CN202230642U - Movable teaching model for demonstrating cubic formula of two number sum - Google Patents
Movable teaching model for demonstrating cubic formula of two number sum Download PDFInfo
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- CN202230642U CN202230642U CN201120366629XU CN201120366629U CN202230642U CN 202230642 U CN202230642 U CN 202230642U CN 201120366629X U CN201120366629X U CN 201120366629XU CN 201120366629 U CN201120366629 U CN 201120366629U CN 202230642 U CN202230642 U CN 202230642U
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- 230000000007 visual effect Effects 0.000 abstract 1
- 238000010586 diagram Methods 0.000 description 7
- 238000000034 method Methods 0.000 description 5
- 239000000463 material Substances 0.000 description 3
- 238000009795 derivation Methods 0.000 description 2
- 238000007789 sealing Methods 0.000 description 2
- 239000012780 transparent material Substances 0.000 description 2
- 238000005516 engineering process Methods 0.000 description 1
- 239000011521 glass Substances 0.000 description 1
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Abstract
The utility model discloses a movable teaching model for demonstrating a cubic formula of two number sum, which comprises a hollow large cube, wherein the hollow large cube comprises two small cubes and six cuboids. The side length of the hollow large cube is the sum of the side length of the two small cubes. The six cuboids are divided into two groups, and each group has three cuboids. The length and the width of the first group cuboids are identical to the side length of a small cube, and the height of the first group cuboids is identical to the side length of another small cube. The length and the width of the second group cuboids are identical to the height of the first group cuboids, and the height of the second group cuboids is identical to the length and the width of the first group cuboids. The hollow large cube is sealed in five faces and opened in one face. The two small cubes and the six cuboids are movable, can be just placed inside the hollow large cube without gaps and fill full the inside of the hollow large cube. Through the composition structure, the movable teaching model for demonstrating the cubic formula of the two number sum displays the algebra concept of the digital sum cube vividly, can give students visual concepts, and improves understanding and studying efficiency.
Description
Technical field
The utility model relates to a kind of teaching mode, relate in particular to a kind of be used to demonstrate two numbers and the activity teaching model of cube formula.
Background technology
Teaching mode is the common a kind of teaching appliance of middle-school mathematics teaching, can help the teacher vivider, lecture mathematical knowledge intuitively, effectively, help the student to understand better and grasp mathematical knowledge.In traditional mathematic teaching, two numbers and cube formula (a+b)
3=a
3+ 3a
2B+3ab
2+ b
3Belonging to algebraic expression computing category, all is that the derivation operation through algebraic expression proves, derivation theoretical abstraction for the student is difficult for accepting.Geometry such as cube, rectangular parallelepiped belongs to the geometry category, and this type of geometric model is generally used for the several teaching field, can demonstrate the space structure of object vivid, intuitively, has vivid, understandable focus.
Still there is not teaching mode at present, can be applicable to binding geometry and algebraical application simultaneously.
Summary of the invention
The purpose of the utility model provides the activity teaching model of a kind of two numbers and cube formula; Can be intuitively, visually with two numbers and cube formula and square, the cubature formula of rectangular parallelepiped link together; Not only improve students'interest in learning; Foster students', the novelty thinking ability that also helps to cultivate the student.
For realizing above-mentioned purpose, the technical scheme that the utility model adopted is:
The activity teaching model of a kind of two numbers and cube formula comprises a hollow big cube, and hollow big cube comprises 2 small cubes, 6 rectangular parallelepipeds.
Wherein, the hollow big cubical length of side length of side sum that is two small cubes; 6 rectangular parallelepipeds are divided into two groups, 3 every group: the length of first group rectangular parallelepiped is identical with a small cubes length of side with width, and height is identical with the length of side of another small cubes; The length of second group of rectangular parallelepiped is identical with the height of first group of rectangular parallelepiped with width, and height is identical with the length and the width of first group of rectangular parallelepiped.
