Combined three-dimensional geometry mathematical teaching instrument
Patent Information
- Application Number
- CN202611466393.4
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2026-09-20
- Publication Date
- 2026-10-30
AI Technical Summary
木质模型为固定结构,仅能展示单一几何体形态,无法根据不同教学需求进行调整;磁性拼接条虽可自由组合,但连接点多为球铰结构,难以精确控制棱边之间的夹角,组合而成的几何体容易变形,稳定性较差;传统积木类教具仅能堆叠构建简单图形,对于棱锥、棱台等复杂几何体的展示效果有限
1、本发明通过实轴与轴套的相对转动,实现面板之间夹角的连续可调;转角识别机构可精确读取角度数值,便于教学演示中定量展示二面角等概念;面板与连接轴采用可拆卸连接,可根据教学需求灵活组合不同几何体;结构简单,操作方便,适用于课堂教学演示和学生自主探究。
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Figure CN123016756A_ABST
Abstract
Description
Technical Field
[0001] This invention relates to the field of teaching aids technology, specifically a combined solid geometry mathematics teaching instrument. Background Technology
[0002] In teaching solid geometry in middle school mathematics, teachers often need to use teaching aids to help students develop spatial imagination. Currently, commonly used solid geometry teaching aids mainly include geometric models made of wood or plastic, magnetic interlocking strips, and traditional building blocks. Wooden models have a fixed structure and can only display a single geometric shape, making them unadjustable to different teaching needs. Magnetic interlocking strips, while allowing for free combination, often use ball joints, making it difficult to precisely control the angles between edges, resulting in easily deformed and unstable geometric shapes. Traditional building blocks can only be stacked to construct simple shapes, offering limited effectiveness in demonstrating complex geometric shapes such as pyramids and frustums. Furthermore, existing teaching aids lack precise angle markings and locking mechanisms when demonstrating abstract concepts such as dihedral angles and skew lines, making it difficult for students to intuitively understand spatial angular relationships.
[0003] Therefore, there is an urgent need for a new type of teaching aid for solid geometry to effectively address the shortcomings of existing technologies. Summary of the Invention
[0004] The purpose of this invention is to provide a combined solid geometry mathematics teaching instrument to solve the problems mentioned in the background art.
[0005] To achieve the above objectives, the present invention provides the following technical solution:
[0006] A combined solid geometry teaching instrument includes at least one angle-adjustable connecting shaft and at least one panel:
[0007] The angle-adjustable connecting shaft includes a solid shaft and a bushing. The solid shaft and the bushing are rotatably connected and remain coaxial. The solid shaft and the bushing are of equal length and have the same outer diameter. At least one sidewall of the panel can be detachably and fixedly connected to both the solid shaft and the bushing. An angle recognition mechanism and an angle locking mechanism are provided between the solid shaft and the bushing. The angle recognition mechanism is used to mark the angle between the solid shaft and the bushing, and the angle locking mechanism is used to lock the solid shaft and the bushing.
[0008] Furthermore, the corner locking mechanism includes a central gear disk and at least three locking seats. The end of the solid shaft is provided with an outwardly protruding spindle. The spindle passes through the inside of the bushing. The central gear disk is fixedly installed at the end of the spindle. All locking seats are distributed in a ring array on the inner circumference of the bushing. The locking seat includes a base fixedly installed on the inner wall of the bushing circumference, a slide block slidably installed on the base, a spring provided between the slide block and the inner wall of the bushing circumference, and a locking tooth provided on the side of the slide block facing the central gear disk, the locking tooth engaging with the gear teeth on the side wall of the central gear disk circumference; The slide block has an outwardly extending extension platform at the end facing away from the solid shaft. The bushing has a cover fixedly installed at the end away from the solid shaft. A rotating shaft is rotatably installed on the cover. A turntable is fixedly connected to the side of the rotating shaft inside the bushing. A set of top platform protrusions is provided on the circumferential side wall of the turntable. Each top platform protrusion corresponds to a locking seat. The top platform protrusions have a wedge-shaped structure for lifting the extension platform. A knob is fixedly connected to the side of the rotating shaft outside the bushing. A torsion spring is fitted on the rotating shaft, an inner torsion spring holder is provided on the turntable, and an outer torsion spring holder is provided on the cover. The two fixed legs of the torsion spring are respectively engaged with the inner torsion spring holder and the outer torsion spring holder.
