CN201853393U

CN201853393U - Multifunctional trigonometric function ruler

Info

Publication number: CN201853393U
Application number: CN2010205465619U
Authority: CN
Inventors: 陈荣南
Original assignee: Individual
Current assignee: Individual
Priority date: 2010-09-25
Filing date: 2010-09-25
Publication date: 2011-06-01
Anticipated expiration: 2020-09-25

Abstract

The utility model relates to a multifunctional trigonometric function ruler, which belongs to the teaching appliance manufacturing technology. The multifunctional ruler can directly read the trigonometric function value of any angle, help to understand the relation formula of the trigonometric function with the same angle, draw a circle and an ellipse, and can realize multiple functions by one ruler. It includes bottom plate (1), function hexagon (2), rectangular coordinate system (3), unit circle (4), cross (5), scale (9), characterized by rectangular coordinate system (3) are located the central point of bottom plate (1) and put, the origin coincidence of the centre of a circle and rectangular coordinate system (3) of unit circle (4), function hexagon (2) are located the outside of unit circle, the axis of ordinates of sine pointer (7) perpendicular to rectangular coordinate system (3), the cross axle of cosine pointer (8) perpendicular to rectangular coordinate system (3), and cross (5) are passed respectively in sine pointer (7) and cosine pointer (8).

Description

Multi-functional trigonometric function chi

Technical field

The utility model relates to a kind of chi, and particularly a kind of multi-functional trigonometric function chi belongs to the teaching appliance manufacturing technology.

Background technology

In the prior art, no matter be the chi that uses in teaching or the design, may have many functions such as triangle, rectangle, circle on it, but do not have aly can to help the student to learn trigonometric function, the trigonometric function formula is memonic, and the high school student of junior middle school is now forbidden to use counter and mathematic(al) table is eliminated by the epoch already, and it is very difficult that this makes contemporary student grasp the rule of trigonometric function.In order to overcome the deficiency of prior art, improve teachers and students' efficiency of teaching, the special the utility model of developing.

The utility model content

The purpose of this utility model provides a kind of multi-functional trigonometric function chi.It is made up of base plate, function hexagon, rectangular coordinate system, unit circle, cross, rule etc., it can directly read various at any angle trigonometric function values, can help the student grasp various trigonometric functions rule, can help the student to understand and remember main trigonometric function relation formula.Its modern design, compact conformation, easy to use.The utility model is to realize like this, its first design feature is: multi-functional trigonometric function chi, comprise base plate, function hexagon, rectangular coordinate system, unit circle, cross, rule, it is characterized in that rectangular coordinate system is positioned at the center of base plate, the center of circle of unit circle overlaps with the initial point of rectangular coordinate system, the function hexagon is positioned at the outside of unit circle, sinusoidal pointer is perpendicular to the longitudinal axis of rectangular coordinate system, the cosine pointer transverse axis perpendicular to rectangular coordinate system, and sinusoidal pointer and cosine pointer pass cross respectively.Its second design feature is: hexagonal six summits of function indicate the title of sina, cosa, cota, csca, these six trigonometric functions of seca, tana respectively by counterclockwise order, indicate numeral 1 in the hexagonal center of function.Its 3rd design feature is: cross is made up of two hollow cylinders, is connected with rotation circle above cross central authorities, and the angulation pointer passes the circle centre position that rotation circle and an end are fixed on unit circle.Its 4th design feature is: the scale that is marked with angulation at the circumference of unit circle.Its 5th design feature is: rule is positioned at the edge of base plate, is connected with the active card spring coil at the edge of rule, and center of circle jump ring circle is fixed on the zero graduation place of rule.Advantage of the present utility model in sum is as follows: (one) is novel in design, compact conformation; (2) production cost is low, easy to use; (3) raising teachers and students' efficiency of teaching.

Description of drawings

Further understand structure of the present utility model below in conjunction with description of drawings and embodiment.

Fig. 1 is the vertical view of the multi-functional trigonometric function chi of the utility model;

Fig. 2 is the front elevation of the multi-functional trigonometric function chi of the utility model;

Fig. 3 is the use synoptic diagram of the utility model direct-reading tan value.

Wherein: 1. 12. rotations of base plate 2. function hexagons 3. rectangular coordinate systems 4. unit circles 5. crosses 6. angulation pointers 7. sinusoidal pointer 8. cosine pointers 9. rules 10. center of circle jump ring circles 11. active card spring coils are enclosed

Embodiment

The preferred plan of the multi-functional trigonometric function chi of the utility model is to be material with transparent hard plastic, with reference to the accompanying drawings 1 and accompanying drawing 2 make each parts of the utility model and be assembled into and be multi-functional trigonometric function chi.

Embodiment one is directly read trigonometric function value at any angle: from accompanying drawing 1 as can be seen, when the length of angulation pointer 6 is fixed as 1 unit, rotate angulation pointer 6 time the specified angle, drive cross 5 by rotation circle 12 and make corresponding mobile, make sinusoidal pointer 7 and cosine pointer 8 slide into the relevant position, the reading of at this moment sinusoidal pointer 7 indications be exactly the reading of the sine value of this angle, cosine pointer 8 indications be exactly the cosine value of this angle; From accompanying drawing 3 as can be seen, when the length of sinusoidal pointer 7 is fixed as 1 unit, when rotating angulation pointer 6 to specified angle, the reading of sinusoidal pointer 7 indications is exactly the tangent value of this angle; When the length of cosine pointer 8 is fixed as 1 unit, when rotating angulation pointer 6 to specified angle, the reading of cosine pointer 8 indications is exactly the cotangent value of this angle.

Embodiment two helps to understand and remembers with angle trigonometric function relation formula: the amassing of (one) reciprocal relation---function hexagon 2 diagonal line two ends functions equals one; The function of (two) merchant's formula relation---function hexagon 2 any one drift angle equals the amassing of function of adjacent two drift angles; Above the shade del of (three) quadratic relationship---function hexagon 2 the function square sum of two drift angles equal the 3rd drift angle function square.

Embodiment three helps the student to learn point coordinate: in rectangular coordinate system 3, make sinusoidal pointer 7 slide into different positions with cosine pointer 8 by mobile cross 5, allow the student understand that two numerals of point coordinate are that a pair of orderly real number is right in the plane.

Embodiment four is drawn circle, is drawn ellipse: be fixed on center of circle jump ring circle 10 with one-pen, the radius length place of mobile active card spring coil 11 appointment to the rule 9, put into active card spring coil 11 with other one-pen, the multi-functional trigonometric function chi of the utility model is rotated a circle around center of circle jump ring circle 10, can make satisfactory circle; With center of circle jump ring circle 10 and active card spring coil 11 is focal length, and the two ends of a rope are separately fixed on center of circle jump ring circle 10 and the active card spring coil 11, and the multi-functional trigonometric function chi of the utility model has just become ellipsograph.

Embodiment five wall built-ups: center of circle jump ring circle 10 or active card spring coil 11 are pierced in the nail of wall or desk side, can hang on the wall the multi-functional trigonometric function chi of the utility model or the desk side, the trouble that the west is looked for be sought in east when avoiding needing to use.

Claims

1. multi-functional trigonometric function chi, comprise base plate (1), function hexagon (2), rectangular coordinate system (3), unit circle (4), cross (5), rule (9), it is characterized in that rectangular coordinate system (3) is positioned at the center of base plate (1), the center of circle of unit circle (4) overlaps with the initial point of rectangular coordinate system (3), function hexagon (2) is positioned at the outside of unit circle, sinusoidal pointer (7) is perpendicular to the longitudinal axis of rectangular coordinate system (3), cosine pointer (8) is perpendicular to the transverse axis of rectangular coordinate system (3), and sinusoidal pointer (7) and cosine pointer (8) pass cross (5) respectively.

2. require 1 described multi-functional trigonometric function chi according to claim, it is characterized in that cross (5) is made up of two hollow cylinders, be connected with rotation circle (12) in the top of cross (5) central authorities, angulation pointer (6) passes the circle centre position that rotation circle (12) and an end are fixed on unit circle (4).

3. require 1 described multi-functional trigonometric function chi according to claim, it is characterized in that the circumference at unit circle (4) is marked with the scale of angulation.

4. require 1 described multi-functional trigonometric function chi according to claim, it is characterized in that rule (9) is positioned at the edge of base plate (1), be connected with active card spring coil (11) at the edge of rule (9), center of circle jump ring circle (10) is fixed on the zero graduation place of rule (9).