CN109147497A - A kind of higher mathematics curved surface demonstration teaching aid and its control circuit - Google Patents
A kind of higher mathematics curved surface demonstration teaching aid and its control circuit Download PDFInfo
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- CN109147497A CN109147497A CN201811107750.3A CN201811107750A CN109147497A CN 109147497 A CN109147497 A CN 109147497A CN 201811107750 A CN201811107750 A CN 201811107750A CN 109147497 A CN109147497 A CN 109147497A
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- 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
- G09B23/04—Models 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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Abstract
The invention belongs to curved surface demonstration teaching aid technical field, specifically a kind of higher mathematics curved surface demonstration teaching aid and its control circuit, including two supporting elements, supporting element include pedestal, column, fixed link, fixed column, support ring and support plate；Column is fixedly mounted in base top, and the upper end of the column of two supporting elements is connected by fixed link, and the upper end of the column side is fixedly connected with a fixed column；Fixed column outer ring is equipped with support ring, and support ring bottom is equipped with support plate, and support plate is fixedly mounted on column side, and support ring is arranged concentrically with fixed column, and annular groove is surrounded between support ring and fixed column, expansion module is equipped in two opposite annular grooves.Support frame is unfolded one by one along annular groove in drive disk of the present invention, and the rubber covering outside the support frame after expansion is spread apart, and forms an ellipse, the forming process of ellipsoid can be demonstrated out, by the ocular demonstration of teaching aid, deep impression is left to student, improves the learning interest of student.
Description
Technical field
The invention belongs to curved surface demonstration teaching aid technical field, specifically a kind of higher mathematics curved surface demonstration teaching aid and its
Control circuit.
Background technique
Curved surface is a moving-wire, under given conditions, in the track that space continuously moves.Quadratic surface has nine kinds, fits
When choosing rectangular coordinate system in space, their normal equation can be obtained, wherein ellipsoid and paraboloid are gone back in classroom
There is no dedicated teaching aid, and the partial knowledge is very abstract, therefore brings inconvenience to the explanation of the partial knowledge.
Also occurs the technical solution of some curved surface demonstration teaching aids in the prior art, such as application No. is 2013204413004
A Chinese patent disclose a kind of dedicated multifunctional curved demonstration teaching aid of higher mathematics, including chassis, compact disk, spiral shell
Bar, nut, the first annulus and the second annulus, compact disk and chassis are arranged in parallel up and down, and screw rod is threaded through compact disk and bottom vertically
The middle part of disk, the first annulus and the second annulus can be rotated on the screw rod arranged in a crossed manner among compact disk and chassis, nut driving
On the screw rod of compact disk upper end, the structure of first annulus and the second annulus is identical.
The technical solution can make student understand how ellipsoid gets, but the program can't demonstrate ellipsoid
As the mechanism that revolving body is formed, student cannot be made to fully understand the ellipse of the key element and formation for influencing ellipsoidal surface composition
Relationship between Surface of Sphere shape.
Summary of the invention
In order to make up for the deficiencies of the prior art, a kind of higher mathematics curved surface demonstration teaching aid proposed by the present invention and its control electricity
Road is rotated by step motor control drive disk, and support frame is unfolded one by one along annular groove in drive disk, the support frame after expansion
An oval support frame is formed, the rubber covering outside skeleton spreads apart, forms an ellipse, can demonstrate out ellipse
The forming process of spherical surface leaves deep impression to student by the ocular demonstration of teaching aid, improves the learning interest of student,
Learning effect is good.
