CN114141109B - Advanced mathematics teaching is with small-size cycloid demonstration teaching aid - Google Patents
Advanced mathematics teaching is with small-size cycloid demonstration teaching aid Download PDFInfo
- Publication number
- CN114141109B CN114141109B CN202111437936.7A CN202111437936A CN114141109B CN 114141109 B CN114141109 B CN 114141109B CN 202111437936 A CN202111437936 A CN 202111437936A CN 114141109 B CN114141109 B CN 114141109B
- Authority
- CN
- China
- Prior art keywords
- demonstration
- circular plate
- cycloid
- drawing board
- column
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Active
Links
- 238000000034 method Methods 0.000 claims abstract description 55
- 230000008569 process Effects 0.000 claims abstract description 54
- 239000000049 pigment Substances 0.000 claims abstract description 15
- 238000009795 derivation Methods 0.000 claims abstract description 7
- 239000007788 liquid Substances 0.000 claims description 38
- 238000010422 painting Methods 0.000 claims description 37
- 238000002347 injection Methods 0.000 claims description 17
- 239000007924 injection Substances 0.000 claims description 17
- 230000006835 compression Effects 0.000 claims description 9
- 238000007906 compression Methods 0.000 claims description 9
- 238000005096 rolling process Methods 0.000 claims description 9
- 230000015572 biosynthetic process Effects 0.000 claims description 7
- 238000013016 damping Methods 0.000 claims description 7
- 230000009471 action Effects 0.000 claims description 5
- 230000000903 blocking effect Effects 0.000 claims description 5
- 238000001125 extrusion Methods 0.000 claims description 3
- 230000005484 gravity Effects 0.000 claims description 3
- 230000001737 promoting effect Effects 0.000 claims description 2
- 230000000694 effects Effects 0.000 description 3
- 239000003550 marker Substances 0.000 description 3
- 230000008859 change Effects 0.000 description 2
- 230000001502 supplementing effect Effects 0.000 description 2
- 241001391944 Commicarpus scandens Species 0.000 description 1
- 241000872198 Serjania polyphylla Species 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 239000012141 concentrate Substances 0.000 description 1
- 125000004122 cyclic group Chemical group 0.000 description 1
- 230000007812 deficiency Effects 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 239000012466 permeate Substances 0.000 description 1
- 238000005507 spraying Methods 0.000 description 1
- 239000002699 waste material 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
Landscapes
- 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)
- Toys (AREA)
Abstract
The invention belongs to the technical field of demonstration teaching aids, in particular to a small cycloid demonstration teaching aid for higher mathematics teaching, which comprises a back plate and a drawing plate; the movable groove is arranged at one end of the back plate, which faces the drawing board, and the lower end surface of the movable groove is fixedly connected with a rack which is meshed with a gear; one end of the connecting column is fixedly connected with the gear, the other end of the connecting column is provided with a pushing structure, the other end of the pushing structure is provided with a demonstration circular plate, and the pushing structure is used for pushing the demonstration circular plate to move and cling to the drawing board; the cavity is arranged on the outer ring of the demonstration circular plate, which faces one end of the drawing plate, the drawing pen is connected in a sliding way in the cavity, and a reset spring is fixedly connected between the drawing pen and the cavity; the placing groove is annularly arranged on the outer ring at one end of the demonstration circular plate, and a sponge block sucked with pigment is arranged in the placing groove; the invention solves the problem that when a teacher subsequently explains the reasoning evolution process of the cycloid equation according to the formed cycloid, the teaching can not be performed according to only one cycloid, so that students can know the derivation process of the cycloid equation more clearly.
Description
Technical Field
The invention belongs to the technical field of demonstration teaching aids, and particularly relates to a small cycloid demonstration teaching aid for advanced mathematics teaching.
Background
In mathematics, cycloid (cyclic) is defined as the trajectory formed by a point on the boundary of a circle as it moves along a straight line.
When teaching cycloids, teachers generally draw a plurality of circles and embody the rule of cycloids in a point finding mode, and students cannot thoroughly know the cycloid forming process in the understanding process.
The existing cycloid demonstration tool drives the pen to move through the circular rolling, and draws a process of forming cycloids by a certain point on the circular boundary, so that students can clearly know the process of forming cycloids; however, when a teacher subsequently explains the reasoning evolution process of the cycloid equation according to the formed cycloid, only the cycloid formed by the rolling of the circle exists on the demonstration board, the teaching can not be performed according to one cycloid teacher, the state of the circle in the cycloid formation process is needed to be drawn for assistance, and students can know the derivation process of the cycloid equation more clearly.
Based on the above, the invention designs a small cycloid demonstration teaching aid for advanced mathematics teaching, so as to solve the technical problems.
