CN110375603A - A kind of trigonometric function teaching aid - Google Patents
A kind of trigonometric function teaching aid Download PDFInfo
- Publication number
- CN110375603A CN110375603A CN201910805015.8A CN201910805015A CN110375603A CN 110375603 A CN110375603 A CN 110375603A CN 201910805015 A CN201910805015 A CN 201910805015A CN 110375603 A CN110375603 A CN 110375603A
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- China
- Prior art keywords
- protractor
- trigonometric function
- concentric semicircles
- teaching aid
- concentric
- Prior art date
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- 239000012780 transparent material Substances 0.000 claims description 7
- 230000006870 function Effects 0.000 abstract description 30
- 230000009286 beneficial effect Effects 0.000 abstract description 2
- 230000001154 acute effect Effects 0.000 description 4
- 229920003229 poly(methyl methacrylate) Polymers 0.000 description 4
- 239000004926 polymethyl methacrylate Substances 0.000 description 4
- 238000010586 diagram Methods 0.000 description 3
- 239000000463 material Substances 0.000 description 2
- 230000007547 defect Effects 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 239000011521 glass Substances 0.000 description 1
- 238000000034 method Methods 0.000 description 1
- 230000035764 nutrition Effects 0.000 description 1
- 235000016709 nutrition Nutrition 0.000 description 1
- 239000012994 photoredox catalyst Substances 0.000 description 1
- 239000004417 polycarbonate Substances 0.000 description 1
Classifications
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B3/00—Measuring instruments characterised by the use of mechanical techniques
- G01B3/02—Rulers with scales or marks for direct reading
- G01B3/04—Rulers with scales or marks for direct reading rigid
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B3/00—Measuring instruments characterised by the use of mechanical techniques
- G01B3/56—Gauges for measuring angles or tapers, e.g. conical calipers
- G01B3/563—Protractors
-
- G—PHYSICS
- G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
- G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
- G09B23/00—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
- G09B23/02—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for mathematics
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- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Pure & Applied Mathematics (AREA)
- Mathematical Analysis (AREA)
- Mathematical Optimization (AREA)
- Mathematical Physics (AREA)
- Computational Mathematics (AREA)
- Engineering & Computer Science (AREA)
- Algebra (AREA)
- Business, Economics & Management (AREA)
- Educational Administration (AREA)
- Educational Technology (AREA)
- Theoretical Computer Science (AREA)
- Length-Measuring Instruments Using Mechanical Means (AREA)
Abstract
The present invention relates to teaching apparatus for mathematics or schooling apparatus, more particularly to a kind of trigonometric function teaching aid, including semicircular protractor, the protractor is equipped with the angle index line being connected with the center of circle of the protractor, and the protractor is equipped with the concentric semicircles that multiple radiuses are less than or equal to 1；Each concentric semicircles are respectively provided with radius scale value corresponding with the concentric semicircles below its diameter；The inscribed circle for being 1 equipped with diameter in the semicircle that radius is 1 in the concentric semicircles.Beneficial effects of the present invention: user, to facilitate the teaching of teacher, can deepen the understanding and memory of student by angle index line and concentric circles, intersecting for inscribed circle reading the sine value of the trigonometric function of special angle and no special angle.
Description
Technical field
The present invention relates to teaching apparatus for mathematics or schooling apparatus, and in particular to a kind of trigonometric function teaching aid.
Background technique
Trigonometric function is the very important knowledge point of middle school period, and wherein the concept of acute angle trigonometric function is the most important thing.
Since the proximate nutrition of acute angle trigonometric function is abstract, on the mathematics class of school, teacher often uses protractor and ruler to draw
It is demonstrated, and pertains only to the trigonometric function of some special angles, no special angle is seldom related to or direct with calculator
Calculate as a result, and when be related to changing rule between acute angle trigonometric function value and acute angle size, teacher must draw multiple figures
It is explained, student could understand.Teacher not only needs that great effort is spent to explain in this way, be also unfavorable for student intuitivism apprehension and
Memory.
