CN106652582A - Geometric experiment and learning platform and method - Google Patents
Geometric experiment and learning platform and method Download PDFInfo
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- CN106652582A CN106652582A CN201611182895.0A CN201611182895A CN106652582A CN 106652582 A CN106652582 A CN 106652582A CN 201611182895 A CN201611182895 A CN 201611182895A CN 106652582 A CN106652582 A CN 106652582A
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- 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
- G09B5/00—Electrically-operated educational appliances
- G09B5/02—Electrically-operated educational appliances with visual presentation of the material to be studied, e.g. using film strip
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Abstract
The invention discloses a geometric experiment and learning platform, comprising an input module, a calculation module, a storage module and a display module, wherein the parameter input end of the calculation module is connected with an input unit, the data end of the calculation module is in two-way connection with a storage unit, and the image output end of the calculation module is connected with a display unit. A geometric experiment and learning method comprises: an input step, comprising parameter input, drawing input and template input; a calculation step: calculating parameters; a display step: displaying parameters for drawing a graph; and a storage step: storing the drawn graph in a template library unit or a graph storage unit. By using a geometric drawing board, students can better learn geometric models and verify relevant geometric problems and principles, mastering of students on relevant knowledge is strengthened, the interest of students about learning geometry is cultivated, the learning efficiency of students is improved, and the problem that the geometry is difficult to learn is radically solved.
Description
Technical field
The present invention relates to geometry experiment and geometric construction field, more particularly to a kind of geometry experiment and learning platform and side
Method.
Background technology
With going deep into for reform in math teaching, strengthen quality-oriented education, it is the task of top priority to come into fresh course, but Junior High School Geometry one
It is directly weak link.Junior middle school student's study geometry has many difficult points.Therefore, geometry attainment is improved, it appears more important.
Junior High School Geometry by logicality in combination with intuitive, by productive life in actual geometrical model, take out mathematics
Geometrical concept on teaching material, is a big characteristic of nine-year compulsory education teaching material.Therefore, student elder generation should be as much as possible allowed in teaching
Observation geometrical model, forms perceptual knowledge, on this basis, then provides mathematical name, draws mathematic graph, defines figure, grinds
Study carefully property, but time in classroom is limited, and students ' actual situation understands that the effect for absorbing varies with each individual again, and cannot meet student resource
The needs of habit, so needing a kind of experiment with geometry to be used to realize aiding in student's understanding checking geometry with learning platform and method
Knowledge, training student learns the interest of geometry, improves the learning efficiency of student, fundamentally solves the problems, such as that geometry is difficult.
The content of the invention
It is an object of the invention to overcome the deficiencies in the prior art, there is provided a kind of geometry experiment and learning platform.
The purpose of the present invention is achieved through the following technical solutions：A kind of geometry experiment and learning platform, are input into mould
Block, computing module, storage module and display module, the described parameter input end of computing module and being connected for input block, institute
The data terminal of the computing module stated is bi-directionally connected with storage element, the output end of image and display unit phase of described computing module
Even.
Described input module includes keyboard, mouse and touch screen.
Described storage module includes template storage unit and graphic storage unit, and described template library unit is used to deposit
Drawing template, described graphic storage unit is used for the figure that storage is completed.
Connected by wired or wireless mode between described computing module and input module.
Connected by wired or wireless mode between described computing module and display module.
Described method includes：
Input step：Including parameter input, draw input and template input；
Calculation procedure：Calculating parameter；
Step display：Show the parameter of graphing；
Storing step：The figure of drafting is stored in into template library unit or graphic storage unit.
Described drafting input includes mouse action and touch operation method；
Described mouse operation method is pressed including left button length, and right button length is pressed, and right button is clicked and mouse-over；
Described touch operation method is pressed including single-point length, and single-point is double-clicked, and single-point is clicked and double finger slides；
Described left button length by with single-point length by being used for：Choose and drag simultaneously display image parameter；
Right button length is used for by double-clicking with single-point：Multiple end points are connected two-by-two and constitute line segment, a plurality of line segment is connected and constitutes figure；
Left button click with single-point click for：One or more end points are drawn in drawing area；
Mouse-over and the slip of double fingers are used for：Display parameters and modification parameter.
Described drafting input includes：S1. single left button mouse click or single-point is clicked and carried out on touch screen in a coordinate system
Draw end points；
S2. repeat upper step, make multiple points and calculate and record endpoint parameter successively；
S3. right button length is pressed or single-point is double-clicked, and multiple points are sequentially connected into composition line segment, calculates and record line segment parameter, then by line
Section connects and composes figure, calculates and record graphic parameter；
S4. by left mouse button length by/touch screen single-point length by the end points that constitutes figure being chosen and be dragged so as to change
Figure；
Described parameter includes endpoint parameter, line segment parameter and image figurate number；Described endpoint parameter includes coordinate information；It is described
Line segment parameter include coordinate information and line segment length；Described graphic parameter includes coordinate information, line segment length, figure week
Long, graphics area and line segment angle.
