CN209486986U - Higher mathematics saddle camber math equation form rotary display platform - Google Patents

Higher mathematics saddle camber math equation form rotary display platform Download PDF

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Publication number
CN209486986U
CN209486986U CN201822115577.3U CN201822115577U CN209486986U CN 209486986 U CN209486986 U CN 209486986U CN 201822115577 U CN201822115577 U CN 201822115577U CN 209486986 U CN209486986 U CN 209486986U
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runner
saddle camber
bottom end
rotating shaft
motor
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CN201822115577.3U
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Chinese (zh)
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邵菲菲
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Liaoning Urban Construction Technical College
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Liaoning Urban Construction Technical College
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Abstract

The utility model discloses higher mathematics saddle camber math equation form rotary display platforms, including mounting table, the inside left of the mounting table is fixedly installed with first motor, and one end of first motor on the left of transmission shaft and first rotating shaft by being connected, the right lateral surface of the first rotating shaft is socketed with support frame, and the bottom end of support frame is fixedly welded on the bottom end inner wall of mounting table, the right lateral surface of the first rotating shaft is fixedly welded with runner, and runner is internally provided with preformed groove, position between the runner is provided with gear, the surface of first rotating shaft is fixedly welded on the inside of the gear, the top of the gear is connected with rack gear.The utility model is provided with the second motor, it is shown saddle camber skeletal support bar in three dimensions, make saddle camber skeletal support bar that can not only rotate horizontally while can rotate on Z axis by the second motor, keeps saddle camber equation appearance model easy to disassemble by fixed ring.