The technical solution adopted by the present invention to solve the technical problems is: a kind of higher mathematics curved surface of the present invention is drilled
Display teaching aid, including two supporting elements, the supporting element include pedestal, column, fixed link, fixed column, support ring and support plate；Institute
It states base top and column is fixedly mounted, the upper end of the column of two supporting elements is connected by fixed link, and the upper end of the column side is solid
Surely a fixed column is connected；The fixed column outer ring is equipped with support ring, and the support ring bottom is equipped with support plate, the support plate
It is fixedly mounted on column side, the support ring is arranged concentrically with fixed column, and annular groove, phase are surrounded between support ring and fixed column
Pair two annular grooves in be equipped with expansion module, wherein
The expansion module includes one group of support frame, and support frame is at least arranged six, rubber is arranged on the outside of one group of support frame
Glue covering, support frame as described above include the first sliding block, the second sliding block, support rod and arc spring lamination；Peace is slided in an annular groove
The first sliding block is filled, be slidably installed the second sliding block in another opposite annular groove, described arc spring lamination one end and the first sliding block
It is connected, the arc spring lamination other end is connected with the second sliding block, and described support rod one end is connected with the first sliding block, the support rod
The other end is connected with the second sliding block；The support frame of bottom is fixedly connected with fixed column in one group of support frame, remaining support frame can
It is slided along annular groove, drive disk is fixedly mounted in the second sliding block side of the support frame of the top, the drive disk rotation is used for
It controls support frame to slide along annular groove, the rubber covering on the outside of one group of support frame of expansion forms ellipsoidal surface after extending.Work
When, by rotate driving disk, support frame is unfolded one by one along annular groove in drive disk, and the support frame after expansion forms an ellipse
The support frame of shape, the rubber covering outside skeleton spread apart, form an ellipse, can demonstrate out the formation of ellipsoid
Journey leaves deep impression to student by the ocular demonstration of teaching aid, improves the learning interest of student, and learning effect is good.
Preferably, one of support ring bottom is fixedly connected with a movable block, and the movable block is slidably mounted on support
On plate, the movable block is horizontally slipped by screw rod driving, and the support rod includes the first strut and the second strut；Described first
Strut one end is connected with the first sliding block, the first strut other end be equipped with cylindrical hole, second strut one end insertion described in
It is slidably connected in cylindrical hole and with the first strut, the second strut other end is connected with the second sliding block.Rotational lead screw to move
Motion block is mobile, so as to adjust distance between two support rings, arches upward or bounces back accordingly between two support rings, so that exhibition
Support frame after opening forms elliptical shape ball of different shapes, understands the element that ellipsoidal surface is formed convenient for student, passes through the straight of teaching aid
Demonstration is seen, deep impression is left to student, improves the learning interest of student, learning effect is good.
Preferably, second strut side is equipped with tooth socket, is equipped with gear, the gear and tooth in the middle part of first strut
Slot is meshed, the gear outer ring be equipped with along gear radially installed oscillating deck, oscillating deck end sliding contact arc
Elastic slice intrados.When adjusting movable block position, due to being Uniaxial Compression to arc spring lamination, this allows for the deformation of arc spring lamination
Unevenly, by the way that oscillating deck is arranged on the first strut, arc spring lamination is supported, so that the deformation of arc spring lamination is more equal
It is even, to guarantee that the ellipsoidal surface demonstrated out is more accurate.
Preferably, the support ring inner ring of drive disk side is uniformly provided with one group of arc air bag, two adjacent the first sliding blocks
Between be equipped with minitype cylinder, minitype cylinder supplies by arc air bag, and the minitype cylinder is for adjusting two neighboring first cunning
Spacing between block.Second sliding block slides and is expressed to arc air bag, and the gas in arc air bag is connected to miniature gas by conduit
On cylinder, the movement of the first sliding block is assisted, avoids only one from driving disc spins, causes the Caton of the first sliding block, improve teaching aid
Flexibility.
Preferably, between two neighboring arc spring lamination be equipped with one group of support tracheae, the support tracheae it is arc-shaped and with branch
Pushing out ring is concentric, and the support tracheae is supplied by arc air bag.A part of gas that arc air bag generates is passed through support tracheae, supports
Tracheae connects two neighboring arc spring lamination, forms criss-cross grid, is supported to elastic covering, so that the table of elliptical shape ball
Face is smooth, is formed by the more accurate image of elliptical shape ball, leaves deep impression to student, improves the learning interest of student,
Learning effect is good.