Described parameter input is computed module and is calculated figure to directly input parameter or relational expression.
The invention has the beneficial effects as follows：Using several drawing board, student can be made to be best understood from geometrical model, checking is related
Geometrical issues and theorem, strengthen grasp of the student to relevant knowledge, and training student learns the interest of geometry, improves the study of student
Efficiency, fundamentally solves the problems, such as that geometry finds it difficult to learn.
Description of the drawings
Fig. 1 is step block diagram of the present invention.
Specific embodiment
Technical scheme is described in further detail below in conjunction with the accompanying drawings：As shown in figure 1, a kind of geometry experiment and
Practise platform, input module, computing module, storage module and display module, parameter input end and the input of described computing module
Unit is connected, and the data terminal of described computing module is bi-directionally connected with storage element, the image of described computing module is exported
End is connected with display unit.
Described input module includes keyboard, mouse and touch screen.
Described storage module includes template storage unit and graphic storage unit, and described template library unit is used to deposit
Drawing template, described graphic storage unit is used for the figure that storage is completed.
Connected by wired or wireless mode between described computing module and input module.
Connected by wired or wireless mode between described computing module and display module.
Described method includes：
Input step：Including parameter input, draw input and template input；
Calculation procedure：Calculating parameter；
Step display：Show the parameter of graphing；
Storing step：The figure of drafting is stored in into template library unit or graphic storage unit.
Described drafting input includes mouse action and touch operation method；
Described mouse operation method is pressed including left button length, and right button length is pressed, and right button is clicked and mouse-over；
Described touch operation method is pressed including single-point length, and single-point is double-clicked, and single-point is clicked and double finger slides；
Described left button length by with single-point length by being used for：Choose and drag simultaneously display image parameter；
Right button length is used for by double-clicking with single-point：Multiple end points are connected two-by-two and constitute line segment, a plurality of line segment is connected and constitutes figure；
Left button click with single-point click for：One or more end points are drawn in drawing area；
Mouse-over and the slip of double fingers are used for：Display parameters and modification parameter.
Described drafting input includes：
S1. single left button mouse click or single-point is clicked and carries out drafting end points on touch screen in a coordinate system；
S2. repeat upper step, make multiple points and calculate and record endpoint parameter successively；
S3. right button length is pressed or single-point is double-clicked, and multiple points are sequentially connected into composition line segment, calculates and record line segment parameter, then by line
Section connects and composes figure, calculates and record graphic parameter；
S4. by left mouse button length by/touch screen single-point length by the end points that constitutes figure being chosen and be dragged so as to change
Figure；
Described parameter includes endpoint parameter, line segment parameter and image figurate number；Described endpoint parameter includes coordinate information；It is described
Line segment parameter include coordinate information and line segment length；Described graphic parameter includes coordinate information, line segment length, figure week
Long, graphics area and line segment angle.
Described parameter input is computed module and is calculated figure to directly input parameter or relational expression.
Embodiment 1：For the checking of congruent triangles
Whether two triangles are that congruent triangles has following condition in geometric theory：
SSS（Side-Side-Side）（Bian Bianbian）：The triangle of three side correspondent equals is congruent triangles.
SAS（Side-Angle-Side）（Corner side）：The triangle of both sides and its angle correspondent equal is congruent triangle
Shape.
ASA（Angle-Side-Angle）（Arm of angle angle）：Two jiaos and its equivalent of triangle of contained side correspondent equal.
AAS（Angle-Angle-Side）（The angle arm of angle）：The equivalent of triangle of the opposite side correspondent equal at two jiaos and one angle.
RHS（Right angle-Hypotenuse-Side）（Right angle, hypotenuse, side）（Also known as HL theorems (hypotenuse, right angle
Side)）：In a pair of right angled triangles, hypotenuse and another right-angle side are equal.
Explained using SAS in the present embodiment,
Contrast triangle being drawn first, obtaining contrasting the parameter of triangle, comparative selection side 1 contrasts side 2, and chooses contrast
Angle between at 1 and contrast 2 is contrast angle；
Next carries out comparison process, in comparison process,
First, in a coordinate system single left button mouse click or on touch screen single-point click carry out draw two end points, by two end
Point is connected and constitutes line segment, and its length is identical with the contrast side 1 of triangle；
Secondly, straight line is drawn out again according to previous step method, its length is identical with the length of contrast side 2 of triangle；
Then, the end points of straight line is overlapped with the end points of another straight line, dragging adjustment angle makes its angle with contrast angle
It is identical；
Later, one end that two straight lines are not connected with is connected with each other, a triangle can only be constituted, by mouse-over on image
Or double finger slides and shows its parameter on screen；
Finally, by the area in the parameter obtained in previous step, girth and other two angle and the area of contrast triangle
, the mode that compares of girth and other two angle verifying the condition of garden equilateral triangle, by such mode come
Help and deepen understanding and utilization of the student to knowwhy.
