CN211294397U

CN211294397U - Differential teaching demonstration model

Info

Publication number: CN211294397U
Application number: CN202020419529.8U
Authority: CN
Inventors: 李俊磊; 栗文辉; 韩建邦
Original assignee: Zhengzhou University of Science and Technology
Current assignee: Zhengzhou University of Science and Technology
Priority date: 2020-03-27
Filing date: 2020-03-27
Publication date: 2020-08-18
Anticipated expiration: 2030-03-27

Abstract

The utility model relates to a differential teaching demonstration model, which effectively solves the problems that the teaching mode is abstract and the workload of teachers is large when the existing differential teaching is carried out; the technical scheme comprises the following steps: the differential teaching demonstration model is divided into a blackboard writing area and a demonstration area, the blackboard writing area is used for writing a function differential equation to be explained, the demonstration area can demonstrate the function differential equation and is used for deepening understanding and learning of students on the differential, and the demonstration model can demonstrate different functions, so that the flexibility is high and the applicability is strong.

Description

Differential teaching demonstration model

Technical Field

The utility model relates to a differential teaching technical field specifically is a differential teaching demonstration model.

Background

In mathematics, differentiation is a linear description of the local change rate of a function, and can approximately describe how the value of the function changes when the value of the function argument changes slightly enough, a drawing method is adopted, a tangent line of the point is drawn, the slope of the tangent line is taken as the slope of the point, when the slope of a certain point on a curve needs to be obtained, however, the drawn tangent line has errors, namely, the slope obtained by the drawing method is not a completely accurate slope, and the differentiation is generated at the earliest in order to solve the problem mathematically;

however, in the existing differential teaching process, teachers often only use a differential equation to realize differential teaching, and the students are relatively abstract in the learning process and unfavorable for understanding of the students, so that the differential teaching efficiency is not high, or teachers demonstrate by drawing a function curve and drawing the function curve for deepening the learning of the students on the differential, but the teachers need time for drawing and usually draw a lot of function curves for explaining the students in a class, and in addition, the limitation of a blackboard writing area in the classroom, the teachers also need to wipe the function curve which is explained and then perform new function curve drawing again, so that more chalk dust is caused by back-and-forth wiping, the teachers are easy to suck more chalk dust, and the health of the teachers is unfavorable for the long time;

in view of the above, we provide a differential teaching demonstration model for solving the above problems.

SUMMERY OF THE UTILITY MODEL

To the circumstances, for overcoming prior art's defect, the utility model relates to a differential teaching demonstration model, this differential teaching demonstration model divide into blackboard writing district and demonstration district, and the blackboard writing district is used for writing the function differential equation of wanting the explanation, and the demonstration district can realize demonstrating function differential equation for deepen the student to understanding, the study of differential, this demonstration model can realize demonstrating the function of difference moreover, and the flexibility is high and the suitability is strong.

The utility model provides a differential teaching demonstration model, includes the base plate, its characterized in that, the horizontal one side of base plate is equipped with the blackboard writing district and the horizontal opposite side of base plate is equipped with the demonstration district, the horizontal slidable mounting in demonstration district has vertical slidable mounting on U-shaped frame and the U-shaped frame to have the T-shaped piece, rotate on the T-shaped piece and install bearing board and the bearing board on horizontal interval and rotate and install engaged with gear, rotate respectively on the bearing board install with coaxial pivoted arc pole and two the arc pole is mutually supported and is constituteed the function curve, it satisfies to be provided with its this adjusting device of adjusting device on the bearing board: the adjusting device is used for adjusting the function curve to express different functions, a locking device used for locking the bearing plate is arranged in the T-shaped block, a coordinate axis is arranged in the demonstration area, and an auxiliary scribing device is arranged at the upper end and the lower end of the demonstration area in a transverse sliding mode.

Preferably, the adjusting device comprises a rotating frame fixedly installed on the upper end surface of the bearing plate, a bearing block is installed on the rotating frame in a transversely rotating mode, an internal thread cylinder is installed on the bearing block in a rotating mode, and an adjusting screw rod in threaded fit with the internal thread cylinder is installed on one of the arc-shaped rods in a transversely rotating mode.

