CN86202640U

CN86202640U - Multipurpose drawing template

Info

Publication number: CN86202640U
Application number: CN 86202640
Authority: CN
Inventors: 陶云鹏; 徐新春
Original assignee: Individual
Current assignee: Individual
Priority date: 1986-04-25
Filing date: 1986-04-25
Publication date: 1987-02-18

Abstract

The utility model relates to a multipurpose drawing template which is a piece of transparent template of 2 millimetres thick. The utility model uses a rotating disc and empty frames in various shapes to complete the base mapping function by the existing tool kit, so the multipurpose drawing template is a combination drawing tool which collects the functions of a compass, a set-square, an angulometer, a curve board, a scale, etc. The utility model is mainly used for mapping in high school mathematics. The utility model has the advantages of sufficient accuracy, time saving, convenient operation, low price, etc.

Description

Multipurpose drawing template

Many is a thick transparent template of 2 millimeters with the picture template, is a kind of combination drawing tools that collects compasses, set square, protractor, curve ruler, all functions of engineer's scale.

Basic mapping, particularly middle school student make various mathematic graphs, need a whole set of more expensive instrument of price, not only carry inconvenience, and because of the practice complicated time-consuming many.

Many goals of the invention with the picture template are: the function of a whole set of instruments such as bipod compasses is concentrated on the template, finish the middle school mathematics mapping, it is accurate, simple and direct not only to map, and saves the picture time, and easy to carry, reduces student's expense.

Many is to utilize the disk that rotates with the picture template, the empty frame of multiple shape is finished the basic mapping function of existing kit, be exactly total its technical solution in fact one as Fig. 1 (template vertical view, Fig. 2 is its side view, Fig. 3 is the disk profilograph) shown in concrete structure, now specify as follows:

Many is the circular empty frame of inverted "convex" shape with a longitudinal section is arranged on the picture template, its longitudinal section of placement and empty frame match in the empty frame, exceed the rotatable disc ［ 1 ］ of 1 millimeter of template, disk is to be close to circular empty frame external 45 by being placed on, 135,225, on 315 angle positions, be fixed on the template by flat head screw, the organic plastic plate (1 that has triangular pointed, 2,3,4) tip is pushed down, level at disk, on the vertical two axial lines direction 1 millimeters deep is arranged respectively, four grooves (5 of 6 mm wides, 6,7,8), 4 millimeters of spacings are arranged on each groove, the hole that diameter is 2 millimeters (9 etc.) totally 17, utilize in the first-class insertion aperture of ball pen and rotate, can make the circle of certain radius.Disc centre is opened a handstand convex shape aperture, does location, the center of circle and uses.Aperture is 6 millimeters from the minimum distance of disc centre, and maximum distance is 22 millimeters, porose and gap disc centre be 1 millimeter.It is right-hand that aperture disposes following level, horizontal left, vertical lower, vertical direction, it is from the nearest aperture of home position, from being respectively 6,7,8,9 millimeters, on disk, also have the empty frame (can draw the center symmetrical triangle) of a triangle, small sircle hole, little elliptical aperture, dentation hole (can draw gear, plum blossom shape wheel) from distance of center circle.The groove that the 0-360 angle is arranged around the empty frame of circle.

Also have an empty frame ［ 2 ］ of rectangles wide 30 millimeters, long 60 millimeters on the picture template use, it is the minimum scale line of unit that its four limit all has with the millimeter, and upper and lower more, and left and right sides opposite side number of division is corresponding respectively.Two long limits of the empty frame of rectangle are marked with 0,1,2,3 and 4,5 points, and it is corresponding respectively that line segment 04,05 and the angle on a long limit are respectively 60 degree, 30

degree points

1 and 4,

point

5 and 3, put 2 and 1,3 on one side together, and line segment 01 and 12 are isometric.

Also has the empty frame ［ 3 ］ of a decagon on the picture template use more, wherein have five to be respectively 120 degree (5), 108 degree (6), 60 degree (7), 45 degree (8) and 30 degree (9) in ten interior angles,

angle

1,2,3,4(

angle

1,3 are interior angle) be to draw the special angle that the crucial main points of the audio-visual picture bottom surface in the solid geometry determine (can be as calculated or accurately map draw) according to oblique two survey methods.

