CN109614574A - The implementation method of iteration in a kind of dynamic geometry software - Google Patents
The implementation method of iteration in a kind of dynamic geometry software Download PDFInfo
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- CN109614574A CN109614574A CN201811404650.7A CN201811404650A CN109614574A CN 109614574 A CN109614574 A CN 109614574A CN 201811404650 A CN201811404650 A CN 201811404650A CN 109614574 A CN109614574 A CN 109614574A
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Abstract
The present invention relates to a kind of implementation method of iteration in dynamic geometry software, the method is the following steps are included: according to user it needs to be determined that arbitrary point or arbitrary data are the rule of iteration of iteration entrance and many condition；It is pre-processed by iteration and realizes iterative process；Iterative data working process simultaneously generates complete iterative model.The present invention has the advantages that user is facilitated dynamically to observe the process of iteration layer variability, the perfect iteration of iteration Obj State and the iteration of iteration help to complete more complicated interesting iteration figures；It can support that iteration entrance is various, can control the display of iteration object to hide, support Dynamic iterations depth, support the iteration of iteration, support the attribute iteration of iteration picture, the depth of iteration that can pass through data dynamic regulation.
Description
Technical field
The present invention relates to a kind of geometric iteration method more particularly to a kind of implementation methods of dynamic geometry software iteration.
Background technique
Based on dynamic geometry software, it is mainly used for the Teaching Aid Software of the natural sciences such as mathematics, physics；Iteration therein is
One interesting function, be according to the process for having construction rule and carrying out the mapping mapping of repeated figure, can be with by iteration
Many complicated lively figures are made, such as " hook stock tree ", " Koch curve ", " Xie Erbinsiji triangle " etc., this teaches raising
Effect is learned, enhancing people have a very important role to the interest of science and technology.
Usually there are geometrical constraint sequence, setting iteration entrance, setting rule of iteration (are arranged existing iteration
The corresponding image of entrance), setting iteration depth, when user's confirming button, system process flow is as follows: (1) being entered according to iteration
Mouth and existing geometrical constraint sequence search the list for the geometric element that can be driven；(2) preimage position is recorded；(3) preimage is forced
It is moved to Image Location；(4) sequence of calculation that a step is searched is recalculated；(5) record can iteration Obj State geometry letter
Breath；(6) position of image is updated；(7) step 3-6 operation is repeated, until meeting iteration depth；(8) it is recorded according to c former
Preimage position is restored in image position, recalculates geometric element sequence, and iteration is completed.
But there is following defects for existing this iterative manner: (1) entrance of iteration is single, can only be free point or
Free data cause user possibly can not continue to use iteration on the basis of having mapping, and new mapping of attaching most importance to thus operates numerous
It is trivial；(2) it may participate in the object (point, line, polygon, circle) of iteration, similar this complicated type of iteration can not participate in second iteration；
(3) iteration depth is set as specific numerical value, can not dynamically modify, and can not dynamically show depth and change, iteration trace point
Layer variation；(4) object that may participate in iteration is all shown, not can control an object for display portion iteration, final
Iteration trace, which can generate, much not to be needed to see intermediate trace；(5) the display state of the object of iteration is not engaged in iteration, practical
In problem, the display properties of object may be subjected to the driving of data, for example color may be controlled by some data, and data occur
After variation, object color is also changed correspondingly, so it is with practical significance that the display state of object, which participates in iteration,；(6) it does not change
For stop condition, some practical problems, iteration depth is unpredictable, and user does not know iteration how many times, just stops, such as famous
Problem " Pod development ".The external manifestation of problem above substantially has: the software speed of service is slow, inefficiency, so that more
The figure iteration evolution of depth is difficult to realize, and further results in user experience variation, and teaching efficiency is had a greatly reduced quality.
Summary of the invention
The purpose of the present invention is to overcome the shortcomings of the existing technology, provides a kind of realization of iteration in dynamic geometry software
Method solves deficiency existing for existing alternative manner.
The purpose of the present invention is achieved through the following technical solutions: the implementation method of iteration in a kind of dynamic geometry software,
The method the following steps are included:
According to user it needs to be determined that arbitrary point or arbitrary data are the rule of iteration of iteration entrance and many condition；
It is pre-processed by iteration and realizes iterative process；
Iterative data working process simultaneously generates complete iterative model.
The rule of iteration includes the rule of iteration for increasing iteration termination condition.
In the determination iteration entrance and rule of iteration step, determining rule of iteration, specific step is as follows:
According to determining iteration entrance, the object sequence iterList that can participate in iteration is calculated；
Iteration outlet, stop condition stopCondition, iteration depth numExp are set and object in iterList is set and is shown
Show hiding rsHideList.
