CN206379074U - A kind of device for mathematical education - Google Patents
A kind of device for mathematical education Download PDFInfo
- Publication number
- CN206379074U CN206379074U CN201621331051.3U CN201621331051U CN206379074U CN 206379074 U CN206379074 U CN 206379074U CN 201621331051 U CN201621331051 U CN 201621331051U CN 206379074 U CN206379074 U CN 206379074U
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- pin joint
- angle
- distance
- bar strip
- connector
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Abstract
The utility model is related to a kind of device for mathematical education, including two arm of angle bar strips, two are flexibly connected bar strip and an angle bisection guiding bar strip, angle bisection is oriented to bar strip and is provided with a guide chute, one end that one end of arm of angle bar strip is oriented to bar strip with angle bisection is articulated with pin joint C by connector, the other end of arm of angle bar strip is hingedly connected to pin joint B, pin joint D with being flexibly connected one end of bar strip by connector, and the other end for being flexibly connected bar strip is articulated with after pin joint A by connector and is slideably fastened on by connector in guide chute；The distance between pin joint C, D CD is equal to the distance between the distance between pin joint C, B CB, pin joint D, A DA and is equal to the distance between pin joint B, A BA.Using the utility model, the checking and demonstration of the theorems such as the property of angle bisection can be easily realized, it is easy, quality-high and inexpensive that this utility model makes simple, materials；Simple to operate, effect is obvious.
Description
Technical field
The utility model is related to cultural goods field, more particularly to a kind of device for mathematical education.
Background technology
Geometry in Junior Mathematics partly belongs to the difficult point and emphasis of Junior Mathematics.For the first of first contacts geometrical learning
Middle lifes, well generally can not build the related notion of geometric figure in the brain, therefore, can demonstrate each by a
The demonstration teaching aid of theorem is planted, beginner can be facilitated to understand and establish geometrical concept, and leave deep impression.
The content of the invention
The purpose of this utility model is：For real deficiency, the utility model proposes a kind of dress for mathematical education
Put.
The technical solution adopted in the utility model is：
A kind of device for mathematical education, including two arm of angle bar strips, two are flexibly connected bar strip and an angle bisection
Bar strip is oriented to, the angle bisection is oriented to bar strip and is provided with a guide chute, and one end and the angle bisection of the arm of angle bar strip are led
To one end of bar strip pin joint C is articulated with by connector, the other end of the arm of angle bar strip and the bar strip that is flexibly connected
One end is hingedly connected to pin joint B, pin joint D by connector, and the other end of the flexible connection bar strip is cut with scissors by connector
It is connected to after pin joint A and is slideably fastened in the guide chute by the connector；Between described pin joint C, D away from
It is equal to the distance between the distance between pin joint C, B CB, pin joint D, A DA from CD and is equal to the distance between pin joint B, A BA.
This technical scheme can be used in angle being halved or detected whether drawn angular bisector is correct, when needing detection, by C points
Overlapped with the summit at angle, CD, CB are overlapped with the both sides at angle, now bisector of angle is exactly the straight line where CA.
In such scheme, the guide chute is from pin joint C one end farther out with being at least pin joint with a distance from pin joint C
The distance between the distance between C, D CD and pin joint D, A DA's and.Opening up for guide chute will at least guarantee to detect
0 ° of angular bisector：When the angle for needing to detect is 0 °, whole device is straight line, and pin joint A is past in guide chute
From one end movements of pin joint C farther out, now to guarantee to detect 0 ° of this limiting value, guide chute from pin joint C compared with
Remote one end and pin joint C distance are at least CD+DA position.
In such scheme, the distance between described pin joint D, A DA are more than or equal to the distance between pin joint C, D CD.
Guarantee to measure 0 ° -180 ° all acute angles and obtuse angle, the angular bisector at even 180 ° -360 ° of angles.
In such scheme, guide chute one end nearer from pin joint C is with being at most (DA^2- with a distance from pin joint C
CD^2) evolution.Under normal circumstances, the angle in mathematical definition is 0 ° -180 °, without surveying the angle in the range of 180 ° -360 °.When need
When the angle to be surveyed is 180 ° to the maximum, at least to ensure that pin joint A can slide into the position that angle DCB is 180 ° in guide chute
Put, now D, C, B are conllinear, and DA=BA is isosceles triangle, now triangle CDA is right angled triangle, and guide chute 4 is from hinge
One end nearer contact C and pin joint C distance are at most
In such scheme, guide chute one end nearer from pin joint C is with being at most DA-CD with a distance from pin joint C.
