Function curve generation and parameter change demonstration equipment based on junior high school mathematics

By designing a demonstration device based on the generation and parameter changes of mathematical function curves in junior high school, using a microcontroller and LCD monitor, the problem of difficult to intuitively understand the function curves in junior high school mathematics teaching is solved, and students' logical thinking and abstract thinking ability are improved.

CN222619245UActive Publication Date: 2025-03-14徐硕亨
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Patent Information

Application Number
CN202323644354.3
Authority / Receiving Office
CN · China
Patent Type
Utility models(China)
Current Assignee / Owner
Filing Date
2023-12-29
Publication Date
2025-03-14
Estimated Expiration
2033-12-29

AI Technical Summary

Technical Problem

In junior high school mathematics teaching, the generation of function curves and parameter changes are difficult to intuitively understand, which affects students' logical thinking, abstract thinking and spatial imagination development.

Method used

设计一种基于初中数学函数曲线生成与参数变化的演示设备,利用8位单片机控制器、程序接口、液晶显示器、键盘和旋钮开关,实现函数参数的调整和曲线的动态显示。

Benefits of technology

Through this device, students can intuitively observe the generation of function curves and parameter changes, improve their logical thinking and abstract thinking ability, and enhance their understanding of mathematical principles.

✦ Generated by Eureka AI based on patent content.

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Abstract

The utility model discloses a function curve generation and parameter change demonstration device based on junior high school mathematics, and relates to the field of teaching demonstration. The device comprises a single-chip microcomputer controller, a program interface, a liquid crystal display, a keyboard and a knob switch. The single-chip microcomputer controller is respectively connected with the program interface, the liquid crystal display, the keyboard and the knob switch. According to the utility model, various function curve generation ways and curve dynamic change processes after function parameter adjustment are realized by using knob operation.
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Description

Technical Field

[0001] The utility model relates to the field of teaching demonstration, and more specifically to a demonstration device based on junior high school mathematics function curve generation and parameter change. Background Art

[0002] In the teaching content of junior high school mathematics, we have learned quadratic functions, trigonometric functions and other knowledge. These knowledge are relatively abstract in the initial learning, and some knowledge points are difficult to understand and remember. In particular, it is difficult to grasp the changes and influences of the function parameters on the function in two-dimensional coordinates. Therefore, in my spare time, I used the in-class and extracurricular knowledge I learned to try to develop a set of demonstration equipment based on junior high school mathematics function curve generation and parameter change. This equipment is developed using the most common, low-cost, 8-bit single-chip microcomputer with limited program memory and computing speed. In the process of making, debugging and using the equipment, I further became familiar with the ways to generate various function curves and felt the dynamic display of the curves after the parameters changed, which can improve logical thinking, abstract thinking and spatial imagination. The cultivation and training of these abilities are helpful for the study of mathematics, physics and other subjects. In addition, it is of great significance to understand the principles of these functions as early as possible and intuitively for future scientific research, exploration and innovation. Summary of the invention

[0003] In view of this, the utility model provides a device for demonstrating function curve generation and parameter changes based on junior high school mathematics.

[0004] In order to achieve the above purpose, the utility model adopts the following technical solutions:

[0005] A device for demonstrating function curve generation and parameter changes based on junior high school mathematics comprises: a single-chip microcomputer controller, a program interface, a liquid crystal display, a keyboard, and a knob switch; the single-chip microcomputer controller is respectively connected to the program interface, the liquid crystal display, the keyboard, and the knob switch.

[0006] Optionally, a packaging device is also included, and the packaging device is connected to the single-chip microcomputer controller.

[0007] Optionally, the packaging device is DIP or SOP.

[0008] Optionally, there are multiple knob switches, which are respectively connected to the packaging device and the single-chip microcomputer control.

[0009] Optionally, the keyboard is a 4X4 keyboard array composed of micro switches.

[0010] Optionally, the program interface is used to import functions, which are processed by a single-chip microcomputer controller and displayed on a liquid crystal display.

[0011] It can be seen from the above technical solution that compared with the prior art, the utility model provides a function curve generation and parameter change demonstration device based on junior high school mathematics, which uses knob operation to realize the generation methods of various function curves after function parameter adjustment and the dynamic change process of the curve. BRIEF DESCRIPTION OF THE DRAWINGS

[0012] In order to more clearly illustrate the embodiments of the utility model or the technical solutions in the prior art, the drawings required for use in the embodiments or the description of the prior art will be briefly introduced below. Obviously, the drawings in the following description are only embodiments of the utility model. For ordinary technicians in this field, other drawings can be obtained based on the provided drawings without paying creative work.