Preferably, the loading board rotates through the pivot with an organic whole body coupling and installs on the T-shaped piece and be equipped with on the T-shaped piece with pivot normal running fit's round hole, locking device including set up in the T-shaped piece and with the arc chamber of round hole with the axle center, arc chamber and round hole intercommunication and arc intracavity have the sector plate along round hole diameter direction slidable mounting, the sector plate is installed rubber friction piece and sector plate and deviates from pivot one side rotation and installs the locking screw with T-shaped piece screw-thread fit towards pivot one side.

Preferably, the upper end and the lower end of the demonstration area are provided with slideways in transverse sliding fit with the two cantilevers of the U-shaped frame, and one of the slideways is rotatably provided with a movable lead screw in threaded fit with the cantilevers of the U-shaped frame.

Preferably, a sliding cavity in vertical sliding fit with the T-shaped block is arranged at the connecting part between the two cantilevers of the U-shaped frame, and a lifting screw rod in threaded fit with the T-shaped block is rotatably arranged in the sliding cavity.

Preferably, both ends are equipped with the spout of horizontal extension and the horizontal slidable mounting has the slider in the spout about the demonstration district, supplementary marking device includes: and a telescopic rod is arranged between the two sliding blocks, one end of the telescopic rod is rotatably installed with the sliding block positioned above, and the other end of the telescopic rod is rotatably installed with the sliding block positioned below.

The beneficial effects of the technical scheme are as follows:

(1) the differential teaching demonstration model is divided into a blackboard writing area and a demonstration area, the blackboard writing area is used for writing a function differential equation to be explained, the demonstration area can realize demonstration of the function differential equation, and the understanding and learning of students on the function differential can be greatly promoted through the function differential equation of the blackboard writing area and a corresponding function image curve demonstrated by the demonstration area, namely, the function equation is matched with an actual function image;

(2) in the scheme, different function equations can be demonstrated in the demonstration area, then the differential solution is carried out on the function equations of different types, the understanding and learning of students on the differential are further increased, the scheme is high in flexibility and strong in applicability, and teachers can be better helped to realize the teaching on the function differential;

(3) different function image curves are demonstrated in the demonstration area through the two arc-shaped rods, and then differential solution teaching is carried out on students, the times that teachers draw the function image curves on a class are reduced, the frequency that teachers wipe the blackboard is also reduced, and therefore the situation that teachers inhale more chalk powder is also avoided.

Drawings

FIG. 1 is a schematic view of the overall structure of the present invention;

FIG. 2 is a schematic diagram illustrating a curve of a function according to the present invention;

FIG. 3 is a schematic diagram illustrating the curve of function b according to the present invention;

FIG. 4 is a schematic diagram illustrating a curve of a function c according to the present invention;

FIG. 5 is a schematic view of a local enlarged demonstration area of the present invention;

FIG. 6 is a schematic view of the vertical part of the U-shaped frame of the present invention with a cross-section view of the internal structure;

FIG. 7 is a schematic view of the fitting relationship between the two arc-shaped rods and the U-shaped frame;

FIG. 8 is a schematic view of the fitting relationship between the arc rod and the adjusting device of the present invention;

FIG. 9 is an enlarged view of the structure at the position A of the present invention;

FIG. 10 is a schematic view of the fitting relationship between the arc plate, the rotating shaft and the locking screw rod of the present invention;

FIG. 11 is a schematic view of the T-shaped block of the present invention showing the fitting relationship between the arc-shaped plate and the rotating shaft after partially cut;

FIG. 12 is a schematic view of the T-shaped block of the present invention separated from the carrier plate;

FIG. 13 is a schematic view of the present invention in a transverse side elevation;

fig. 14 is a schematic view of the rotating member and the bearing block of the present invention.

In the figure: the technical scheme includes that the multifunctional blackboard writing device comprises a base plate 1, a blackboard writing area 2, a U-shaped frame 3, a T-shaped block 4, a bearing plate 5, a gear 6, an arc-shaped rod 7, a rotating frame 8, a bearing block 9, an internal thread cylinder 10, an adjusting screw rod 11, a rotating shaft 12, a round hole 13, an arc-shaped cavity 14, a sector plate 15, a locking screw rod 16, a slide way 17, a moving screw rod 18, a slide cavity 19, a lifting screw rod 20, a sliding block 21, a sliding groove 22, a telescopic rod 23, a demonstration area 24.

Detailed Description

The foregoing and other technical matters, features and effects of the present invention will be apparent from the following detailed description of the embodiments, which is to be read in connection with the accompanying drawings of fig. 1 to 14. The structural contents mentioned in the following embodiments are all referred to the attached drawings of the specification.