[0009] Furthermore, the corner recognition mechanism includes a dial and a pointer, which are respectively disposed on the outer circumferential surface of the solid shaft and the bushing.
[0010] Furthermore, the outer circumferential wall of the solid shaft and the bushing is provided with an outwardly protruding mating protrusion, and all side walls of the panel are provided with a pair of mating grooves, the mating protrusion and the mating grooves engaging in a snap-fit fit.
[0011] Furthermore, a magnetic attraction structure is provided between the docking protrusion and the docking groove.
[0012] Furthermore, an anti-loosening locking structure is provided between the docking protrusion and the docking groove.
[0013] Furthermore, all corners of the panel are provided with clearance grooves to avoid the knobs.
[0014] Furthermore, the two sides of the panel are clearly distinguishable.
[0015] Furthermore, the panel is made of acrylic material, and the panel has a matte surface and a glossy surface.
[0016] Compared with the prior art, the beneficial effects of the present invention are: 1. This invention achieves continuous and adjustable angle between panels through the relative rotation of the solid shaft and the bushing; the angle recognition mechanism can accurately read the angle value, which is convenient for quantitatively demonstrating concepts such as dihedral angles in teaching demonstrations; the panel and the connecting shaft are detachably connected, and different geometric shapes can be flexibly combined according to teaching needs; the structure is simple and easy to operate, and it is suitable for classroom teaching demonstrations and students' independent exploration.
[0017] 2. This invention adopts a locking structure that combines a gear disc with multiple sets of locking seats. The locking teeth and gear teeth mesh simultaneously at multiple positions, ensuring reliable locking and strong load-bearing capacity. Unlocking is controlled by a knob, making operation convenient and allowing angle adjustment and locking to be completed with one hand. The automatic reset design of the torsion spring ensures that the locking mechanism takes effect immediately after the knob is released, avoiding locking failure due to operational negligence. The ring array of locking seats ensures uniform force distribution and extends the service life of the device.
[0018] 3. This invention achieves quick assembly and disassembly through the snap-fit of the mating protrusions and mating grooves, allowing for the construction of geometric shapes without tools; the magnetic structure makes the connection more stable while maintaining ease of assembly and disassembly; the anti-detachment locking structure is suitable for scenarios requiring long-term display, preventing the panel from accidentally falling off; the anti-gaps design fully considers operational convenience, preventing the knobs from being obstructed; the two-sided panel design caters to both the needs of writing and annotation and perspective observation, enriching the teaching and demonstration methods. Attached Figure Description
[0019] Figure 1 This is a schematic diagram of the structure of a combined solid geometry mathematics teaching instrument; Figure 2 This is a structural breakdown diagram of a combined solid geometry mathematics teaching instrument; Figure 3 This is a cross-sectional view of the panel; Figure 4 This is a schematic diagram of the structure of an angle-adjustable connecting shaft; Figure 5 This is a structural diagram of the solid shaft, mandrel, and central gear disk; Figure 6 A schematic diagram of the central gear disk and locking seat; Figure 7 This is a schematic diagram of the locking bracket structure; Figure 8 This is a structural diagram of the locking seat and the turntable; Figure 9 This is an exploded view of the structure of the turntable, cover, and knob.
[0020] In the diagram: 1. Angle-adjustable connecting shaft; 2. Panel; 3. Solid shaft; 4. Bushing; 5. Abutment protrusion; 6. Dial; 7. Dial pointer; 8. Knob; 9. Mandrel; 10. Central gear disc; 11. Locking seat; 12. Turntable; 13. Cover; 201. Abutment groove; 202. Clearance groove; 1101. Base; 1102. Spring; 1103. Slide; 1104. Locking tooth; 1105. Extension platform; 1201. Top platform protrusion; 1202. Rotating shaft; 1203. Torsion spring; 1204. Inner torsion spring seat; 1205. Outer torsion spring seat. Detailed Implementation
[0021] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.
[0022] Example 1 Please see Figures 1 to 9 This embodiment discloses a combined solid geometry teaching instrument, comprising at least one angle-adjustable connecting shaft 1 and at least one panel 2. The angle-adjustable connecting shaft 1 includes a solid shaft 3 and a bushing 4, which are rotatably connected and coaxial, and have the same length and outer diameter. At least one sidewall of the panel 2 can be detachably fixedly connected to both the solid shaft 3 and the bushing 4. An angle recognition mechanism and an angle locking mechanism are provided between the solid shaft 3 and the bushing 4. The angle recognition mechanism is used to mark the angle between the solid shaft 3 and the bushing 4, and the angle locking mechanism is used to lock the solid shaft 3 and the bushing 4.
