CN201501222U - Mathematical drawing template - Google Patents
Mathematical drawing template Download PDFInfo
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- CN201501222U CN201501222U CN2009202162359U CN200920216235U CN201501222U CN 201501222 U CN201501222 U CN 201501222U CN 2009202162359 U CN2009202162359 U CN 2009202162359U CN 200920216235 U CN200920216235 U CN 200920216235U CN 201501222 U CN201501222 U CN 201501222U
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Abstract
The utility model relates to a drawing template. The template is made of transparent or semi-transparent resin and is in a rectangular plate shape, the middle thereof is provided with a graphic hole, and the edge thereof is carved with rulers; the template is characterized in that mathematical drawing templates are classified into six types, i.e. round, linear, triangular, polygonal, geometric and spherical templates. A round template is carved with a graphometer, and is provided with a plurality of concentric semi-circular holes and round holes with different diameter, and all the round holes are carved with location coordinates. A linear template is provided with a plurality of rectangular holes in parallel, a plurality of scales with equal spacing vertical to the rectangular holes, and scales which form N.15-degree angles with the rectangular holes; A triangular template is carved with a round hole with diameter D, right, acute and obtuse triangular holes with the circle with the diameter D as a circumcircle, and scales identical to all the triangular holes and round holes internally tangent to the scales. A geometric template and a spherical template comprise elements required by drawing. Therefore, geometric figures can be quickly and correctly drawn with the fewest templates.
Description
Technical field
The utility model relates to manual drawing instrument, relates in particular to the student and uses the mathematics drawing template.
Background technology
At present, the students in middle and primary schools that learning, almost all need finish a large amount of arithmetic operations every day, this not only needs the student to possess the basic conception and the art of computation clearly flexibly, sometimes also need the student to use drawing instruments such as ruler, set square, compasses, by the complicated drawing performance correct figure that draws, could satisfactorily finish.At present, because drawing instrument is of a great variety, and its design is unreasonable, uses not easily, causes the student to expend a large amount of time and efforts on drawing performance, has influenced learning efficiency.
The utility model content
At above-mentioned situation, the purpose of the utility model is, for students in middle and primary schools provide a kind of complete mathematics drawing template, makes classmates fast, correctly draw out geometric figure by minimum drawing instrument, to save a large amount of quality time.
For achieving the above object, the utility model provides following design:
A kind of mathematics drawing template is made by transparent or semitransparent synthetic resin, and is rectangular tabular, and the middle part has the figure hole, and the edge is carved with the metric and English chi, it is characterized in that:
Described mathematics drawing template includes circle class drawing template, straight line class drawing template, triangle drawing template, polygon drawing template, solid geometry drawing template, curve and spheroid drawing template.
Described circle class drawing template, in the portrayal of template middle part a graphometer is arranged, on this graphometer face, offer 4～6, become equally spaced concentric semi-round ring shape open-work, on the connecting portion between each the concentric semicircles looping pit on this graphometer face, the width of cloth that is carved with the numeral that indicates the semi arch radius value and 13 ° scale from the graphometer center to N15 is penetrated radial alignment, and N is 0 to 12 positive integer; On the plate face of graphometer periphery, also be carved with the circular through-hole of 6-8 diameter from 3mm-18mm, it is the longitudinal and transverse coordinate groove of the origin of coordinates that the edge of each open-work is carved with this round heart; Described each semi-round ring shape hole, the radius ratio desire of its male part camber line is drawn the little γ 1 of radius of circular arc, the radius ratio desire of its inner fovea part camber line is drawn the big γ 1 of radius of circular arc, and the big γ 1 of the radius ratio desire of above-mentioned each circular through-hole picture radius of a circle, and described γ 1 is the radius of drawing pen core.
Described straight line class drawing template offers several and becomes level that equidistant row put to the rectangle open-work at template middle part; On the connecting portion between the rectangular opening, being carved with spacing is the vertical groove of a series of Y-axis of 10mm in above-mentioned each level, and with level to the X-axis angle of cut become ± 30 °, ± 45 °, ± groove of 60 ° and ± 75 °.
