CN209433649U - A kind of mathematics solid geometry displaying device - Google Patents

Abstract

The utility model relates to a kind of mathematics solid geometry to show device, the relevant knowledge of circular cone volume often becomes dead angle and the difficult point of student in the existing mathematics solid geometry of effective solution, and student is also simply by memorize mechanicalling the calculation formula for remembeing circular cone volume, but do not know its reason, be even more easy the problem of misremembering back mistake or can not remember；Its technical solution solved be include show stand matrix and the displaying table top that is placed in show stand matrix upper end and is fixedly connected, show stand intrinsic silicon hollow upper end opening and upper end opening, which run through, shows table top, show stand intrinsic silicon offers material storage room, cone, cylindrical body, the cuboid that floor space and height are equal are placed with inside material storage room, cone, cylindrical body and cuboid use the identical identical material of density；Show stand intrinsic silicon is slidably matched along the vertical direction is provided with balance important actor, and balance important actor upper end is provided with balance unit；The utility model clever structure, practical, bandwagon effect is good.

Description

A kind of mathematics solid geometry displaying device

Technical field

The utility model relates to mathematical education equipment technical field, specifically a kind of mathematics solid geometry shows device.

Background technique

Mathematically, solid geometry is traditional title of the geometry of three dimensional euclidean space；Stereo mapping processing not homomorphs The measurement problem of volume: cuboid, cylinder, circular cone, frustum, ball, prism etc.；Pythagorean School just processes ball and just Polyhedron, but cuboid, circular cone and the cylinder people before processing is set about by Plato school know little.You get Sai Si (Eudoxus) their mensuration is established, it was demonstrated that circular cone is the one third of the contour cylindrical volume in equal bottoms；

It is well known that cylinder and cuboid volume are all that floor space multiplies height, circular cone volume is equal to 1/3 floor space and multiplies height, i.e., It is equal to cuboid with the contour cylindrical volume in bottom, is three times of circular cone volume with the contour cylindrical volume in bottom, although student can It is better understood from the concept meaning of circular cone volume, but the calculating of its volume is excessively abstract, especially circular cone volume is it with bottom etc. The one third of high cylindrical body, the reasoning of this formula are even more that rather difficulty is said, thus the relevant knowledge of circular cone volume often at Dead angle and difficult point for student, and student also remembers this formula simply by memorize mechanicalling, and does not know its reason but, even more It is easy to misremember back mistake or can not remember；

Therefore, the utility model provides a kind of mathematics solid geometry and shows device to solve the above problems.

Utility model content

For above situation, for the defect for overcoming the prior art, the utility model provides a kind of mathematics solid geometry displaying Device, the relevant knowledge of circular cone volume often becomes dead angle and the difficulty of student in the existing mathematics solid geometry of effective solution Point, and student does not know its reason but simply by the calculation formula for remembeing circular cone volume is memorize mechanicallyd yet, and is even more easy to misremember The problem of back is wrong or can not remember.

The utility model is that a kind of mathematics solid geometry shows device, which is characterized in that including show stand matrix and is placed in The displaying table top that show stand matrix upper end is fixedly connected, the show stand intrinsic silicon hollow upper end is open and upper end opening runs through Show that table top, the show stand intrinsic silicon offer material storage room, floor space are placed with inside the material storage room and height is homogeneous Deng cone, cylindrical body, cuboid, the cone, cylindrical body and cuboid use the identical identical material of density；

The show stand intrinsic silicon is slidably matched along the vertical direction is provided with balance important actor, and balance important actor upper end is set It is equipped with balance unit.

Preferably, the " T " shaped sliding block of balance important actor lower part rear and front end fixed setting, in the show stand matrix Portion offers the corresponding " T " shaped sliding slot of shape, and the sliding block is in sliding fit with the sliding chute setting；

The side of the balance important actor is fixed with guide pin, is arranged along the vertical direction in the show stand intrinsic silicon cavity There is the groove cam for the setting that is rotatably assorted with the show stand matrix, the surface of the groove cam offers slideway, described to lead It is slidably matched setting to pin and the second slideway, when so that the groove cam rotating, drives balance important actor reciprocal along the vertical direction Movement；

The groove cam coaxial is fixedly connected with turbine, and the turbine is engaged with worm screw, and the worm screw is fixed with extension Turning handle to show stand matrix.

