CN107993530A - A kind of coordinate conversion presentation teaching aid - Google Patents
A kind of coordinate conversion presentation teaching aid Download PDFInfo
- Publication number
- CN107993530A CN107993530A CN201810054638.1A CN201810054638A CN107993530A CN 107993530 A CN107993530 A CN 107993530A CN 201810054638 A CN201810054638 A CN 201810054638A CN 107993530 A CN107993530 A CN 107993530A
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- coordinate
- connecting rod
- universal joint
- teaching aid
- magnet
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- 238000006243 chemical reaction Methods 0.000 title claims abstract description 23
- XEEYBQQBJWHFJM-UHFFFAOYSA-N Iron Chemical compound [Fe] XEEYBQQBJWHFJM-UHFFFAOYSA-N 0.000 claims abstract description 30
- 229910052742 iron Inorganic materials 0.000 claims abstract description 15
- 241000272525 Anas platyrhynchos Species 0.000 claims abstract description 13
- 238000010521 absorption reaction Methods 0.000 claims abstract description 4
- 238000003780 insertion Methods 0.000 claims abstract description 4
- 230000037431 insertion Effects 0.000 claims abstract description 4
- 238000012546 transfer Methods 0.000 abstract description 3
- PMVSDNDAUGGCCE-TYYBGVCCSA-L Ferrous fumarate Chemical compound [Fe+2].[O-]C(=O)\C=C\C([O-])=O PMVSDNDAUGGCCE-TYYBGVCCSA-L 0.000 abstract 1
- 238000000034 method Methods 0.000 description 4
- 238000004088 simulation Methods 0.000 description 2
- 238000011426 transformation method Methods 0.000 description 2
- 230000007704 transition Effects 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 238000011835 investigation Methods 0.000 description 1
- 238000013507 mapping Methods 0.000 description 1
- 239000002689 soil Substances 0.000 description 1
Classifications
-
- G—PHYSICS
- G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
- 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
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- General Physics & Mathematics (AREA)
- Physics & Mathematics (AREA)
- Pure & Applied Mathematics (AREA)
- Mathematical Analysis (AREA)
- Mathematical Optimization (AREA)
- Mathematical Physics (AREA)
- Computational Mathematics (AREA)
- Engineering & Computer Science (AREA)
- Algebra (AREA)
- Business, Economics & Management (AREA)
- Educational Administration (AREA)
- Educational Technology (AREA)
- Theoretical Computer Science (AREA)
- Processing Or Creating Images (AREA)
Abstract
The present invention discloses a kind of coordinate conversion presentation teaching aid, one three-dimensional system of coordinate is fixedly connected with by universal joint in the left end of connecting rod, a magnet is fixedly connected with the right end of connecting rod, Arbitrary Rotation is done in the absorption of one iron ball on magnet, three are opened on the iron ball according to the orthogonal duck eye of three-dimensional system of coordinate shaft position, three coordinate axostylus axostyles B1B0, B2B0, in B3B0 insertion duck eyes, coordinate axostylus axostyle can rotate in duck eye.The two spaces three-dimensional coordinate of offer is provided, free Space Rotating, to reach the parallel completion coordinate transform of three axis of two sets of three-dimensional coordinates, the device is simple, principle understands, it is easy to carry, it is suitable for the student that the study coordinate such as all staff changed using coordinate and college is changed and carries out coordinate transfer principle demonstration.
Description
Technical field
The present invention relates to a kind of coordinate conversion presentation teaching aid, belongs to coordinate switch technology field.
Background technology
With the extensive use of surveying and mapping result, in house property Immovable Property Registration, soil generaI investigation, geological prospecting, civil engineering etc.
Field is intended to be applied to control point achievement, i.e., all may relate to the conversion of control point achievement under different coordinates, make to all
For the student that the staff changed with coordinate and the study coordinate such as college are changed, can clearly, simply by coordinate
Conversion demonstration is out highly desirable.