Description

Higher mathematics saddle camber math equation form rotary display platform
Technical field
The utility model relates to display platform technical field, specially higher mathematics saddle camber math equation form rotates exhibition Show platform.
Background technique
Higher mathematics main culture of the attention to training student to mathematical thinking, culture of this thinking in teaching process are Derivation with logical thinking to mathematical formulae, while focusing on student again and perception possessed by formula behind is abstracted to higher mathematics It recognizes, is also saddle camber, so-called hyperbolic to the geometric shape of hyperbolic-parabolic equation in higher mathematics, no matter being to say that edge is parallel to Xoz, which cuts in face or cuts along the face yoz, can all obtain paraboloid, how to be intuitively presented in this abstract mathematical concept and imparted knowledge to students Cheng Zhong, and geometric meaning possessed by math equation can intuitively be showed by the method that teaching aid is demonstrated, how to break through traditional religion Tool to student to bring more higher mathematics perceptual recognitions to have researching value.
For current display platform tightly based on the space 2D, three-dimensional display mode is less, while display platform only has level A kind of mode is rotated, entity saddle camber model display is not comprehensive enough, can not observe the hyperbolic-parabolic under different conditions, furthermore Saddle surface model is fixed on the top of display platform, it is difficult to disassemble, when this part, mathematics is not easy to replace next after having taught The mathematical model in stage reduces the practicability of display platform.
Utility model content
The purpose of this utility model is to provide higher mathematics saddle camber math equation form rotary display platforms, to solve Three-dimensional display mode mentioned above in the background art is few, saddle camber model display is not comprehensive enough and saddle surface model is not easy to tear open The problem of unloading replacement.
To achieve the above object, the utility model provides the following technical solutions: higher mathematics saddle camber math equation form Rotary display platform, including mounting table, the inside left of the mounting table are fixedly installed with first motor, and the one of first motor By being connected on the left of transmission shaft and first rotating shaft, the right lateral surface of the first rotating shaft is socketed with support frame, and supports at end The bottom end of frame is fixedly welded on the bottom end inner wall of mounting table, and the right lateral surface of the first rotating shaft is fixedly welded with runner, and Runner is internally provided with preformed groove, and the position between the runner is provided with gear, is fixedly welded on the inside of the gear The surface of first rotating shaft, the top of the gear is connected with rack gear, and the both side surface of rack gear is all socketed with bearing block, institute The upper surface for stating bearing block is fixedly welded on the bottom end of turntable, and the bottom end two sides of the turntable are all fixed with L shape sliding block, and L shape The bottom end of sliding block is fixedly installed with extension rod, and the surface of the extension rod is socketed with arc shaped slider, and the bottom end peace of arc shaped slider Equipped with nut, the surface bottom end that the turntable is connect with runner is fixed with pointer, and the inside of the turntable is fixedly installed with second Motor, and one end of the second motor is connected by transmission shaft with the bottom end of the second shaft, the right lateral surface of the mounting table is solid Surely there is control button, the top of second shaft is fixedly welded with fixed ring, and screw rod is socketed with inside the two sides of fixed ring, One end of the screw rod is fixedly welded with bull stick, and the other end of the screw rod is fixedly connected with clamping plate, the inside of the fixed ring It is socketed with connecting rod, and the top of connecting rod is fixedly connected with saddle camber skeletal support bar, the saddle camber skeletal support bar Top is equipped with the direction XY simulation parabola, and the direction XY simulates parabolical surface and is uniformly connected with the direction YZ simulation parabolic Line.
Preferably, the runner is provided with two groups, and the surface of runner has all been correspondingly connected with L shape sliding block, the L shape sliding block Sliding structure is formed with runner.
Preferably, support frame as described above is provided with two groups, and support frame is internally provided with cavity, and the first rotating shaft passes through The inside of support frame, first rotating shaft and support frame form rotational structure.
Preferably, the two sides of the fixed ring are internally provided with cavity, and cavity inner wall is provided with internal screw thread, the screw rod The external screw thread on surface is matched with the internal screw thread inside fixed ring.
Preferably, the bearing block is provided with two groups, and bearing block is hollow structure, and the inside of the bearing block is smooth The both ends in face, the rack gear are socketed in the inside of bearing block.
