CN111653161A

CN111653161A - Demonstration device is derived to circular cone volume formula for primary school's mathematical education

Info

Publication number: CN111653161A
Application number: CN202010590207.4A
Authority: CN
Inventors: 杨元超; 刘雪婷; 李凯
Original assignee: Chongqing University of Education
Current assignee: Chongqing University of Education
Priority date: 2020-06-24
Filing date: 2020-06-24
Publication date: 2020-09-11

Abstract

The invention belongs to the field of primary school mathematics teaching tools, and particularly relates to a device for deducing and demonstrating a volume formula of a cone for primary school mathematics teaching, which comprises a base, wherein a turntable is arranged at the upper end of the base, a bolt is sleeved in the turntable in a sliding manner, the bolt is sleeved in the base in a sliding manner, a countersunk groove is formed in the lower end of the base, a nut is connected to the lower end of the bolt through threads, a pressure spring is sleeved outside the bolt in a sliding manner, an annular groove is formed in the upper end of the base, a steel ball is arranged in the annular groove, and the upper end of the steel. According to the invention, the turntable is arranged at the upper end of the base, the turntable and the base are connected in a matched manner through the bolt and the nut, the annular groove is formed in the base, and the steel ball is arranged in the annular groove, so that the whole structure at the upper end of the turntable can rotate relative to the base, and the teaching demonstration can be more conveniently carried out on students at all positions, and the teaching quality is better.

Description

Demonstration device is derived to circular cone volume formula for primary school's mathematical education

Technical Field

The invention relates to the technical field of primary school mathematics teaching aids, in particular to a device for deducing and demonstrating a cone volume formula for primary school mathematics teaching.

Background

The cone volume formula is a commonly used formula for calculating volume in mathematics and physics of primary and secondary schools. Although students can better understand the conceptual meaning of the cone volume, the calculation of the cone volume is too abstract, especially the cone volume is one third of the cylinder with the same bottom and the same height, the reasoning of the formula is rather difficult, so the related knowledge of the cone volume is often dead angles and difficulties of the students, and the students only remember the formula by rote, do not know the formula and are easy to remember wrongly or remember wrongly.

The demonstration device is derived to primary school's mathematical education for circular cone volume formula among the prior art, in demonstrating the in-process, can not be convenient carry out demonstration many times in succession, simultaneously, the device monolithic stationary is not convenient for all students to watch to, can not get into the cylinder bottle with the water in the circular cone bottle in proper order in, make the unable formula content of understanding more deeply of student. Accordingly, there is a need for improvements in the art.

Disclosure of Invention

The invention aims to provide a device for deducing and demonstrating a cone volume formula for primary school mathematical teaching, which solves the problems that continuous and repeated demonstration cannot be conveniently carried out, all students cannot conveniently watch the device, and the problem that water in a cone bottle cannot sequentially enter a cylindrical bottle.

In order to achieve the purpose, the invention provides the following technical scheme: a conical volume formula derivation demonstration device for primary school mathematics teaching comprises a base, wherein a rotary disc is arranged at the upper end of the base, a bolt is slidably sleeved in the rotary disc, a bolt is slidably sleeved in the base, a countersunk groove is formed in the lower end of the base, a nut is connected to the lower end of the bolt through threads, a pressure spring is slidably sleeved on the outer side of the bolt, an annular groove is formed in the upper end of the base, a steel ball is arranged in the annular groove, the upper end of the steel ball is in contact connection with the rotary disc, a side plate is welded at the upper end of the rotary disc, a support rod is slidably sleeved in the side plate, a support sleeve is welded at the tail end of the support rod, a four-way pipe is arranged in the support sleeve, a stop valve is arranged on the four-way pipe, a conical bottle is arranged at the upper, the outside of cylinder bottle is provided with the scale, the left end welding of curb plate has the sleeve, sliding sleeve has cup jointed the bracing piece in the sleeve, set up the mounting groove in the sleeve, sliding sleeve has cup jointed the lug in the mounting groove, be provided with the spring in the mounting groove, the outside of bracing piece is provided with the elasticity plectrum, the outside contact connection of elasticity plectrum has the lug.

Preferably, the upper end of the nut is in contact connection with a pressure spring, and the upper end of the pressure spring is in contact connection with a gasket.

Preferably, the outer side of the bolt is sleeved with a gasket in a sliding mode, and the upper end of the gasket is connected with a base in a contact mode.