Summary of the invention
In order to overcome the defects of the prior art described above, the technical problems to be solved by the present invention are: provide it is a kind of intuitive,
Trigonometric function teaching aid easily measuring, convenient for teaching.
In order to solve the above-mentioned technical problem, the technical solution adopted by the present invention are as follows: a kind of trigonometric function teaching aid is provided, including
Semicircular protractor, the protractor are equipped with the angle index line being connected with the center of circle of the protractor, the protractor
It is equipped with the concentric semicircles that multiple radiuses are less than or equal to 1；Each concentric semicircles be respectively provided with below its diameter with it is described
The corresponding radius scale value of concentric semicircles；The inscribed circle for being 1 equipped with diameter in the semicircle that radius is 1 in the concentric semicircles.
Further, the center of circle of above-mentioned trigonometric function teaching aid, including pointer, the pointer and the protractor, which rotates, to be connected
It connects.
Further, above-mentioned trigonometric function teaching aid, the protractor are transparent material.
The beneficial effects of the present invention are: one is less than or equal to 1 by setting multiple radiuses on semicircular protractor
Concentric semicircles, each concentric semicircles are respectively provided with corresponding radius scale value below its diameter, and radius is 1 in concentric semicircles
Semicircle in be 1 equipped with diameter inscribed circle, user can read by the intersection of angle index line and concentric circles, inscribed circle
The sine value of special angle and no special angle trigonometric function out；Secondly, user can pass through known sine value (radius scale
Value) intuitively read corresponding angle；Thirdly, can also intuitively observe relationship between sine function and angle, make to learn
The raw image for being best understood from SIN function, to facilitate the teaching of teacher and the understanding of student and memory.
Detailed description of the invention
Fig. 1 is a kind of structural schematic diagram of trigonometric function teaching aid of a specific embodiment of the invention；
Fig. 2 is a kind of structural schematic diagram of the pointer of trigonometric function teaching aid of a specific embodiment of the invention；
Fig. 3 is a kind of schematic diagram of trigonometric function teaching aid of a specific embodiment of the invention；
Label declaration: 1, protractor；2, angle index line；3, concentric semicircles；4, inscribed circle；5, diameter；6, radius scale
Value；7, pointer.
Specific embodiment
To explain the technical content, the achieved purpose and the effect of the present invention in detail, below in conjunction with embodiment and cooperate attached
Figure is explained.
The most critical design of the present invention is: same less than or equal to 1 by setting multiple radiuses on semicircular protractor
Heart semicircle, each concentric semicircles are respectively provided with corresponding radius scale value below its diameter, and radius is 1 in concentric semicircles
The inscribed circle for being 1 equipped with diameter in semicircle, user can be read by the intersection of angle index line and concentric circles, inscribed circle
The sine value of the trigonometric function at special angle and no special angle.
It please refers to shown in Fig. 1 to Fig. 3, the present invention provides a kind of trigonometric function teaching aid, including semicircular protractor 1, institute
It states protractor 1 and is equipped with the angle index line 2 being connected with the center of circle of the protractor 1, the protractor 1 is equipped with multiple radiuses
Concentric semicircles 3 less than or equal to 1；Each concentric semicircles 3 are respectively provided with and 3 phase of concentric semicircles in the lower section of its diameter 5
Corresponding radius scale value 6；The inscribed circle 4 for being 1 equipped with diameter in the semicircle that radius is 1 in the concentric semicircles 3.
The working principle of the invention: shown in referring to figure 3., because being equipped with diameter in the semicircle that radius is 1 in concentric semicircles 3
For 1 inscribed circle 4, AO is inscribe diameter of a circle.So ∠ ABO=90 ° is as seen from the figure, ∠ BAO=∠ BOC；So Sin ∠
BAO=Sin ∠ BOC=OB/AO, and because of AO=1, Sin ∠ BOC=OB；Again because OB is the radius of concentric semicircles 3,
So user can directly read radius scale value 6 corresponding to angle index line 2.