Exemplary embodiments of the present invention will be described below with reference to the accompanying drawings.

First embodiment, this embodiment provides a differential teaching demonstration model, as shown in fig. 1, comprising a substrate 1, it is characterized in that a blackboard writing area 2 is arranged on one transverse side of a base plate 1, a demonstration area 24 is arranged on the other transverse side of the base plate 1, a U-shaped frame 3 is transversely installed on the demonstration area 24 in a sliding mode (referring to figure 13, the vertical part of the U-shaped frame 3 is hollowed), and the T-shaped block 4 is vertically and slidably arranged at the vertical hollowed part of the U-shaped frame 3, as shown in the attached figure 10, the T-shaped block 4 is rotatably provided with a bearing plate 5, the bearing plate 5 is transversely and alternately rotatably provided with gears 6 which are meshed with each other, the bearing plate 5 is respectively rotatably provided with arc-shaped rods 7 which coaxially rotate with the gear 6, and the two arc-shaped rods 7 are mutually matched to form a function curve (namely, a quadratic function image, as shown in the attached figure 5), the bearing plate 5 is provided with an adjusting device, and the adjusting device meets the following requirements: the function curve is adjusted by the adjusting device to express different functions, as shown in the attached drawings 2 and 3, namely, quadratic functions (as shown in the attached drawings 2 and 3) with different opening sizes can be demonstrated, function curve equations with different opening sizes can be demonstrated through the two arc-shaped rods 7 which are matched with each other under the action of the adjusting device, and the understanding, memory and learning of students to the function differential equations can be deepened by carrying out differential solution on the demonstrated different function equations;

when the function equations with different openings facing downwards need to be demonstrated, the locking device is firstly used for unlocking the bearing plate 5, then the arc-shaped rods 7 are rotated to drive the bearing plate 5 to rotate around the T-shaped block 4, so that the openings of the function curves formed by the two arc-shaped rods 7 face different directions (as shown in figure 4, a quadratic function image curve with the downward opening is shown), a teacher carries out differential mapping solution on the demonstrated different quadratic function equations, learning and memory of function differentials by students are further deepened, and the original abstract function differential teaching becomes easy to understand, the classroom learning efficiency is greatly increased;

referring to fig. 1, we have set coordinate axes 25 (i.e., X, Y axes) within the presentation area 24 to assist the teacher in demonstrating various functional curve images through the two curved bars 7, where it is noted that: because only the function differential teaching demonstration model is used, only the rough image curve contour of the function to be taught needs to be demonstrated in the demonstration area 24, the function image does not need to be accurately drawn, the rough image contour of the function to be taught needs to be demonstrated, and in addition, a tangent line (namely the slope of the point) of a certain point is converged on the function curve through an auxiliary marking device arranged in the demonstration area 24, so that the effect of function differential teaching is achieved (whether specific solution is needed or a blackboard writing is needed to be specifically calculated through a function differential equation), and the demonstration is only used for helping students deepen understanding and learning of function differential solution, so that the original abstract differential teaching becomes easy to learn.

In the second embodiment, on the basis of the first embodiment, referring to fig. 10, the adjusting device includes a rotating frame 8 fixedly installed on the upper end surface of the bearing plate 5, referring to fig. 14, a bearing block 9 is installed on the rotating frame 8 in a laterally rotating manner, an internal thread cylinder 10 is installed on the bearing block 9 in a rotating manner, referring to fig. 8, an adjusting screw 11 in threaded fit with the internal thread cylinder 10 is installed on one of the arc-shaped rods 7 in a laterally rotating manner, when function image curves with different opening sizes need to be demonstrated, we drive the adjusting screw 11 in threaded fit with the internal thread cylinder 10 to move along the internal thread cylinder 10 by screwing the internal thread cylinder 10, so as to drive the arc-shaped rod 7 to rotate, and when the arc-shaped rod 7 rotates, further drive the gear 6 coaxially rotating with the other arc-shaped rod 7 to rotate by the gear 6 coaxially rotating with the same shaft, so as to achieve the effect of adjusting the size, the functional image curves with different opening sizes were finally demonstrated.