[0023] In this embodiment, the adjustable connecting shaft 1 can be made of metal or engineering plastic during actual manufacturing. The solid shaft 3 and the bushing 4 achieve relative rotation through precise fit. The panel 2 is made of acrylic material and is triangular, quadrilateral, or polygonal in shape, used to construct the surface of the geometry. The corner recognition mechanism includes a dial 6 and a scale pointer 7, which are respectively set on the outer circumferential surfaces of the solid shaft 3 and the bushing 4.
[0024] The working principle of this embodiment is as follows: In use, the side wall of panel 2 is fixedly connected to the solid shaft 3 or bushing 4. When it is necessary to adjust the included angle between panels 2, the angle locking mechanism is first unlocked, and the bushing 4 is rotated relative to the solid shaft 3. The required angle value is read through the dial 6 and the scale pointer 7. After adjustment, the relative position of the solid shaft 3 and the bushing 4 is automatically locked by the angle locking mechanism. Multiple angle-adjustable connecting shafts 1 and multiple panels 2 can be combined and connected to construct various solid geometric models such as prisms, pyramids, and frustums.
[0025] This embodiment achieves continuous adjustment of the included angle between the panels through the relative rotation of the solid shaft and the bushing; the angle recognition mechanism can accurately read the angle value, which is convenient for quantitatively demonstrating concepts such as dihedral angles in teaching demonstrations; the panels and the connecting shaft are detachably connected, and different geometric shapes can be flexibly combined according to teaching needs; the structure is simple and easy to operate, and it is suitable for classroom teaching demonstrations and students' independent exploration.
[0026] Example 2 Based on Embodiment 1, this embodiment provides a specific design for the corner locking mechanism. The corner locking mechanism includes a central gear disk 10 and at least three locking seats 11. A protruding spindle 9 is provided at the end of the solid shaft 3, and the spindle 9 passes through the inside of the bushing 4. The central gear disk 10 is fixedly installed at the end of the spindle 9. All locking seats 11 are arranged in a ring array on the inner circumference of the bushing 4.
[0027] The locking bracket 11 includes a base 1101 fixedly mounted on the inner circumference of the bushing 4, and a slide 1103 slidably mounted on the base 1101. A spring 1102 is provided between the slide 1103 and the inner circumference of the bushing 4. The slide 1103 has a locking tooth 1104 on the side facing the central gear disk 10, which engages with the gear teeth on the circumferential side wall of the central gear disk 10. The end of the slide 1103 facing away from the solid shaft 3 has an outwardly extending extension platform 1105.
[0028] A cover 13 is fixedly installed on the end of the bushing 4 away from the solid shaft 3, and a rotating shaft 1202 is rotatably mounted on the cover 13. A turntable 12 is fixedly connected to one side of the rotating shaft 12 inside the bushing 4, and a set of top platform protrusions 1201 are provided on the circumferential side wall of the turntable 12. The top platform protrusions 1201 correspond one-to-one with the locking seat 11, and the top platform protrusions 1201 have a wedge-shaped structure to lift the extension platform 1105. A knob 8 is fixedly connected to the side of the rotating shaft 1202 outside the bushing 4.
[0029] A torsion spring 1203 is fitted on the rotating shaft 1202, an inner torsion spring holder 1204 is provided on the turntable 12, and an outer torsion spring holder 1205 is provided on the cover 13. The two fixed legs on both sides of the torsion spring 1203 are respectively engaged with the inner torsion spring holder 1204 and the outer torsion spring holder 1205.
