CN112208245A - Calculus mathematics presentation device - Google Patents

Calculus mathematics presentation device Download PDF

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Publication number
CN112208245A
CN112208245A CN202011111423.2A CN202011111423A CN112208245A CN 112208245 A CN112208245 A CN 112208245A CN 202011111423 A CN202011111423 A CN 202011111423A CN 112208245 A CN112208245 A CN 112208245A
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CN
China
Prior art keywords
guide rod
displacement sensor
vertical
horizontal
demonstration
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Granted
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CN202011111423.2A
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CN112208245B (en
Inventor
朱辉
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Jiangxi University of Finance and Economics
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Jiangxi University of Finance and Economics
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Publication of CN112208245B publication Critical patent/CN112208245B/en
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B43WRITING OR DRAWING IMPLEMENTS; BUREAU ACCESSORIES
    • B43LARTICLES FOR WRITING OR DRAWING UPON; WRITING OR DRAWING AIDS; ACCESSORIES FOR WRITING OR DRAWING
    • B43L1/00Repeatedly-usable boards or tablets for writing or drawing
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B43WRITING OR DRAWING IMPLEMENTS; BUREAU ACCESSORIES
    • B43LARTICLES FOR WRITING OR DRAWING UPON; WRITING OR DRAWING AIDS; ACCESSORIES FOR WRITING OR DRAWING
    • B43L11/00Non-circular-curve-drawing instruments

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Abstract

The invention provides a calculus mathematics demonstration device, which belongs to the field of teaching equipment.A demonstration module comprises a main frame, a demonstration board, a horizontal adjustment module and a vertical adjustment module, wherein a first displacement sensor of the horizontal adjustment module is arranged on the left side of the demonstration board; a second displacement sensor of the vertical adjusting module is arranged at the lower side of the demonstration board, a vertical guide rod is arranged above the demonstration board, one end of the vertical guide rod is connected with the main frame in a sliding manner, and the other end of the vertical guide rod is fixedly connected with the second displacement sensor and the vertical position adjusting mechanism in sequence; the horizontal guide rod passes through the vertical guide rod. The device can demonstrate the drawing process of calculus curve in image, arouses the interest of student's study, improves the teaching quality.

