Teaching tool and teaching method for fourier transform of function

Abstract

Disclosed are a teaching tool and teaching method for Fourier transform of a function in the technical field of teaching tools for functions, said teaching tool comprising a main body frame, a curve board, a waveform board, and a positioning frame plate. The main body frame is a box which is internally hollow. A plurality of strip-shaped plate blocks are transversely and sequentially joined into the curve board. Both the curve board and the waveform board can be detachably vertically inserted into a joining plate cavity of the main body frame. The curve board and the waveform board can physically display a waveform by means of the present apparatus. Moreover, the waveform can be flexibly drawn by a teacher in class, and then joined from a plurality of different waveforms into a mixed Fourier waveform graph. Also, the Fourier waveform can be conveniently re-split into different regular function waveforms, thus facilitating clean splitting. Furthermore, the present apparatus can perform combination of multiple functions and can also perform inverse splitting in an imageable manner, achieving vivid and imageable teaching, attaining flexible waveform variations, and providing a convenient teaching approach to Fourier transform teaching.

Description

Fourier function transformation teaching aid and teaching method TECHNICAL FIELD

[0001] The present application relates to the technical field of function teaching aids, in particular to a Fourier function transformation teaching aid and teaching method. BACKGROUND

[0002] Fourier transformation is a mathematical technique that can express a function that meets certain conditions as a linear combination of trigonometric functions (sine and / or cosine functions) or their integrals. This transformation has various forms in different research fields, including continuous Fourier transformation and discrete Fourier transformation. Fourier transformation was first proposed by French mathematician and physicist Jean-Baptiste Joseph Fourier in 1807 as a tool for heat transfer analysis. Fourier proposed that any continuous periodic signal can be composed of a set of appropriate sinusoidal curves.

[0003] Fourier transformation has a wide range of applications in digital signal processing and other fields, such as image processing. In image processing, Fourier transformation can convert signals in the time domain into signals in the frequency domain, which can be used for image denoising, image enhancement, and other processing. In addition, Fourier transformation is also used in other fields such as physics, engineering, and computer science.

[0004] In particular, the mixed complete waveform is split into waveforms of different frequencies, so that the different frequency waveforms in the mixed complete waveform can be easily stripped, thereby achieving the purpose of waveform denoising. Multiple regular frequency waveforms can also be combined to form complex waveforms of different degrees of mixing.

[0005] However, the current teaching method of Fourier transformation can only rely on pictures or dynamic changes to demonstrate, and teachers can only demonstrate without physical objects, which increases the difficulty of teaching, especially since Fourier transformation has various forms and can be combined in various ways to form different curves. The pictures in the teaching plan used for teaching are basically fixed in style and can only be transformed according to the pre-set picture waveforms, which cannot fully demonstrate the versatility and flexibility of Fourier transformation. Fourier mixed waveforms have various splitting methods, and multiple waveforms are generally combined to form different waveform transformations, which makes Fourier transformation difficult to teach and causes difficulties for teachers and students.

[0006] Therefore, the present application designs a Fourier function transformation teaching aid and teaching method to solve the above problems. TECHNICAL PROBLEM

[0007] The present application aims to provide a Fourier function transformation teaching aid and teaching method, which can display waveforms in real objects through the device, and the waveforms can be drawn by the instructor flexibly, and then the waveforms can be spliced with different waveforms to form mixed Fourier waveforms, and the Fourier waveforms can be conveniently split into different regular function waveforms, so that the split is convenient and clean, and the device can combine multiple functions, and can also be reversely split, which is vivid and flexible, and provides a convenient teaching method for Fourier transformation teaching. Technical solutions

[0008] The present application is implemented as follows: a Fourier function transformation teaching aid, comprising:

[0009] A main frame, a curve plate, a waveform plate and a positioning frame plate;

[0010] The main frame is a hollow box, the internal cavity of the main frame is a plate cavity, the plate cavity is open at the upper and lower ends of the main frame, the rear side and the left and right sides of the main frame are closed, and a display window is vertically arranged on the front side of the main frame and communicates with the plate cavity.