Disclosure of Invention
In order to make up for the deficiency, solve teacher's follow-up according to the cycloid of formation explain cycloid equation reasoning evolution process, only according to a cycloid unable to explain, let students know the problem of cycloid equation derivation process more clearly, the invention has proposed a kind of high-order mathematics teaching uses the demonstration teaching aid of small-size cycloid.
The technical scheme adopted for solving the technical problems is as follows: the invention relates to a small cycloid demonstration teaching aid for advanced math teaching, which comprises:
the lower base, one end of the upper part of the lower base is fixedly connected with a back plate, and the other end of the upper part of the lower base is provided with a transparent drawing board;
the moving groove is formed in one end, facing the drawing board, of the rear backup plate, a rack is fixedly connected to the lower end face of the moving groove, and a gear is meshed with the rack;
the device comprises a connecting column, a gear, a pushing structure and a demonstration circular plate, wherein one end of the connecting column is fixedly connected with the gear, the pushing structure is arranged at the other end of the connecting column, the demonstration circular plate is arranged at the other end of the pushing structure, and the pushing structure is used for pushing the demonstration circular plate to move and cling to the drawing plate;
the cavity is formed in the outer ring of one end, facing the drawing board, of the demonstration circular plate, a drawing pen is connected in a sliding mode in the cavity, and a reset spring is fixedly connected between the drawing pen and the cavity;
the placing groove is formed in an annular mode, the outer ring of one end, facing the drawing board, of the demonstration circular plate, and the sponge block with the pigment is installed in the placing groove.
Preferably, the pushing structure includes:
one end of the movable column is in sliding connection with the connecting column, and the other end of the movable column is fixedly connected with the demonstration circular plate;
the clamping groove is formed in one end, facing the moving column, of the connecting column;
the clamping block is fixedly connected to the position, corresponding to the clamping groove, of the moving column, and the clamping block is matched with the clamping groove.
Preferably, the pushing structure includes:
the sliding groove is formed in one end, close to the demonstration circular plate, of the connecting column, and the other end of the connecting column is connected with the demonstration circular plate in a sliding mode;
the sliding block is in sliding connection with the sliding groove, one end of the sliding block is fixed with the demonstration circular plate, the other end of the sliding block is fixedly connected with a compression spring, and the other end of the compression spring is fixedly connected with the sliding groove.
Preferably, the moving column is sleeved with a clamping ring, and the clamping ring is rotationally connected with the moving column; a pushing column is fixedly connected to the side face of the clamping ring; the movable column is fixedly connected with blocking blocks at two sides of the clamping ring.
Preferably, the lower end of the drawing board is connected with the lower base through a damping rotating shaft.
Preferably, the side surface of the demonstration circular plate is provided with a liquid injection hole at a position corresponding to the placing groove, and the liquid injection hole is provided with a liquid injection sleeve in a matching way.
Preferably, the demonstration circular plate is provided with a pre-storage bin at the outer ring of the placing groove; a flow hole is formed between the placing groove and the pre-storing bin; the flow holes are obliquely arranged.
Preferably, in the process of rotating the demonstration circular plate, when the painting brush is positioned below the demonstration circular plate, the flow hole is positioned above the demonstration circular plate.
Preferably, a magnetic block is arranged at the position of the cycloid first arch point at one end of the drawing board far away from the demonstration circular plate; the outer ring of the painting brush is sleeved with a magnetic ring, and the magnetic blocks are magnetically attracted with the magnetic ring.
Preferably, the outer surface of the part between the demonstration circular plate and the back plate is sprayed with black.
The beneficial effects of the invention are as follows:
1. compared with the traditional technical scheme, the small cycloid demonstration teaching aid for the advanced mathematics teaching has the advantages that in the process that the demonstration circular plate drives the painting brush to roll along the surface of the lower base to form cycloids, the pushing structure is utilized to move to drive the sponge block to leave round marks on the painting plate, so that a teacher can clearly understand the deduction process of cycloid equations when the teacher explains students.
2. According to the small cycloid demonstration teaching aid for the advanced math teaching, the supplementary liquid is injected into the pre-storing bin through the liquid injection hole, and is thrown out onto the sponge block through the flow hole under the action of centrifugal force in the process of demonstrating the rolling of the circular plate, so that pigment supplementary liquid is distributed on the sponge block more uniformly, the formed circular marks are clearer and more uniform, the number of times of adding the supplementary liquid is reduced, and the use process of the demonstration teaching aid is optimized.
Drawings
The invention is further described below with reference to the accompanying drawings.