Description

Calculus mathematics presentation device
Technical Field
The invention belongs to the field of teaching equipment, and particularly relates to a calculus mathematics demonstration device.
Background
Calculus (Calculus) is the mathematical branch of Differentiation (Differentiation), Integration (Integration) and related concepts and applications of the study functions in higher mathematics. The differential describes the local properties of the object motion and the integral describes the global properties of the object motion. The content of calculus includes limit, differential, integral and its application, which is a discipline for studying change and motion. Since calculus is a method for researching change rules, as long as the research related to change and movement is related to calculus, the basic principle and method of calculus are required to be applied, and in this sense, the establishment of calculus has great promotion effect on the progress of human society and the development of human material civilization. At present, in some social science fields such as finance, economy and the like, the principle of calculus is also often applied to research the macroscopic and microscopic changes of the whole society and the whole economy. In addition, calculus is widely used in various engineering techniques, which directly affects human physical life, such as: the construction of building industry, aviation industry and nuclear power engineering, the launching of rockets and airships, and the like, and the significant activities of the human civilization are closely related to the application of calculus. The creation of the micro-integral subject greatly promotes the development of mathematics per se, influences and promotes the development of other subjects, and further influences the production time of the human society.
Therefore, in the teaching of colleges and universities, calculus has become an indispensable mathematical teaching subject. However, compared with other subjects, the calculus is a very boring and tedious subject with certain difficulty, and is abstract in learning and not easy to understand intuitively. In order to enable students to easily understand the principle of calculus and to stimulate the enthusiasm of the students, the teaching contents are usually demonstrated by using certain auxiliary tools, such as a calculus teaching demonstration device. The existing demonstration device generally comprises a teaching board, a transverse shaft and a longitudinal shaft which are perpendicular to each other and arranged on the teaching board, wherein special points are determined by moving the position of the shaft, and different points are connected to form various curves for demonstrating a calculus structure, so that calculus learning is more flexible and interesting.
However, the existing demonstration devices move the horizontal axis and the vertical axis manually, and the corresponding scale marks are referenced during the movement. The method greatly occupies teaching time, has certain errors, low precision and no reproducibility.
Therefore, the application provides a calculus mathematics presentation device.
Disclosure of Invention
In order to overcome the defects of the prior art, the invention provides a calculus mathematics demonstration device.
In order to achieve the above purpose, the invention provides the following technical scheme:
a calculus mathematics demonstration device comprises a controller, an input module, a support frame and a demonstration module arranged at the top of the support frame; the demonstration module comprises a main frame, a demonstration board, a horizontal adjusting module and a vertical adjusting module, wherein the demonstration board, the horizontal adjusting module and the vertical adjusting module are arranged in the main frame;
the horizontal adjusting module comprises a horizontal position adjusting mechanism, a first displacement sensor and a horizontal guide rod, the first displacement sensor is arranged on the left side of the demonstration board, and the horizontal position adjusting mechanism is arranged on the outer side of the first displacement sensor; the horizontal guide rod is arranged above the demonstration board, one end of the horizontal guide rod is connected with the main frame in a sliding mode, and the other end of the horizontal guide rod is fixedly connected with the displacement detection block of the first displacement sensor and the horizontal position adjusting mechanism in sequence; the horizontal position adjusting mechanism drives the horizontal guide rod to move up and down;
the vertical adjusting module comprises a vertical position adjusting mechanism, a second displacement sensor and a vertical guide rod, the second displacement sensor is arranged at the lower side of the demonstration board, the vertical position adjusting mechanism is arranged at the outer side of the second displacement sensor, the vertical guide rod is arranged above the demonstration board, one end of the vertical guide rod is connected with the main frame in a sliding mode, and the other end of the vertical guide rod is fixedly connected with the displacement detecting block of the second displacement sensor and the vertical position adjusting mechanism in sequence; the vertical position adjusting mechanism drives the vertical guide rod to move left and right;