[0011] The front side of the main frame is also horizontally provided with a coordinate axis plate, the display window is divided into two separate windows by the coordinate axis plate, and coordinate axis marks are arranged on the front side of the main frame.

[0012] A plurality of main frames can be stacked and spliced into an integral structure, and the plate cavities in the main frames are connected with each other.

[0013] The positioning frame plate is a long straight plate, which is horizontally arranged in the plate cavity and can be vertically slidably clamped in the plate cavity.

[0014] The curve plate is a square whiteboard that can be repeatedly written and erased, and the curve plate is formed by a plurality of independent long plate blocks that are transversely and sequentially spliced into a complete square flat plate structure, and the length and width of each long plate block are the same.

[0015] The waveform plate is also formed by a plurality of independent long plate blocks that are transversely and sequentially spliced into a complete flat plate structure, the bottom edge of the waveform plate is flat, the top edge of the complete waveform plate is a regular wave curve, and the width of each long plate block is the same.

[0016] Each long plate block of the curve plate and the waveform plate is not fixedly connected.

[0017] The curve plate and the wave plate are vertically inserted into the panel cavity of the main frame, the curve plate or the wave plate is vertically inserted into any main frame, the curve plate and the wave plate are vertically slid in the panel cavity, and the positioning frame plate is supported at the bottom of the curve plate or the wave plate.

[0018] Further, the left-right direction length of the positioning frame plate is less than the width c of the panel cavity, the difference is not more than 1mm, and a plurality of magnetic blocks are arranged on the positioning frame plate, and the positioning frame plate is stably adsorbed in the panel cavity by the magnetic blocks.

[0019] Further, the wave plate has a plurality of replacement parts, the top edge wave curve of each wave plate replacement part is different; and the width of each panel is the same.

[0020] The wave plate is a complete flat plate formed by a plurality of panels being transversely and sequentially spliced, and each panel is a vertical long strip plate.

[0021] Further, the front side of the coordinate axis plate is in the same plane as the front side of the main frame, and the front-back direction thickness of the coordinate axis plate is the same as the front-back direction depth of the display window.

[0022] The display window is a square opening formed in the front side of the main frame, the upper, lower, left and right directions of the display window are closed, the width c of the panel cavity is greater than the width d of the display window, and the display window is in the range of the front side plate of the main frame.

[0023] Each of the main frames is provided with a plurality of magnetic blocks, and the upper and lower main frames are connected by magnetic force.

[0024] Further, the coordinate axis is marked with two, one of the coordinate axis marks is arranged on the right side of the coordinate axis plate, and the other of the coordinate axis marks is arranged on the left top of the main frame.

[0025] A Fourier function transformation teaching method, comprising the following steps:

[0026] Step S1, taking a main frame, and horizontally inserting a positioning frame plate into the bottom opening of the panel cavity in the main frame, closing the bottom opening of the panel cavity, and stably adsorbing the positioning frame plate and the main frame by magnetic force, so that the main frame forms a hollow box body with only a top opening;

[0027] Step S2, inserting a curve plate into the panel cavity from the top opening of the panel cavity, inserting a plurality of long strip plates constituting the curve plate into the inner cavity of the panel cavity from the top opening of the panel cavity in sequence, and sequentially splicing and arranging the curve plate in the panel cavity into a neat square whiteboard.

