CN215868318U - Pythagorean theorem combined demonstration board - Google Patents
Pythagorean theorem combined demonstration board Download PDFInfo
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- CN215868318U CN215868318U CN202121994991.1U CN202121994991U CN215868318U CN 215868318 U CN215868318 U CN 215868318U CN 202121994991 U CN202121994991 U CN 202121994991U CN 215868318 U CN215868318 U CN 215868318U
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- 238000012067 mathematical method Methods 0.000 abstract description 4
- 238000000034 method Methods 0.000 abstract description 3
- 230000001149 cognitive effect Effects 0.000 abstract description 2
- 230000000694 effects Effects 0.000 abstract description 2
- 239000002131 composite material Substances 0.000 description 6
- 238000010586 diagram Methods 0.000 description 4
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000009795 derivation Methods 0.000 description 1
- 239000000463 material Substances 0.000 description 1
- 239000000203 mixture Substances 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
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Abstract
The utility model discloses a pythagorean theorem combined demonstration board, which relates to the field of teaching aids and comprises a first rectangular board, a second rectangular board and a third rectangular board, wherein the first rectangular board comprises a first trapezoidal board, second triangular boards are arranged above and on one side of the first trapezoidal board, and a first triangular board is arranged on one side of the first trapezoidal board and above the second triangular board. On the basis of the demonstration of the traditional butterfly seven-piece puzzle in China, the utility model adds the combination of two right-angled triangles, enables students to collaborate and independently explore, and independently discovers that different right-angled triangles have a rule through moving the puzzle: the sum of the squares of the two right-angle sides is exactly equal to the square of the hypotenuse, and the universality is deduced by a mathematical method, so that the interest of students in learning can be stimulated, the students can teach through lively activities, the cognitive rules of the students are also met, and the students can realize that the process of scientific research is often deduced or proved to be the universality from the particularity of things.
Description
Technical Field
The utility model relates to the field of teaching aids, in particular to a pythagorean theorem combined demonstration board.
Background
In the prior traditional mathematical teaching, most teachers show corresponding graphs firstly and then use a mathematical method for derivation so as to prove the Pythagorean theorem; in addition, a teacher also utilizes the traditional butterfly seven-piece puzzle in China to prove, but the corresponding right-angled triangle is just an isosceles right-angled triangle (the ratio of two right-angled sides is 1: 1), and certain particularity exists.
SUMMERY OF THE UTILITY MODEL
Based on the above, the utility model aims to provide a combined demonstration board for Pythagorean theorem, so as to solve the problem that most teachers firstly show corresponding graphs and then deduce the graphs by a mathematical method in the conventional mathematical teaching, so as to prove the Pythagorean theorem; in addition, a teacher also utilizes the traditional butterfly-type seven-piece puzzle in China to prove, but the right-angled triangle corresponding to the Chinese butterfly-type seven-piece puzzle is just an isosceles right-angled triangle and has a certain special technical problem.
In order to achieve the purpose, the utility model provides the following technical scheme: the demonstration board for the pythagorean theorem combination comprises a first rectangular board, a second rectangular board and a third rectangular board, wherein the first rectangular board comprises a first trapezoidal board, a second triangular board is arranged above and on one side of the first trapezoidal board, a first triangular board is arranged on one side of the first trapezoidal board and above the second triangular board, a second trapezoidal board is arranged above the first trapezoidal board and between the first triangular board and the second triangular board, the second rectangular board comprises four groups of combined boards, a first square board is arranged between the four groups of combined boards, the third rectangular board comprises a first splicing board, a second square board is arranged above the first splicing board, a right-angled trapezoidal board is arranged below one side of the first splicing board, a right-angled trapezoidal board is arranged on one side of the first splicing board, an isosceles trapezoidal board is arranged on one side of the first splicing board and one side of the second splicing board, and one side of the isosceles trapezoid plate, which is far away from the first splicing plate, is provided with an isosceles triangle plate.
By adopting the technical scheme.
The utility model is further arranged such that the first, second and third rectangular plates are of the same area.