For the ease of the taking-up and the placement of the cube and the rectangular parallelepiped of inside, said hollow big cube one side at least is open, it will be appreciated by those skilled in the art that said one side open at least can be one side open, five face closures; Or the two sides is open, and four sides sealing etc. are preferred, said hollow big cube five face closures, one side open.
Through said structure, the activity teaching model of the demonstration of the utility model two numbers and cube formula, be included in two small cubes and 6 rectangular parallelepipeds in the hollow big cube and be movable, can pick and place; It is inner that described small cubes and rectangular parallelepiped are positioned at hollow big cube, and it is inner to fill up big cube just.
For the ease of observing inner structure, to be convenient to pick and place, demonstration two numbers of the utility model and the activity teaching model of cube formula adopt transparent material to process.
Two small cubes and 6 rectangular parallelepipeds in the activity teaching model of the utility model are placed into big cube inside, and it is inner to fill up big cube just.Can the company of checking the volume of a small cubes and 6 rectangular parallelepipeds equal big cubical volume just, promptly verify two numerals and cube formula.
Demonstration two number of the utility model and the activity teaching model of cube formula are formed structure through it, vivid displaying numeral with cube the algebraically notion, can give the student notion intuitively, improve and understand and learning efficiency.
Description of drawings
Fig. 1 a is the hollow big cube synoptic diagram of activity teaching model of demonstration two number and cube formula of the utility model;
Fig. 1 b is a cube synoptic diagram in the hollow big cube of activity teaching model of demonstration two number and cube formula of the utility model;
Fig. 1 c is another cube synoptic diagram in the hollow big cube of activity teaching model of demonstration two number and cube formula of the utility model;
Fig. 1 d is a rectangular parallelepiped synoptic diagram in the hollow big cube of activity teaching model of demonstration two number and cube formula of the utility model;
Fig. 1 e is another rectangular parallelepiped synoptic diagram in the hollow big cube of activity teaching model of demonstration two number and cube formula of the utility model;
Fig. 2 a is the assembled state synoptic diagram of activity teaching model of demonstration two number and cube formula of the utility model;
Fig. 2 b is the inside combination synoptic diagram of activity teaching model of demonstration two number and cube formula of the utility model
Embodiment
Below in conjunction with accompanying drawing and specific embodiment the utility model is further specified, but not as the qualification to the utility model.
In following content,, suppose that the hollow big cubical length of side is a+b for stating conveniently; A small cubes length of side is a; Another small cubes length of side is b; The length of one group of rectangular parallelepiped is respectively a, a, b, totally 3; The length of another group rectangular parallelepiped is respectively b, b, a, totally 3.
Like Fig. 1, shown in 2; Demonstration two numbers of the utility model and the activity teaching model of cube formula; Comprise: a hollow big cube 1 (Fig. 1 a shows its three adjacent faces), its length of side is the length of side sum of two small cubes (21,22) of portion (Fig. 1 b, Fig. 1 c have showed two cubical three faces respectively) within it, also includes 6 rectangular parallelepipeds; 6 rectangular parallelepipeds are divided into two group (31; 32), 3 every group: the length of first group rectangular parallelepiped is identical with a small cubes length of side with width, and height is identical with the length of side of another small cubes; The length of second group of rectangular parallelepiped is identical with the height of first group of rectangular parallelepiped with width, and height is identical with the length and the width of first group of rectangular parallelepiped: Fig. 1 d and Fig. 1 e have showed three faces of two groups of rectangular parallelepipeds (31,32) respectively.
Further, five face closures of hollow big cube 1, a face 4 is open.
Further, cube is that transparent material is processed, and for example can make with organic glass or transparent plastic; Two length of sides are distinguished the sealing small cubes of a and b, process with the material of color of the same race, such as bright yellow; 3 length and width height are respectively the rectangular parallelepiped of a, a, b, process such as blueness with the material of the color that is different from other shapes; 3 length and width height are respectively the rectangular parallelepiped of b, b, a, process such as redness with the material of the color that is different from other shapes.
