CN210244769U - Demonstration teaching aid for trapezoidal median theorem - Google Patents
Demonstration teaching aid for trapezoidal median theorem Download PDFInfo
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- CN210244769U CN210244769U CN201920919048.0U CN201920919048U CN210244769U CN 210244769 U CN210244769 U CN 210244769U CN 201920919048 U CN201920919048 U CN 201920919048U CN 210244769 U CN210244769 U CN 210244769U
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Abstract
The utility model discloses a trapezoidal median line theorem demonstration teaching aid belongs to teaching aid technical field. This teaching aid includes quadrilateral frame A and quadrilateral frame B, quadrilateral frame B passes through the connecting piece and can dismantle with quadrilateral frame A and be connected, all be equipped with the median line subassembly on quadrilateral frame B and the quadrilateral frame A, be equipped with the angle measurement subassembly on the quadrilateral frame B. The utility model discloses a quadrilateral frame B and quadrilateral frame A's four sides junction is the rotation connection, and in addition, length adjustable subassembly A and length adjustable subassembly B's length can increase or reduce the quantity of basic module and adjust, so when quadrilateral frame B and quadrilateral frame A are trapezoidal, four trapezoidal interior angle sizes and trapezoidal two end length can be adjusted as required, can evolve and obtain more quantity trapezoidal, demonstrate the conclusion and compare prior art and have more the commonality.
Description
Technical Field
The utility model relates to a trapezoidal median line theorem demonstration teaching aid belongs to teaching aid technical field.
Background
The theorem of the middle line of the trapezoid refers to that the line segment connecting the middle points of the two sides of the trapezoid is called the middle line of the trapezoid, and the middle line of the trapezoid is parallel to the two bases and is equal to half of the sum of the two bases. At present, the method of taking an auxiliary line on a trapezoid is mainly adopted to prove that the median line theorem of the trapezoid is relatively abstract and is not beneficial to students to understand. To this end, chinese patent publication No. CN2235140Y discloses a parallelogram teaching aid, which is composed of a flat plate engraved with a parallelogram groove and a lath engraved with two holes, wherein the flat plate is engraved with a parallelogram groove (ABCD); the lath is nailed to the centre (O) of the parallelogram groove (ABCD) with a mobile screw, the lath rotating around the centre (O). The teaching aid can help students to master the characteristics of the parallelogram, flexibly apply the characteristics of the parallelogram, understand various properties of the parallelogram and solve problems related to the parallelogram. However, the parallelogram grooves are directly engraved on the flat plate, so that the shapes of the parallelogram grooves are fixed, and the number of trapezoids obtained by evolution is small when the teaching aid is used for demonstrating the theorem of the median line of the trapezoids.
SUMMERY OF THE UTILITY MODEL
In order to solve the technical problem, the utility model provides a trapezoidal median line theorem demonstration teaching aid.
The utility model discloses a following technical scheme can realize:
the utility model provides a trapezoidal mesoline theorem demonstration teaching aid, includes quadrilateral frame A and quadrilateral frame B, quadrilateral frame B passes through the connecting piece and can dismantle with quadrilateral frame A and be connected, all be equipped with the mesoline subassembly on quadrilateral frame B and the quadrilateral frame A, be equipped with the angle measurement subassembly on the quadrilateral frame B.
The quadrilateral frame B is formed by sequentially and movably connecting a length-adjustable component A, a connecting plate, a length-adjustable component B and a telescopic component end to end.
The length-adjustable component A comprises a transition module and a plurality of basic modules which are sequentially spliced, and the basic modules are sequentially spliced and then spliced with the transition module.
The length-adjustable component B comprises a transition module and a plurality of base modules which are sequentially spliced, and the plurality of base modules are sequentially spliced and then spliced with the transition module; the length of the length-adjustable component B is not equal to that of the length-adjustable component A.
The telescopic assembly comprises a square pipe and a sliding plate connected with the square pipe in a sliding manner.
The square pipe is provided with a guide rail along the length direction, one end of the guide rail, which is close to the sliding plate, is provided with a threaded hole B, and the threaded hole B is communicated with the square pipe.
The shape, structure and size of the quadrilateral frame A are consistent with those of the quadrilateral frame B.
The middle line component comprises an elastic rope, one end of the elastic rope is connected with a positioning column fixedly arranged at the midpoint of the connecting plate, and the other end of the elastic rope is connected with the guide rail in a sliding manner through a sliding component.
The sliding assembly comprises a sliding block and a fixed column, a sliding groove is formed in the sliding block, a threaded hole A is formed in the bottom of the sliding groove, and the fixed column is connected with the sliding block through a top plate.
