CN203706511U - Hyperboloid explaining demonstration teaching aid - Google Patents
Hyperboloid explaining demonstration teaching aid Download PDFInfo
- Publication number
- CN203706511U CN203706511U CN201420104436.0U CN201420104436U CN203706511U CN 203706511 U CN203706511 U CN 203706511U CN 201420104436 U CN201420104436 U CN 201420104436U CN 203706511 U CN203706511 U CN 203706511U
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- China
- Prior art keywords
- hyperboloid
- sheets
- rotation axis
- bevel gear
- turning axle
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Abstract
The utility model relates to a higher mathematics explaining demonstration teaching aid, and discloses a hyperboloid explaining demonstration teaching aid for solving the problem of single demonstration form of a conventional demonstration teaching aid. In the hyperboloid explaining demonstration teaching aid, a uniparted hyperboloid rotation shaft is horizontally arranged on the output end of a uniparted hyperboloid rotation shaft; a first biparted hyperboloid rotation motor and a second biparted hyperboloid rotation motor are respectively arranged at the two ends of the uniparted hyperboloid rotation shaft; a first biparted hyperboloid rotation shaft and a second biparted hyperboloid rotation shaft are respectively provided with a first straight teeth cone gear assembly and a second straight teeth cone gear assembly; the first biparted hyperboloid rotation shaft and the second first biparted hyperboloid rotation shaft are respectively connected with the first straight teeth cone gear assembly and the second straight teeth cone gear assembly through a first support rod and a second support rod; and a first bus and a second bus are respectively connected with the first biparted hyperboloid rotation shaft and the second first biparted hyperboloid rotation shaft. The hyperboloid explaining demonstration teaching aid is used for higher mathematics teaching.
Description
Technical field
The utility model relates to a kind of higher mathematics explanation demonstration teaching aid, is specifically related to bi-curved explanation teaching aid in a kind of higher mathematics, belongs to teaching aid field.
Background technology
The curved surface that in higher mathematics, hyperbolic curve generates around its axis of symmetry rotation is hyperboloid.Hyperboloid is a kind of quadric surface.Be divided into the hyperboloid of one sheet, hyperboloid of two sheets and the hyperboloid of revolution.The hyperbolic curve of justing think, its real axis has comprised hyp two focuses, and the imaginary axis is the middle separated time of two focuses.Around real axis, rotate this hyperbolic curve, can obtain rotating hyperboloid of two sheets.Around the imaginary axis, rotate this hyperbolic curve, can obtain rotating the hyperboloid of one sheet., there is the problem that presentation format is single in the process that can only demonstrate the rotation hyperboloid of one sheet in existing higher mathematics surface of revolution demonstration teaching aid.
Utility model content
The purpose of this utility model is the process that can only demonstrate the rotation hyperboloid of one sheet in existing higher mathematics surface of revolution demonstration teaching aid in order to solve, has the problem that presentation format is single, and then a kind of hyperboloid explanation demonstration teaching aid is provided.
The technical solution of the utility model is: a kind of hyperboloid explanation demonstration teaching aid comprises base, described hyperboloid explanation teaching aid also comprises hyperboloid of one sheet electric rotating machine, hyperboloid of one sheet turning axle, the first hyperboloid of two sheets electric rotating machine, the second hyperboloid of two sheets electric rotating machine, the first hyperboloid of two sheets turning axle, the second hyperboloid of two sheets turning axle, the first spur bevel gear assembly, the second spur bevel gear assembly, the first support bar, the second support bar, the first hyperboloid of two sheets rotation axis, the second hyperboloid of two sheets rotation axis, the first bus and the second bus
Hyperboloid of one sheet electric rotating machine is fixedly installed on base, hyperboloid of one sheet turning axle is horizontally set on the output terminal of hyperboloid of one sheet electric rotating machine, the first hyperboloid of two sheets electric rotating machine and the second hyperboloid of two sheets electric rotating machine are separately positioned on the two ends of hyperboloid of one sheet turning axle, the first hyperboloid of two sheets turning axle and the second hyperboloid of two sheets turning axle are vertically arranged on respectively on the first hyperboloid of two sheets electric rotating machine and the second hyperboloid of two sheets electric rotating machine, on the first hyperboloid of two sheets turning axle and the second hyperboloid of two sheets turning axle, be respectively equipped with the first spur bevel gear assembly and the second spur bevel gear assembly, the first hyperboloid of two sheets rotation axis is connected with the first spur bevel gear assembly and the second spur bevel gear assembly with the second support bar by the first support bar respectively with the second hyperboloid of two sheets rotation axis, the first bus is connected with the first hyperboloid of two sheets rotation axis and the second hyperboloid of two sheets rotation axis respectively with the second bus.