A kind of control circuit of higher mathematics curved surface demonstration teaching aid, including the power supply, single-chip microcontroller, pulse generation being sequentially connected in series
Device and stepper motor, power supply are connected to single-chip microcontroller and provide electric power for it, and single-chip microcontroller controls impulse generator and generates pulse signal,
For pulse signal for driving stepper motor to rotate, the stepper motor is four phase eight beat stepper motor, and step angle is 0.75 °, institute
It states stepper motor and is connected to drive disk and for controlling driving disc spins.It is rotated by step motor control drive disk, drive disk
It is run step by step with fixed angle, can intuitively show the various shapes such as semiellipse ball, control precision is high, is convenient for
Student understands the element that ellipsoidal surface is formed, and by the ocular demonstration of teaching aid, leaves deep impression to student, improves student
Learning interest, learning effect is good.
Beneficial effects of the present invention are as follows:
1. the present invention is rotated by step motor control drive disk, support frame is unfolded one by one along annular groove in drive disk,
Support frame after expansion forms an oval support frame, and the rubber covering outside skeleton is spread apart, and forms an ellipse
Shape can demonstrate out the forming process of ellipsoid, by the ocular demonstration of teaching aid, leave deep impression to student, improve
The learning interest of student, learning effect are good.
2. the present invention makes movable block mobile by rotational lead screw, so as to adjust distance between two support rings, two branch
It arches upward or bounces back accordingly between pushing out ring, so that the support frame after expansion forms elliptical shape ball of different shapes, be convenient for student
The element for understanding that ellipsoidal surface is formed leaves deep impression to student by the ocular demonstration of teaching aid, improves student
Interest is practised, learning effect is good.
3. the present invention is by setting oscillating deck, when adjusting movable block position, due to being Uniaxial Compression to arc spring lamination, this
The deformation for allowing for arc spring lamination is uneven, by the way that oscillating deck is arranged on the first strut, is supported to arc spring lamination, so that
The deformation of arc spring lamination is more uniform, to guarantee that the ellipsoidal surface demonstrated out is more accurate.
Detailed description of the invention
The present invention will be further explained below with reference to the attached drawings.
Fig. 1 is main view of the invention；
Fig. 2 is A-A cross-sectional view in Fig. 1；
Fig. 3 is B-B cross-sectional view in Fig. 1；
Fig. 4 is the structural schematic diagram of support frame of the invention；
In figure: supporting element 1, pedestal 11, column 12, fixed link 13, fixed column 14, support ring 15, support plate 16, annular groove
2, module 3, support frame 4, the first sliding block 41, the second sliding block 42, support rod 43, the first strut 431, the second strut 432, arc is unfolded
Shape elastic slice 44, drive disk 45, movable block 5, gear 6, oscillating deck 61, arc air bag 7, minitype cylinder 8, support tracheae 9.
Specific embodiment
In order to be easy to understand the technical means, the creative features, the aims and the efficiencies achieved by the present invention, tie below
Specific embodiment is closed, the present invention is further explained.
