameter it is identical, the 3rd gear is fixedly connected with second connecting rod, the 4th gear away from the side of the second the two-sided rack The second mark post is fixedly connected with away from the side of the second double sided gear, the second connecting rod is fixed away from one end of the 3rd gear and connected Expansion link is connected to, the other end of expansion link is fixedly connected with first connecting rod away from one end of first gear, first double cog When bar is not located most closely to mutual position with the second the two-sided rack point in the presence of the first pull bar and the second pull bar, the first mark Bar is located along the same line with the second mark post, and the first the two-sided rack and the second the two-sided rack are located at same straight line, and described first connects Bar, the first the two-sided rack, the first mark post are parallel to each other, and are set immediately below the first gear and the line center of second gear axis There is the first summit fixing device, the 3rd gear is arranged right below the second summit and fixes with the line center of the 4th Gear axis Device.
Preferably, the first summit fixing device includes being fixed on the first magnet of the first housing bottom, first magnet Be provided with the first through hole being centrally located at immediately below the line center of first gear and second gear axis, first housing and The first observation panel communicated with first through hole is equipped with first the two-sided rack.
Preferably, the second summit fixing device includes being fixed on the second magnet of the second housing bottom, second magnet Be provided with the second through hole being centrally located at immediately below the line center of the 3rd gear and the 4th Gear axis, second housing and The second observation panel communicated with the second hole is equipped with second the two-sided rack.
Preferably, the first driving tooth bar is installed with the first pull bar, the first driving tooth bar is engaged with installed in first The first drive gear on housing, the first gear rotates a circle, and the first drive gear rotates two weeks, first sliding tooth Wheel top is provided with the first marker disc in fixed shell, and shown first marker disc is provided with the scale of mark angle, and first drives The gear shaft of gear is connected through the first marker disc and being rotated with it, and the first marker disc top has and is fixed on the first drive gear The first pointer rotated on gear shaft and with the first drive gear, the first pointer and the first marker disc constitute display vertex angle The structure of angle, is installed with the second driving tooth bar on second pull bar, the second driving tooth bar is engaged with installed in second The second drive gear on housing, the 3rd gear rotates a circle, and the second drive gear rotates two weeks, second sliding tooth Wheel top is provided with the second marker disc in fixed shell, and second marker disc is provided with the scale of mark angle, and second drives The gear shaft of gear is connected through the second marker disc and being rotated with it, and the second marker disc top has and is fixed on the second drive gear The second pointer rotated on gear shaft and with the second drive gear, the second marker disc constitutes display vertex angle with the second pointer The structure of angle.
Preferably, it is installed with the gear shaft of the first drive gear and rotates hand positioned at the first of the first pointer top Handle, is installed with the gear shaft of second drive gear and rotates handle positioned at the second of the second pointer top.
Preferably, the first the two-sided rack is fixedly connected with the first friendship bar away from one end of the first pull bar, in the first friendship bar The center line of heart line and the first the two-sided rack overlaps, and second the two-sided rack is fixedly connected with the away from one end of the second pull bar Two hand over bar, and described second hands over the center line of bar and the center line of the second the two-sided rack to overlap, and described first hands over bar and second to hand over bar Not in sustained height.
Cleverly by way of a gear and two gears are engaged, high precision, excellent in efficiency can be direct for the present invention Find out the heart of triangle and be not used as boost line, while two angles without can directly show triangle by instrument Degree, and then the angle of triangle can be learnt.
Brief description of the drawings
Fig. 1 is schematic diagram of the present invention.
Fig. 2 is the schematic top plan view of Fig. 1.
Fig. 3 is the first pull bar partial schematic diagram of the invention.
Fig. 4 is the schematic top plan view of this Fig. 3.
Specific embodiment
Specific embodiment of the invention is described in further detail below in conjunction with accompanying drawing.
Be given by Fig. 1 to Fig. 4, the present invention includes the first housing 1 and the second housing 8, it is characterised in that first housing Slid laterally on 1 and be connected with the first pull bar 2, the first housing 1 is provided with chute, the first pull bar 2 passes through the chute on the first housing 1 Constituted with the first housing 1 and be slidably connected, the first pull bar 2 is fixedly connected with the first the two-sided rack 3, the direction of the first the two-sided rack 3 Moving direction with pull bar is consistent, and the both sides of the first the two-sided rack 3 are engaged with first gear 4 and second gear 5 respectively, described First gear 4 is identical with the parameter of second gear 5, and the movement of the first the two-sided rack 3 can drive first gear 4 and second gear 5 to distinguish Identical angle is rotated to both sides, the first gear 4 is fixedly connected with first connecting rod 6 away from the side of the first the two-sided rack 3, The second gear 5 is fixedly connected with the first mark post 7 away from the side of the first the two-sided rack 3, is laterally slided on second housing 8 The second pull bar 9 of dynamic connection, the second housing 8 is provided with chute, and the second pull bar 9 passes through chute and the second housing 8 on the second housing 8 Composition is slidably connected, and the second pull bar 9 is fixedly connected with the second the two-sided rack 10, and the both sides of the second the two-sided rack 10 are engaged respectively There are the 3rd gear 11 and the 4th gear 12 being rotatably installed on the second housing 8, the 3rd gear 11 and the 4th gear 12 Parameter is identical, and the movement of the second double sided gear can simultaneously drive first gear 4 and second gear 5 to rotate identical angle, institute State the 3rd gear 11 and be fixedly connected with second connecting rod 13 away from the side of the second the two-sided rack 10, the 4th gear 12 is away from the The side of two double sided gears 10 is fixedly connected with the second mark post 14, and the second connecting rod 13 is fixed away from one end of the 3rd gear 11 It is connected with expansion link 15, the other end of expansion link 15 is fixedly connected with first connecting rod 6 away from one end of first gear 4, described the One the two-sided rack 3 is not located most closely to mutual with 10 points of the second the two-sided rack in the presence of the first pull bar 2 and the second