CN214796415U - Geometric figure demonstrator based on triangular transformation - Google Patents

Abstract

The utility model discloses a geometric figure demonstration ware based on triangle transform, including erecting chi, middle perpendicular to and can following the upper and lower gliding transverse ruler of erecting the chi, the both ends symmetry of transverse ruler is provided with the tape measure box, be provided with the tape measure in the tape measure box, the zero graduation end of tape measure is fixed with the middle part of the fixed plate at perpendicular chi top, be provided with two slip cardboards that can gliding be used for changing tape measure and transverse ruler point position on the transverse ruler two form a changeable triangle-shaped structure between the extension of tape measure and the transverse ruler, a teaching aid can carry out multiple content teaching, resources are saved more, and can more vivid demonstration, and it is more convenient to use, and the result of use is better.

Description

Geometric figure demonstrator based on triangular transformation

Technical Field

The utility model relates to a teaching aid, concretely relates to geometric figure demonstration ware based on triangle transform.

Background

The triangle is a course which must be crossed in mathematical education, and a lot of things need to be said about the triangle, such as the shape of the acute angle triangle, the right angle triangle and the obtuse angle triangle, the characteristic of the isosceles triangle, the relation between three angles and degrees of the triangle, the characteristic of the equilateral triangle, the pythagorean theorem of the right angle triangle, the characteristic of the perpendicular bisector, the triangle median line theorem and the inverse theorem thereof, the relevant characteristics of the triangle and the circle, the relevant characteristics of a coordinate system and the like.

SUMMERY OF THE UTILITY MODEL

In order to solve the above problem, the utility model adopts the following technical scheme:

a geometric figure demonstrator based on triangular transformation comprises a vertical ruler and a transverse ruler, wherein the middle of the transverse ruler is perpendicular to the vertical ruler and can slide up and down along the vertical ruler, two ends of the transverse ruler are symmetrically provided with a ruler box, a measuring tape is arranged in the ruler box, the zero-scale end of the measuring tape is fixed to the middle of a fixing plate at the top of the vertical ruler, the transverse ruler is provided with two sliding clamping plates which can slide and are used for changing the intersection point position of the measuring tape and the transverse ruler, a variable triangular structure is formed between the extending parts of the two measuring tapes and the transverse ruler, the intersection point of the extending parts of the two measuring tapes is a vertex of the triangular structure, and the vertical ruler is high in the triangular structure which is perpendicular to the transverse ruler and starts from the vertex.

As further illustration, the vertical ruler, the horizontal ruler, the tape measure box, the fixing plate and the sliding clamping plate are manufactured by 3D printing, so that the manufacturing is more convenient, and the size precision can be better ensured.

As further explained, the vertex corresponds to the zero graduation line of the vertical ruler, which is beneficial to better and rapidly reading the height of the triangle.

As a further description, the back of the horizontal ruler is provided with a sliding groove clamping plate corresponding to the vertical ruler, and the sliding groove clamping plate is provided with a fastening screw for fastening the vertical ruler, so that the horizontal ruler can move up and down along the vertical ruler better and can be fastened through the fastening screw.

As a further illustration, the width of the fixing plate is the same as that of the vertical ruler, so that the tape measure can form a lining-type vertex intersection better.

As a further description, tape measure box bins corresponding to the tape measure boxes are formed at two ends of the transverse ruler, and through holes corresponding to tape measure outlet holes in the tape measure boxes are formed in the tape measure box bins, so that the tape measure boxes can be fixed more conveniently.

As a further description, the upper surface and the back surface of the horizontal ruler are provided with sliding grooves corresponding to the sliding clamping plates, the tape measure extends out of the sliding groove, and the sliding clamping plates are arranged outside the intersection point of the tape measure and the sliding groove, so that the sliding clamping plates can be moved better, the intersection point position of the tape measure and the horizontal ruler can be adjusted better, and the shape of the triangular structure can be adjusted better.