In the third embodiment, on the basis of the first embodiment, referring to fig. 10, the bearing plate 5 is rotatably mounted on the T-shaped block 4 through a rotating shaft 12 integrally connected with the bearing plate, a round hole 13 (as shown in fig. 12) rotatably matched with the rotating shaft 12 is formed in the T-shaped block 4, referring to fig. 11, the locking device comprises an arc-shaped cavity 14 which is arranged in the T-shaped block 4 and has the same axis as the round hole 13, the arc-shaped cavity 14 is communicated with the round hole 13, a fan-shaped plate 15 is slidably mounted in the arc-shaped cavity 14 along the diameter direction of the round hole 13, a rubber friction plate is mounted on one side of the fan-shaped plate 15 facing the rotating shaft 12, a locking screw 16 which is in threaded fit with the T-shaped block 4 is rotatably mounted on one side of the fan-shaped plate 15 away from the rotating shaft 12, when the two arc-shaped rods 7 are used for demonstration, the friction resistance between the bearing plate and the rotating shaft 12 is increased, so that the effect of firmly fixing the rotating shaft 12 can be achieved, and the bearing plate 5 and the T-shaped block 4 can be prevented from rotating relatively when a function image is demonstrated;

when the function image curves with different opening orientations need to be demonstrated, the locking screw 16 is screwed in the direction of the user to further drive the arc-shaped plate pressed on the rotating shaft 12 to be separated from the rotating shaft 12, at the moment, the bearing plate 5 is in a free state, the user rotates the arc-shaped rod 7 to further drive the bearing plate 5 to rotate around the T-shaped block 4, so that the opening orientation of the function image curve formed by the two arc-shaped rods 7 is adjusted to the direction required by the user to demonstrate different function image curves, and then the locking screw 16 is screwed again to enable the arc-shaped plate to be pressed on the rotating shaft 12 again to achieve locking of the bearing plate 5.

In the fourth embodiment, on the basis of the first embodiment, referring to fig. 1, the upper and lower ends of the demonstration area 24 are provided with slide ways 17 in transverse sliding fit with the two cantilevers of the U-shaped frame 3, and one of the slide ways 17 is rotatably provided with a movable lead screw 18 in threaded fit with the cantilever of the U-shaped frame 3, and the movable lead screw 18 is moved by a knob to drive the U-shaped frame 3 to transversely move in the demonstration area 24, so that the position of a function image curve formed by the two arc-shaped rods 7 in the X-axis direction in the coordinate axis 25 is changed.

In the fifth embodiment, on the basis of the first embodiment, referring to fig. 6 and 14, a sliding cavity 19 vertically and slidably engaged with the T-shaped block 4 is formed in a connecting portion between two cantilevers of the U-shaped frame 3, a lifting screw 20 in threaded engagement with the T-shaped block 4 is rotatably installed in the sliding cavity 19, and the lifting screw 20 is rotated to drive the T-shaped block 4 to vertically move in the sliding cavity 19, so that a function image curve formed by the two arc-shaped rods 7 is driven to be located in the Y-axis direction in the coordinate axis 25.

Sixth embodiment, on the basis of the first embodiment, referring to fig. 2, we have transversely extending sliding grooves 22 at the upper and lower ends of the demonstration area 24, and sliding blocks 21 are transversely slidably mounted in the sliding grooves 22, and the auxiliary scribing device includes: a telescopic rod 23 is arranged between the two sliding blocks 21, one end of the telescopic rod 23 is rotatably mounted with the sliding block 21 positioned above, the other end of the telescopic rod 23 is rotatably mounted with the sliding block 21 positioned below, after a function image curve formed by the two arc-shaped rods 7 is adjusted to be an image curve of a function equation required by the user in the demonstration area 24, the telescopic rod 23 is moved to a certain point position on the function image curve by adjusting the position of the telescopic rod 23 relative to the displayed function image curve, and the telescopic rod 23 is overlapped with a tangent line of the point on the function image curve, namely, the telescopic rod 23 is positioned in the tangent direction of the function image curve at the point, the teacher can make the tangent line of the function image curve at the point through the telescopic rod 23, and then the teacher can perform differential teaching by combining a differential solution equation, so that the originally abstract function teaching is simplified, Visualization, which is convenient for students to understand and remember.