The angle measuring assembly is a protractor, the number of the protractors is 3, the first protractor is arranged at one end, close to the length-adjustable assembly A, of the connecting plate, the second protractor is arranged at one end, close to the connecting plate, of the length-adjustable assembly B, and the third protractor is sleeved on the positioning column
The beneficial effects of the utility model reside in that: the four sides of the quadrilateral frame B and the quadrilateral frame A are rotatably connected, in addition, the lengths of the length-adjustable component A and the length-adjustable component B can be adjusted by increasing or reducing the number of the basic modules, so when the quadrilateral frame B and the quadrilateral frame A are trapezoidal, the sizes of four inner angles of the trapezoid and the lengths of two bottoms of the trapezoid can be adjusted as required, more trapezoids can be obtained through evolution, and the demonstration conclusion is more general compared with the prior art. Can cultivate student's hands-on operation ability through this teaching aid, deepen the student to the understanding of trapezoidal median theorem.
Drawings
Fig. 1 is a schematic structural view of the present invention;
fig. 2 is a schematic structural view of the sliding assembly of the present invention;
FIG. 3 is a schematic structural view of the square tube and the guide rail of the present invention;
FIG. 4 is a schematic structural view of the slide board of the present invention;
fig. 5 is a schematic structural diagram of the base module of the present invention;
fig. 6 is a schematic structural diagram of a transition module according to the present invention;
fig. 7 is a schematic structural diagram of the stacked quadrilateral frame a and quadrilateral frame B of the present invention;
fig. 8 is a schematic structural diagram of the quadrilateral frame a of the present invention after being connected with the quadrilateral frame B through the connecting member.
In the figure: 1-length-adjustable component A, 2-angle measuring component, 3-connecting plate, 4-positioning column, 5-elastic rope, 6-length-adjustable component B, 7-sliding component, 70-sliding block, 71-sliding groove, 72-threaded hole A, 73-top plate, 74-fixing column, 8-square tube, 80-guide rail, 81-threaded hole B, 9-connecting piece, 10-sliding plate, 11-basic module, 110-blind hole A, 111-boss, 12-transition module and 120-blind hole B.
Detailed Description
The technical solution of the present invention is further described below, but the scope of the claimed invention is not limited to the described.
As shown in figures 1 to 8, a trapezoidal mesoline theorem demonstration teaching aid, including quadrilateral frame A and quadrilateral frame B, quadrilateral frame B pegs graft with quadrilateral frame A through connecting piece 9, all install the mesoline subassembly on quadrilateral frame B and the quadrilateral frame A, install angle measurement subassembly 2 on the quadrilateral frame B.
The quadrilateral frame B is formed by sequentially connecting a length-adjustable component A1, a connecting plate 3, a length-adjustable component B6 and a telescopic component in an end-to-end rotating manner. The sizes of four inner angles of the quadrangular frame B can be adjusted.
The adjustable-length assembly A1 comprises a transition module 12 and a plurality of base modules 11 which are sequentially spliced, wherein the plurality of base modules 11 are sequentially spliced and then spliced with the transition module 12. When in use, the basic module 11 is a cuboid, one end of the cuboid is processed with a square blind hole A110, the other end is integrally formed with a square boss 111, and the boss 111 and the blind hole A110 have the same shape and size; the transition module 12 is a cuboid, one end of the cuboid is processed with a blind hole B120, and the shape and size of the blind hole B120 are consistent with those of the square boss 111. The end of the transition module 12 far away from the base module 11 is rotatably connected with the connecting plate 3. The length of the adjustable-length component A1 can be adjusted by increasing or decreasing the number of the basic modules 11.
The length-adjustable component B6 comprises a transition module 12 and a plurality of base modules 11 which are sequentially spliced, wherein the plurality of base modules 11 are sequentially spliced and then spliced with the transition module 12; the length adjustable assembly B6 is not equal to the length of the length adjustable assembly a 1. The length of the adjustable-length component B6 can be adjusted by increasing or decreasing the number of the basic modules 11. The lengths of the two bottoms of the trapezoid are not equal, and the lengths of the length-adjustable component B6 and the length-adjustable component A1 are not equal, so that when the quadrilateral frame B is adjusted to be a trapezoid, the length-adjustable component B6 and the length-adjustable component A1 can be used as the bottom side of the trapezoid.
The telescopic assembly comprises a square pipe 8 and a sliding plate 10 connected with the square pipe 8 in a sliding manner.