[0028] Step S3, the front of the curve plate is exposed outside the front of the main frame through the display window;

[0029] Step S4, draw a function curve on the front of the curve plate through the display window to form a hand-drawn line;

[0030] Step S5, take a second main frame, and also adsorb a positioning frame plate at the bottom of the panel cavity inside the main frame, and select a wave-shaped plate and put it into the panel cavity from top to bottom;

[0031] Step S6, place the first and second main frames horizontally, keep the back of the two main frames horizontal, take out the positioning frame plate inside the first main frame, and magnetically adsorb the first main frame on the top of the second main frame, so that the opening at the bottom of the panel cavity of the first main frame is connected with the opening at the top of the panel cavity of the second main frame, and the two panel cavities form an overall cavity;

[0032] Step S7, place the two main frames vertically, the curve plate inside the first main frame slides down, and each long strip plate constituting the curve plate slides down and abuts against the top edge of the wave-shaped plate inside the second main frame;

[0033] Step S8, the regular and smooth hand-drawn line on the curve plate forms a staggered difference in the up-down direction, and the Fourier transform is displayed through the change of the hand-drawn line.

[0034] Further, it also includes step S9, taking out a third main frame, putting different wave-shaped plates into the main frame, and connecting the third main frame below the second main frame, so that the wave-shaped plate inside the third main frame supports the bottom of the wave-shaped plate inside the second main frame;

[0035] Step S10, through the wave-shaped plate inside the third main frame, the wave-shaped plate and the curve plate above are sequentially supported with different height differences, so that the hand-drawn line on the curve plate forms a second Fourier transform.

[0036] Further, the panel cavities in the three main frames are connected to form an overall cavity, and only the positioning frame plate at the bottom of the lowermost panel cavity is retained during splicing;

[0037] By sliding the positioning frame plate up and down, the curve plate in the overall cavity formed by splicing the panel cavities is pushed up and down to the display window for display. Beneficial effects

[0038] The beneficial effects of the present application are: 1, the present application can form Fourier transform on the curve plate by accommodating the curve plate or various different waveform plates in the main frame, can display Fourier transform in a more visual way, can more flexibly teach, instead of only displaying fixed patterns by pictures to teach, the device makes teaching more vivid and visual, can be compared to teach and understand intuitively, the teaching of Fourier transform is more clear, and students can also operate and split, can also let students define Fourier curve to try to split, the teaching content is more easily accepted and interesting;

[0039] 2, the device can conveniently draw function waveform lines on the curve plate, can more flexibly display different Fourier transforms, split and combine with different waveform plates, achieve the purpose of more flexible transformation, so as to display different Fourier combination waveforms and transformation, teaching is no longer fixed pattern, but flexible waveform style, teaching examples are more sufficient, and the knowledge can be taught more completely;

[0040] 3, the device can combine two main frames, also can combine multiple main frames, achieve complex pattern combination and split transformation, also can change to simple pattern display transformation according to the understanding of students, and can be flexibly operated, so that Fourier, a complex and variable teaching content, becomes no longer dogmatic, and is easy for students to understand. BRIEF DESCRIPTION OF DRAWINGS

[0041] The present application will be further described below with reference to the accompanying drawings and embodiments.

[0042] Fig. 1 is a schematic view of a single main frame structure of the present application;

[0043] Fig. 2 is a schematic view of a curve plate structure of the present application;

[0044] Fig. 3 is a schematic view of a waveform plate combination state structure of the present application;

[0045] Fig. 4 is a schematic view of a single assembling single plate split state structure of the waveform plate of the present application;

[0046] Fig. 5 is a schematic view of the structure of the waveform plate and the curve plate in the two main frames before the superposition transformation form;

[0047] Fig. 6 is a schematic view of the structure of the waveform plate and the curve plate in the two main frames in the superposition transformation form;

[0048] Fig. 7 is a schematic view of the structure of the splicing state of the internal side of the two main frames in the superposition form;

[0049] Fig. 8 is a schematic view of the structure of the different function shape waveform plate of the present application.

[0050] In the drawings, the component list represented by each reference numeral is as follows:

[0051] 1-body frame, 11-coordinate axis plate, 12-puzzle board cavity, 13-display window, 14-coordinate axis mark, 2-curve plate, 21-wavy line, 3-wavy plate, 31-puzzle single board, 4-positioning frame plate. Embodiments of the present application

[0052] Please refer to the drawings 1 to 8, the present application provides a Fourier function transformation teaching aid and teaching method, in order to better understand the above technical solution, the following will be combined with the specific embodiments of the present application to explain the above technical solution in detail.