Through retrieval, China Patent No. CN201610970481.8, patent filing date is on October 28th, 2016, invention wound
Make entitled：A kind of coordinate transformation method and device, this application discloses a kind of coordinate transformation method and device, this method bag
Include：The pixel coordinate of point to be converted in 2 d plane picture to be converted is mapped on panorama sphere, generates panoramic scene；Will be complete
The three-dimensional system of coordinate of scape scene is converted to angle coordinate system；According to the longitude and latitude between point to be converted and the central point of panorama sphere
Relativeness calculates the relative angular relationship between the central point of point and panorama sphere to be converted；According to point to be converted and panorama
Relative angular relationship and angle coordinate system between the central point of sphere generate to the inverse conversion relation of three-dimensional system of coordinate and wait to turn
D coordinates value a little is changed, completes the two-dimensional coordinate of point to be converted to the conversion of three-dimensional coordinate.By the above method, longitude and latitude is utilized
Any point in space is mapped in angle coordinate system by degree and height, passes through the strong pass between panoramic table and two-dimensional map
Connection, realizes conversion of the two-dimensional coordinate to three-dimensional coordinate.
Through retrieval, China Patent No. CN201510591266.2, patent filing date is September in 2015 16 days, invention wound
Make entitled：A kind of three-dimensional coordinate conversion method and system, this application discloses a kind of three-dimensional coordinate conversion method, including：
Receive the initial three-dimensional coordinate that user terminal is sent；The initial three-dimensional coordinate includes original plane coordinate and original elevation；One by one
Each coordinate transition region is chosen, calculates vector angle and line P0Pn rotations that line P0Pi rotates to line P0Pi+1 respectively
To the vector angle of line P0P1, turn corresponding to the coordinate transition region that the angle after summation is in the range of predetermined angle
Change conversion parameter of the parameter as the original plane coordinate；The original plane coordinate is changed as purpose plane coordinates；Will
The original elevation is changed as purpose elevation；The purpose plane coordinates and the purpose elevation are fed back into the user terminal.
The content of the invention
Present invention is primarily aimed at providing a kind of teaching aid for the simulation of three-dimensional coordinate conversion demonstration.Two skies
Between three-dimensional coordinate, rotated freely by space, at most around the rotation of three reference axis, angle just can realize that two sets three-dimensional are sat three times
Parallel, then the position by mobile two sets of reference axis origins of parameter, realizes the coincidence of two sets of coordinate systems（Ignore two sets of coordinates
System scale coefficient）, which is simply easy to carry about with one, it is clear to operate, be suitable for all staff changed using coordinate with
And the student of the study coordinate conversion such as college carries out coordinate transfer principle demonstration.
To achieve these goals, the present invention adopts the following technical scheme that：A kind of coordinate conversion presentation teaching aid, including even
Bar, universal joint, magnet, iron ball, wherein, one three-dimensional system of coordinate is fixedly connected with by universal joint in the left end of connecting rod, in connecting rod
Right end be fixedly connected with a magnet, Arbitrary Rotation is done in iron ball absorption on magnet, and three are opened on the iron ball according to three
The orthogonal duck eye of dimension coordinate system shaft position, three coordinate axostylus axostyle B1B0, in B2B0, B3B0 insertion duck eyes, coordinate axostylus axostyle exists
It can be rotated in duck eye.
The connecting rod is telescopic rod.The three-dimensional system of coordinate A1A0 that the left end of the connecting rod is fixedly connected by universal joint,
A2A0, A3A0 are mutually perpendicular to, and are overall structure, by universal joint unitary rotation, own by universal joint frictionally secures angle.
The flexible clamp in duck eye hole, coordinate axostylus axostyle bottom is fluted, and coordinate axostylus axostyle is rotatable after being inserted into and does not fall
Go out.
Beneficial effect of the present invention：The present invention provides a kind of teaching aid for the simulation of three-dimensional coordinate conversion demonstration.Pass through
The two spaces three-dimensional coordinate of offer, free Space Rotating, is become with reaching the parallel coordinate of completing of three axis of two sets of three-dimensional coordinates
Change, the device is simple, principle understands, easy to carry, is suitable for all staff changed using coordinate and college etc.