As shown in Figures 1 to 4, a kind of higher mathematics curved surface demonstration teaching aid of the present invention, including two supporting elements 1,
The supporting element 1 includes pedestal 11, column 12, fixed link 13, fixed column 14, support ring 15 and support plate 16；The pedestal 11
Column 12 is fixedly mounted in top, and 12 upper end of column of two supporting elements 1 is connected by fixed link 13, the 12 upper end side of column
It is fixedly connected with a fixed column 14；14 outer ring of fixed column is equipped with support ring 15, and 15 bottom of support ring is equipped with support plate
16, the support plate 16 is fixedly mounted on 12 side of column, and the support ring 15 is arranged concentrically with fixed column 14, support ring 15 with
Annular groove 2 is surrounded between fixed column 14, and expansion module 3 is equipped in two opposite annular grooves 2, wherein
The expansion module 3 includes one group of support frame 4, and support frame 4 is at least arranged six, sets on the outside of one group of support frame 4
Rubber covering is set, support frame as described above 4 includes the first sliding block 41, the second sliding block 42, support rod 43 and arc spring lamination 44；In a ring
Be slidably installed the first sliding block 41 in shape slot 2, and be slidably installed the second sliding block 42 in another opposite annular groove 2, the arc
44 one end of elastic slice is connected with the first sliding block 41, and 44 other end of arc spring lamination is connected with the second sliding block 42, the support rod 43
One end is connected with the first sliding block 41, and 43 other end of support rod is connected with the second sliding block 42；Bottom in one group of support frame 4
Support frame 4 is fixedly connected with fixed column 14, remaining support frame 4 can be slided along annular groove 2, the second of the support frame 4 of the top
Drive disk 45 is fixedly mounted in 42 side of sliding block, and the rotation of drive disk 45 is slided for controlling support frame 4 along annular groove 2, expansion
The outside of one group of support frame 4 rubber covering extend after form ellipsoidal surface.When work, pass through rotate driving disk 45, drive disk
45 are unfolded support frame 4 one by one along annular groove 2, the one oval support frame of composition of support frame 4 after expansion, outside skeleton
The rubber covering in face is spread apart, and is formed an ellipse, can be demonstrated out the forming process of ellipsoid, and intuitively drilling for teaching aid is passed through
Show, leave deep impression to student, improve the learning interest of student, learning effect is good.
As one embodiment of the present invention, one of 15 bottom of support ring is fixedly connected with a movable block 5, described
Movable block 5 is slidably mounted in support plate 16, and the movable block 5 is horizontally slipped by screw rod driving, and the support rod 43 includes
First strut 431 and the second strut 432；Described first strut, 431 one end is connected with the first sliding block 41, first strut 431
The other end is equipped with cylindrical hole, and described second strut, 432 one end is inserted into the cylindrical hole and is slidably connected with the first strut 431,
Second strut, 432 other end is connected with the second sliding block 42.Rotational lead screw makes movable block 5 mobile, so as to adjust two branch
Distance between pushing out ring 15 is arched upward or is bounced back accordingly between two support rings 15, so that the support frame 4 after expansion is formed not
The elliptical shape ball of similar shape, the element for understanding that ellipsoidal surface is formed convenient for student are left by the ocular demonstration of teaching aid to student
Deep impression, improves the learning interest of student, and learning effect is good.
As one embodiment of the present invention, 432 side of the second strut is equipped with tooth socket, first strut 431
Middle part is equipped with gear 6, and the gear 6 is meshed with tooth socket, and 6 outer ring of gear is equipped with the oscillating deck along 6 radially installed of gear
61, the 61 end sliding contact of oscillating deck 44 intrados of arc spring lamination.When adjusting 5 position of movable block, due to arc
Elastic slice 44 is Uniaxial Compression, and the deformation that this allows for arc spring lamination 44 is uneven, by the way that oscillating deck is arranged on the first strut 431
61, arc spring lamination 44 is supported, so that the deformation of arc spring lamination 44 is more uniform, to guarantee the ellipsoidal surface demonstrated out
It is more accurate.
As one embodiment of the present invention, 15 inner ring of support ring of 45 side of drive disk is uniformly provided with one group of arc gas
Capsule 7, minitype cylinder 8 is equipped between two adjacent the first sliding blocks 41, and minitype cylinder 8 is described miniature by the gas supply of arc air bag 7
Cylinder 8 is for adjusting spacing between two neighboring first sliding block 41.Second sliding block 42 slides and is expressed to arc air bag 7, arc
Gas in air bag 7 is connected on minitype cylinder 8 by conduit, is assisted the movement of the first sliding block 41, is avoided only one driving
Disk 45 rotates, and causes the Caton of the first sliding block 41, improves the flexibility of teaching aid.