Preferably, the material storage room is provided with along the opening-closing plate for showing that table-board to right or left direction is slidably matched, the opening-closing plate " T " shaped second sliding block that upper end is fixedly installed in left-right direction, it is corresponding "T"-shaped that the displaying table top lower end offers shape Second sliding slot, second sliding block and second sliding slot are slidably matched setting；

The opening-closing plate lower end is fixedly installed rack gear in left-right direction, and the worm screw has been fixedly and coaxially connected to nibble with rack gear The second gear of conjunction.

Preferably, the balance unit includes the " u "-shaped rotation slot that balance important actor upper end is fixedly connected, in the rotation slot Portion, which is rotatably assorted, is provided with weight bean, and the weight bean two sides are respectively and fixedly provided with pallet, and the rotation slot along the longitudinal direction match by screw thread Conjunction is provided with screw rod, and one end that the screw rod is placed in inside rotation slot is fixed with latch segment, and the latch segment is when screw rod rotates Compressible weight bean.

Preferably, it is slidably matched at the displaying table top upper end opening and is provided with upper cover plate, opened inside the displaying table top Cover board slideway equipped with upper cover plate, the upper cover plate can slide into completely inside cover board slideway.

Preferably, the upper cover plate upper end is fixed with push-pull handle, described to show that table top is offered and be connected to cover board slideway Push-pull handle slideway.

Preferably, the displaying table top upper end is fixedly installed handle.

The utility model clever structure, it is practical, sufficient displaying not only has been carried out to mathematics solid geometry and has been imparted knowledge to students, but also is skilful The wonderful principle using balance makes the volume relationship of cone, cylindrical body, cuboid adequately show, especially Be circular cone volume be its with the one third of the contour cylindrical body in bottom, this formula is visualized, the explanation shape of blood drawing is avoided Hold, study personnel can be good at understanding；

When wanting to show solid geometry used as show stand, it is only necessary to screw rod is rotated, weight bean is compressed by latch segment, It avoids weight bean from generating rotation, can show solid geometry as show stand.

Detailed description of the invention

Fig. 1 is the utility model perspective view schematic diagram.

Fig. 2 is the utility model use state front view schematic diagram.

Fig. 3 is the utility model use state rearview perspective view schematic diagram.

Fig. 4 is the utility model use state top view illustration.

Fig. 5 is the utility model internal structure perspective view schematic diagram.

Fig. 6 is that the utility model shows table top perspective view schematic diagram.

Fig. 7 is that the utility model shows table top cross-sectional view schematic diagram.

Fig. 8 is the utility model show stand matrix perspective view schematic diagram.

Fig. 9 is perspective view schematic diagram at A in the utility model Fig. 4.

Appended drawing reference: 1, show stand matrix；2, table top is shown；3, material storage room；4, balance important actor；5, balance unit；6, sliding Block；7, sliding slot；8, guide pin；9, groove cam；10, slideway；11, turbine；12, worm screw；13, turning handle；14, opening-closing plate；15, Two sliding blocks；16, second sliding slot；17, rack gear；18, second gear；19, rotation slot；20, weight bean；21, pallet；22, screw rod； 23, latch segment；24, upper cover plate；25, cover board slideway；26, push-pull handle；27, push-pull handle slideway；28, handle.

Specific embodiment

Aforementioned and other technology contents, feature and effect in relation to the utility model, in following cooperation with reference to figures 1 through figure In the detailed description of 9 pairs of embodiments, can clearly it present.The structure content being previously mentioned in following embodiment is with explanation Book attached drawing is reference.

Each exemplary embodiment of the utility model is described below with reference to accompanying drawings.

Embodiment one, the utility model are that a kind of mathematics solid geometry shows device, please refer to Fig. 1 and Fig. 2, including show Stylobate body 1 and the displaying table top 2 for being placed in 1 upper end of show stand matrix and being fixedly connected, show that 1 upper end of table top is the displaying of solid geometry Range please refers to Fig. 3, Fig. 6 and Fig. 8, and the 1 inner hollow upper end opening of show stand matrix and upper end opening, which run through, shows table top 2, material storage room 3 is offered inside the show stand matrix 1, referring to Fig. 3, material storage room 3 is used as parking space, object can be carried out Protection can open up groove and carry out clamping, institute to internal object as shown in figure 8, can separate material storage room 3 by partition State cone, cylindrical body, the cuboid for being placed with that floor space and height are equal inside material storage room 3, the cone, cylindrical body With cuboid using the identical identical material of density, the principle used herein is that the weight of object is equal to volume and multiplies density (m=ρ V), when the density of object is identical, only when volume is identical, weight could be identical, it is noted herein that of circular cone Number is that multiple and its number is at least three；