The square tube 8 is provided with a guide rail 80 along the length direction, one end of the guide rail 80 close to the sliding plate 10 is provided with a threaded hole B81, and the threaded hole B81 is communicated with the square tube 8. When the telescopic assembly is used, the bolt is installed at the position of the threaded hole B81, and the relative position of the sliding plate 10 and the square pipe 8 can be fixed by tightening the bolt, so that the length of the telescopic assembly is kept unchanged.
The shape, structure and size of the quadrilateral frame A are consistent with those of the quadrilateral frame B.
The middle line component comprises an elastic rope 5, one end of the elastic rope 5 is connected with a positioning column 4 fixedly installed at the midpoint of the connecting plate 3, and the other end of the elastic rope is connected with the guide rail 80 in a sliding mode through a sliding component 7.
The sliding assembly 7 comprises a sliding block 70 and a fixed column 74, a sliding groove 71 is processed on the sliding block 70, a threaded hole A72 is processed at the bottom of the sliding groove 71, and the fixed column 74 is connected with the sliding block 70 through a top plate 73. The cross section shape and size of the sliding groove 71 are matched with the cross section shape and size of the guide rail 80, and the sliding assembly 7 can freely slide on the guide rail 80. The threaded hole A72 is provided with a bolt, so that the sliding assembly 7 can be conveniently fixed on the guide rail 80 through the bolt.
The angle measuring assembly 2 is a protractor, the number of the protractors is 3, the first protractor is arranged at one end, close to the connecting plate 3, of the length adjustable assembly A1, the second protractor is arranged at one end, close to the length adjustable assembly B6, of the connecting plate 3, and the third protractor is sleeved on the positioning column 4.
Specifically, tape measures for measuring the midpoint of the telescopic assembly are mounted on the quadrilateral frame A and the quadrilateral frame B.
A trapezoidal median line theorem demonstration teaching aid, its principle or demonstration process are as follows:
the method comprises the following steps: the quadrangular frame B is adjusted to be trapezoidal. The included angle between the length-adjustable component B6 and the connecting plate 3 can be read through a protractor, the size of the included angle between the length-adjustable component A1 and the connecting plate 3 is adjusted by referring to the protractor arranged on the length-adjustable component A1, the included angle is complementary with the included angle between the length-adjustable component B6 and the connecting plate 3, the bolt is screwed down, the relative position of the sliding plate 10 and the square pipe 8 is fixed, and the quadrilateral frame B is trapezoidal.
Step two: the position of the sliding component 7 is adjusted to make the elastic rope 5 be the median line of the quadrilateral frame B. Referring to the values on the tape measure, the glide assembly 7 is moved to the midpoint of the telescoping assembly and the bolt is tightened to secure the glide assembly 7 to the rail 80.
Step three: the shape of the quadrangular frame A is adjusted so that the elastic string 5 is a median line of the quadrangular frame A. As shown in fig. 7, the quadrangular frame a is placed on the quadrangular frame B so that the shape and size thereof are matched with those of the quadrangular frame B, and the slide plate 10 is fixed relative to the square pipe 8 by tightening bolts. Referring to the value of the tape measure on the quadrilateral frame A, the glide assembly 7 is moved to the midpoint of the telescoping assembly, and the bolt is tightened to secure the glide assembly 7 to the rail 80.
Step four: as shown in fig. 8, the quadrilateral frame B is inserted into the quadrilateral frame a through the connecting piece 9 to form a parallelogram, and the center line of the elastic rope 5 installed on the quadrilateral frame a coincides with the center line of the elastic rope 5 installed on the quadrilateral frame B, so that the two elastic ropes 5 form the median line of the parallelogram.
In summary, the demonstration conclusions are as follows:
first, the median line of the ladder is parallel to the two bases of the ladder.
As shown in fig. 8, the protractor sleeved on the positioning post 4 is rotated to overlap the zero-scribed line with the elastic rope 5, and at this time, the included angle between the elastic rope 5 and the connecting plate 3 read from the protractor is equal to the included angle between the length-adjustable component B6 and the connecting plate 3 read from another protractor, so that the elastic rope 5 is parallel to the length-adjustable component B6 and parallel to the length-adjustable component a1 parallel to the length-adjustable component B6, that is, the median line of the trapezoid is parallel to the two bottoms of the trapezoid.
Second, the median length of the ladder is equal to half of the sum of the two bases.
As shown in fig. 8, the length of the center line of the trapezoid (length of the elastic string 5 attached to the quadrangular frame a) ÷ length of the elastic string 5 attached to the quadrangular frame B ÷ length of the parallelogram center line ÷ 2 ÷ (length of the length-adjustable element a1 + length of the length-adjustable element B6) ÷ 2.