Described triangle drawing template, at the first half central authorities of the template circular through-hole that to have a diameter be D, being carved with on the periphery of this circular through-hole with this round heart is the groove of coordinate in length and breadth of the origin of coordinates; Around this circular through-hole, being carved with circumscribed circle diameter respectively is equilateral triangle open-work, acute triangle open-work, right angled triangle open-work, isosceles triangle open-work, the obtuse triangle open-work of D, the base of described five triangle open-works is all parallel with the abscissa X-axis, and be carved with respectively on above-mentioned five leg-of-mutton three limits the intersection point a of angular bisector at expression this limit mid point m, this limit and diagonal angle and this limit and from its to the intersection point h of summit to vertical line that this limit is done, and be the groove of coordinate in length and breadth of the origin of coordinates with each leg-of-mutton circumscribed circle center of circle; At above-mentioned each triangle side, also have one with the isometrical circular through-hole of this inscribed circle of a triangle, and be carved with tangent this triangular-shaped profile line of this circular hole at the round open-work of this inscribe edge and be the coordinate line in length and breadth of the origin of coordinates with the incenter.
Described polygon drawing template, be connected to diameter on template, having and be the circular groove of D the square open-work, in be connected to quadrangle open-work that diameter is the round groove of D, rhombus open-work, outside to be cut in diameter be D
1The square open-work of round groove, being connected to diameter in the Lower Half of template has is D
2The regular hexagon open-work of round groove, and parallelogram open-work and isosceles trapezoid open-work are connected to diameter in described and are that the square open-work of round groove of D and quadrilateral hole periphery be carved with its circumscribed circle center of circle is the groove of coordinate in length and breadth of the origin of coordinates; Described other each polygon open-work periphery, being carved with respectively with the centre of figure is the groove of coordinate in length and breadth of the origin of coordinates.
Described solid geometry template, having two major axis at the template face first half is 2 ~ 3: 1 similar oval open-work, two tilting similar equilateral triangle open-works, two tilting square open-works, two tilting similar regular pentagon open-works, two tilting regular hexagon open-works to the ratio of minor axis; All be carved with the groove of representing major axis and minor axis at described two oval open-work peripheries, be carved with the groove and the groove of representing each limit mid point m of the expression spatial coordinate axle of figure mid point at described equilateral triangle open-work periphery; At the periphery of described tilting square open-work, regular pentagon open-work and regular hexagon open-work, all be carved with the groove of representing the spatial coordinate axle respectively of figure mid point; Be provided with in the Lower Half of template be used to draw positive tetrahedron, draw monocline hexahedron and regular hexahedron, and three groups of drawing key elements of drawing regular octahedron; The key element of described drafting positive tetrahedron by a tilting equilateral triangle open-work, location path open-work as tetrahedron top the end of as, be that three the little triangle open-works of point location in three space arris and the connecting wheel profile on tetrahedron top and each summit of triangle open-work are formed, and mid point groove m is carved with in the outside, three limits of triangle open-work respectively, also is carved with the groove of the representation space coordinate of figure mid point at the described triangle open-work periphery of doing the end;
Describedly be used to draw regular hexahedron and the hexahedral drawing key element of monocline, by a tilting square open-work, one identical with described open-work and be the tilting square groove that parallel columns is put with it, each corresponding vertex of above-mentioned tilting square open-work and tilting square groove is made the groove of connection, cross the spatial coordinate groove that the figure mid point is done what described quadrangle open-work periphery was carved with, the spatial coordinate groove of on above-mentioned tilting square groove figure, being done of crossing the figure mid point, and the on line that connects above-mentioned quadrangle open-work center and quadrangle groove center is formed; The described drawing key element that is used to draw regular octahedron, by two go up the following groove of putting the expression spatial coordinate of crossing the open-work center that path location open-work, the octahedra summit up and down on summit under parallel and similar tilting square open-work, the conduct and connection groove, above-mentioned the next quadrangle open-work edge that four drift angles of above-mentioned quadrangle open-work connect mutually is carved with, and the spatial coordinate groove at the upper quadrangle open-work of the mistake center of being carved with at upper quadrangle open-work edge form, and the last summit of the base of above-mentioned upper quadrangle open-work and above-mentioned regular octahedron is crossing.
Described curve and spheroid drawing template are carved with the drawing key element of the drawing key element of non-equilateral hyperbola of drafting and asymptotic drawing key element thereof, drafting equilateral hyperbola, the drawing key element of drawing parabolical drawing key element, drafting sine or cosine curve, drafting ellipse, the drawing key element of drafting spheroid class on the template;
Non-equilateral hyperbola of described drafting and asymptotic drawing key element thereof, is the rectangle open-work that center and its length of side are respectively a and b by one with origin in length and breadth, with one be bottom and be that the open-work on last base is formed with non-equilateral hyperbola with its conjugate hyperbolas, be carved with rectangular reticle that can coincide with the rectangle open-work and the groove that coincides with the rectangular opening diagonal in the bottom of this open-work; Described equilateral hyperbola and asymptotic drawing key element thereof, by one in length and breadth coordinate and one respectively with hyperbola XY=K
1And XY=K
2, K
1≠ K
2Open-work as last bottom is formed.