Fig. 3 and Fig. 5 are please referred to, is slidably matched along the vertical direction inside the show stand matrix 1 and is provided with balance important actor 4, 4 upper end of balance important actor is provided with balance unit 5, and balance unit 5 herein is to keep both ends to balance using conventional Balance；

The present embodiment first rises balance important actor 4, at this time day paperback when specifically used inside show stand matrix 1 It sets 5 and is placed in the upper end for showing table top 2, then cuboid, the cylindrical body that floor space and height are equal can be individually positioned in day The both ends of leveling device 5, balance keeps balance at this time, and faculty can explain the cuboid and cylinder that floor space and height are equal This equal classical mathematics formula of body volume；

When the both ends that floor space and three cones being equal of height and cylindrical body are individually positioned in balance unit 5, Balance keeps balance at this time, and faculty can explain the cone that floor space and height are equal and cylinder volume ratio is 1 to 3 This classical mathematical formulae；

The present apparatus when in use, has not only carried out sufficient displaying to mathematics solid geometry and has imparted knowledge to students, but also cleverly utilized balance Principle make the volume relationship of cone, cylindrical body, cuboid adequately show, especially circular cone volume is It visualizes this formula with the one third of the contour cylindrical body in bottom, and the explanation for avoiding blood drawing is described, learns personnel's energy Enough it is well understood by.

Embodiment two, on the basis of example 1, referring to Fig. 5, the fixation of 4 lower part rear and front end of the balance important actor is set The " T " shaped sliding block 6 set, referring to Fig. 7, offering the corresponding " T " shaped sliding slot 7 of shape, institute inside the show stand matrix 1 It states sliding block 6 and sliding slot 7 is slidably matched setting；

The side of the balance important actor 4 is fixed with guide pin 8, in 1 internal cavities of show stand matrix along the vertical direction It is provided with the groove cam 9 for the setting that is rotatably assorted with the show stand matrix 1, the surface of the groove cam 9 offers slideway 10, the guide pin 8 and the second slideway 10 are slidably matched setting, when so that the groove cam 9 rotating, drive balance important actor 4 It moves back and forth along the vertical direction；

The groove cam 9 has been fixedly and coaxially connected turbine 11, and the turbine 11 is engaged with worm screw 12, and the worm screw 12 is solid Surely there is the turning handle 13 for extending to the outside of show stand matrix 1, when rotate turning handle 13, drive the rotation of scroll bar 12, at this time worm screw 12 Rotation drives turbine 11 to rotate, and then groove cam 9 is driven to rotate, and slideway 10 drives guide pin 8 to move along the vertical direction at this time, Then balance important actor 4 rises along the vertical direction, and balance important actor 4 drives the balance unit 5 of upper end to rise；

The present embodiment when rotating turning handle 13 first, drives scroll bar 12 to rotate, the rotation of worm screw 12 at this time when specifically used It drives turbine 11 to rotate, then groove cam 9 is driven to rotate, slideway 10 drives guide pin 8 to move along the vertical direction at this time, then Balance important actor 4 rises along the vertical direction, and balance important actor 4 drives the balance unit 5 of upper end to rise, after usage, reversed to turn Turn handle 13, balance important actor 4 and balance unit 5 are fallen through into inside show stand matrix 1 simultaneously at this time.

Embodiment three for the solid geometry part inside protection material storage room 3, please refers to figure on the basis of example 2 1, Fig. 3 and Fig. 5, the material storage room 3 are provided with along the opening-closing plate 14 for showing that 2 left and right directions of table top is slidably matched, referring to Fig. 5, " T " shaped second sliding block 15 that 14 upper end of opening-closing plate is fixedly installed in left-right direction, referring to Fig. 7, the displaying table top 2 Lower end offers the corresponding " T " shaped second sliding slot 16 of shape, and second sliding block 15 and second sliding slot 16 are slidably matched setting；

To save process, improve efficiency, 14 lower end of opening-closing plate is fixedly installed rack gear 17, the snail in left-right direction Bar 12 is fixedly and coaxially connected the second gear 18 engaged with rack gear 17, and when rotating turning handle 13, second gear 18 rotates simultaneously, Opening-closing plate 14 is driven to open towards right side at this time, the solid geometry part inside material storage room 3 can be taken out and be said by interpretation staff Solution teaching.