When pin joint A points, which continue past one end nearer from pin joint C, to be moved, angle becomes greater than 180 ° of angle, if to ensure to survey
The angular bisector at the angle in the range of to 180 ° -360 °, when the angle for needing to survey is 360 ° to the maximum, will at least ensure pin joint A
The position that angle DCB is 360 ° can be slided into guide chute, now B, C, D are conllinear, CA=DA-CD, when the side for continuing past C points
To during movement, pin joint A is moved motionless or is reversely deviated from pin joint C movements, so the one end nearer from pin joint C of guide chute 4
Distance with pin joint C is at most DA and CD difference.
In such scheme, in addition to two graduated scales, one end of the graduated scale is articulated with after pin joint E by connector
Slideably it is fastened in the guide chute by the connector.It is easy to the theorem " point on angular bisector, to angle two of imparting knowledge to students
The distance on side is equal ", " distance of point to straight line and checking ' vertical line section most short ' ".
In such scheme, the length that the graduation mark of the graduated scale can be represented is at least between described pin joint D, A
Apart from DA.When D, A are the vertical line section on the point to angular bisector on angular bisector, now require that graduated scale at least should be ensured that energy
Enough read D, A length.
In such scheme, the graduated scale is transparent scale chi.Convenient accurately observation graduation mark whether with straight line, angle
Side is overlapped.
In such scheme, the angle bisection is oriented on bar strip and is provided with graduation mark.Convenient 30 ° of triangle of demonstration to it is straight
The arm of angle for 90 ° to the half of hypotenuse when, it will be seen that the length of the hypotenuse.
In such scheme, the connector is the stud and nut or the screw bolt and nut of supporting connection of supporting connection.Can
Dismounting, can be hinged, can also screw fixation.
To sum up, by adopting the above-described technical solution, the beneficial effects of the utility model are：
Using the utility model, it can demonstrate and any one angle is halved, " the point on angular bisector, to angle is observed
The distance on both sides is equal ", check student whether can right metric point to the distance of straight line and checking " vertical line section is most short "；Together
When, the unstability of quadrangle and the stability of triangle can also be demonstrated.The making of this utility model is simple, materials are easy,
It is quality-high and inexpensive；Simple to operate, effect is obvious.
Brief description of the drawings
Fig. 1 is the structural representation of the utility model embodiment 1；
Fig. 2 is the structural representation of the utility model embodiment 6；
Marked in figure：1- arm of angle bar strips, 1-1- arm of angle bar strips, 1-2- arm of angle bar strips, 2- is flexibly connected bar strip, 2-1- activities
Bar strip is connected, 2-2- is flexibly connected bar strip, and 3- angle bisections are oriented to bar strip, 4- guide chutes, 5- graduated scales, 5-1- graduated scales, 5-
2- graduated scales.
Embodiment
In order that the purpose of this utility model, technical scheme and advantage are more clearly understood, below in conjunction with accompanying drawing and implementation
Example, the utility model is further elaborated.It should be appreciated that specific embodiment described herein is only to explain this
Utility model, is not used to limit the utility model.All features disclosed in this specification, except mutually exclusive feature
And/or beyond step, can combine in any way.
Embodiment 1
Such as Fig. 1, a kind of device for mathematical education, including 1-1,1-2, two flexible connection bar strips of two arm of angle bar strips
2-1,2-2 and an angle bisection are oriented to bar strip 3, and angle bisection is oriented to bar strip 3 and is provided with a guide chute 4, the arm of angle bar strip 1-1,1-2
One end and angle bisection be oriented to one end of bar strip 3 pin joint C, the arm of angle bar strip 1-1, the 1-2 other end be articulated with by connector
Pin joint B, pin joint D are hingedly connected to being flexibly connected bar strip 2-1,2-2 one end by connector, bar strip 2- is flexibly connected
1, the 2-2 other end is articulated with after pin joint A by connector and is slideably fastened in guide chute 4 by connector；Hinge
The distance between contact C, D CD is equal to the distance between the distance between pin joint C, B CB, pin joint D, A DA and is equal to pin joint
The distance between B, A BA.This technical scheme can be used in angle being halved or detected whether drawn angular bisector is correct, when
When needing detection, C points are overlapped with the summit at angle, CD, CB are overlapped with the both sides at angle, where now bisector of angle is exactly CA
Straight line.In this technical scheme, if CD is more than DA, the angle being able to verify that is only less than the segment angle in the range of 180 °；If CD be less than or
Equal to DA, any angle in the range of 0 ° -360 ° of the angle being able to verify that.