[0030] The working principle of this embodiment is as follows: In the locked state, the spring 1102 pushes the slide 1103 towards the central gear disk 10, causing the locking teeth 1104 to mesh with the teeth of the central gear disk 10, preventing the solid shaft 3 and the bushing 4 from rotating relative to each other. When it is necessary to adjust the angle, the knob 8 is turned, which drives the turntable 12 to rotate through the rotating shaft 1202. The top protrusion 1201 on the turntable 12 rotates accordingly, and its wedge-shaped surface gradually pushes up the extension platform 1105, causing the slide 1103 to slide away from the central gear disk 10 against the elastic force of the spring 1102, and the locking teeth 1104 disengage from the teeth. At this time, the solid shaft 3 and the bushing 4 can rotate freely relative to each other. After adjusting to the desired angle, release knob 8. Under the restoring force of torsion spring 1203, turntable 12 rotates back to its original position. Top protrusion 1201 releases its push on extension platform 1105, spring 1102 pushes slide 1103 back to its original position, and locking teeth 1104 re-engage with gear teeth, achieving angle locking. Torsion spring 1203 is fixed by inner torsion spring holder 1204 and outer torsion spring holder 1205, ensuring that turntable 12 can automatically reset.
[0031] This embodiment employs a locking structure that combines a gear disc with multiple sets of locking seats. The locking teeth and gear teeth mesh simultaneously at multiple positions, ensuring reliable locking and strong load-bearing capacity. Unlocking is controlled by a knob, making operation convenient and allowing for angle adjustment and locking with just one hand. The torsion spring automatic reset design ensures that the locking mechanism takes effect immediately after the knob is released, preventing locking failure due to operational negligence. The ring-shaped array of locking seats ensures uniform force distribution, extending the service life of the device.
[0032] Example 3 Based on Embodiment 1, this embodiment optimizes the connection method between the panel 2 and the angle-adjustable connecting shaft 1. A protruding mating protrusion 5 is provided on the outer circumferential wall of the solid shaft 3 and the bushing 4, and a pair of mating grooves 201 are provided on all side walls of the panel 2. The mating protrusion 5 and the mating grooves 201 are engaged and matched.
[0033] As a further optimization, a magnetic attraction structure is provided between the mating protrusion 5 and the mating groove 201. Specifically, a magnet is embedded inside the mating protrusion 5, and an iron sheet or a magnet with opposite magnetic poles is embedded at the bottom of the mating groove 201. When the mating protrusion 5 is engaged with the mating groove 201, the magnetic attraction makes the connection more stable.
[0034] As another optimization, an anti-detachment locking structure is provided between the docking protrusion 5 and the docking groove 201. For example, elastic hooks are provided on both sides of the docking protrusion 5, and corresponding slots are provided on the inner wall of the docking groove 201. After being engaged, the elastic hooks and slots are locked together to prevent accidental detachment.
[0035] All corners of panel 2 are provided with clearance slots 202 to avoid interference with knob 8. When multiple panels 2 are connected by an angle-adjustable connecting shaft 1, the clearance slots 202 provide space for knob 8 to be accommodated, thus preventing interference between panels 2.
[0036] Panel 2 has two distinct sides. Specifically, panel 2 is made of acrylic material and has a textured surface and a glossy surface. The textured surface is easy to write and mark with chalk or whiteboard markers, while the glossy surface provides a clear perspective, making it easier to observe the internal structure.
[0037] The working principle of this embodiment is as follows: During assembly, the mating protrusion 5 on the angle-adjustable connecting shaft 1 is aligned with the mating groove 201 on the side wall of the panel 2 and pushed in, and the two are locked together by a snap-fit. A magnetic attraction structure or an anti-loosening locking structure further enhances the stability of the connection. The rough surface of the panel 2 faces outward for writing and marking, while the smooth surface is used for perspective observation. When multiple panels 2 are connected to form a closed geometry, the clearance groove 202 ensures that the knob 8 is not obstructed, facilitating angle adjustment at any time.
[0038] This embodiment achieves quick assembly and disassembly through the snap-fit of the mating protrusions and mating grooves, allowing for the construction of geometric shapes without tools; the magnetic structure makes the connection more stable while maintaining ease of assembly and disassembly; the anti-detachment locking structure is suitable for scenarios requiring long-term display, preventing the panel from accidentally falling off; the clearance groove design fully considers operational convenience, preventing the knobs from being obstructed; the two-sided panel design caters to both writing and annotation needs and perspective observation, enriching the teaching and demonstration methods.
[0039] Example 4 This embodiment, in conjunction with the technical features of the foregoing embodiments, provides a complete example of how to use a combined solid geometry mathematics teaching instrument.
