CN203882484U - A track-type two circle position relation demonstration instrument - Google Patents

Abstract

The utility model relates to a track-type two circle position relation demonstration instrument. A round sleeve ring is fixedly installed on a track groove; the side of the round sleeve ring is provided with a moving disc entry and exit groove; one side of the moving disc entry and exit groove is movably provided with a moving disc which is fixedly installed on the top of a sliding strip; the sliding strip is movably installed in the track groove; the internal diameter of the round sleeve ring is not less than the diameter of the moving disc; the round sleeve ring is provided with a first round sleeve ring connecting line and a second round sleeve ring connecting line which are perpendicular to each other and intersect at the center; and the moving disc is provided with a first moving disc connecting line and a second moving disc connecting line which are perpendicular to each other and intersect at the center. The track-type two circle position relation demonstration instrument can directly and clearly demonstrate the five position relations between two circles. As a teaching aid, the instrument enables the related teaching to be visualized, facilitates understanding, can raise the learning initiative of students and trigger learning interest and thinking, and can assist the students in digesting the knowledge.

Description

A kind of rail mounted two circle position relationship demonstrators

Technical field

The utility model relates to a kind of mathematics teaching aid, is specifically related to a kind of mathematics teaching aid demonstrator, particularly a kind of rail mounted two circle position relationship demonstrators.

Background technology

Circle is a kind of geometric figure.In the time that a line segment planar rotates a circle around its end points, the track of its another end points is called circle.Radius length with circle inner circle is forever identical, and circle has or not several radiuses and without several diameters.Meanwhile, circle is again " just unlimited polygon ", and " infinitely " just concept, so, there is no in the world real circle.In the time that polygonal limit number is more, its shape, girth, area are just all got over close to circle.So in fact circle is conceptual figure.

In the time introducing five kinds of position relationships of circle and circle, traditional demenstration method is on blackboard, to draw respectively corresponding figure, and studies contacting between the quantitative relations between itself and two circle distance of center circle d and two radius of circles, between every kind of position relationship, disconnects, cannot present the conversion process of quantitative change to qualitative change, lack overall contiguity, intuitive is not strong, interesting poor, little to student's attractive force, bad acceptance, bad understanding, and the trouble of drawing is time-consuming, and the demonstration efficiency of giving lessons is low.

Make the active state of animation with computing mechanism and demonstrate five kinds of position relationships of circle and circle, but be limited to the level of information technology and hardware condition, its application is not that easily object visual also has wide space and certain superiority, and instrument room does not but have off-the-shelf equipment.Therefore, provide a kind of structure letter simple, easy to operate, easy to make, cost is low, and demonstration effect and efficiency are obvious, visual and understandable, and a kind of rail mounted two circle position relationship demonstrators that stability is strong, have wide market outlook.

Summary of the invention

For the deficiencies in the prior art, the utility model provides that a kind of structure letter is simple, easy to operate, easy to make, cost is low, demonstration effect and efficiency is obvious, visual and understandable, stability is strong a kind of rail mounted two circle position relationship demonstrators.

The technical solution of the utility model is such realization: a kind of rail mounted two circle position relationship demonstrators, comprise rail groove, on described rail groove, be installed with circular ring, be provided with movable disc discrepancy groove at the side opening of circular ring, one side of movable disc discrepancy groove is movably installed with movable disc, movable disc is fixedly mounted on the top of draw runner, draw runner is movably arranged on the inside of rail groove, the internal diameter of described circular ring is not less than the diameter of movable disc, on circular ring, be provided with the first circular ring line and the second circular ring line that are mutually vertically intersected on the center of circle, in movable disc, be provided with the first movable disc line and the second movable disc line that are mutually vertically intersected on the center of circle.

The top, middle part of described rail groove offers opening, movable disc is fixedly mounted on the draw runner top of this aperture position, the bottom of movable disc and movable disc are come in and gone out groove in same level, the come in and go out groove depth of groove of movable disc is the half of circular ring external diameter, and movable disc is can be along with draw runner is by the movable disc circular platy structure that groove moves horizontally in circular ring of coming in and going out.

The second described circular ring line and the second movable disc line are on same straight line, and, the second circular ring line and the second movable disc line are all arranged on the transverse center position of draw runner, above the second circular ring line, be provided with and orthogonal the first circular ring line of the second circular ring line, above the second movable disc line, be respectively arranged with and orthogonal the first movable disc line of the second movable disc line, described the first circular ring line and the first movable disc line are parallel to each other.

