CN204440755U - A kind of volume relationship demonstration teaching aid - Google Patents
A kind of volume relationship demonstration teaching aid Download PDFInfo
- Publication number
- CN204440755U CN204440755U CN201520115883.0U CN201520115883U CN204440755U CN 204440755 U CN204440755 U CN 204440755U CN 201520115883 U CN201520115883 U CN 201520115883U CN 204440755 U CN204440755 U CN 204440755U
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- CN
- China
- Prior art keywords
- toot
- teaching aid
- motorized valve
- hydrostatic column
- triode thyristor
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Abstract
The utility model discloses a kind of volume relationship demonstration teaching aid, comprising: for taking up liquid, and have the toot of through hole at cone top part; Floorage equals the hydrostatic column of toot floorage; For the fixed mount of fixing toot; Described toot is inverted, and is positioned at the top of hydrostatic column, and toot and hydrostatic column are by catheter UNICOM; Characterized by further comprising: be arranged on catheter, for controlling the motorized valve of toot and hydrostatic column conducting or shutoff; Be connected to the control end of motorized valve, for controlling the control device of motorized valve conducting or shutoff; Be connected to the input end of control device, for the motorized valve conducting of control device input control or cut-off signals, and the guidance panel of the time span signal of motorized valve conducting.This teaching aid structure is simple, with low cost, easy to use.
Description
Technical field
The utility model relates to a kind of volume relationship demonstration teaching aid, is specially a kind of volume relationship demonstration teaching aid.
Background technology
Teaching aid serves vital role in teaching, and the effective teaching aid that uses operates, and can transfer the interest of Students ' Learning, and stimulate the intuition force image of student, and abstract mathematical knowledge can be made to become visual impression, be beneficial to student and better understand.Deriving about the volume computing of cylinder with cone and experiment in mathematical education is the required content of giving lessons, and in existing teaching process, if only allow student be write down by formula, student is difficult to memory and profound, and therefore, some schools introduce experimental didactics.
But existing, teaching aid is very large about cylinder with cone volume experiment demonstration time error, and teaching efficiency is general.Usually the relation of circular cone and cylindrical volume can only be demonstrated, i.e. V
cylinder=Sh=π r
2wherein S is base area to h, h is the height of cylinder, and function ratio is more single, and utilization factor is lower.In teaching, student for cylinder, round platform (
wherein r, R be respectively round platform upper base, radius of going to the bottom) and the volume relationship of circular cone, often there is no visual impression, such as: the classmate much begun to learn thinks, circular cone a mid-height, round platform b volume equals 1/6 of the cylinder c volume corresponding to 3 times of volume circular cone a; Even through study after a while, a lot of student also can think, the volume of the round platform that circular cone a height 1/3 place intercepts equals 1/2 of circular cone a volume.Therefore one more intuitively volume relationship demonstration teaching aid be badly in need of be developed.
Summary of the invention
The utility model for the proposition of above problem, and develop a kind of structure simple, control volume relationship demonstration teaching aid easily.
The technical solution of the utility model is:
A kind of volume relationship demonstration teaching aid, comprising: for taking up liquid, and has the toot of through hole at cone top part; Floorage equals the hydrostatic column of toot floorage; For the fixed mount of fixing toot; Described toot is inverted, and is positioned at the top of hydrostatic column, and toot and hydrostatic column are by catheter UNICOM;
Characterized by further comprising: be arranged on catheter, for controlling the motorized valve of toot and hydrostatic column conducting or shutoff;
Be connected to the control end of motorized valve, for controlling the control device of motorized valve conducting or shutoff;
Be connected to the input end of control device, for the motorized valve conducting of control device input control or cut-off signals, and the guidance panel of the time span signal of motorized valve conducting.
Be provided with liquid height measuring chi in circular cone in described toot, in described hydrostatic column, be provided with liquid height measuring chi in cylinder.
Described control device comprises single-chip microcomputer, photoelectric isolating circuit and bidirectional triode thyristor, described single-chip microcomputer input end biconditional operation panel is connected, the output terminal of described single-chip microcomputer is by being connected on the control end of bidirectional triode thyristor after photoelectric isolating circuit, the output terminal of described bidirectional triode thyristor is connected on motorized valve.
Described photoelectric isolating circuit comprises photoelectrical coupler U1, pull-up resistor R3, resistance R4 and resistance R5; The output pin of described single-chip microcomputer is connected with second pin of photoelectrical coupler U1; First pin of described photoelectrical coupler U1 connects 5V power supply by pull-up resistor R3; 4th pin of described photoelectrical coupler U1 directly connects the control pole of described bidirectional triode thyristor Q1, is connected the second anode of described bidirectional triode thyristor Q1 by resistance R5 simultaneously; 6th pin of described photoelectrical coupler U1 connects the first anode of described bidirectional triode thyristor Q1 by resistance R4; The first anode of described bidirectional triode thyristor Q1 and second anode two ends are also parallel with by resistance R6 and electric capacity C1 branch road mutually in series.