The parabolical drawing key element of described drafting is parabolic curve Y by the coordinate groove that is orthogonal and a dual side-edge
2=2PX and Y
2The closed figure open-work of=4PX is formed;
The drawing key element of described drafting sine or cosine curve is made up of the closed figure open-work that the coordinate groove that is orthogonal and one two limit are sine curve Y=Sin X and Y=2Sin X;
The drawing key element of described drafting spheroid class is groove, can form for the heavy mutually oval open-work of several oval grooves of certain certain value with the ratio of above-mentioned major axis and minor axis respectively for the oval groove of certain certain value and several with the ratio of the less some major axis of other major axis radius and minor axis of the circumscribed circle of radius by an oval open-work, with the open-work major axis.
Description of drawings
Fig. 1 is the circle class drawing template;
Fig. 2 is a straight line class drawing template;
Fig. 3 is the triangle drawing template;
Fig. 4 is the polygon drawing template;
Fig. 5 is the solid geometry drawing template;
Fig. 6 is curve and spheroid drawing template.
The specific embodiment
I am according to the previous designs scheme, specific design has also been made six drawing templates as shown in drawings, thereafter it is as follows to implement again to draw: at first, get pencil and paper that core diameter is 5mm in advance ready, and draw the orthogonal coordinates that are used to locate with arbitrary template at the drawing position of paper.
One, embodiment 1, about the use of as shown in Figure 1 circular drawing template:
(1) utilize outer mother rib lateral rotundum directly to draw the circle that diameter is respectively 3,5,8,12,18 millimeters;
(2) with the semi-round ring shape hole on the graphometer, directly draw the semicircle of radius for (10mm+N5mm), perhaps be spliced into circle by positive and negative two semicircles, N is not more than 10 positive integer;
(3) draw equilateral triangle, square, regular pentagon (by label
), regular hexagon, polygon-octagonal;
(4) utilize the initial point and the camber line of graphometer, with angle two five equilibriums;
Two, embodiment 2, about the purposes of as shown in Figure 2 straight line drawing template:
(1) draws horizontal linear or horizontal line family;
(2), draw the straight line or the line family that become N * 15 ° with horizontal linear by plate oblique line that face is carved;
(3) draw parallelogram or rectangle;
(4) by level to perforate and vertical with it groove, a line segment is made 2 ~ 11 five equilibriums;
Three, embodiment 3, about using the drawing step of triangle drawing template as shown in Figure 3:
(1) from template, selects with proposition corresponding to some tri-angle-holedly, the longitudinal and transverse coordinate groove of this tri-angle-holed periphery is overlapped with coordinate on the kent;
(2) draw triangle with above-mentioned figure hole, mark simultaneously mid point m on each limit of triangle, the intersection point h on this limit, with the intersection point a of institute's diagonal angle angular bisector;
(3) coordinate and work (painting) drawing with the circular hole in the middle of the template coincides, and can paint the leg-of-mutton circumscribed circle of doing;
(4) the work triangle is overlapped with the triangular-shaped profile line on tri-angle-holed side, can draw this inscribed circle of a triangle by the circular hole in the outline line;
Four, embodiment 4, about the application of as shown in Figure 4 polygon drawing template, understand because of it is simple in structure, so not numerous chatting.
Five, embodiment 5, the main application about the solid geometry template as shown in Figure 5:
(1) is used for draw circles cylinder, oblique circular cylinder body, round platform, circular cone etc.;
(2) be used to draw positive triangle, positive four limits, positive five limits, regular hexagon stereoscopic column and platform;
(3) be used to draw regular hexahedron;
(4) be used to draw monocline hexahedron and regular hexahedron;
(5) be used to draw regular octahedron;
Six, embodiment 6, about as shown in Figure 6 the curve and the purposes of spheroid drawing template:
(1) draws hyperbola and asymptote thereof;
(2) draw parabola;
(3) draw sine or cosine curve;
(4) draw ellipse;
(5) stereogram of drafting spheroid;
(6) draw spherical crown, segment, billiard table and sphere awl.
Effect: easy to use, the figure in the mathematics that can draw the fast proposition not only makes the student save a large amount of drawing times, can also help the classmate to understand geometric internal relation.