pull bar 9 During position, the first mark post 7 is located along the same line with the second mark post 14, and the first the two-sided rack 3 and the second the two-sided rack 10 are located at Same straight line, the first connecting rod 6, the first the two-sided rack 3, the first mark post 7 are parallel to each other, the tooth of the first gear 4 and second The line center for taking turns 5 axis is arranged right below the first summit fixing device 16, the 3rd gear 11 and the axis of the 4th gear 12 Line center be arranged right below the second summit fixing device 17.Adjustment expansion link 15, makes the first summit fixing device 16 and the Two summit fixing devices 17 are located at two vertex positions of triangle respectively, a sideline of simultaneous retractable bar 15 and triangle Overlap, the angle and second connecting rod of the first pull bar 2 and the first mark post 7 are adjusted respectively by pulling the pull bar 9 of first connecting rod 6 and second 13 and the second angle between mark post 14.So that the first mark post 7 and the second mark post 14 overlap with the other both sides of triangle respectively. So, the center line of the center line of the first the two-sided rack 3 and the second the two-sided rack 10 is exactly the angular bisector of the corresponding angles of triangle, The intersection point of the center line of the center line of the first the two-sided rack 3 and the second the two-sided rack 10 is exactly the heart of triangle.
First summit fixing device 16 includes being fixed on the first magnet of the bottom of the first housing 1, first magnet It is provided with the first through hole being centrally located at immediately below the line center of first gear 4 and the axis of second gear 5, first housing 1 and first is equipped with the first observation panel communicated with first through hole on the two-sided rack 3.First magnet can be by the mathematics picture mould Tool is fixed on blackboard, and vertex of a triangle is able to observe that by first through hole and the first peep hole.
Second summit fixing device 17 includes being fixed on the second magnet of the bottom of the second housing 8, second magnet It is provided with the second through hole being centrally located at immediately below the line center of the 3rd gear 11 and the axis of the 4th gear 12, the second shell The second observation panel communicated with the second hole is equipped with the two-sided rack 10 of body 8 and second.Second magnet can draw the mathematics Mould is fixed on blackboard, and vertex of a triangle is able to observe that by the second through hole and the second peep hole.
It is installed with the first driving tooth bar 18 on first pull bar 2, the first driving tooth bar 18 is engaged with installed in the The first drive gear 19 on one housing 1, the first gear 4 rotates a circle, and the first drive gear 19 rotates two weeks, and described the The top of one drive gear 18 is provided with the first marker disc 20 in fixed shell, and shown first marker disc 20 is provided with mark angle Scale, the gear shaft of the first drive gear 19 passes through the first marker disc 20 and is rotated with it and is connected, and the top of the first marker disc 20 has The first pointer 21 for being fixed on the gear shaft of the first drive gear 19 and being rotated with the first drive gear 19, the He of the first pointer 21 First marker disc 20 constitutes the structure of display vertex angle angle, and the second sliding tooth is installed with second pull bar 9 Bar 22, the second driving tooth bar 22 is engaged with the second drive gear 23 on the second housing 8, and the 3rd gear 11 rotates One week, the second drive gear 23 rotated two weeks, and the top of the second drive gear 23 is provided with the second marker disc in fixed shell 24, second marker disc 24 is provided with the scale of mark angle, and the gear shaft of the second drive gear 23 passes through the second marker disc 24 and rotated with it and be connected, the top of the second marker disc 24 has and is fixed on the gear shaft of the second drive gear 23 and driven with second Second pointer 25 of the rotation of gear 23, the second marker disc 24 and the second pointer 25 constitute the structure of display vertex angle angle.
It is installed with the gear shaft of first drive gear 19 and rotates hand positioned at the first of the top of the first pointer 21 Handle, is installed with the gear shaft of second drive gear 23 and rotates handle positioned at the second of the top of the second pointer 25.Three Any one angular corner angle is less than 180, it is known that first gear 4, second gear 5, the 3rd gear 11, the 4th gear 12 rotation angles be less than 90 degree, thus the first drive gear 19 and the second drive gear 23 rotation without more than 180 degree just The angle between the mark post 7 of first connecting rod 6 and first and the mark post 14 of second connecting rod 13 and second can be adjusted.Rotate first-hand Handle, drives the first drive gear 19 to rotate, and then causes that the first driving pull bar 2 of tooth bar 18 and first is moved on the first housing 1, First gear 4 and second gear 5 is driven to rotate so as to launch identical with vertex angle between the mark post 7 of first connecting rod 6 and first Angle, and now the angle of the meaning of the first pointer 21 be exactly this correspondence vertex angle angle.Second handle is rotated, is driven Second drive gear 23 rotates, and then causes that the second driving pull bar 9 of tooth bar 22 and second is moved so that the band of the second the two-sided rack 10 Dynamic 3rd gear 11 and the 4th gear 12 rotate so that launch to be pushed up with triangle pair between the mark post 14 of second connecting rod 13 and second Angle identical angle, and now the angle of the meaning of the second pointer 25 is exactly the angle of this corresponding vertex angle.
First the two-sided rack 3 is fixedly connected with the first friendship bar 26 away from one end of the first pull bar 2, in the first friendship bar The center line of heart line and the first the two-sided rack 3 overlaps, and second the two-sided rack 10 is fixedly connected away from one end of the second pull bar 9 There is the second friendship bar 27, described second hands over the center line of bar 27 and the center line of the second the two-sided rack 10 to overlap, and described first hands over bar Bar is handed over not in sustained height with second.The position that the first friendship center line of bar 26 intersects with the second friendship bar 27 is exactly the interior of the triangle The heart, then can make the inscribed circle of a triangle with compasses.The first friendship friendship of bar 26 and second bar 27 can use thin straight steel wire, So that mapping is more accurate.
Cleverly by way of a gear and two gears are engaged, high precision, excellent in efficiency can be direct for the present invention Find out the heart of triangle and be not used as boost line, while two angles without can directly show triangle by instrument Degree, and then the angle of triangle can be learnt.
Embodiment described above is not defined to the scope of the present invention, before design concept of the present invention is not departed from Put, various modifications and improvement that technical staff described in this area makes to technical scheme all should include the present invention Claims determine protection domain in.

