Mathematical teaching aid for drawing and drawing method thereof

文档序号:1331764 发布日期:2020-07-17 浏览:16次 中文

阅读说明:本技术 一种绘制用数学教具及其绘制方法 (Mathematical teaching aid for drawing and drawing method thereof ) 是由 凌思兰 于 2020-04-07 设计创作,主要内容包括:一种绘制用数学教具及其绘制方法,包括黑板上沿、黑板下沿、上扣部、下扣部、竖杆、定杆、圆规部、规体。上扣部与黑板上沿的上沿孔配合以固定,下扣部与黑板下沿的下沿孔配合以实现固定,上扣部和下扣部共同实现竖杆的固定,竖杆离开黑板一定距离,以使得定杆能将规部固定在黑板上。该教具能够实现脱离双手而使规部在黑板的多个位置稳定的固定,使得稳定的绘制椭圆成为可能。(A mathematical teaching aid for drawing and a drawing method thereof comprise a blackboard upper edge, a blackboard lower edge, an upper buckling part, a lower buckling part, a vertical rod, a fixed rod, a compass part and a compass body. The upper buckling part is matched with the blackboard in the way of fixing the upper edge hole on the upper edge, the lower buckling part is matched with the blackboard in the way of fixing the lower edge hole on the lower edge, the upper buckling part and the lower buckling part jointly realize the fixation of the vertical rod, and the vertical rod leaves the blackboard at a certain distance so that the fixed rod can fix the gauge part on the blackboard. The teaching aid can realize the stable fixation of the gauge part at a plurality of positions of the blackboard by separating from two hands, so that the stable ellipse drawing becomes possible.)

1. The utility model provides a drawing is with mathematics teaching aid which characterized in that:

comprises a blackboard upper edge (1), a blackboard lower edge (2), an upper buckling part (3), a lower buckling part (4), a vertical rod (5), a fixed rod (6) and a compasses part (7);

the blackboard upper edge (1) is provided with a group of uniformly distributed upper edge holes (11) with upward openings, and each upper edge hole can allow an upper bolt (34) of the upper buckling part (3) to be inserted and fixed;

the blackboard lower edge (2) is provided with a group of uniformly distributed lower edge holes (21) with downward openings, and each lower edge hole can allow a lower bolt (44) of the lower buckle part (4) to be inserted and fixed;

the upper buckle part (3) is L-shaped when viewed from the left side and consists of an upper buckle top plate (31), an upper buckle horizontal part (32), an upper buckle vertical part (33) and an upper buckle (34), the lower part of the upper buckle top plate (31) is welded with the upper buckle horizontal part (32), the upper buckle horizontal part (32) and the upper buckle vertical part (33) are integrally formed and are hollow, and the upper buckle (34) is hollow cylindrical and is vertically welded and connected to the front end of the lower part of the upper buckle horizontal part (32);

the lower buckle part (4) is L-shaped when viewed from the left side and consists of a lower buckle top plate (41), a lower buckle horizontal part (42), a lower buckle vertical part (43) and a lower buckle (44), the upper part of the lower buckle top plate (41) is welded and connected with the lower buckle horizontal part (42), the lower buckle horizontal part (42) and the lower buckle vertical part (43) are integrally formed and are hollow, and the lower buckle (44) is hollow cylindrical and is vertically welded and connected to the front end of the upper part of the lower buckle horizontal part (42);

the vertical rod (5) is a hollow stainless steel vertical rod-shaped object with a square cross section and comprises an upper groove (51), a lower groove (52) and a group of vertical rod holes (53), the upper groove (51) is positioned at the upper end of the vertical rod (5) and has an upward opening and is matched with the lower end of the upper buckle vertical part (33), the lower groove (52) is positioned at the lower end of the vertical rod (5) and has a downward opening and is matched with the upper end of the lower buckle vertical part (43), and the group of vertical rod holes (53) are horizontal through holes uniformly distributed on the vertical rod from top to bottom; the size of the vertical rod hole (53) is matched with that of the outer rod (61);

the fixed rod (6) comprises an outer rod (61), a flange (611), an external thread (612), a threaded sleeve (613), an inner rod (62), an inner rod top plate (621), a top plate hole (622), a top plate screw (623) and a fixing bolt group (63);