Iteration is pretreated, and specific step is as follows:
Driving sequence originChidren is calculated according to iteration entrance；
It records iteration entrance and drives the original state originStatus of element in sequence；
Calculate iteration depth num.
Described pre-processed by iteration realizes iterative process specific step is as follows:
The primary data iterData for generating iteration, completes an iteration；
Record object sequence iterList inside Obj State and be put into iterData, until meet iteration depth conditions or
Until person's iteration stopping condition；
Restore iteration entrance according to originStatus and drives the original state of element in sequence；
Recalculate the Obj State in driving sequence originChidren.
The iterative data working process and the step for generating iterative data working process in complete iterative model step
It suddenly include removing the data of corresponding element from iterData according to rsHideList sequence, while corresponding to the iteration that the inside includes
The data of object carry out sliding-model control again.
The sliding-model control includes the data that the data of iteration object are separated into simple object again.
The invention has the following advantages that in a kind of dynamic geometry software iteration implementation method, facilitate user dynamically to see
Examine the process of iteration layer variability, the perfect iteration of iteration Obj State and the iteration of iteration help to complete more multiple
Miscellaneous interesting iteration figure；It can support that iteration entrance is various, the display of iteration object can control to hide, support that Dynamic iterations are deep
Degree supports the iteration of iteration, supports the attribute iteration of iteration picture, the depth of iteration can be by data dynamic regulation, and then accelerates
The software speed of service improves operational efficiency, promotes user experience, and teaching efficiency is effectively enhanced.
Detailed description of the invention
Fig. 1 is flow chart of the invention.
Specific embodiment
The present invention will be further described with reference to the accompanying drawing, but protection scope of the present invention is not limited to following institute
It states.
As shown in Figure 1, in a kind of dynamic geometry software iteration implementation method, the method the following steps are included:
According to user it needs to be determined that arbitrary point or arbitrary data are the rule of iteration of iteration entrance and many condition；
It is pre-processed by iteration and realizes iterative process；
Iterative data working process simultaneously generates complete iterative model.
The rule of iteration includes the rule of iteration for increasing iteration termination condition.
Wherein, any point be one or more arbitrary point (semi-free point, free point, obligatory point), arbitrary data one
Or multiple arbitrary datas (free data, measurement data calculate data etc.).
In the determination iteration entrance and rule of iteration step, determining rule of iteration, specific step is as follows:
According to determining iteration entrance, the object sequence iterList that can participate in iteration is calculated；
Iteration outlet, stop condition stopCondition, iteration depth numExp are set and object in iterList is set and is shown
Show hiding rsHideList.
Iteration is pretreated, and specific step is as follows:
Driving sequence originChidren is calculated according to iteration entrance；
It records iteration entrance and drives the original state originStatus of element in sequence；
Calculate iteration depth num.
Described pre-processed by iteration realizes iterative process specific step is as follows:
The primary data iterData for generating iteration, completes an iteration；
Record object sequence iterList inside Obj State and be put into iterData, until meet iteration depth conditions or
Until person's iteration stopping condition；
Restore iteration entrance according to originStatus and drives the original state of element in sequence；
The iterative data working process and the step of generating iterative data working process in complete iterative model step wraps
Include the data for removing corresponding element from iterData according to rsHideList sequence, while the iteration object that corresponding the inside includes
Data carry out sliding-model control again.
The sliding-model control includes that the data of iteration object are separated into simple object (point, line, circle etc.) again
Data.
Wherein, object type: geometric object type is broadly divided into a little in dynamic geometry software, data, line, circle, polygon,
Curve, several big types such as iteration, midpoint can be divided into free point (point that can arbitrarily drag), obligatory point (constrained relationship system
Point about, such as midpoint, intersection point), data can be divided into free data (data of unfettered relationship limitation), bound data (and divide
It for measurement data, and calculating data, is driven by data or other relationships).
Obj State: in dynamic geometry software Obj State include geometry state (in such as two-dimensional situation, the geometry shape of point
State is (x, y) coordinate), display state (color, filling, show hidden etc.).
Geometrical constraint sequence: the relational sequence in dynamic geometry software between object, as in a line segment and this line segment
Point, there are the constraint relationships at a midpoint.Preimage collection: the initial object of sequence of iterations, that is, iteration mentioned herein are generated
Entrance.Image collection: preimage by a series of images for converting obtained geometric object and being known as preimage, that is, it is mentioned herein repeatedly
Generation outlet.Rule of iteration: the process that preimage changes to image is known as the preimage to the rule of iteration of image.Iteration depth: from original
The number executed as the iterative calculation to image.Iteration stopping condition: every completion an iteration judges whether to meet iteration stopping
Condition is unsatisfactory for if it is satisfied, stopping iteration in advance, then continues iteration.