By adopting the technical scheme, the method has the advantages that,
in summary, the utility model mainly has the following beneficial effects:
according to the utility model, through the arrangement of the first rectangular plate, the second rectangular plate and the third rectangular plate, on the basis of the demonstration of the traditional butterfly seven-piece puzzle in China, the combination of two right-angled triangles (such as the ratio of two right-angled edges is 1: 2, 1: 2.8284 and the like) is added, so that students can collaborate and independently explore the combination, and through moving the puzzle, the users can independently discover that different right-angled triangles all have a rule: the sum of the squares of the two right-angle sides is exactly equal to the square of the hypotenuse, and the universality is deduced by a mathematical method, so that the interest of students in learning can be stimulated, the students can teach through lively activities, the cognitive rules of the students are also met, and the students can realize that the process of scientific research is often deduced or proved to be the universality from the particularity of things.
Drawings
FIG. 1 is a schematic diagram of a first rectangular plate structure according to the present invention;
FIG. 2 is a schematic diagram of a second rectangular plate structure according to the present invention;
FIG. 3 is a schematic diagram of a third rectangular plate structure according to the present invention;
FIG. 4 is a schematic combination of embodiment 1 of the present invention;
FIG. 5 is a combination of embodiment 2 of the present invention;
FIG. 6 is a combination diagram of embodiment 3 of the present invention.
In the figure: 1. a first rectangular plate; 101. a first trapezoidal plate; 102. a first set square; 103. a second trapezoidal plate; 104. a second set square; 2. a second rectangular plate; 201. a composition board; 202. a first square plate; 3. a third rectangular plate; 301. a first splice plate; 302. a second splice plate; 303. a right-angled trapezoidal plate; 304. a second square plate; 305. an isosceles trapezoidal plate; 306. an isosceles triangle.
Detailed Description
The technical solution in 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. The embodiments described below with reference to the accompanying drawings are illustrative only for the purpose of explaining the present invention, and are not to be construed as limiting the present invention.
The following describes an embodiment of the present invention based on its overall structure.
Example 1, a pythagorean theorem demonstrating board, as shown in fig. 1 and 4, includes a first rectangular board 1, a second rectangular board 2 and a third rectangular board 3, the first rectangular board 1 includes a first trapezoidal board 101, a second triangular board 104 is disposed above and on one side of the first trapezoidal board 101, a first triangular board 102 is disposed above the second triangular board 104 on one side of the first trapezoidal board 101, a second trapezoidal board 103 is disposed above the first trapezoidal board 101 and between the first triangular board 102 and the second triangular board 104, the second rectangular board 2 includes four groups of composite boards 201, a first square board 202 is disposed between the four groups of composite boards 201, the third rectangular board 3 includes a first splice board 301, a second square board 304 is disposed above the first splice board 301, a right-angled trapezoidal board 303 is disposed below one side of the first splice board 301, a right-angled trapezoidal board 303 is disposed on one side of the first splice board 301, one side of first splice plate 301 and second splice plate 302 is provided with isosceles trapezoid board 305, and one side that isosceles trapezoid board 305 kept away from first splice plate 301 is provided with isosceles triangle board 306, first rectangular board 1, second rectangular board 2 and third rectangular board 3 area are the same, constitute the square with second trapezoidal board 103 and second triangle board 104 and place in square A department, place first trapezoidal board 101, first triangle board 102 and second triangle board 104 in square B department, place first rectangular board 1 in square C department again, make it just in time fill up completely, what relation has according to square C's area and square A, B's area to can draw the conclusion.
Example 2, the demonstration board for pythagorean theorem combination, as shown in fig. 2 and 5, includes a first rectangular board 1, a second rectangular board 2 and a third rectangular board 3, the first rectangular board 1 includes a first trapezoidal board 101, a second triangular board 104 is disposed above and on one side of the first trapezoidal board 101, a first triangular board 102 is disposed above the second triangular board 104 on one side of the first trapezoidal board 101, a second trapezoidal board 103 is disposed above the first trapezoidal board 101 and between the first triangular board 102 and the second triangular board 104, the second rectangular board 2 includes four groups of composite boards 201, a first square board 202 is disposed between the four groups of composite boards 201, the third rectangular board 3 includes a first splice board 301, a second square board 304 is disposed above the first splice board 301, a right-angled trapezoidal board 303 is disposed below one side of the first splice board 301, a right-angled trapezoidal board 303 is disposed on one side of the first splice board 301, one side of first splice plate 301 and second splice plate 302 is provided with isosceles trapezoid board 305, and one side that first splice plate 301 was kept away from to isosceles trapezoid board 305 is provided with isosceles triangle board 306, places first square board 202 in second rectangular board 2 in square first department, places four groups of compoboards 201 in square second department, places second rectangular board 2 in square third department, what relation has according to square third's area and square first, second's area to can draw the conclusion.
