CN208077463U - A kind of higher mathematics surface of revolution apparatus for demonstrating - Google Patents
A kind of higher mathematics surface of revolution apparatus for demonstrating Download PDFInfo
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- CN208077463U CN208077463U CN201721300606.2U CN201721300606U CN208077463U CN 208077463 U CN208077463 U CN 208077463U CN 201721300606 U CN201721300606 U CN 201721300606U CN 208077463 U CN208077463 U CN 208077463U
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Abstract
The utility model belongs to teaching equipment field, more particularly to a kind of higher mathematics surface of revolution apparatus for demonstrating, including shaft, pedestal, driving wheel, telescopic strut and busbar, the telescopic strut includes that rod set, telescopic rod, hinged tapered end and rod set slide chamber, rod set in the rod set slides the hollow cavity of chamber connection shaft, and rod set slides chamber and is provided with boss at shaft, the rod set, which is slided, to be connected between chamber and telescopic rod by spring；Further include connecting rope, directive wheel and line roller, is provided with directive wheel at the telescopic strut of middle groups in the hollow cavity of the shaft, described connecting rope one end is connected to telescopic rod, and the connecting rope other end is connected to line roller by directive wheel.The utility model can be in presentation process, control the telescopic strut movement of middle groups makes the busbar in rotation change to change the point determined before demonstration, so that student is had intuitivism apprehension to the curved surface variation that different busbares are rotated into, such as there is spherical surface to change to ellipsoid.
Description
Technical field
The utility model belongs to teaching equipment field, and in particular to a kind of higher mathematics surface of revolution apparatus for demonstrating.
Background technology
Surface of revolution is relatively more abstract, indigestible ring in chapter and higher mathematics in Advanced Mathematics
Section.Teacher usually requires that student is helped to generate more intuitively impression to the spatiality of curved surface by apparatus for demonstrating, helps to manage
Solution analysis.In current surface of revolution demonstration teaching aid, need to determine several points before demonstration, and the line with obvious color is passed through
It is fixed on these aspects, forms busbar.After demonstration starts, the several points determined can not change, and also mean that presentation process
In, busbar will not change, and be unfavorable for the intuitivism apprehension for the curved surface variation that student is rotated into different busbares, give higher mathematics
Teaching is made troubles.
Utility model content
To solve the problems, such as that the above technology exists, the utility model provides a kind of higher mathematics surface of revolution apparatus for demonstrating,
In presentation process, can control the telescopic strut movement of middle groups makes the busbar in rotation to change the point determined before demonstration
It changes, student is made to have intuitivism apprehension to the curved surface variation that different busbares are rotated into.
Its technical solution is：
A kind of higher mathematics surface of revolution apparatus for demonstrating, including shaft, pedestal, driving wheel, telescopic strut and busbar, it is described
Shaft lower end is fixed on the base by bearing block, and driving wheel is provided in the shaft, and shaft side is provided with telescopic strut,
The telescopic strut includes that rod set, telescopic rod, hinged tapered end and rod set slide chamber, and described rod set one end is fixed at shaft one
Side is provided with rod set in rod set and slides chamber, and telescopic rod one end setting slides intracavitary in rod set, and the telescopic rod other end is provided with hinged
Tapered end is provided with scale on the telescopic rod, busbar is fixedly installed in the hinged tapered end；
Hollow cavity is set in the shaft, and the shaft side is provided with three groups of telescopic struts, and the middle groups are stretched
Strut further includes spring, and the rod set in the rod set slides the hollow cavity of chamber connection shaft, and rod set is slided chamber and is arranged at shaft
There is boss, the rod set, which is slided, to be connected between chamber and telescopic rod by spring；
Further include connecting rope, directive wheel and line roller, is set at the telescopic strut of middle groups in the hollow cavity of the shaft
It is equipped with directive wheel, described connecting rope one end is connected to telescopic rod, and the connecting rope other end is connected to line roller by directive wheel.
Before demonstration starts, the hinged tapered end of three groups of the upper, middle and lower telescopic strut of shaft side determines three points, by lines
It is fixed on these three hinged tapered ends, forms busbar.Power-equipment drives driving wheel rotation, and shaft also rotates therewith, busbar with
Shaft axis is rotary shaft, forms surface of revolution.At this point, by rotational line roller, connecting rope is pulled, to pull the flexible of rod set
Bar moves, and finally changes intermediate point, the shape of generatrix of change.While shape of generatrix changes, the curved surface of formation is rotated
It changes correspondingly, teacher is facilitated to explain, student is made to have intuitivism apprehension to the curved surface variation that different busbares are rotated into.
