CN216596627U - Cubic difference demonstration teaching aid - Google Patents
Cubic difference demonstration teaching aid Download PDFInfo
- Publication number
- CN216596627U CN216596627U CN202122883727.7U CN202122883727U CN216596627U CN 216596627 U CN216596627 U CN 216596627U CN 202122883727 U CN202122883727 U CN 202122883727U CN 216596627 U CN216596627 U CN 216596627U
- Authority
- CN
- China
- Prior art keywords
- movable block
- block
- base
- main
- height
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired - Fee Related
Links
- 238000004364 calculation method Methods 0.000 description 4
- 238000010586 diagram Methods 0.000 description 4
- 238000000034 method Methods 0.000 description 4
- 239000010409 thin film Substances 0.000 description 2
- 238000009795 derivation Methods 0.000 description 1
Images
Landscapes
- Toys (AREA)
Abstract
A teaching aid for demonstrating the cubic difference comprises a base block, a main movable block, a left movable block and a right movable block. The base block, the main movable block, the left movable block and the right movable block are all of rectangular structures, three round holes are formed in the base block, and columnar bodies are arranged at the bottoms of the main movable block, the left movable block and the right movable block and embedded in the round holes. The edges of the base block, the main movable block, the left movable block and the right movable block are marked with letter marks for indicating length, width and height. The utility model has the advantages that: the student can be intuitively helped to understand the cubic difference formula.
Description
Technical Field
The utility model relates to a cubic difference demonstration teaching aid which is used for assisting a teacher in explaining a cubic difference formula and belongs to the field of education and teaching.
Background
In mathematical education, the students have difficulty in intuitively understanding the reasoning process of the cubic difference formula due to the high times and the lack of intuition.
SUMMERY OF THE UTILITY MODEL
In view of the above problems, the present invention aims to provide a technical solution for enabling students to intuitively understand the derivation process of the cubic difference formula through the concept of volume by the combination of the base block, the main moving block, the left moving block and the right moving block.
The utility model consists of a base block 0, a main movable block 1, a left movable block 2 and a right movable block 3 (figure 1).
The base block 0 is a rectangular body structure with three circular holes 5 (fig. 2) on the top.
The base block 0 is marked with a letter 4 for indicating its length, width and height.
The base block 0 has a length equal to a width, and the index values of the two are denoted by a. The high of base block 0 is denoted by a-b.
The main activity block 1 is provided with a letter mark 4 for indicating the length, width and height thereof.
The main movable block 1 is a rectangular structure, the length, width and height of which are equal, and the index value is denoted by a.
The bottom of the main movable block 1 is provided with a cylinder 6 (figure 3), and the axis of the cylinder 6 is vertical to the bottom surface of the main movable block 1. The diameter of the cylinder 6 is equal to the diameter of the round hole 5 of the base block 0, and the height is not more than the depth of the round hole 0. The cylindrical body 6 is embedded in the circular hole 5.
The left movable block 2 is marked with a letter mark 4 for indicating its length, width and height. The bottom of the right movable block 2 is provided with a cylinder 6 (figure 4), and the axis of the cylinder 6 is vertical to the bottom surface of the left movable block 2.
The length of the left active block 2, equal to the difference between the length of the base block 1 and the length of the master active block 1, is denoted by a-b.
The width of the left active block 1 is equal to the width of the base block 0, and its index value is denoted by a. The height of the left active block 1 is equal to the height of the main active block 1, and the index values of the two are represented by b.
The bottom of the left movable block 1 is provided with a cylinder 6 (figure 5), and the axis of the cylinder 6 is vertical to the bottom surface of the right movable block 3. The diameter of the cylinder 6 is equal to the diameter of the round hole 5 of the base block 0, and the height is not more than the depth of the round hole 0. The cylindrical body 6 is embedded in the circular hole 5.
The right movable block 3 is marked with a letter mark 4 for indicating the length, width and height thereof.
The length of the right active block 3, equal to the length of the main active block 1, is denoted by b. The width of the master active block 1, equal to the difference between the length of the base block 0 and the length of the master active block 1, is denoted by a-b.
The height of the right active block 3, equal to the height of the main active block 1, is denoted by b.