[0053] In one embodiment of the present application:

[0054] Fourier function transformation teaching aid, including body frame 1, curve plate 2, wavy plate 3 and positioning frame plate 4;

[0055] The body frame 1 is a hollow box, the inner cavity of the body frame 1 is a puzzle board cavity 12, the puzzle board cavity 12 is opened at the upper and lower ends of the body frame 1, the rear side and the left and right sides of the body frame 1 are closed, and the vertical surface of the front side of the body frame 1 is provided with a display window 13, which is in communication with the puzzle board cavity 12,

[0056] The front side of the body frame 1 is also provided with a coordinate axis plate 11, the display window 13 is divided into two separate windows by the coordinate axis plate 11, and the front side of the body frame 1 is also provided with coordinate axis marks 14; the coordinate axis marks 14 are two, one coordinate axis mark 14 is arranged on the right side of the coordinate axis plate 11 to form a horizontal axis, and the other coordinate axis mark 14 is arranged on the left top of the body frame 1 to form a vertical axis, and the coordinate axis marks 14 are the x-axis mark and y-axis mark of the plane rectangular coordinate system.

[0057] The front side of the coordinate axis plate 11 is in the same plane with the front side of the body frame 1, and the front-rear direction thickness of the coordinate axis plate 11 is the same as the front-rear direction depth of the display window 13;

[0058] The display window 13 is a square opening provided on the front side of the body frame 1, the upper, lower, left and right directions of the display window 13 are closed, the width c of the puzzle board cavity 12 is greater than the width d of the display window 13, and the display window 13 is in the range of the front side panel of the body frame 1, so that the display window 13 can display the curve plate 2 and the wavy plate 3 on the front side to explain to students;

[0059] A plurality of magnetic blocks are arranged on the top of each body frame 1, and the upper and lower body frames 1 are connected by magnetic attraction. The upper and lower body frames 1 are conveniently attracted to each other, and iron blocks are needed to be installed on the bottom of the body frame 1, so that the upper and lower body frames 1 can be stacked and attracted to each other.

[0060] The plurality of main frames 1 can be stacked together to form a whole structure, and the plate assembly cavities 12 in the stacked main frames 1 are connected to each other;

[0061] The positioning frame plate 4 is a long straight plate, which is horizontally arranged in the plate assembly cavity 12 and vertically slidably clamped in the plate assembly cavity 12. The length of the positioning frame plate 4 in the left-right direction is less than the width c of the plate assembly cavity 12, and the difference is not more than 1 mm. A plurality of magnetic blocks are arranged on the positioning frame plate 4, and a strong magnet is required to ensure that the positioning frame plate 4 is stably adsorbed to the outer frame of the main frame 1, thereby stably supporting the curve plate 2 and the waveform plate 3. When needed, multiple positioning frame plates 4 can be stacked together for use to provide stronger support.

[0062] The positioning frame plate 4 is stably adsorbed in the plate assembly cavity 12 by the magnetic blocks.

[0063] The curve plate 2 is a square whiteboard that can be repeatedly written and erased. The curve plate 2 is formed by horizontally assembling a plurality of independent long strip blocks into a complete square flat structure. The length and width of each long strip block assembled into the curve plate 2 are the same.

[0064] The waveform plate 3 is also formed by horizontally assembling a plurality of independent long strip blocks into a complete flat structure. The bottom edge of the waveform plate 3 is flat, and the top edge of the assembled waveform plate 3 is a regular wave curve. The width of each long strip block assembled into the waveform plate 3 is the same. The width of the internal assembly blocks of the curve plate 2 and the waveform plate 3 is also the same. The waveform plate 3 has a plurality of replacement parts, and the top edge wave curve of each waveform plate 3 replacement part is different. The waveform plate 3 is formed by horizontally assembling a plurality of assembly single plates 31 into a complete flat plate. Each assembly single plate 31 is a vertical long strip block assembled into the waveform plate 3.