Advantages of the present invention is as follows: one, by set on semicircular protractor 1 multiple radiuses less than or equal to 1 it is same
Heart semicircle 3, each concentric semicircles 3 are respectively provided with corresponding radius scale value 6, radius in concentric semicircles 3 in the lower section of its diameter 5
To be equipped with the inscribed circle 4 that diameter is 1 in 1 semicircle, user can pass through the phase of angle index line 2 and concentric circles, inscribed circle 4
It hands over to read the sine value of special angle and no special angle trigonometric function；Secondly, user can pass through known sine value (half
Diameter scale value 6) intuitively read corresponding angle；Thirdly, can also intuitively observe between sine function and angle
Relationship makes student be best understood from the image of SIN function, to facilitate the teaching of teacher and the understanding of student and memory.
Further, the radius of the concentric semicircles 3 can equally increase, and the radius of unit 1 can be divided into
Several pieces, the number being divided into is more, and the sinusoidal letter value precision of reading is more quasi-.
Further, the center of circle of above-mentioned trigonometric function teaching aid, including pointer 7, the pointer 7 and the protractor 1 turns
Dynamic connection.
As can be seen from the above description, by setting pointer 7, consequently facilitating user is quickly found out corresponding sine function,
Eyes are caused to see colored situation so as to avoid because angle index line 2 is excessive.
Further, above-mentioned trigonometric function teaching aid, the protractor 1 are transparent material.
From upper description it is found that 1 material selection transparent material of protractor, transparent material obviously observe relatively convenient for user
The sine function answered.
Embodiment one
A kind of trigonometric function teaching aid, including semicircular protractor 1 are provided, the protractor 1 is equipped with and the angulation
The connected angle index line 2 in the center of circle of device 1, the protractor 1 are equipped with the concentric semicircles 3 that multiple radiuses are less than or equal to 1；Each
The concentric semicircles 3 are respectively provided with radius scale value 6 corresponding with the concentric semicircles 3 in the lower section of its diameter 5；It is described concentric
The inscribed circle 4 for being 1 equipped with diameter in the semicircle that radius is 1 in semicircle 3.Further, the radius of the concentric semicircles 3 can be with
Equally increase, the radius of unit 1 can be divided into 20 equal portions, the number being divided into is more, the sine function precision of reading
It is more quasi-, preferably divide 20 equal portions；The concentric semicircles 3, angle index line 2, diameter 5 and radius scale value 6 can be engraved on or print
In on the front and back sides of protractor 1；Further, above-mentioned trigonometric function teaching aid further includes pointer 7, the pointer 7 and the amount
The center of circle of angle device 1 is rotatablely connected, and the pointer 7 can be set to the front or back of protractor 1, preferably reverse side；The pointer 7 is optional
Be PMMA with material, and lead with the arrow be engraved on or be printed on pointer 7, consequently facilitating user be quickly found out it is corresponding just
String functional value；Further, above-mentioned trigonometric function teaching aid, the protractor 1 are transparent material, and glass, PMMA, PC can be selected
Equal transparent materials, preferably PMMA, because PMMA transparency is good, and it is not easily broken and scratch.
The above description is only an embodiment of the present invention, is not intended to limit the scope of the invention, all to utilize this hair
Equivalents made by bright specification and accompanying drawing content are applied directly or indirectly in relevant technical field, similarly include
In scope of patent protection of the invention.
Claims (3)
1. a kind of trigonometric function teaching aid, including semicircular protractor, the protractor is equipped with the center of circle with the protractor
Connected angle index line, which is characterized in that the protractor is equipped with the concentric semicircles that multiple radiuses are less than or equal to 1；Each
The concentric semicircles are respectively provided with radius scale value corresponding with the concentric semicircles below its diameter；The concentric semicircles
The inscribed circle for being 1 equipped with diameter in the semicircle that middle radius is 1.
2. trigonometric function teaching aid according to claim 1, which is characterized in that including pointer, the pointer and the angulation
The center of circle of device is rotatablely connected.