The bottom of the right movable block 3 is provided with a cylinder 6. The diameter of the cylinder 6 is equal to the diameter of the round hole 5 of the base block 0, and the height is not more than the depth of the round hole 0. The cylindrical body 6 is embedded in the circular hole 5.
When the cylinders 6 at the bottoms of the main movable block 1, the left movable block 2 and the right movable block 3 are embedded in the round holes 5 of the base block 0, the projection of the utility model in the vertical direction and the projection in the horizontal direction are congruent squares, and the side length of each square is equal to a.
Drawings
FIG. 1 is a block diagram of the present invention.
Wherein: 0-base block; 1-main movable block; 2-left movable block; 3-right movable block; 4-letter identification.
Fig. 2 is a structural diagram of the base block 0.
Wherein: 0-base block; 5-circular hole.
Fig. 3 is a structural view of the main moving block.
Wherein: 1-main movable block; 6-cylinder.
Fig. 4 is a structural diagram of the left moving block.
Wherein: 2-left movable block; 6-cylinder.
Fig. 5 is a structural view of the right movable block.
Wherein: 3-right movable block; 6-cylinder.
FIG. 6 is a structural relationship diagram of a base block, a left moving block, and a right moving block.
Wherein: 0-base block; 2-left movable block; 3-right movable block; 4-letter identification; 5-circular hole.
Detailed Description
The following describes an embodiment of the present invention with reference to the drawings (fig. 1, fig. 2, fig. 3, fig. 4, fig. 5, fig. 6) of the present invention.
The utility model consists of a base block 0, a main movable block 1, a left movable block 2 and a right movable block 3 (figure 1).
The base block 0 is of a rectangular structure, three round holes 5 (shown in figure 2) are formed in the top of the base block, and the round holes 6 are used for installing the main movable block 1, the left movable block 2 and the right movable block 3 on the base block 0.
The base block 0 is marked with a letter 4 for indicating its length, width and height.
The base block 0 is equal in length to width, and the index values of both are denoted by a. The high of base block 0 is denoted by a-b.
According to the volume calculation formula of the cuboid, the volume of base block 0 is a (a-b), the volume of the present invention is a thin slab.
The main activity block 1 is provided with a letter mark 4 for indicating the length, width and height thereof.
The main movable block 1 is a rectangular structure, the length, width and height of which are equal, and the index value is denoted by a. And b, carrying out the heavy planting on the main movable block 1 according to the volume calculation formula of the cuboid.
The bottom of the main movable block 1 is provided with a cylinder 6 (figure 3), and the axis of the cylinder 6 is vertical to the bottom surface of the main movable block 1. The diameter of the cylinder 6 is equal to the diameter of the round hole 5 of the base block 0, and the height is not more than the depth of the round hole 0. The cylindrical body 6 is embedded in the circular hole 5.
The left movable block 2 is marked with a letter mark 4 for indicating its length, width and height. The bottom of the right movable block 2 is provided with a cylinder 6 (figure 4), and the axis of the cylinder 6 is vertical to the bottom surface of the left movable block 2.
The length of the left active block 2, equal to the difference between the length of the base block 1 and the length of the master active block 1, is denoted by a-b.
The width of the left active block 1 is equal to the width of the base block 0, and its index value is denoted by a. The height of the left active block 1 is equal to the height of the main active block 1, and the index values of the two are represented by b.
The volume of the left movable block 1 is ab (a-b) according to the volume calculation formula of the rectangular volume.
The bottom of the left movable block 1 is provided with a cylinder 6 (figure 5), and the axis of the cylinder 6 is vertical to the bottom surface of the right movable block 3. The diameter of the cylinder 6 is equal to the diameter of the round hole 5 of the base block 0, and the height is not more than the depth of the round hole 0. The cylindrical body 6 is embedded in the circular hole 5.
The right movable block 3 is marked with a letter mark 4 for indicating the length, width and height thereof.
The length of the right active block 3, equal to the length of the main active block 1, is denoted by b. The width of the master active block 1, equal to the difference between the length of the base block 0 and the length of the master active block 1, is denoted by a-b.
The height of the right active block 3, equal to the height of the main active block 1, is denoted by b.
The volume of the right movable block 3 is b (a-b) according to the volume calculation formula for the rectangular volume.