Further, further include fixed block, upper slide plate, lower slide plate and rotary joint, set in the hollow cavity of the shaft lower end
It is equipped with fixed block, upper hopper chute is provided in the fixed block, gliding groove, the line are provided in the pedestal immediately below the shaft
Roller is arranged in the pedestal below gliding groove；
The connecting rope is separated into two sections, and the epimere connecting rope is connected to slide plate, and hypomere connecting rope is connected to down
Slide plate, the upper slide plate are connected with lower slide plate by rotary joint, and the upper cunning in fixed block is slidably arranged in the upper slide plate
In slot, the lower slide plate is slidably arranged in the gliding groove in pedestal, the upper slide plate and lower slide plate respectively not with upper hopper chute
It relatively rotates with gliding groove.
In presentation process, shaft rotation drives fixed block, upper slide plate and the rotation of epimere connecting rope in shaft, rotation
In the process, it does not influence epimere connecting rope and upper hopper chute that upper slide plate is relatively fixed in block slides.And lower slide plate is by pedestal
Interior gliding groove limitation, is relatively rotated by rotary joint and upper slide plate, shaft will not be followed to rotate together.It thus is avoided that
Hypomere connecting rope follows shaft to rotate, and is entangled on line roller to irregular.
Further, line roller one end is connected to spin axis, and the spin axis is pierced by pedestal, and is connect with knob, the spin axis
On be provided with ratchet mechanism.
Line roller is arranged in pedestal, and knob can facilitate line roller to rotate, and ratchet mechanism can prevent line roller from turning round.Line roller needs back
When turning, the pawl on ratchet mechanism is unclamped, you can revolution.
Further, it is provided with wheel cap above the directive wheel, the wheel cap is fixed in the hollow cavity of shaft, and wheel cap can be protected
Connecting rope is protected without departing from directive wheel.
Further, it is provided with nut latch fitting in the rod set of the telescopic strut organized above and below, is avoided that in presentation process,
Telescopic rod centrifugalization is done random flexible.
Further, side window is provided in the rod set of the telescopic strut, the scale of the telescopic rod is arranged at telescopic rod
On one end inside the rod set, and shown in the side window in rod set.
Scale is shown in side window, can be more easily aligned zero graduation, and ensures that telescopic rod does not have close to one end of busbar
Scale avoids the curved surface that the shade that scale rotation generates generates busbar rotation and interferes.
Further, the busbar is red adhesive tape, can more obviously observe the curved surface that busbar rotation generates.
Further, the telescopic rod is transparent glass rod, and in rotary course, transparent glass rod substantially will not be to busbar
The curved surface that rotation generates interferes.
The beneficial effects of the utility model：
The utility model in presentation process, can control the telescopic strut movement of middle groups, and to change, demonstration is preceding to be determined
Point, so that the busbar in rotation is changed, so that the curved surface variation that student is rotated into different busbares is had intuitivism apprehension, such as have
Spherical surface changes to ellipsoid.
Description of the drawings
Fig. 1 is the structural schematic diagram of higher mathematics surface of revolution apparatus for demonstrating；
Fig. 2 is the structural schematic diagram of line roller rotary self-locking；
Wherein, 1- shafts, 2- pedestals, 3- driving wheels, 4- telescopic struts, 401- rod sets, 402- telescopic rods, 403- hingedly lock
Head, 404- side windows, 405- nut latch fittings, 406- rod sets slide chamber, 407- springs, 8- fixed blocks, the upper slide plates of 9-, slide plate under 10-,
11- rotary joints, 12- line rollers, 13- spin axis, 14- knobs, 15- ratchet mechanisms, 16- busbares.
