CN204463592U - Sin cos functions Curve transform Teaching instrument - Google Patents
Sin cos functions Curve transform Teaching instrument Download PDFInfo
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- CN204463592U CN204463592U CN201420242390.9U CN201420242390U CN204463592U CN 204463592 U CN204463592 U CN 204463592U CN 201420242390 U CN201420242390 U CN 201420242390U CN 204463592 U CN204463592 U CN 204463592U
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- sin cos
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Abstract
The present utility model object is to provide a kind of sin cos functions Curve transform Teaching instrument, for demonstrating trigonometric function relation, carries out perceptual knowledge to help student to trigonometric function.This Teaching instrument comprises one piece of fixed head and one block slidably plate, fixed head is drawn and has rectangular coordinate system and scale value and scale mark; Slidably plate is fixed with trigonometric function curve map.By translation slidably plate corresponding unit, the conversion between demonstration sin cos functions curve, realizes the understanding to trigonometric function and study.The scale drawn is convenient to mapping and is used, and the Teaching instrument back side is drawn general conventional rule and formula, is convenient to Students ' Learning.This Teaching instrument is applicable to the use of all mathematical educations and learner, the difficulty that really can solve teaching and easily run in study, with low cost, easy to carry, appearance design is attractive in appearance, believe and to be generalized on market the welcome that is subject to mathematical education and learner surely.
Description
Technical field
The utility model relates to one and can be used in learning middle school teaching, particularly understands the teaching aid of trigonometric function, can also use as stationery.
Background technology
Trigonometric function, as the content of middle school teaching, occupies important position in elementary mathematics.Trigonometric function relate to multiple theorem, definition and formula, because some students can not well understand these theorems, definition and formula, easily meet difficulty because not remembering and using, cause teacher's teaching and students ' learning performance all undesirable, and the enthusiasm of Students ' Learning is affected, to student and teacher even the head of a family bring certain difficulty.
Summary of the invention
For the not intelligible problem existed in trigonometric function teaching process, the purpose of this utility model is to provide a kind of teaching apparatus for mathematics, can be used in demonstration trigonometric function relation, carries out perceptual knowledge to help student to trigonometric function.
Sin cos functions Curve transform Teaching instrument of the present utility model, comprise one piece of fixed head and one block slidably plate, fixed head inside surface is provided with rectangular coordinate system, rectangular coordinate system is marked with scale value and scale mark, the X-coordinate axle positive dirction of rectangular coordinate system is marked with angle index value and angle index line, from rectangular coordinate system initial point to the angle index value X-coordinate axle positive dirction from zero to 4 π, be base unit angular dimension scale value with π/6, the X-coordinate axle negative direction of rectangular coordinate system is marked with angle index value and angle index line, from rectangular coordinate system initial point to the angle index value X-coordinate axle negative direction from zero to 4 π, be base unit angular dimension scale value with π/6, the Y-coordinate axle positive dirction of rectangular coordinate system is marked with numerical scale line and numerical scale value, from rectangular coordinate system initial point to the numerical scale value of Y-coordinate axle positive dirction from 0 to 1, the Y-coordinate axle negative direction of rectangular coordinate system indicates numerical scale line and numerical scale value, from rectangular coordinate system initial point to the numerical scale value of Y-coordinate axle negative direction from 0 to-1, slidably plate is fixed wtih the trigonometric function curve in four cycles.
The X-axis of described coordinate system and Y-axis coordinate scale line color are red, with the material adapted of white, allow people visually look more clear.
The color of described coordinate scale value is black, with the material adapted of white, more easily distinguishes; Arrange in pairs or groups with the coordinate scale line of redness, three-dimensional or two-dimentional visual effect can be produced, be convenient to be dissolved in study and go, be convenient to understand.
The trigonometric function curved lines color that described slidably plate is fixed wtih is black, with the material adapted of white, more easily distinguishes; Arrange in pairs or groups with the coordinate scale line of redness, three-dimensional or two-dimentional visual effect can be produced, be convenient to be dissolved in study and go, be convenient to understand.
Described fixed head is rectangular slab, and the longer both sides of length, to the certain length of the relative direction doubling of the same side, form draw-in groove, block slidably plate and do not make automatic landing.Top pocket edges is provided with measures the scale value of length and scale mark, to be convenient to when teacher gives lessons graphing on blackboard, to play the effect of ruler, be convenient to the study of student resource simultaneously.
The scale value of described measurement length and scale mark color are all black.
Described angle index line, angle index value, coordinate scale line, coordinate scale value, the scale mark measuring length and scale value, wherein any one is concave or convex line, paint film.
The described fixed head back side is provided with trigonometric function product to sum formula, inverted triangle formula, conventional trigonometric function rule, is convenient to Students ' Learning.
Described fixed head and slidably plate are plastic plate, light, with low cost, are convenient for carrying, and are easy to teacher and give lessons and students study.
Sin cos functions Curve transform Teaching instrument of the present utility model, can be used in demonstrating the transformational relation between sine function and cosine function, and may be used for measuring length and common-used formula memory and using, and is beneficial to student and deeply understands trigonometric function knowledge.And drawing can be carried out as stationery to use, both be suitable for teachers ' teaching and used, and be suitable for Students ' Learning and use.
Accompanying drawing explanation
Fig. 1, Fig. 2 and Fig. 3 are the structural representation of a kind of sin cos functions Curve transform Teaching instrument of the present utility model.