The bottom of the right movable block 3 is provided with a cylinder 6. The diameter of the cylinder 6 is equal to the diameter of the round hole 5 of the base block 0, and the height is not more than the depth of the round hole 0. The cylindrical body 6 is embedded in the circular hole 5.
When the cylinders 6 at the bottoms of the main movable block 1, the left movable block 2 and the right movable block 3 are embedded in the round holes 5 of the base block 0, the projection of the utility model in the vertical direction and the projection in the horizontal direction are congruent squares, and the side length of each square is equal to a.
When the method is used for assisting in verifying the cubic difference formula, the main movable block 1 is taken down from the method, and the sum of the volumes of the rest base block 0, the left movable block 2 and the right movable block 3 is obtained by carrying out a cultivation under a condition of a thin film and a thin film.
The volumes of the three are respectively a (a-b), ab (a-b) and b (a-b), the volume sum of the three is a (a-b) + ab (a-b) + b (a-b), the operation result of a-b after the three extract the formula is (a-b) (a + ab + b), the cubic difference formula is verified.
Claims (1)
1. A cube difference demonstration teaching aid is characterized in that: comprises a base block, a main movable block, a left movable block and a right movable block; the base block, the main movable block, the left movable block and the right movable block are all in a rectangular structure, three circular holes are formed in the base block, and columnar bodies are arranged on the main movable block, the left movable block and the right movable block and embedded in the circular holes; the edges of the base block, the main movable block, the left movable block and the right movable block are marked with letter marks for indicating length, width and height.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202122883727.7U CN216596627U (en) | 2021-11-23 | 2021-11-23 | Cubic difference demonstration teaching aid |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202122883727.7U CN216596627U (en) | 2021-11-23 | 2021-11-23 | Cubic difference demonstration teaching aid |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN216596627U true CN216596627U (en) | 2022-05-24 |
Family
ID=81646207
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202122883727.7U Expired - Fee Related CN216596627U (en) | 2021-11-23 | 2021-11-23 | Cubic difference demonstration teaching aid |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN216596627U (en) |
-
2021
- 2021-11-23 CN CN202122883727.7U patent/CN216596627U/en not_active Expired - Fee Related
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN216596627U (en) | Cubic difference demonstration teaching aid | |
| CN202352780U (en) | Multiple-time sealing device for battery | |
| CN203825886U (en) | Mathematic stereo model combination teaching aid for students | |
| CN106079979A (en) | A kind of multifunctional mathmatical coordinatometer | |
| CN203733370U (en) | Test stand used for scientific teaching | |
| CN202838747U (en) | Area relationship demonstrator for triangles with equal bottoms and equal heights | |
| CN104103208A (en) | Space geometry three-view visual model | |
| CN203689764U (en) | Primary school mathematics teaching aid used for demonstrating race between rabbit and tortoise | |
| CN202331974U (en) | Demonstrator for definite integral of exponential function | |
| CN205487009U (en) | Mathematical teaching demonstration device | |
| CN218957281U (en) | Learning aid for moving point learning | |
| CN201984712U (en) | Contour demonstration device for geography teaching use | |
| CN201035781Y (en) | Stereo graphic demonstrating device | |
| CN202049641U (en) | Teaching aid combination | |
| CN204406803U (en) | A kind of space geometry teaching mould | |
| CN202584495U (en) | Demonstration plate for teaching mathematical addition and subtraction in school for deaf-mutes | |
| CN203276715U (en) | Map used for geographical teaching | |
| CN201126648Y (en) | Mathematics polygon demonstration apparatus | |
| CN204506255U (en) | A kind of math teacher multifunctional drawing tool | |
| CN201829091U (en) | Cone teaching aid | |
| CN102184663A (en) | Combined teaching aid | |
| CN214564183U (en) | Ruler for rapidly equally dividing mathematical geometric line segments of primary school | |
| CN203038521U (en) | Rectangular area and triangle angle demonstrating device for primary school mathematics | |
| CN201063210Y (en) | Device for demonstrating journey question | |
| CN203055316U (en) | Geography teaching appliance used for demonstrating contour lines |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| GR01 | Patent grant | ||
| GR01 | Patent grant | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20220524 |