[0065] The heights of the assembly single plates 31 of the waveform plate 3 replacement parts are different, and the widths of the assembly single plates 31 are the same.

[0066] The plurality of long strip blocks assembled into the waveform plate 3 are assembly single plates 31. The plurality of assembly single plates 31 are horizontally assembled into the waveform plate 3. The heights of the assembly single plates 31 of the waveform plate 3 replacement parts are different. Thus, a plurality of different function curves are used to mix, split, and assemble the wave lines 21 to perform transformation, which can obtain more transformation modes of Fourier waveforms and more completely display Fourier transformation modes.

[0067] Each long strip plate between the assembled curved plate 2 and the wave plate 3 is not fixedly connected, that is, the long strip plate between the curved plate 2 or the wave plate 3 is only kept spliced but not connected. In order to facilitate splicing and mutual superposition, the different undulating states of the curved plate 2 are changed through the top wave undulation transformation of the wave plate 3, which can also make the wave line 21 form different Fourier transforms. Thus, the Fourier transform teaching is completed, the Fourier transform is directly and dynamically completed in front of the students, the teaching is more vivid and direct, and the students can directly operate and try to transform by themselves, thereby improving the understanding of the Fourier transform.

[0068] The curved plate 2 or the wave plate 3 can be vertically inserted into any main body frame 1, the curved plate 2 and the wave plate 3 are vertically slidably arranged in the plate cavity 12, and the positioning frame plate 4 is supported at the bottom of the curved plate 2 or the wave plate 3. The height of the positioning frame plate 4 is adjusted to support the bottom plane of the curved plate 2 or the wave plate 3, and then the positioning frame plate 4 is used to push and slide the curved plate 2 and the wave plate 3 upward and downward. The curved plate 2 and the wave plate 3 can only be placed in the plate cavity 12 and cannot be tightly clamped, so that the curved plate 2 and the wave plate 3 are slid upward and downward in the plate cavity 12, and the positioning frame plate 4 can support the bottom of the curved plate 2 or the wave plate 3.

[0069] When only the curved plate 2 is used, the positioning frame plate 4 only supports the bottom of each long strip plate of the curved plate 2, so that the curved plate 2 is stably supported in the plate cavity 12.

[0070] When the curved plate 2 is additionally provided with the wave plate 3, the positioning frame plate 4 only supports the bottom plane of the lowermost wave plate 3, thereby completing the deformation.

[0071] The method for teaching by using the Fourier function transform teaching aid includes the following steps:

[0072] Step 1: A main body frame 1 is taken, and a positioning frame plate 4 is horizontally inserted into the bottom opening of the plate cavity 12 in the main body frame 1, so as to close the bottom opening of the plate cavity 12. The positioning frame plate 4 is stably adsorbed to the main body frame 1 by magnetic force, so that the main body frame 1 forms a hollow box body with only a top opening;

[0073] Step 2: The curved plate 2 is inserted into the plate cavity 12 from the top opening of the plate cavity 12, and the plurality of long strip plates constituting the curved plate 2 are sequentially inserted into the inner cavity of the plate cavity 12 from the top opening of the plate cavity 12, and the curved plate 2 in the plate cavity 12 is sequentially spliced and arranged as a neat square whiteboard;

[0074] Step 3: The front surface of the curved plate 2 is exposed outside the front surface of the main body frame 1 through the display window 13;

[0075] Step 4: A function curve is drawn on the front surface of the curved plate 2 through the display window 13 to form a hand-drawn line 21.