[0013] Figure 1 It is a schematic diagram of the overall structure of the utility model;

[0014] Figure 2 This is the pin diagram of the single chip microcomputer of the utility model;

[0015] Figure 3 It is the experimental result diagram of the utility model;

[0016] Figure 4 This is the schematic diagram of a customized 4*4 keyboard of the utility model. DETAILED DESCRIPTION

[0017] The following will be combined with the drawings in the embodiments of the utility model to clearly and completely describe the technical solutions in the embodiments of the utility model. Obviously, the described embodiments are only part of the embodiments of the utility model, not all of the embodiments. Based on the embodiments in the utility model, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the utility model.

[0018] The utility model embodiment discloses a device for demonstrating the generation of function curves and parameter changes based on junior high school mathematics. Figure 1-Figure 2 , including: a single-chip microcomputer controller, a program interface, a liquid crystal display, a keyboard, and a knob switch; the single-chip microcomputer controller is connected to the program interface, the liquid crystal display, the keyboard and the knob switch respectively.

[0019] As a preferred embodiment, it further comprises a packaging device, which is connected to the single-chip microcomputer controller and is a DIP or SOP.

[0020] There are multiple knob switches, which are respectively connected to the packaging device and the single-chip microcomputer control.

[0021] As a preferred embodiment, see Figure 4, use micro switches to form a 4X4 keyboard array for original parameter settings, as a backup parameter setting tool. Use the knob step switch as an operating tool for continuous changes in function parameters. Use a universal printed circuit board for assembly and line connection. Use a mains adapter or ordinary No. 5 battery for power supply. The whole machine has low power consumption and can be powered by ordinary No. 5 batteries.

[0022] The program interface is used to import functions, which are processed by the single-chip microcomputer controller and displayed on the liquid crystal display. Specifically, the program interface is used to import new programs. On the basis of existing hardware, the functions of the single-chip microcomputer system can be continuously expanded, more function types can be added, and more functions can be realized according to the operation prompts shown on the liquid crystal display. The function formulas learned in junior high school mathematics classes are expressed in C language and displayed on the liquid crystal screen in the form of curves, realizing the demonstration of various functions and various changes after knob operation, that is, parameter adjustment.

[0023] Furthermore, in this embodiment, a 320*240 dot matrix LCD screen is used as a display device, see Figure 3 .

[0024] The above technical solution is adopted, the knob setting is completed by using the single-chip microcomputer interrupt program, and the local reading and writing method is adopted when the screen is refreshed to reduce the program execution time and improve the display efficiency. The screen refresh time is about 30 milliseconds. The response time of the knob is less than 1 second. Through repeated debugging and program optimization, the delay of image change is reduced to a minimum, and the display process is smoother. Furthermore, under limited resource conditions such as 8KB program memory of 8-bit single-chip microcomputer, a 320*240 dot matrix LCD screen can be developed and utilized to demonstrate various functions and realize various changes after parameter adjustment after knob operation, and form a set of low-power consumption physical equipment for middle school in-class and out-of-class teaching practice. The overall research purpose of hands-on practice and innovation has been achieved.

[0025] In this specification, each embodiment is described in a progressive manner, and each embodiment focuses on the differences from other embodiments. The same or similar parts between the embodiments can be referred to each other. For the device disclosed in the embodiment, since it corresponds to the method disclosed in the embodiment, the description is relatively simple, and the relevant parts can be referred to the method part.

[0026] The above description of the disclosed embodiments enables those skilled in the art to implement or use the present invention. Various modifications to these embodiments will be apparent to those skilled in the art, and the general principles defined herein may be implemented in other embodiments without departing from the spirit or scope of the present invention. Therefore, the present invention will not be limited to the embodiments shown herein, but will conform to the widest scope consistent with the principles and novel features disclosed herein.

Claims

1. A device for demonstrating function curve generation and parameter changes based on junior middle school mathematics, characterized in that: include: Single chip microcomputer controller, program interface, LCD display, keyboard, knob switch; The single chip microcomputer controller is respectively connected with the program interface, the liquid crystal display, the keyboard and the knob switch.

2. The device for demonstrating function curve generation and parameter changes based on junior middle school mathematics according to claim 1, characterized in that: It also includes a packaging device, which is connected to the single-chip microcomputer controller.

3. A device for demonstrating function curve generation and parameter changes based on junior middle school mathematics according to claim 2, characterized in that: The packaging device is packaged using DIP or SOP.

4. The device for demonstrating function curve generation and parameter changes based on junior middle school mathematics according to claim 3, characterized in that: There are a plurality of knob switches, which are respectively connected to the packaging device and the single-chip microcomputer control.

5. The device for demonstrating function curve generation and parameter changes based on junior middle school mathematics according to claim 1, characterized in that: The keyboard is a 4X4 keyboard array composed of micro switches.

6. The device for demonstrating function curve generation and parameter changes based on junior middle school mathematics according to claim 1, characterized in that: The program interface is used to import functions, which are processed by the single-chip microcomputer controller and displayed on a liquid crystal display.

Citation Information

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