CN87200755U - Combined mathematical dynamic demonstrator - Google Patents

Abstract

The utility model provides a frame combined dynamic demonstrator for using in the middle school mathematics and the geometric mathematics, which is characterized in that the components are few, assembly and connection are simple, and the main component is metal rods which can be expanded, contracted and rotated. The rods are connected through male pins, and various geometric body frame bodies can combined only needing adjust the number of the rods. The length and the angle of the expansion and contraction rods are adjusted, and each body can generate various variations. The demonstrator can demonstrate the mutual transformation relationship of a cone and cone table utilizing the combination of a rubber band and a circular ring. If a magnetic blackboard is matched, various combined body frames can be hung on the wall.

Description

Combined mathematical dynamic demonstrator

The utility model relates to the combination dynamic demonstrator that a kind of middle school several teaching is used.

The CN85203020U patent provides a kind of " sleeve pipe matching type solid mathematics apparatus ", this apparatus is when the knowledge of learning mathematics subject " solid geometry " part and relevant space diagram thereof, more solid and hollow " solid " model of Shi Yonging was had large improvement, but the basic framework that needs 9 kinds of fixed size when using owing to this apparatus, have breach on the framework, every kind of framework needs several specifications again, its web member has several specifications, though can connect out multiple figure, but owing to the size of basic framework is fixed, thereby the solid of being formed is big or small and shape can not arbitrarily be adjusted variation.

Task of the present utility model is to overcome the weak point of said structure, and the dynamic demonstrator that provides a kind of physique structure to change.

Task of the present utility model realizes by following measure:

The bar of the scalable rotation of three sections compositions coupled together with pin can constitute multiple solid frame model, only need increase the quantity of expansion link, the length of push-and-pull expansion link, the angle of adjusting expansion link can change the shape and the size of solid.

On every bar, be with the loose collar that to pass, be connected with the perforated metal sheet by pin, in order to connect the usefulness of bungee at bar and bar tie point.

When three bars joined, bar two ends wherein were threaded pin.

All bars are all manufactured with iron quality metal material, composite entity can be adsorbed on the magnet board during use.

Several bungees and slide block, annulus are connected as a single entity, and the middle guide rod that inserts can be demonstrated cylinder, circular cone, frustum and mutual transforming relationship thereof, as annulus being changed to the square frame body, then can demonstrate quadrangular, pyramid, frustum and mutual transforming relationship thereof.

Expansion link and annulus connect can demonstrate circle curtain theorem together.

Fig. 1 is the structural drawing of expansion link.

Fig. 2 is the triangle that three bars connect.

Fig. 3 transforms pattern schematic figure for triangle.

Fig. 4 is the square that four bars connect.

Fig. 5～Fig. 8 is the synoptic diagram that square transforms body.

Fig. 9 is the square synoptic diagram.

Figure 10 is the rectangular parallelepiped synoptic diagram.

Figure 11 is cone demonstrator structure figure.

Figure 12 is slide block structure figure.

Figure 13 is circular ring structure figure.

Figure 14 is the middle footpath composition that hardens.

Figure 15 is the synoptic diagram of circle power theorem demonstration.

The utility model will be further described below in conjunction with the embodiment in the accompanying drawing:

King-rod (5) is a metal straight pipe, end bar (3,7) be solid metal, illustrate two kinds of end bars (3,7) right-hand member is equipped with pillow block (4,8), the left end of end bar (3) becomes 30 degree angles (2) to locate to cut out a plane along the diameter of axle, be processed with pin hole (1) on the plane, end bar (7) left end is made the shape of threaded pin (6), is useful elastic cord loose collar that make or that plastics are manufactured (9) on the king-rod (5), with two butt bars (3,3 or 3,7 or 7,7) two ends that pillow block (4,8) inserts king-rod respectively roll out groove (11) then at the two ends of king-rod, in case break away from during pull, so just finished the assembling of flexible swingle, with pin the pin hole of two expansion links being connected together during use to be combined into the framed structure of various bodies, when connecting with pin, can in the middle of the plane of two boom ends, clamp a perforated metal sheet (10), use during for the connection bungee.