the outer end of the outer rod (61) is inserted into one of the vertical rod holes (53) and penetrates out of the outer side, the annular protruding flange (611) abuts against the inner side of the vertical rod (5) to be tightly attached, the threaded sleeve (613) is screwed and fixed from the outer end sleeve of the outer rod (61), and the thread on the inner side of the threaded sleeve (613) is matched with the external thread on the outer rod (61); the inner side end of the inner rod (62) is connected with an inner rod top plate (621) parallel to the blackboard in a welding mode, the upper portion and the lower portion of the inner rod top plate (622) are respectively provided with a top plate hole (622), and a top plate screw (623) penetrates through the inner rod top plate and is tapped into the gauge body (71) to be fixed;

the fixing bolt group (63) consists of a fixing bolt (631), a fixing nut (632) and a gasket (633); the outer rod (61) and the inner rod (62) are respectively provided with a plurality of vertical through holes, the part of the outer rod (61) inward from the flange (611) is hollow, the fixing bolt (631) and the fixing nut (632) penetrate through a pair of through holes to fix the outer rod (61) and the inner rod (62) together, and the gaskets (633) are a pair and are respectively positioned between the fixing bolt (631) and the fixing nut (632) and the outer rod (61);

the compasses part (7) consists of a ruler body (71), a bolt hole (72), a left bolt (73), a left bolt hole (731), a left clamp (732), a left bolt head (733), a right bolt (74), a right bolt hole (741), a right clamp (742) and a right bolt head (743), wherein the ruler body (71) is a one-piece rectangular engineering plastic plate with a certain thickness, four corners of the ruler body are in a round angle shape, a plurality of bolt holes (72) which are bilaterally symmetrical are arranged on the ruler body in a position parallel to the inner rod (62), bolt body parts of the left bolt (73) and the right bolt (74) are respectively plugged into a pair of bolt holes (72) which are bilaterally symmetrical, the left bolt head (733) and the right bolt head (743) are exposed outside, one of a group of ropes (75) with a specific length is selected, the left side of the rope (75) penetrates through the upper opening of the left bolt hole (731) and penetrates out of the left opening, and the end part of the extended rope (75) is fixed by the left clamp (, the left side of the rope (75) is inserted into the upper opening of the right keyhole (741) and is penetrated out from the right opening, and the end of the extended rope (75) is fixed by a right clamp (742).

2. A mathematical teaching aid for drawing according to claim 1, wherein:

an extremely thin polyurethane layer adhered by 3M glue is adhered inside each of the upper edge hole and the lower edge hole;

an extremely thin polyurethane layer adhered by 3M glue is adhered inside each bolt hole (72), and the opening close to the bolt hole (72) is slightly thick;

the upper buckle top sheet (31), the upper buckle horizontal part (32), the upper buckle vertical part (33) and the upper bolt (34) are all made of stainless steel, and a polyurethane veneer is adhered to one surface, close to the wall, of the upper buckle top sheet (31);

the lower buckle top plate (41), the lower buckle horizontal part (42), the lower buckle vertical part (43) and the lower bolt (44) are all made of stainless steel, and a polyurethane veneer is adhered to one surface, close to the wall, of the lower buckle top plate (41);

the left clamp (732) and the right clamp (742) are both specially-made long-tail clamps, the friction force is enhanced by adhering polyurethane at the clamping position, the cross sections of the tail parts of the left clamp and the right clamp are provided with holes through which the ropes can directly extend, and the ropes (75) are provided with a plurality of pre-marked scale marks.

3. An ellipse drawing method using the mathematical teaching aid for drawing as claimed in claim 2, comprising the steps of:

(1) pre-fixing a fixed rod: the flange (611) of the outer rod (61) is tightly pressed against the inner side of the vertical rod (5) and is tightly fixed by a screw sleeve (613) at the outer side, the gauge body (71) is fixed on the inner rod (62), and the inner rod (62) is plugged into the outer rod (61) to the deepest part;

(2) determining a vertical position: determining a vertical position at which an ellipse is to be drawn, determining a pair of upper edge hole (11) and lower edge hole (21) corresponding to the position, inserting an upper bolt (34) into the upper edge hole (11) and enabling an upper buckling top plate (31) to be propped against the wall body at the upper part of the blackboard, inserting a lower bolt (44) into the lower edge hole (21) and enabling a lower buckling top plate (41) to be propped against the wall body at the upper part of the blackboard, and enabling an upper groove (51) and a lower groove (52) to be propped and fixed with the lower end of an upper buckling vertical part (33) and the upper end of a lower buckling vertical part (43) respectively;