Claims (6)

1. a kind of mathematics teaching aid, including the first housing(1)With the second housing(8), it is characterised in that first housing(1)On Slide laterally and be connected with the first pull bar(2), the first pull bar(2)It is fixedly connected with the first the two-sided rack(3), first double cog Bar(3)Both sides are engaged with first gear respectively(4)And second gear(5), the first gear(4)And second gear(5)Parameter It is identical, the first gear(4)Away from the first the two-sided rack(3)Side be fixedly connected with first connecting rod(6), second tooth Wheel(5)Away from the first the two-sided rack(3)Side be fixedly connected with the first mark post(7), second housing(8)On slide laterally Connect the second pull bar(9), the second pull bar(9)It is fixedly connected with the second the two-sided rack(10), second the two-sided rack(10)Two Side is engaged with is rotatably installed in the second housing respectively(8)On the 3rd gear(11)With the 4th gear(12), the 3rd gear (11)With the 4th gear(12)Parameter it is identical, the 3rd gear(11)Away from the second the two-sided rack(10)Side fix connect It is connected to second connecting rod(13), the 4th gear(12)Away from the second double sided gear(10)Side be fixedly connected with the second mark post (14), the second connecting rod(13)Away from the 3rd gear(11)One end be fixedly connected with expansion link(15), expansion link(15)'s The other end and first connecting rod(6)Away from first gear(4)One end be fixedly connected, first the two-sided rack(3)Not with second The two-sided rack(10)Divide in the first pull bar(2)With the second pull bar(9)In the presence of when being located most closely to mutual position, the first mark Bar(7)With the second mark post(14)It is located along the same line, the first the two-sided rack(3)With the second the two-sided rack(10)Positioned at always Line, the first connecting rod(6), the first the two-sided rack(3), the first mark post(7)It is parallel to each other, the first gear(4)With second Gear(5)The line center of axis is arranged right below the first summit fixing device(16), the 3rd gear(11)With the 4th tooth Wheel(12)The line center of axis is arranged right below the second summit fixing device(17).
2. a kind of mathematics teaching aid according to claim 1, it is characterised in that first summit fixing device(16)Including It is fixed on the first housing(1)First magnet of bottom, first magnet is provided with and is centrally located at first gear(4)With the second tooth Wheel(5)First through hole immediately below the line center of axis, first housing(1)With the first the two-sided rack(3)On be equipped with The first observation panel communicated with first through hole.
3. a kind of mathematics teaching aid according to claim 1, it is characterised in that second summit fixing device(17)Including It is fixed on the second housing(8)Second magnet of bottom, second magnet is provided with and is centrally located at the 3rd gear(11)With the 4th Gear(12)The second through hole immediately below the line center of axis, second housing(8)With the second the two-sided rack(10)It is upper equal It is provided with the second observation panel communicated with the second hole.
4. a kind of mathematics teaching aid according to claim 1, it is characterised in that first pull bar(2)On be installed with First drives tooth bar(18), first drives tooth bar(18)It is engaged with installed in the first housing(1)On the first drive gear(19), The first gear(4)Rotate a circle, the first drive gear(19)Rotation two weeks, first drive gear(18)Top is provided with The first marker disc in fixed shell(20), shown first marker disc(20)It is provided with the scale of mark angle, the first sliding tooth Wheel(19)Gear shaft pass through the first marker disc(20)And rotated with it and be connected, the first marker disc(20)Top is fixed on first Drive gear(19)Gear shaft on and with the first drive gear(19)First pointer of rotation(21), the first pointer(21)With One marker disc(20)Constitute the structure of display vertex angle angle, second pull bar(9)On be installed with the second driving Tooth bar(22), second drives tooth bar(22)It is engaged with installed in the second housing(8)On the second drive gear(23), the described 3rd Gear(11)Rotate a circle, the second drive gear(23)Rotation two weeks, second drive gear(23)Top is provided with set casing The second marker disc on body(24), second marker disc(24)It is provided with the scale of mark angle, the second drive gear(23) Gear shaft pass through the second marker disc(24)And rotated with it and be connected, the second marker disc(24)Top is fixed on the second sliding tooth Wheel(23)Gear shaft on and with the second drive gear(23)Second pointer of rotation(25), the second marker disc(24)Refer to second Pin(25)Constitute the structure of display vertex angle angle.
5. a kind of mathematics teaching aid according to claim 4, it is characterised in that first drive gear(19)Gear shaft On be installed with positioned at the first pointer(21)The first rotation handle on top, second drive gear(23)Gear shaft on It is installed with positioned at the second pointer(25)The second rotation handle on top.
6. a kind of mathematics teaching aid according to claim 1, it is characterised in that first the two-sided rack(3)Away from first Pull bar(2)One end be fixedly connected with the first friendship bar(26), first hands over the center line and the first the two-sided rack of bar(3)Center line Overlap, second the two-sided rack(10)Away from the second pull bar(9)One end be fixedly connected with the second friendship bar(27), described second Hand over bar(27)Center line and the second the two-sided rack(10)Center line overlap, it is described first hand over bar and second hand over bar not same Highly.
CN201710318098.9A 2017-05-08 2017-05-08 A kind of mathematics teaching aid Expired - Fee Related CN106935106B (en)

