CN113327491A - Mathematical teaching simulation model - Google Patents
Mathematical teaching simulation model Download PDFInfo
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- CN113327491A CN113327491A CN202110708729.4A CN202110708729A CN113327491A CN 113327491 A CN113327491 A CN 113327491A CN 202110708729 A CN202110708729 A CN 202110708729A CN 113327491 A CN113327491 A CN 113327491A
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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
- 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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Abstract
The invention relates to the field of mathematical teaching, in particular to a mathematical teaching simulation model which comprises two function display chains, a display operation platform, two fixed bottom platforms and side limiting fixing seats, wherein the function display chains are arranged at the middle ends of the upper end and the lower end of the display operation platform in a sliding manner, the lower end of the display operation platform is uniformly and fixedly connected with the two fixed bottom platforms, and the two ends of the display operation platform are respectively and fixedly connected with the side limiting fixing seats; the method has the advantages that the curve of the mathematical function is displayed in an image-based manner; matching with a convertible and extensible chain, and forming a function line for displaying after matching with a numerical value end point to be fixed in a four-quadrant; the function line of the curve can be displayed by matching with a function formula; the dynamically formed function curve can also be displayed according to actual requirements.
Description
Technical Field
The invention relates to the field of mathematical teaching, in particular to a mathematical teaching simulation model.
Background
The teaching simulation model is generally applied to a tool for displaying a part of imaginable knowledge points in a teaching process; 202021403964.8 discloses a mathematics fixed point model, which comprises a device shell, wherein a square hole is arranged on the device shell, a clamping plate is movably connected in the square hole, a coordinate system is marked on the side wall of the square hole, scale lines are transversely marked in the square hole, four grooves are vertically arranged in the square hole, a threaded shaft is rotationally connected in each groove, the bottom end of the threaded shaft is connected with a knob, the knob rotates in the device shell, a sliding block is sleeved on the threaded shaft, the top end of the sliding block is connected with a rubber block, the threaded shaft, the knob, the sliding block and the rubber block are arranged in the device shell, the clamping plate is conveniently adjusted to conform to the bending radian of the fixed point model, fixed blocks, clamping grooves, buttons, fixed clamping blocks, tightening springs and fixed blocks are arranged at the two ends of the device shell, and the two ends of the clamping plate are fixed, the clamping plate is convenient to adjust. But the device cannot realize the visualization of the curve of the mathematical function.
Disclosure of Invention
The invention aims to provide a mathematical teaching simulation model which has the beneficial effect of realizing visualization display on a curve of a mathematical function.
The purpose of the invention is realized by the following technical scheme:
the invention aims to provide a mathematical teaching simulation model which comprises two function display chains, a display operation platform, two fixed bottom platforms and side limiting fixing seats, wherein the function display chains are arranged at the middle ends of the upper end and the lower end of the display operation platform in a sliding mode, the lower end of the display operation platform is uniformly and fixedly connected with the two fixed bottom platforms, and the two ends of the display operation platform are respectively and fixedly connected with the side limiting fixing seats.
The function display chain comprises two side end adjusting seats, a plurality of extension hinging seats, a plurality of chain seats, a central chain seat, a fixed end inner extension sliding chute and a sliding end inner extension sliding chute, wherein the two ends of the inner wall of each side end adjusting seat are respectively provided with the fixed end inner extension sliding chute, the inner walls of the two ends of each chain seat are respectively provided with the sliding end inner extension sliding chute, and the two ends of each extension hinging seat are respectively in sliding hinge connection with the inner extension sliding chute and the sliding end inner extension sliding chute through limiting sliding shafts; the two chain seats are slidably hinged through the extension hinge seat; both ends of the central chain seat are slidably hinged with the chain seat through the extension hinge seat.
The side end adjusting seat is fixedly connected with an adjusting threaded seat connected with a driver, the side end adjusting seat is longitudinally and slidably connected with a side limiting fixed seat through the limiting of the adjusting threaded seat, the adjusting threaded seat is connected with a screw shaft used for driving through threaded fit, and the screw shaft is connected with a side end driver fixed by driving in a reciprocating mode through a coupler and is rotatably connected with the side end of the display operating platform; the side end driver is fixedly connected to the side limiting fixing seat.