(3) adjusting and fixing the gauge: the inner rod (62) is pushed out towards the blackboard direction and is tightly pushed, a group of through holes in the inner rod (62) and the outer rod (61) are aligned, and the inner rod (62) and the outer rod (61) are fixed through a fixing bolt (631), a fixing nut (632) and a gasket (633);

(4) two bolt fixing steps: through multiple tests, a preset table is made according to measured data, the position of a keyhole (72) corresponding to the size of an ellipse to be drawn and the length of a rope (75) are inquired according to the preset table, a certain position of the keyhole (72) is selected, a left bolt (73) and a right bolt (74) are inserted, two ends of the rope (75) penetrate out of a left end opening of a left keyhole (731) and a right end opening of a right keyhole (741) respectively, and a left clamp (732) and a right clamp (742) are fixed on the left side and the right side according to scale marks respectively;

(5) ellipse drawing step: downwards tensioning the rope (75) by using chalk with a pen cap, drawing the lower part of the ellipse, upwards tensioning the rope (75) by using the chalk with the pen cap, and drawing the upper part of the ellipse;

(6) and (5) drawing again: when the ellipse needs to be drawn at other positions, returning to the step (1), and drawing the ellipse at other positions of the blackboard again;

(7) dismantling: the upper buckle part (3), the lower buckle part (4), the vertical rod (5), the fixed rod (6) and the compass part (7) are all dismantled, and the drawn ellipse is used for teaching.

Technical Field

The invention relates to the technical field of math teaching aids, in particular to a math teaching aid for drawing and a drawing method thereof.

Background

In the process of geometric teaching, an ellipse is often required to be drawn, particularly when a geometric subject is analyzed, but no good ellipse drawing teaching aid exists in reality, most of the existing ellipse drawing teaching aids are simple small devices and can be used for drawing the ellipse, but fixing is difficult to achieve, for example, CN204236096U and CN203766336U cannot be achieved only by some simple sucker devices, and one problem cannot be solved, namely, the ellipse drawing aid can be held or pressed by one hand, particularly under the condition of large size, drawing by one single hand is difficult, the left hand is difficult to draw by the right hand, the right hand is difficult to draw by the left hand, and the teaching aid is necessary to be pressed by one hand, namely, the teaching aid has defects from the beginning. If the teaching aid is not used, a teacher often draws an ellipse on a writing board through experience of the teacher, the drawn ellipse track is irregular and unsmooth, and the teaching aid required for drawing the ellipse through a definition method is complex and is not easy to operate.

In basic level mathematical education at present, need urgently a simple good ellipse drawing instrument of usefulness, but do not have this kind of instrument among the prior art, aforementioned instrument is simple easy-to-use, but has very big problem on drawing degree of difficulty and stability, hardly realizes better ellipse drawing effect

Disclosure of Invention

The invention aims to solve the technical problems that firstly, a novel ellipse drawing tool is provided, the problem that the existing ellipse drawing tool is too simple and crude is completely solved, secondly, the ellipse is drawn simply and easily on the premise of not increasing too much cost, the drawing mode is stable, and the drawn ellipse has high quality.

In order to achieve the purpose, the invention provides the following technical scheme: in order to solve the technical problems, the invention provides the following technical scheme:

the utility model provides a drawing is with mathematics teaching aid which characterized in that: comprises a blackboard upper edge, a blackboard lower edge, an upper buckling part, a lower buckling part, a vertical rod, a fixed rod and a compasses part.

The blackboard upper edge is provided with a group of uniformly distributed upper edge holes with upward openings, and each upper edge hole can allow the upper bolt of the upper buckling part to be inserted and fixed.

The blackboard is characterized in that a group of uniformly distributed lower edge holes with downward openings are formed in the lower edge of the blackboard, and each lower edge hole can allow a lower bolt of the lower buckling part to be inserted and fixed.

The upper buckle part is L-shaped when viewed from the left side and is formed by an upper buckle top plate, an upper buckle horizontal part, an upper buckle vertical part and an upper buckle, the lower part of the upper buckle top plate is welded and connected with the upper buckle horizontal part, the upper buckle horizontal part and the upper buckle vertical part are integrally formed and are hollow, and the upper buckle is hollow cylinder-shaped and is vertically welded and connected with the front end of the lower part of the upper buckle horizontal part.

