CN204037165U - The drawing instrument of parameter curve - Google Patents
The drawing instrument of parameter curve Download PDFInfo
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- CN204037165U CN204037165U CN201420388130.2U CN201420388130U CN204037165U CN 204037165 U CN204037165 U CN 204037165U CN 201420388130 U CN201420388130 U CN 201420388130U CN 204037165 U CN204037165 U CN 204037165U
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Abstract
The utility model provides the drawing instrument of parameter curve, use the drawing instrument of this parameter curve, the drawing of hypocycloid, astroid, curve, the technique of painting of roulette, cardioid, epicycloid, ellipse and several curve of constant velocity spiral can be completed, the utility model structure is simple, lighter weight, be convenient for carrying, and can use on black pulling efficiently; Provide the method for drafting of many kinds of parameters curve, can reach QuickDraw, the object of accurately drawing, improves teaching efficiency greatly.
Description
Technical field
What the utility model was specifically related to is a kind of teaching aid, specifically the drawing instrument of parameter curve.
Background technology
At present, in mathematical education, especially higher mathematics and the teaching of correlation engineering section object, often relate to many parameter curves, and teachers can only take to give an oral account in teaching, the method for Freehandhand-drawing or multimedia overhead projector, and oral account can not bring to student and get information about; Drawing figure at blackboard left-hand seat must standard, and student easily misunderstands in the process of study; Projecting apparatus is used to be universal phenomenon in teaching, but simple sees curve map, student is difficult to the formation basic theory understanding curve, if have an instrument when imparting knowledge to students, curve plotting is started by student, can student be assisted more intuitively to understand various parameter curve, for above situation, design a kind of drawing tool of parameter curve.
Utility model content
The purpose of this utility model is for solving above-mentioned deficiency, provides the drawing instrument of parameter curve, thus realizes the drafting object completing relevant parameter curve fast.
The purpose of this utility model is achieved through the following technical solutions:
Provide the drawing instrument of parameter curve, provide hypocycloid drawing tool, interior toothholder is made up of straight-tooth and round tooth, the side of round tooth is connected with straight-tooth, be fixed on blackboard by four magnetic columns by interior toothholder, wherein two magnetic columns are pressed in the junction of straight-tooth and round tooth, and two other magnetic column is pressed in the opposite side of round tooth, external gear and round tooth are connected with a joggle, and chalk inserts in the chalk hole of external gear; Provide astroid drawing tool, interior toothholder is made up of straight-tooth and round tooth, the side of round tooth is connected with straight-tooth, by four magnetic columns, interior toothholder is fixed on blackboard, wherein two magnetic columns are pressed in the junction of straight-tooth and round tooth, two other magnetic column is pressed in the opposite side of round tooth, and 75 external gears and round tooth are connected with a joggle, and chalk inserts in the chalk hole of 75 external gears; Provide curve drawing tool, interior toothholder is made up of straight-tooth and round tooth, the side of round tooth is connected with straight-tooth, by four magnetic columns, interior toothholder is fixed on blackboard, wherein two magnetic columns are pressed in the junction of straight-tooth and round tooth, two other magnetic column is pressed in the opposite side of round tooth, and 200 external gears and round tooth are connected with a joggle, and chalk inserts in the chalk hole of 200 external gears; Provide roulette drawing tool, interior toothholder is made up of straight-tooth and round tooth, the side of round tooth is connected with straight-tooth, by four magnetic columns, interior toothholder is fixed on blackboard, wherein two magnetic columns are pressed in the junction of straight-tooth and round tooth, two other magnetic column is pressed in the opposite side of round tooth, and 100 external gears and straight-tooth are connected with a joggle, and chalk inserts the chalk hole of 100 external gears; Provide cardioid drawing tool, 100 external gear centers are provided with magnet opening, 100 external gears are fixed on blackboard by magnet opening by magnetic column, be called 100 fixing external gears, chalk inserts in the chalk hole of 100 external gears, another 100 external gear and 100 fixing external gears are connected with a joggle, chalk inserts in the chalk hole of another 100 external gear; Provide epicycloid drawing tool, 300 external gear centers are provided with magnet opening, and 300 external gears are fixed on blackboard by magnet opening by magnetic column, and chalk inserts in the chalk hole of 300 external gears, 100 external gears and 300 external gears are connected with a joggle, and chalk inserts in the chalk hole of 100 external gears; Provide elliptical drawing tool, two magnetic columns with certain distance to be fixed on blackboard and as focus, No. 8 nylon setline two ends are fixed on magnetic column, with chalk tensioning No. 8 nylon setlines; Provide constant velocity spiral drawing tool, magnetic column is fixed on blackboard, No. 8 nylon setline one end are fixed on magnetic column, No. 8 nylon setline other ends are around on chalk, chalk inserts in the chalk hole of 100 external gears, and with between chalk tensioning 100 external gear and magnetic column No. 8 nylon setline.