Described rail groove is square groove shape structure, in rail groove, be movably installed with the draw runner of the square rod shaped structure cooperatively interacting with rail groove, the length of rail groove is less than the length of draw runner, on circular ring below described movable disc is come in and gone out groove, correspondence offers two square openings, rail groove is fixedly mounted in this hole, and the rail groove length of described circular ring one end is less than the length of circular ring other end rail groove.

The utlity model has following good effect: the letter of the utility model structure is simple, easy to operate, in use, can utilize the relative displacement of rail groove and draw runner to realize demonstration circle in the position relationship of circle, can intuitively clearly give expression to circle in circle five in position form, as a kind of teaching aid, make relevant teaching more directly perceived, be more conducive to understand; The study initiative of energy mobilizing students, causes learning interest and thinking, is beneficial to student's internalization knowledge; Be skillfully constructed, reasonable in design, simple in structure, stable performance, good looking appearance, easy operating; Draw materials easily, cheap, economical environment-protective, is imbued with innovation; Product, in when operation, has ideally ensured stationarity and the controllabilitys of two circle relative motions, and the ingehious design of circular ring and making have realized the continuitys of two circle relative motions, has ensured that movable disc enters circular ring inside to one heart from outside; Distance of center circle, two radius of circle threes and relevant and, poor line segment is with rule conllinear, and it is clear and definite to comprise that two centers of circle, every round heart come with two vertical diameters, all occurs with physical form, the size of relevant line segment is more also able to visualize; Apply more conveniently, display function is more powerful; Circular ring and movable disc are individually fixed on rail groove and draw runner, carry all the time two circles do relative translation campaign at presentation process middle orbit groove and draw runner, and its uninterrupted easy motion is important breakthrough.

Brief description of the drawings

Fig. 1 is main TV structure schematic diagram of the present utility model and uses one of status architecture schematic diagram.

Fig. 2 is two of use status architecture schematic diagram of the present utility model.

Fig. 3 is three of use status architecture schematic diagram of the present utility model.

Fig. 4 is four of use status architecture schematic diagram of the present utility model.

Fig. 5 is five of use status architecture schematic diagram of the present utility model.

Fig. 6 is six of use status architecture schematic diagram of the present utility model.

Fig. 7 is seven of use status architecture schematic diagram of the present utility model.

Fig. 8 is side-looking structural representation of the present utility model.

Embodiment

As Fig. 1, 2, 3, 4, 5, 6, 7, shown in 8, a kind of rail mounted two circle position relationship demonstrators, comprise rail groove 1, on described rail groove 1, be installed with circular ring 4, be provided with movable disc discrepancy groove 9 at the side opening of circular ring 4, one side of movable disc discrepancy groove 9 is movably installed with movable disc 3, movable disc 3 is fixedly mounted on the top of draw runner 2, draw runner 2 is movably arranged on the inside of rail groove 1, the internal diameter of described circular ring 4 is not less than the diameter of movable disc 3, on circular ring 4, be provided with the first circular ring line 5 and the second circular ring line 6 that are mutually vertically intersected on the center of circle, in movable disc 3, be provided with the first movable disc line 7 and the second movable disc line 8 that are mutually vertically intersected on the center of circle.

The top, middle part of described rail groove 1 offers opening, movable disc 3 is fixedly mounted on draw runner 2 tops of this aperture position, the bottom of movable disc 3 and movable disc are come in and gone out groove 9 in same level, the come in and go out groove depth of groove 9 of movable disc is half of circular ring 4 external diameters, and movable disc 3 is can be along with draw runner 2 is by the movable disc circular platy structure that groove 9 moves horizontally in circular ring 4 of coming in and going out.The second described circular ring line 6 and the second movable disc line 8 are on same straight line, and, the second circular ring line 6 and the second movable disc line 8 are all arranged on the transverse center position of draw runner 2, above the second circular ring line 6, be provided with and orthogonal the first circular ring line 5 of the second circular ring line 6, above the second movable disc line 8, be respectively arranged with and orthogonal the first movable disc line 7 of the second movable disc line 8, described the first circular ring line 5 and the first movable disc line 7 are parallel to each other.Described rail groove 1 is square groove shape structure, in rail groove 1, be movably installed with the draw runner 2 of the square rod shaped structure cooperatively interacting with rail groove 1, the length of rail groove 1 is less than the length of draw runner 2, on circular ring 4 below described movable disc is come in and gone out groove 9, correspondence offers two square openings, rail groove 1 is fixedly mounted in this hole, and rail groove 1 length of described circular ring 4 one end is less than the length of circular ring 4 other end rail grooves 1.