FIG. 1 is a perspective view of a first embodiment of the present invention;
FIG. 2 is a perspective view of a second embodiment of the present invention;
FIG. 3 is an enlarged view of a portion of the invention at A in FIG. 2;
FIG. 4 is an enlarged view of a portion of the invention at B in FIG. 2;
FIG. 5 is a front cross-sectional view illustrating the location of the through-holes in the circular plate according to the present invention;
in the figure: 1. a lower base; 2. a back plate; 3. drawing board; 4. a moving groove; 5. a rack; 6. a gear; 7. a connecting column; 81. a moving column; 82. a clamping groove; 83. a clamping block; 84. a sliding groove; 85. a sliding block; 86. a compression spring; 9. a demonstration circular plate; 10. a cavity; 11. drawing brushes; 12. a return spring; 13. a placement groove; 14. a sponge block; 15. a clasp; 16. pushing the column; 17. a blocking piece; 18. damping the rotating shaft; 19. a liquid injection hole; 20. a liquid injection sleeve; 21. pre-storing a bin; 22. a flow hole; 23. a magnetic block; 24. and a magnetic ring.
Detailed Description
The invention is further described in connection with the following detailed description in order to make the technical means, the creation characteristics, the achievement of the purpose and the effect of the invention easy to understand.
As shown in fig. 1 to 5:
embodiment one:
a miniature cycloid demonstration teaching aid for advanced math teaching, comprising:
a back plate 2 is fixedly connected to one end of the upper part of the lower base 1, and a transparent drawing board 3 is arranged at the other end of the upper part of the lower base 1;
the moving groove 4 is formed in one end, facing the drawing board 3, of the back board 2, a rack 5 is fixedly connected to the lower end face of the moving groove 4, and a gear 6 is meshed with the rack 5;
the connecting column 7, one end of the connecting column 7 is fixedly connected with the gear 6, the other end of the connecting column 7 is provided with a pushing structure, the other end of the pushing structure is provided with a demonstration circular plate 9, and the pushing structure is used for pushing the demonstration circular plate 9 to move and cling to the drawing board 3;
the cavity 10 is formed on the outer ring of one end of the demonstration circular plate 9, which faces the drawing plate 3, a drawing pen 11 is connected in a sliding manner in the cavity 10, and a reset spring 12 is fixedly connected between the drawing pen 11 and the cavity 10;
the placing groove 13 is formed in an annular shape on the outer ring of one end, facing the drawing board 3, of the demonstration circular plate 9, and a sponge block 14 with pigment sucked is arranged in the placing groove 13;
in the initial state, the demonstration circular plate 9 is positioned at one side of the lower base 1, the painting brush 11 is positioned at the lower end of the demonstration circular plate 9 in the vertical direction, a teacher holds the pushing connection column 7 by hand in the demonstration process, the connection column 7 drives the gear 6 to roll along the rack 5, meanwhile, the connection column 7 rolls to drive the pushing structure and the demonstration circular plate 9 to roll, a moving track is left on the painting plate 3 in the rolling process of the painting brush 11 on the demonstration circular plate 9, and when the demonstration circular plate 9 rolls for a complete circle, a cycloid cycle is formed; the marker pen 11 is adopted, so that the marker pen is more stable and is not easy to break in the process of motion drawing, and meanwhile, the cycloid drawn by the marker pen is smoother; in the process that the demonstration circular plate 9 drives the painting brush 11 to roll for a circle, the position can be randomly selected to stop, and then the pushing structure is moved, so that the demonstration circular plate 9 is close to the painting plate 3, the painting brush 11 moves in the cavity 10, the demonstration circular plate 9 extrudes the reset spring 12 to compress, and the sponge block 14 with pigment on the demonstration painting plate 3 leaves a circular mark on the painting plate 3; then the demonstration circular plate 9 returns to the initial state by the reverse movement pushing structure, and the reset spring 12 loses extrusion and returns to the original state; the connecting column 7 is pushed continuously to drive the demonstration circular plate 9 to roll, and repeated operation is carried out when the circular mark needs to be marked again until the demonstration circular plate 9 rolls for a circle completely; in the process of demonstrating the circle plate 9 to roll for one period, students can intuitively see the cycloid formation process, and meanwhile, in the subsequent explanation process of teachers, the students can know the derivation process of a cycloid equation more clearly through marks left on the drawing board 3 by the sponge block 14 with pigment;
according to the invention, the pushing structure and the sponge block 14 are arranged, so that in the process that the demonstration circular plate 9 drives the painting brush 11 to roll along the surface of the lower base 1 to form cycloids, the pushing structure is utilized to move to drive the sponge block 14 to leave a circular mark on the painting board 3, and a teacher can more clearly understand the derivation process of a cycloid equation when explaining the student.
