CN202383890U - Double integral teaching demonstration instrument - Google Patents
Double integral teaching demonstration instrument Download PDFInfo
- Publication number
- CN202383890U CN202383890U CN2011204630524U CN201120463052U CN202383890U CN 202383890 U CN202383890 U CN 202383890U CN 2011204630524 U CN2011204630524 U CN 2011204630524U CN 201120463052 U CN201120463052 U CN 201120463052U CN 202383890 U CN202383890 U CN 202383890U
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- China
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- integral
- double
- demonstration instrument
- double integral
- plate body
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Abstract
Provided is a double integral teaching demonstration instrument, capable of accurately determining the top and bottom limitation of the double definite integrals for any shape of integral area amid the double integral calculation. The plate body of the double integral teaching demonstration instrument is provided with two smooth coordinate fine grooves which are vertical to each other and penetrating. When the integral area of a double integral is drawn upon the surface of the plate body, a user can observe in which way the slender rod sweeps over the boundary of the integral area to determine the top and bottom limitation of the double definite integrals through the sliding of a small circular column having a slender rod embedded inside the coordinate fine groove. The double integral teaching demonstration instrument features a simple structure, convenient usage, visual demonstration effect, and easy operation, thereby suitable for being used in advanced mathematic teaching.
Description
Technical field
The utility model patent relates to a kind of mathematics teaching aid of confirming the range of integration of twice definite integral in the double integral calculating of demonstrating, and belongs to the teaching aid technical field.
Background technology
At present, in the double integral of higher mathematics is calculated, confirm that according to the different situations of integral domain the method for the range of integration of twice definite integral has only the plane picture collimation method on the teaching material, promptly in the method for integral domain inside-paint perpendicular to the straight line of coordinate axis.Prove through teaching practice: the plane picture collimation method compares easy to understand for the X type integral domain or the Y type integral domain of rule; But for the complicated integral domain that need integral domain be divided into several X types or Y type integral domain, for want of visual in image demonstration and be difficult to understand.
Summary of the invention
For solve double integral calculate in complicated integral domain be difficult to accurately confirm the range of integration problem of twice definite integral; The utility model provides a kind of mathematics teaching aid of confirming the range of integration of twice definite integral in the double integral calculating of demonstrating, and this teaching aid can be drilled to be illustrated in the double integral calculating visual in imagely and is directed against the range of integration how various integral domains confirm twice definite integral.
The utility model patent solves the technical scheme that its technical matters adopted: mainly be made up of plate body and the small cylinder that has thin bar; It is characterized in that there is hook the plate body upper edge; Horizontal vertical two vertical each other and connect coordinate strias are arranged on the plate body; Small cylinder is embedded in the coordinate system groove, and a perpendicular thin bar is fixed in its centre position, side.After the integral domain of double integral is drawn on the plate body plane, can be through the slip of small cylinder in horizontal ordinate stria that has thin bar, the situation of observing the inswept integral domain of thin bar border is confirmed the range of integration of twice definite integral.
The beneficial effect of the utility model patent is to demonstrate out the method for the range of integration of confirming twice definite integral to the integral domain of Any shape flexibly and easily.
Description of drawings
Accompanying drawing is the device synoptic diagram of double integral demonstration instrument for teaching.
1. plate bodys among the figure, 2. hook, 3. horizontal ordinate stria, 4. ordinate stria, 5. small cylinder, 6. thin bar.
Embodiment
In the drawings; Hook (2) is fixed in the middle of the upper edge of plate body (1); Horizontal ordinate stria (3) and perforation vertical each other with ordinate stria (4); Inner wall smooth, the degree of depth of horizontal ordinate stria (3) and ordinate stria (4) is less than the width of horizontal ordinate stria (3) and ordinate stria (4), and horizontal ordinate stria (3) and ordinate stria (4) both sides outward flange are carved with even scale; The diameter of small cylinder (5), has in small cylinder (5) side and to be fixed in position, intermediate portion and the thin bar (6) vertical with small cylinder (5) greater than the degree of depth of horizontal ordinate stria (3) and ordinate stria (4) less than the width of horizontal ordinate stria (3) and ordinate stria (4).
Claims (2)
1. double integral demonstration instrument for teaching; It is characterized in that: constitute by plate body and the small cylinder that has thin bar; In the plate body upper edge hook is arranged, horizontal vertical two vertical each other and connect coordinate strias are arranged on the plate body, a perpendicular thin bar is fixed in centre position, small cylinder side.
2. double integral demonstration instrument for teaching according to claim 1 is characterized in that: small cylinder is embedded in the coordinate stria.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN2011204630524U CN202383890U (en) | 2011-11-21 | 2011-11-21 | Double integral teaching demonstration instrument |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN2011204630524U CN202383890U (en) | 2011-11-21 | 2011-11-21 | Double integral teaching demonstration instrument |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN202383890U true CN202383890U (en) | 2012-08-15 |
Family
ID=46632377
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN2011204630524U Expired - Fee Related CN202383890U (en) | 2011-11-21 | 2011-11-21 | Double integral teaching demonstration instrument |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN202383890U (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110096675A (en) * | 2019-04-29 | 2019-08-06 | 武汉轻工大学 | Double integral method for solving, device, equipment and storage medium |
-
2011
- 2011-11-21 CN CN2011204630524U patent/CN202383890U/en not_active Expired - Fee Related
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110096675A (en) * | 2019-04-29 | 2019-08-06 | 武汉轻工大学 | Double integral method for solving, device, equipment and storage medium |
| CN110096675B (en) * | 2019-04-29 | 2023-05-12 | 武汉轻工大学 | Double integral solving method, device, equipment and storage medium |
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Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C14 | Grant of patent or utility model | ||
| GR01 | Patent grant | ||
| C17 | Cessation of patent right | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20120815 Termination date: 20121121 |