a first through groove is formed in the middle of the horizontal guide rod along the vertical direction, the vertical guide rod penetrates through the first through groove, second through grooves communicated with the first through groove are further formed in the outer walls of the horizontal guide rods on the two sides of the first through groove along the horizontal direction, and pen placing through holes communicated with the second through grooves are formed in the positions, staggered with the horizontal guide rods, of the vertical guide rods;
the input module, the first displacement sensor, the second displacement sensor and the power modules of the vertical position adjusting mechanism and the horizontal position adjusting mechanism are electrically connected with the controller.
Preferably, the vertical position adjusting mechanism and the horizontal position adjusting mechanism both comprise lead screw motors, lead screws and sliders, a fixed block is arranged at the lower left corner inside the main frame, the two lead screw motors are respectively fixed at the top and the side wall of the main frame, one end of each of the two lead screws is respectively in transmission connection with one lead screw motor, the other end of each of the two lead screws is respectively in transmission connection with the top and the side part of the fixed block, the two sliders are respectively in threaded connection with the two lead screws, the other end of each of the horizontal guide rods is fixedly connected with one slider, and the other end of each of the vertical guide rods is fixedly connected with the; and the two screw motors are electrically connected with the signal input end of the controller.
Preferably, the first displacement sensor and the second displacement sensor are both float type displacement sensors, sleeve holes are formed in the horizontal guide rod and the vertical guide rod, and floats of the first displacement sensor or the second displacement sensor are respectively arranged in the sleeve holes of the horizontal guide rod or the vertical guide rod and fixedly connected with the horizontal guide rod or the vertical guide rod.
Preferably, the support frame comprises a first hydraulic lifting device, a second hydraulic lifting device and two upright posts; each upright post comprises a support rod, a first motor and a U-shaped rod; the first motor is fixed on the outer side wall of the U-shaped rod, and an output shaft of the first motor sequentially penetrates through one side wall of the U-shaped rod and one end of the supporting rod, is rotatably connected with the other side wall of the U-shaped rod and is fixedly connected with the supporting rod; the first hydraulic lifting device and the second hydraulic lifting device are respectively arranged at the lower ends of the two U-shaped rods, the inner sides of the two supporting rods are fixedly connected with the two sides of the main frame through connecting rods, and the first motor is electrically connected with the signal input end of the controller.
Preferably, the bottom of the first hydraulic lifting device is provided with a retractable roller, a gap is formed between the second hydraulic lifting device and the corresponding U-shaped rod, the inner side of the top of the second hydraulic lifting device is provided with a second motor, and an output shaft of the second motor penetrates through the second hydraulic lifting device and is fixedly connected with the lower end of the U-shaped rod.
Preferably, the input module is arranged at the bottom or the side of the main frame.
Preferably, the left side edge and the lower side edge of the demonstration board are provided with scale marks.
Preferably, the demonstration board is an electronic touch screen, and the electronic touch screen is electrically connected with the controller.
The invention provides a calculus mathematics demonstration device, which comprises a controller, an input module, a support frame and a demonstration module arranged at the top of the support frame; the demonstration module comprises a main frame, a demonstration board, a horizontal adjusting module and a vertical adjusting module, wherein the demonstration board, the horizontal adjusting module and the vertical adjusting module are arranged in the main frame; can the position of alignment mark point through horizontal adjustment module and vertical adjustment module, through marking a plurality of setpoint alright help drawing of calculus curve, the teacher can be at the in-process of teaching explanation enough vivid demonstration calculus curve's drawing process, can adjust the device to suitable height and angle to the demonstration of imparting knowledge to students as required during the use, the precision is high, has reproducibility, improve the travelling comfort that the teacher used, the interest of student's study has been aroused, teaching efficiency is improved, the quality of teaching has been guaranteed.
Drawings
In order to more clearly illustrate the embodiments of the present invention and the design thereof, the drawings required for the embodiments will be briefly described below. The drawings in the following description are only some embodiments of the invention and it will be clear to a person skilled in the art that other drawings can be derived from them without inventive effort.
Fig. 1 is a schematic structural view of a calculus mathematical demonstration apparatus according to embodiment 1 of the present invention;
FIG. 2 is a partial view of portion A of FIG. 1;
fig. 3 is a partial view of part B of fig. 1.
Description of reference numerals:
the device comprises an input module 1, a main frame 2, a horizontal adjusting module 3, a vertical adjusting module 4, a first displacement sensor 5, a horizontal guide rod 6, a second displacement sensor 7, a vertical guide rod 8, a pen placing through hole 9, a lead screw motor 10, a lead screw 11, a slider 12, a fixed block 13, a floater 14, a first hydraulic lifting device 15, a second hydraulic lifting device 16, a first motor 17, a U-shaped rod 18, a second motor 19, scale lines 20, a demonstration board 21, a support rod 22, a connecting rod 23 and a retractable roller 24.