The pushing structure includes:
a moving column 81, wherein one end of the moving column 81 is slidably connected with the connecting column 7, and the other end of the moving column 81 is fixedly connected with the demonstration circular plate 9;
a clamping groove 82, wherein the clamping groove 82 is formed at one end of the connecting column 7 facing the moving column 81;
the clamping block 83 is fixedly connected to the position, corresponding to the clamping groove 82, of the moving column 81, and the clamping block 83 is matched with the clamping groove 82;
in the use process, when a round mark needs to be left on the drawing board 3, a teacher manually pulls the moving column 81 towards the direction of the drawing board 3, so that the moving column 81 drives the demonstration circular plate 9 to move towards the direction of the drawing board 3, the clamping blocks 83 slide along the clamping grooves 82, and the annular sponge block 14 on the demonstration circular plate 9 leaves the round mark on the drawing board 3; the demonstration circular plate 9 moves towards the direction far away from the drawing board 3 by pulling the moving column 81 in the reverse direction, the clamping blocks 83 and the demonstration circular plate 9 return to the initial positions, the clamping blocks 83 and the clamping grooves 82 are matched to limit the moving column 81, relative rotation between the moving column 81 and the connecting column 7 is prevented, the connecting column 7 is pushed continuously, the connecting column 7 and the moving column 81 synchronously rotate to drive the demonstration circular plate 9 to roll, and the pushing process of the demonstration circular plate 9 is realized by pulling the moving column 7 back and forth, so that the device is quite convenient.
The movable column 81 is sleeved with a clamping ring 15, and the clamping ring 15 is rotationally connected with the movable column 81; a pushing column 16 is fixedly connected to the side surface of the clamping ring 15; the two sides of the clamping ring 15 of the movable column 81 are fixedly connected with blocking blocks 17;
in the use process, when a teacher needs to explain and demonstrate, the teacher can stand at the front end of one side of the drawing board 3 by using the pushing column 16, hold the pushing column 16 by one hand, drive the snap ring 15 and the moving column 81 to move by moving the pushing column 16, and the moving column 81 rolls to drive the demonstrating circular plate 9 to roll, so that the teacher can adjust and push the demonstrating circular plate 9 according to the teaching condition in the course of teaching; when a round mark is required to be left on the drawing board 3, a teacher moves the pushing column 16 horizontally towards the drawing board 3, under the action of the blocking block 17, the pushing column 16 and the clamping ring 15 apply force to enable the clamping block 83 to be separated from the clamping groove 82 to finish the marking process, and then the pushing column 16 is moved reversely to enable the clamping block 83 to be clamped with the clamping groove 82, so that the teaching effect is further optimized.
The lower end of the drawing board 3 is connected with the lower base 1 through a damping rotating shaft 18;
in the use, through being connected the damping pivot 18 between drawing board 3 and the lower base 1, when needs clean drawing board 3 or change painting brush 11 and sponge piece 14, can be through rotating drawing board 3 for drawing board 3 rotates to the horizontality, cleans relevant operation such as going on again, thereby demonstrates the operation of the clearance that can be more convenient when using of teaching aid and change.
A liquid injection hole 19 is formed in the side surface of the demonstration circular plate 9 and corresponds to the placing groove 13, and a liquid injection sleeve 20 is arranged on the liquid injection hole 19 in a matching way;
in the use process, when the pigment color in the sponge block 14 is diluted and needs to be supplemented, the liquid injection sleeve 20 is taken down, the supplementing liquid is injected into the placing groove 13, the supplementing liquid is absorbed and supplemented by the sponge block 14, and the liquid injection sleeve 20 is closed, so that the pigment in the sponge block 14 can be more conveniently kept sufficient, and the demonstration process is further optimized.
The demonstration circular plate 9 is provided with a pre-storage bin 21 at the outer ring of the placing groove 13; a flow hole 22 is arranged between the placing groove 13 and the pre-storage bin 21; the flow holes 22 are obliquely arranged;
in the using process, the supplementary liquid is injected into the pre-storing bin 21 through the liquid injection hole 19, and the supplementary liquid on the side surface of the pre-storing bin 21 is filled in the circulation hole 22 at the lower end position in the process of demonstrating the rolling of the circular plate 9; when the demonstration circular plate 9 continues to roll, the circulation hole 22 rolls to the upper end to drive the supplementary liquid to the upper part of the sponge block 14, and under the action of gravity, the supplementary liquid in the upper end circulation hole 22 flows into the sponge block 14; on the one hand, pigment replenishment liquid is distributed more uniformly on the sponge block 14, so that the formed round marks are clearer and more uniform, on the other hand, the number of times of adding the replenishment liquid is reduced, and the use process of the demonstration teaching aid is optimized.
In the process of rotating the demonstration circular plate 9, when the painting brush 11 is positioned below the demonstration circular plate 9, the circulation hole 22 is positioned above the demonstration circular plate 9;
when the demonstration teaching aid is used, the demonstration circular plate 9 rolls for a period, the position of the painting brush 11 is located at the lower end of the vertical direction of the demonstration circular plate 9, the circulation hole 22 is formed in the position opposite to the painting brush 11, so that pigment replenishing liquid is stored in the position of the pre-storing bin 21, which is close to the painting brush 11, when the demonstration circular plate 9 stops being used, and cannot permeate into the sponge block 14 through the circulation hole 22, and therefore outflow volatilization of replenishing liquid is reduced when the demonstration teaching aid is not used, and waste is caused.
