Interactive trigonometric function demonstration device
Technical Field
The utility model relates to a teaching presentation device field, especially an interactive trigonometric function presentation device.
Background
The prior knowledge inheritance mainly adopts a book inheritance mode, students read books and combine with the explanation of teachers for learning, the efficiency is low, particularly the boring mathematical and chemical knowledge needs to be deeply and thoroughly understood by the students, and the learning efficiency is low only from the record of books. The current knowledge is growing explosively at an unseen rate, so that humans spend so much time for knowledge learning and consolidation that at least 19 years are required from the beginning of the study to the doctor. In the prior art, a teaching means of audio-visual education is adopted, but in actual work, the audio-visual education teaching is only used for playing ppt and other teaching materials, and the interaction capability is not strong. Firstly, the teacher as a non-professional lacks the ability to write higher interactivity software; and secondly, corresponding software purchasing and training fund support are lacked. How to improve the interactivity and intuition of teaching is always a difficult point in teaching.
Chinese patent document CN104809939A describes a trigonometric function teaching aid, which has high interactivity and intuitiveness, but the teaching aid has a complex structure, and the intuitiveness is still insufficient. Chinese patent document CN206505320U describes a trigonometric function teaching device, which has a simplified and intuitive structure, but the functional relationship that can be expressed by this scheme is still insufficient, and especially, the direct relationship between the triangle and each parameter and the relationship between the variation trends of each parameter are difficult to be expressed directly.
SUMMERY OF THE UTILITY MODEL
The utility model aims to solve the technical problem that an interactive trigonometric function presentation device is provided can promote the trigonometric function teaching effect with comparatively simple structure, the trend of change and the interrelation of each parameter that can audio-visually demonstrate the trigonometric function.
In order to solve the technical problem, the utility model discloses the technical scheme who adopts is: the utility model provides an interactive trigonometric function presentation device, it includes first corner seat utility model, is equipped with the corner sensor in the first corner seat utility model, corner sensor fixed part utility model and the utility model fixed connection of fixed limit, corner sensor rotation portion utility model and the utility model fixed connection of hypotenuse portion, the corner sensor is connected with the main control device utility model electricity, first corner seat utility model is used for transmitting the utility model of main control device with the corner of hypotenuse portion utility model, main control device utility model is used for being connected with the display device utility model electricity.
In the preferred scheme, master control set utility model is connected with display device utility model electricity through wireless transmission device utility model.
In the preferred scheme, a plurality of LED component utility models are arranged in the fixed edge utility model, and the LED component utility model is electrically connected with the main control device utility model;
so that the luminous length of the LED component utility model is the same as the projection length of the bevel edge part utility model on the fixed edge utility model;
the utility model discloses also be equipped with the LED subassembly in hypotenuse portion.
In the preferred scheme, a first fixing seat utility model is arranged at the first corner seat utility model, and a second fixing seat utility model is arranged at one end of the fixing edge utility model, which is far away from the first corner seat utility model;
used for fixing the first corner seat utility model and the fixed edge utility model on the wall or the blackboard.
In the preferred scheme, a damping device utility model is arranged between the bevel edge part utility model and the first corner seat utility model;
the damping device utility model is a rubber pad, rubber piece or plastic brush including setting up between hypotenuse portion utility model and first corner seat utility model to can be fixed after making hypotenuse portion utility model rotate the position of a corner.
In another optional scheme, an interactive trigonometric function demonstration device comprises a second corner seat utility model, a corner sensor is arranged in the second corner seat utility model, a fixed part of the corner sensor is fixedly connected with a third fixed seat utility model, a rotating part of the corner sensor is fixedly connected with a stay wire sensor utility model, a stay wire sensor utility model is fixedly connected with a movable seat utility model, and a fixed part of the corner sensor is fixedly connected with a fixed edge utility model;
the utility model discloses be connected with the utility model electricity of master control set with the sensor of acting as go-between for give the utility model of master control set with the transmission of the utility model's of acting as go-between corner and length, master control set utility model is used for being connected with display device utility model electricity.
In the preferred scheme, master control set utility model is connected with display device utility model electricity through wireless transmission device utility model.
In the preferred scheme, a plurality of LED component utility models are arranged in the fixed edge utility model, and the LED component utility model is electrically connected with the main control device utility model;
so that the luminous length of the LED component utility model is the same as the projection length of the stay wire utility model on the fixed edge utility model.
In the preferred scheme, be equipped with the LED subassembly in hypotenuse portion utility model for show hypotenuse portion utility model's length.
In a preferred scheme, a second fixing seat utility model is arranged at one end of the fixed edge utility model, which is far away from the second corner seat utility model;
the third fixing seat utility model, the second fixing seat utility model and the movable seat utility model are flexible vacuum chuck, bonded adhesive sheet, permanent magnet sheet or consequent magnet sheet.
The utility model provides a pair of interactive trigonometric function presentation device through combining angle sensor and master control set, can realize interactive trigonometric function teaching through display device or by wireless transmission device large-size screen display device, the student passes through rotation bevel portion or acts as go-between promptly, can be real-time, audio-visual observation the change of each parameter of trigonometric function, the change trend of parameter, the change of common numerical value, the change of figure and the principle of figure conversion.