The body that utilizes this flexible swingle to form has variable advantage, and lifting several bodies that connect below is that example is explained:

Three flexible swingles are connected from beginning to end can form triangle (Fig. 2) together, leg-of-mutton three expansion links of pull (21,22,23) can be controlled leg-of-mutton angle respectively, and pumping rod (21,22,23) can be controlled leg-of-mutton size simultaneously.

Connect with four flexible swingles and can obtain square (Fig. 4) together, the foursquare summit of push-and-pull can obtain various quadrilaterals (trapezoidal (Fig. 5), parallelogram, rhombus (Fig. 6), rectangle), two summits (diagonal angle) doubling can be converted into quadrilateral space (Fig. 7, Fig. 8), press Fig. 7, connect bungee among Fig. 8 shown in the dotted line like that, the two ends of bungee are installed with the hook of manufacturing with pin, the hook of bungee is hooked on the loose collar on the bar can be converted into multiple bodies such as triangular pyramid and quadrilateral space cross section, loose collar can be passed the position of needs on bar, because loose collar has elasticity,, can control the size of body as tetragonal four bars of while pull so also can not produce slip when not using, as increase the quantity of expansion link, can be combined into pentagon, hexagon ...

As with two kinds of end bars (3,7) expansion link is used, can be combined into various space framework bodies, this body also can produce multiple variation, square as shown in Figure 9, one group of four parallel rib of pull can change into rectangular parallelepiped (Fig. 9 simultaneously, A ' B ' C ' D '), two long ribs (or short rib) to a certain direction push-and-pull rectangular parallelepiped end face can be converted into trapezoid body (Figure 10) on this basis, the length of adjusting each bar simultaneously can be controlled the size of body, if increase the quantity of expansion link, can be combined into various gengons.

Figure 11 is the composition of cone demonstrator, by annulus (12,13,14), slide block (15), guide rod (16), bungee (17) constitutes, bungee lies in respectively on annulus (12) and the slide block (15), guide rod (16) passes that the pilot pin (19) on the footpath plate (18) is combined into one in the center pit of slide block and the annulus, annulus (13) encloses within bungee, annulus (14) is placed in outside the bungee, when annulus (13) and annulus (12) when overlaping, rise slide block (15), stretching bungee forms a cone from top to bottom, rise annulus (13), be right cylinder for the cone bottom on the annulus (13), when being inserted in annulus (14), be cone on the annulus (14), annulus (13,14) between the frustum of a cone, annulus (12,13) be right cylinder between, adjust the height and position of annulus (13,14), can demonstrate cylinder, circular cone, frustum and mutual relationship thereof are if replace annulus can demonstrate quadrangular with quadrilateral frame, rectangular pyramid, truncated rectangular pyramids and mutual relationship thereof.

Is that the expansion link of pin hole passes a pin hole on the annulus with an end for the threaded other end, and it is screwed diameter place at annulus, pull out an expansion link end (Figure 15) with holes then, loose collar on the mobile annulus, can from circumference connect bungee (dotted line Figure 15) to this hole everywhere, can be used for demonstrating straight line intersects (circle curtain theorem) with circle various relations.

Claims (7)

1, a kind of frame-type combination dynamic demonstrator is made of pin and flexible swingle, it is characterized in that every bar is composed in series by two butt bars and a king-rod, and bar and bar connect by pin.

2, demonstrator according to claim 1 is characterized in that holding an end-grain cutting of bar that the plane is arranged, and has the connection pin hole on the plane, and the other end has a pillow block.

3, demonstrator according to claim 1 is characterized in that holding an end of bar is threaded pin.

4, demonstrator according to claim 1 is characterized in that being with on the bar loose collar.

5, the dynamic cone demonstrator of a kind of combination is made up of annulus, slide block, guide rod, bungee, it is characterized in that there is a connecting plate at the diameter place of annulus, slide block be shaped as cone structure, by guide rod slide block, bungee and annulus are combined into one.

6, demonstrator according to claim 5 is characterized in that the diameter place of annulus is connected with expansion link.

7, demonstrator according to claim 5 is characterized in that having connecting hole on the edge of annulus.

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