CN109945769A - A kind of positive and negative Trigonometrid function board - Google Patents

A kind of positive and negative Trigonometrid function board Download PDF

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Publication number
CN109945769A
CN109945769A CN201910197083.0A CN201910197083A CN109945769A CN 109945769 A CN109945769 A CN 109945769A CN 201910197083 A CN201910197083 A CN 201910197083A CN 109945769 A CN109945769 A CN 109945769A
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CN
China
Prior art keywords
panel body
rectangular panel
protractor
positive
trigonometrid
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Pending
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CN201910197083.0A
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Chinese (zh)
Inventor
袁野
袁苹
李芳�
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Individual
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Individual
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Priority to CN201910197083.0A priority Critical patent/CN109945769A/en
Publication of CN109945769A publication Critical patent/CN109945769A/en
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Abstract

The invention discloses a kind of positive and negative Trigonometrid function boards, and including the rectangular panel body being made of clear material, the length-width ratio of the rectangular panel body is 2:1;Semicircle shape protractor is provided on rectangular panel body, one side of rectangular panel body length direction is identical as protractor bottom edge length and overlaps;The another side of rectangular panel body length direction is uniformly arranged 20 longitudinal Along ents, and longitudinal vertical line is pulled out on longitudinal Along ent and longitudinal vertical line intersects with the circular arc of protractor;Rectangular panel body width direction is evenly arranged with 10 lateral Along ents, and lateral vertical line is pulled out on lateral Along ent and lateral vertical line intersects with the circular arc of protractor.People are when to trigonometric function value is sought, the trigonometric function value at required angle can be obtained by lateral vertical line, longitudinal vertical line while measuring the angle at required angle, under can also being worth situation knowing any one trigonometric function, angle value is read or found out by positive and negative Trigonometrid function board.