Preferably, an anti-slip sleeve is bonded in the supporting sleeve, and a four-way pipe is sleeved in the anti-slip sleeve.

Preferably, the lower end of the conical bottle is provided with a joint, and the upper end of the four-way pipe is connected with the joint through threads.

Preferably, the number of the conical bottles is three, the bottom areas of the three conical bottles are consistent with the size of the cylindrical bottle, and the heights of the three conical bottles and the cylindrical bottle are consistent.

Preferably, the lower end of the spring is bonded with a bump, and the upper end of the spring is bonded on the sleeve.

Preferably, the elastic shifting piece is provided with a plurality of elastic shifting pieces which are distributed on the outer side of the supporting rod in an annular array manner, and the outer side of each elastic shifting piece is connected with a convex block in a contact manner.

Compared with the prior art, the invention has the following beneficial effects:

1. according to the invention, the turntable is arranged at the upper end of the base, the turntable and the base are connected in a matched manner through the bolt and the nut, the annular groove is formed in the base, and the steel ball is arranged in the annular groove, so that the whole structure at the upper end of the turntable can rotate relative to the base, and the teaching demonstration can be more conveniently carried out on students at all positions, and the teaching quality is better.

The supporting rod is sleeved in the side plate in a sliding mode, the supporting rod can be driven to rotate through the rotation of the supporting rod, so that the supporting sleeve is driven to rotate, the conical bottle and the cylindrical bottle are driven to change positions, water in the cylindrical bottle flows in the reverse direction, the device can be conveniently demonstrated for multiple times, and students can understand more deeply through multiple times of demonstration.

2. According to the invention, the sleeve is welded on the outer side of the side plate, the lug is arranged in the sleeve and the elastic shifting sheet is arranged on the outer side of the supporting rod to be matched, so that the supporting rod can rotate, and the supporting rod is convenient to fix when rotating to a specified position, so that the device can be conveniently and rapidly turned and adjusted when being demonstrated for multiple times.

3. According to the invention, the stop valve is arranged on the four-way pipe, the scales are arranged on the cylindrical bottle, and the stop valve controls the water outlet of the conical bottle, so that the conical bottle can sequentially discharge water, and students can more conveniently understand the water in the teaching demonstration process.

4. According to the invention, the front and back different scales are arranged on the cylindrical bottle, so that the scales can be conveniently observed for teaching demonstration after the positions of the conical bottle and the cylindrical bottle are changed, and the use is convenient.

Drawings

FIG. 1 is a schematic structural view of the present invention;

FIG. 2 is a side elevational view of FIG. 1 in accordance with the present invention;

FIG. 3 is a schematic view of the cylindrical bottle of FIG. 1 according to the present invention;

FIG. 4 is an enlarged view taken at A of FIG. 1 in accordance with the present invention;

FIG. 5 is an enlarged view of the invention at B in FIG. 1;

fig. 6 is an enlarged view of the invention at C in fig. 1.

In the figure: 1. a base; 2. a turntable; 3. a bolt; 4. a countersunk groove; 5. a nut; 6. a pressure spring; 7. a gasket; 8. an annular groove; 9. steel balls; 10. a side plate; 11. a support bar; 12. a support sleeve; 13. an anti-slip sleeve; 14. a four-way pipe; 15. a stop valve; 16. a conical flask; 17. a joint; 18. a cylindrical bottle; 19. a bottle cap; 20. calibration; 21. a sleeve; 22. mounting grooves; 23. a bump; 24. a spring; 25. an elastic shifting piece.

Detailed Description

The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.