The differential teaching demonstration model is divided into a blackboard writing area 2 and a demonstration area 24, the blackboard writing area 2 is used for writing a function differential equation to be explained, the demonstration area 24 can realize demonstration of the function differential equation, and understanding and learning of students on the function differential can be greatly promoted through the function differential equation of the blackboard writing area 2 and a corresponding function image curve demonstrated by the demonstration area 24, namely, the function equation and an actual function image are matched with each other;

in the scheme, different function equations can be demonstrated in the demonstration area 24, and then differential solution is carried out on the function equations of different types, so that understanding and learning of the differential by students are further improved, and the scheme has high flexibility and strong applicability and can better help teachers to realize teaching of the function differential;

different function image curves are demonstrated in the demonstration area 24 through the two arc-shaped rods 7, and then differential solution teaching is carried out on students, so that the times that teachers draw the function image curves on a class are reduced, the blackboard wiping frequency of the teachers is also reduced, and the situation that the teachers suck more chalk powder is also avoided.

The above description is only for the purpose of illustration, and it should be understood that the present invention is not limited to the above embodiments, and various modifications conforming to the spirit of the present invention are within the scope of the present invention.

Claims

1. The utility model provides a differential teaching demonstration model, includes base plate (1), its characterized in that, base plate (1) horizontal one side is equipped with blackboard writing district (2) and base plate (1) horizontal opposite side is equipped with demonstration district (24), demonstration district (24) horizontal slidable mounting has vertical slidable mounting to go up U-shaped frame (3) and U-shaped frame (3) has T-shaped piece (4), it installs lateral separation rotation on loading board (5) and installs engaged with gear (6) to rotate on T-shaped piece (4) respectively install with gear (6) coaxial pivoted arc pole (7) and two arc pole (7) are mutually supported and are constituteed the function curve, it satisfies to be provided with its adjusting device of adjusting device on loading board (5): the adjusting device is used for adjusting the function curve to express different functions, a locking device used for locking the bearing plate (5) is arranged in the T-shaped block (4), a coordinate axis (25) is arranged in the demonstration area (24), and auxiliary scribing devices are arranged in the demonstration area (24) in a mode that the upper end and the lower end of the demonstration area (24) slide transversely.

2. The differential teaching demonstration model according to claim 1, wherein the adjusting device comprises a rotating frame (8) fixedly mounted on the upper end surface of the bearing plate (5), a bearing block (9) is transversely and rotatably mounted on the rotating frame (8), an internally threaded cylinder (10) is rotatably mounted on the bearing block (9), and an adjusting screw (11) in threaded fit with the internally threaded cylinder (10) is transversely and rotatably mounted on one of the arc-shaped rods (7).

3. The differential teaching demonstration model according to claim 1, wherein the bearing plate (5) is rotatably mounted on the T-shaped block (4) through a rotating shaft (12) integrally connected with the bearing plate and a round hole (13) rotationally matched with the rotating shaft (12) is formed in the T-shaped block (4), the locking device comprises an arc-shaped cavity (14) which is arranged in the T-shaped block (4) and coaxial with the round hole (13), the arc-shaped cavity (14) is communicated with the round hole (13) and a sector plate (15) is slidably mounted in the arc-shaped cavity (14) along the diameter direction of the round hole (13), a rubber friction plate is mounted on one side of the sector plate (15) facing the rotating shaft (12), and a locking screw (16) in threaded fit with the T-shaped block (4) is rotatably mounted on one side of the sector plate (15) away from the rotating shaft (12.

4. The differential teaching demonstration model according to claim 1, wherein the upper and lower ends of the demonstration area (24) are provided with slideways (17) which are in transverse sliding fit with the two cantilevers of the U-shaped frame (3), and one of the slideways (17) is rotatably provided with a movable lead screw (18) which is in threaded fit with the cantilevers of the U-shaped frame (3).

5. The differential teaching demonstration model according to claim 1, wherein a sliding cavity (19) which is vertically and slidably matched with the T-shaped block (4) is arranged at the connecting part between the two cantilevers of the U-shaped frame (3), and a lifting screw rod (20) which is in threaded fit with the T-shaped block (4) is rotatably arranged in the sliding cavity (19).

6. The differential teaching demonstration model according to claim 1, wherein the demonstration area (24) is provided with a sliding groove (22) extending transversely at the upper end and the lower end thereof, and a sliding block (21) is mounted in the sliding groove (22) in a transversely sliding manner, and the auxiliary marking device comprises: and a telescopic rod (23) is arranged between the two sliding blocks (21), one end of the telescopic rod (23) is rotatably installed with the sliding block (21) positioned above, and the other end of the telescopic rod is rotatably installed with the sliding block (21) positioned below.