Example 3, a pythagorean theorem demonstrating board, as shown in fig. 3 and 6, includes a first rectangular board 1, a second rectangular board 2, and a third rectangular board 3, the first rectangular board 1 includes a first trapezoidal board 101, a second triangular board 104 is disposed above and on one side of the first trapezoidal board 101, a first triangular board 102 is disposed above the second triangular board 104 on one side of the first trapezoidal board 101, a second trapezoidal board 103 is disposed between the first triangular board 102 and the second triangular board 104 on the top of the first trapezoidal board 101, the second rectangular board 2 includes four groups of composite boards 201, a first square board 202 is disposed between the four groups of composite boards 201, the third rectangular board 3 includes a first splice board 301, a second square board 304 is disposed above the first splice board 301, a right-angled trapezoidal board 303 is disposed below one side of the first splice board 301, a right-angled trapezoidal board 303 is disposed on one side of the first splice board 301, one side of first splice plate 301 and second splice plate 302 is provided with isosceles trapezoid board 305, and one side that first splice plate 301 was kept away from to isosceles trapezoid board 305 is provided with isosceles triangle board 306, place second square board 304 in square first department, place first splice plate 301, second splice plate 302, right angle trapezoid board 303, isosceles trapezoid board 305 and isosceles triangle board 306 in square second department, place third rectangular board 3 in square third department, what relation has according to square third's area and square first, second's area, thereby can draw the conclusion.
Although embodiments of the present invention have been shown and described, the present embodiments are merely illustrative of the present invention and are not intended to limit the present invention, and the described specific features, structures, materials or characteristics may be combined in any suitable manner in any one or more embodiments or examples, and those skilled in the art can make modifications, substitutions, variations, etc. of the embodiments as required without departing from the principle and spirit of the present invention, but within the scope of the claims of the present invention.
Claims (2)
1. Pythagorean theorem combination demonstration board, including first rectangular plate (1), second rectangular plate (2) and third rectangular plate (3), its characterized in that: the first rectangular plate (1) comprises a first trapezoidal plate (101), a second triangular plate (104) is arranged above and on one side of the first trapezoidal plate (101), a first triangular plate (102) is arranged above the second triangular plate (104) on one side of the first trapezoidal plate (101), a second trapezoidal plate (103) is arranged above the first trapezoidal plate (101) and between the first triangular plate (102) and the second triangular plate (104), the second rectangular plate (2) comprises four groups of combined plates (201), a first square plate (202) is arranged between the four groups of combined plates (201), the third rectangular plate (3) comprises a first splicing plate (301), a second square plate (304) is arranged above the first splicing plate (301), a right-angle trapezoidal plate (303) is arranged below one side of the first splicing plate (301), a right-angle trapezoidal plate (303) is arranged on one side of the first splicing plate (301), one side of the first splicing plate (301) and the second splicing plate (302) is provided with an isosceles trapezoid plate (305), and one side of the isosceles trapezoid plate (305) far away from the first splicing plate (301) is provided with an isosceles triangle plate (306).
2. The pythagorean theorem combined demonstration board according to claim 1, characterized in that: the first rectangular plate (1), the second rectangular plate (2) and the third rectangular plate (3) are the same in area.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202121994991.1U CN215868318U (en) | 2021-08-19 | 2021-08-19 | Pythagorean theorem combined demonstration board |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202121994991.1U CN215868318U (en) | 2021-08-19 | 2021-08-19 | Pythagorean theorem combined demonstration board |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN215868318U true CN215868318U (en) | 2022-02-18 |
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Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202121994991.1U Expired - Fee Related CN215868318U (en) | 2021-08-19 | 2021-08-19 | Pythagorean theorem combined demonstration board |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN215868318U (en) |
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2021
- 2021-08-19 CN CN202121994991.1U patent/CN215868318U/en not_active Expired - Fee Related
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| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20220218 |
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| CF01 | Termination of patent right due to non-payment of annual fee |