Example IV on the basis of example 2, can be by day other than carrying out teaching using balance principle and showing explanation Leveling device 5 shows solid geometry as show stand, please refers to Fig. 5 and Fig. 9, and the balance unit 5 is solid including 4 upper end of balance important actor Surely the " u "-shaped rotation slot 19 connected, 19 inner rotation of rotation slot are equipped with weight bean 20,20 two sides of weight bean It is respectively and fixedly provided with pallet 21, the rotation slot 19 is threadedly engaged along the longitudinal direction is provided with screw rod 22, and the screw rod 22 is placed in rotation One end inside slot 19 is fixed with latch segment 23, the latch segment 23 compressible weight bean 20 when screw rod 22 rotates；

The present embodiment is when specifically used, when wanting that balance unit 5 is used to show solid geometry as show stand, it is only necessary to Screw rod 22 is rotated, when screw rod 22 rotates, screw rod 22 can be fed towards 20 direction of weight bean, at this time the compressible balance of latch segment 23 Bar 20 avoids weight bean 20 from generating rotation, and the pallet 21 of balance unit 5 can be used as show stand and show solid geometry at this time.

Embodiment five for the device inside protection show stand matrix 1, is kept away when not in use on the basis of example 1 Exempt from dust and other impurities entrance, please refers to Fig. 1, Fig. 3 and Fig. 6, be slidably matched at 2 upper end opening of displaying table top and be provided with upper cover Plate 24, it is described to show that the cover board slideway 25 that upper cover plate 24 is offered inside table top 2, the upper cover plate 24 slide into cover board completely Inside slideway 25, when the device starts to be used, upper cover plate 24 is slid into inside cover board slideway 25 first.

Embodiment six, it is more convenient to use upper cover plate 24 on the basis of embodiment five, please refer to Fig. 1 and figure 6,24 upper end of upper cover plate is fixed with push-pull handle 26, and the displaying table top 2 offers the push-pull handle being connected to cover board slideway 25 Slideway 27.

Embodiment seven, on the basis of example 1, to make the carrying of device more convenient, referring to Fig. 1, the exhibition Show that 2 upper end of table top is fixedly installed handle 28.

The utility model first slides into upper cover plate 24 inside cover board slideway 25 when specifically used, and then rotation turns Handle 13 then drives scroll bar 12 to rotate, and the rotation of worm screw 12 drives turbine 11 to rotate at this time, then groove cam 9 is driven to rotate, Slideway 10 drives guide pin 8 to move along the vertical direction at this time, and then balance important actor 4 rises along the vertical direction, and balance important actor 4 drives The balance unit 5 of upper end rises；

Synchronous to carry out, when rotating turning handle 13, second gear 18 rotates simultaneously, drives opening-closing plate 14 towards the right side at this time Side is opened, and the solid geometry part inside material storage room 3 can be taken out and carry out explanation teaching by interpretation staff；

Then the both ends that cuboid, the cylindrical body that floor space and height are equal are individually positioned in balance unit 5 can be held in the palm In disk 21, balance keeps balance at this time, and faculty can explain the cuboid and cylinder volume that floor space and height are equal This equal classical mathematics formula；

When the both ends that floor space and three cones being equal of height and cylindrical body are individually positioned in balance unit 5, Balance keeps balance at this time, and faculty can explain the cone that floor space and height are equal and cylinder volume ratio is 1 to 3 This classical mathematical formulae；

The present apparatus when in use, has not only carried out sufficient displaying to mathematics solid geometry and has imparted knowledge to students, but also cleverly utilized balance Principle the volume relationship memory of cone, cylindrical body, cuboid is adequately shown, especially circular cone volume is It visualizes this formula with the one third of the contour cylindrical body in bottom, and the explanation for avoiding blood drawing is described, learns personnel's energy Enough it is well understood by；

When wanting that balance unit 5 is used to show solid geometry as show stand, it is only necessary to screw rod 22 is rotated, when 22 turns of screw rod When dynamic, screw rod 22 can be fed towards 20 direction of weight bean, at this time the compressible weight bean 20 of latch segment 23, and weight bean 20 is avoided to generate Rotation, the pallet 21 of balance unit 5 can be used as show stand and show solid geometry at this time；

After usage, turning handle 13 is rotated backward, balance important actor 4 and balance unit 5 fall through into displaying simultaneously at this time Inside stylobate body 1, upper cover plate 24 is slided out inside cover board slideway 25, lid shares the opening for showing 2 upper end of table top.