Examples

Referring to fig. 1, 3 and 6, a device for deriving and demonstrating a volume formula of a cone for primary mathematics teaching comprises a base 1, a rotary table 2 is arranged at the upper end of the base 1, a bolt 3 is slidably sleeved in the rotary table 2, the bolt 3 is slidably sleeved in the base 1, a countersunk groove 4 is formed at the lower end of the base 1 and used for hiding a nut 5, so that the base 1 is more stable, the lower end of the bolt 3 is connected with the nut 5 through a thread, a pressure spring 6 is slidably sleeved at the outer side of the bolt 3, an annular groove 8 is formed at the upper end of the base 1, a steel ball 9 is arranged in the annular groove 8, the rotary table 2 is in contact connection with the upper end of the steel ball 9, the rotary table 2 is not easy to clamp through the cooperation of the annular groove 8 and the steel ball 9, a side plate 10 is welded at the upper end of the rotary table 2, a support, the volume of the solution in the device is the sum of the volumes of the four-way pipe 14 and the cylindrical bottle 18, which is used for reducing errors, and blue pigment is added in the solution to facilitate observation, a stop valve 15 is arranged on the four-way pipe 14, used for controlling water flow, the upper end of the four-way pipe 14 is provided with a conical bottle 16, the lower end of the four-way pipe 14 is provided with a cylindrical bottle 18, the upper end of the cylindrical bottle 18 is bonded with a bottle cap 19, the outer side of the cylindrical bottle 18 is provided with two scales 20, the directions of the two scales 20 are opposite, make observe the demonstration more directly perceived, the left end welding of curb plate 10 has sleeve 21, and sliding sleeve has the bracing piece 11 in the sleeve 21, has seted up mounting groove 22 in the sleeve 21, and sliding sleeve has lug 23 in the mounting groove 22, is provided with spring 24 in the mounting groove 22, and the outside of bracing piece 11 is provided with elasticity plectrum 25, elasticity plectrum 25 bit elastic metal material, and the outside contact connection of elasticity plectrum 25 has lug 23.

Referring to fig. 4, the upper end of the nut 5 is in contact connection with a compression spring 6, and the upper end of the compression spring 6 is in contact connection with a washer 7. Through setting up pressure spring 6 for bolt 3 is more firm with being connected between base 1 and the carousel 2.

Referring to fig. 4, the outer side of the bolt 3 is slidably sleeved with a washer 7, and the upper end of the washer 7 is in contact connection with the base 1. Through setting up packing ring 7, increase the lifting surface area of base 1 for nut 5 is difficult for producing not hard up.

Referring to fig. 1, an anti-slip sleeve 13 is bonded in the support sleeve 12, and a four-way pipe 14 is connected in the anti-slip sleeve 13. By arranging the anti-slip sleeve 13, the connection between the support sleeve 12 and the four-way pipe 14 is more stable and convenient to detach.

Referring to fig. 5, a joint 17 is disposed at the lower end of the conical bottle 16, and the joint 17 is connected to the upper end of the four-way pipe 14 through a screw thread. The conical bottle 16 is convenient to mount and dismount by arranging the joint 17.

Referring to fig. 1, there are three conical bottles 16, the bottom areas of the three conical bottles 16 are the same as the size of the cylindrical bottle 18, and the heights of the three conical bottles 16 and the cylindrical bottle 18 are the same. By setting the height and base area of the conical bottle 16 and the cylindrical bottle 18 to be consistent, formula derivation demonstration is realized.

Referring to fig. 6, the lower end of the spring 24 is adhered with the bump 23, and the upper end of the spring 24 is adhered to the sleeve 21. The projection 23 is made to be retractable in the mounting groove 22 by providing a spring 24.

Referring to fig. 2, there are a plurality of elastic shifting pieces 25, the elastic shifting pieces 25 are annularly distributed on the outer side of the supporting rod 11, and the outer side of each elastic shifting piece 25 is connected with a bump 23 in a contacting manner. The supporting rod 11 is convenient to rotate and position by arranging a plurality of elastic shifting pieces 25 to be matched with the convex blocks 23.

The specific implementation process of the invention is as follows: when the device is used, the device is placed on a platform, the conical bottle 16 and the cylindrical bottle 18 are positioned on the same vertical plane by rotating the support rod 11, so that liquid in the conical bottle 16 can smoothly flow into the cylindrical bottle 18, the rotary disc 2 is arranged at the upper end of the base 1, the rotary disc 2 is connected with the base 1 through the bolt 3 and the nut 5 in a matching way, the annular groove 8 is arranged on the base 1, and the steel ball 9 is arranged in the annular groove 8, so that the whole structure at the upper end of the rotary disc 2 can rotate relative to the base 1, and students at all positions can be more conveniently demonstrated, so that the teaching quality is better, when the device is demonstrated again, the support sleeve 12 can be driven to rotate through the rotation of the support rod 11, so that the conical bottle 16 and the cylindrical bottle 18 are driven to carry out position exchange, so that water in the cylindrical bottle 18 flows in the reverse direction, the device can conveniently carry out multiple times of demonstration, because the sleeve 21 is welded outside the side plate 10, the lug 23 and the elastic shifting piece 25 are arranged outside the supporting rod 11 in the sleeve 21, so that the supporting rod 11 can rotate, the supporting rod 11 rotates to a specified position to be convenient for fixing, and the device can be conveniently and quickly turned and adjusted during multiple demonstrations. In the teaching demonstration process, through stop valve 15 control, can be so that conical flask 16 can go on in proper order out water for the teaching demonstration in-process of imparting knowledge to students of being more convenient for understands. And because set up positive and negative different scale 20 on cylinder bottle 18 for it demonstrates to be convenient for observe scale 20 and impart knowledge to students to facilitate the use to carry out the position change back at circular cone bottle 16 and cylinder bottle 18.