Embodiment 2
A kind of device for mathematical education, including two arm of angle bar strips 1-1,1-2, two are flexibly connected bar strip 2-1,2-
2 and angle bisection be oriented to bar strip 3, angle bisection is oriented to bar strip 3 and is provided with a guide chute 4, the arm of angle bar strip 1-1,1-2 one end
One end of bar strip 3, which is oriented to, with angle bisection by connector is articulated with pin joint C, the arm of angle bar strip 1-1, the 1-2 other end and activity
Connection bar strip 2-1,2-2 one end are hingedly connected to pin joint B, pin joint D by connector, are flexibly connected bar strip 2-1,2-2
The other end be articulated with after pin joint A and be slideably fastened in guide chute 4 by connector by connector；Pin joint C,
The distance between D CD are equal to the distance between the distance between pin joint C, B CB, pin joint D, A DA and are equal between pin joint B, A
Apart from BA.Guide chute 4 is from pin joint C one end farther out with being at least the distance between pin joint C, D with a distance from pin joint C
The distance between CD and pin joint D, A DA sums.Opening up for guide chute will at least guarantee the angular bisector for detecting 0 °：
When the angle for needing to detect is 0 °, whole device is straight line, pin joint A in guide chute it is past from pin joint C farther out
One end movement, now to guarantee to detect 0 ° of this limiting value, guide chute is from pin joint C one end farther out with being hinged
Point C distance is at least CD+DA position.
Embodiment 3
A kind of device for mathematical education, including two arm of angle bar strips 1-1,1-2, two are flexibly connected bar strip 2-1,2-
2 and angle bisection be oriented to bar strip 3, angle bisection is oriented to bar strip 3 and is provided with a guide chute 4, the arm of angle bar strip 1-1,1-2 one end
One end of bar strip 3, which is oriented to, with angle bisection by connector is articulated with pin joint C, the arm of angle bar strip 1-1, the 1-2 other end and activity
Connection bar strip 2-1,2-2 one end are hingedly connected to pin joint B, pin joint D by connector, are flexibly connected bar strip 2-1,2-2
The other end be articulated with after pin joint A and be slideably fastened in guide chute 4 by connector by connector；Pin joint C,
The distance between D CD are equal to the distance between the distance between pin joint C, B CB, pin joint D, A DA and are equal between pin joint B, A
Apart from BA.The distance between pin joint D, A DA is more than or equal to the distance between pin joint C, D CD.Guarantee to measure 0 °-
180 ° of all acute angles and obtuse angle, the angular bisector at even 180 ° -360 ° of angles.
Embodiment 4
A kind of device for mathematical education, including two arm of angle bar strips 1-1,1-2, two are flexibly connected bar strip 2-1,2-
2 and angle bisection be oriented to bar strip 3, angle bisection is oriented to bar strip 3 and is provided with a guide chute 4, the arm of angle bar strip 1-1,1-2 one end
One end of bar strip 3, which is oriented to, with angle bisection by connector is articulated with pin joint C, the arm of angle bar strip 1-1, the 1-2 other end and activity
Connection bar strip 2-1,2-2 one end are hingedly connected to pin joint B, pin joint D by connector, are flexibly connected bar strip 2-1,2-2
The other end be articulated with after pin joint A and be slideably fastened in guide chute 4 by connector by connector；Pin joint C,
The distance between D CD are equal to the distance between the distance between pin joint C, B CB, pin joint D, A DA and are equal between pin joint B, A
Apart from BA.The one end nearer from pin joint C of guide chute 4 is with being at most (DA^2-CD^2) evolution with a distance from pin joint C.It is logical
In the case of often, the angle in mathematical definition is 0 ° -180 °, without surveying the angle in the range of 180 ° -360 °.When need survey angle most
At greatly 180 °, at least to ensure that pin joint A can slide into the position that angle DCB is 180 ° in guide chute, now D, C, B are common
Line, DA=BA is isosceles triangle, and now triangle CDA is right angled triangle, the one end nearer from pin joint C of guide chute 4
Distance with pin joint C is at most
Embodiment 5
A kind of device for mathematical education, including two arm of angle bar strips 1-1,1-2, two are flexibly connected bar strip 2-1,2-
2 and angle bisection be oriented to bar strip 3, angle bisection is oriented to bar strip 3 and is provided with a guide chute 4, the arm of angle bar strip 1-1,1-2 one end
One end of bar strip 3, which is oriented to, with angle bisection by connector is articulated with pin joint C, the arm of angle bar strip 1-1, the 1-2 other end and activity