The student for learning coordinate conversion carries out coordinate transfer principle demonstration.
Brief description of the drawings
Fig. 1 is schematic structural view of the invention
Wherein：1st, connecting rod；2nd, magnet；3rd, universal joint；4th, iron ball.
Embodiment
The innovative point of the present invention is any direction rotation of used iron ball, and absorption, which is connected on magnet, completes angle change
Change, the most strong surface contact iron ball of magnet poles, magnet is rectangle in the present embodiment, and short side plane contact iron ball, ensures magnetic
It is most strong.
There are two mutually perpendicular rectangular space coordinates in this demonstrating model, often cover rectangular space coordinate respectively by three
A orthogonal bar（Referred to as " axis "）Composition, and interfix, three axis of other set rectangular space coordinate are rotated successively,
To realize being parallel to each other for two sets of reference axis.During rotation, the direction of fixed wherein some axis is motionless, while rotates two other
Axis, fixes two other axis again successively, rotates other two axis in rectangular co-ordinate, that is, realize two sets three times by rotating
Rectangular axes are parallel to each other.Finally the complete weight of two sets of coordinates is realized by translating wherein a set of coordinate or two sets of coordinates again
Close（Ignore the dimension scale of two sets of coordinates）
Embodiment 1：A kind of coordinate conversion presentation teaching aid, including connecting rod, universal joint, magnet, iron ball, pass through in the left end of connecting rod 1
Universal joint 3 is fixedly connected with a three-dimensional system of coordinate, is fixedly connected with a magnet 2 in the right end of connecting rod, an iron ball 4 is adsorbed on magnet
Arbitrary Rotation is done, three are opened on the iron ball according to the orthogonal duck eye of three-dimensional system of coordinate shaft position, three reference axis
In bar B1B0, B2B0, B3B0 insertion duck eye, the flexible clamp in duck eye hole, coordinate axostylus axostyle bottom is fluted,（Schematic diagram
It is not drawn into）Coordinate axostylus axostyle is rotatable after being inserted into and does not drop out.Coordinate axostylus axostyle can be extracted when usually storage by lower clip.
The connecting rod is telescopic rod, in three-dimensional system of coordinate A1A0, the A2A0 that the left end of connecting rod is fixedly connected by universal joint,
A3A0 is mutually perpendicular to, and is overall structure, and by universal joint unitary rotation, own by universal joint frictionally secures angle controlling
First coordinate system angle.
It is mutually perpendicular to for second coordinate system A0A1, A0A2, A0A3.With reference to first coordinate system, A0A1 side is first held
To axis, A0A2 or A0A3 is rotated around A0A1 axis, holds A0A2 axis of orientations again on this basis, rotates A0A1 or A0A3, finally
A0A3 axis of orientations are held again, and rotation A0A1 or A0A2 obtains the coordinate system identical with first co-ordinate system location, completes coordinate and turns
Change.
After conversion, connecting rod 1 is retracted to minimum position, makes two coordinate systems at a distance of most short, or can directly by
Iron ball is taken from magnet, moves to other coordinate system, convenient contrast.
Claims (4)
1. a kind of coordinate conversion presentation teaching aid, including connecting rod, universal joint, magnet, iron ball, it is characterised in that in connecting rod（1）A left side
End passes through universal joint（3）A three-dimensional system of coordinate is fixedly connected with, a magnet is fixedly connected with the right end of connecting rod（2）, an iron ball（4）
Arbitrary Rotation is done in absorption on magnet, is opened on the iron ball three orthogonal small according to three-dimensional system of coordinate shaft position
Hole, three coordinate axostylus axostyle B1B0, in B2B0, B3B0 insertion duck eyes, coordinate axostylus axostyle can rotate in duck eye.
2. a kind of coordinate conversion presentation teaching aid according to claim 1, it is characterized in that, the connecting rod is telescopic rod.
3. a kind of coordinate conversion presentation teaching aid according to claim 1, the left end of the connecting rod is fixed by universal joint to be connected
The three-dimensional system of coordinate A1A0 connect, A2A0, A3A0 are mutually perpendicular to, and are overall structure, by universal joint unitary rotation, by universal joint
It is own to frictionally secure angle.