A plurality of inner driving sliding grooves are uniformly arranged in the display operating platform side by side, and the inner walls of the inner driving sliding grooves are provided with limiting sliding grooves; the center fixedly connected with of show operation panel front end is used for the Y axle fixed station of reference, and the right-hand member fixedly connected with of show operation panel is used for the X axle fixed station of reference.
And scales are bonded on the Y-axis fixing table and the X-axis fixing table.
The function display chain is limited through a central chain seat on the function display chain, and the central chain seat is longitudinally fixed through a central hinge seat, a central hinge rod and a central driving platform, so that the whole function is conveniently formed and allocated, and an effective longitudinal position and numerical reference is conveniently formed; through the drive of central driver, make the rotation of interior screw rod sleeve and then drive the inside and outside extension of central screw rod axle, and then slide in the interior drive spout of drive center drive table in the show operation panel, and then through central articulated rod and the articulated seat jack-up of center chain seat or shrink, and then confirm the position of the vertical numerical value of center chain seat, the extreme point of cooperation both sides, the value of function is carried out to better convenience, thinks into effective fashioned function curve.
Compared with the prior art, the technical scheme provided by the invention has the following beneficial effects that the visualization display is realized for the curve of the mathematical function; matching with a convertible and extensible chain, and forming a function line for displaying after matching with a numerical value end point to be fixed in a four-quadrant; the function line of the curve can be displayed by matching with a function formula; the dynamically formed function curve can also be displayed according to actual requirements.
Drawings
FIG. 1 is a first schematic view of a function display chain according to the present invention;
FIG. 2 is a second schematic view of the function display chain of the present invention;
FIG. 3 is a schematic view of the adjusting screw socket of the present invention;
FIG. 4 is a schematic view of the structure of the adjusting threaded socket connection of the present invention;
FIG. 5 is a schematic view of the structure of the chain mount of the present invention;
FIG. 6 is a schematic view of the center chain mount of the present invention;
FIG. 7 is a schematic view of a portion of the chain mount of the present invention;
FIG. 8 is a schematic structural view of a display console of the present invention;
FIG. 9 is a schematic diagram of the end point longitudinal drive adjustment of the present invention;
FIG. 10 is a schematic view of the configuration of the center chain mount adjustment of the present invention;
FIG. 11 is a first schematic view of the configuration of the adjustment of a portion of the chain mount of the present invention;
FIG. 12 is a second schematic structural view of the adjustment of a portion of the chain mount of the present invention;
FIG. 13 is a schematic structural view of a portion of a connector rod of the present invention;
FIG. 14 is a first overall schematic configuration of the present invention;
fig. 15 is a second overall configuration diagram of the present invention.
In the figure; a function display chain 1; a side end adjusting seat 2; the hinge base 3 is extended; a chain seat 4; a center chain base 5; an adjusting screw seat 6; a fixed end is internally provided with an extension chute 7; a sliding end is internally provided with an extension chute 8; a central articulated seat 9; a partial joint shaft 10; a display operation table 11; two fixed base tables 12; a side limit fixing seat 13; a side end driver 14; a screw shaft 15; an inner drive chute 16; a Y-axis fixing table 17; an X-axis fixing table 18; a central hinge rod 19; a center drive stage 20; a central screw shaft 21; an inner screw sleeve 22; a central driver 23; a trimmer 24; a fine-tuning drive stage 25; partially engaging the driver 26; a partial joint rod 27; semi-circular hinge table 28
Detailed Description
The present invention will be described in further detail with reference to the accompanying drawings.
As shown in the embodiments illustrated herein,
the two function display chains 1 are arranged at the upper end and the lower end of the display operation table 11, various function lines are formed by the sliding forms of the two function display chains 1 in the display operation table 11, the diversity display is carried out in four quadrants on the display operation table 11 by the two function display chains 1, and the forms of the chains are changed by adjusting, so that the influence of each numerical value in the function change process is more shown like the appearance; meanwhile, through control, the change of the function curve can be dynamically displayed, so that the effect of function change can be better displayed by matching with a function formula in the whole teaching process of the function.