Although embodiments of the present invention have been shown and described, it will be appreciated by those skilled in the art that changes, modifications, substitutions and alterations can be made in these embodiments without departing from the principles and spirit of the invention, the scope of which is defined in the appended claims and their equivalents.

Claims

1. The utility model provides a presentation device is derived to circular cone volume formula for primary school's mathematical education, includes base (1), its characterized in that: the upper end of the base (1) is provided with a turntable (2), the turntable (2) is slidably sleeved with a bolt (3), the base (1) is slidably sleeved with the bolt (3), the lower end of the base (1) is provided with a countersunk groove (4), the lower end of the bolt (3) is connected with a nut (5) through threads, the outer side of the bolt (3) is slidably sleeved with a pressure spring (6), the upper end of the base (1) is provided with a ring groove (8), a steel ball (9) is arranged in the ring groove (8), the upper end of the steel ball (9) is in contact connection with the turntable (2), the upper end of the turntable (2) is welded with a side plate (10), the side plate (10) is slidably sleeved with a support rod (11), the tail end of the support rod (11) is welded with a support sleeve (12), and a four-way, be provided with stop valve (15) on four-way pipe (14), the upper end of four-way pipe (14) is provided with circular cone bottle (16), the lower extreme of four-way pipe (14) is provided with cylinder bottle (18), the upper end of cylinder bottle (18) bonds there is bottle lid (19), the outside of cylinder bottle (18) is provided with scale (20), the left end welding of curb plate (10) has sleeve (21), sliding sleeve has bracing piece (11) in sleeve (21), seted up mounting groove (22) in sleeve (21), sliding sleeve has lug (23) in mounting groove (22), be provided with spring (24) in mounting groove (22), the outside of bracing piece (11) is provided with elasticity plectrum (25), the outside contact connection of elasticity plectrum (25) has lug (23).

2. The apparatus for deriving and demonstrating volume formula of primary school mathematics according to claim 1, wherein: the upper end contact of nut (5) is connected with pressure spring (6), the upper end contact of pressure spring (6) is connected with packing ring (7).

3. The apparatus for deriving and demonstrating volume formula of primary school mathematics according to claim 1, wherein: the outer side of the bolt (3) is sleeved with a gasket (7) in a sliding mode, and the upper end of the gasket (7) is connected with the base (1) in a contact mode.

4. The apparatus for deriving and demonstrating volume formula of primary school mathematics according to claim 1, wherein: an anti-skidding sleeve (13) is bonded in the supporting sleeve (12), and a four-way pipe (14) is sleeved in the anti-skidding sleeve (13).

5. The apparatus for deriving and demonstrating volume formula of primary school mathematics according to claim 1, wherein: the lower end of the conical bottle (16) is provided with a joint (17), and the upper end of the four-way pipe (14) is connected with the joint (17) through threads.

6. The apparatus for deriving and demonstrating volume formula of primary school mathematics according to claim 1, wherein: the number of the conical bottles (16) is three, the bottom areas of the three conical bottles (16) are consistent with the size of the cylindrical bottle (18), and the heights of the three conical bottles (16) and the cylindrical bottle (18) are consistent.

7. The apparatus for deriving and demonstrating volume formula of primary school mathematics according to claim 1, wherein: the lower end of the spring (24) is bonded with a bump (23), and the upper end of the spring (24) is bonded on the sleeve (21).

8. The apparatus for deriving and demonstrating volume formula of primary school mathematics according to claim 1, wherein: the elastic shifting piece (25) is provided with a plurality of elastic shifting pieces (25) which are distributed on the outer side of the supporting rod (11) in an annular array manner, and the outer side of each elastic shifting piece (25) is connected with a convex block (23) in a contact manner.