Claims (7)
1. a mathematics drawing template is made by transparent or semitransparent synthetic resin, and is rectangular tabular, and the middle part has the figure hole, and the edge is carved with the metric and English chi, it is characterized in that:
Described mathematics drawing template includes circle class drawing template, straight line class drawing template, triangle drawing template, polygon drawing template, solid geometry drawing template, curve and spheroid drawing template.
2. circle class drawing template in the mathematics drawing template according to claim 1, it is characterized in that: described circle class drawing template, in the portrayal of template middle part a graphometer is arranged, on this graphometer face, offer 4～6, become equally spaced concentric semi-round ring shape open-work, on the connecting portion between each the concentric semicircles looping pit on this graphometer face, the width of cloth that is carved with the numeral that indicates the semi arch radius value and 13 ° scale from the graphometer center to N15 is penetrated radial alignment, and N is 0 to 12 positive integer; On the plate face of graphometer periphery, also be carved with the circular through-hole of 6-8 diameter from 3mm-18mm, it is the longitudinal and transverse coordinate groove of the origin of coordinates that the edge of each open-work is carved with this round heart; Described each semi-round ring shape hole, the radius ratio desire of its male part camber line is drawn the little γ 1 of radius of circular arc, the radius ratio desire of its inner fovea part camber line is drawn the big γ 1 of radius of circular arc, and the big γ 1 of the radius ratio desire of above-mentioned each circular through-hole picture radius of a circle, and described γ 1 is the radius of drawing pen core.
3. straight line class drawing template in the mathematics drawing template according to claim 1 is characterized in that: described straight line class drawing template offers several and becomes level that equidistant row put to the rectangle open-work at the template middle part; On the connecting portion between the rectangular opening, being carved with spacing is the vertical groove of a series of Y-axis of 10mm in above-mentioned each level, and with level to the X-axis angle of cut become ± 30 °, ± 45 °, ± groove of 60 ° and ± 75 °.
4. triangle class drawing template in the mathematics drawing template according to claim 1, it is characterized in that: described triangle drawing template, at the first half central authorities of the template circular through-hole that to have a diameter be D, being carved with on the periphery of this circular through-hole with this round heart is the groove of coordinate in length and breadth of the origin of coordinates; Around this circular through-hole, being carved with circumscribed circle diameter respectively is equilateral triangle open-work, acute triangle open-work, right angled triangle open-work, isosceles triangle open-work, the obtuse triangle open-work of D, the base of described five triangle open-works is all parallel with the abscissa X-axis, and be carved with respectively on above-mentioned five leg-of-mutton three limits the intersection point a of angular bisector at expression this limit mid point m, this limit and diagonal angle and this limit and from its to the intersection point h of summit to vertical line that this limit is done, and be the groove of coordinate in length and breadth of the origin of coordinates with each leg-of-mutton circumscribed circle center of circle; At above-mentioned each triangle side, also have one with the isometrical circular through-hole of this inscribed circle of a triangle, and be carved with tangent this triangular-shaped profile line of this circular hole at the round open-work of this inscribe edge and be the coordinate line in length and breadth of the origin of coordinates with the incenter.
5. polygon class drawing template in the mathematics drawing template according to claim 1, it is characterized in that: described polygon drawing template, be connected to diameter on template, having and be the circular groove of D the square open-work, in be connected to quadrangle open-work that diameter is the round groove of D, rhombus open-work, outside to be cut in diameter be D
1The square open-work of round groove, being connected to diameter in the Lower Half of template has is D
2The regular hexagon open-work of round groove, and parallelogram open-work and isosceles trapezoid open-work are connected to diameter in described and are that the square open-work of round groove of D and quadrilateral hole periphery be carved with its circumscribed circle center of circle is the groove of coordinate in length and breadth of the origin of coordinates; Described other each polygon open-work periphery, being carved with respectively with the centre of figure is the groove of coordinate in length and breadth of the origin of coordinates.