12 curves can drawing at many curve ruler shape sky frames ［ 4 ］ that also have 12 mathematics fundamental curves on the picture template are 1/ (X) (1), tgX(2), X ²(3), (x ²)/4 (4), (x ³)/8 (5), (x ²)/8 (6) (x ²)/2 (7), 2 ^X(8), the hyperbola (12) of the hyperbola (11) of Archimedes spiral (10), e=5/3, e=5/4 SinX(9).

Many is positive oval (1) with also having the empty frames ［ 5 ］ of a plurality of half elliptics on the picture template in a side that is the horizontal axis of minimum scale unit with the millimeter, and opposite side is flat ellipse (2).

Also having row's spacing at the edge of template is that 10 millimeters, aperture are 2 millimeters aperture ［ 6 ］ (can draw the bigger figure of radius).

In addition, on the template limit, also have 1 to 2,1 to 5 engineer's scale, use during for ratiometric conversion.

According to Fig. 1-Figure 10,, advantage of the present utility model and positive result are further described below by the analysis of several drawing methods:

Fig. 1 is many vertical views with the picture template, its size and each several part position dimension are drawn oblique dotted portion and are represented hollow out all with in kind identical among the figure, Fig. 2 is many side views with the picture template, Fig. 3 is the profilograph of rotatable disc on the template, Fig. 4: the various angles of measuring or do the 0-360 degree; Fig. 5: the parallel lines of drawing any gradient; Fig. 6; With line segment five equilibrium in proportion; Fig. 7-Figure 10: draw audio-visual picture bottom surface in the solid geometry (oblique five, three, four, hexagon) with oblique two survey methods.

Draw the angle of 0-360 degree: (Fig. 4) penetrate the aperture of the center of circle and the right-hand low order end of level with nib, fix 2 points, rotary disk is aimed at required angle with low order end aperture limit upward arrow and is decided a bit, line, (angle measurement is in like manner).On this basis the angle number is removed 2, also can draw angular bisector.

Draw the parallel lines (Fig. 5) of any gradient: on paper, draw a horizontal line section, the inclination template, make on the empty frame of rectangle following and horizontal line section meet at a little 1,2, angle 1 is desired inclination angle, with (or right) passing (noting: can not change two position of intersecting point) left of template level, can the oblique parallel lines of each bar of picture.

Line segment is divided equally in proportion (Fig. 6): see Fig. 6,56 for requiring the line segment of the quartering among the figure, to put 5 and overlap, connect 0,6 points with four centimetres of groove places on the empty frame lower frame of rectangle, according to last method cross a little 1,2,3(is 1,2,3 centimetre of groove point) parallel lines of work 06 line segment.

Draw the method (Fig. 7-10) of audio-visual picture bottom surface:

Learn according to a minute folding: the key that is drawn as the audio-visual picture bottom surface with oblique two survey methods for regular polygon with any length of side be catch several the angles that can not become (

angle

1,2,3,4 among Fig. 1 ［ 3 ］) existing with the most difficult picture, utilize existing instrument also be difficult to picture accurately regular pentagon to be drawn as the audio-visual picture bottom surface with oblique two survey methods be the example explanation: see Fig. 7, do the limit 12 of any length.Put 3(therein and get mid point with the high scale chi measurement of template limit) work 45 degree (angle 8) oblique lines 34, crossing a little 1 utilizes the angle 2 in the empty frame of decagon to do angle 2, hand over 34 in point 5, cross point 5 and make line segment 12 parallel lines, cross point 1 and utilize the angle 3 in the empty frame of decagon to do angle 3, the parallel lines of handing in face are in point 6, cross a little and 6 utilize the angle 4 in the empty frame of decagon to do angle 4, another side intersection section 34 is in point 8, and line taking section 57 equals line segment 56, tie point 8 and point 7 are promptly finished mapping.According to identical basic principle, utilize angle 8 and angle 1 in the empty frame of decagon respectively, angle 8, angle 8 and angle 1, referring to accompanying drawing 8,9,10 with positive triangle, square, that regular hexagon is drawn as the audio-visual picture bottom surface with oblique two survey methods is just not difficult.(illustrate: Fig. 8 mid point 3 is the mid point of line segment 12, Fig. 9 middle conductor 14 is half of line segment 12, Figure 10 mid point 3 is the mid point of line segment 12, line segment 56 is parallel to line segment 12, and line segment 45 equals line segment 46, all equals line segment 12, line segment 47 equals line segment 43, line segment 89 is parallel to line segment 56, and equals line segment 12, and point 7 is its mid point).

