CN117975794A

CN117975794A - Teaching tool

Info

Publication number: CN117975794A
Application number: CN202310902251.8A
Authority: CN
Inventors: 徐天福
Original assignee: Individual
Current assignee: Individual
Priority date: 2023-07-21
Filing date: 2023-07-21
Publication date: 2024-05-03

Abstract

The invention discloses a teaching tool which comprises a bottom plate, a drawing board and a movable plate, wherein a mounting hole is formed in the bottom plate, and a magnet is fixed in the mounting hole; the drawing board is fixed on the bottom plate. The teaching tool is used for teaching a teaching aid of similar triangle teaching research, has a simple structure and is easy to operate, students can quickly and easily master similar triangle knowledge, and can guide the students to link and string knowledge of related geometric figures, comprehensively acquire the knowledge, master the knowledge and build a system, build geometric intuitiveness and improve abstract capability and reasoning capability.

Description

Teaching tool

Technical Field

The invention relates to the technical field of teaching devices, in particular to a teaching tool.

Background

Triangle is basic figure in mathematics, similar triangle is one of key and the difficult point of junior middle school's mathematical education, but has all missed the design of teaching aid in the teaching material of current multiple version, this certainly has increased the degree of difficulty for the teaching and has influenced the teaching effect, is unfavorable for student's space imagination's development, prevents student's mathematical core literacy's formation and development, consequently, similar triangle teaching aid's design and improvement have important meaning to junior middle school's mathematical education.

The figures having the same shape are called similar figures, and in particular, the polygons having the same shape are called similar polygons; triangles of the same shape are called similar triangles. Triangles are the simplest polygons, and a study of a particular similar pattern, a similar polygon, needs to begin with a study of similar triangles.

Aiming at the problem that teaching aids are absent in various math teaching materials of junior middle school, the invention provides a tool applied to math teaching.

Disclosure of Invention

Aiming at the defects in the prior art, the invention provides a teaching tool which is simple and reasonable in structure and convenient to popularize.

The teaching tool comprises a bottom plate, a drawing board and a movable plate, wherein a mounting hole is formed in the bottom plate, and a magnet is fixed in the mounting hole; the drawing board is fixed on the bottom plate.

Preferably, the drawing board is provided with a plane rectangular coordinate system and a plurality of specific point coatings, a delta A ' B ' C ' coating and a delta ABC coating, wherein the delta A ' B ' C ' coating is positioned on the right side of the plane rectangular coordinate system and the specific point coatings, the delta ABC coating is positioned on the left side of the plane rectangular coordinate system and the specific point coatings, and the delta A ' B ' C ' and the delta ABC are identical in shape, namely similar.

Preferably, the movable plate is provided with a Δabc coating, wherein Δabc and Δabc are equal.

Preferably, the planar rectangular coordinate system and the plurality of point-specific coatings include an origin O, x axis and a y axis, wherein the y axis is provided with a plurality of equally divided points and the sides B ' C ' of the A ' B ' C ' are parallel to the x axis.

Preferably, the length and width of the drawing board are equal to those of the bottom plate, and the drawing board is fixed on the bottom plate through adhesion.

Preferably, the movable plate is a transparent acrylic plate.

Preferably, the bottom plate can be attracted to the teaching blackboard through the magnet.

The beneficial effects of the invention are as follows:

the teaching tool is used for teaching a teaching aid of similar triangle teaching research, has a simple structure and is easy to operate, students can quickly and easily master similar triangle knowledge, and can guide the students to link and string knowledge of related geometric figures, comprehensively acquire the knowledge, master the knowledge and build a system, build geometric intuitiveness and improve abstract capability and reasoning capability.

Drawings

In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings that are needed in the embodiments will be briefly described below, it being understood that the following drawings only illustrate some embodiments of the present invention and should not be considered as limiting the scope, and other related drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.

FIG. 1 is a front view of a drawing board;

FIG. 2 is a front view of the fly leaf;

FIG. 3 is a perspective view I of the base plate and drawing board;

FIG. 4 is a second perspective view of the base plate and drawing board;

FIG. 5 is a schematic diagram of a drawing board manufacturing process;

1-baseboard, 2-drawing board, 3-movable board, 4-mounting hole, 5-plane rectangular coordinate system and several special point coating, 6-delta A ' B ' C ' coating, 7-delta ABC coating, 8-delta ABC coating.

Detailed Description

For the purpose of making the objects, technical solutions and advantages of the embodiments of the present invention more apparent, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention, and it is apparent that the described embodiments are some embodiments of the present invention, but not all embodiments of the present invention. The components of the embodiments of the present invention generally described and illustrated in the figures herein may be arranged and designed in a wide variety of different configurations.

In the description of the embodiments of the present invention, it should be noted that, if the terms "center", "upper", "lower", "left", "right", "vertical", "horizontal", "inner", "outer", etc. indicate an azimuth or a positional relationship based on that shown in the drawings, or an azimuth or a positional relationship in which the product of the present invention is conventionally put when used, it is merely for convenience of describing the present invention and simplifying the description, and it does not indicate or imply that the apparatus or element to be referred to must have a specific azimuth, be configured and operated in a specific azimuth, and thus should not be construed as limiting the present invention.