6. solid geometry class drawing template in the mathematics drawing template according to claim 1, it is characterized in that: described solid geometry template, having two major axis at the template face first half is 2 ~ 3: 1 similar oval open-work, two tilting similar equilateral triangle open-works, two tilting square open-works, two tilting similar regular pentagon open-works, two tilting regular hexagon open-works to the ratio of minor axis; All be carved with the groove of representing major axis and minor axis at described two oval open-work peripheries, be carved with the groove and the groove of representing each limit mid point m of the expression spatial coordinate axle of figure mid point at described equilateral triangle open-work periphery; At the periphery of described tilting square open-work, regular pentagon open-work and regular hexagon open-work, all be carved with the groove of representing the spatial coordinate axle respectively of figure mid point; Be provided with in the Lower Half of template be used to draw positive tetrahedron, draw monocline hexahedron and regular hexahedron, and three groups of drawing key elements of drawing regular octahedron; The key element of described drafting positive tetrahedron by a tilting equilateral triangle open-work, location path open-work as tetrahedron top the end of as, be that three the little triangle open-works of point location in three space arris and the connecting wheel profile on tetrahedron top and each summit of triangle open-work are formed, and mid point groove m is carved with in the outside, three limits of triangle open-work respectively, also is carved with the groove of the representation space coordinate of figure mid point at the described triangle open-work periphery of doing the end;
Describedly be used to draw regular hexahedron and the hexahedral drawing key element of monocline, by a tilting square open-work, one identical with described open-work and be the tilting square groove that parallel columns is put with it, each corresponding vertex of above-mentioned tilting square open-work and tilting square groove is made the groove of connection, cross the spatial coordinate groove that the figure mid point is done what described quadrangle open-work periphery was carved with, the spatial coordinate groove of on above-mentioned tilting square groove figure, being done of crossing the figure mid point, and the on line that connects above-mentioned quadrangle open-work center and quadrangle groove center is formed; The described drawing key element that is used to draw regular octahedron, by two go up the following groove of putting the expression spatial coordinate of crossing the open-work center that path location open-work, the octahedra summit up and down on summit under parallel and similar tilting square open-work, the conduct and connection groove, above-mentioned the next quadrangle open-work edge that four drift angles of above-mentioned quadrangle open-work connect mutually is carved with, and the spatial coordinate groove at the upper quadrangle open-work of the mistake center of being carved with at upper quadrangle open-work edge form, and the last summit of the base of above-mentioned upper quadrangle open-work and above-mentioned regular octahedron is crossing.
7. a curve and spheroid class drawing template in the mathematics drawing template according to claim 1, it is characterized in that described curve and spheroid drawing template, be carved with the drawing key element of the drawing key element of non-equilateral hyperbola of drafting and asymptotic drawing key element thereof, drafting equilateral hyperbola, the drawing key element of drawing parabolical drawing key element, drafting sine or cosine curve, the drawing key element of drawing ellipse, drafting spheroid class on the template;
Non-equilateral hyperbola of described drafting and asymptotic drawing key element thereof, is the rectangle open-work that center and its length of side are respectively a and b by one with origin in length and breadth, with one be bottom and be that the open-work on last base is formed with non-equilateral hyperbola with its conjugate hyperbolas, be carved with rectangular reticle that can coincide with the rectangle open-work and the groove that coincides with the rectangular opening diagonal in the bottom of this open-work; Described equilateral hyperbola and asymptotic drawing key element thereof, by one in length and breadth coordinate and one respectively with hyperbola XY=K
1And XY=K
2, K
1≠ K
2Open-work as last bottom is formed.
The parabolical drawing key element of described drafting is parabolic curve Y by the coordinate groove that is orthogonal and a dual side-edge
2=2PX and Y
2The closed figure open-work of=4PX is formed;
The drawing key element of described drafting sine or cosine curve is made up of the closed figure open-work that the coordinate groove that is orthogonal and one two limit are sine curve Y=Sin X and Y=2Sin X;
The drawing key element of described drafting spheroid class is groove, can form for the heavy mutually oval open-work of several oval grooves of certain certain value with the ratio of above-mentioned major axis and minor axis respectively for the oval groove of certain certain value and several with the ratio of the less some major axis of other major axis radius and minor axis of the circumscribed circle of radius by an oval open-work, with the open-work major axis.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN2009202162359U CN201501222U (en) | 2009-09-18 | 2009-09-18 | Mathematical drawing template |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN2009202162359U CN201501222U (en) | 2009-09-18 | 2009-09-18 | Mathematical drawing template |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN201501222U true CN201501222U (en) | 2010-06-09 |
Family
ID=42452161
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN2009202162359U Expired - Fee Related CN201501222U (en) | 2009-09-18 | 2009-09-18 | Mathematical drawing template |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN201501222U (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103164703A (en) * | 2011-12-16 | 2013-06-19 | 江南大学 | Method for confirming center of ellipse in machine vision rapidly |
-
2009
- 2009-09-18 CN CN2009202162359U patent/CN201501222U/en not_active Expired - Fee Related
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103164703A (en) * | 2011-12-16 | 2013-06-19 | 江南大学 | Method for confirming center of ellipse in machine vision rapidly |
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Granted publication date: 20100609 Termination date: 20160918 |