CN206301520U - Cosine law apparatus for demonstrating - Google Patents
Cosine law apparatus for demonstrating Download PDFInfo
- Publication number
- CN206301520U CN206301520U CN201621322893.2U CN201621322893U CN206301520U CN 206301520 U CN206301520 U CN 206301520U CN 201621322893 U CN201621322893 U CN 201621322893U CN 206301520 U CN206301520 U CN 206301520U
- Authority
- CN
- China
- Prior art keywords
- hack lever
- protractor
- tie point
- support body
- guide
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired - Fee Related
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Abstract
Cosine law apparatus for demonstrating, belong to teaching instrument and equipment technical field, it includes support body, the support body is made up of triangle support body and protractor, the triangle support body includes the first hack lever, the second hack lever, the 3rd hack lever and the 4th hack lever, the second guide-track groove, the 3rd guide-track groove and the 4th guide-track groove on the grade hack lever can carry out sliding extension by axle center of first axle tie point, so that the number of degrees at three angles change on triangle support body；Its advantage is that the side in the cosine law and the correlation at angle have been made the constructional device that can directly observe, the length and three angular dimensions and length of perpendicular at angle on two sides can be converted on triangle support body by the rotary shaft slided on first axle tie point, observe directly the transformation relation of angle and length, the implication of the profound lesson cosine law, the understanding to the cosine law can be deepened, learning efficiency is effectively improved.
Description
Technical field
The utility model is related to teaching instrument and equipment technical field, particularly a kind of cosine law apparatus for demonstrating.
Background technology
In mathematics studying, will integrate theory with practice can effectively understand correlation theorem, and can flexibly transport
In using other knowledge.In learning mathematicses knowledge, more preferably can faster understand related to grasp by relevant presentation instrument
Knowledge, excites learning interest.There is presently no the apparatus for demonstrating related to the cosine law, it is unfavorable for improving learning efficiency.
Utility model content
Technical problem to be solved in the utility model is to provide a kind of to be easy to fast understanding and grasps the cosine law to drill
Showing device, directly to observe and improves learning efficiency.
In order to solve the above technical problems, the technical scheme that the utility model is used is a kind of cosine law apparatus for demonstrating,
Including support body, it is characterised in that the support body is made up of triangle support body and protractor, the triangle support body includes the first hack lever, the
Two hack levers, the 3rd hack lever and the 4th hack lever, wherein a side end of the second hack lever passes through rotation with a side end of the first hack lever
Axle is fixedly connected on the second axle tie point, the second hack lever and the first hack lever is rotated centered on the second axle tie point and is entered
Row angular displacement；One side end of the 3rd hack lever is fixedly connected on the 3rd axle and connects with another side end of the first hack lever by rotary shaft
Contact, enables the 3rd hack lever and the first hack lever to be rotated centered on the 3rd axle tie point and carry out angular displacement；4th hack lever
One side end is fixedly mounted between two side ends on the first hack lever, and the 4th hack lever is vertical with the first hack lever, and its is vertical
Fixing point is the point that hangs down, and the distance of the vertical point and the second axle tie point is the distance of the first length, the vertical point and the 3rd axle tie point
It is the second length；The centre at the position beyond being located at the first length as starting point with the second axle tie point on the second hack lever has dug one
Second guide-track groove of bar permeability, in the position beyond being located at the second length as starting point with the 3rd axle tie point on the 3rd hack lever
Between dug one article of the 3rd guide-track groove of permeability, the centre of the 4th hack lever has dug one article of the 4th guide-track groove of permeability；The
Two guide-track grooves, the 3rd guide-track groove and the 4th guide-track groove are movably connected in first axle tie point by rotary shaft, connect first axle
Rotary shaft on point second can be led in other words in the second guide-track groove, the 3rd guide-track groove and the enterprising line displacement of the 4th guide-track groove
Track slot, the 3rd guide-track groove and the 4th guide-track groove can carry out sliding extension by axle center of first axle tie point, so that tripod
The number of degrees at three angles change on body.
The protractor is provided with two, and the angulation scope of each protractor is 0 to 90 degree, the center of one of protractor
On the second axle tie point, 0 ° of graduation mark of the protractor overlaps with the first hack lever；Install at the center of another protractor
On the 3rd axle tie point, 0 ° of graduation mark of the protractor overlaps with the first hack lever.
Further, the angulation scope of the protractor is less than 90.
Further, a protractor is additionally provided with first axle tie point, the angulation scope of protractor is 0 to 180 degree, should
0 ° of graduation mark of protractor overlaps with the second hack lever or is overlapped with the 3rd hack lever.