The left side of the lower buckling part is L-shaped, the lower buckling part is composed of a lower buckling top plate, a lower buckling horizontal part, a lower buckling vertical part and a lower fastening part, the upper part of the lower buckling top plate is connected with the lower buckling horizontal part in a welding mode, the lower buckling horizontal part and the lower buckling vertical part are integrally formed and are hollow, and the lower fastening part is in a hollow cylinder shape and is vertically connected with the front end of the upper part of the lower buckling horizontal part in a welding mode.

The vertical rod is a hollow stainless steel vertical rod-shaped object with a square cross section and comprises an upper groove, a lower groove and a group of vertical rod holes, wherein the upper groove is positioned at the upper end of the vertical rod and provided with an upward opening and is matched with the lower end of the upper buckle vertical part, the lower groove is positioned at the lower end of the vertical rod and provided with a downward opening and is matched with the upper end of the lower buckle vertical part, and the group of vertical rod holes are horizontal through holes uniformly distributed on the vertical rod from top to bottom; the size of the vertical rod hole is matched with that of the outer rod.

The fixed rod comprises an outer rod, a flange, external threads, a threaded sleeve, an inner rod top plate, a top plate hole, a top plate screw and a fixing bolt group.

The outer end of the outer rod is inserted into a certain vertical rod hole and penetrates out of the outer side, the annular convex flange abuts against the inner side of the vertical rod and is tightly attached to the inner side of the vertical rod, the threaded sleeve is screwed and fixed from the outer end sleeve of the outer rod, and the thread on the inner side of the threaded sleeve is matched with the external thread on the outer rod; the inner side end of the inner rod is connected with an inner rod top plate parallel to the blackboard in a welding mode, a top plate hole is formed in each of the upper portion and the lower portion of the inner rod top plate, and a top plate screw penetrates through the top plate holes and is tapped into the gauge body to be fixed.

The fixing bolt group consists of a fixing bolt, a fixing nut and a gasket; the outer rod and the inner rod are respectively provided with a plurality of vertical through holes, the part of the outer rod, which faces inwards from the flange, is hollow, the fixing bolt and the fixing nut penetrate through the pair of through holes to fix the outer rod and the inner rod together, and the gaskets are in a pair and are respectively positioned between the fixing bolt and the fixing nut and the outer rod.

The compasses part comprises the compasses body, keyhole, left bolt, left keyhole, left clamp, left tie head, right bolt, right keyhole, right clamp, right tie head, and the compasses body is a monoblock rectangle engineering plastic board that has certain thickness and four corners is the fillet form, and the position parallel to interior pole has a plurality of keyhole of bilateral symmetry on it, the bolt body part of left bolt and right bolt is respectively plugged in a pair of keyhole of bilateral symmetry, and exposes left tie head and right tie head in the outside, selects one that has specific length in a set of rope, penetrates the left side of rope and wears out from the left side mouth from the last mouth in left side keyhole to it is fixed with the left clamp to press from both sides with the rope tip that stretches out, penetrates the left side of rope and wears out from the right side mouth from the last mouth in right side keyhole, and presss from the right side with the right clamp to the rope tip that will stretch out.

Further, an extremely thin polyurethane layer adhered by M glue is adhered to the inner part of each of the upper edge hole and the lower edge hole.

An extremely thin polyurethane layer adhered by M glue is adhered inside each of the bolt holes, and the thickness of the polyurethane layer is slightly larger at the position close to the opening of the bolt hole.

The upper buckle top plate, the upper buckle horizontal part, the upper buckle vertical part and the upper bolt are all made of stainless steel materials, and a polyurethane veneer is pasted on one surface, close to the wall, of the upper buckle top plate.

The lower fastening top plate, the lower fastening horizontal part, the lower fastening vertical part and the lower fastening are all made of stainless steel materials, and a polyurethane veneering is pasted on one surface, close to the wall, of the lower fastening top plate.

The left clamp and the right clamp are both specially-made long-tail clamps, friction force is enhanced by adhered polyurethane at clamping positions, holes enabling the ropes to directly extend out are formed in the sections of the tail portions of the left clamp and the right clamp, and a plurality of pre-marked scale marks are arranged on the ropes.

Further, the method for drawing the ellipse is carried out by using the mathematical teaching aid for drawing, and specifically comprises the following steps: 1) pre-fixing a fixed rod: the flange of the outer rod is tightly propped against the inner side of the vertical rod and is screwed and fixed by the threaded sleeve on the outer side, the gauge body is fixed on the inner rod, and the inner rod is plugged into the outer rod to the deepest part.