Described catheter is detachably connected on toot by connector.
Also comprise the support platform for placing hydrostatic column, described control device and guidance panel are fixed in support platform; Described support platform and fixed mount are the integrated design.
This teaching aid demo content more comprehensively, not only can demonstrate traditional contour, etc. the circular cone of floorage with the volume relationship of cylinder, also can demonstrate the volume relationship of different high round platform with cylinder and other more complicated volume corresponding relation; Such student can set up space multistory very well by this teaching aid and think about it ability.In addition, this teaching aid structure is simple, easy to use, is adapted at elementary teaching field and extensively promotes.
Accompanying drawing explanation
Fig. 1 is the structured flowchart of teaching aid described in the utility model.
Fig. 2 is the structured flowchart of teaching aid control system described in the utility model.
Fig. 3 is the circuit theory diagrams of control device described in the utility model.
Fig. 4 is the utility model embodiment 1 state 1 figure.
Fig. 5 is the utility model embodiment 1 state 2 figure.
Fig. 6 is the utility model embodiment 2 state 1 figure.
Fig. 7 is the utility model embodiment 2 state 2 figure.
Embodiment
A kind of volume relationship demonstration teaching aid as shown in Figures 1 to 7, comprising: for taking up liquid, and has the toot 1 of through hole at cone top part; Floorage equals the hydrostatic column 2 of toot 1 floorage; For the fixed mount 3 of fixing toot 1; Described toot 1 is inverted, and is positioned at the top of hydrostatic column 2, and toot 1 and hydrostatic column 2 are by catheter 4 UNICOM; Be arranged on catheter 4, for controlling the motorized valve 5 of toot 1 and hydrostatic column 2 conducting or shutoff; Be connected to the control end of motorized valve 5, for controlling the control device 501 of motorized valve 5 conducting or shutoff; Be connected to the input end of control device 501, for motorized valve 5 conducting of control device 501 input control or cut-off signals, and the guidance panel 502 of the time span signal of motorized valve conducting, as depicted in figs. 1 and 2.
Be provided with liquid height measuring chi 101 in circular cone in described toot 1, in described hydrostatic column 2, be provided with liquid height measuring chi 201 in cylinder.Described control device 501 comprises single-chip microcomputer, photoelectric isolating circuit and bidirectional triode thyristor, described single-chip microcomputer input end biconditional operation panel 502 is connected, the output terminal of described single-chip microcomputer is by being connected on the control end of bidirectional triode thyristor after photoelectric isolating circuit, the output terminal of described bidirectional triode thyristor is connected on motorized valve 5.Described photoelectric isolating circuit comprises photoelectrical coupler U1, pull-up resistor R3, resistance R4 and resistance R5; The output pin of described single-chip microcomputer is connected with second pin of photoelectrical coupler U1; First pin of described photoelectrical coupler U1 connects 5V power supply by pull-up resistor R3; 4th pin of described photoelectrical coupler U1 directly connects the control pole of described bidirectional triode thyristor Q1, is connected the second anode of described bidirectional triode thyristor Q1 by resistance R5 simultaneously; 6th pin of described photoelectrical coupler U1 connects the first anode of described bidirectional triode thyristor Q1 by resistance R4; The first anode of described bidirectional triode thyristor Q1 and second anode two ends are also parallel with by resistance R6 and electric capacity C1 branch road mutually in series, as shown in Figure 3; Bidirectional triode thyristor adopts BTA16-600B model controllable silicon; Photoelectrical coupler adopts A4506 model photoelectrical coupler; Single-chip microcomputer adopts S3F94A5XZZ-QZ85 model single-chip microcomputer.Described catheter 4 is detachably connected on toot 1 by connector 401.Also comprise the support platform 6 for placing hydrostatic column 2, described control device 501 and guidance panel 502 are fixed in support platform 6; Described support platform 6 and fixed mount 3 are the integrated design.
Embodiment 1: demonstration circular cone is with the volume relationship of cylinder, state 1 as shown in Figure 4, water is filled in toot 1, liquid level in-position A, namely the top of liquid height measuring chi 101 in scale circular cone is arrived, wherein in circular cone, liquid height measuring chi 101 is equal with liquid height measuring chi 201 scale mark in cylinder, after starting motorized valve 5, wherein the water in toot 1 can all be put into hydrostatic column 2 by setting-up time, obtaining Fig. 5 is the utility model embodiment 1 state 2 figure, water in toot 1 enters in hydrostatic column 2, liquid level in-position B, illustrate the relation of 1/3 intuitively.
Embodiment 2: demonstration round platform is with the volume relationship of cylinder, and state 1 as shown in Figure 5, fills water in toot 1, liquid level in-position C, namely arrives the top of liquid height measuring chi 101 in scale circular cone; After water is put into the position of liquid level D, the water surface in hydrostatic column 2 arrives E position, as shown in Figure 7.