Further, it is equipped with length scale value on the first hack lever, the second hack lever, the 3rd hack lever and the 4th hack lever.
The beneficial effects of the utility model are that the side in the cosine law and the correlation at angle have been made and can directly have been seen
The constructional device examined, two length and three on side on triangle support body can be converted by the rotary shaft slided on first axle tie point
The angular dimension and length of perpendicular at individual angle, observe directly angle and length, profound lesson a2=b2+c2-2bccosA formula
Implication, the understanding to the cosine law can be deepened, effectively improve learning efficiency.
Brief description of the drawings
Fig. 1 is a kind of use state structural representation of cosine law apparatus for demonstrating.
Fig. 2 is another use state structural representation of cosine law apparatus for demonstrating.
Fig. 3 is the calculating schematic diagram of the cosine law.
In figure：1. triangle support body, 2. protractor, 3. the first hack lever, 4. the second hack lever, 5. the 3rd hack lever, 6. the 4th hack lever,
7. the second axle tie point, 8. the 3rd axle tie point, 9. hang down point, 10. the first length, 11. second length, 12 second guide-track grooves, 13.
3rd guide-track groove, 14. the 4th guide-track grooves, 15. first axle tie points.
Specific embodiment
With reference to embodiment, the utility model is described in further detail.
As shown in Figure 1 and Figure 2, a kind of cosine law apparatus for demonstrating is made, the device is a support body, and the support body is by triangle
Support body 1 and protractor 2 are constituted, and the triangle support body 1 includes the first hack lever 3, the second hack lever 4, the 3rd hack lever 5 and the 4th hack lever 6,
One side end of wherein the second hack lever 4 is fixedly connected on the second axle tie point with a side end of the first hack lever 3 by rotary shaft
7, the second hack lever 4 and the first hack lever 3 is rotated centered on the second axle tie point 7 and is carried out angular displacement；3rd hack lever 5
One side end is fixedly connected on the 3rd axle tie point 8 with another side end of the first hack lever 3 by rotary shaft, makes the 3rd hack lever 5
Can be rotated centered on the 3rd axle tie point 8 with the first hack lever 3 and carry out angular displacement；One side end of the 4th hack lever 6 is fixed
Between two side ends on the first hack lever 3, and the 4th hack lever 6 is vertical with the first hack lever 3, and its vertical fixing point is vertical
Point 9, the distance of the axle tie point 7 of vertical point 9 and second is the first length 10, and the distance of the vertical point 9 and the 3rd axle tie point 8 is the
Two length 11；Dug with the centre that the second axle tie point 7 is the position that starting point is located at beyond the first length 10 on second hack lever 4
One the second guide-track groove 12 of permeability, with the 3rd axle tie point 8 for starting point is located at beyond the second length 11 on the 3rd hack lever 5
The centre at position has dug one article of the 3rd guide-track groove 13 of permeability, and the centre of the 4th hack lever 6 has dug one article the of permeability
Four guide-track grooves 14；Second guide-track groove 12, the 3rd guide-track groove 13 and the 4th guide-track groove 14 are movably connected in first axle by rotary shaft
Tie point 15, enables the rotary shaft on first axle tie point 15 in the second guide-track groove 12, the 3rd guide-track groove 13 and the 4th guide rail
The enterprising line displacement of groove 14, the second guide-track groove 12, the 3rd guide-track groove 13 and the 4th guide-track groove 14 can be connected with first axle in other words
Contact 15 carries out sliding extension for axle center, so that the number of degrees at three angles change on triangle support body 1.
The protractor 2 is provided with two, and the angulation scope of each protractor 2 is 0 to 90 degree, in one of protractor
Feel at ease on the second axle tie point 7,0 ° of graduation mark of the protractor overlaps with the first hack lever 3；The center of another protractor
On the 3rd axle tie point 8,0 ° of graduation mark of the protractor overlaps with the first hack lever 3.This practicality is thus made new
Type cosine law apparatus for demonstrating.
During demonstration, second axle tie point 7 is A points on setting triangle support body 1, and the angle where it is ∠ A, the 3rd axle tie point
8 is B points, and the angle where it is ∠ B, and first axle tie point 15 is C points, and the angle where it is ∠ C, the length of setting B points to C points
It is a, A points to C points length are b, and the length of A points to B points is c, and the vertical range of C points to the first hack lever 3 is d, and its vertical point is D
Point, the length of A points to D points is c1, the length of B points to D points is c2, the demonstration change so according to Fig. 1 to Fig. 2, with reference to such as Fig. 3
It is shown, can intuitively experience the correlation on the side and angle in the cosine law, profound lesson a2=b2+c2-2bccosA formula
Implication, learning efficiency can be effectively improved.