Described the first hyperboloid of two sheets rotation axis and the second hyperboloid of two sheets rotation axis include transverse axis and vertical axes, and Horizontal-shaft vertical is also fixedly installed in vertical axes.
Described the first spur bevel gear assembly and the second spur bevel gear assembly include horizontal spur bevel gear and vertical spur bevel gear, horizontal spur bevel gear is arranged on the first hyperboloid of two sheets turning axle or the second hyperboloid of two sheets turning axle, and vertically spur bevel gear is arranged on the transverse axis of the first hyperboloid of two sheets rotation axis or the second hyperboloid of two sheets rotation axis.
One end of described the first support bar and the second support bar is fixedly connected with hyperboloid of one sheet turning axle, and the other end of the first support bar and the second support bar is rotatably connected with the transverse axis of the first hyperboloid of two sheets rotation axis and the second hyperboloid of two sheets rotation axis respectively.
Described hyperboloid explanation teaching aid also comprises many group expansion links, between the vertical axes of the first hyperboloid of two sheets rotation axis and the first bus, is connected by many group expansion links, between the second hyperboloid of two sheets rotation axis and the second bus, is connected by many group expansion links.
The utility model compared with prior art has following effect:
1. the utility model not only can be realized the process of the rotation hyperboloid of one sheet, but also can realize the process of rotating hyperboloid of two sheets, way of realization is various, has avoided the single problem of existing higher mathematics surface of revolution demonstration teaching aid presentation format, and its specific implementation form is:
The rotation hyperboloid of one sheet: start hyperboloid of one sheet electric rotating machine, hyperboloid of one sheet electric rotating machine drives the first bus and second bus of hyperboloid of one sheet turning axle both sides to be rotated along Z-direction, thus realize the rotation hyperboloid of one sheet;
Rotation hyperboloid of two sheets: start the first hyperboloid of two sheets electric rotating machine and the second hyperboloid of two sheets electric rotating machine, the first hyperboloid of two sheets electric rotating machine and the second hyperboloid of two sheets electric rotating machine drive the first hyperboloid of two sheets turning axle and the second hyperboloid of two sheets turning axle to rotate, by the first spur bevel gear assembly and the second spur bevel gear assembly, power is passed to the first hyperboloid of two sheets rotation axis and the second hyperboloid of two sheets rotation axis, the first hyperboloid of two sheets rotation axis and the second hyperboloid of two sheets rotation axis drive the first bus and the second bus to be rotated along X-direction, thereby realize rotation hyperboloid of two sheets.
Simple in structure, the convenient operation of the utility model, with low cost, easily manufacture.
Accompanying drawing explanation
Fig. 1 is structural representation of the present utility model.
Embodiment
Embodiment one: present embodiment is described in conjunction with Fig. 1, present embodiment comprises base 1, described hyperboloid explanation teaching aid also comprises hyperboloid of one sheet electric rotating machine 2, hyperboloid of one sheet turning axle 3, the first hyperboloid of two sheets electric rotating machine 4, the second hyperboloid of two sheets electric rotating machine 5, the first hyperboloid of two sheets turning axle 6, the second hyperboloid of two sheets turning axle 7, the first spur bevel gear assembly 8, the second spur bevel gear assembly 9, the first support bar 10, the second support bar 11, the first hyperboloid of two sheets rotation axis 12, the second hyperboloid of two sheets rotation axis 13, the first bus 14 and the second bus 15,
Hyperboloid of one sheet electric rotating machine 2 is fixedly installed on base 1, hyperboloid of one sheet turning axle 3 is horizontally set on the output terminal of hyperboloid of one sheet electric rotating machine 2, the first hyperboloid of two sheets electric rotating machine 4 and the second hyperboloid of two sheets electric rotating machine 5 are separately positioned on the two ends of hyperboloid of one sheet turning axle 3, the first hyperboloid of two sheets turning axle 6 and the second hyperboloid of two sheets turning axle 7 are vertically arranged on respectively on the first hyperboloid of two sheets electric rotating machine 4 and the second hyperboloid of two sheets electric rotating machine 5, on the first hyperboloid of two sheets turning axle 6 and the second hyperboloid of two sheets turning axle 7, be respectively equipped with the first spur bevel gear assembly 8 and the second spur bevel gear assembly 9, the first hyperboloid of two sheets rotation axis 12 is connected with the first spur bevel gear assembly 8 and the second spur bevel gear assembly 9 with the second support bar 11 by the first support bar 10 respectively with the second hyperboloid of two sheets rotation axis 13, the first bus 14 is connected with the first hyperboloid of two sheets rotation axis 12 and the second hyperboloid of two sheets rotation axis 13 respectively with the second bus 15.