As one embodiment of the invention, a magnet 23 is arranged at the position of the cycloid first arch point on one end of the drawing board 3 far away from the demonstration circular plate 9; a magnetic ring 24 is sleeved on the outer ring of the painting brush 11, and the magnetic block 23 is magnetically attracted with the magnetic ring 24;
in the demonstration process, the states of the circle at the starting point, the end point and the first arch point are key states of cycloid formation, a teacher needs to mark the three states when carrying out circle marking, the states of the starting point and the end point are predicted through the length of the rack 5, when the gear 6 is positioned at one end of the rack 5, the state is the starting point, when the gear 6 rolls to the other end of the rack 5, the teacher can judge and mark according to the states; however, when passing through the first arch point, the teacher needs to visually observe that the painting brush 11 moves to the upper end of the vertical state of the demonstration drawing board 3 and then marks, so that errors are easily generated; through placing the magnetic path 23 in advance in the position of first arched point, when the painting brush 11 drives the magnetic ring 24 to roll to the position corresponding to magnetic path 23, magnetic force between the two is biggest, and the mr feels obvious resistance when promoting, marks again, increases thrust again after the mark is ended and makes demonstration plectane 9 continue to rotate for the state of circle when the cycloid is at first arched point can be more accurate marking, thereby the student understands more clearly when the explanation to the mr.
Black is sprayed on the outer surface of the part between the demonstration circular plate 9 and the back plate 2;
through spraying the black with the part surface between plectane and the postnatal plate for the student is when permeating drawing board 3 to observe cycloid's formation process, and attention can concentrate on the orbit that demonstration plectane 9 and painting brush 11 formed all the time, thereby further optimize the teaching effect of demonstration teaching aid.
Embodiment two:
the second embodiment differs from the first embodiment in that;
the pushing structure includes:
the sliding groove 84 is formed in one end, close to the demonstration circular plate 9, of the connecting column 7, and the other end of the connecting column 7 is in sliding connection with the demonstration circular plate 9;
the sliding block 85 is in sliding connection with the sliding groove 84, one end of the sliding block 85 is fixed with the demonstration circular plate 9, the other end of the sliding block 85 is fixedly connected with the compression spring 86, and the other end of the compression spring 86 is fixedly connected with the sliding groove 84;
in the use, when needing to leave circular mark on drawing board 3, the mr holds spliced pole 7 rethread finger promotes slider 85 and removes along sliding tray 84 for slider 85 drives demonstration plectane 9 and removes, compression spring 86 tensile, after leaving the mark on drawing board 3, and the teacher's hand removes to the direction of keeping away from slider 85 and breaks away from slider 85, and compression spring 86 shrink drives slider 85 and demonstration plectane 9 and returns initial condition, makes the removal of demonstration plectane 9 through manual promotion slider 85, and the operation is very convenient.
The specific working procedure is as follows:
in the demonstration process, a teacher holds the pushing connecting column 7 by hand, the connecting column 7 drives the gear 6 to roll along the rack 5, meanwhile, the connecting column 7 rolls to drive the pushing structure and the demonstration circular plate 9 to roll, a moving track is left on the drawing board 3 in the process of rolling the drawing pen 11 on the demonstration circular plate 9, and when the demonstration circular plate 9 rolls for a complete circle, a cycloid cycle is formed; in the process that the demonstration circular plate 9 drives the painting brush 11 to roll for a circle, the position can be randomly selected to stop, and then the pushing structure is moved, so that the demonstration circular plate 9 is close to the painting plate 3, the painting brush 11 moves in the cavity 10, the demonstration circular plate 9 extrudes the reset spring 12 to compress, and the sponge block 14 with pigment on the demonstration painting plate 3 leaves a circular mark on the painting plate 3; then the demonstration circular plate 9 returns to the initial state by the reverse movement pushing structure, and the reset spring 12 loses extrusion and returns to the original state; the connecting column 7 is pushed continuously to drive the demonstration circular plate 9 to roll, and repeated operation is carried out when the circular mark needs to be marked again until the demonstration circular plate 9 rolls for a circle completely; in the process of demonstrating the circle plate 9 to roll for one period, students can intuitively see the cycloid formation process, and meanwhile, in the subsequent explanation process of teachers, the students can know the derivation process of a cycloid equation more clearly through marks left on the drawing board 3 by the sponge block 14 with pigment; through connecting the damping rotating shaft 18 between the drawing board 3 and the lower base 1, when the drawing board 3 needs to be wiped or the drawing pen 11 and the sponge block 14 need to be replaced, the drawing board 3 can be rotated to be in a horizontal state by rotating the drawing board 3, and related operations such as wiping and the like are performed; injecting the supplementary liquid into the pre-storing bin 21 through the liquid injection hole 19, and filling the circulation hole 22 at the lower end position with the supplementary liquid at the side surface of the pre-storing bin 21 in the process of demonstrating the rolling of the circular plate 9; when the demonstration circular plate 9 continues to roll, the circulation hole 22 rolls to the upper end to drive the supplementary liquid to the upper part of the sponge block 14, and under the action of gravity, the supplementary liquid in the upper end circulation hole 22 flows into the sponge block 14; through placing the magnetic block 23 in the position of the first arch point in advance, when the painting brush 11 drives the magnetic ring 24 to roll to the position corresponding to the magnetic block 23, magnetic force between the magnetic ring and the magnetic block is maximum, a teacher feels obvious resistance when pushing, marking is carried out again, and after the marking is finished, pushing force is increased again so that the demonstration circular plate 9 continues to rotate, and the state of the cycloid circle at the first arch point can be accurately marked.