Specific implementation mode
As shown in Figure 1, a kind of higher mathematics surface of revolution apparatus for demonstrating, including shaft 1, pedestal 2, driving wheel 3, flexible support
Bar 4 and busbar 16,1 lower end of the shaft are fixed on by bearing block on pedestal 2, and driving wheel 3 is provided in the shaft 1, are turned
1 side of axis is provided with telescopic strut 4, and the telescopic strut 4 includes that rod set 401, telescopic rod 402, hinged tapered end 403 and rod set are slided
Chamber 406,401 one end of the rod set are fixed at 1 side of shaft, and rod set is provided in rod set 401 and slides chamber 406, described flexible
The setting of 402 one end of bar is slided in rod set in chamber 406, and 402 other end of telescopic rod is provided with hinged tapered end 403, on the telescopic rod 402
It is provided with scale, busbar 16 is fixedly installed in the hinged tapered end 403；
Hollow cavity is set in the shaft 1, and 1 side of the shaft is provided with three groups of telescopic struts 4, and the middle groups are stretched
Contracting strut 4 further includes spring 407, and the rod set in the rod set 401 slides the hollow cavity that chamber 406 is connected to shaft 1, and rod set slides chamber
406 are provided with boss at shaft 1, and the rod set, which is slided, to be connected between chamber 406 and telescopic rod 402 by spring 407；
Further include connecting rope 5, directive wheel 6 and line roller 12, close to the telescopic strut of middle groups in the hollow cavity of the shaft 1
Directive wheel 6 is provided at 4,5 one end of the connecting rope is connected to telescopic rod 402, and 5 other end of connecting rope is connected by directive wheel 6
Line roller 12.
Further include fixed block 8, upper slide plate 9, lower slide plate 10 and rotary joint 11, is set in the hollow cavity of 1 lower end of the shaft
It is equipped with fixed block 8, upper hopper chute is provided in the fixed block 8, is provided with gliding groove in the pedestal 2 immediately below the shaft 1, institute
It states in the pedestal 2 that line roller 12 is arranged below gliding groove；
The connecting rope 5 is separated into two sections, and the epimere connecting rope 5 is connected to slide plate 9, and hypomere connecting rope 5 connects
Slide plate 10 down, the upper slide plate 9 and lower slide plate 10 are connected by rotary joint 11, and the upper slide plate 9 is slidably arranged solid
Determine in the upper hopper chute in block 8, the lower slide plate 10 is slidably arranged in the gliding groove in pedestal 2, the upper slide plate 9 and downslide
Piece 10 does not relatively rotate respectively with upper hopper chute and gliding groove.
As shown in Fig. 2, described 12 one end of line roller is connected to spin axis 13, the spin axis 13 is pierced by pedestal 2, and connects with knob 14
It connects, ratchet mechanism 15 is provided in the spin axis 13.
6 top of the directive wheel is provided with wheel cap 7, and the wheel cap 7 is fixed in the hollow cavity of shaft 1.
It is provided with nut latch fitting 405 in the rod set 401 of the telescopic strut 4 organized above and below.
Side window 404 is provided in the rod set 401 of the telescopic strut 4, the scale of the telescopic rod 402 is arranged in telescopic rod
402 on one end inside rod set 401, and display in the side window 404 in rod set 401.
The busbar 16 is red adhesive tape.
The telescopic rod 402 is transparent glass rod.
Claims (8)
1. a kind of higher mathematics surface of revolution apparatus for demonstrating, including shaft（1）, pedestal（2）, driving wheel（3）, telescopic strut（4）
And busbar（16）, the shaft（1）Lower end is fixed on pedestal by bearing block（2）On, the shaft（1）On be provided with driving wheel
（3）, shaft（1）Side is provided with telescopic strut（4）, the telescopic strut（4）Including rod set（401）, telescopic rod（402）, hinge
Connect tapered end（403）Chamber is slided with rod set（406）, the rod set（401）One end is fixed at shaft（1）Side, rod set（401）It is interior
It is provided with rod set and slides chamber（406）, the telescopic rod（402）One end setting slides chamber in rod set（406）It is interior, telescopic rod（402）It is another
End is provided with hinged tapered end（403）, the telescopic rod（402）On be provided with scale, the hinged tapered end（403）Interior fixed setting
There is busbar（16）；
It is characterized in that, the shaft（1）Interior setting hollow cavity, the shaft（1）Side is provided with three groups of telescopic struts（4）,
The telescopic strut of the middle groups（4）It further include spring（407）, the rod set（401）Interior rod set slides chamber（406）It is connected to shaft
（1）Hollow cavity, and rod set slide chamber（406）Close to shaft（1）Place is provided with boss, and the rod set slides chamber（406）With telescopic rod
（402）Between pass through spring（407）Connection；
It further include connecting rope（5）, directive wheel（6）With line roller（12）, the shaft（1）Hollow cavity in close to the flexible of middle groups
Strut（4）Place is provided with directive wheel（6）, the connecting rope（5）One end is connected to telescopic rod（402）, connecting rope（5）The other end is logical
Cross directive wheel（6）It is connected to line roller（12）.