Drawings
The invention will be further explained with reference to the following figures and examples:
fig. 1 is a schematic structural diagram of the present invention.
Fig. 2 is a schematic side view of the first corner seat of the present invention.
Fig. 3 is a schematic diagram of a preferred structure of the present invention.
Fig. 4 is a schematic structural view of the second corner seat and the movable seat of the present invention.
Fig. 5 is a schematic view of the present invention in practical use.
Fig. 6 is a circuit block diagram of the present invention.
Fig. 7 is a schematic circuit diagram of the main chip of the present invention.
Fig. 8 is a schematic circuit diagram of the display device of the present invention.
Fig. 9 is a schematic diagram of the sensor analog signal processing circuit of the present invention.
In the figure: the LED angle sensor comprises a first angle base 1, an angle sensor fixing part 101, a first fixing base 102, a fastener 103, an angle sensor rotating part 104, a bevel part 2, a damping device 201, a second fixing base 3, a fixing edge 4, a lens 401, an LED assembly 402, a second angle base 5, a stay wire sensor 501, a stay wire 502, an angle sensor 503, a third fixing base 504, a movable base 6, a main control device 7, a display device 8 and a wireless transmission device 9.
Detailed Description
Example 1:
as shown in fig. 1-2 and 6-9, an interactive trigonometric function demonstration apparatus includes a first corner seat 1, a corner sensor is disposed in the first corner seat 1, a corner sensor fixing portion 101 is fixedly connected to a fixing edge 4, a corner sensor rotating portion 104 is fixedly connected to a bevel edge portion 2, the corner sensor is electrically connected to a main control apparatus 7, the first corner seat 1 is used for transmitting a corner of the bevel edge portion 2 to the main control apparatus 7, and the main control apparatus 7 is used for electrically connecting to a display apparatus 8. The rotation angle sensor in this example is a hall non-contact angular displacement sensor. Fix first corner seat 1 and fixed part 101, it can obtain the angle change between bevel portion 2 and fixed part 101 to rotate bevel portion 2, thereby parameter and the figure change of corresponding trigonometric function are sent to display device 8 through master control set 7 and are shown, or parameter and the figure change of corresponding trigonometric function are sent to the computer through wireless transmission device through master control set 7 and are shown or the projection, perhaps master control set 7 directly sends the display device to the audio-visual education system through wireless transmission device and shows, thereby improve the intuitiveness and the interactivity of teaching by a wide margin. Preferably, the main chip of the main control device 7 is an STM32F series chip, such as STM32F429IGT 6. The chip can directly output on-off signals and LCD display signals of the LED lamp. The wireless transmission device 9 employs an NRF24L01 chip.
In a preferred scheme, as shown in fig. 1, 6 and 7, a plurality of LED assemblies 402 are arranged in the fixed edge 4, and the LED assemblies 402 are electrically connected with the main control device 7; with this structure, it is convenient to control the on/off of the LED module 402 according to the rotation angle between the slanting side portion 2 and the fixing portion 101 to simulate the change in length of one side in a triangle.
The first corner seat 1 is provided with a first fixed seat 102, and one end of the fixed edge 4 far away from the first corner seat 1 is provided with a second fixed seat 3; with this structure, the first corner seat 1 and the fixing edge 4 can be conveniently fixed on the wall or the blackboard, and the first fixing seat 102 and the second fixing seat 3 are preferably flexible vacuum suction cups, adhesive sheets, permanent magnet sheets or paramagnetic sheets. The paramagnetic piece is adopted because the permanent magnets are embedded in the wall of some classrooms to sufficiently adsorb the paramagnetic piece and the devices on the paramagnetic piece.
A damping device 201 is arranged between the bevel edge part 2 and the first corner seat 1; the damping means 201 in this example is a rubber pad, a rubber block or a plastic brush arranged between the bevel portion 2 and the first corner seat 1 so that the bevel portion 2 can be rotated by one corner and fixed.
An LED assembly is also provided at the beveled portion 2. With the structure, the length of the hypotenuse in the triangle can be displayed conveniently.
Example 2:
based on embodiment 1, as shown in fig. 5, a method for using the above-mentioned interactive trigonometric function demonstration apparatus includes the following steps:
s1, fixing the first corner seat 1 and the fixed edge 4, and rotating the bevel edge part 2;
s2, the main control device 7 transmits the change of each parameter and/or image of the trigonometric function to the display device 8 along with the rotation of the bevel part 2;
through the steps, interactive trigonometric function teaching is realized. Especially, when the student rotates the bevel part 2 by oneself, and in the display device 8 of the electrified education system, the change of each parameter, formula and figure of trigonometric function is displayed in real time, especially the effect of function figure real-time conversion, and the teaching efficiency is greatly improved.
In a preferred embodiment, the main control device 7 controls the light emitting length of the LED module 402 in the fixed side 4 to be the same as the projection length of the bevel portion 2 on the fixed side 4. As shown in fig. 5, according to the corner of the beveled portion 2, the main chip of the main control device 7 can calculate the projection length of the beveled portion 2 on the fixed edge 4 and control the LED light emitting length in the LED module 402.