Description

A kind of positive and negative Trigonometrid function board
Technical field
The present invention relates to remote measurement, mapping etc. are positive and negative with trigonometric function related fields, especially teaching field With the drafting with work figure.
Background technique
Trigonometrid function board is a kind of tool, is mainly used for measuring and reading trigonometric function value and their antitrigonometric function Value.The current value in relation to trigonometric function is all to go to look into mathematic(al) table, or calculated with the trigonometric function device of electronics, and premise is also wanted Known one jiao of degree is measured, process is excessively cumbersome, brings great inconvenience to the calculating of trigonometric function value to user.
Summary of the invention
Object of the present invention is in view of the above-mentioned problems, providing the positive and negative Trigonometrid function board that a kind of structure is simple, easy-to-use.
To achieve the goals above, the technical scheme is that
A kind of positive and negative Trigonometrid function board, including the rectangular panel body being made of clear material, the length-width ratio of the rectangular panel body For 2:1;Semicircle shape protractor is provided on rectangular panel body, one side of rectangular panel body length direction is identical as protractor bottom edge length And it overlaps;The another side of rectangular panel body length direction is uniformly arranged 20 longitudinal Along ents, pulls out on longitudinal Along ent Longitudinal vertical line and longitudinal vertical line intersects with the circular arc of protractor;Rectangular panel body width direction is evenly arranged with 10 lateral equal parts Point, lateral vertical line is pulled out on lateral Along ent and lateral vertical line intersects with the circular arc of protractor.
Further, described 20 longitudinal Along ents are labeled with scale, scale is followed successively by -1 from left to right, -0.9, - 0.8、-0.7、-0.6、-0.5、-0.4、-0.3、-0.2、-0.1、0、0.1、0.2、0.3、0.4、0.5、0.6、0.7、0.8、0.9、 1。
Further, described 10 lateral Along ents are labeled with scale, scale sequentially consists of 0,0.1, 0.2、0.3、0.4、0.5、0.6、0.7、0.8、0.9、1。
Further, to improve accuracy, ten etc. are carried out again between the every two transverse direction Along ent or longitudinal Along ent Point, and scale mark is made, 9 points can be put, intermediate is slightly long.
Further, the rectangular panel body bottom end is integrally formed with ruler scale plate, and the one of ruler scale plate length direction Side and the bottom edge of protractor in rectangular panel body coincide, and are labeled with scale on right angle scale plate.
Further, the length of the ruler scale plate is 20cm.
Further, the protractor bottom edge central point of the rectangular panel body is provided with location hole.
Further, hollow out arc groove is provided on the protractor of the rectangular panel body.
Further, the hollow out arc groove and protractor concentric are arranged.
Further, a protractor is set as on the inside of the arc groove.
Compared with prior art, the advantages and positive effects of the present invention are:
The present invention on rectangular panel body by being arranged the design of protractor, so that people are when to trigonometric function value is sought, The endpoint of protractor bottom edge central point and required angle on rectangular panel body need to only be coincided, the zero degree line weight of initial line and protractor It closes.The trigonometric function that can obtain required angle by lateral vertical line, longitudinal vertical line while measuring the angle at required angle is just remaining String value reads (or finding out) positive cotangent value by the intersection point of end edge and rectangle long side and broadside.And pass through positive antitrigonometric function Invertibity also can read or find out antitrigonometric function.Greatly improve trigonometric function value seeks efficiency;And by square Shape plate body bottom end is integrally formed the design of ruler scale plate, and the present invention is allowed to be provided simultaneously with graduated scale, protractor, triangle letter The multiple functions such as several plates are easy to use quick, and the teaching and utilization to trigonometric function all bring great convenience.
Detailed description of the invention
In order to more clearly explain the embodiment of the invention or the technical proposal in the existing technology, to embodiment or will show below There is attached drawing needed in technical description to be briefly described, it should be apparent that, the accompanying drawings in the following description is only this Some embodiments of invention without any creative labor, may be used also for those of ordinary skill in the art To obtain other drawings based on these drawings.
Fig. 1 is the structural diagram of the present invention.
Specific embodiment
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete Site preparation description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on Embodiment in the present invention, it is obtained by those of ordinary skill in the art without making creative efforts every other Embodiment, any modification, equivalent replacement, improvement and so on should all be included in the protection scope of the present invention.
As shown in Figure 1, a kind of positive and negative Trigonometrid function board, including the rectangular panel body 4 being made of clear material, the rectangular slab The length-width ratio of body is 2:1;It is provided on rectangular panel body 4 semicircle shape protractor 9 (180 degree protractor), 4 bottom edge conduct of rectangular panel body 9 bottom edge of protractor;9 bottom edge central point of protractor is provided with location hole 1;Hollow out arc groove 2, hollow out circular arc are provided on protractor 2 inside of slot is also the 180 degree protractor concentric with protractor 9, and 4 top margin of rectangular panel body is uniformly arranged 20 longitudinal Along ents.5, 20 longitudinal Along ents 5 are labeled with scale;Its scale is followed successively by -1 from left to right, -0.9, -0.8, -0.7, -0.6, -0.5, - 0.4,-0.3,-0.2,-0.1,0,0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9,1;It is drawn on longitudinal Along ent 5 Longitudinal vertical line 6 and longitudinal vertical line 6 intersects with the circular arc of protractor 9 out;4 side of rectangular panel body is evenly arranged with 10 lateral equal parts The lateral Along ents of point 7,10 are labeled with scale, scale sequentially consists of 0,0.1,0.2,0.3,0.4,0.5,0.6, 0.7,0.8,0.9,1.0;(longitudinal Along ent at rectangular panel body top margin both ends and the lateral Along ent weight on rectangular panel body side top Close, i.e., longitudinal Along ent that scale is -1,1 is overlapped with the lateral Along ent 1.0 on rectangular panel body side top respectively), every two Ten equal parts can be carried out again between lateral Along ent or longitudinal Along ent, can be indicated with point, intermediate can be slightly longer, and Mark relationship between centimetre, millimeter in ruler is identical.Lateral vertical line 8 is pulled out on lateral Along ent 7 and lateral vertical line 8 with The circular arc of protractor 9 intersects;Integrally formed with ruler scale plate 3, the length of ruler scale plate 3 is for 4 bottom end of rectangular panel body (20cm is normal value to 20cm, is not definite value, is subject to the bottom edge length of rectangular panel body, and rectangular panel body only requires that length-width ratio is 2:1, size can change according to precise requirements);3 top margin of ruler scale plate coincides with rectangular panel body bottom edge, ruler scale Scale is labeled on plate 3.Protractor is identical with the protractor used on the market in Fig. 1, and centre is provided with angle value (in Fig. 1 not Draw), and understand for convenience, scale is labeled on the outside of plate body.
The trigonometric function at any one angle can be indicated by the trigonometric function of corresponding 0 to 90 degree of sign symbol and one Out.Antitrigonometric function value can also add the angle of one 0 to 90 degree to indicate with K*180.Functional value is the table in right angled triangle It shows, such as in right angled triangle, sina=a/c, CoSa=b/c, tana=a/b, COta=b/a, seca=c/ B, csoa=C/a, wherein tangent, cotangent are reciprocal each other, and sine, cosecant are reciprocal each other, and cosine, secant are reciprocal each other.We are only Another can be given expression to by wanting to measure any one of every group in three groups.
When measuring trigonometric function value, protractor is bottom, and longitudinal vertical line is cosine value guide line, its one end direction amount The degree at angle on the device of angle, scale value of the other end in the long side i.e. cosine value of the angle;Lateral vertical line is sine value guidance The degree at angle on protractor, scale value of the other end on the short side i.e. sine value of the angle are directed toward in line, its one end;Use angulation Device measures the angle at required angle, and finds out cosine, sine value by longitudinal vertical line, lateral vertical line.Such as known cosine, sine value, It is required that the degree at angle, can read the angle of corresponding 0 to 90 degree directly on positive and negative Trigonometrid function board.
When calculating tangent, cotangent value, the bottom edge at required angle and protractor bottom edge are coincided, extend the another of required angle The long side of side, the side and rectangular panel body, the scale registration of short side intersection point can indicate the tangent of the angle, cotangent value, different , when calculating cotangent value, the long side intersection point of the side and rectangular panel body then directly reads scale, the broadside on the side and rectangular panel body Intersection point is then indicated with the backward read of scale registration, and when calculating tangent value, the broadside intersection point of the side and rectangular panel body is then directly read The long side intersection point of scale, the side and rectangular panel body is then indicated with the backward read of scale registration.Such as known positive cotangent value, it is intended to ask Angle can find out the point being worth accordingly, the point and the protractor center of circle are connected one on length (or wide) side of positive and negative Trigonometrid function board Straight line, this straight line are that end edge degree signified on protractor is required angle.
In use, longitudinal vertical line, lateral vertical line can be arranged to the color bands of multiple color cycle arrangement, just In reading numerical values, and due to the requirement of accuracy difference, the rectangular slab of positive and negative Trigonometrid function board can be as needed, arbitrarily puts Big and diminution.