3. trigonometric function teaching aid according to claim 1, which is characterized in that the protractor is transparent material.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201910805015.8A CN110375603A (en) | 2019-08-29 | 2019-08-29 | A kind of trigonometric function teaching aid |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201910805015.8A CN110375603A (en) | 2019-08-29 | 2019-08-29 | A kind of trigonometric function teaching aid |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN110375603A true CN110375603A (en) | 2019-10-25 |
Family
ID=68261028
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201910805015.8A Pending CN110375603A (en) | 2019-08-29 | 2019-08-29 | A kind of trigonometric function teaching aid |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN110375603A (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN113284397A (en) * | 2021-06-01 | 2021-08-20 | 河南城建学院 | Develop mathematical teaching aid of thinking |
Citations (10)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN2325809Y (en) * | 1998-02-20 | 1999-06-23 | 郭太平 | Sine function quick calculating rule |
| US6132217A (en) * | 1998-12-23 | 2000-10-17 | Dickson; Marilyn M. | Method and apparatus for teaching relationship of trigonometric functions between unit circle and rectangular coordinate system |
| CN2541918Y (en) * | 2002-03-18 | 2003-03-26 | 李芬 | Mathematical teaching aid |
| CN2544366Y (en) * | 2002-04-17 | 2003-04-09 | 陈畅文 | Augle and its sine and cosine function measuring teaching aid |
| CN2864861Y (en) * | 2005-12-07 | 2007-01-31 | 韩继伟 | Teaching apparatus for mathematics |
| CN201220550Y (en) * | 2008-05-19 | 2009-04-15 | 董难迪 | Triangular function direct-reading ruler |
| CN202771686U (en) * | 2012-09-30 | 2013-03-06 | 马继合 | Teaching aid for trigonometric function learning |
| CN203055248U (en) * | 2012-11-09 | 2013-07-10 | 厦门市杏南中学 | Multifunctional trigonometric function teaching ruler |
| US20190129361A1 (en) * | 2017-10-30 | 2019-05-02 | L. Franklin KEMP | Trigonometric display and method thereof |
| CN210293012U (en) * | 2019-08-29 | 2020-04-10 | 李守良 | Trigonometric function teaching aid |
-
2019
- 2019-08-29 CN CN201910805015.8A patent/CN110375603A/en active Pending
Patent Citations (10)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN2325809Y (en) * | 1998-02-20 | 1999-06-23 | 郭太平 | Sine function quick calculating rule |
| US6132217A (en) * | 1998-12-23 | 2000-10-17 | Dickson; Marilyn M. | Method and apparatus for teaching relationship of trigonometric functions between unit circle and rectangular coordinate system |
| CN2541918Y (en) * | 2002-03-18 | 2003-03-26 | 李芬 | Mathematical teaching aid |
| CN2544366Y (en) * | 2002-04-17 | 2003-04-09 | 陈畅文 | Augle and its sine and cosine function measuring teaching aid |
| CN2864861Y (en) * | 2005-12-07 | 2007-01-31 | 韩继伟 | Teaching apparatus for mathematics |
| CN201220550Y (en) * | 2008-05-19 | 2009-04-15 | 董难迪 | Triangular function direct-reading ruler |
| CN202771686U (en) * | 2012-09-30 | 2013-03-06 | 马继合 | Teaching aid for trigonometric function learning |
| CN203055248U (en) * | 2012-11-09 | 2013-07-10 | 厦门市杏南中学 | Multifunctional trigonometric function teaching ruler |
| US20190129361A1 (en) * | 2017-10-30 | 2019-05-02 | L. Franklin KEMP | Trigonometric display and method thereof |
| CN210293012U (en) * | 2019-08-29 | 2020-04-10 | 李守良 | Trigonometric function teaching aid |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN113284397A (en) * | 2021-06-01 | 2021-08-20 | 河南城建学院 | Develop mathematical teaching aid of thinking |
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