A function teaching aid
Patent Information
- Application Number
- CN202522388558.8
- Authority / Receiving Office
- CN · China
- Patent Type
- Utility models(China)
- Current Assignee / Owner
- Filing Date
- 2025-11-11
- Publication Date
- 2026-10-30
- Estimated Expiration
- 2035-11-11
AI Technical Summary
[0003]在现有教学中,通常需要借助尺规、等工具来手动绘制线条,但像正、余弦函数这样的周期函数,缺乏能够有效辅助绘制周期曲线的工具,通常是在坐标系上描点后画出连接点的曲线,这种方法不仅耗时,且在展示周期性和相位差时容易出现偏差,图像不美观
[0015]本实用新型通过固定组件调节转板的转动和滑板的移动,可以实现从正弦函数到余弦函数的切换,能够在平面坐标系上轻松准确描绘出正弦和余弦函数的图像,展示其周期性和相位差,提高了教学的互动性,通过调整装置,能观察正弦和余弦函数图像的变化,更好地理解正余弦函数的异同。
Smart Images

Figure CN224922339U_ABST
Abstract
Description
Technical Field
[0001] This utility model relates to the field of teaching aids technology, specifically to a function teaching aid. Background Technology
[0002] The sine and cosine functions are two fundamental trigonometric functions, widely used in mathematics, physics, engineering, and many other fields. They are periodic functions with the same period of 2π and a clear geometric interpretation on the unit circle. The sine function represents the vertical coordinate of any angle on the unit circle, while the cosine function represents the horizontal coordinate of the corresponding angle on the unit circle; there is a phase difference of π / 2 between them.
[0003] In current teaching, it is usually necessary to manually draw lines using tools such as rulers and compasses. However, for periodic functions such as sine and cosine functions, there is a lack of tools that can effectively assist in drawing periodic curves. Usually, points are plotted on the coordinate system and then the curve connecting the points is drawn. This method is not only time-consuming, but also prone to deviations when displaying periodicity and phase difference, resulting in unattractive images.
[0004] Therefore, this utility model provides a function teaching aid. Utility Model Content
[0005] The purpose of this invention is to provide a function teaching aid to solve the problems existing in the above-mentioned background technology.
[0006] To achieve the above-mentioned technical effects, this utility model is implemented through the following technical solution: a function teaching aid, including a fixed drawing board, a line drawing board and a fixing component.
[0007] Furthermore, the fixed drawing board has a groove at the lower front end; the drawing board includes a rotating plate rotatably connected to the upper edge of the groove and a sliding plate slidably connected to the rotating plate; the fixing assembly includes an adsorption fixing component around the fixed drawing board, a limiting rod above the front end of the fixed drawing board, a limiting groove on the rotating plate, an annular groove assembly on both sides of the rotating plate and the sliding plate, and a rotating block movably connected to the annular groove assembly.
[0008] Furthermore, a planar coordinate system is provided above the front end of the fixed drawing board.
[0009] Furthermore, the skateboard is equipped with a periodic curve track.
[0010] Furthermore, the limiting rod includes a rotating rod rotatably connected to the fixed drawing board and a limiting block fixedly connected to the rotating rod.
[0011] Furthermore, the limiting groove extends through the limiting block, and the long side of the limiting groove is greater than the long side of the limiting block, while the wide side of the limiting groove is less than the long side of the limiting block.
[0012] Furthermore, the annular groove assembly includes a first arc groove disposed on both sides of the rotating plate and a second arc groove disposed on both sides of the sliding plate.
[0013] Furthermore, the outer end of the rotating block is provided with a push block; the rotating block is slidably connected by an arc rail and a first arc groove and a second arc groove.
[0014] The beneficial effects of this utility model are:
[0015] This invention allows for the switching from sine to cosine functions by adjusting the rotation of the rotating plate and the movement of the sliding plate using a fixed component. It can easily and accurately depict the graphs of sine and cosine functions on a plane coordinate system, demonstrating their periodicity and phase difference, thus improving the interactivity of teaching. By adjusting the device, the changes in the graphs of sine and cosine functions can be observed, leading to a better understanding of the similarities and differences between sine and cosine functions. Attached Figure Description
[0016] To more clearly illustrate the technical solutions of the embodiments of this utility model, the accompanying drawings used in the description of the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of this utility model. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.