The preferred scheme is as shown in fig. 5, wherein each parameter of the trigonometric function and the image comprises: the side length of each side of the triangle, the variation trend of the side length, the rotation direction of the hypotenuse part 2, the angle of each angle of the triangle, the variation trend of the angle, the function value of each trigonometric function, the variation trend of the function value and the numerical value variation of the Y = sin (ω x + φ) formula are provided, the variation of the rotation speed brings the periodic variation of the ω value, the variation of the position of the starting point brings one or more combinations of the variation of the φ value, the three-dimensional trigonometric function conversion graph, the planar trigonometric function variation graph and the triangle corresponding variation graph. The three-dimensional trigonometric function conversion graph shows the combination of an x-axis, a y-axis and a T-axis, and how the rotation of the inclined edge part 2 forms a sine wave shape, so that students can visually know the graph and parameter change of the trigonometric function.
Example 3:
another alternative is shown in fig. 3 and 4, which is an interactive trigonometric function demonstration apparatus, comprising a second corner seat 5, a corner sensor is arranged in the second corner seat 5, a fixed part of the corner sensor is fixedly connected with a third fixed seat 504, a rotating part of the corner sensor is fixedly connected with a pull wire sensor 501, a pull wire 502 of the pull wire sensor 501 is fixedly connected with a movable seat 6, and a fixed part of the corner sensor is also fixedly connected with a fixed edge 4;
the rotation angle sensor and the pull wire sensor 501 are electrically connected with the main control device 7 and are used for transmitting the rotation angle and the length of the pull wire 502 to the main control device 7, and the main control device 7 is used for being electrically connected with the display device 8. According to the scheme, the change of the rotation angle between the stay wire 502 and the fixed edge 4 can be reflected, and the length change of the oblique edge and the adjacent edge can be simulated. Specifically, when the movable base 6 moves a corner, the pull line sensor 501 drives the rotating portion of the corner sensor to rotate the corresponding corner, so as to acquire the change of the corner, and when the movable base 6 is close to or far from the second corner base 5, the pull line 502 is pulled out or retracted from the pull line sensor 501, so as to acquire the change of the length of the hypotenuse of the triangle. Signals collected by the rotation angle sensor and the pull wire sensor 501 are input to the main chip after passing through the amplifying circuit and the digital-to-analog conversion circuit. The pull wire sensor in this example is FASTECHNIK pull wire sensor.
In a preferred embodiment, as shown in fig. 3, a plurality of LED assemblies 402 are disposed in the fixing edge 4, and the LED assemblies 402 are electrically connected to the main control device 7; the LED assembly 402 is controlled by the main chip of the master control device 7. The LED module 402 in this application refers to a plurality of LED lamp modules arranged along a straight line, and the lens 401 is disposed outside the LED lamp modules.
And a second fixed seat 3 is arranged at one end of the fixed edge 4 far away from the second corner seat 5. Thereby, the second corner seat 5 and the fixing edge 4 are fixed. Preferably, the third fixing base 504, the second fixing base 3 and the moving base 6 are flexible vacuum chucks, adhesive stickers, permanent magnet pieces or paramagnetic magnet pieces.
Example 4:
a method for adopting the interactive trigonometric function presentation device comprises the following steps:
s1, fixing the second corner seat 5 and the fixed edge 4, and rotating, retracting and stretching the pull wire 502;
s2, the main control device 7 transmits the variation of each parameter and/or image of the trigonometric function to the display device 8 along with the rotation and the extension of the pull wire 502;
through the steps, interactive trigonometric function teaching is realized.
In a preferred scheme, the main control device 7 controls the light emitting length of the LED assembly 402 in the fixed edge 4 to be the same as the projection length of the pull wire 502 on the fixed edge 4.
In a preferred embodiment, the parameters of the trigonometric function and the image include: the side length of each side of the triangle, the variation trend of the side length, the rotation direction of the stay wire 502, the angle of each angle of the triangle, the variation trend of the angle, the function value of each trigonometric function, the variation trend of the function value, the numerical value variation of the formula of Y = Asin (ω x + Φ), the trigonometric function conversion graph of the solid, the trigonometric function variation graph of the plane, and the corresponding variation graph of the triangle. The numerical change of the formula Y = Asin ω x + Φ means a periodic change in ω value due to a change in rotational speed, a change in phase of Φ value due to a change in position of the starting point, and a change in amplitude of a value due to retraction and extension of the wire 502. In which the solid trigonometric function transformation graph can be rotated around the Y-axis as a center, thereby helping students understand how to generate a sine curve from the rotation of the hypotenuse portion 2 or the stay 502.
The above embodiments are merely preferred technical solutions of the present invention, and should not be considered as limitations of the present invention, and the features in the embodiments and the examples in the present application may be arbitrarily combined with each other without conflict. The protection scope of the present invention shall be defined by the claims and the technical solutions described in the claims, including the technical features of the equivalent alternatives as the protection scope. Namely, equivalent alterations and modifications within the scope of the invention are also within the scope of the invention.