This teaching aid demo content more comprehensively, not only can demonstrate traditional contour, etc. the circular cone of floorage with the volume relationship of cylinder, also can demonstrate the volume relationship of different high round platform with cylinder and other more complicated volume corresponding relation; Such student can set up space multistory visionary very well by this teaching aid.
The above; be only the utility model preferably embodiment; but protection domain of the present utility model is not limited thereto; anyly be familiar with those skilled in the art in the technical scope that the utility model discloses; be equal to according to the technical solution of the utility model and inventive concept thereof and replace or change, all should be encompassed within protection domain of the present utility model.
Claims (6)
1. a volume relationship demonstration teaching aid, comprising: for taking up liquid, and has the toot (1) of through hole at cone top part;
Floorage equals the hydrostatic column (2) of toot (1) floorage;
For the fixed mount (3) of fixing toot (1);
Described toot (1) is inverted, and is positioned at the top of hydrostatic column (2), and toot (1) and hydrostatic column (2) are by catheter (4) UNICOM;
Characterized by further comprising: be arranged on catheter (4), for controlling the motorized valve (5) of toot (1) and hydrostatic column (2) conducting or shutoff;
Be connected to the control end of motorized valve (5), for controlling the control device (501) of motorized valve (5) conducting or shutoff;
Be connected to the input end of control device (501), for to (5) conducting of control device (501) input control motorized valve or cut-off signals, and the guidance panel (502) of the time span signal of motorized valve conducting.
2. a kind of volume relationship demonstration teaching aid according to claim 1, it is characterized in that in described toot (1), being provided with liquid height measuring chi (101) in circular cone, in described hydrostatic column (2), be provided with liquid height measuring chi (201) in cylinder.
3. a kind of volume relationship demonstration teaching aid according to claim 1, it is characterized in that described control device (501) comprises single-chip microcomputer, photoelectric isolating circuit and bidirectional triode thyristor, described single-chip microcomputer input end biconditional operation panel (502) is connected, the output terminal of described single-chip microcomputer is by being connected on the control end of bidirectional triode thyristor after photoelectric isolating circuit, the output terminal of described bidirectional triode thyristor is connected on motorized valve (5).
4. a kind of volume relationship demonstration teaching aid according to claim 3, is characterized in that described photoelectric isolating circuit comprises photoelectrical coupler U1, pull-up resistor R3, resistance R4 and resistance R5; The output pin of described single-chip microcomputer is connected with second pin of photoelectrical coupler U1; First pin of described photoelectrical coupler U1 connects 5V power supply by pull-up resistor R3; 4th pin of described photoelectrical coupler U1 directly connects the control pole of described bidirectional triode thyristor Q1, is connected the second anode of described bidirectional triode thyristor Q1 by resistance R5 simultaneously; 6th pin of described photoelectrical coupler U1 connects the first anode of described bidirectional triode thyristor Q1 by resistance R4; The first anode of described bidirectional triode thyristor Q1 and second anode two ends are also parallel with by resistance R6 and electric capacity C1 branch road mutually in series.
5. a kind of volume relationship demonstration teaching aid according to claim 1, is characterized in that described catheter (4) is detachably connected on toot (1) by connector (401).
6. a kind of volume relationship demonstration teaching aid according to claim 1, characterized by further comprising the support platform (6) for placing hydrostatic column (2), described control device (501) and guidance panel (502) are fixed in support platform (6); Described support platform (6) and fixed mount (3) are the integrated design.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201520115883.0U CN204440755U (en) | 2015-02-15 | 2015-02-15 | A kind of volume relationship demonstration teaching aid |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201520115883.0U CN204440755U (en) | 2015-02-15 | 2015-02-15 | A kind of volume relationship demonstration teaching aid |
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| Publication Number | Publication Date |
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| CN204440755U true CN204440755U (en) | 2015-07-01 |
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| Application Number | Title | Priority Date | Filing Date |
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| CN201520115883.0U Expired - Fee Related CN204440755U (en) | 2015-02-15 | 2015-02-15 | A kind of volume relationship demonstration teaching aid |
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| CN (1) | CN204440755U (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105427714A (en) * | 2016-01-05 | 2016-03-23 | 江南大学 | Instrument for verifying volume relations among sphere, cone and cylinder |
-
2015
- 2015-02-15 CN CN201520115883.0U patent/CN204440755U/en not_active Expired - Fee Related
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105427714A (en) * | 2016-01-05 | 2016-03-23 | 江南大学 | Instrument for verifying volume relations among sphere, cone and cylinder |
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Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C14 | Grant of patent or utility model | ||
| GR01 | Patent grant | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20150701 Termination date: 20160215 |
|
| CF01 | Termination of patent right due to non-payment of annual fee |