As one embodiment of the present invention, one group of support tracheae 9 is equipped between two neighboring arc spring lamination 44, it is described
Support tracheae 9 arc-shaped and concentric with support ring 15, the support tracheae 9 is supplied by arc air bag 7.Arc air bag 7 generates
A part of gas be passed through support tracheae 9, support tracheae 9 connect two neighboring arc spring lamination 44, form criss-cross grid, it is right
Elastic covering is supported, so that the smooth surface of elliptical shape ball, is formed by the more accurate image of elliptical shape ball, leaves to student
Deep impression, improves the learning interest of student, and learning effect is good.
A kind of control circuit of higher mathematics curved surface demonstration teaching aid, including the power supply, single-chip microcontroller, pulse generation being sequentially connected in series
Device and stepper motor, power supply are connected to single-chip microcontroller and provide electric power for it, and single-chip microcontroller controls impulse generator and generates pulse signal,
For pulse signal for driving stepper motor to rotate, the stepper motor is four phase eight beat stepper motor, and step angle is 0.75 °, institute
It states stepper motor and is connected to drive disk 45 and for controlling the rotation of drive disk 45.It is rotated by step motor control drive disk 45,
Drive disk 45 is run step by step with fixed angle, can intuitively show the various shapes such as semiellipse ball, control essence
Degree is high, and the element for understanding that ellipsoidal surface is formed convenient for student leaves deep print to student by the ocular demonstration of teaching aid
As, the learning interest of student is improved, learning effect is good,
When work, by step motor control drive disk 45 rotate, drive disk 45 make support frame 4 along annular groove 2 one by one
Expansion, the support frame 4 after expansion form an oval support frame, and the rubber covering outside skeleton is spread apart, and form one
A ellipse can demonstrate out the forming process of ellipsoid, and by the ocular demonstration of teaching aid, deep print is left to student
As improving the learning interest of student, learning effect is good；
Further, make movable block 5 mobile by rotational lead screw, so as to adjust distance between two support rings 15, two
It arches upward or bounces back accordingly between a support ring 15, so that the support frame 4 after expansion forms elliptical shape ball of different shapes, just
The element that ellipsoidal surface is formed is understood in student, by the ocular demonstration of teaching aid, is left deep impression to student, is improved and learn
Raw learning interest, learning effect are good；
When adjusting 5 position of movable block, due to being Uniaxial Compression to arc spring lamination 44, this allows for the shape of arc spring lamination 44
Become uneven, by the way that oscillating deck 61 is arranged on the first strut 431, arc spring lamination 44 is supported, so that arc spring lamination 44
Deformation it is more uniform, to guarantee that the ellipsoidal surface demonstrated out is more accurate.
Although the present invention be illustrated by specific embodiment, it will be appreciated by those skilled in the art that, do not departing from
In the case where the scope of the invention, various transformation and equivalent substitute can also be carried out to the present invention.In addition, being directed to particular condition or material
Material, can do various modifications to the present invention, without departing from the scope of the present invention.Therefore, the present invention is not limited to disclosed tool
Body embodiment, and should include the whole embodiments fallen within the scope of the appended claims.
Claims (6)
1. a kind of higher mathematics curved surface demonstration teaching aid, it is characterised in that: including two supporting elements (1), the supporting element (1) includes
Pedestal (11), column (12), fixed link (13), fixed column (14), support ring (15) and support plate (16)；Pedestal (11) top
Column (12) are fixedly mounted in portion, and column (12) upper end of two supporting elements (1) is connected by fixed link (13), the column (12)
Upper end side is fixedly connected with a fixed column (14)；Fixed column (14) outer ring is equipped with support ring (15), the support ring
(15) bottom is equipped with support plate (16), and the support plate (16) is fixedly mounted on column (12) side, the support ring (15) with
Fixed column (14) is arranged concentrically, and is surrounded between support ring (15) and fixed column (14) annular groove (2), two opposite annular grooves
(2) expansion module (3) is equipped in, wherein
The expansion module (3) includes one group of support frame (4), and support frame (4) is at least arranged six, one group of support frame (4) outside
Rubber covering is arranged in side, and support frame as described above (4) includes the first sliding block (41), the second sliding block (42), support rod (43) and arc bullet
Piece (44)；It is slidably installed the first sliding block (41) in an annular groove (2), the sliding peace in another opposite annular groove (2)
It fills the second sliding block (42), described arc spring lamination (44) one end is connected with the first sliding block (41), arc spring lamination (44) other end
It is connected with the second sliding block (42), described support rod (43) one end is connected with the first sliding block (41), support rod (43) other end
It is connected with the second sliding block (42)；The support frame (4) of bottom is fixedly connected with fixed column (14) in one group of support frame (4), remaining
Support frame (4) can be slided along annular groove (2), and driving is fixedly mounted in the second sliding block (42) side of the support frame (4) of the top
Disk (45), drive disk (45) rotation are slided for controlling support frame (4) along annular groove (2), one group of support frame (4) of expansion
The rubber covering in outside forms elliptical shape ball after extending.