Claims (9)

1. a kind of positive and negative Trigonometrid function board, including the rectangular panel body being made of clear material, it is characterised in that: the rectangular panel body Length-width ratio be 2:1;Semicircle shape protractor, one side and the protractor bottom edge of rectangular panel body length direction are provided on rectangular panel body Length is identical and overlaps;The another side of rectangular panel body length direction is uniformly arranged 20 longitudinal Along ents, longitudinal Along ent On pull out longitudinal vertical line and longitudinal vertical line intersects with the circular arc of protractor;Rectangular panel body width direction is evenly arranged with 10 cross To Along ent, lateral vertical line is pulled out on lateral Along ent and lateral vertical line intersects with the circular arc of protractor.
2. positive and negative Trigonometrid function board as described in claim 1, it is characterised in that: described 20 longitudinal Along ents are labeled with quarter Degree, scale is followed successively by -1 from left to right, -0.9, -0.8, -0.7, -0.6, -0.5, -0.4, -0.3, -0.2, -0.1,0,0.1, 0.2、0.3、0.4、0.5、0.6、0.7、0.8、0.9、1。
3. positive and negative Trigonometrid function board as described in claim 1, it is characterised in that: described 10 lateral Along ents are labeled with quarter Degree, scale sequentially consist of 0,0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9,1.
4. the positive and negative Trigonometrid function board as described in Claims 2 or 3 is any, it is characterised in that: the every two transverse direction Along ent Or ten equal parts are carried out again between longitudinal Along ent, and make scale mark.
5. positive and negative Trigonometrid function board as described in claim 1, it is characterised in that: the rectangular panel body bottom end is integrally formed with straight Ruler scale plate, one side of ruler scale plate length direction and the bottom edge of protractor in rectangular panel body coincide, on ruler scale plate It is labeled with scale.
6. positive and negative Trigonometrid function board as claimed in claim 5, it is characterised in that: the length of the ruler scale plate is 20cm.
7. positive and negative Trigonometrid function board as claimed in claim 6, it is characterised in that: the protractor bottom edge center of the rectangular panel body Point is provided with location hole.
8. positive and negative Trigonometrid function board as claimed in claim 7, it is characterised in that: be provided on the protractor of the rectangular panel body Hollow out arc groove.
9. positive and negative Trigonometrid function board as claimed in claim 8, it is characterised in that: the hollow out arc groove and protractor concentric Setting.
CN201910197083.0A 2019-03-15 2019-03-15 A kind of positive and negative Trigonometrid function board Pending CN109945769A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201910197083.0A CN109945769A (en) 2019-03-15 2019-03-15 A kind of positive and negative Trigonometrid function board