As a further explanation, the vertical ruler and the horizontal ruler are fixed by two plug-in type sections, so that the vertical ruler and the horizontal ruler are convenient to disassemble and store.

Compared with the prior art, the utility model, have following advantage:

the utility model discloses simple structure, demonstration acute angle that can be fine, the right angle, what is roughly what is the shape of obtuse triangle, isosceles triangle's characteristic, the relation between the three angle degrees of triangle, equilateral triangle's characteristic, right angled triangle's the pythagorean theorem, the characteristic of perpendicular bisector, triangle-shaped median line theorem and contrary theorem, triangle-shaped and the relevant characteristic of circle, relevant teaching content such as relevant characteristic of coordinate system, a teaching aid can carry out multiple content teaching, resources are saved more, and demonstration that can be more lively, it is more convenient to use, excellent in use effect.

Drawings

Fig. 1 is an overall schematic view of the present invention.

Fig. 2 is a schematic top view of the cross bar of the present invention.

Fig. 3 is a schematic view of the back structure of the horizontal ruler of the present invention.

Fig. 4 is a schematic diagram illustrating three triangle states according to embodiment 1 of the present invention.

Fig. 5 is a schematic diagram illustrating characteristics of an isosceles triangle according to embodiment 2 of the present invention.

Fig. 6 is a schematic diagram illustrating a relationship between three angles of a triangle according to embodiment 3 of the present invention.

Fig. 7 is a schematic diagram illustrating characteristics of an equilateral triangle according to embodiment 4 of the present invention.

Fig. 8 is a schematic diagram illustrating the right triangle pythagorean theorem according to embodiment 5 of the present invention.

Fig. 9 is a schematic diagram illustrating characteristics of the perpendicular bisector in example 6 of the present invention.

Fig. 10 is a schematic diagram illustrating the median line theorem and the inverse theorem according to embodiment 7 of the present invention.

Fig. 11 is an explanatory view of the similar triangle characteristic of embodiment 8 of the present invention.

Fig. 12 is a schematic diagram illustrating a triangle and an inscribed circle according to example 9 of the present invention.

Fig. 13 is a schematic diagram illustrating a coordinate system according to embodiment 10 of the present invention.

Detailed Description

The technical solution of the present invention will be described clearly and completely with reference to the accompanying drawings, and obviously, the described embodiments are some, but not all embodiments of the present invention. Based on the embodiments in the present invention, all other embodiments obtained by a person skilled in the art without creative work belong to the protection scope of the present invention.

As shown in fig. 1-3, the utility model provides a geometric figure demonstration ware based on triangle-shaped transform, including vertical ruler 1, middle perpendicular to vertical ruler 1 and can follow vertical ruler 1 gliding horizontal ruler 2 from top to bottom, the both ends symmetry of horizontal ruler 2 is provided with tape measure box 3, be provided with tape measure 4 in the tape measure box 3, the zero graduation end of tape measure 4 is fixed with the middle part of the fixed plate 5 at vertical ruler 1 top, be provided with two slip cardboard 6 that can gliding be used for changing tape measure 4 and the crossing point position of horizontal ruler 2 on the horizontal ruler 2, two form a variable triangle-shaped structure between the extension of tape measure 4 and horizontal ruler 2, two the crossing point of the extension of tape measure 4 is a summit of triangle-shaped structure, vertical ruler 1 forms the height with horizontal ruler 2 vertically triangle-shaped structure from this summit. Erect chi 1, horizontal chi 2, tape measure box 3, fixed plate 5, slip cardboard 6 and adopt 3D to print the preparation, it is more convenient to make, assurance size precision that can be better. The vertex corresponds to the zero scale mark of the vertical ruler 1, which is beneficial to better and fast reading the height of the triangle, and the zero scale mark of the horizontal ruler 2 is arranged at the middle point position intersected with the vertical ruler. The back of the transverse ruler 2 is provided with a sliding groove clamping plate 201 corresponding to the vertical ruler 1, and the sliding groove clamping plate 201 is provided with a fastening screw 202 used for fastening the vertical ruler 1, so that the transverse ruler can better move up and down along the vertical ruler and can be fastened through the fastening screw. The width of the fixing plate 5 is the same as that of the vertical ruler 1, so that the lining type vertex intersection of the tape measure can be better realized. The tape measure box bin 203 corresponding to the tape measure box 3 is formed at two ends of the transverse ruler 2, and the tape measure box bin 203 is provided with a through hole corresponding to a tape measure outlet hole in the tape measure box 3, so that the tape measure box can be fixed conveniently and better. The sliding grooves 204 corresponding to the sliding clamping plates 6 are formed in the upper surface and the back surface of the transverse ruler 2, the tape measure extends out of the sliding grooves 204, and the sliding clamping plates 6 are arranged on the outer sides of intersection points of the tape measure and the sliding grooves 204, so that the sliding clamping plates can be moved better, the intersection points of the tape measure and the transverse ruler can be adjusted better, and the shape of a triangular structure can be adjusted better. The vertical ruler 1 and the horizontal ruler 2 are fixed by two sections in a plug-in mode, and are convenient to detach and store.