Wherein, described external gear comprises four kinds of models, i.e. 200 external gears, 100 external gears, 75 external gears and 300 external gears, the thickness of four kinds of model external gears is identical and be less than the thickness of outer toothholder, magnet opening is provided with at each external gear center, what each external gear two was vertical is diametrically provided with four chalk holes, and four chalk holes are respectively four/half path length, three/half path length, two/half path length and half path length to the distance at external gear center.
Wherein, the size of four kinds of described model external gears contains corresponding tooth pitch length.
Wherein, described magnetic column is made up of head and magnet bar, and head is provided with 1-shaped open.
The utility model has effect useful as follows: the utility model structure is simple, lighter weight, be convenient for carrying, and can use on blackboard efficiently; Provide the method for drafting of many kinds of parameters curve, this drawing instrument can be used to complete the drawing of hypocycloid, astroid, curve, roulette, several curve of outer outstanding wheel line, cardioid, ellipse and the constant velocity spiral of circle, reach QuickDraw, the object of accurate drawing, improves teaching efficiency greatly.
Accompanying drawing explanation
In order to be illustrated more clearly in the utility model embodiment or technical scheme of the prior art, be briefly described to the accompanying drawing used required in embodiment or description of the prior art below, apparently, accompanying drawing in the following describes is only embodiments more of the present utility model, to with those of ordinary skill in the art, under the prerequisite not paying creative work, other accompanying drawing can also be obtained according to these accompanying drawings.
200 external gears that Fig. 1 provides for this use new embodiment and 100 external gear structural representations;
The compages schematic diagram that Fig. 2 provides for the utility model embodiment;
The 300 external gear structural representations that Fig. 3 provides for the utility model embodiment;
Wherein, 1.200 external gears, 2.100 external gears, toothholder 3., 3.1. straight-tooth, 3.2. round tooth, 4. magnetic column, 5. annulus, No. 6.8 nylon setlines, 7.75 external gears, 8.300 external gears, 9. chalk hole, 10. magnet opening.
Detailed description of the invention
Below in conjunction with specific embodiment, such scheme is described further.Should to understand these embodiments be for illustration of the utility model instead of limit scope of the present utility model.The implementation condition adopted in embodiment can do further adjustment according to the condition of concrete producer, and not marked implementation condition is generally the condition in normal experiment.
Please refer to Fig. 1 to Fig. 3,200 external gears that Fig. 1 provides for the utility model embodiment and 100 external gear structural representations; The compages schematic diagram that Fig. 2 provides for the utility model embodiment; The 300 external gear structural representations that Fig. 3 provides for the utility model embodiment.
Embodiment 1
Provide the hypocycloidal technique of painting, interior toothholder 3 is made up of straight-tooth 3.1 and round tooth 3.2, the side of round tooth 3.2 is connected with straight-tooth 3.1, by four magnetic columns 4, interior toothholder 3 is fixed on blackboard, wherein two magnetic columns 4 are pressed in the junction of straight-tooth 3.1 and round tooth 3.2, two other magnetic column 4 is pressed in the opposite side of round tooth 3.2, external gear 2 and round tooth 3.1 are connected with a joggle, chalk is inserted in the chalk hole 9 of 100 external gears 2, mobile chalk, drive 100 external gears 2 to roll along interior toothholder 3 inside to circle, namely draw hypocycloid; Interior toothholder 3 radius is R, and the radius of 100 external gears 2 is r.The length that chalk hole 9 is d, r and d to the distance at the center of 100 external gears 2 of inner rolling is 1/3rd of R.