As shown in Figure 2, during use, with two small cubes 21,22 of the utility model, and 3 rectangular parallelepipeds 31 and 3 rectangular parallelepipeds 32 are positioned over big cube 1 inside, and it is inner to fill completely big cube just.This process verification the volume sum of 21,22 and 3 rectangular parallelepipeds 31 of two small cubes and 3 rectangular parallelepipeds 32 equal big cubical volume, i.e. (a+b) ^3=(a+b) * (a+b) ^2=a^3+b^3+3ab^2+3a^2b.
Those skilled in the art should know, the foregoing description be merely the utility model preferred embodiment, the utility model is not limited in the foregoing description.Spirit still belongs to the protection domain of the utility model to those skilled in the art to its change of carrying out replacement according to the present invention.The protection domain of the utility model is covered by the equivalents of its claim and claim.
Claims (7)
1. an activity teaching model of demonstrating two numbers and cube formula is characterized in that said teaching mode comprises a hollow big cube, comprises 2 small cubes in the said hollow big cube, 6 rectangular parallelepipeds.
2. the activity teaching model of demonstration two numbers according to claim 1 and cube formula is characterized in that the length of side sum that the said hollow big cubical length of side is two small cubes.
3. the activity teaching model of demonstration two numbers according to claim 1 and cube formula is characterized in that said 6 rectangular parallelepipeds are divided into two groups, 3 every group.
4. demonstration according to claim 3 two numbers and the activity teaching model of cube formula, it is characterized in that first group the length of rectangular parallelepiped is identical with a small cubes length of side with width, highly identical with the length of side of another small cubes; The length of second group of rectangular parallelepiped is identical with the height of first group of rectangular parallelepiped with width, and height is identical with the length and the width of first group of rectangular parallelepiped.
5. the activity teaching model of demonstration two numbers according to claim 1 and cube formula is characterized in that said hollow big cube five face closures, one side open.
6. the activity teaching model of demonstration according to claim 1 two numbers and cube formula, it is characterized in that said two small cubes and 6 rectangular parallelepipeds be movable, can pick and place.
7. the activity teaching model of demonstration two numbers according to claim 1 and cube formula, it is inner to it is characterized in that described small cubes and rectangular parallelepiped are positioned at hollow big cube, and it is inner to fill up big cube just.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201120366629XU CN202230642U (en) | 2011-09-29 | 2011-09-29 | Movable teaching model for demonstrating cubic formula of two number sum |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201120366629XU CN202230642U (en) | 2011-09-29 | 2011-09-29 | Movable teaching model for demonstrating cubic formula of two number sum |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN202230642U true CN202230642U (en) | 2012-05-23 |
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| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201120366629XU Expired - Fee Related CN202230642U (en) | 2011-09-29 | 2011-09-29 | Movable teaching model for demonstrating cubic formula of two number sum |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN202230642U (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105096698A (en) * | 2014-05-07 | 2015-11-25 | 林劲松 | Teaching model |
-
2011
- 2011-09-29 CN CN201120366629XU patent/CN202230642U/en not_active Expired - Fee Related
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105096698A (en) * | 2014-05-07 | 2015-11-25 | 林劲松 | Teaching model |
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Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C14 | Grant of patent or utility model | ||
| GR01 | Patent grant | ||
| ASS | Succession or assignment of patent right |
Owner name: BEIJING CHINAEDUSTAR TECHNOLOGY CO., LTD. Free format text: FORMER OWNER: ZHOU JIANYU Effective date: 20130117 |
|
| C41 | Transfer of patent application or patent right or utility model | ||
| TR01 | Transfer of patent right |
Effective date of registration: 20130117 Address after: 100096 No. 3, building 1, No. 1107, ten Street, Haidian District, Beijing Patentee after: Beijing Chinaedustar Technology Co., Ltd. Address before: 100096, Beijing, Xisanqi Haidian District building materials East Road, Fuli Taoyuan C22 building, 1 gate 501 Patentee before: Zhou Jianyu |
|
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20120523 Termination date: 20180929 |
|
| CF01 | Termination of patent right due to non-payment of annual fee |