Preferably, the preformed groove is hollow structure, and the inner diameter of preformed groove is identical as the outer diameter of extension rod, And extension rod runs through the inside of preformed groove, the extension rod and preformed groove form sliding structure.
Compared with prior art, the utility model has the beneficial effects that the higher mathematics saddle camber math equation form is revolved Turn display platform and be provided with the second motor, rotate horizontally saddle camber skeletal support bar, be shown in three dimensions, by the Two motors and first motor make saddle camber skeletal support bar not only rotate horizontally a kind of mode, while saddle camber skeletal support Bar rotates on Z axis, shows saddle camber skeletal support bar more comprehensive, makes saddle camber equation appearance model just by fixed ring In disassembly.
(1) device rotates horizontally saddle camber skeletal support bar, carries out in three dimensions by being provided with the second motor It shows, it can be seen that the face the Z structure hidden under X and Y easily facilitates the study and research of student.
(2) device makes saddle camber skeletal support bar not only rotate horizontally one kind by the second motor and first motor Mode, saddle camber skeletal support bar are rotated by first rotating shaft while rotating, drive saddle camber skeletal support bar on Z axis Rotation makes saddle camber skeletal support bar show hyperbolic-parabolic that is more comprehensive, and being able to observe that under different conditions.
(3) device keeps saddle camber equation appearance model easy to disassemble by fixed ring, and when this part, mathematical education terminates It is conveniently replaceable the mathematical model in next stage after complete, improves the practicability of display platform.
Detailed description of the invention
Fig. 1 is that the structure of the utility model faces diagrammatic cross-section;
Fig. 2 faces diagrammatic cross-section for the structure of first rotating shaft and turntable;
Fig. 3 is the structure top cross-sectional view of rack gear;
Fig. 4 is the structure side view diagrammatic cross-section of first rotating shaft and turntable;
Fig. 5 is the structure top cross-sectional view of fixed ring and bull stick.
In figure: 1, mounting table;2, first motor;3, first rotating shaft;4, gear;5, runner;6, support frame;7, turntable;8, Second motor;9, the second shaft;10, control button;11, fixed ring;12, connecting rod;13, saddle camber skeletal support bar;14,XY Simulate parabola in direction;15, parabola is simulated in the direction YZ;16, bearing block;17, rack gear;18, L shape sliding block;19, preformed groove;20, Pointer;21, arc shaped slider;22, nut;23, extension rod;24, bull stick;25, screw rod;26, clamping plate.
Specific embodiment
The following will be combined with the drawings in the embodiments of the present invention, carries out the technical scheme in the embodiment of the utility model Clearly and completely describe, it is clear that the described embodiments are only a part of the embodiments of the utility model, rather than whole Embodiment.Based on the embodiments of the present invention, those of ordinary skill in the art are without making creative work Every other embodiment obtained, fall within the protection scope of the utility model.
Fig. 1-5 is please referred to, a kind of embodiment provided by the utility model: the rotation of higher mathematics saddle camber math equation form Display platform, including mounting table 1, the inside left of mounting table 1 is fixedly installed with first motor 2, and one end of first motor 2 is logical It crosses transmission shaft to be connected with the left side of first rotating shaft 3, first motor 2 is fixedly welded on the left side bottom end of mounting table 1, first rotating shaft 3 right lateral surface is socketed with support frame 6, and the bottom end of support frame 6 is fixedly welded on the bottom end inner wall of mounting table 1, it is preferred that Support frame 6 is provided with two groups, and support frame 6 is internally provided with cavity, and first rotating shaft 3 passes through the inside of support frame 6, and first turn Axis 3 and support frame 6 form rotational structure, and the right lateral surface of first rotating shaft 3 is fixedly welded with runner 5, and the inside of runner 5 is set It is equipped with preformed groove 19, the surface of runner 5 is provided with graduation mark.
Preferably, runner 5 is provided with two groups, and the surface of runner 5 has all been correspondingly connected with L shape sliding block 18, L shape sliding block 18 with Runner 5 forms sliding structure, it is preferred that preformed groove 19 is hollow structure, and the inner diameter of preformed groove 19 and extension rod 23 Outer diameter it is identical, and extension rod 23 runs through the inside of preformed groove 19, and extension rod 23 and preformed groove 19 form sliding structure, Position between runner 5 is provided with gear 4, and the inside of gear 4 is fixedly welded on the surface of first rotating shaft 3, and the top of gear 4 is living It is dynamic to be connected with rack gear 17, and the both side surface of rack gear 17 is all socketed with bearing block 16, it is preferred that bearing block 16 is provided with two groups, And bearing block 16 is hollow structure, the inside of bearing block 16 is shiny surface, and the both ends of rack gear 17 are socketed in the inside of bearing block 16, Rack gear 17 can be fixedly welded on the bottom end of turntable 7 in the inner rotation of bearing block 16, the upper surface of bearing block 16, turntable 7 Bottom end two sides are all fixed with L shape sliding block 18, and the bottom end of L shape sliding block 18 is fixedly installed with extension rod 23.