[0076] Step 5, take the second main frame 1, and also adsorb a positioning frame plate 4 at the bottom of the panel cavity 12 inside the main frame 1, and select a wave plate 3 to be placed from top to bottom in the panel cavity 12;

[0077] Step 6, place the first and second main frames 1 horizontally, keep the back of the two main frames 1 horizontal, then take out the positioning frame plate 4 inside the first main frame 1, and magnetically attract the first main frame 1 to the top of the second main frame 1, so that the bottom opening of the panel cavity 12 of the first main frame 1 is connected to the top opening of the panel cavity 12 of the second main frame 1, and the two panel cavities 12 form a whole cavity;

[0078] Step 7, place the two main frames 1 vertically, the curve plate 2 inside the first main frame 1 slides down, and each long plate block forming the curve plate 2 slides down and abuts against the top edge of the wave plate 3 inside the second main frame 1;

[0079] Step 8, the regular and smooth hand-drawn lines 21 on the curve plate 2 form a vertical staggered difference, and the Fourier transform is displayed through the change of the hand-drawn lines 21.

[0080] Step 9, take out the third main frame 1, put different wave plates 3 into the main frame 1, and connect the third main frame 1 below the second main frame 1, so that the wave plates 3 inside the third main frame 1 support the bottom of the wave plates 3 inside the second main frame 1;

[0081] Step 10, through the wave plates 3 inside the third main frame 1, the wave plates 3 and the curve plate 2 above are sequentially supported with different height differences, so that the hand-drawn lines 21 on the curve plate 2 form a second Fourier transform, thereby fully displaying the Fourier curve transform.

[0082] When the three main frames 1 are connected, the three panel cavities 12 inside them are connected to form a whole cavity, and only the positioning frame plate 4 at the bottom of the lowermost panel cavity 12 is retained after connection, which supports the whole cavity formed by all the panel cavities 12 above, ensuring that all the curve plates 2 and wave plates 3 in the panel cavities 12 are supported and will not fall off;

[0083] And the wave plates 3 and curve plates 2 supported on the positioning frame plate 4 provide effective support and will not fall off.

[0084] The positioning frame plate 4 in the splicing plate cavity 12 can slide up and down, and the positioning frame plate 4 is slid up and down by sliding the positioning frame plate 4 up and down, and the up and down sliding of the positioning frame plate 4 is completed manually, which can be pushed up from the bottom opening of the splicing plate cavity 12, or the fingers can be directly inserted into the display window 13 to push, and the curved plate 2 needs to be pushed up and down to the opening of the display window 13 for display.

[0085] It is convenient to observe the transformation of the waveform line 21, so that the combination and split transformation of the Fourier curve can be fully displayed, which is beneficial to teaching.

[0086] It should be noted that:

[0087] 1. When the device is displayed, the curved plate 2 needs to be installed and placed flat in the main frame 1, and the waveform line 21 is hand-drawn. The waveform line 21 can be pre-drawn or temporarily drawn later, which is convenient for flexible adjustment and transformation of different Fourier waveforms. Moreover, the curved plate 2 is a whiteboard, which can be directly marked on the curved plate 2 with a whiteboard pen, or the waveform line 21 on it can be repeatedly erased according to actual needs, and then the waveform line 21 on the curved plate 2 can be flexibly set and adjusted; 2. When the device displays the Fourier transform, multiple different waveform plates 3 can be used to lift the curved plate 2, so that it is deformed, and the waveform line 21 can be adjusted and transformed to form a combination through different waveform plates 3, which increases the more forms of Fourier transform, and the device can be assembled and combined with multiple different waveform plates 3 for transformation; 3. The waveform plate 3 and the curved plate 2 of the device are composed of multiple small strip plates, and the vertical direction of each strip plate is the whole, and they are spliced left and right. In this way, each curved plate 2 can slide up and down, and the curved plate 2 and the waveform plate 3 do not need to be aligned, so that the curved plate 2 can be lifted to different heights by the top curve of the waveform plate 3, so that the waveform line 21 produces a difference, and forms different curves.