Embodiment 2
Provide the technique of painting of astroid, interior toothholder 3 is made up of straight-tooth 3.1 and round tooth 3.2, the side of round tooth 3.2 is connected with straight-tooth 3.1, by four magnetic columns 4, interior toothholder 3 is fixed on blackboard, wherein two magnetic columns 4 are pressed in the junction of straight-tooth 3.1 and round tooth 3.2, two other magnetic column 4 is pressed in the opposite side of round tooth 3.2,75 external gears 7 are connected with a joggle with round tooth 3.2, chalk is inserted in the chalk hole 9 of 75 external gears 7, mobile chalk, drive 75 external gears 7 to roll along interior toothholder 3 inside to circle, namely draw astroid; Interior toothholder 3 radius is R, and the radius of 75 external gears 7 is r, and the length that chalk hole 9 is d, r and d to the distance at the center of 75 external gears 7 of inner rolling is 1/4th of R.
Embodiment 3
Provide the technique of painting of curve, interior toothholder 3 is made up of straight-tooth 3.1 and round tooth 3.2, the side of round tooth 3.2 is connected with straight-tooth 3.1, by four magnetic columns 4, interior toothholder 3 is fixed on blackboard, wherein two magnetic columns 4 are pressed in the junction of straight-tooth 3.1 and round tooth 3.2, two other magnetic column 4 is pressed in the opposite side of round tooth 3.2,200 external gears 1 are connected with a joggle with round tooth 3.2, chalk is inserted in the chalk hole 9 of 200 external gears 1, mobile chalk, drive 200 external gears 1 to roll along interior toothholder 3 inside to circle, i.e. curve; Interior toothholder 3 radius is R, and the radius of 200 external gears 1 is the length of r, r is 2/3rds of R, and the length that chalk hole 9 is d, d to the distance at the center of 200 external gears 1 of inner rolling is 1/3rd of R.
Embodiment 4
Provide the technique of painting of roulette, interior toothholder 3 is made up of straight-tooth 3.1 and round tooth 3.2, the side of round tooth 3.2 is connected with straight-tooth 3.1, by four magnetic columns 4, interior toothholder 3 is fixed on black pulling, wherein two magnetic columns 4 are pressed in the junction of straight-tooth 3.1 and round tooth 3.2, two other magnetic column 4 is pressed in the opposite side of round tooth 3.2,100 external gears 2 are connected with a joggle with straight-tooth 3.1, chalk is inserted the chalk hole 9 of 100 external gears 2, mobile chalk, drive 100 external gears 2 to roll along straight-tooth 3.1 to circle, namely draw roulette; Use the external gear of different size to roll along straight-tooth 3.1, the roulette of different size can be drawn.
Embodiment 5
Provide the technique of painting of cardioid, 100 external gear 2 centers are provided with magnet opening 10,100 external gears 2 are fixed on blackboard by magnet opening 10 by magnetic column 4, be called 100 fixing external gears 2, chalk is inserted in the chalk hole 9 of 100 external gears 2, mobile chalk, drives 100 external gear 2 circular motion one circles, draws circle; Another 100 external gear 2 and 100 fixing external gears 2 are connected with a joggle, chalk are inserted in the chalk hole 9 of another 100 external gear 2, mobile chalk, drive another 100 external gear 2 to roll along 100 fixing external gears 2 and circle, namely draw cardioid; Use the external gear combination of different size, the cardioid of different size can be drawn.
Embodiment 6
Provide the epicycloidal technique of painting, 300 external gear 8 centers are provided with magnet opening 10,300 external gears 8 are fixed on blackboard by magnet opening 10 by magnetic column 4, are inserted by chalk in the chalk hole 9 of 300 external gears 8, mobile chalk, drive 300 external gear 8 circular motion one circles, draw circle: be connected with a joggle by 100 external gear 2 and 300 external gears 8, inserted by chalk in the chalk hole 9 of 100 external gears 2, mobile chalk, drive 100 external gears 2 to roll along 300 external gears 8 to circle, namely draw epicycloid; Use the external gear combination of different size, the cardioid of different size can be drawn.