Further optimization in conjunction with the above examples:
further working processes according to an example of the mathematical education simulation model shown in fig. 1, fig. 2, fig. 3 and fig. 4 are as follows:
the side end adjusting seats 2 at the two ends of the function display chain 1 are used for limiting and fixing the positions of the two ends of the function display chain 1, and further determining the positions of function curves at end lines of the two ends; through the connection of the slip extension between articulated seat 3 of a plurality of extensions, a plurality of chain seat 4 and central chain seat 5, make whole function show chain 1 when the show changes the form, the angle transition between each chain seat 4 is more smooth, is realizing the dynamic show in-process simultaneously, and the motion effect is more smooth and easy, avoids appearing influencing the interference.
Further optimization in conjunction with the above examples:
further working processes according to an example of the mathematical education simulation model shown in fig. 1, fig. 2, fig. 3 and fig. 9 are as follows:
the threaded seat 6 is adjusted in a limited sliding mode on the side limiting fixed seat 13, the longitudinal positions of the side end adjusting seat 2 and the threaded seat 6 are guaranteed, and the numerical values of two end points are determined when the whole function display chain 1 is displayed; through the frequency conversion drive of side driver 14, and then drive screw shaft 15 is rotatory to drive and adjust the side on the screw seat 6 and adjust seat 2 longitudinal sliding connection on side spacing fixing base 13, and then make the side at the both ends of whole function show chain 1 adjust seat 2 can fix on demand numerical value, also can cooperate the developments, reciprocating motion in appointed interval makes whole function show chain 1 be in the dynamic effect.
Further optimization in conjunction with the above examples:
further working processes according to an example of the mathematical education simulation model shown in fig. 1, 8, 14 and 15 are as follows:
the whole device is fixed through foundation bolts through two fixed bottom tables 12 on a display operating platform 11, and limited driving is realized through inner driving chutes 16 which are arranged in the display operating platform 11 side by side; the formation and reference of the four quadrants is determined by showing the Y-axis table 17 and the X-axis table 18 on the table 11.
Further optimization in conjunction with the above examples:
further working processes according to an example of the mathematical education simulation model shown in fig. 1, 8, 14 and 15 are as follows:
the scale scales arranged on the Y-axis fixing table 17 and the X-axis fixing table 18 are used for carrying out numerical reference comparison on the function display chain 1 forming the function curve, and the function display chain 1 in a fixed form is combined to form a curve with a fixed numerical value; and combining the dynamic state to form a more reasonable form according to the numerical value for reference.
Further optimization in conjunction with the above examples:
further working processes according to an example of the mathematical education simulation model shown in fig. 1, fig. 6, fig. 8 and fig. 10 are as follows:
the function display chain is limited through the central chain seat 5 on the function display chain 1, and the central chain seat 5 is longitudinally fixed through the central hinge seat 9, the central hinge rod 19 and the central driving platform 20, so that the whole function is conveniently formed and allocated, and an effective longitudinal position and numerical reference are conveniently formed; through the drive of central driver 23, make interior screw sleeve 22 rotatory and then drive the inside and outside extension of central screw shaft 21, and then drive central drive platform 20 and slide in the interior drive spout 16 of show operation panel 11, and then through central articulated rod 19 and central articulated seat 9 with central chain seat 5 jack-up or shrink, and then confirm the position of the vertical numerical value of central chain seat 5, the terminal point of cooperation both sides, the value of function is conveniently carried out better, think into effectively fashioned function curve.
Further optimization in conjunction with the above examples:
further working processes according to an example of the mathematical education simulation model shown in fig. 1, fig. 6, fig. 8 and fig. 10 are as follows:
through the center hinge base 9 and the center hinge rod 19 which are always in the shape of being overlapped with the scale on the Y-axis fixing table 17, the Y-axis at the longitudinal position 0 is more accurately fixed in value when the formed function curve is adopted, and the matched function curve is formed.
Further optimization in conjunction with the above examples:
further working processes according to an example of the mathematical education simulation model shown in fig. 1, fig. 6, fig. 8 and fig. 10 are as follows:
through when using the teaching aid, be located the articulated seat of initial condition's center articulated rod 19 on the articulated seat of center 9 and can avoid appearing backdrive and interfering the driven effect for the slope form in using the drive process, and then influence the use of whole device function value.