Can be drawn as various pyramids, prism, terrace with edge (is that the bottom surface can be drawn as various circular cones, post, platform with the ellipse) based on top method, need to prove that point 9 among Fig. 7, the some 5(among Fig. 8 can determine according to geometric knowledge), two diagonal intersection points among Fig. 9, point 4 among Figure 10 is intersection point high in the audio-visual picture, neglects requirement greatly and decides as for high.

It is not difficult that arbitrary triangle is drawn as the audio-visual picture bottom surface with oblique two survey methods, with just waiting survey method to be drawn as the audio-visual picture bottom surface, utilizes this template can bring convenience on positive five, hexagon yet, and its method has not described in detail.

Above method identifies oneself easier, accurately, also helps the cultivation of middle school student's thinking and ability of drawing, and its great advantage is that the regular polygon length of side can be any, and this is to adopt the audio-visual picture bottom surface template institute of setting insurmountable.

The empty frame of rectangle on the template also can be drawn various triangles, and parallelogram, rectangle, rhombus are made vertical line, height, perpendicular bisector, and method is simple and direct.

Positive five, hexagonal characteristics on the plane are that each interior angle is respectively 108 degree and 120 degree, and the reason of therefore utilizing angle 6 in the empty frame of decagon and angle 5 and the regular polygon length of side to equate respectively can be drawn as.

Recessed below thick 1.5 millimeters of the template edge, in order to avoid ink bleed when drawing the line of ink marker.

Many be mainly used in the middle school mathematics mapping, have enough degrees of accuracy and save time and advantage such as make things convenient for,, also can adopt as required for other staff with the picture template.

Claims

1, how be one thick 2 millimeters transparent combined type drawing tools, it is characterized in that with the picture template:

Many is the circular empty frame of inverted "convex" shape with a longitudinal section is arranged on the picture template, its longitudinal section of placement and empty frame match in the empty frame, exceed the rotatable disc [1] of 1 millimeter of template, disk is to be close to circular empty frame external 45 by being placed on, 135,225, on 315 angle positions, be fixed on the template by flat head screw, the organic plastic plate (1 that has triangular pointed, 2,3,4) tip is pushed down, in disc level, on the vertical two axial lines direction 1 millimeters deep is arranged respectively, four grooves (5 of 6 mm wides, 6,7,8), 4 millimeters of spacings are arranged on each groove, the hole that diameter is 2 millimeters (9 etc.), the hole is 6 millimeters from the minimum distance of the disc centre that is inverted "convex" shape, maximum distance is 22 millimeters, porose and gap disc centre be 1 millimeter, the groove that the 0-360 angle is arranged around the empty frame of circle

Also has an empty frame [2] of rectangles wide 30 millimeters, long 60 millimeters on the picture template use more, it is the minimum scale line of unit that its four limit all has with the millimeter, and the angle that is marked with 0,1,2,3 and 4,5 points, line segment 04,05 and a long limit respectively on two long limits is respectively 60 degree, 30 degree, point 1 and 4, point 5 and 3 are distinguished corresponding, put 2 and 1,3 on same one side, and line segment 01 and 12 is isometric

Also have the empty frame [3] of a decagon many on the picture template, wherein have five to be respectively 120 degree (5), 108 degree (6), 60 degree (7), 45 degree (8) and 30 and to spend (9) in ten interior angles,

Many with the picture template in addition these 12 curves of empty frame [4] of 12 mathematics fundamental curves be 1/ (X) (1), tgX (2), X ²(3), (x2)/4 (4), (x3)/8 (5), (x2)/8 (6) (x2)/2 (7), 2 ^X(8), the hyperbola (12) of the hyperbola (11) of SinX (9), Archimedes spiral (10), e=5/3, e=5/4 is many with also having the empty frame [5] of a plurality of half elliptics on the picture template, be positive oval (1) in a side that with the millimeter is the horizontal axis of minimum scale unit, opposite side is flat ellipse (2)

Also having row's spacing at the edge of template is that 10 millimeters, aperture are 2 millimeters aperture [6].