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201910197083.0A CN109945769A (en) 2019-03-15 2019-03-15 A kind of positive and negative Trigonometrid function board

Publications (1)

Publication Number Publication Date
CN109945769A true CN109945769A (en) 2019-06-28

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Citations (13)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3925899A (en) * 1974-03-19 1975-12-16 Sarah Hesse Graphics Instrument
CN87201694U (en) * 1987-07-24 1988-08-17 苗庆海 Multi-purpose differentiating rule
CN87205462U (en) * 1987-11-26 1988-10-12 李舜 Multi-purpose protractor
CN2072915U (en) * 1990-03-24 1991-03-13 文日升 Protractor provided with sine/cosine circular functions
CN2079121U (en) * 1990-05-09 1991-06-19 李文灿 Multifunctional maths ruler
CN1055595A (en) * 1990-04-08 1991-10-23 李光耀 The multifunctional quick angle meter device
CN2202649Y (en) * 1993-10-30 1995-07-05 黄廷 Multi-purpose protractor
CN2325809Y (en) * 1998-02-20 1999-06-23 郭太平 Sine function quick calculating rule
DE20207827U1 (en) * 2002-05-18 2002-08-29 Lindner Karl Angle function knife
CN201105588Y (en) * 2007-09-21 2008-08-27 常碾甫 Multipurpose protractor
CN201220550Y (en) * 2008-05-19 2009-04-15 董难迪 Triangular function direct-reading ruler
CN202022003U (en) * 2011-03-04 2011-11-02 钟家文 Multifunctional mathematics ruler for students
CN203026006U (en) * 2013-01-25 2013-06-26 师海满 Trigonometric function measuring instrument

Patent Citations (13)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3925899A (en) * 1974-03-19 1975-12-16 Sarah Hesse Graphics Instrument
CN87201694U (en) * 1987-07-24 1988-08-17 苗庆海 Multi-purpose differentiating rule
CN87205462U (en) * 1987-11-26 1988-10-12 李舜 Multi-purpose protractor
CN2072915U (en) * 1990-03-24 1991-03-13 文日升 Protractor provided with sine/cosine circular functions
CN1055595A (en) * 1990-04-08 1991-10-23 李光耀 The multifunctional quick angle meter device
CN2079121U (en) * 1990-05-09 1991-06-19 李文灿 Multifunctional maths ruler
CN2202649Y (en) * 1993-10-30 1995-07-05 黄廷 Multi-purpose protractor
CN2325809Y (en) * 1998-02-20 1999-06-23 郭太平 Sine function quick calculating rule
DE20207827U1 (en) * 2002-05-18 2002-08-29 Lindner Karl Angle function knife
CN201105588Y (en) * 2007-09-21 2008-08-27 常碾甫 Multipurpose protractor
CN201220550Y (en) * 2008-05-19 2009-04-15 董难迪 Triangular function direct-reading ruler
CN202022003U (en) * 2011-03-04 2011-11-02 钟家文 Multifunctional mathematics ruler for students
CN203026006U (en) * 2013-01-25 2013-06-26 师海满 Trigonometric function measuring instrument

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Application publication date: 20190628