Further optimization in conjunction with the above examples:
further working processes according to an example of the mathematical education simulation model shown in fig. 1, fig. 6, fig. 8 and fig. 10 are as follows:
the central screw shaft 21 and the inner screw sleeve 22 are rotatably connected in the display operating platform 11, so that the central driver 23 can be conveniently fixed and driven, and further the central screw shaft 21 and the inner screw sleeve 22 can be ensured to be used for driving and controlling the central driving platform 20, and the observation and the use are convenient.
Further optimization in conjunction with the above examples:
further working processes according to an example of the mathematical education simulation model shown in fig. 1, fig. 2, fig. 5 and fig. 6 are as follows:
the end faces of the chain seat 4 and the central chain seat 5 are arc-shaped, so that a better visual effect can be achieved when the function of the curve is used, and meanwhile, according to numerical value collection, the phenomenon that a larger numerical value collection error occurs and the function collection impression is influenced is avoided.
Further optimization in conjunction with the above examples:
further, two ends of the partial chain seat 4 are transversely and fixedly connected with partial joint shafts 10 for jointing respectively.
The working process of the part according to the example of the mathematical education simulation model shown in the figures 1, 2, 10 and 11 is as follows:
part of the connecting shafts 10 are fixed on part of the chain seats 4, and when the function display chain 1 of an arc curve is required to be formed usually, the numerical values at the middle end and the two ends are fixed, the fixed end points at the two ends are pulled by the numerical value of the driving part to form an arc numerical value, and the corresponding curve function is obtained by matching with a function formula; and the whole function curve can form a dynamic pattern by matching with frequency conversion control.
Further optimization in conjunction with the above examples:
further, one end of a partial joint rod 27 for engagement is hinged to the partial joint shaft 10, the other end of the partial joint rod 27 is hinged to a fine actuator 24 for engagement driving, and a hinge shaft is fixedly connected to the fine actuator 24.
The working process of the part according to the example of the mathematical education simulation model shown in the figures 1, 2, 11 and 12 is as follows:
by connecting the partial joint shafts 10 on the partial chain stays 4 when it is desired to connect them, by connecting the partial joint rods 27 between the trimmer 24 and the partial joint shafts 10 and then operating the partial joint driver 26 as with the center chain stay 5 to drive them to a suitable value, an arc-shaped curve is formed by pulling the end points or center points fixed at both ends.
Further optimization in conjunction with the above examples:
the fine adjuster 24 is transversely connected to a fine adjustment driving table 25 for linkage driving through a limit slider in a sliding manner, and the fine adjustment driving table 25 is connected to the inner driving sliding groove 16 through the limit slider in a sliding manner; the fine adjustment drive stage 25 is connected to a partial engagement drive 26 for driving in the same manner as the central drive stage 20, the partial engagement drive 26 being fixedly connected to the display table 11.
The working process of the part according to the example of the mathematical education simulation model shown in the figures 1, 2, 11 and 12 is as follows:
the fine adjuster 24 is adjusted through threads on the fine adjustment driving table 25, so that the fine adjuster 24 is subjected to transverse fine adjustment, transverse numerical values are conveniently determined, and the connecting rod 27 of the rear connecting part is determined to form a more accurate function curve; through the frequency conversion control of partial joining driver 26 and the frequency conversion control of both ends and well end, combine the effect that function show chain 1 and tensile turned to, make whole function show chain 1 can rotate at show operation panel 11 developments, and then form the function curve of better developments and be used for the teaching.
Further optimization in conjunction with the above examples:
further, both ends of the partial joint rod 27 are respectively hinged with a semicircular hinging table 28 for closing through a short shaft, and the semicircular hinging table 28 and the side end of the partial joint rod 27 form a cylinder and are fixedly connected to the partial joint rod 27 through an extension plate thread.
The working process of the part according to the example of the mathematical education simulation model shown in the figures 12, 13, 14 and 15 is as follows:
the semi-circular hinging table 28 is hinged at two ends of the partial connecting rod 27 and is used for fastening the hinging shaft on the partial connecting shaft 10 and the trimmer 24 and is fixed by bolts, so that the temporary connecting device is convenient for temporary connecting use and disassembly; when the linear function is formed, the connection is not needed, and when the curve and the dynamic state are needed, the function curve can be better formed by the connection.