Example 1: as shown in fig. 4, this embodiment is used for demonstrating acute angle, obtuse angle, right triangle, through removing the position of slip cardboard and horizontal ruler on vertical ruler, can obtain acute angle, obtuse angle, right triangle as shown in the figure, because all there is the scale on tape measure and the horizontal ruler, the length on the three limit of triangle-shaped also can directly be derived.

Example 2: as shown in fig. 5, this example demonstrates the characteristic of isosceles triangle, through removing the position of slip cardboard and horizontal ruler on erecting the chi, can obtain the isosceles triangle as shown in the figure, can know through the tape measure scale that two length of side of isosceles triangle are equal, hang the protractor at the three summit of triangle-shaped, can obtain isosceles triangle's interior angle relation, and two base angles are equal, and equally divide bottom horizontal ruler through erecting the chi, can obtain, isosceles triangle's height equally divides the base.

Example 3: as shown in fig. 6, in this example, the triangular inner angle relationship is demonstrated, the protractor is hung on the top ends of the sliding clamping plate and the vertical ruler, when the sliding clamping plate is moved to change the triangle, the three inner angle degrees can be observed at any time, the triangular inner angle sum is 180 degrees, and the outer angle is equal to the sum of two non-adjacent inner angles.

Example 4: as shown in fig. 7, this embodiment demonstrates the characteristics of an equilateral triangle, and moves two sliding clamping plates to the symmetrical positions of the axes, reads the distance between the two sliding clamping plates, and moves the horizontal ruler on the vertical ruler, so that the distance between the two tape measures is equal to the distance between the two sliding clamping plates, and three sides of the equilateral triangle are equal, and three inner angles measured by the protractor are all 60 degrees.

Example 5: as shown in fig. 8, this example demonstrates the right triangle pythagorean theorem, moves two sliding clamping plates to make the distance between them 5 cm, then moves the vertical ruler to make one of the tape measure extending distances 4 cm and one of them 3 cm, and uses the protractor to measure the vertex angle 90 degrees, and also can verify the formula of pythagorean, and the sum of the squares of two right-angle sides is equal to the square of the hypotenuse.

Example 6: as shown in fig. 9, this example demonstrates the characteristics of the perpendicular bisector of the line segment, and moves the two sliding clamping plates to keep the two sliding clamping plates symmetrical with respect to the vertical ruler, and moves the horizontal ruler on the vertical ruler, the sliding clamping plates remain stationary, the readings of the two measuring tapes are always the same, and the distances from any point on the perpendicular bisector to the two ends of the line segment are verified to be equal.

