CN203727057U - Tangent and cotangent function curve auxiliary drawing instrument - Google Patents
Tangent and cotangent function curve auxiliary drawing instrument Download PDFInfo
- Publication number
- CN203727057U CN203727057U CN201420122696.0U CN201420122696U CN203727057U CN 203727057 U CN203727057 U CN 203727057U CN 201420122696 U CN201420122696 U CN 201420122696U CN 203727057 U CN203727057 U CN 203727057U
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- disk
- tangent
- pulley
- function curve
- slide plate
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Abstract
The utility model provides a tangent and cotangent function curve auxiliary drawing instrument, which comprises a drawing plate (1). The tangent and cotangent function curve auxiliary drawing instrument is characterized in that: a sliding plate (2) is arranged on the upper surface of the drawing plate (1); a left sliding slot (3) and a right sliding slot (4) are respectively formed at the left and right sides of the sliding plate (2); the left sliding slot (3) and the right sliding slot (4) are parallel to each other at the vertical direction; a round disk (5) is arranged between the left sliding slot (3) and the right sliding slot (4); a pulley (6) is arranged right above the center of the round disk (5); a rocker arm (7) is arranged above the right side of the center of external periphery of the round disk (5); a left driving rope (8) and a right driving rope (9) are wound on the round disk (5). Through the tangent and cotangent function curve auxiliary drawing instrument, a movable pulley and a unit circle are skillfully combined so as to draw the tangent and cotangent trigonometric function curve; the characteristics of the movably pulley in physics are used, and the concepts of the tangent and cotangent function in mathematics are related to; through the drawing instrument, users have intuitive cognition on the tangent and cotangent trigonometric function curve.
Description
Technical field
The utility model belongs to education Instrument technology field, specifically just relates to the auxiliary drawing instrument of a kind of tangent cotangent function curve, has accelerated tangent cotangent function curve mapping speed in classroom instruction process, has improved mapping precision.
Background technology
In study trigonometric function, teacher need to draw corresponding trigonometric function curve on classroom, by function curve, function is showed intuitively.It is more difficult will drawing accurately trigonometric function curve, and the manual trace-point method of traditional employing is mapped, and the function curve diagram that this method is made is not very accurate.Now a lot of teachers map by computer on classroom, but the process of the general not reflection of the drawing that computer draws mapping, cannot allow student have deep understanding to the essence connotation of function curve, and will could see to everybody by projector, operate also cumbersome.Therefore, how on blackboard, to make accurate trigonometric function curve, just need to make the special-purpose drawing tool of each class function.
Utility model content
The purpose of this utility model is exactly for existing teaching process intermediate cam function curve diagram, especially tangent cotangent function curve diagram is when making of existing scale or manual trace-point method mapping inaccuracy, the schematic diagram of computer manufacture cannot allow the clear understanding of student mapping process, the defect that the trigonometric function especially making of tangent cotangent function curve be there is no to visual understanding, a kind of auxiliary drawing instrument of tangent cotangent function curve is provided, not only can react accurately the mapping process of tangent cotangent function curve diagram, can allow student have visual understanding can deepen the understanding that student reads functional arrangement simultaneously, improved the speed of mapping, reduced the cost of scale.
Technical scheme
In order to realize above-mentioned technical purpose, the utility model is that the definition of set that meets the countless moving point of respective function is started with from curve, and moving point on tangent cotangent function curve has following two features: first it is the point on unit circle tangent line; Secondly, its transverse shifting is that the radian number rotating according to unit circle determines.