Claims (10)
1. The utility model provides a mathematical education simulation model, includes two function show chains (1), show operation panel (11), two fixed base stations (12) and side spacing fixing base (13), its characterized in that: the middle ends of the upper end and the lower end of the display operation platform (11) are provided with function display chains (1) in a sliding mode, the lower end of the display operation platform (11) is uniformly and fixedly connected with two fixed base platforms (12), and the two ends of the display operation platform (11) are fixedly connected with side limiting fixing seats (13) respectively.
2. The mathematical education simulation model according to claim 1, wherein the function display chain (1) comprises two side end adjusting seats (2), a plurality of extension hinging seats (3), a plurality of chain seats (4) and a central chain seat (5), a fixed end inner extension sliding chute (7) and a sliding end inner extension sliding chute (8), wherein the fixed end inner extension sliding chute (7) is arranged at two ends of the inner wall of the side end adjusting seat (2), the sliding end inner extension sliding chute (8) is arranged at the inner wall of two ends of the chain seat (4), and two ends of the extension hinging seat (3) are respectively and slidably hinged in the inner extension sliding chute (7) and the sliding end inner extension sliding chute (8) through a limiting sliding shaft; the two chain seats (4) are slidably hinged through the extension hinge seat (3); both ends of the central chain seat (5) are slidably hinged with the chain seats (4) through the extension hinge seats (3).
3. A mathematical education simulation model according to claim 2, wherein the side end adjusting seat (2) is fixedly connected with an adjusting threaded seat (6) connected with a drive, the side end adjusting seat (2) is limited by the adjusting threaded seat (6) and longitudinally and slidably connected with a side limiting fixed seat (13), the adjusting threaded seat (6) is connected with a screw shaft (15) used for driving in a threaded fit manner, and the screw shaft (15) is connected with a side end driver (14) fixed with a drive reciprocating drive and rotatably connected with the side end of the display operation platform (11) through a coupler; the side end driver (14) is fixedly connected to the side limit fixing seat (13).
4. The mathematical teaching simulation model according to claim 1, wherein a plurality of inner driving sliding chutes (16) are uniformly arranged in the display operation table (11) side by side, and the inner walls of the inner driving sliding chutes (16) are provided with limiting sliding chutes; a Y-axis fixing table (17) for reference is fixedly connected to the center of the front end of the display operation table (11), and an X-axis fixing table (18) for reference is fixedly connected to the right end of the display operation table (11).
5. A mathematical education simulation model according to claim 4, wherein scales are adhered to the Y-axis fixing table (17) and the X-axis fixing table (18).
6. A mathematical education simulation model according to claim 2, wherein both ends of the central chain seat (5) are respectively provided with a central hinge seat (9) for central driving and fixing; the center hinging seat (9) is hinged with a center hinging rod (19) used for connecting and driving, the center hinging rod (19) is hinged on a center driving platform (20) used for limiting and driving, the center driving platform (20) is connected in an inner driving sliding groove (16) through a limiting sliding block in a sliding manner, the side end of the center driving platform (20) is rotatably provided with a center screw shaft (21) used for connecting and driving, the center screw shaft (21) is connected in an inner screw sleeve (22) used for connecting and driving through threaded fit, the inner screw sleeve (22) is connected on a transmission shaft of a center driver (23) used for driving a longitudinal position through a coupling, and the center driver (23) is fixed on the display operation platform (11) through a motor fixing seat.
7. A mathematical education simulator according to claim 6, wherein the central hinge base (9) and the central hinge rod (19) are longitudinally coincident with the scale on the Y-axis fixed table (17) at all times.
8. A mathematical education simulator according to claim 7, wherein the central hinge rod (19) in the initial position of the central hinge seat (9) is inclined.
9. A mathematical education simulator according to claim 8, wherein the central screw shaft (21) and the internal screw sleeve (22) are both rotatably connected within the display console (11).
10. A mathematical education simulation model according to claim 2, wherein the end faces of the chain seats (4) and the central chain seat (5) are both arc-shaped.
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| CN113327491B (en) | 2021-11-19 |
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