The front, rear, left, right, up and down are based on the viewing angle of the person, the side of the device facing the observer is defined as the front, the left side of the observer is defined as the left, and so on.
In the description of the present invention, it should be understood that the terms "center", "longitudinal", "lateral", "front", "rear", "left", "right", "vertical", "horizontal", "top", "bottom", "inner", "outer", etc. indicate orientations or positional relationships based on the orientations or positional relationships shown in fig. 1, are merely for convenience in describing the present invention and simplifying the description, and do not indicate or imply that the devices or elements referred to must have a specific orientation, be configured and operated in a specific orientation, and therefore should not be construed as limiting the scope of the present invention.
The foregoing has shown and described the basic principles, principal features and advantages of the invention. It will be understood by those skilled in the art that the present invention is not limited to the embodiments described above, and that the above embodiments and descriptions are merely illustrative of the principles of the present invention, and various changes and modifications may be made without departing from the spirit and scope of the invention, which is defined in the appended claims. The scope of the invention is defined by the appended claims and equivalents thereof.
Claims (4)
1. A high-order mathematics teaching is with small-size cycloid demonstration teaching aid, its characterized in that: comprising the following steps:
the lower base (1), one end of the upper part of the lower base (1) is fixedly connected with a back plate (2), and the other end of the upper part of the lower base (1) is provided with a transparent drawing board (3);
the movable groove (4) is formed in one end, facing the drawing board (3), of the back board (2), a rack (5) is fixedly connected to the lower end face of the movable groove (4), and a gear (6) is meshed with the rack (5);
the device comprises a connecting column (7), wherein one end of the connecting column (7) is fixedly connected with a gear (6), the other end of the connecting column (7) is provided with a pushing structure, the other end of the pushing structure is provided with a demonstration circular plate (9), and the pushing structure is used for pushing the demonstration circular plate (9) to move and cling to a drawing board (3);
the cavity (10) is formed in the outer ring of the demonstration circular plate (9) facing one end of the drawing board (3), the drawing pen (11) is connected in a sliding mode in the cavity (10), and a reset spring (12) is fixedly connected between the drawing pen (11) and the cavity (10);
the placing groove (13) is formed in an annular shape on the outer ring of one end, facing the drawing board (3), of the demonstration circular plate (9), and a sponge block (14) with pigment sucked is arranged in the placing groove (13);
the lower end of the drawing board (3) is connected with the lower base (1) through a damping rotating shaft (18);
a liquid injection hole (19) is formed in the side surface of the demonstration circular plate (9) and corresponds to the placing groove (13), and a liquid injection sleeve (20) is arranged on the liquid injection hole (19) in a matching way;
the demonstration circular plate (9) is provided with a pre-storage bin (21) at the outer ring of the placing groove (13); a flow hole (22) is formed between the placing groove (13) and the pre-storing bin (21); the flow holes (22) are obliquely arranged;
in the process of rotating the demonstration circular plate (9), when the painting brush (11) is positioned below the demonstration circular plate (9), the circulation hole (22) is positioned above the demonstration circular plate (9);
a magnetic block (23) is arranged at the position of the cycloid first arch point at one end of the drawing board (3) far away from the demonstration circular plate (9); a magnetic ring (24) is sleeved on the outer ring of the painting brush (11), and the magnetic blocks (23) are magnetically attracted with the magnetic ring (24);
black is sprayed on the outer surface of the part between the demonstration circular plate (9) and the back plate (2);