As optimal way, the first hyperboloid of two sheets rotation axis 12 and the second hyperboloid of two sheets rotation axis 13 of present embodiment include transverse axis and vertical axes, and Horizontal-shaft vertical is also fixedly installed in vertical axes.Be convenient to drive bus to rotate around X-direction.
As optimal way, the first spur bevel gear assembly 8 of present embodiment and the second spur bevel gear assembly 9 include horizontal spur bevel gear 16 and vertical spur bevel gear 17, horizontal spur bevel gear 16 is arranged on the first hyperboloid of two sheets turning axle 6 or the second hyperboloid of two sheets turning axle 7, and vertically spur bevel gear 17 is arranged on the transverse axis of the first hyperboloid of two sheets rotation axis 12 or the second hyperboloid of two sheets rotation axis 13.Be convenient to realize the change of hyperboloid of two sheets sense of rotation.
As optimal way, the first support bar 10 of present embodiment and one end of the second support bar 11 are fixedly connected with hyperboloid of one sheet turning axle 3, and the other end of the first support bar 10 and the second support bar 11 is rotatably connected with the transverse axis of the first hyperboloid of two sheets rotation axis 12 and the second hyperboloid of two sheets rotation axis 13 respectively.Be connected firmly, guarantee carrying out smoothly of demonstration, effectively avoided rocking of first bus 14 and the second bus 15 in presentation process.
As optimal way, the hyperboloid explanation teaching aid of present embodiment also comprises many group expansion links 18, between the vertical axes of the first hyperboloid of two sheets rotation axis 12 and the first bus 14, be connected by many groups expansion link 18, between the second hyperboloid of two sheets rotation axis 13 and the second bus 15, be connected by many groups expansion link 18.Be convenient to adjust the shape of the first bus 14 and the second bus 15, demonstrate more flexible.
As optimal way, the first bus 14 of present embodiment and the second bus 15 are the iron wire of outside surface with bright-colored plastic tube.
As optimal way, the first bus 14 of present embodiment and the second bus 15 are connected by fixing clip, buckle or rope with organize between expansion links 18 more.Connected mode variation, convenient operation, simple in structure, with low cost.
The course of work of the present utility model is:
The rotation hyperboloid of one sheet: start hyperboloid of one sheet electric rotating machine, hyperboloid of one sheet electric rotating machine drives the first bus and second bus of hyperboloid of one sheet turning axle both sides to be rotated along Z-direction, thus realize the rotation hyperboloid of one sheet;
Rotation hyperboloid of two sheets: start the first hyperboloid of two sheets electric rotating machine and the second hyperboloid of two sheets electric rotating machine, the first hyperboloid of two sheets electric rotating machine and the second hyperboloid of two sheets electric rotating machine drive the first hyperboloid of two sheets turning axle and the second hyperboloid of two sheets turning axle to rotate, by the first spur bevel gear assembly and the second spur bevel gear assembly, power is passed to the first hyperboloid of two sheets rotation axis and the second hyperboloid of two sheets rotation axis, the first hyperboloid of two sheets rotation axis and the second hyperboloid of two sheets rotation axis drive the first bus and the second bus to be rotated along X-direction, thereby realize rotation hyperboloid of two sheets.
Claims (5)
1. a hyperboloid explanation demonstration teaching aid, it comprises base (1), it is characterized in that: described hyperboloid explanation teaching aid also comprises hyperboloid of one sheet electric rotating machine (2), hyperboloid of one sheet turning axle (3), the first hyperboloid of two sheets electric rotating machine (4), the second hyperboloid of two sheets electric rotating machine (5), the first hyperboloid of two sheets turning axle (6), the second hyperboloid of two sheets turning axle (7), the first spur bevel gear assembly (8), the second spur bevel gear assembly (9), the first support bar (10), the second support bar (11), the first hyperboloid of two sheets rotation axis (12), the second hyperboloid of two sheets rotation axis (13), the first bus (14) and the second bus (15),
Hyperboloid of one sheet electric rotating machine (2) is fixedly installed on base (1), hyperboloid of one sheet turning axle (3) is horizontally set on the output terminal of hyperboloid of one sheet electric rotating machine (2), the first hyperboloid of two sheets electric rotating machine (4) and the second hyperboloid of two sheets electric rotating machine (5) are separately positioned on the two ends of hyperboloid of one sheet turning axle (3), the first hyperboloid of two sheets turning axle (6) and the second hyperboloid of two sheets turning axle (7) are vertically arranged on respectively on the first hyperboloid of two sheets electric rotating machine (4) and the second hyperboloid of two sheets electric rotating machine (5), on the first hyperboloid of two sheets turning axle (6) and the second hyperboloid of two sheets turning axle (7), be respectively equipped with the first spur bevel gear assembly (8) and the second spur bevel gear assembly (9), the first hyperboloid of two sheets rotation axis (12) is connected with the first spur bevel gear assembly (8) and the second spur bevel gear assembly (9) with the second support bar (11) by the first support bar (10) respectively with the second hyperboloid of two sheets rotation axis (13), the first bus (14) is connected with the first hyperboloid of two sheets rotation axis (12) and the second hyperboloid of two sheets rotation axis (13) respectively with the second bus (15).