Connection bar strip 2-1,2-2 one end are hingedly connected to pin joint B, pin joint D by connector, are flexibly connected bar strip 2-1,2-2
The other end be articulated with after pin joint A and be slideably fastened in guide chute 4 by connector by connector；Pin joint C,
The distance between D CD are equal to the distance between the distance between pin joint C, B CB, pin joint D, A DA and are equal between pin joint B, A
Apart from BA.The one end nearer from pin joint C of guide chute 4 is with being at most DA-CD with a distance from pin joint C.When pin joint A points after
When continuing past nearer from pin joint C one end movement, angle becomes greater than 180 ° of angle, if to ensure to measure 180 ° of -360 ° of models
The angular bisector at the angle in enclosing, when the angle for needing to survey is 360 ° to the maximum, will at least ensure pin joint A energy in guide chute
The position that angle DCB is 360 ° is enough slided into, now B, C, D are conllinear, CA=DA-CD, when continuing to move toward the direction of C points, be hinged
Point A moves motionless or reversely away from pin joint C movements, thus the one end nearer from pin joint C of guide chute 4 and pin joint C away from
From the difference for being at most DA and CD.
Embodiment 6
Such as Fig. 2, on the basis of any of the above technical scheme, in addition to two graduated scales 5-1,5-2, graduated scale 5-1,5-
2 one end is articulated with after pin joint E by connector and is slideably fastened in guide chute 4 by connector.
When imparting knowledge to students " distance on point to the both sides at angle on angular bisector is equal ", pin joint C is overlapped with the summit at angle,
CD, CB are overlapped with the both sides at angle, are rotated two graduated scales, the graduation mark on graduated scale is overlapped with the both sides at angle, observe two scales
Whether the scale on chi is equal；Then the slip scale chi in chute, then observed and verified in aforementioned manners.
Teaching point to straight line apart from when, by graduated scale and vertical, the distance of point of observation to straight line in any one side；So
Afterwards, graduated scale is moved left and right, reads the numerical value under different situations；It will be observed that value is compared, so as to draw a conclusion；
The length of vertical line section and oblique line section can be measured simultaneously, drawn " vertical line section is most short " so as to compare.
Embodiment 7
On the basis of embodiment 6, the length that the graduation mark of graduated scale can be represented be at least between pin joint D, A away from
From DA.When D, A are the vertical line section on the point to angular bisector on angular bisector, now requiring that graduated scale at least should be ensured that can
Read D, A length.
Embodiment 8
On the basis of embodiment 6, graduated scale is transparent scale chi.Transparent scale chi is preferred embodiment, when at teaching " angle
Point on bisector, the distance to angle both sides is equal " " distance of point to straight line and checking ' vertical line section most short ' " when, it is convenient high
Observe to precision whether graduation mark overlaps with straight line, the arm of angle.Graduated scale is not that the embodiment of transparent scale chi falls into embodiment 6
Within protection domain.
Embodiment 9
On the basis of embodiment 1, angle bisection is oriented on bar strip 3 and is provided with graduation mark.When graduated scale and arm of angle bar strip hang down
Directly, when arm of angle bar strip and angle bisection are oriented to bar strip into 30 °, convenient 30 ° of triangle of demonstration to right-angle side for 90 ° to hypotenuse
Half when, it will be seen that the length of the hypotenuse.
Embodiment 10
On the basis of embodiment 1, connector is the stud and nut or the screw bolt and nut of supporting connection of supporting connection.
The stud and nut of supporting connection or the screw bolt and nut of supporting connection, detachably, can be hinged, can also screw fixation.
In the stability for triangle of imparting knowledge to students, by the nut at pin joint A, triangular pattern is just secured；And on four sides of imparting knowledge to students
During the unstability of shape, the nut at pin joint A need to only be unscrewed, sided figure can be carried out different changes.It is supporting
The stud and nut of connection or the screw bolt and nut of supporting connection are preferred embodiment of the present utility model, in addition there is phase
With can be hinged, the connector that can screw function fallen into the range of other embodiment.