Detailed Description
In order that those skilled in the art will better understand the technical solutions of the present invention and can practice the same, the present invention will be described in detail with reference to the accompanying drawings and specific examples. The following examples are only for illustrating the technical solutions of the present invention more clearly, and the protection scope of the present invention is not limited thereby.
In the description of the present invention, it is to be understood that the terms "center", "longitudinal", "lateral", "length", "width", "thickness", "upper", "lower", "front", "rear", "left", "right", "vertical", "horizontal", "top", "bottom", "inner", "outer", "axial", "radial", "circumferential", etc. indicate orientations or positional relationships based on those shown in the drawings, and are only for convenience of describing technical solutions of the present invention and simplifying the description, but do not indicate or imply that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and thus, should not be construed as limiting the present invention.
Furthermore, the terms "first," "second," and the like are used for descriptive purposes only and are not to be construed as indicating or implying relative importance. In the description of the present invention, it should be noted that, unless explicitly stated or limited otherwise, the terms "connected" and "connected" are to be interpreted broadly, e.g., as a fixed connection, a detachable connection, or an integral connection; can be mechanically or electrically connected; may be directly connected or indirectly connected through an intermediate. The specific meanings of the above terms in the present invention can be understood by those skilled in the art according to specific situations. In the description of the present invention, unless otherwise specified, "a plurality" means two or more, and will not be described in detail herein.
Example 1
The invention provides a calculus mathematics demonstration device, which is particularly shown in figures 1 to 3 and comprises a controller, an input module 1, a support frame and a demonstration module arranged at the top of the support frame; the demonstration module comprises a main frame 2, a demonstration board 21 arranged in the main frame 2, a horizontal adjusting module 3 and a vertical adjusting module 4, and the controller is arranged at the back of the main frame 2; the demonstration board 21 is used for drawing demonstration graphics.
The horizontal adjusting module 3 comprises a horizontal position adjusting mechanism, a first displacement sensor 5 and a horizontal guide rod 6, wherein the first displacement sensor 5 is arranged on the left side of the demonstration board 21, and the horizontal position adjusting mechanism is arranged on the outer side of the first displacement sensor 5; the horizontal guide rod 6 is arranged above the demonstration board 21, one end of the horizontal guide rod is connected with the main frame 2 in a sliding mode, and the other end of the horizontal guide rod is fixedly connected with the displacement detection block of the first displacement sensor 5 and the horizontal position adjusting mechanism in sequence; the horizontal position adjusting mechanism drives the horizontal guide rod 6 to move up and down;
the vertical adjusting module 4 comprises a vertical position adjusting mechanism, a second displacement sensor 7 and a vertical guide rod 8, the second displacement sensor 7 is arranged at the lower side of the demonstration board 21, the vertical position adjusting mechanism is arranged at the outer side of the second displacement sensor 7, the vertical guide rod 8 is arranged above the demonstration board 21, one end of the vertical guide rod is connected with the main frame 2 in a sliding manner, and the other end of the vertical guide rod is sequentially fixedly connected with a displacement detecting block of the second displacement sensor 7 and the vertical position adjusting mechanism; the vertical position adjusting mechanism drives the vertical guide rod 8 to move left and right;
a first through groove is formed in the middle of the horizontal guide rod 6 along the vertical direction, the vertical guide rod 8 penetrates through the first through groove, a second through groove communicated with the first through groove is further formed in the outer wall of the horizontal guide rod 6 on the two sides of the first through groove along the horizontal direction, and a pen placing through hole 9 communicated with the second through groove is formed in the vertical guide rod 8 at the position staggered with the horizontal guide rod 6; the positions of the marking points can be determined at the intersection points through the synchronous horizontal or vertical movement of the horizontal guide rod 6 and the vertical guide rod 8, and the drawing of the demonstration graph can be assisted by searching a plurality of marking points.