Therefore will design tangent cotangent function construction instrument must solve following two technical problems:
The first, when unit circle rotates, transverse shifting must meet the radian number of rotation;
The second, the movement of tangent line is consistent with unit circle, and remains tangent with unit circle.According to this utility model thinking, as shown in Figure 1, the curve of tangent tg α is exactly the movement locus that moving some P point is fastened at rectangular co-ordinate in fact.Circle O is unit circle, and P point is the intersection point of the tangent line JP of hypotenuse OP and unit circle.So the length of JP is the value in rectangular co-ordinate Y-axis, namely the value of tg α.Therefore the utility model designs the auxiliary drawing instrument of a kind of tangent cotangent function curve, it comprises drawing board, it is characterized in that: described drawing board upper surface is provided with one slide-plate, slide plate can slidably reciprocate in drawing board upper surface horizontal direction, slide plate the right and left is respectively equipped with left chute and right rail, described left chute and right rail are parallel to each other at vertical direction, between described left chute and right rail, be provided with disk, disc centre and slide plate center superposition, described disk is fixed on slide plate, described disk is tangent with left chute and right rail respectively, directly over circle disk center, locate to be provided with pulley, pulley is contained on slide plate, pulley is positioned on the slide plate outside disk, on described round outer edge surface, rocking arm is equipped with in top, right side, the center of circle, rocking arm is provided with chute, rocking arm can rotate along with disk, in rocking arm rotation process, can intersect with left chute or right rail, on described disk, be wound with left drive wire and right drive wire, left drive wire and right drive wire one end are fixed on disk outer rim point place, below corresponding to disc centre, the left drive wire other end is walked around on the left stiff end that pulley is connected to the pulley left side, the right drive wire other end is walked around on the right stiff end that pulley is connected to pulley the right, described left stiff end and right stiff end are installed on drawing board.
Further, described left stiff end, pulley and right stiff end center are on same level straight line.
Further, described slide plate is arranged on drawing board by slider guide.
The using method of the auxiliary drawing instrument of above-mentioned tangent cotangent function curve, is characterized in that, it comprises following step:
The first step, is placed on horizontal level by rocking arm;
Second step is loaded onto the pen of drawing in the chute of rocking arm and right rail intersection;
The 3rd step, rotates counterclockwise rocking arm, and the pen that makes to draw is made tan image;
The 4th step, pulls down rocking arm to install to take after the disk opposite side that the center of circle is symmetric points and repeats said process, and the pen that makes to draw is made cotangent functional image.
Beneficial effect
The utility model is by a device that comprises movable pulley and unit circle, movable pulley and unit circle are combined dexterously, complete the mapping of tangent cotangent trigonometric function curve, both used the characteristic of the movable pulley in physics subject, related to again the concept of tangent cotangent function in Mathematics Discipline; Simultaneously this drawing instrument has also had understanding more intuitively to tangent and cotangent trigonometric function and curve.
Accompanying drawing explanation
Accompanying drawing 1 is that tan and unit circle are related to schematic diagram.
Accompanying drawing 2 is structural representations of the present utility model.
The specific embodiment
Below in conjunction with drawings and Examples, the utility model is described further.
Embodiment
As shown in Figure 2, a kind of tangent cotangent function curve is assisted drawing instrument, it comprises drawing board 1, it is characterized in that: described drawing board 1 upper surface is provided with one slide-plate 2, slide plate 2 can slidably reciprocate in drawing board 1 upper surface horizontal direction, slide plate 2 the right and lefts are respectively equipped with left chute 3 and right rail 4, described left chute 3 and right rail 4 are parallel to each other at vertical direction, between described left chute 3 and right rail 4, be provided with disk 5, disk 5 centers and slide plate 2 center superpositions, described disk 5 is fixed on slide plate 2, described disk 5 is tangent with left chute 3 and right rail 4 respectively, disk locates to be provided with pulley 6 directly over 5 centers of circle, pulley 6 is contained on slide plate 2, pulley 6 is positioned on the slide plate 2 outside disk 5, on described disk 5 outer edge surfaces, rocking arm 7 is equipped with in top, right side, the center of circle, rocking arm 7 is provided with chute 701, rocking arm 7 can rotate along with disk 5, in rocking arm 7 rotation processes, can intersect with left chute 3 or right rail 4, on described disk 5, be wound with left drive wire 8 and right drive wire 9, left drive wire 8 and right drive wire 9 one end are fixed on disk outer rim point place, below corresponding to disk 5 centers, left drive wire 8 other ends are walked around on the left stiff end 10 that pulley 6 is connected to pulley 6 left sides, right drive wire 9 other ends are walked around on the right stiff end 11 that pulley 6 is connected to pulley 6 the right, described left stiff end 10 and right stiff end 11 are installed on drawing board 1
Further, described left stiff end 10, pulley 6 and right stiff end 11 centers are on same level straight line.