in the demonstration process, a teacher holds the pushing connecting column (7) by hands, the connecting column (7) drives the gear 6 to roll along the rack 5, meanwhile, the connecting column (7) rolls to drive the pushing structure and the demonstration circular plate (9) to roll, a moving track is left on the drawing board (3) in the process of rolling the drawing pen (11) on the demonstration circular plate (9), and when the demonstration circular plate (9) rolls for a complete circle, a cycloid cycle is formed; in the process that the demonstration circular plate (9) drives the painting brush (11) to roll for one circle, the position can be randomly selected to stop, and then the pushing structure is moved, so that the demonstration circular plate (9) is close to the painting plate (3), the painting brush (11) moves in the cavity (10), the demonstration circular plate (9) extrudes the reset spring (12) to compress, and the sponge block (14) with pigment on the demonstration painting plate (3) leaves a circular mark on the painting plate (3); then the demonstration circular plate (9) returns to the initial state by the reverse movement pushing structure, and the reset spring (12) loses extrusion and returns to the original state; the connecting column (7) is pushed continuously to drive the demonstration circular plate (9) to roll, and repeated operation is carried out when the circular mark needs to be marked again until the demonstration circular plate (9) completely rolls for one circle; in the process of demonstrating the circular plate (9) to roll for one period, students can intuitively see the cycloid formation process, and meanwhile, in the subsequent explanation process of teachers, marks on the drawing board (3) can be reserved through the sponge block (14) with pigment, so that the students can know the derivation process of the cycloid equation more clearly; through connecting the damping rotating shaft (18) between the drawing board (3) and the lower base (1), when the drawing board (3) needs to be wiped or the drawing pen (11) and the sponge block (14) need to be replaced, the drawing board (3) can be rotated to be in a horizontal state by rotating the drawing board (3), and then wiping operation is carried out; injecting the supplementary liquid into the pre-storing bin (21) through the liquid injection hole (19), and filling the circulation hole (22) at the lower end position with the supplementary liquid at the side surface of the pre-storing bin (21) in the process of demonstrating the rolling of the circular plate (9); when the demonstration circular plate (9) continues to roll, the circulation hole (22) rolls to the upper end to drive the supplementary liquid to the upper part of the sponge block (14), and under the action of gravity, the supplementary liquid in the upper end circulation hole (22) flows into the sponge block (14); through place magnetic path (23) in advance in the position of first hunch point, when painting brush (11) drive magnetic ring (24) roll to the position corresponding with magnetic path (23), magnetic force between the two is biggest, and the mr feels obvious resistance when promoting, marks again, increases thrust again after the mark is finished and makes demonstration plectane (9) continue to rotate for can be more accurate mark out cycloid circle's state when first hunch point.
2. The miniature cycloid demonstration teaching aid for advanced math teaching according to claim 1, wherein: the pushing structure includes:
the mobile column (81), one end of the mobile column (81) is in sliding connection with the connecting column (7), and the other end of the mobile column (81) is fixedly connected with the demonstration circular plate (9);
the clamping groove (82) is formed in one end, facing the moving column (81), of the connecting column (7);
the clamping block (83), the clamping block (83) is fixedly connected to the position, corresponding to the clamping groove (82), on the movable column (81), and the clamping block (83) is matched with the clamping groove (82).
3. The miniature cycloid demonstration teaching aid for advanced math teaching according to claim 1, wherein: the pushing structure includes:
the sliding groove (84) is formed in one end, close to the demonstration circular plate (9), of the connecting column (7), and the other end of the connecting column (7) is in sliding connection with the demonstration circular plate (9);
the sliding block (85), sliding block (85) and sliding groove (84) sliding connection, sliding block (85) one end is fixed with demonstration plectane (9), compression spring (86) has been linked firmly to the other end of sliding block (85), compression spring (86)'s the other end links firmly with sliding groove (84).
4. The miniature cycloid demonstration teaching aid for advanced math teaching according to claim 2, wherein: a clamping ring (15) is sleeved on the moving column (81), and the clamping ring (15) is rotationally connected with the moving column (81); a pushing column (16) is fixedly connected to the side face of the clamping ring (15); the two sides of the clamping ring (15) of the movable column (81) are fixedly connected with blocking blocks (17).