Embodiment 7
Provide the oval technique of painting, to be fixed on by two magnetic columns 4 with certain distance on blackboard and as focus, No. 8 nylon setline 6 two ends are fixed on magnetic column 4, with chalk tensioning No. 8 nylon setlines 6, circular motion one encloses, and namely draws ellipse; By the length of the distance and No. 8 nylon setlines 6 that regulate two magnetic columns 4, the ellipse with size shape can be drawn.
Embodiment 8
Provide the technique of painting of constant velocity spiral, magnetic column 4 is fixed on blackboard, No. 8 nylon setline 6 one end are fixed on magnetic column 4, No. 8 nylon setline 6 other ends are around on chalk, chalk is inserted in the chalk hole 9 of 100 external gears 2, and with the another nylon setline 6 in 8 between chalk tensioning 100 external gear 2 and magnetic column 4, mobile chalk, drive 100 external gear 2 circular motion, namely draw constant velocity spiral; When using the external gear of different size, the constant velocity spiral of different size can be drawn.
Concrete, described external gear comprises four kinds of models, i.e. 200 external gear 1,100 external gear 2,75 external gear 7 and 300 external gears 8, the thickness of four kinds of model external gears is identical and be less than the thickness of outer toothholder, magnet opening 10 is provided with at each external gear center, what each external gear two was vertical is diametrically provided with four chalk holes 9, four chalk holes 9 are respectively four/half path length, three/half path length, two/half path length and half path length to the distance at external gear center, conveniently draw different parameter curves.
Further, the size of four kinds of described model external gears contains corresponding tooth pitch length, the actual size of external gear is greater than standard dimensions, compensate for external gear radius r, make four chalk holes 9 be respectively four/half path length, three/half path length, two/half path length and half path length to the distance at external gear center, make the parameter curve drawn be calibration curve.
Further, described magnetic column 4 is made up of head and magnet bar, and head is provided with 1-shaped open, and No. 8 nylon setlines 6 can be made to be fastened and fixed on magnetic column 4, and the length of bar equals the thick of outer toothholder 3, and is greater than the thickness of external gear, reaches the requirement of use.
Finally it should be noted that the restriction of above embodiment only for illustration of the technical solution of the utility model but not to the utility model guarantor expansion scope.Although be explained in detail the utility model with reference to preferred embodiment, those of ordinary skill in the art should be appreciated that and can modify to the technical solution of the utility model or equivalent replacement, and does not depart from essence and the scope of technical solutions of the utility model.
Claims (4)
1. the drawing instrument of parameter curve, it is characterized in that: provide hypocycloid drawing tool, interior toothholder (3) is made up of straight-tooth (3.1) and round tooth (3.2), the side of round tooth (3.2) is connected with straight-tooth (3.1), by four magnetic columns (4), interior toothholder (3) is fixed on blackboard, wherein two magnetic columns (4) are pressed in the junction of straight-tooth (3.1) and round tooth (3.2), two other magnetic column (4) is pressed in the opposite side of round tooth (3.2), external gear (2) and round tooth (3.1) are connected with a joggle, chalk inserts in the chalk hole (9) of 100 external gears (2), provide astroid drawing tool, interior toothholder (3) is made up of straight-tooth (3.1) and round tooth (3.2), the side of round tooth (3.2) is connected with straight-tooth (3.1), by four magnetic columns (4), interior toothholder (3) is fixed on blackboard, wherein two magnetic columns (4) are pressed in the junction of straight-tooth (3.1) and round tooth (3.2), two other magnetic column (4) is pressed in the opposite side of round tooth (3.2), 75 external gears (7) and round tooth (3.2) are connected with a joggle, chalk inserts in the chalk hole (9) of 75 external gears (7), provide curve drawing tool, interior toothholder (3) is made up of straight-tooth (3.1) and round tooth (3.2), the side of round tooth (3.2) is connected with straight-tooth (3.1), by four magnetic columns (4), by interior toothholder, (3 are fixed on blackboard, wherein (4 are pressed in straight-tooth (3.1 and round tooth (the junction of 3.2 for two magnetic columns, two other magnetic column (4) is pressed in the opposite side of round tooth (3.2), 200 external gears (1) and round tooth (3.2) are connected with a joggle, chalk inserts in the chalk hole (9) of 200 external gears (1), provide