2. a kind of hyperboloid explanation demonstration teaching aid according to claim 1, it is characterized in that: described the first hyperboloid of two sheets rotation axis (12) and the second hyperboloid of two sheets rotation axis (13) include transverse axis and vertical axes, and Horizontal-shaft vertical is also fixedly installed in vertical axes.
3. a kind of hyperboloid explanation demonstration teaching aid according to claim 2, it is characterized in that: described the first spur bevel gear assembly (8) and the second spur bevel gear assembly (9) include horizontal spur bevel gear (16) and vertical spur bevel gear (17), horizontal spur bevel gear (16) is arranged on the first hyperboloid of two sheets turning axle (6) or the second hyperboloid of two sheets turning axle (7) is upper, and vertically spur bevel gear (17) is arranged on the transverse axis of the first hyperboloid of two sheets rotation axis (12) or the second hyperboloid of two sheets rotation axis (13).
4. a kind of hyperboloid explanation demonstration teaching aid according to claim 3, it is characterized in that: one end of described the first support bar (10) and the second support bar (11) is fixedly connected with hyperboloid of one sheet turning axle (3), the other end of the first support bar (10) and the second support bar (11) is rotatably connected with the transverse axis of the first hyperboloid of two sheets rotation axis (12) and the second hyperboloid of two sheets rotation axis (13) respectively.
5. according to a kind of hyperboloid explanation demonstration teaching aid described in claim 1 or 4, it is characterized in that: described hyperboloid explanation teaching aid also comprises many group expansion links (18), between the vertical axes of the first hyperboloid of two sheets rotation axis (12) and the first bus (14), be connected by many group expansion links (18), between the second hyperboloid of two sheets rotation axis (13) and the second bus (15), be connected by many group expansion links (18).
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201420104436.0U CN203706511U (en) | 2014-03-10 | 2014-03-10 | Hyperboloid explaining demonstration teaching aid |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201420104436.0U CN203706511U (en) | 2014-03-10 | 2014-03-10 | Hyperboloid explaining demonstration teaching aid |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN203706511U true CN203706511U (en) | 2014-07-09 |
Family
ID=51056915
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201420104436.0U Expired - Fee Related CN203706511U (en) | 2014-03-10 | 2014-03-10 | Hyperboloid explaining demonstration teaching aid |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN203706511U (en) |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108961947A (en) * | 2018-09-21 | 2018-12-07 | 安徽理工大学 | A kind of higher mathematics curved surface course teaching optimization method |
| RU2695943C1 (en) * | 2018-04-16 | 2019-07-29 | Федеральное государственное бюджетное образовательное учреждение высшего образования "Новосибирский государственный педагогический университет" | Quasi-hyperbola curvae scale of measurement |
-
2014
- 2014-03-10 CN CN201420104436.0U patent/CN203706511U/en not_active Expired - Fee Related
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| RU2695943C1 (en) * | 2018-04-16 | 2019-07-29 | Федеральное государственное бюджетное образовательное учреждение высшего образования "Новосибирский государственный педагогический университет" | Quasi-hyperbola curvae scale of measurement |
| CN108961947A (en) * | 2018-09-21 | 2018-12-07 | 安徽理工大学 | A kind of higher mathematics curved surface course teaching optimization method |
| CN108961947B (en) * | 2018-09-21 | 2020-07-24 | 安徽理工大学 | Advanced mathematics curved surface course teaching optimization method |
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Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C14 | Grant of patent or utility model | ||
| GR01 | Patent grant | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20140709 Termination date: 20150310 |
|
| EXPY | Termination of patent right or utility model |