[0088] When the device is used for teaching, the main frame 1 needs to be placed vertically on the platform, that is, the display window 13 is vertically set forward, so the front side of the device refers to the side facing the students, and the back side refers to the side of the main frame 1 vertically closed toward the blackboard, and the left and right and up and down directions refer to the up and down and left and right in the vertical state of the main frame 1. The above orientation description is specifically for the vertical state of the main frame 1. In the description of the present application, if the terms "center", "upper", "lower", "left", "right", "vertical", "horizontal", "inner", "outer", "front", "back", "top", "bottom" and the like appear, the indicated orientation or position relationship is based on the orientation or position relationship shown in the drawings, which is only for the convenience of describing the present application and simplifying the description, and does not indicate or imply that the device or element referred to must have a particular orientation, be constructed and operated in a particular orientation, and therefore cannot be understood as a limitation on the present application.

[0089] Although the specific embodiments of the present application are described above, those skilled in the art should understand that the specific embodiments described are only illustrative, and are not intended to limit the scope of the present application, and equivalent modifications and changes made by those skilled in the art in accordance with the spirit of the present application should be covered within the scope of the claims of the present application.

Claims

1. A teaching aid for Fourier function transformation, characterized by, Include: The main frame (1), curve plate (2), wave plate (3) and positioning frame plate (4); The main frame (1) is a hollow box, the main frame (1) cavity is a puzzle board cavity (12), the puzzle board cavity (12) is opened at the upper and lower ends of the main frame (1), the rear side and the left and right sides of the main frame (1) are closed, and the front side of the main frame (1) is provided with a display window (13) on the vertical surface, the display window (13) is communicated with the puzzle board cavity (12), The front side of the main frame (1) is also provided with a coordinate axis plate (11), the display window (13) is divided into two separate windows by the coordinate axis plate (11), and the front side of the main frame (1) is also provided with a coordinate axis mark (14); A plurality of main frames (1) can be separated and stacked together to form an integral structure, and the puzzle board cavities (12) in the main frames (1) are communicated with each other; The positioning frame plate (4) is a long straight plate, which can be separated and horizontally arranged in the puzzle board cavity (12), and can be vertically slidably clamped in the puzzle board cavity (12); The curve plate (2) is a square whiteboard that can be repeatedly written and erased, and the curve plate (2) is composed of a plurality of independent long strip blocks which are transversely assembled into a complete square flat structure. The wave plate (3) is also composed of a plurality of independent long strip blocks which are transversely assembled into a complete flat structure, the bottom edge of the wave plate (3) is flat, the top edge of the assembled wave plate (3) is a regular wave curve, and the width of each long strip block of the wave plate (3) is the same; the width of the internal assembly block of the curve plate (2) and the wave plate (3) is also the same; Each long strip block of the curve plate (2) and the wave plate (3) is not fixedly connected; The curve plate (2) or the wave plate (3) can be separated and vertically inserted into any main frame (1), the curve plate (2) and the wave plate (3) are vertically slidably arranged in the puzzle board cavity (12), and the positioning frame plate (4) is arranged at the bottom of the curve plate (2) or the wave plate (3).

2. A Fourier function transformation teaching aid according to claim 1, characterized in that: The left and right direction length of the positioning frame plate (4) is less than the width c of the puzzle board cavity (12), and the difference is not more than 1mm, and a plurality of magnetic blocks are arranged on the positioning frame plate (4), and the positioning frame plate (4) is stably adsorbed in the puzzle board cavity (12) through the magnetic blocks.

3. A Fourier function transform teaching aid according to claim 1, wherein: The wave plate (3) has a plurality of replacement parts, and the top edge wave curve of each wave plate (3) replacement part is different; the width of each puzzle single board (31) is the same; The wave plate (3) is a complete flat plate composed of a plurality of puzzle single boards (31) which are transversely assembled, and each puzzle single board (31) is a vertical long strip block.