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Application Number Priority Date Filing Date Title
CN201710318098.9A CN106935106B (en) 2017-05-08 2017-05-08 A kind of mathematics teaching aid

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Application Number Priority Date Filing Date Title
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CN106935106B CN106935106B (en) 2018-03-23

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Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2004333426A (en) * 2003-05-12 2004-11-25 Fujikura Ltd Position detecting device
CN203697792U (en) * 2014-01-09 2014-07-09 哈尔滨学院 Special ruler for mathematics teaching
CN205593454U (en) * 2016-04-29 2016-09-21 于江伟 Circle center positioner
CN106142934A (en) * 2016-07-21 2016-11-23 安徽省宿州市第二中学 A kind of teaching aid drawing angular bisector
CN206056416U (en) * 2016-08-23 2017-03-29 上海微小卫星工程中心 Triangle incenter caliberating device

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2004333426A (en) * 2003-05-12 2004-11-25 Fujikura Ltd Position detecting device
CN203697792U (en) * 2014-01-09 2014-07-09 哈尔滨学院 Special ruler for mathematics teaching
CN205593454U (en) * 2016-04-29 2016-09-21 于江伟 Circle center positioner
CN106142934A (en) * 2016-07-21 2016-11-23 安徽省宿州市第二中学 A kind of teaching aid drawing angular bisector
CN206056416U (en) * 2016-08-23 2017-03-29 上海微小卫星工程中心 Triangle incenter caliberating device

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