Further, described slide plate 2 is arranged on drawing board 1 by slider guide 12.
The using method of the auxiliary drawing instrument of above-mentioned tangent cotangent function curve, is characterized in that, it comprises following step:
The first step, is placed on horizontal level by rocking arm 7;
Second step is loaded onto the pen of drawing in the chute 701 of rocking arm 7 and right rail 4 intersections;
The 3rd step, rotates counterclockwise rocking arm 7, and the pen that makes to draw is made tan image;
The 4th step, pulls down rocking arm to install to take after the disk opposite side that the center of circle is symmetric points and repeats said process, and the pen that makes to draw is made cotangent functional image.
The utility model is by a device that comprises movable pulley and unit circle, movable pulley and unit circle are combined dexterously, complete the mapping of tangent cotangent trigonometric function curve, both used the characteristic of the movable pulley in physics subject, related to again the concept of tangent cotangent function in Mathematics Discipline; Simultaneously this drawing instrument has also had understanding more intuitively to tangent and cotangent trigonometric function and curve.
Claims (3)
1. a tangent cotangent function curve is assisted drawing instrument, it comprises drawing board (1), it is characterized in that: described drawing board (1) upper surface is provided with one slide-plate (2), slide plate (2) can slidably reciprocate in drawing board (1) upper surface horizontal direction, slide plate (2) the right and left is respectively equipped with left chute (3) and right rail (4), described left chute (3) and right rail (4) are parallel to each other at vertical direction, between described left chute (3) and right rail (4), be provided with disk (5), disk (5) center and slide plate (2) center superposition, described disk (5) is fixed on slide plate (2), described disk (5) is tangent with left chute (3) and right rail (4) respectively, disk (5) locates to be provided with pulley (6) directly over the center of circle, pulley (6) is contained on slide plate (2), pulley (6) is positioned on the outer slide plate (2) of disk (5), on described disk (5) outer edge surface, rocking arm (7) is equipped with in top, right side, the center of circle, rocking arm (7) is provided with chute (701), rocking arm (7) can rotate along with disk (5), in rocking arm (7) rotation process, can intersect with left chute (3) or right rail (4), on described disk (5), be wound with left drive wire (8) and right drive wire (9), left drive wire (8) and right drive wire (9) one end are fixed on disk outer rim point place, below corresponding to disk (5) center, left drive wire (8) other end is walked around on the left stiff end (10) that pulley (6) is connected to pulley (6) left side, right drive wire (9) other end is walked around on the right stiff end (11) that pulley (6) is connected to pulley (6) the right, described left stiff end (10) and right stiff end (11) are installed on drawing board (1).
2. the auxiliary drawing instrument of a kind of tangent cotangent function curve as claimed in claim 1, is characterized in that: described left stiff end (10), pulley (6) and right stiff end (11) center are on same level straight line.
3. the auxiliary drawing instrument of a kind of tangent cotangent function curve as claimed in claim 1, is characterized in that: described slide plate (2) is arranged on drawing board (1) by slider guide (12).
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201420122696.0U CN203727057U (en) | 2014-03-18 | 2014-03-18 | Tangent and cotangent function curve auxiliary drawing instrument |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201420122696.0U CN203727057U (en) | 2014-03-18 | 2014-03-18 | Tangent and cotangent function curve auxiliary drawing instrument |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN203727057U true CN203727057U (en) | 2014-07-23 |
Family
ID=51197160
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201420122696.0U Expired - Fee Related CN203727057U (en) | 2014-03-18 | 2014-03-18 | Tangent and cotangent function curve auxiliary drawing instrument |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN203727057U (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104332085A (en) * | 2014-11-25 | 2015-02-04 | 南京工业职业技术学院 | Anti-tangent, cotangent, secant and cosecant function demonstrating and graph drawing instrument |
-
2014
- 2014-03-18 CN CN201420122696.0U patent/CN203727057U/en not_active Expired - Fee Related
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104332085A (en) * | 2014-11-25 | 2015-02-04 | 南京工业职业技术学院 | Anti-tangent, cotangent, secant and cosecant function demonstrating and graph drawing instrument |
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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: 20140723 Termination date: 20150318 |
|
| EXPY | Termination of patent right or utility model |