The above is only a preferred embodiment of the present invention, it should be understood that the present invention is not limited to described herein
Form should not be regarded as an exclusion of other examples, and can be used for other combinations, modifications, and environments, and can be at this
In the text contemplated scope, modifications can be made through the above teachings or related fields of technology or knowledge.And those skilled in the art institute into
Capable modifications and changes do not depart from the spirit and scope of the present invention, then all should be in the protection scope of appended claims of the present invention
It is interior.
Claims (7)
1. the implementation method of iteration in a kind of dynamic geometry software, it is characterised in that: the method the following steps are included:
According to user it needs to be determined that arbitrary point or arbitrary data are the rule of iteration of iteration entrance and many condition；
It is pre-processed by iteration and realizes iterative process；
Iterative data working process simultaneously generates complete iterative model.
2. the implementation method of iteration in a kind of dynamic geometry software according to claim 1, it is characterised in that: described is more
The rule of iteration of condition includes the rule of iteration for increasing iteration termination condition.
3. the implementation method of iteration in a kind of dynamic geometry software according to claim 1, it is characterised in that: it is described really
Determine in iteration entrance and rule of iteration step, determining rule of iteration, specific step is as follows:
According to determining iteration entrance, the object sequence iterList that can participate in iteration is calculated；
Iteration outlet, stop condition stopCondition, iteration depth numExp are set and object in iterList is set and is shown
Show hiding rsHideList.
4. the implementation method of iteration in a kind of dynamic geometry software according to claim 1, it is characterised in that: iteration is located in advance
Specific step is as follows for reason:
Driving sequence originChidren is calculated according to iteration entrance；
It records iteration entrance and drives the original state originStatus of element in sequence；
Calculate iteration depth num.
5. the implementation method of iteration in a kind of dynamic geometry software according to claim 1, it is characterised in that: described is logical
Crossing iteration pretreatment realization iterative process, specific step is as follows:
The primary data iterData for generating iteration, completes an iteration；
Record object sequence iterList inside Obj State and be put into iterData, until meet iteration depth conditions or
Until person's iteration stopping condition；
Restore iteration entrance according to originStatus and drives the original state of element in sequence.
6. the implementation method of iteration in a kind of dynamic geometry software according to claim 1, it is characterised in that: described changes
Codes or data working process and the step of generating iterative data working process in complete iterative model step includes basis
RsHideList sequence removes the data of corresponding element from iterData, while corresponding to the data for the iteration object that the inside includes
Sliding-model control is carried out again.
7. the implementation method of iteration in a kind of dynamic geometry software according to claim 6, it is characterised in that: it is described from
Dispersion processing includes the data that the data of iteration object are separated into simple object again.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110795193A (en) * | 2019-10-30 | 2020-02-14 | 成都景中教育软件有限公司 | Method for realizing graph degradation in dynamic geometric software |
Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102222353A (en) * | 2011-05-24 | 2011-10-19 | 南京信息工程大学 | Curve drawing method based on secondary B spline iteration |
| CN103514629A (en) * | 2012-06-22 | 2014-01-15 | 密执安大学评议会 | Method and apparatus for iterative reconstruction |
| CN105608144A (en) * | 2015-12-17 | 2016-05-25 | 山东鲁能软件技术有限公司 | Big data analysis platform device and method based on multilayer model iteration |
| CN107797852A (en) * | 2016-09-06 | 2018-03-13 | 阿里巴巴集团控股有限公司 | The processing unit and processing method of data iteration |
-
2018
- 2018-11-23 CN CN201811404650.7A patent/CN109614574A/en not_active Withdrawn
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102222353A (en) * | 2011-05-24 | 2011-10-19 | 南京信息工程大学 | Curve drawing method based on secondary B spline iteration |
| CN103514629A (en) * | 2012-06-22 | 2014-01-15 | 密执安大学评议会 | Method and apparatus for iterative reconstruction |
| CN105608144A (en) * | 2015-12-17 | 2016-05-25 | 山东鲁能软件技术有限公司 | Big data analysis platform device and method based on multilayer model iteration |
| CN107797852A (en) * | 2016-09-06 | 2018-03-13 | 阿里巴巴集团控股有限公司 | The processing unit and processing method of data iteration |
Non-Patent Citations (1)
| Title |
|---|
| 苏强: "基于几何画板研究数学分析中的近似计算问题", 《淮海工学院学报(自然科学版)》 * |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110795193A (en) * | 2019-10-30 | 2020-02-14 | 成都景中教育软件有限公司 | Method for realizing graph degradation in dynamic geometric software |
| CN110795193B (en) * | 2019-10-30 | 2023-03-21 | 成都景中教育软件有限公司 | Method for realizing graph degradation in dynamic geometric software |
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