In summary, the four sides of the quadrilateral frame B and the quadrilateral frame a are rotatably connected, and in addition, the lengths of the length-adjustable component a1 and the length-adjustable component B6 can be adjusted by increasing or decreasing the number of the base modules 11, so when the quadrilateral frame B and the quadrilateral frame a are trapezoidal, the sizes of the four inner angles of the trapezoid and the lengths of the two bottoms of the trapezoid can be adjusted as required, a larger number of trapezoids can be obtained through evolution, and the demonstration conclusion is more general than that in the prior art. Can cultivate student's hands-on operation ability through this teaching aid, deepen the student to the understanding of trapezoidal median theorem.
Claims (10)
1. The utility model provides a trapezoidal median line theorem demonstration teaching aid which characterized in that: including quadrilateral frame A and quadrilateral frame B, quadrilateral frame B passes through connecting piece (9) and can dismantle with quadrilateral frame A and be connected, all be equipped with the median line subassembly on quadrilateral frame B and the quadrilateral frame A, be equipped with angle measurement subassembly (2) on the quadrilateral frame B.
2. The demonstration teaching aid of the trapezoidal median line theorem of claim 1, wherein: the quadrilateral frame B is formed by sequentially and movably connecting a length-adjustable component A (1), a connecting plate (3), a length-adjustable component B (6) and a telescopic component end to end.
3. The demonstration teaching aid of the trapezoidal median line theorem of claim 2, wherein: the adjustable-length assembly A (1) comprises a transition module (12) and a plurality of base modules (11) which are sequentially spliced, and the plurality of base modules (11) are sequentially spliced and then spliced with the transition module (12).
4. The demonstration teaching aid of the trapezoidal median line theorem of claim 2, wherein: the length-adjustable component B (6) comprises a transition module (12) and a plurality of base modules (11) which are sequentially spliced, and the plurality of base modules (11) are sequentially spliced and then spliced with the transition module (12); the length of the length-adjustable component B (6) is not equal to that of the length-adjustable component A (1).
5. The demonstration teaching aid of the trapezoidal median line theorem of claim 2, wherein: the telescopic assembly comprises a square pipe (8) and a sliding plate (10) which is connected with the square pipe (8) in a sliding manner.
6. The demonstration teaching aid of the trapezoidal median line theorem of claim 5, wherein: the square tube (8) is provided with a guide rail (80) along the length direction, one end of the guide rail (80) close to the sliding plate (10) is provided with a threaded hole B (81), and the threaded hole B (81) is communicated with the square tube (8).
7. The demonstration teaching aid of the trapezoidal median line theorem of claim 1, wherein: the shape, structure and size of the quadrilateral frame A are consistent with those of the quadrilateral frame B.
8. The demonstration teaching aid of the trapezoidal median line theorem of claim 1, wherein: the middle line component comprises an elastic rope (5), one end of the elastic rope (5) is connected with a positioning column (4) fixedly installed at the midpoint of the connecting plate (3), and the other end of the elastic rope is connected with the guide rail (80) in a sliding mode through a sliding component (7).
9. The demonstration teaching aid of the trapezoidal median line theorem of claim 8, wherein: the sliding assembly (7) comprises a sliding block (70) and a fixing column (74), a sliding groove (71) is formed in the sliding block (70), a threaded hole A (72) is formed in the bottom of the sliding groove (71), and the fixing column (74) is connected with the sliding block (70) through a top plate (73).
10. The demonstration teaching aid of the trapezoidal median line theorem of claim 1, wherein: the angle measuring assembly (2) is a protractor, the number of the protractors is 3, the first protractor is installed at one end, close to the length-adjustable assembly A (1), of the connecting plate (3), the second protractor is installed at one end, close to the connecting plate (3), of the length-adjustable assembly B (6), and the third protractor is sleeved on the positioning column (4).
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201920919048.0U CN210244769U (en) | 2019-06-18 | 2019-06-18 | Demonstration teaching aid for trapezoidal median theorem |
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201920919048.0U CN210244769U (en) | 2019-06-18 | 2019-06-18 | Demonstration teaching aid for trapezoidal median theorem |
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| Publication Number | Publication Date |
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| CN210244769U true CN210244769U (en) | 2020-04-03 |
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| CN201920919048.0U Active CN210244769U (en) | 2019-06-18 | 2019-06-18 | Demonstration teaching aid for trapezoidal median theorem |
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