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202111437936.7A CN114141109B (en) | 2021-11-30 | 2021-11-30 | Advanced mathematics teaching is with small-size cycloid demonstration teaching aid |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202111437936.7A CN114141109B (en) | 2021-11-30 | 2021-11-30 | Advanced mathematics teaching is with small-size cycloid demonstration teaching aid |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN114141109A CN114141109A (en) | 2022-03-04 |
| CN114141109B true CN114141109B (en) | 2024-02-20 |
Family
ID=80389468
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202111437936.7A Active CN114141109B (en) | 2021-11-30 | 2021-11-30 | Advanced mathematics teaching is with small-size cycloid demonstration teaching aid |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN114141109B (en) |
Citations (10)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US5772444A (en) * | 1997-02-14 | 1998-06-30 | Defee; James M. | Method and article for teaching the core construction of the singularity motion |
| EP0972585A2 (en) * | 1998-07-16 | 2000-01-19 | Schuler Pressen GmbH & Co. KG | Rotary forming machine with better forming behaviour |
| JP2000089661A (en) * | 1998-09-16 | 2000-03-31 | Tokai Univ | Math teaching tools |
| CN1960880A (en) * | 2004-11-04 | 2007-05-09 | 株式会社秀峰 | Offset printing method using ink-jet system and printed object by same |
| JP3208390U (en) * | 2016-10-28 | 2017-01-05 | 大野 仁 | set square |
| CN205984018U (en) * | 2016-06-04 | 2017-02-22 | 陕西学前师范学院 | Teaching aid is demonstrated to cycloid for advanced math teaching |
| CN209373864U (en) * | 2018-09-27 | 2019-09-10 | 莆田学院 | A teaching demonstration device for drawing sine curves |
| CN210110125U (en) * | 2019-04-01 | 2020-02-21 | 华东交通大学理工学院 | University's mathematics cycloid demonstration teaching aid |
| CN211181321U (en) * | 2020-01-18 | 2020-08-04 | 河南工业和信息化职业学院 | Mathematics teaching is with supplementary teaching device |
| CN113329878A (en) * | 2019-01-14 | 2021-08-31 | 赛康印前公众有限公司 | Device and method for producing relief carriers by irradiation |
Family Cites Families (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20160307470A1 (en) * | 2015-04-15 | 2016-10-20 | Brainpop | System and method for dynamic geometry suggestion tool |
-
2021
- 2021-11-30 CN CN202111437936.7A patent/CN114141109B/en active Active
Patent Citations (10)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US5772444A (en) * | 1997-02-14 | 1998-06-30 | Defee; James M. | Method and article for teaching the core construction of the singularity motion |
| EP0972585A2 (en) * | 1998-07-16 | 2000-01-19 | Schuler Pressen GmbH & Co. KG | Rotary forming machine with better forming behaviour |
| JP2000089661A (en) * | 1998-09-16 | 2000-03-31 | Tokai Univ | Math teaching tools |
| CN1960880A (en) * | 2004-11-04 | 2007-05-09 | 株式会社秀峰 | Offset printing method using ink-jet system and printed object by same |
| CN205984018U (en) * | 2016-06-04 | 2017-02-22 | 陕西学前师范学院 | Teaching aid is demonstrated to cycloid for advanced math teaching |
| JP3208390U (en) * | 2016-10-28 | 2017-01-05 | 大野 仁 | set square |
| CN209373864U (en) * | 2018-09-27 | 2019-09-10 | 莆田学院 | A teaching demonstration device for drawing sine curves |
| CN113329878A (en) * | 2019-01-14 | 2021-08-31 | 赛康印前公众有限公司 | Device and method for producing relief carriers by irradiation |
| CN210110125U (en) * | 2019-04-01 | 2020-02-21 | 华东交通大学理工学院 | University's mathematics cycloid demonstration teaching aid |
| CN211181321U (en) * | 2020-01-18 | 2020-08-04 | 河南工业和信息化职业学院 | Mathematics teaching is with supplementary teaching device |
Non-Patent Citations (1)
| Title |
|---|
| 何培斌 等.《工程制图基础》.重庆大学出版社,2021,第34-35页. * |
Also Published As
| Publication number | Publication date |
|---|---|
| CN114141109A (en) | 2022-03-04 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN104616580B (en) | Cam Mechanism Profile Design and Follower Kinematic Characteristics Surveying and Mapping Platform | |
| CN114141109B (en) | Advanced mathematics teaching is with small-size cycloid demonstration teaching aid | |
| CN104299508B (en) | Cam profile curve is drawn demonstrator | |
| CN104361822B (en) | A kind of multi-functional cam demonstration teaching aid | |
| CN203697772U (en) | Dual-purpose blackboard device | |
| CN207502472U (en) | A kind of liquid chromatograph | |
| CN209746800U (en) | Novel english tense teaching device | |
| CN111028624B (en) | A kind of flat throwing motion demonstration equipment for physics teaching | |
| CN109035971B (en) | Teaching aid for mathematics teaching | |
| CN204020332U (en) | A kind of double rack ellipsograph that can be used for manual drawing ellipse | |
| CN206678649U (en) | Radio message receiption by hand robot | |
| CN113734404A (en) | Driving device for paddle of amusement park | |
| CN206774012U (en) | A kind of interactive teaching apparatus | |
| CN206510635U (en) | A kind of system for automatic marker making blackboard for English teaching | |
| CN105390051A (en) | Portable assembled theoretical mechanics teaching aid | |
| CN106652660A (en) | Science and engineering teaching demonstration rod | |
| CN214504918U (en) | Think political affairs education auxiliary device for propaganda | |
| DE817678C (en) | Device in or on slides for cinema and other neon signs | |
| CN113035031A (en) | Physical magnetic force demonstration device | |
| CN219650910U (en) | Curve drawing auxiliary tool | |
| CN219320941U (en) | a puzzle model | |
| CN205264182U (en) | Portable assembled theoretical mechanics teaching aid | |
| CN104809939B (en) | Trigonometric teaching aid | |
| RU2704359C1 (en) | Device for studying rotation of non-holonomic systems | |
| CN211130095U (en) | A kind of educational psychological counseling auxiliary device |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |