CN206516138U - A kind of plywood of trigonometric function two - Google Patents

A kind of plywood of trigonometric function two Download PDF

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Publication number
CN206516138U
CN206516138U CN201621309957.5U CN201621309957U CN206516138U CN 206516138 U CN206516138 U CN 206516138U CN 201621309957 U CN201621309957 U CN 201621309957U CN 206516138 U CN206516138 U CN 206516138U
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China
Prior art keywords
readings
chi
value
axis
plate
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Expired - Fee Related
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CN201621309957.5U
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Chinese (zh)
Inventor
熊成华
熊捷雨
叶章梅
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Individual
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Individual
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Abstract

A kind of plywood of trigonometric function two as teaching aid or learning aid, it is characterized in that:Including the bottom plate being made of transparent plastic(1)With readings chi(2)Two boards body is constituted, and base plate configuration is a single bull nose rectangle, and band fillet side part is protractor(3), with protractor center(4)An orthodrome is drawn for the center of circle(5), on orthodrome(5)The angle value scale for having 0 ~ 90 degree, 0 degree of line of protractor are drawn along plate portion round edge(6)For X-axis, 90 degree of lines(7)For Y-axis;Readings chi plate(2)Profile is combined as a sleeping T word, readings chi plate by two rectangles(2)On be painted with rectangular coordinate system, wherein X-axis line(9)And scale is painted on readings chi plate(2)Turn into cosine value, cotangent value readings chi on the transverse direction rectangle of left side(11), Y-axis line(10)And scale is painted on readings chi plate(2)Turn into sine value, tangent value readings chi on the rectangle of right side longitudinal direction(12), two axial scales are all identified with two kinds of unit lengths, and string value unit length is bottom plate orthodrome(5)Radius, it is bottom plate orthodrome to cut value unit length(5)Radius 1/10th.The utility model can be used for angle measurement, can quickly and accurately find just, cosine and just, four positive and negative trigonometric function values of cotangent.The utility model drastically increases the use function of such product, the precision, stability, production technology cost that is educational and reducing product of product is especially improved, so that the value function of product has been significantly increased.

Description

A kind of plywood of trigonometric function two
Technical field
The utility model is related to teaching apparatus for mathematics or schooling apparatus, and in particular to a kind of Trigonometrid function board.
Background technology
Existing such Trigonometrid function board religion(Learn)Tool, such as Application No. CN02275842.9 patent, although its structure Simply, but the principle of trigonometric function can not be reflected(Essence), it is a kind of Trigonometrid function board equivalent to table-look-up type, educational function is not By force, and because the area of bottom plate is limited, enough trigonometric function values can not fully be listed;And Application No. CN93223213.2 patent, although trigonometric function principle can be disclosed(Essence), but because of the rod member formula component of use, the accuracy of manufacture It is required that high, so as to increase production cost and technical difficulty, if not increasing precision requirement, the measurement error of product can be very Greatly, use value is not high.In a word, existing Trigonometrid function board religion(Learn)Tool, they are required for realizing by using rod member greatly Functional purpose, they or it is complicated, or using and operate not convenient, educational function it is not strong, or manufacture production it is trifling, without Ji, all existing defects, all less desirable religion in varying degrees(Learn)Tool.
The content of the invention
The purpose of this utility model is to avoid above-mentioned the deficiencies in the prior art part and provide a kind of plywood of trigonometric function two, Especially ingenious use transparent plastic sheet overlapping adds coordinate series structure(Rod member construction is abandoned), the like product of simplifying over Construction, and the measurement error caused by construction is considerably reduced, precision is improved, it can be used for the angle of 0 ~ 90 degree of measurement, Can quickly and accurately find just, cosine and just, four positive and negative trigonometric function values of cotangent, and use simple operation, manufacturing process Simply, it is with low cost.
The technical solution of the utility model is:The plywood of trigonometric function two, by the bottom plate and readings being made of transparent plastic Chi two boards body is constituted, and two plates overlapping is used;Base plate configuration is a single bull nose rectangle, and band fillet side part is protractor, An orthodrome is drawn by the center of circle of protractor center(Best radius is less than protractor edges of boards edge circular arc, accompanying drawing 1,2,4 be equal to Protractor edges of boards edge circular arc), the angle value scale for having 0 ~ 90 degree is drawn on orthodrome along plate portion round edge, 0 degree of line of protractor is X Axle, 90 degree of lines are Y-axis;Readings chi plate combines shape as sleeping T-shaped by two rectangles, and rectangular coordinate system is painted with readings chi plate, Wherein X-axis line and scale are painted on the left of readings chi plate is configured to cosine value, cotangent value readings chi, Y-axis line and quarter on horizontal rectangle Degree, which is painted on the right side of readings chi plate, is configured to sine value, tangent value readings chi on longitudinal rectangle, two axial scales are all identified with two kinds Unit length, string value chi unit length is the radius of bottom plate orthodrome, cuts the radius that value chi unit length is bottom plate orthodrome 1/10th(For the value of the cutting chi, in order to ensure degree of precision reading numerical values, when in use or make when can be according to specific reality Situation uses other unit length value.).
The horizontal rectangular slab left end of the readings chi also has the second positive cotangent readings area, and readings chi total length is orthodrome at this Half path length, readings chi is painted with the scale and respective value mark of 0 ~ 90 degree of corresponding tangent and cotangent value, and is set on bottom plate There is corresponding readings to demarcate line, readings line of demarcating is parallel with bottom plate Y-axis and be equal to the second positive cotangent on readings chi with its distance and read It is worth chi scale right-hand member sideline and the distance of Y-axis on readings chi.
Figure and the slide-rule dial line can be drawn with different colours.
The subscale mark for being used as calibration is painted with directly over the readings chi lateral part X-axis scale.
The longitudinal rectangular slab of the readings chi right-hand member can be arranged to right-angled trapezium or circular arc and other shapes, in favor of reading The convenient and attractive in appearance consideration of value.
Provided with two chutes up and down, chute and the horizontal rectangle lower edges kissing of readings chi plate in squared region on the left of the bottom plate Close, only slided between limitation readings chi plate and bottom plate along X-direction work is mutual, remain that the X-axis line of two plates is overlapped during slip.
The utility model has the advantages that:After said structure, due to having abandoned rod member construction, it is to avoid because of bar Accuracy of manufacture deficiency causes product to use error between part, it also avoid teaching caused by wearing and tearing because of rod member rotating shaft long-term use(Learn) The use error of tool;The material that the utility model is used is only two pieces of transparent plastic sheets, produces simple and convenient, with current life Production. art Realize will not be to religion(Learn)The service precision of tool has a direct impact;Due to religion of the present utility model(Learn)Tool Using mainly by calibration or reading the coordinate system that is plotted on plastic plate and scale thereon and realize, and coordinate system and The realization of the precision of its measure scales only needs to just realize by once high-quality making(Because having painted a standard drawing Afterwards, remaining can be carried out by replicating), Product Precision easily ensures that process is also fairly simple.Based on said structure, sheet Utility model is preferably to be produced, is also more convenient using upper.Because the utility model had both been in design with trigonometric function value The result principle of ratio(Claim 1 disclose be exactly trigonometric function value be substantially right angled triangle both sides ratio), Also the readings principle of table-look-up type has been used(What claim 2 was disclosed is the one-to-one relationship of trigonometric function value and angle, as Look into mathematic(al) table), therefore the utility model possesses in use more educational functions.In a word, the utility model is greatly The use function of such product is improved, the precision, stability, life that is educational and reducing product of product is especially improved Technical costs is produced, so that the value function of product has been significantly increased.
Brief description of the drawings
Fig. 1 is structural representation of the present utility model, in order to which picture is clear, there is the figure in the insignificant region of clipped, Do not have in not actual figure.
Fig. 2 bottom plates, in order to which picture is clear, has the non-representative lines in part not draw completely, do not have in not actual figure.
Fig. 3 readings chis, in order to which picture is clear, do not list one by one does not have in the graduated numerical value of institute, not actual figure.
The combination schematic diagram of Fig. 4 difference readings chis and bottom plate.
In Fig. 1,2,3,4,1-- bottom plates, 2-- readings chis, 3-- protractors, 4-- protractors center, 5-- orthodromes, 6-- amounts 0 degree of line of angle device(X-axis), 90 degree of lines of 7-- protractors(Y-axis), 8-- chutes, 9-- readings chi X-axis, 10-- readings chi Y-axis, more than 11-- String value, cotangent value readings chi, 12-- sine values, tangent value readings chi, 13-- the second positive cotangent readings chis, 14-- calibrations it is auxiliary Help scale, 15-- readings is demarcated line.
Embodiment
The utility model is described in further detail below in conjunction with the accompanying drawings:
As shown in Figure 1, plywood of trigonometric function two, by the bottom plate 1 and the two boards body group of readings chi 2 being made of transparent plastic Into base plate configuration is a single bull nose rectangle, and band fillet side part is protractor 3, is that the center of circle draws one with protractor center 4 Individual orthodrome 5(Best radius is less than protractor edge circular arc), along plate portion round edge on orthodrome 5(Protractor edge)Drafting has 0 ~ 90 degree of angle value scale, the scale is used as angle value is read;0 degree of line of protractor is that 6,90 degree of lines of X-axis are Y-axis 7;Readings chi 2 Plate combines shape as sleeping T-shaped by two rectangles, rectangular coordinate system is painted with the plate of readings chi 2, the wherein line of X-axis 9 and scale is painted on It is configured to cosine value, cotangent value readings chi on the left of readings chi plate on horizontal rectangle, Y-axis line and scale are painted on vertical on the right side of readings chi plate It is configured to sine value, tangent value readings chi on to rectangle, two axial scales are all identified with two kinds of unit lengths, and string value chi unit is long Degree is the radius of bottom plate orthodrome, cuts value chi unit length is the radius of bottom plate orthodrome 1/10th, for the value of the cutting chi, In order to ensure degree of precision reading numerical values, other unit length can be used according to specific actual conditions when in use or when making Value.
Individually 0 ~ an angle of 90 degrees value can be measured with bottom plate protractor;
Read sine and cosine value and anyway cosine value method:The trigonometric function value at а degree angle is such as read, two plates can be overlapped simultaneously Ensure under the preceding topic that two plate X-axis are overlapped, carried out by left and right translation gliding readings plate, readings plate Y-axis is pointed to bottom plate great circle The number of degrees value mark point at corresponding а degree angle on arc(As Fig. 1 points to 54 degree), the scale at mark point in Y-axis can read а angles Sine value(45 degree of sine values are about 0.80 in Fig. 1), from readings chi X-axis and bottom plate Y-axis intersection point(That is protractor center)Locate X-axis Scale can read а cosine of an angle values(45 degree of angle cosine values are about 0.59 in Fig. 1).In turn, first it is directed at corresponding sine and cosine value Position after, cosine value anyway accordingly just can be read to obtain at angle readings.
Read positive cotangent value method:By the coordinate of X-axis unit 1 of readings chi(1,0)Point moves to the right protractor centre bit Put, now readings chi Y-axis(Tangent value chi)Scale value with the end edge point of intersection at the angle of measurement is the tangent of an angle value;By readings The coordinate of Y-axis unit 1 of chi(0,1)Point is moved to the right on the end edge at the angle to be measured, now reads X-axis on readings chi(It is remaining Cut value chi)In the cotangent value that the scale value of protractor central spot is the angle.In turn, first it is directed at the position of corresponding positive cotangent value Afterwards, cotangent value anyway accordingly just can be read to obtain at angular readings.
The horizontal rectangular slab left end of the readings chi also has the second positive cotangent readings area 13, and readings chi total length is great circle at this Half path length of arc 5, readings chi is painted with the scale and respective value mark, and bottom plate 1 of 0 ~ 90 degree of corresponding tangent and cotangent value There is corresponding readings to demarcate line 15, readings is demarcated, and line 15 is parallel with bottom plate 1Y axles and to be equal on readings chi second with its distance just remaining Cut the scale right-hand member sideline of readings chi 13 and the distance of Y-axis on readings chi.
When the corresponding angle of readings chi Y-axis sensing orthodrome, from the top of the second readings area 13(Tangent value chi)To reply The demarcate scale of line 15 of quasi- bottom plate can read а degree tangent of an angle values(45 degree of angle tangent values are about 1.38 in Fig. 1), read from second It is worth the lower section of area 13(Cotangent value chi)The demarcate scale of line of alignment bottom plate can read the cotangent value at а degree angle(45 degree of angles in Fig. 1 Cotangent value is about 0.72).It in turn, behind the position for being first directed at corresponding positive cotangent value, just can be read at angular readings accordingly Anyway cotangent value.
Figure and the slide-rule dial line can be drawn with different colours.Purpose is in order that the various angular values drawn exist Can preferably it be offered an explanation during readings, it is to avoid the difficulty and mistake of readings.
The subscale mark 14 for being used as calibration is painted with directly over the readings chi lateral part X-axis scale.The scale is carved with X-axis Degree coordinates alignment protractor Y-axis line to correct the part deviation caused after the translation of readings chi.
The longitudinal rectangular slab of the readings chi right-hand member can be arranged to right-angled trapezium or circular arc and other shapes, in favor of reading The convenient and attractive in appearance consideration of value.Also for blocking sight when avoiding hand-held.
Provided with two chutes up and down, chute and the horizontal rectangle lower edges kissing of readings chi plate in squared region on the left of the bottom plate Close, only slided between limitation readings chi plate and bottom plate along X-direction work is mutual, remain that the X-axis line of two plates is overlapped during slip. When purpose is to operate, readings chi is not produced up and down and other undesirable movements, improve trigonometric function The speed of the measurement degree of accuracy and the measurement work of two plywood, strengthens the globality of two plywood, thus improves triangle on the whole The precision of the plywood of function two.

Claims (4)

1. a kind of plywood of trigonometric function two as teaching aid or learning aid, it is characterized in that:Including the bottom plate being made of transparent plastic (1)With readings chi(2)Two boards body, two plates overlapping is used;Base plate configuration is a single bull nose rectangle, and band fillet side part is Protractor(3), which is provided with X-axis(6)With Y-axis(7)Line and angle groove;Readings chi(2)Shape is to be combined into one by two rectangles Individual sleeping T-shaped, two rectangles are respectively equipped with specific readings groove with bottom plate X, Y-axis correspondence direction position.
2. the plywood of trigonometric function two according to claim 1, it is characterized in that:The horizontal rectangular slab left end of the readings chi also has Second positive cotangent readings area(13).
3. the plywood of trigonometric function two according to claim 1, it is characterized in that:The longitudinal rectangular slab of the readings chi right-hand member can be with It is arranged to right-angled trapezium or circular arc.
4. the plywood of trigonometric function two according to claim 1 or 3, it is characterized in that:It is provided with the left of the bottom plate in squared region Two chute up and down(8), the horizontal rectangle lower edges of chute and readings chi plate match.
CN201621309957.5U 2016-12-01 2016-12-01 A kind of plywood of trigonometric function two Expired - Fee Related CN206516138U (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201621309957.5U CN206516138U (en) 2016-12-01 2016-12-01 A kind of plywood of trigonometric function two

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201621309957.5U CN206516138U (en) 2016-12-01 2016-12-01 A kind of plywood of trigonometric function two

Publications (1)

Publication Number Publication Date
CN206516138U true CN206516138U (en) 2017-09-22

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110887434A (en) * 2019-12-30 2020-03-17 中航华东光电有限公司 Fillet detection device

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110887434A (en) * 2019-12-30 2020-03-17 中航华东光电有限公司 Fillet detection device

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CF01 Termination of patent right due to non-payment of annual fee
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Granted publication date: 20170922

Termination date: 20191201