Example 7: as shown in fig. 10, this embodiment demonstrates the triangle median theorem and the inverse theorem thereof, a triangle is first made, the additional ruler is placed in the sliding slot at the upper part of the horizontal ruler, so that the additional ruler intersects at the middle points of two sides of the triangle, namely, the middle point of the horizontal ruler and the middle point of one measuring ruler side, the length of the additional ruler between the two middle points is obtained, and the additional ruler is moved to the third side, so that the length of the additional ruler is half of the length of the third side, thereby verifying the triangle median theorem.

Example 8: as shown in fig. 11, this example demonstrates the characteristics of a similar triangle, a triangle is made first, the additional ruler is placed in the sliding groove at the upper part of the transverse ruler, so that the additional ruler intersects with the two sides of the triangle and is parallel to the third side, a small triangle similar to the large triangle is formed, and the proportion of the three sides is verified to be equal through the side length.

Example 9: as shown in fig. 12, this example demonstrates the relationship between a triangle and an inscribed circle, and a triangle is first made, then a circle inscribed therein is made, and the relationship between the circle and the triangle is observed.

Example 10: as shown in fig. 13, the present example demonstrates a coordinate system, using a horizontal ruler as an X axis and a vertical ruler as a Y axis, to obtain a coordinate system, and study a geometric rule under the coordinate system.

Claims (8)

1. A geometric figure demonstrator based on triangular transformation is characterized by comprising a vertical ruler (1) and a transverse ruler (2) which is perpendicular to the vertical ruler (1) in the middle and can slide up and down along the vertical ruler (1), the two ends of the transverse ruler (2) are symmetrically provided with the ruler box (3), the ruler box (3) is internally provided with the measuring tape (4), the zero-scale end of the measuring tape (4) is fixed with the middle part of the fixing plate (5) at the top of the vertical ruler (1), the transverse ruler (2) is provided with two sliding clamping plates (6) which can slide and are used for changing the intersection point position of the measuring tape (4) and the transverse ruler (2), a variable triangular structure is formed between the extending parts of the two measuring tapes (4) and the transverse ruler (2), the intersection point of the extending parts of the two measuring tapes (4) is used as a vertex of the triangular structure, the vertical ruler (1) forms the height of a triangular structure which is perpendicular to the transverse ruler (2) and starts from the vertex.

2. The geometry demonstrator based on triangle transformation as claimed in claim 1, wherein said vertical ruler (1), horizontal ruler (2), tape box (3), fixing plate (5), sliding card (6) are made by 3D printing.

3. A geometry demonstrator based on triangular transformation according to claim 2, characterized by the fact that said vertices correspond to the zero graduation of the vertical ruler (1).

4. The geometry demonstrator based on triangular transformation according to claim 3, wherein the sliding slot clamping plate (201) corresponding to the vertical ruler (1) is formed at the back of the horizontal ruler (2), and the sliding slot clamping plate (201) is provided with a fastening screw (202) for fastening the vertical ruler (1).

5. A geometry demonstrator based on triangular transformation according to claim 4, characterized by the fact that said fixing plate (5) is the same width as the vertical ruler (1).

6. The geometry demonstrator based on triangle transformation as claimed in claim 5, wherein the two ends of the horizontal ruler (2) are formed with tape box bins (203) corresponding to the tape boxes (3), and the tape box bins (203) are formed with through holes corresponding to tape outlets on the tape boxes (3).

7. The geometry demonstrator based on triangle transformation as claimed in claim 6, wherein the upper and back sides of said horizontal ruler (2) are formed with sliding grooves (204) corresponding to the sliding cards (6), said measuring tape is extended from the upper sliding groove (204), said sliding cards (6) are arranged outside the intersection point of the measuring tape and the upper sliding groove (204).

8. The geometry demonstrator based on triangle transformation as in claim 1, wherein said vertical ruler (1) and horizontal ruler (2) are fixed by two segments of insertion type.

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