In the stability for triangle of imparting knowledge to students, by the nut at pin joint A, triangular pattern is just secured；And
During the unstability of teaching quadrangle, the nut at pin joint A need to only be unscrewed, sided figure can be carried out different changes
Change.
Preferred embodiment of the present utility model is these are only, it is all in this practicality not to limit the utility model
Any modifications, equivalent substitutions and improvements made within new spirit and principle etc., should be included in guarantor of the present utility model
Within the scope of shield.
Claims (10)
1. a kind of device for mathematical education, it is characterised in that including two arm of angle bar strips (1-1,1-2), two activities are even
Extension bar bar (2-1,2-2) and an angle bisection are oriented to bar strip (3), and the angle bisection is oriented to bar strip (3) and is provided with a guide chute
(4) one end that, one end of the arm of angle bar strip (1-1,1-2) is oriented to bar strip (3) with the angle bisection is articulated with by connector
Pin joint C, the other end of the arm of angle bar strip (1-1,1-2) passes through even with described one end for being flexibly connected bar strip (2-1,2-2)
Fitting is hingedly connected to pin joint B, pin joint D, and the other end of the flexible connection bar strip (2-1,2-2) is hinged by connector
It is interior in being slideably fastened on the guide chute (4) by the connector after pin joint A；Between described pin joint C, D
It is equal to the distance between the distance between pin joint C, B CB, pin joint D, A DA apart from CD and is equal to the distance between pin joint B, A
BA。
2. a kind of device for mathematical education as claimed in claim 1, it is characterised in that the guide chute (4) is from hinge
Contact C one end farther out and pin joint C distance be at least between the distance between pin joint C, D CD and pin joint D, A away from
From DA sums.
3. a kind of device for mathematical education as claimed in claim 1, it is characterised in that between described pin joint D, A
It is more than or equal to the distance between pin joint C, D CD apart from DA.
4. a kind of device for mathematical education as claimed in claim 3, it is characterised in that the guide chute (4) is from hinge
One end nearer contact C and pin joint C distance are at most
5. a kind of device for mathematical education as claimed in claim 3, it is characterised in that the guide chute (4) is from hinge
One end nearer contact C and pin joint C distance are at most DA and CD difference.
6. a kind of device for mathematical education as described in claim 1-5 any claims, it is characterised in that also include
Two graduated scales (5-1,5-2), one end of the graduated scale (5-1,5-2) is articulated with after pin joint E by institute by connector
Connector is stated slideably to be fastened in the guide chute (4).
7. a kind of device for mathematical education as claimed in claim 6, it is characterised in that the graduation mark institute of the graduated scale
The length that can be represented is at least the distance between described pin joint D, A DA.
8. a kind of device for mathematical education as claimed in claim 6, it is characterised in that the graduated scale is transparent scale
Chi.
9. a kind of device for mathematical education as claimed in claim 1, it is characterised in that the angle bisection is oriented to bar strip
(3) graduation mark is provided with.
10. a kind of device for mathematical education as claimed in claim 1, it is characterised in that the connector is supporting company
The stud and nut or the screw bolt and nut of supporting connection connect.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201621331051.3U CN206379074U (en) | 2016-12-07 | 2016-12-07 | A kind of device for mathematical education |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201621331051.3U CN206379074U (en) | 2016-12-07 | 2016-12-07 | A kind of device for mathematical education |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN206379074U true CN206379074U (en) | 2017-08-04 |
Family
ID=59406028
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201621331051.3U Expired - Fee Related CN206379074U (en) | 2016-12-07 | 2016-12-07 | A kind of device for mathematical education |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN206379074U (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN106448357A (en) * | 2016-12-07 | 2017-02-22 | 泸县奇峰镇学校 | Device for mathematics teaching |
-
2016
- 2016-12-07 CN CN201621331051.3U patent/CN206379074U/en not_active Expired - Fee Related
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN106448357A (en) * | 2016-12-07 | 2017-02-22 | 泸县奇峰镇学校 | Device for mathematics teaching |
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| Date | Code | Title | Description |
|---|---|---|---|
| GR01 | Patent grant | ||
| GR01 | Patent grant | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20170804 Termination date: 20171207 |
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| CF01 | Termination of patent right due to non-payment of annual fee |