CN202049640U - Demonstration instrument for corresponding relation between polar coordinate and rectangular coordinate - Google Patents
Demonstration instrument for corresponding relation between polar coordinate and rectangular coordinate Download PDFInfo
- Publication number
- CN202049640U CN202049640U CN2011201063531U CN201120106353U CN202049640U CN 202049640 U CN202049640 U CN 202049640U CN 2011201063531 U CN2011201063531 U CN 2011201063531U CN 201120106353 U CN201120106353 U CN 201120106353U CN 202049640 U CN202049640 U CN 202049640U
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- axis
- polar
- rotating shaft
- corresponding relation
- rectangular coordinate
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Abstract
A demonstration instrument for corresponding relation between a polar coordinate and a rectangular coordinate comprises a semicircle body (1), an X axis (3) and a Y axis (4), wherein an angle scale (12) are arranged on the semicircle body (1), diameter of the semicircle body (1) is the X axis (3), a radius of the semicircle body (1), which is vertical to the X axis (3) at the center point of the semicircle body (1), is the Y axis (4), and rectangular coordinate scales (33) are arranged on the X axis (3) and the Y axis (4). The demonstration instrument also comprises a polar axis (2), wherein a polar radius scale (25) is arranged on the polar axis (2), a chute (24) is arranged on the polar axis (2) along the axial direction, a pointer (22) is arranged in the chute (24), the pointer (22) is connected with the polar axis (2) via a rotating shaft (21), a center rotating shaft (23) is arranged at a center point of the semicircle body (1), and the polar axis (2) is connected with the semicircle body (1) via the center rotating shaft (23). The demonstration instrument can visually display the corresponding relation between the two coordinate systems. Besides, the demonstration instrument is simple, convenient and visual.
Description
Technical field
The utility model relates to a kind of mathematical education apparatus, is specifically related to a kind of tell about polar coordinates and rectangular coordinate corresponding relation demonstrator in the polar coordinates.
Background technology
In the relevant polar teaching of mathematics, stranger for the student's ratio of first this coordinate system of contact, could grasp with the comparison that rectangular coordinate system is carried out repeatedly, thereby need constantly repeat picture rectangular coordinate system and polar coordinate system, not only bother, and because static coordinate system is not directly perceived inadequately.
The utility model content
The purpose of this utility model is at existing not enough, and a kind of simple, convenient, polar coordinates and rectangular coordinate corresponding relation demonstrator intuitively are provided.
The purpose of this utility model realizes by following technological means: comprise semicircular body, X-axis, Y-axis, angle index is arranged on semicircular body, and the diameter of semicircular body is an X-axis, and semicircular body is a Y-axis at the centre point radius vertical with X-axis, the rectangular coordinate scale is arranged on X-axis, the Y-axis, also comprise pole axis, utmost point footpath scale is arranged on the pole axis, pole axis is provided with chute vertically, pointer is arranged in the chute, pointer connects pole axis by rotating shaft, and the centre point of semicircular body is provided with center of circle rotating shaft, and pole axis connects semicircular body by center of circle rotating shaft.
Compared with prior art the utlity model has following tangible advantage: the pole axis in polar coordinates and the rectangular coordinate corresponding relation demonstrator can rotate, when rotating to certain angle, read the angle and utmost point footpath scale, utilize pointer can indicate the corresponding X-axis and the coordinate of Y-axis, demonstrate the corresponding relation of two coordinate systems intuitively, simple, convenient, directly perceived.
Description of drawings
Fig. 1 is a structural representation of the present utility model;
Among the figure, 1-semicircular body, 2-pole axis, 3-X axle, 4-Y axle, 12-angle index, 21-rotating shaft, 22-pointer, the rotating shaft of the 23-center of circle, 24-chute, 25-utmost point footpath scale, 33-rectangular coordinate scale.
Embodiment
Below in conjunction with description of drawings and embodiment the utility model is described in further detail:
Polar coordinates as shown in Figure 1 and rectangular coordinate corresponding relation demonstrator comprise semicircular body 1, its diameter is as X-axis 3, by the centre point radius vertical with diameter is Y-axis 4, angle index 12 is arranged on semicircular body 1, on X-axis 3, Y-axis 4, rectangular coordinate scale 33 is arranged, the centre point of semicircular body 1 is provided with center of circle rotating shaft 23, comprising in addition can be around the pole axis 2 of center of circle rotating shaft 23 rotations, utmost point footpath scale 25 is arranged on the pole axis 2, pole axis 2 is provided with chute 24 vertically, pointer 22 is arranged in the chute 24, and pointer 22 can connect pole axis 2 by rotating shaft 21.
In a word, the utility model provides a kind of simple, convenient, polar coordinates and rectangular coordinate corresponding relation demonstrator intuitively.The above; it only is a part of embodiment of the present utility model; protection domain of the present utility model is not limited thereto; anyly be familiar with those skilled in the art in the technical scope that the utility model discloses; the variation that can expect easily or replacement all should be encompassed within the protection domain of the present utility model.
Claims (1)
1. polar coordinates and rectangular coordinate corresponding relation demonstrator, comprise semicircular body (1), X-axis (3), Y-axis (4), angle index (12) is arranged on semicircular body (1), the diameter of semicircular body (1) is X-axis (3), semicircular body (1) is a Y-axis (4) at the centre point radius vertical with X-axis (3), X-axis (3), rectangular coordinate scale (33) is arranged on the Y-axis (4), it is characterized in that: also comprise pole axis (2), utmost point footpath scale (25) is arranged on the pole axis (2), pole axis (2) is provided with chute (24) vertically, pointer (22) is arranged in the chute (24), pointer (22) connects pole axis (2) by rotating shaft (21), the centre point of semicircular body (1) is provided with center of circle rotating shaft (23), and pole axis (2) connects semicircular body (1) by center of circle rotating shaft (23).
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN2011201063531U CN202049640U (en) | 2011-03-31 | 2011-03-31 | Demonstration instrument for corresponding relation between polar coordinate and rectangular coordinate |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN2011201063531U CN202049640U (en) | 2011-03-31 | 2011-03-31 | Demonstration instrument for corresponding relation between polar coordinate and rectangular coordinate |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN202049640U true CN202049640U (en) | 2011-11-23 |
Family
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Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN2011201063531U Expired - Fee Related CN202049640U (en) | 2011-03-31 | 2011-03-31 | Demonstration instrument for corresponding relation between polar coordinate and rectangular coordinate |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN202049640U (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO2021139839A3 (en) * | 2021-04-09 | 2022-02-24 | 郑州航空工业管理学院 | Demonstration system for high-level mathematical parametric equations and polar coordinates equations |
-
2011
- 2011-03-31 CN CN2011201063531U patent/CN202049640U/en not_active Expired - Fee Related
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO2021139839A3 (en) * | 2021-04-09 | 2022-02-24 | 郑州航空工业管理学院 | Demonstration system for high-level mathematical parametric equations and polar coordinates equations |
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Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C14 | Grant of patent or utility model | ||
| GR01 | Patent grant | ||
| C17 | Cessation of patent right | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20111123 Termination date: 20120331 |