The surface of extension rod 23 is socketed with arc shaped slider 21, and the bottom end of arc shaped slider 21 is equipped with nut 22, turntable 7 with The surface bottom end that runner 5 connects is fixed with pointer 20, and the inside of turntable 7 is fixedly installed with the second motor 8, and the second motor 8 One end is connected by transmission shaft with the bottom end of the second shaft 9, and the model of first motor 2 and the second motor 8 is YZSB, mounting table 1 right lateral surface is fixed with control button 10, and the top of the second shaft 9 is fixedly welded with fixed ring 11, and the two of fixed ring 11 Screw rod 25 is socketed with inside side, it is preferred that the two sides of fixed ring 11 are internally provided with cavity, and cavity inner wall is provided with interior spiral shell The external screw thread of line, 25 surface of screw rod is matched with the internal screw thread inside fixed ring 11, by screw rod 25 in the inside of fixed ring 11 Rotation drives screw rod 25 to move left and right, and one end of screw rod 25 is fixedly welded with bull stick 24, and the other end of screw rod 25 is fixedly connected with Clamping plate 26, the inside of clamping plate 26 are fixed with rubber pad, and rubber pad had both increased the frictional force of clamping plate 26 while having avoided connecting rod 12 Surface be worn, the inside of fixed ring 11 is socketed with connecting rod 12, and the top of connecting rod 12 is fixedly connected with saddle camber Skeletal support bar 13, the top of saddle camber skeletal support bar 13 is equipped with the direction XY simulation parabola 14, and the simulation of the direction XY is thrown The surface of object line 14 is uniformly connected with the direction YZ simulation parabola 15.
Working principle: in use, operation control button 10 is powered by external power supply to whole device, 2 He of first motor Second motor 8 works at the same time, and the rotation of the second motor 8 drives the second shaft 9 and connecting rod 12 to rotate by the transmission shaft of one end, from And 13 integral level of saddle camber skeletal support bar is driven to rotate, first motor 2 drives 3 turns of first rotating shaft by the transmission shaft of one end Dynamic, first rotating shaft 3 is in the inner rotation of support frame 6, and 3 rotation driven gear 4 of first rotating shaft and runner 5 rotate simultaneously, logical The engagement of gear 4 and rack gear 17 is crossed, the rotation band carry-over bar 17 of gear 4 rotates and with the movement of carry-over bar 17, passes through two groups of bearing blocks 16 fixation, rack gear 17 drive turntable 7 along the surface pivots of gear 4, and the extension rod 23 of 18 bottom end of L shape sliding block passes through preformed groove Arc shaped slider 21 and nut 22 are successively inserted in 19 inside, the bottom end of extension rod 23, enable extension rod 23 along preformed groove 19 Internal slide, and two groups of extension rods 23 deviate the position of turntable 7 will not, by the second motor 8 and first motor 2, make Saddle camber skeletal support bar 13 not only rotates horizontally a kind of mode, and saddle camber skeletal support bar 13 is while rotating by the The rotation of one shaft 3, drives saddle camber skeletal support bar 13 to rotate on Z axis along the surface of gear 4, while when the rotation of turntable 7 It drives pointer 20 to slide along the surface of runner 5, by the mobile distance of the accurate measuring circurmarotate 7 of pointer 20, makes saddle facial bone Frame support rod 13 shows hyperbolic-parabolic more comprehensive, and be able to observe that under different conditions, study analysis it is more complete Face.
When saddle camber skeletal support bar 13 needs dismounting and change, bull stick 24 is rotated counterclockwise, and bull stick 24 drives screw rod 25 to exist The inner rotation of fixed ring 11, bull stick 24 drive clamping plate 26 mobile to the outside of fixed ring 11, and connecting rod 12 can be taken out, and install When, another group of connecting rod 12 is embedded in inside the top of the second shaft 9, rotates clockwise bull stick 24, bull stick 24 drives clamping plate 26 To the medial movement of fixed ring 11, clamping plate 26 is fixedly clamped connecting rod 12, makes saddle camber equation form mould by fixed ring 11 Type is easy to disassemble, and the mathematical model in next stage is conveniently replaceable after mathematical education has terminated when this part, improves display platform Practicability.
It is obvious to a person skilled in the art that the present invention is not limited to the details of the above exemplary embodiments, and And without departing substantially from the spirit or essential attributes of the utility model, it can realize that this is practical new in other specific forms Type.Therefore, in all respects, the present embodiments are to be considered as illustrative and not restrictive, this is practical new The range of type is indicated by the appended claims rather than the foregoing description, it is intended that containing for the equivalent requirements of the claims will be fallen in All changes in justice and range are embraced therein.It should not treat any reference in the claims as limiting Related claim.