In addition, being equipped with length scale value on the first hack lever 3, the second hack lever 4, the 3rd hack lever 5 and the 4th hack lever 6.
In addition, in the present apparatus, the angle of A points and B points is less than 90 ° forever, therefore can be by the angulation of the protractor 2
Scope is designed as less than 90.
In addition, a protractor is may also set up on first axle tie point 15, because the angle of C points is likely to be acute angle,
It is likely to be obtuse angle, therefore the angulation scope of the protractor is designed as 0 to 180 degree, by 0 ° of graduation mark of the protractor and the
Two hack levers overlap or are overlapped with the 3rd hack lever.
Claims (5)
1. cosine law apparatus for demonstrating, including support body, it is characterised in that the support body is by triangle support body（1）And protractor（2）Structure
Into the triangle support body（1）Including the first hack lever（3）, the second hack lever（4）, the 3rd hack lever（5）With the 4th hack lever（6）, wherein the
Two hack levers（4）A side end and the first hack lever（3）A side end the second axle tie point is fixedly connected on by rotary shaft
（7）；3rd hack lever（5）A side end and the first hack lever（3）Another side end the 3rd axle is fixedly connected on by rotary shaft
Tie point（8）；4th hack lever（6）A side end be fixedly mounted on the first hack lever（3）On two side ends between, and the 4th
Hack lever（6）With the first hack lever（3）Vertically, its vertical fixing point is the point that hangs down（9）, the vertical point（9）With the second axle tie point（7）Away from
From being the first length（10）, the vertical point（9）With the 3rd axle tie point（8）Distance be the second length（11）；Second hack lever（4）On
With the second axle tie point（7）For starting point is located at the first length（10）The centre at position in addition has dug one the second of permeability
Guide-track groove（12）, the 3rd hack lever（5）On with the 3rd axle tie point（8）For starting point is located at the second length（11）In position in addition
Between dug one article of the 3rd guide-track groove of permeability（13）, the 4th hack lever（6）Centre dug one article the 4th of permeability the and led
Track slot（14）；Second guide-track groove（12）, the 3rd guide-track groove（13）With the 4th guide-track groove（14）Is movably connected in by rotary shaft
One axle tie point（15）；
The protractor（2）Two are provided with, each protractor（2）Angulation scope for 0 to 90 degree, in one of protractor
Feel at ease mounted in the second axle tie point（7）On, 0 ° of graduation mark of the protractor and the first hack lever（3）Overlap；Another protractor
It is centrally mounted at the 3rd axle tie point（8）On, 0 ° of graduation mark of the protractor and the first hack lever（3）Overlap.
2. cosine law apparatus for demonstrating according to claim 1, it is characterised in that the first hack lever（3）, the second hack lever（4）、
3rd hack lever（5）With the 4th hack lever（6）On be equipped with length scale value.
3. cosine law apparatus for demonstrating according to claim 2, it is characterised in that the protractor（2）Angulation scope it is small
In 90.
4. the cosine law apparatus for demonstrating according to claim 1 or 3, it is characterised in that first axle tie point（15）On also set
There is a protractor, the angulation scope of protractor is 0 to 180 degree, 0 ° of graduation mark of the protractor and the second hack lever（4）Overlap.
5. the cosine law apparatus for demonstrating according to claim 1 or 3, it is characterised in that first axle tie point（15）On also set
There is a protractor, the angulation scope of protractor is 0 to 180 degree, 0 ° of graduation mark of the protractor and the 3rd hack lever（5）Overlap.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201621322893.2U CN206301520U (en) | 2016-12-05 | 2016-12-05 | Cosine law apparatus for demonstrating |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201621322893.2U CN206301520U (en) | 2016-12-05 | 2016-12-05 | Cosine law apparatus for demonstrating |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN206301520U true CN206301520U (en) | 2017-07-04 |
Family
ID=59212191
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201621322893.2U Expired - Fee Related CN206301520U (en) | 2016-12-05 | 2016-12-05 | Cosine law apparatus for demonstrating |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN206301520U (en) |
-
2016
- 2016-12-05 CN CN201621322893.2U patent/CN206301520U/en not_active Expired - Fee Related
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Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| GR01 | Patent grant | ||
| GR01 | Patent grant | ||
| CF01 | Termination of patent right due to non-payment of annual fee | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20170704 Termination date: 20181205 |