4. A Fourier function transform teaching aid according to claim 1, wherein: The front side of the coordinate axis plate (11) is on the same plane with the front side of the main frame (1), and the front and back direction thickness of the coordinate axis plate (11) is the same as the front and back direction depth of the display window (13). The display window (13) is a square opening on the front side of the main frame (1), the upper and lower and left and right directions of the display window (13) are closed, the width c of the panel cavity (12) is greater than the width d of the display window (13), and the display window (13) is in the range of the front side panel of the main frame (1). Each of the main frames (1) is provided with a plurality of magnetic blocks, and the upper and lower main frames (1) are connected by magnetic force.

5. A Fourier function transformation teaching aid according to claim 1, characterized in that: The coordinate axis mark (14) has two, one of the coordinate axis mark (14) is arranged on the right side of the coordinate axis plate (11), and the other of the coordinate axis mark (14) is arranged on the left side of the main frame (1).

6. A Fourier function transformation teaching method characterized by comprising: The teaching method needs to provide a Fourier function transformation teaching aid as claimed in claims 1-5, and the teaching method comprises the following steps: Step S1, take a main frame (1), and horizontally insert a positioning frame plate (4) at the bottom opening of the panel cavity (12) in the main frame (1), so as to close the bottom opening of the panel cavity (12), and the positioning frame plate (4) is stably adsorbed with the main frame (1) by magnetic force, so that the main frame (1) forms a hollow box body with only a top opening; Step S2, insert the curve plate (2) from the top opening of the panel cavity (12) downward, and insert the plurality of long strip plate blocks constituting the curve plate (2) into the inner cavity of the panel cavity (12) in sequence from the top opening, and the curve plate (2) in the panel cavity (12) is sequentially spliced and arranged as a neat square whiteboard; Step S3, the front surface of the curve plate (2) is exposed outside the front surface of the main frame (1) through the display window (13); Step S4, draw a function curve on the front surface of the curve plate (2) through the display window (13) to form a hand-drawn line (21); Step S5, take a second main frame (1), and adsorb a positioning frame plate (4) at the bottom of the panel cavity (12) in the main frame (1), and select a wave plate (3) and place it in the panel cavity (12) from top to bottom; Step S6, place the first and second main frames (1) horizontally, keep the back surfaces of the two main frames (1) horizontal, take out the positioning frame plate (4) in the first main frame (1), and magnetically adsorb the first main frame (1) on the top of the second main frame (1), so that the bottom opening of the panel cavity (12) of the first main frame (1) is connected with the top opening of the panel cavity (12) of the second main frame (1), and the two panel cavities (12) form an overall cavity; Step S7, vertically place the two main frames (1) connected with each other, the curve plate (2) in the first main frame (1) slides downward, and each long strip plate block constituting the curve plate (2) slides downward and abuts against the top edge of the wave plate (3) in the second main frame (1); Step S8, the regular and smooth hand-drawn line (21) on the curve plate (2) forms a staggered difference in the up and down direction, and the Fourier transformation is displayed through the change of the hand-drawn line (21).

7. The method of claim 1, wherein: Also includes step S9, take out the third said body frame (1), and put different waveform board (3) in the said body frame (1), and butt joint the third said body frame (1) below the second said body frame (1), make the waveform board (3) in the third said body frame (1) support the bottom of the waveform board (3) in the second body frame (1); Step S10, through the waveform board (3) in the third said body frame (1) to the waveform board (3) and curve board (2) above in turn produce different height difference support, make the hand drawn line (21) on the said curve board (2) form the second Fourier transform.

8. A Fourier function transform teaching method according to claim 7, characterized in that: Three said body frame (1) in the cavity (12) splicing communication for the whole cavity, only keep the bottom of the last one said cavity (12) positioning frame (4) when splicing; Through the positioning frame (4) slides up and down, push the curve board (2) in the whole cavity spliced by the cavity (12) up and down to the display window (13) to display.

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