[0017] Figure 1 This is a schematic diagram of the overall structure of this utility model;
[0018] Figure 2 This is a schematic diagram of the sliding plate structure when plotting a sine function according to this utility model;
[0019] Figure 3 This is a utility model Figure 2 Enlarged schematic diagram of the structure at point A in the middle;
[0020] Figure 4 This is a schematic diagram of the sine function plotted according to this utility model;
[0021] Figure 5 This is a schematic diagram of the sliding plate structure for drawing cosine functions according to this utility model;
[0022] Figure 6 This is a schematic diagram of the cosine function plotted according to this utility model;
[0023] Figure 7 This is a schematic diagram of the annular groove assembly structure of this utility model;
[0024] Figure 8 This is a schematic diagram of the connection between the rotating plate and the annular groove assembly of this utility model;
[0025] The attached diagram lists the components represented by each number as follows:
[0026] 1. Fixed drawing board; 11. Groove; 12. Planar coordinate system; 2. Drawing board; 21. Rotating plate; 22. Slide plate; 221. Periodic curve drawing track; 3. Fixed assembly; 31. Adsorption fixing component; 32. Limiting rod; 321. Rotating rod; 322. Limiting block; 33. Limiting groove; 34. Ring groove assembly; 341. First arc groove; 342. Second arc groove; 35. Rotating block; 351. Push block. Detailed Implementation
[0027] The technical solutions of the present utility model will be clearly and completely described below with reference to the accompanying drawings of the embodiments. Obviously, the described embodiments are only some embodiments of the present utility model, and not all embodiments. Based on the embodiments of the present utility model, all other embodiments obtained by those skilled in the art without creative effort are within the protection scope of the present utility model.
[0028] Example 1
[0029] See Figures 1 to 8 As shown, a function teaching aid includes a fixed drawing board 1, a line drawing board 2, and a fixed component 3.
[0030] The fixed drawing board 1 has a groove 11 at the lower front end; the drawing board 2 includes a rotating plate 21 rotatably connected to the upper edge of the groove 11 and a sliding plate 22 slidably connected to the rotating plate 21 via a slide rail mechanism; the fixing assembly 3 includes an adsorption fixing member 31 disposed around the fixed drawing board 1, a limiting rod 32 disposed above the front end of the fixed drawing board 1, a limiting groove 33 disposed on the rotating plate 21, an annular groove assembly 34 disposed on both sides of the rotating plate 21 and the sliding plate 22, and a rotating block 35 movably connected to the annular groove assembly 34.
[0031] The adsorption fixing component 31 is a suction cup component.
[0032] A planar coordinate system 12 is provided above the front end of the fixed drawing board 1. The horizontal coordinate of the planar coordinate system 12 is x as the variable. In order to adapt to the periodicity of sine and cosine functions, the range of the horizontal coordinate covers at least one or more periods. In general, [−2π, 2π] is used as a common range, but intervals such as [−4π, 4π] can also be set. The vertical coordinate represents the value of the sine or cosine function, with y as the variable and a value range of [−1, 1].
[0033] The skateboard 22 is made of transparent material. The skateboard 22 is provided with a periodic curve track 221.
[0034] The limiting rod 32 includes a rotating rod 321 rotatably connected to the fixed drawing board 1 via a rotating shaft or thread, and a limiting block 322 fixedly connected to the rotating rod 321.
[0035] The limiting groove 33 movably passes through the limiting block 322, and the long side of the limiting groove 33 is greater than the long side of the limiting block 322, while the wide side of the limiting groove 33 is smaller than the long side of the limiting block 322. When the long side of the limiting groove 33 and the long side of the limiting block 322 are parallel and aligned, the rotating plate 21 can pass through the limiting block 322 through the limiting groove 33; after rotating the limiting block 322, when the long side of the limiting groove 33 and the long side of the limiting block 322 are perpendicular, the limiting block 322 will prevent the rotating plate 21 from rotating.
[0036] The annular groove assembly 34 includes a first arc groove 341 disposed on both sides of the rotating plate 21 and a second arc groove 342 disposed on both sides of the sliding plate 22.