4. a kind of coordinate conversion presentation teaching aid according to claim 1, it is characterized in that, the flexible card in duck eye hole
Son, coordinate axostylus axostyle bottom is fluted, and coordinate axostylus axostyle is rotatable after being inserted into and does not drop out.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201810054638.1A CN107993530A (en) | 2018-01-19 | 2018-01-19 | A kind of coordinate conversion presentation teaching aid |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201810054638.1A CN107993530A (en) | 2018-01-19 | 2018-01-19 | A kind of coordinate conversion presentation teaching aid |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN107993530A true CN107993530A (en) | 2018-05-04 |
Family
ID=62041227
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| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201810054638.1A Pending CN107993530A (en) | 2018-01-19 | 2018-01-19 | A kind of coordinate conversion presentation teaching aid |
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| Country | Link |
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| CN (1) | CN107993530A (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110542379A (en) * | 2019-10-14 | 2019-12-06 | 北京建筑大学 | method and device for coordinate conversion |
Citations (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2006301991A (en) * | 2005-04-21 | 2006-11-02 | Pulstec Industrial Co Ltd | Correction method of coordinate transformation function |
| CN105577868A (en) * | 2016-02-23 | 2016-05-11 | 高遵胜 | Mobile device bracket |
| CN105627993A (en) * | 2014-01-13 | 2016-06-01 | 陈强 | Experiment system based on traffic accident scene photography surveying principle |
| CN205407928U (en) * | 2016-02-23 | 2016-07-27 | 张平 | Rotatable vehicle mobile phone support of formula is inhaled to magnetism |
| CN205487003U (en) * | 2016-02-24 | 2016-08-17 | 陈玉珍 | Vectorial presentation device is used to mathematical education |
| CN205769059U (en) * | 2016-06-08 | 2016-12-07 | 张松坤 | Mobile phone perfume rotary fixed bracket |
| CN206470990U (en) * | 2016-12-09 | 2017-09-05 | 李国栋 | A kind of teaching aid for demonstrating multi-coordinate relation |
| CN206685008U (en) * | 2017-03-31 | 2017-11-28 | 湖南高速铁路职业技术学院 | A kind of several teaching apparatus for demonstrating |
| CN207818026U (en) * | 2018-01-19 | 2018-09-04 | 华北理工大学 | A kind of coordinate conversion presentation teaching aid |
-
2018
- 2018-01-19 CN CN201810054638.1A patent/CN107993530A/en active Pending
Patent Citations (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2006301991A (en) * | 2005-04-21 | 2006-11-02 | Pulstec Industrial Co Ltd | Correction method of coordinate transformation function |
| CN105627993A (en) * | 2014-01-13 | 2016-06-01 | 陈强 | Experiment system based on traffic accident scene photography surveying principle |
| CN105577868A (en) * | 2016-02-23 | 2016-05-11 | 高遵胜 | Mobile device bracket |
| CN205407928U (en) * | 2016-02-23 | 2016-07-27 | 张平 | Rotatable vehicle mobile phone support of formula is inhaled to magnetism |
| CN205487003U (en) * | 2016-02-24 | 2016-08-17 | 陈玉珍 | Vectorial presentation device is used to mathematical education |
| CN205769059U (en) * | 2016-06-08 | 2016-12-07 | 张松坤 | Mobile phone perfume rotary fixed bracket |
| CN206470990U (en) * | 2016-12-09 | 2017-09-05 | 李国栋 | A kind of teaching aid for demonstrating multi-coordinate relation |
| CN206685008U (en) * | 2017-03-31 | 2017-11-28 | 湖南高速铁路职业技术学院 | A kind of several teaching apparatus for demonstrating |
| CN207818026U (en) * | 2018-01-19 | 2018-09-04 | 华北理工大学 | A kind of coordinate conversion presentation teaching aid |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN110542379A (en) * | 2019-10-14 | 2019-12-06 | 北京建筑大学 | method and device for coordinate conversion |
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Application publication date: 20180504 |
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