The input module 1, the first displacement sensor 5, the second displacement sensor 7, and the power modules of the vertical position adjusting mechanism and the horizontal position adjusting mechanism are all electrically connected with the controller. The marking point parameters are input to the control through the input module 1, the horizontal guide rod 6 and the vertical guide rod 8 are driven to move through the vertical position adjusting mechanism and the horizontal position adjusting mechanism, the specific moving positions are collected through the first displacement sensor 5 and the second displacement sensor 7 in the moving process, when the position of the moving point is reached, the vertical position adjusting mechanism and the horizontal position adjusting mechanism stop moving, a marker pen can be inserted into the pen placing through hole 9, and the position of the marking point is determined at the intersection point.
Further, in this embodiment, each of the vertical position adjustment mechanism and the horizontal position adjustment mechanism includes a screw motor 10, a screw 11 and a slider 12, a fixed block 13 is disposed at the lower left corner inside the main frame 2, the two screw motors 10 are respectively fixed at the top and the side wall of the main frame 2, one end of each of the two screws 11 is in transmission connection with one screw motor 10, the other end of each of the two screws 11 is in transmission connection with the top and the side of the fixed block 13, the two sliders 12 are respectively in threaded connection with the two screws 11, the other end of the horizontal guide rod 6 is fixedly connected with one slider 12, and the other end of the vertical guide rod 8 is fixedly; the two screw motors 10 are electrically connected with the signal input end of the controller. The present embodiment realizes the movement of the horizontal guide bar 6 and the vertical guide bar 8 by the screw mechanism.
Further, in this embodiment, the first displacement sensor 5 and the second displacement sensor 7 are both float type displacement sensors, sleeve holes are respectively formed in the horizontal guide rod 6 and the vertical guide rod 8, and the float 14 of the first displacement sensor 5 or the second displacement sensor 7 is respectively arranged in the sleeve hole of the horizontal guide rod 6 or the vertical guide rod 8 and is fixedly connected with the horizontal guide rod 6 or the vertical guide rod 8. Since the float-type displacement sensor uses the movement of the float to acquire the position, the design purpose and requirements of the present application are met.
Specifically, in the present embodiment, the supporting frame includes a first hydraulic lifting device 15, a second hydraulic lifting device 16, and two columns; each upright comprises a support rod 22, a first motor 17 and a U-shaped rod 18; the first motor 17 is fixed on the outer side wall of the U-shaped rod 18, and an output shaft of the first motor 17 sequentially penetrates through one side wall of the U-shaped rod 18 and one end of the supporting rod 22, is rotatably connected with the other side wall of the U-shaped rod (18), and is fixedly connected with the supporting rod 22; the first hydraulic lifting device 15 and the second hydraulic lifting device 16 are respectively arranged at the lower ends of the two U-shaped rods 18, the inner sides of the two support rods 22 are fixedly connected with the two sides of the main frame 2 through connecting rods 23, and the first motor 17 is electrically connected with a signal input end of the controller. Through the height of first hydraulic pressure elevating gear 15, second hydraulic pressure elevating gear 16 and regulation main frame 2, can drive bracing piece 22 through first motor 17 simultaneously and rotate, and then adjust the main frame 2 around the pivoted angle of first motor 17.
In order to meet the requirement of viewing from more angles, in this embodiment, the bottom of the first hydraulic lifting device 15 is provided with a retractable roller 24, a gap is formed between the second hydraulic lifting device 16 and the corresponding U-shaped rod 18, the inner side of the top of the second hydraulic lifting device 16 is provided with a second motor 19, and an output shaft of the second motor 19 passes through the second hydraulic lifting device 16 and is fixedly connected with the lower end of the U-shaped rod 18. The main frame 2 can be driven to rotate within 360 degrees by the second motor 19.
Further, in the present embodiment, the input module 1 is disposed at the bottom or the side of the main frame 2.
For the convenience of viewing, in the present embodiment, the left and lower side edges of the demonstration board 21 are provided with scale lines 20.
Meanwhile, in this embodiment, the demonstration board 21 may also be an electronic touch screen, the electronic touch screen is electrically connected to the controller, the controller may send the detected value to the electronic touch screen, and the demonstration and reproduction of the drawing result may be performed through the demonstration board 21.
The calculus mathematics demonstration device provided by the embodiment of the invention has a flexible structure, and a teacher can vividly demonstrate the drawing process of a calculus curve in the teaching and explaining process, and can adjust the device to a proper height and angle for teaching demonstration according to needs during use, so that the comfort of the teacher in use is improved, the learning interest of students is stimulated, the teaching efficiency is improved, and the teaching quality is ensured.
The above-mentioned embodiments are only preferred embodiments of the present invention, and the scope of the present invention is not limited thereto, and any simple modifications or equivalent substitutions of the technical solutions that can be obviously obtained by those skilled in the art within the technical scope of the present invention are included in the scope of the present invention.