Claims (6)

1. higher mathematics saddle camber math equation form rotary display platform, including mounting table (1), it is characterised in that: described to put The inside left for setting platform (1) is fixedly installed with first motor (2), and one end of first motor (2) passes through transmission shaft and first turn Axis is connected on the left of (3), and the right lateral surface of the first rotating shaft (3) is socketed with support frame (6), and the bottom end of support frame (6) It being fixedly welded on the bottom end inner wall of mounting table (1), the right lateral surface of the first rotating shaft (3) is fixedly welded with runner (5), and Runner (5) is internally provided with preformed groove (19), and the position between the runner (5) is provided with gear (4), the gear (4) Inside be fixedly welded on the surfaces of first rotating shaft (3), the top of the gear (4) is connected with rack gear (17), and rack gear (17) both side surface is all socketed with bearing block (16), and the upper surface of the bearing block (16) is fixedly welded on the bottom of turntable (7) End, the bottom end two sides of the turntable (7) are all fixed with L shape sliding block (18), and the bottom end of L shape sliding block (18) is fixedly installed with extension The surface of bar (23), the extension rod (23) is socketed with arc shaped slider (21), and the bottom end of arc shaped slider (21) is equipped with nut (22), the surface bottom end that the turntable (7) connect with runner (5) is fixed with pointer (20), the fixed peace in the inside of the turntable (7) Equipped with the second motor (8), and one end of the second motor (8) is connected by transmission shaft with the bottom end of the second shaft (9), described to put The right lateral surface for setting platform (1) is fixed with control button (10), and the top of second shaft (9) is fixedly welded with fixed ring (11), it and inside the two sides of fixed ring (11) is socketed with screw rod (25), one end of the screw rod (25) is fixedly welded with bull stick (24), the other end of the screw rod (25) is fixedly connected with clamping plate (26), and the inside of the fixed ring (11) is socketed with connecting rod (12), and the top of connecting rod (12) is fixedly connected with saddle camber skeletal support bar (13), the saddle camber skeletal support bar (13) top is equipped with the direction XY simulation parabola (14), and the surface of the direction XY simulation parabola (14) is uniformly connected with YZ Simulate parabola (15) in direction.
2. higher mathematics saddle camber math equation form rotary display platform according to claim 1, it is characterised in that: institute State runner (5) and be provided with two groups, and the surface of runner (5) has all been correspondingly connected with L shape sliding block (18), the L shape sliding block (18) with Runner (5) forms sliding structure.
3. higher mathematics saddle camber math equation form rotary display platform according to claim 1, it is characterised in that: institute It states support frame (6) and is provided with two groups, and support frame (6) is internally provided with cavity, the first rotating shaft (3) passes through support frame (6) inside, first rotating shaft (3) and support frame (6) form rotational structure.
4. higher mathematics saddle camber math equation form rotary display platform according to claim 1, it is characterised in that: institute The two sides for stating fixed ring (11) are internally provided with cavity, and cavity inner wall is provided with internal screw thread, screw rod (25) surface it is outer The screw thread internal screw thread internal with fixed ring (11) matches.
5. higher mathematics saddle camber math equation form rotary display platform according to claim 1, it is characterised in that: institute It states bearing block (16) and is provided with two groups, and bearing block (16) is hollow structure, the inside of the bearing block (16) is shiny surface, institute The both ends for stating rack gear (17) are socketed in the inside of bearing block (16).
6. higher mathematics saddle camber math equation form rotary display platform according to claim 1, it is characterised in that: institute Stating preformed groove (19) is hollow structure, and the inner diameter of preformed groove (19) is identical as the outer diameter of extension rod (23), and prolongs Boom (23) runs through the inside of preformed groove (19), and the extension rod (23) and preformed groove (19) form sliding structure.
CN201822115577.3U 2018-12-17 2018-12-17 Higher mathematics saddle camber math equation form rotary display platform Active CN209486986U (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN112002188A (en) * 2020-09-07 2020-11-27 牡丹江师范学院 Mathematics teaching aid of mathematical thinking training and preparation facilities thereof

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN112002188A (en) * 2020-09-07 2020-11-27 牡丹江师范学院 Mathematics teaching aid of mathematical thinking training and preparation facilities thereof
CN112002188B (en) * 2020-09-07 2022-06-28 牡丹江师范学院 Mathematics teaching aid of mathematical thinking training and preparation facilities thereof

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