The utility model clever structure, it is practical, sufficient displaying not only has been carried out to mathematics solid geometry and has been imparted knowledge to students, but also is skilful The wonderful principle using balance makes the volume relationship of cone, cylindrical body, cuboid adequately show, especially Be circular cone volume be its with the one third of the contour cylindrical body in bottom, this formula is visualized, the explanation shape of blood drawing is avoided Hold, study personnel can be good at understanding；

When wanting to show solid geometry used as show stand, it is only necessary to screw rod is rotated, weight bean is compressed by latch segment, It avoids weight bean from generating rotation, can show solid geometry as show stand.

Claims (7)

1. a kind of mathematics solid geometry shows device, which is characterized in that including show stand matrix (1) and be placed in show stand matrix (1) the displaying table top (2) that upper end is fixedly connected, show stand matrix (1) the inner hollow upper end opening and upper end opening runs through It shows table top (2), is offered material storage room (3) inside the show stand matrix (1), be placed with bottom surface inside the material storage room (3) Cone, cylindrical body, the cuboid that product and height are equal, the cone, cylindrical body and cuboid are identical using density Identical material；

It is slidably matched and is provided with balance important actor (4) along the vertical direction inside the show stand matrix (1), the balance important actor (4) Upper end is provided with balance unit (5).

2. a kind of mathematics solid geometry according to claim 1 shows device, which is characterized in that the balance important actor (4) The " T " shaped sliding block (6) of lower part rear and front end fixed setting, it is corresponding " T " that show stand matrix (1) inside offers shape The sliding slot (7) of shape, the sliding block (6) and sliding slot (7) are slidably matched setting；

The side of the balance important actor (4) is fixed with guide pin (8), along vertical side in show stand matrix (1) internal cavities To the groove cam (9) for being provided with the setting that is rotatably assorted with the show stand matrix (1), the surface of the groove cam (9) is opened Equipped with slideway (10), the guide pin (8) and the second slideway (10) are slidably matched setting, so that the groove cam (9) rotation When, drive balance important actor (4) to move back and forth along the vertical direction；

The groove cam (9) has been fixedly and coaxially connected turbine (11), and the turbine (11) is engaged with worm screw (12), the worm screw (12) it is fixed with the turning handle (13) extended on the outside of show stand matrix (1).

3. a kind of mathematics solid geometry according to claim 2 shows device, which is characterized in that the material storage room (3) sets It is equipped with along the opening-closing plate (14) for showing that table top (2) left and right directions is slidably matched, opening-closing plate (14) upper end is solid in left-right direction Surely " T " shaped second sliding block (15) being arranged, displaying table top (2) lower end offer shape corresponding " T " shaped second and slide Slot (16), second sliding block (15) and second sliding slot (16) are slidably matched setting；

Opening-closing plate (14) lower end is fixedly installed rack gear (17) in left-right direction, and the worm screw (12) has been fixedly and coaxially connected The second gear (18) engaged with rack gear (17).

4. a kind of mathematics solid geometry according to claim 2 shows device, which is characterized in that the balance unit (5) Including the " u "-shaped rotation slot (19) that balance important actor (4) upper end is fixedly connected, rotation slot (19) inner rotation is equipped with Weight bean (20), weight bean (20) two sides are respectively and fixedly provided with pallet (21), and the rotation slot (19) along the longitudinal direction match by screw thread Conjunction is provided with screw rod (22), and the screw rod (22) is placed in the internal one end of rotation slot (19) and is fixed with latch segment (23), the lock Tight block (23) compressible weight bean (20) when screw rod (22) rotate.

5. a kind of mathematics solid geometry according to claim 1 shows device, which is characterized in that the displaying table top (2) It is slidably matched and is provided with upper cover plate (24) at upper end opening, it is described to show the cover board that upper cover plate (24) are offered inside table top (2) Slideway (25), it is internal that the upper cover plate (24) can slide into cover board slideway (25) completely.

6. a kind of mathematics solid geometry according to claim 5 shows device, which is characterized in that on the upper cover plate (24) End is fixed with push-pull handle (26), and displaying table top (2) offers the push-pull handle slideway (27) being connected to cover board slideway (25).

7. a kind of mathematics solid geometry according to claim 1 shows device, which is characterized in that the displaying table top (2) Upper end is fixedly installed handle (28).