2) Determining a vertical position: determining a vertical position at which an ellipse is to be drawn, determining a pair of upper edge hole and lower edge hole corresponding to the position, inserting an upper bolt into the upper edge hole and enabling an upper buckling top plate to prop against a wall body at the upper part of the blackboard, inserting a lower bolt into the lower edge hole and enabling a lower buckling top plate to prop against the wall body at the upper part of the blackboard, and enabling an upper groove and a lower groove to be tightly fixed with the lower end of the upper buckling vertical part and the upper end of the lower buckling vertical part respectively.

3) Adjusting and fixing the gauge: the inner rod is pushed out towards the blackboard direction and is tightly pushed, a group of through holes in the inner rod and the outer rod are aligned, and the inner rod and the outer rod are fixed through fixing bolts, fixing nuts and gaskets.

4) Two bolt fixing steps: through many times of experiments, according to the preset table of actual measurement data preparation, according to the position of the keyhole that the oval size that preset table inquiry will be drawn corresponds and the length of rope, select certain keyhole position and tie with the left side and tie with the right side and insert to wear out respectively the left end opening of left keyhole and the right end opening part of right keyhole with the both ends of rope, and press from both sides with the left side respectively and press from both sides with the right side and fix according to the scale mark in the left and right sides.

5) Ellipse drawing step: and (3) downwards tensioning the rope by using chalk with a pen cap to draw the lower part of the ellipse, upwards tensioning the rope by using the chalk with the pen cap to draw the upper part of the ellipse.

6) And (5) drawing again: and when the ellipse needs to be drawn at other positions, returning to the step 1, and drawing the ellipse at other positions of the blackboard again.

7) Dismantling: and (4) dismantling the upper buckling part, the lower buckling part, the vertical rod, the fixed rod and the compass part, and teaching by using the drawn ellipse.

Compared with the prior art, the invention has the beneficial effects that: 1) the ellipsograph in the prior art is a simple appliance, namely the ellipsograph needs to be supported by one hand and drawn by one hand, the firmness is poor, but the elliptic drawing has high requirements on the firmness of the appliance. 2) Through a plurality of tests, a preset table is made according to the measured data, and the position of the keyhole 72 and the length of the rope 75 corresponding to the size of the ellipse to be drawn are inquired according to the preset table, so that the ellipse with the size can be drawn very simply and conveniently without field measurement and adjustment. 3) The application is simple, easy to use, firm and reliable, and similar or similar products do not exist in the prior art.

Drawings

Fig. 1 is a left side view of the main body of the teaching aid of the present invention.

Fig. 2 is a schematic front view of the upper and lower edges of a blackboard with which the teaching aid is fitted.

Fig. 3 is a left side view and a front view of the upper buckle portion.

Fig. 4 is a left side and front view of the lower buckle portion.

Fig. 5 is a front view of the vertical bar.

Fig. 6 is a detailed component view of the stationary bar from the left.

Fig. 7 is a front detail view of the gauge.

Fig. 8 is a bottom view of the gauge with details of the central portion omitted.

The front view is a direction perpendicular to the blackboard, the left view is a view seen from the right side of the blackboard, and the bottom view is a view seen from below the blackboard. The reference numerals in the figures have the meaning: 1. the blackboard comprises a blackboard upper edge, 11, an upper edge hole, 2, a blackboard lower edge, 21, a lower edge hole, 3, an upper buckle part, 31, an upper buckle top plate, 32, an upper buckle horizontal part, 33, an upper buckle vertical part, 34, an upper bolt, 4, a lower buckle part, 41, a lower mouth top plate, 42, a lower buckle horizontal part, 43, a lower buckle vertical part, 44, a lower bolt, 5, a vertical rod, 51, an upper groove, 52, a lower groove, 53, a vertical rod hole, 6, a fixed rod, 61, an outer rod, 611, a flange, 612, an external thread, 613, a thread sleeve, 62, an inner rod, 621, an inner rod top plate, 622, a top plate hole, 623, a top plate screw, 63, a fixed bolt group, 631, a fixed bolt, 632, a fixed nut, 633, a gasket, 7, a compasses part, 71, a gauge body, 72, a bolt hole, 73, a left bolt, 731, a left bolt hole, a left clamp, 733, a left bolt head, 74, a right bolt hole, 742, a.

Detailed Description

The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.

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