2. a kind of higher mathematics surface of revolution apparatus for demonstrating according to claim 1, which is characterized in that further include fixed block
（8）, upper slide plate（9）, lower slide plate（10）And rotary joint（11）, the shaft（1）It is provided with fixed block in the hollow cavity of lower end
（8）, the fixed block（8）Inside it is provided with upper hopper chute, the shaft（1）The pedestal of underface（2）It is inside provided with gliding groove, it is described
Line roller（12）The pedestal being arranged below gliding groove（2）It is interior；
The connecting rope（5）Two sections are separated into, the epimere connecting rope（5）It is connected to slide plate（9）, hypomere connecting rope（5）
It is connected to lower slide plate（10）, the upper slide plate（9）With lower slide plate（10）Pass through rotary joint（11）Connection, the upper slide plate（9）
Slidably it is arranged in fixed block（8）In interior upper hopper chute, the lower slide plate（10）Slidably it is arranged in pedestal（2）Interior gliding groove
In, the upper slide plate（9）With lower slide plate（10）It does not relatively rotate respectively with upper hopper chute and gliding groove.
3. a kind of higher mathematics surface of revolution apparatus for demonstrating according to claim 2, which is characterized in that the line roller（12）
One end is connected to spin axis（13）, the spin axis（13）It is pierced by pedestal（2）, and and knob（14）Connection, the spin axis（13）On set
It is equipped with ratchet mechanism（15）.
4. a kind of higher mathematics surface of revolution apparatus for demonstrating according to claim 1, which is characterized in that the directive wheel
（6）Top is provided with wheel cap（7）, the wheel cap（7）It is fixed on shaft（1）Hollow cavity in.
5. a kind of higher mathematics surface of revolution apparatus for demonstrating according to claim 1, which is characterized in that described upper and lower group
Telescopic strut（4）Rod set（401）On be provided with nut latch fitting（405）.
6. a kind of higher mathematics surface of revolution apparatus for demonstrating according to claim 1, which is characterized in that the telescopic strut
（4）Rod set（401）On be provided with side window（404）, the telescopic rod（402）Scale be arranged in telescopic rod（402）In bar
Set（401）On internal one end, and in rod set（401）On side window（404）Interior display.
7. a kind of higher mathematics surface of revolution apparatus for demonstrating according to claim 1, which is characterized in that the busbar（16）
For red adhesive tape.
8. according to a kind of higher mathematics surface of revolution apparatus for demonstrating of claim 1-7 any one of them, which is characterized in that described
Telescopic rod（402）For transparent glass rod.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201721300606.2U CN208077463U (en) | 2017-09-30 | 2017-09-30 | A kind of higher mathematics surface of revolution apparatus for demonstrating |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201721300606.2U CN208077463U (en) | 2017-09-30 | 2017-09-30 | A kind of higher mathematics surface of revolution apparatus for demonstrating |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN208077463U true CN208077463U (en) | 2018-11-09 |
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Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201721300606.2U Active CN208077463U (en) | 2017-09-30 | 2017-09-30 | A kind of higher mathematics surface of revolution apparatus for demonstrating |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN208077463U (en) |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111243390A (en) * | 2020-03-04 | 2020-06-05 | 吉林师范大学 | Higher mathematics rotating curved surface demonstration device and demonstration method thereof |
| CN111554157A (en) * | 2020-05-07 | 2020-08-18 | 德州职业技术学院（德州市技师学院） | Higher mathematics rotating surface presentation device |
-
2017
- 2017-09-30 CN CN201721300606.2U patent/CN208077463U/en active Active
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111243390A (en) * | 2020-03-04 | 2020-06-05 | 吉林师范大学 | Higher mathematics rotating curved surface demonstration device and demonstration method thereof |
| CN111243390B (en) * | 2020-03-04 | 2022-02-25 | 吉林师范大学 | Higher mathematics rotating curved surface demonstration device and demonstration method thereof |
| CN111554157A (en) * | 2020-05-07 | 2020-08-18 | 德州职业技术学院（德州市技师学院） | Higher mathematics rotating surface presentation device |
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