Embodiment 2：For the judgement of parallel lines, there is following theorem in geometric theory：
Two straight line parallels, corresponding angles are equal；
Two straight line parallels, alternate interior angle is equal；
Two straight line parallels, internal angles on the same side is complementary.
First, in a coordinate system single left button mouse click or on touch screen single-point click carry out draw two end points, by two
Individual end points is connected and constitutes line segment, in a coordinate system single left button mouse click or single-point is clicked and carries out drawing two mutually on touch screen
Parallel line segment；
Secondly, a line segment is drawn out again according to previous step method, the line segment parallel with upper bar line segment；
Then, draw a line segment to intersect with two parallel lines respectively；
Later, one end that two straight lines are not connected with is connected with each other, a triangle can only be constituted, and show its parameter；
Finally, by mouse-over is on image or double fingers slide in screen and check the size at corresponding angles, alternate interior angle and internal angles on the same side
Relation is verifying above-mentioned theorem..
Claims (10)
1. a kind of geometry is tested and learning platform, it is characterised in that：Input module, computing module, storage module and display module,
The parameter input end of described computing module is connected with input block, and the data terminal of described computing module is double with storage element
To connection, the output end of image of described computing module is connected with display unit.
2. a kind of the network teaching platform according to claim 1, it is characterised in that：Described input module includes keyboard,
Mouse and touch screen.
3. a kind of the network teaching platform according to claim 1, it is characterised in that：Described storage module is deposited including template
Storage unit and graphic storage unit, described template library unit is used to deposit drawing template, and described graphic storage unit is used for
The figure that storage is completed.
4. a kind of the network teaching platform according to claim 1, it is characterised in that：Described computing module and input module
Between connected by wired or wireless mode.
5. a kind of the network teaching platform according to claim 1, it is characterised in that：Described computing module and display module
Between connected by wired or wireless mode.
6. a kind of geometry is tested and learning method, it is characterised in that：Described method includes：
Input step：Including parameter input, draw input and template input；
Calculation procedure：Calculating parameter；
Step display：Show the parameter of graphing；
Storing step：The figure of drafting is stored in into template library unit or graphic storage unit.
7. a kind of geometry according to claim 5 is tested and learning method, it is characterised in that：Described drafting input includes
Mouse action and touch operation method；
Described mouse operation method is pressed including left button length, and right button length is pressed, and right button is clicked and mouse-over；
Described touch operation method is pressed including single-point length, and single-point is double-clicked, and single-point is clicked and double finger slides；
Described left button length by with single-point length by being used for：Choose and drag simultaneously display image parameter；
Right button length is used for by double-clicking with single-point：Multiple end points are connected two-by-two and constitute line segment, a plurality of line segment is connected and constitutes figure；
Left button click with single-point click for：One or more end points are drawn in drawing area；
Mouse-over and the slip of double fingers are used for：Display parameters and modification parameter.
8. a kind of geometry according to claim 6 is tested and learning method, it is characterised in that：Described drafting input bag
Include：S1. single left button mouse click or single-point is clicked and carries out drafting end points on touch screen in a coordinate system；
S2. repeat upper step, make multiple points and calculate and record endpoint parameter successively；
S3. right button length is pressed or single-point is double-clicked, and multiple points are sequentially connected into composition line segment, calculates and record line segment parameter, then by line
Section connects and composes figure, calculates and record graphic parameter；
S4. by left mouse button length by/touch screen single-point length by the end points that constitutes figure being chosen and be dragged so as to change
Figure.
9. a kind of geometry according to claim 8 is tested and learning method, it is characterised in that：Described parameter includes end points
Parameter, line segment parameter and image figurate number；Described endpoint parameter includes coordinate information；Described line segment parameter includes coordinate information
And line segment length；Described graphic parameter includes coordinate information, line segment length, figure girth, graphics area and line segment angle.
10. a kind of geometry according to claim 6 is tested and learning method, it is characterised in that：Described parameter is input into
Parameter or relational expression are directly inputted, module is computed and is calculated figure.
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| CN201611182895.0A CN106652582A (en) | 2016-12-20 | 2016-12-20 | Geometric experiment and learning platform and method |
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| CN201611182895.0A CN106652582A (en) | 2016-12-20 | 2016-12-20 | Geometric experiment and learning platform and method |
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Cited By (1)
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| CN109712479A (en) * | 2019-02-26 | 2019-05-03 | 潍坊科技学院 | A kind of intelligent automation material object counts teaching equipment |
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