2. a kind of higher mathematics curved surface demonstration teaching aid according to claim 1, it is characterised in that: one of support ring
(15) bottom is fixedly connected with a movable block (5), and the movable block (5) is slidably mounted on support plate (16), the movable block
(5) it is horizontally slipped by screw rod driving, the support rod (43) includes the first strut (431) and the second strut (432)；Described
One strut (431) one end is connected with the first sliding block (41), the first strut (431) other end be equipped with cylindrical hole, described second
Strut (432) one end is inserted into the cylindrical hole and is slidably connected with the first strut (431), and second strut (432) is another
End is connected with the second sliding block (42).
3. a kind of higher mathematics curved surface demonstration teaching aid according to claim 2, it is characterised in that: second strut
(432) side is equipped with tooth socket, is equipped with gear (6) in the middle part of first strut (431), the gear (6) is meshed with tooth socket, institute
State gear (6) outer ring be equipped with along gear (6) radially installed oscillating deck (61), oscillating deck (61) the end sliding contact arc
Shape elastic slice (44) intrados.
4. a kind of higher mathematics curved surface demonstration teaching aid according to claim 3, it is characterised in that: drive disk (45) side
Support ring (15) inner ring is uniformly provided with one group of arc air bag (7), is equipped with minitype cylinder between two adjacent the first sliding blocks (41)
(8), minitype cylinder (8) is supplied by arc air bag (7), and the minitype cylinder (8) is for adjusting two neighboring first sliding block
(41) spacing between.
5. a kind of higher mathematics curved surface demonstration teaching aid according to claim 4, it is characterised in that: two neighboring arc spring lamination
(44) one group of support tracheae (9) is equipped between, the support tracheae (9) is arc-shaped and concentric with support ring (15), the support
Tracheae (9) is supplied by arc air bag (7).
6. a kind of control circuit for a kind of higher mathematics curved surface demonstration teaching aid described in claim 5, it is characterised in that: packet
The power supply being sequentially connected in series, single-chip microcontroller, impulse generator and stepper motor are included, power supply is connected to single-chip microcontroller and provides electric power for it,
Single-chip microcontroller controls impulse generator and generates pulse signal, and for driving stepper motor to rotate, the stepper motor is pulse signal
Four phase eight beat stepper motor, step angle are 0.75 °, and the stepper motor is connected to drive disk (45) and for controlling drive disk
(45) it rotates.
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| CN201811107750.3A CN109147497B (en) | 2018-09-21 | 2018-09-21 | Higher mathematics curved surface demonstration teaching aid and control circuit thereof |
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| CN201811107750.3A CN109147497B (en) | 2018-09-21 | 2018-09-21 | Higher mathematics curved surface demonstration teaching aid and control circuit thereof |
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| CN109979281A (en) * | 2019-04-30 | 2019-07-05 | 潍坊护理职业学院 | Multifunctional teaching rod is used in a kind of teaching |
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| CN107901678A (en) * | 2017-10-27 | 2018-04-13 | 董国玉 | A kind of mathematical education multifunctional assisting device |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109979281A (en) * | 2019-04-30 | 2019-07-05 | 潍坊护理职业学院 | Multifunctional teaching rod is used in a kind of teaching |
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| CN109147497B (en) | 2020-07-14 |
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