This product is mainly used in the teaching of ninth grade Mathematics Teaching Material " position relationship of circle and circle " related content, and student's Self-operating, to grasp and internalization relevant knowledge.Before use, this product is placed in special box, ensures that product carrying process is not rocked, do not rubbed, rapid wear not, has effectively ensured the serviceable life of teaching aid.When use, take out this product teaching aid, pull teaching aid to open to initial state from two ends, as shown in Figure 1.When concrete operations are used, slowly promote rail groove 1 and draw runner 2, two circles from two ends by far away and near, in its quantitative change process, present altogether five kinds of different conditions:

The state that Fig. 1 shows be two circles outer from, present intuitively two circle distance of center circle and be greater than two radius of circles, contribute to students two circles outer from position relationship;

Continue slowly to promote rail groove 1 and draw runner 2, two circles are by far away and near, the state that Fig. 2 shows is that two circles are circumscribed, circular ring 4 and movable disc 3 only have a common point, the line of centres of two circles is through point of contact, present intuitively two circle distance of center circle equal two radius of circles and, contribute to the circumscribed position relationship of students two circle;

Continue slowly to promote rail groove 1 and draw runner 2, two circles are by far away and near, the state that Fig. 3 and Fig. 4 show is that two circles intersect, in Fig. 3, two centers of circle are each other in the other side outside, in Fig. 4, two centers of circle are the inside of great circle at circular ring 4, can present more intuitively two circle distance of center circle be greater than two radius of circles poor and be less than two radius of circles and, contribute to the crossing position relationship of students two circle;

Continue slowly to promote rail groove 1 and draw runner 2, two circles by far away and near, the state showing in Fig. 5 is two circle inscribes, except unique common point, movable disc 3 is in the inside of circular ring 4, and presenting intuitively two circle distance of center circle, to equal two radius of circles poor, contributes to the position relationship of students two circle inscribes.

Continue slowly to promote rail groove 1 and draw runner 2, two circles by far away and near, the state that Fig. 6 and Fig. 7 show is that two circles include, and circular ring 4 and movable disc 3 do not have common point, and point in movable disc 3 is all in the inside of circular ring 4.As shown in Figure 7, circular ring 4 and movable disc 3 are concentric, are the special cases that two circles include.Fig. 6 and Fig. 7 all present intuitively two circle distance of center circle to be less than two radius of circles poor, and wherein two circle distance of center circle are zero with one heart time, the position relationship that contributes to students two circles to include.

Claims (4)

1. rail mounted two circle position relationship demonstrators, comprise rail groove (1), it is characterized in that: on described rail groove (1), be installed with circular ring (4), be provided with movable disc discrepancy groove (9) at the side opening of circular ring (4), one side of movable disc discrepancy groove (9) is movably installed with movable disc (3), movable disc (3) is fixedly mounted on the top of draw runner (2), draw runner (2) is movably arranged on the inside of rail groove (1), the internal diameter of described circular ring (4) is not less than the diameter of movable disc (3), on circular ring (4), be provided with the first circular ring line (5) and the second circular ring line (6) that are mutually vertically intersected on the center of circle, in movable disc (3), be provided with the first movable disc line (7) and the second movable disc line (8) that are mutually vertically intersected on the center of circle.

2. rail mounted two circle position relationship demonstrators according to claim 1, it is characterized in that: the top, middle part of described rail groove (1) offers opening, movable disc (3) is fixedly mounted on draw runner (2) top of this aperture position, the bottom of movable disc (3) and movable disc are come in and gone out groove (9) in same level, the groove depth of movable disc discrepancy groove (9) is the half of circular ring (4) external diameter, movable disc (3) is can be along with draw runner (2) is by the movable disc circular platy structure that groove (9) moves horizontally in circular ring (4) of coming in and going out.

3. rail mounted two circle position relationship demonstrators according to claim 1, it is characterized in that: the second described circular ring line (6) and the second movable disc line (8) are on same straight line, and, the second circular ring line (6) and the second movable disc line (8) are all arranged on the transverse center position of draw runner (2), be provided with in the top of the second circular ring line (6) and orthogonal the first circular ring line (5) of the second circular ring line (6), be respectively arranged with in the top of the second movable disc line (8) and orthogonal the first movable disc line (7) of the second movable disc line (8), described the first circular ring line (5) and the first movable disc line (7) are parallel to each other.

4. rail mounted two circle position relationship demonstrators according to claim 1, it is characterized in that: described rail groove (1) is square groove shape structure, in rail groove (1), be movably installed with the draw runner (2) of the square rod shaped structure cooperatively interacting with rail groove (1), the length of rail groove (1) is less than the length of draw runner (2), the upper correspondence of circular ring (4) below described movable disc is come in and gone out groove (9) offers two square openings, rail groove (1) is fixedly mounted in this hole, rail groove (1) length of described circular ring (4) one end is less than the length of circular ring (4) other end rail groove (1).