Fig. 1 is the fixed head figure of sin cos functions Curve transform Teaching instrument.
Fig. 2 is the slidably plate figure of sin cos functions Curve transform Teaching instrument.
Fig. 3 is the back view of sin cos functions Curve transform Teaching instrument.
Embodiment
Below in conjunction with accompanying drawing and concrete example, sin cos functions Curve transform Teaching instrument of the present utility model is described further, to help understanding content of the present utility model.
Sin cos functions Curve transform Teaching instrument of the present utility model, comprises one piece of fixed head and one block slidably plate, fixed head inside surface is provided with rectangular coordinate system, and slidably plate is fixed wtih the trigonometric function curve map in four cycles.
Described rectangular coordinate system is marked with scale value and scale mark, the X-coordinate axle positive dirction of rectangular coordinate system is marked with angle index value and angle index line, from rectangular coordinate system initial point to the angle index value X-coordinate axle positive dirction from zero to 4 π, be base unit angular dimension scale value with π/6, the X-coordinate axle negative direction of rectangular coordinate system is marked with angle index value and angle index line, from rectangular coordinate system initial point to the angle index value X-coordinate axle negative direction from zero to 4 π, be base unit angular dimension scale value with π/6; The Y-coordinate axle positive dirction of rectangular coordinate system is marked with numerical scale line and numerical scale value, from rectangular coordinate system initial point to the numerical scale value of Y-coordinate axle positive dirction from 0 to 1, the Y-coordinate axle negative direction of rectangular coordinate system indicates numerical scale line and numerical scale value, from rectangular coordinate system initial point to the numerical scale value of Y-coordinate axle negative direction from 0 to-1;
By at the upper left right translation of fixed head slidably plate, thus the mutual conversion between demonstration sine and cosine functions curve.
Claims (10)
1. a sin cos functions Curve transform Teaching instrument, comprises one piece of fixed head and one block slidably plate, fixed head inside surface is provided with rectangular coordinate system; Rectangular coordinate system is marked with scale value and scale mark, the X-coordinate axle positive dirction of rectangular coordinate system is marked with angle index value and angle index line, from rectangular coordinate initial point to the angle index value X-coordinate axle positive dirction from 0 to 4 π, be base unit angular dimension scale value with π/6, the X-coordinate axle negative direction of rectangular coordinate system is marked with angle index value and angle index line, from rectangular coordinate system initial point to the angle index value X-coordinate axle negative direction from 0 to 4 π, be base unit angular dimension scale value with π/6; The Y-coordinate axle positive dirction of rectangular coordinate system is marked with numerical scale line and numerical scale value, from rectangular coordinate system initial point to the numerical scale value of Y-coordinate axle positive dirction from 0 to 1, the Y-coordinate axle negative direction of rectangular coordinate system indicates numerical scale line and numerical scale value, from rectangular coordinate system initial point to the numerical scale value of Y-coordinate axle negative direction from 0 to ﹣ 1; Slidably plate is fixed wtih the trigonometric function curve in four cycles.
2. sin cos functions Curve transform Teaching instrument as claimed in claim 1, is characterized in that: the X-axis of described coordinate system and Y-axis coordinate scale line color are for red.
3. sin cos functions Curve transform Teaching instrument as claimed in claim 1, is characterized in that: the color of described coordinate scale value is black.
4. sin cos functions Curve transform Teaching instrument as claimed in claim 1, is characterized in that: it is black that described slidably plate is fixed wtih trigonometric function curved lines color.
5. sin cos functions Curve transform Teaching instrument as claimed in claim 1, is characterized in that: described fixed head is rectangular slab, and the both sides that length is longer form draw-in groove to the length that the relative direction doubling of the same side is certain, block slidably plate and do not make automatic landing.
6. sin cos functions Curve transform Teaching instrument as claimed in claim 5, is characterized in that: described draw-in groove coboundary is provided with the scale value and scale mark of measuring length.
7. sin cos functions Curve transform Teaching instrument as claimed in claim 6, is characterized in that: the scale value of described measurement length and scale mark color are black.
8. the sin cos functions Curve transform Teaching instrument as described in claim 1 or 6, it is characterized in that: described angle index line, angle index value, coordinate scale line, coordinate scale value, the scale mark measuring length and scale value, wherein any one is concave or convex line, paint film.
9. sin cos functions Curve transform Teaching instrument as claimed in claim 1, is characterized in that: the described fixed head back side is provided with trigonometric function product to sum formula, inverted triangle formula, generally conventional rule.
10. sin cos functions Curve transform Teaching instrument as claimed in claim 1, is characterized in that: described fixed head and slidably plate are plastic plate.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201420242390.9U CN204463592U (en) | 2014-05-13 | 2014-05-13 | Sin cos functions Curve transform Teaching instrument |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201420242390.9U CN204463592U (en) | 2014-05-13 | 2014-05-13 | Sin cos functions Curve transform Teaching instrument |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN204463592U true CN204463592U (en) | 2015-07-08 |
Family
ID=53670444
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201420242390.9U Expired - Fee Related CN204463592U (en) | 2014-05-13 | 2014-05-13 | Sin cos functions Curve transform Teaching instrument |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN204463592U (en) |
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2014
- 2014-05-13 CN CN201420242390.9U patent/CN204463592U/en not_active Expired - Fee Related
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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: 20150708 Termination date: 20180513 |
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| CF01 | Termination of patent right due to non-payment of annual fee |