Claims (8)

1. A calculus mathematics demonstration device is characterized by comprising a controller, an input module (1), a support frame and a demonstration module arranged at the top of the support frame; the demonstration module comprises a main frame (2), a demonstration board (21) arranged in the main frame (2), a horizontal adjusting module (3) and a vertical adjusting module (4), and the controller is arranged at the back of the main frame (2);
the horizontal adjusting module (3) comprises a horizontal position adjusting mechanism, a first displacement sensor (5) and a horizontal guide rod (6), the first displacement sensor (5) is arranged on the left side of the demonstration board (21), and the horizontal position adjusting mechanism is arranged on the outer side of the first displacement sensor (5); the horizontal guide rod (6) is arranged above the demonstration plate (21), one end of the horizontal guide rod is connected with the main frame (2) in a sliding mode, and the other end of the horizontal guide rod is fixedly connected with the displacement detection block of the first displacement sensor (5) and the horizontal position adjusting mechanism in sequence; the horizontal position adjusting mechanism drives the horizontal guide rod (6) to move up and down;
the vertical adjusting module (4) comprises a vertical position adjusting mechanism, a second displacement sensor (7) and a vertical guide rod (8), the second displacement sensor (7) is arranged on the lower side of the demonstration board (21), the vertical position adjusting mechanism is arranged on the outer side of the second displacement sensor (7), the vertical guide rod (8) is arranged above the demonstration board (21), one end of the vertical guide rod is slidably connected with the main frame (2), and the other end of the vertical guide rod is fixedly connected with a displacement detecting block of the second displacement sensor (7) and the vertical position adjusting mechanism in sequence; the vertical position adjusting mechanism drives the vertical guide rod (8) to move left and right;
a first through groove is formed in the middle of the horizontal guide rod (6) along the vertical direction, the vertical guide rod (8) penetrates through the first through groove, second through grooves communicated with the first through groove are further formed in the outer walls of the horizontal guide rod (6) on the two sides of the first through groove along the horizontal direction, and pen placing through holes (9) communicated with the second through grooves are formed in the positions, staggered with the horizontal guide rod (6), of the vertical guide rod (8);
the input module (1), the first displacement sensor (5), the second displacement sensor (7) and the power modules of the vertical position adjusting mechanism and the horizontal position adjusting mechanism are electrically connected with the controller.
2. The calculus math presentation device of claim 1 wherein the vertical position adjustment mechanism and the horizontal position adjustment mechanism each comprise a lead screw motor (10), a lead screw (11), and a slide (12), a fixed block (13) is arranged at the lower left corner inside the main frame (2), the two lead screw motors (10) are respectively fixed at the top and the side wall of the main frame (2), one end of each of the two lead screws (11) is respectively in transmission connection with one lead screw motor (10), the other end of each of the two lead screws (11) is respectively in transmission connection with the top and the side part of the fixed block (13), the two sliding blocks (12) are respectively in threaded connection with the two lead screws (11), the other end of the horizontal guide rod (6) is fixedly connected with one sliding block (12), the other end of the vertical guide rod (8) is fixedly connected with the other sliding block (12); and the two lead screw motors (10) are electrically connected with the signal input end of the controller.
3. The calculus mathematics demonstration device according to claim 1, characterized in that, the first displacement sensor (5) and the second displacement sensor (7) are float type displacement sensors, the horizontal guide rod (6) and the vertical guide rod (8) are both provided with trepanning, and the float (14) of the first displacement sensor (5) or the second displacement sensor (7) is respectively arranged in the trepanning of the horizontal guide rod (6) or the vertical guide rod (8) and is fixedly connected with the horizontal guide rod (6) or the vertical guide rod (8).
4. The calculus math presentation device of claim 1 wherein the support frame comprises a first hydraulic lifting device (15), a second hydraulic lifting device (16), and two uprights; each upright post comprises a support rod (22), a first motor (17) and a U-shaped rod (18); the first motor (17) is fixed on the outer side wall of the U-shaped rod (18), and an output shaft of the first motor (17) sequentially penetrates through one side wall of the U-shaped rod (18) and one end of the supporting rod (22), is rotatably connected with the other side wall of the U-shaped rod (18), and is fixedly connected with the supporting rod (22); the first hydraulic lifting device (15) and the second hydraulic lifting device (16) are respectively arranged at the lower ends of the U-shaped rods (18), the inner sides of the two supporting rods (22) are fixedly connected with the two sides of the main frame (2) through connecting rods (23), and the first motor (17) is electrically connected with a signal input end of the controller.
5. The calculus mathematics demonstration device according to claim 4, characterized in that the first hydraulic lifting device (15) is provided with a retractable roller (24) at the bottom, the second hydraulic lifting device (16) is provided with a gap with the corresponding U-shaped rod (18), the second hydraulic lifting device (16) is provided with a second motor (19) at the inner side of the top, and the output shaft of the second motor (19) passes through the second hydraulic lifting device (16) and is fixedly connected with the lower end of the U-shaped rod (18).
6. The calculus math presentation device of claim 1, wherein the input module (1) is arranged at the bottom or the side of the main frame (2).
7. The calculus math presentation device of claim 1, wherein the demonstration plate (21) is provided with graduation marks (20) on both the left and lower side edges.
8. The calculus math presentation device of claim 1 wherein the presentation board (21) is an electronic touch screen electrically connected to the controller.
CN202011111423.2A 2020-10-16 2020-10-16 Calculus mathematics presentation device Expired - Fee Related CN112208245B (en)

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CN202011111423.2A CN112208245B (en) 2020-10-16 2020-10-16 Calculus mathematics presentation device

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CN112208245B CN112208245B (en) 2022-06-14

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