roulette drawing tool, interior toothholder (3) is made up of straight-tooth (3.1) and round tooth (3.2), the side of round tooth (3.2) is connected with straight-tooth (3.1), by four magnetic columns (4), interior toothholder (3) is fixed on blackboard, wherein two magnetic columns (4) are pressed in the junction of straight-tooth (3.1) and round tooth (3.2), two other magnetic column (4) is pressed in the opposite side of round tooth (3.2), 100 external gears (2) and straight-tooth (3.1) are connected with a joggle, chalk inserts the chalk hole (9) of 100 external gears (2), provide cardioid drawing tool, 100 external gears (2) center is provided with magnet opening (10), 100 external gears (2) are fixed on blackboard by magnet opening (10) by magnetic column (4), be called fixing 100 external gears (2), chalk inserts in the chalk hole (9) of 100 external gears (2), another 100 external gear (2) and fixing 100 external gears (2) are connected with a joggle, chalk inserts in the chalk hole (9) of another 100 external gear (2), provide epicycloid drawing tool, 300 external gears (8) center is provided with magnet opening (10), 300 external gears (8) are fixed on blackboard by magnet opening (10) by magnetic column (4), chalk inserts in the chalk hole (9) of 300 external gears (8), 100 external gears (2) and 300 external gears (8) are connected with a joggle, and chalk inserts in the chalk hole (9) of 100 external gears (2), provide elliptical drawing tool, two magnetic columns (4) with certain distance to be fixed on blackboard and as focus, No. 8 nylon setline (6) two ends are fixed on magnetic column (4), with chalk tensioning No. 8 nylon setlines (6), provide constant velocity spiral drawing tool, magnetic column (4) is fixed on blackboard, No. 8 nylon setline (6) one end are fixed on magnetic column (4), No. 8 nylon setline (6) other ends are around on chalk, chalk inserts in the chalk hole (9) of 100 external gears (2), and with No. 8 nylon setlines (6) between chalk tensioning 100 external gear (2) and magnetic column (4).
2. the drawing instrument of parameter curve as claimed in claim 1, it is characterized in that: described external gear comprises four kinds of models, i.e. 200 external gears (1), 100 external gears (2), 75 external gears (7) and 300 external gears (8), the thickness of four kinds of model external gears is identical and be less than the thickness of outer toothholder, be provided with magnet opening (10) at each external gear center, what each external gear two was vertical is diametrically provided with four chalk holes (9).
3. the drawing instrument of parameter curve as claimed in claim 1 or 2, is characterized in that: the size of four kinds of described model external gears contains corresponding tooth pitch length.
4. the drawing instrument of parameter curve as claimed in claim 1, is characterized in that: described magnetic column (4) is made up of head and magnet bar, and head is provided with 1-shaped open.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201420388130.2U CN204037165U (en) | 2014-07-08 | 2014-07-08 | The drawing instrument of parameter curve |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201420388130.2U CN204037165U (en) | 2014-07-08 | 2014-07-08 | The drawing instrument of parameter curve |
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| Publication Number | Publication Date |
|---|---|
| CN204037165U true CN204037165U (en) | 2014-12-24 |
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| Application Number | Title | Priority Date | Filing Date |
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| CN201420388130.2U Expired - Fee Related CN204037165U (en) | 2014-07-08 | 2014-07-08 | The drawing instrument of parameter curve |
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| CN (1) | CN204037165U (en) |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105799389A (en) * | 2016-04-26 | 2016-07-27 | 马立安 | Planetary gear mechanism for achieving four-leaf rose line drawing method |
| CN106764757A (en) * | 2016-12-09 | 2017-05-31 | 芜湖木木游乐设备有限公司 | Peach-shaped lamp is used in one kind amusement |
-
2014
- 2014-07-08 CN CN201420388130.2U patent/CN204037165U/en not_active Expired - Fee Related
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105799389A (en) * | 2016-04-26 | 2016-07-27 | 马立安 | Planetary gear mechanism for achieving four-leaf rose line drawing method |
| CN105799389B (en) * | 2016-04-26 | 2017-12-15 | 中国石油大学胜利学院 | Realize the planetary gears of the quadrifolium technique of painting |
| CN106764757A (en) * | 2016-12-09 | 2017-05-31 | 芜湖木木游乐设备有限公司 | Peach-shaped lamp is used in one kind amusement |
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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 | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20141224 Termination date: 20210708 |