As shown in the figure, the teaching tool comprises a bottom plate 1, a drawing board 2 and a movable plate 3, wherein a mounting hole 4 is formed in the bottom plate 1, and a magnet is fixed in the mounting hole 4; the length and width of the drawing board 2 are equal to those of the bottom board 1, and the drawing board is fixed on the bottom board 1 by gluing.

The drawing board 2 is provided with a plane rectangular coordinate system and a plurality of specific points (6 points are used for similarly exploring with the origin of coordinates as the center, 3 points are used for making parallel lines, 2 points are used for making vertical lines) coating 5, and the origin O, x axis and the y axis of the plane rectangular coordinate system are used for teaching exploration of vertex coordinates of two triangles which are similar to the origin O;

Taking a point D on the y axis, taking D as a point F obtained by taking a long and sequential cutting 5 segments, taking 5 equal division as an example, equally dividing a segment DF, and taking each equal division point as an x-axis parallel line according to steps of 1, 2,3, 4 and 5 (a parallel line pithy formula). From the "inference of parallel axiom" it is deduced that 6 straight lines are parallel to each other, i.e.: the line segments of a group of parallel straight lines (6) cut on the y axis are equal, and the distance between every two adjacent straight lines is d. A set of parallel straight lines, taking 6 as an example, inferentially demonstrate a series of theorems and their relationships, which are "related to similar triangles".

The line segment DE is provided with an optional point A ', the straight line FG is provided with optional points B', C ', and the triangle A' B 'C' is drawn; in the drawing board 2, the point A 'is left up, the triangle A' B 'C' is drawn, such that A "B"// A 'B', B "C"// B 'C', A "C"// A 'C'. Taking a point H on A "B", rotating DeltaA "B" C "anticlockwise by 90 degrees with H as the center to obtain DeltaABC.

The ΔA "B" C "and point H are discarded. According to the "straight line axiom: and determining a straight line by two points, discarding parallel lines, and reserving equal division points of the line segments DF to obtain the graph on the final drawing board, so that the operability and the simplicity of the demonstration surface can be improved.

And spraying deltaabc (without letters) on the movable plate, wherein the deltaabc and deltaA ' B ' C ' have the same shape, i.e. are similar. The movable plate is moved during teaching to enable the corner parts of the delta abc and the delta A 'B' C 'to be overlapped, so that the situation of overlapping comparison of the delta abc and the delta A' B 'C' can be clearly observed, and the exploration of the similar triangle from the shape relation to the number relation is completed.

The bottom plate is fixed on the teaching blackboard through magnet attraction; the movable plate 3 is a transparent acrylic plate, and when teaching, the movable plate is moved or turned over on the drawing board, and is placed according to certain specific points, and triangle is taken as an example to finish the following steps: a search for likeness, a search for properties and a search for a determination method. Clear and visual display is beneficial to improving the learning interest of students, reducing the teaching difficulty and improving the teaching efficiency.

The above description is illustrative of the preferred embodiments of the present invention and is not intended to limit the scope of the present invention, but is to be accorded the full scope of the claims.

Claims

1. The teaching tool is characterized by comprising a bottom plate (1), a drawing board (2) and a movable plate (3), wherein a mounting hole (4) is formed in the bottom plate (1), and a magnet is fixed in the mounting hole (4); the drawing board (2) is fixed on the bottom plate (1).

2. A teaching tool according to claim 1 and characterised in that: the drawing board (2) is provided with a plane rectangular coordinate system and a plurality of specific point coating layers (5), a delta A ' B ' C ' coating layer (6) and a delta ABC coating layer (7), wherein the delta A ' B ' C ' coating layer (6) is positioned on the right side of the plane rectangular coordinate system and the specific point coating layers (5), the delta ABC coating layer is positioned on the left side of the plane rectangular coordinate system and the specific point coating layers (5), and the delta A ' B ' C ' and the delta ABC are identical in shape, namely similar.

3. A teaching tool according to claim 2 and characterised in that: the movable plate (3) is provided with a delta ABC coating (8), wherein delta ABC and delta ABC are equal.

4. A teaching tool according to claim 3 and characterised in that: the plane rectangular coordinate system and the specific point coating (5) comprise an origin O, x axis and a y axis, wherein the y axis is provided with a plurality of equally divided points, and the side B ' C ' of the delta A ' B ' C ' is parallel to the x axis.

5. A teaching tool according to claim 1 and characterised in that: the length and width of the drawing board (2) are equal to those of the bottom board (1), and the drawing board (2) is fixed on the bottom board (1) through adhesion.

6. A teaching tool according to claim 1 and characterised in that: the movable plate (3) is a transparent acrylic plate.

7. A teaching tool according to claim 1 and characterised in that: the bottom plate (1) is attracted to the teaching blackboard through the magnet.