[0037] The outer end of the rotating block 35 is provided with a push block 351; the rotating block 35 is slidably connected by the arc rail 352 and the first arc groove 341 and the second arc groove 342.
[0038] All standard parts used in this utility model can be purchased from the market, and irregular parts can be customized according to the description and drawings. The specific connection methods of each part adopt conventional methods such as bolts, rivets, and welding that are mature in the prior art. The machinery, parts and equipment adopt conventional models in the prior art and will not be described in detail here. The contents not described in detail in this specification belong to the prior art known to those skilled in the art.
[0039] Example 2
[0040] The operating principle of this utility model:
[0041] First, the auxiliary device is firmly attached to a smooth wall or railing by the adsorption fixture 31 to ensure the stability of the device.
[0042] To draw a sine function, first flip the rotating plate 21 so that it rotates out of the groove 11 and fits against the upper end of the fixed drawing board 1. At this time, the limiting groove 33 on the rotating plate 21 passes through the limiting rod 32, and the limiting block 322 is rotated to fix the rotating plate 21 on the fixed drawing board 1.
[0043] Next, slide the slide plate 22 to the right until the right end of the slide plate 22 is in contact with the rotating plate 21. At this time, push the rotating block 35 by the push block 351, and one side of the rotating block 35 rotates into the second arc groove 342 on the right side of the slide plate 22, and the slide plate 22 is firmly fixed on the rotating plate 21.
[0044] Once the skateboard 22 is fixed, the periodic curve drawing track 221 will correspond to the plane coordinate system 12 on the fixed drawing board 1, and the graph of the sine function will be drawn on the plane coordinate system 12 through the periodic curve drawing track 221.
[0045] When plotting the cosine function, first release the fixation on the right side of the slide plate 22 so that it can slide to the left. Then, attach the left end of the slide plate 22 to the rotating plate 21. At this point, the position of the slide plate 22 changes, and it is no longer in the plotting position of the sine function. Next, fix the slide plate 22 by the rotating block 35.
[0046] At this point, the periodic curve plotting track 221 will move π / 2 to the left. This translation is equivalent to moving the graph of the sine function horizontally by π / 2, thus accurately depicting the graph of the cosine function on the plane coordinate system 12.
Claims
1. A function teaching aid, comprising a fixed drawing board (1), a line drawing board (2), and a fixing component (3), characterized in that: The fixed drawing board (1) has a groove (11) at the lower front end; the drawing board (2) includes a rotating plate (21) rotatably connected to the upper edge of the groove (11) and a sliding plate (22) slidably connected to the rotating plate (21); the fixing component (3) includes an adsorption fixing component (31) set around the fixed drawing board (1), a limiting rod (32) set above the front end of the fixed drawing board (1), a limiting groove (33) set on the rotating plate (21), an annular groove component (34) set on both sides of the rotating plate (21) and the sliding plate (22), and a rotating block (35) movably connected to the annular groove component (34).
2. The function teaching aid according to claim 1, characterized in that, A planar coordinate system (12) is provided above the front end of the fixed drawing board (1).
3. The function teaching aid according to claim 1, characterized in that, The skateboard (22) is provided with a periodic curve track (221).
4. The function teaching aid according to claim 1, characterized in that, The limiting rod (32) includes a rotating rod (321) rotatably connected to the fixed drawing board (1) and a limiting block (322) fixedly connected to the rotating rod (321).
5. A function teaching aid according to claim 1, characterized in that, The limiting groove (33) moves through the limiting block (322), and the long side of the limiting groove (33) is greater than the long side of the limiting block (322), while the wide side of the limiting groove (33) is less than the long side of the limiting block (322).
6. A function teaching aid according to claim 1, characterized in that, The ring groove assembly (34) includes a first arc groove (341) disposed on both sides of the rotating plate (21) and a second arc groove (342) disposed on both sides of the sliding plate (22).
7. A function teaching aid according to claim 1, characterized in that, The outer end of the rotating block (35) is provided with a push block (351); the rotating block (35) is slidably connected by the arc rail (352) and the first arc groove (341) and the second arc groove (342).