[0040] Taking the construction of an adjustable-angle triangular pyramid as an example, select four triangular panels 2 and six angle-adjustable connecting shafts 1. Insert the mating protrusion 5 of each angle-adjustable connecting shaft 1 into the mating groove 201 on the side wall of panel 2, fixing the edge of panel 2 to the connecting shaft. Determine the dihedral angles between each edge according to the geometric relationships of the triangular pyramid. Unlock each connecting shaft by turning knob 8, rotate the shaft sleeve 4 to make the dial 6 and scale pointer 7 indicate the desired angle, and release knob 8 to lock the connecting shaft. Assemble all panels 2 and connecting shafts in sequence to form a complete triangular pyramid model. During the demonstration, the angle of a certain edge can be adjusted to observe the change in the shape of the triangular pyramid and compare the geometric characteristics at different angles. Teachers can label the vertices, edges, and faces on the rough-surfaced panels, or draw auxiliary lines to help students understand spatial relationships.
[0041] This embodiment demonstrates the complete usage process of the present invention through a practical construction example; the adjustable angle feature allows the same set of teaching aids to demonstrate multiple geometric shapes, making it multi-functional; the precise angle recognition and locking function makes the abstract concept of spatial angles concrete, reducing the difficulty of students' understanding; the modular design makes it easy to carry and store, suitable for classroom teaching.
Claims
1. A combined solid geometry teaching instrument, characterized in that, It includes at least one angle-adjustable connecting shaft (1) and at least one panel (2): The angle-adjustable connecting shaft (1) includes a solid shaft (3) and a bushing (4). The solid shaft (3) and the bushing (4) are rotatably connected and remain coaxial. The solid shaft (3) and the bushing (4) are of equal length and have the same outer diameter. At least one sidewall of the panel (2) can be detachably and fixedly connected to the solid shaft (3) and the bushing (4); An angle identification mechanism and an angle locking mechanism are provided between the solid shaft (3) and the bushing (4). The angle identification mechanism is used to mark the angle between the solid shaft (3) and the bushing (4), and the angle locking mechanism is used to lock the solid shaft (3) and the bushing (4).
2. The combined solid geometry teaching instrument according to claim 1, characterized in that: The corner locking mechanism includes a central gear disk (10) and at least three locking seats (11). The end of the solid shaft (3) is provided with an outwardly protruding spindle (9). The spindle (9) passes through the inside of the bushing (4). The central gear disk (10) is fixedly installed at the end of the spindle (9). All locking seats (11) are arranged in a ring array on the inner circumference of the bushing (4). The locking seat (11) includes a base (1101) fixedly installed on the inner circumference of the bushing (4), a slide (1103) slidably installed on the base (1101), a spring (1102) provided between the slide (1103) and the inner circumference of the bushing (4), and a locking tooth (1104) provided on the side of the slide (1103) facing the central gear disk (10), the locking tooth (1104) engaging with the gear teeth on the side wall of the central gear disk (10); The slide (1103) has an extension platform (1105) extending outward at one end facing away from the solid shaft (3). The bushing (4) has a cover (13) fixedly installed at one end away from the solid shaft (3). A rotating shaft (1202) is rotatably installed on the cover (13). A turntable (12) is fixedly connected to one side of the rotating shaft (1202) inside the bushing (4). A set of top platform protrusions (1201) is provided on the circumferential side wall of the turntable (12). The top platform protrusions (1201) correspond one-to-one with the locking seat (11). The top platform protrusions (1201) have a wedge-shaped structure for lifting the extension platform (1105). A knob (8) is fixedly connected to one side of the rotating shaft (1202) outside the bushing (4). A torsion spring (1203) is sleeved on the rotating shaft (1202), an inner torsion spring holder (1204) is provided on the turntable (12), and an outer torsion spring holder (1205) is provided on the cover (13). The two fixed legs of the torsion spring (1203) are respectively engaged on the inner torsion spring holder (1204) and the outer torsion spring holder (1205).
3. The combined solid geometry teaching instrument according to claim 1, characterized in that: The corner recognition mechanism includes a dial (6) and a pointer (7), which are respectively set on the outer circumferential surface of the solid shaft (3) and the bushing (4).
4. The combined solid geometry teaching instrument according to claim 1, characterized in that: The outer circumferential wall of the solid shaft (3) and the bushing (4) is provided with an outwardly protruding mating protrusion (5), and all the side walls of the panel (2) are provided with a pair of mating grooves (201), and the mating protrusion (5) and the mating grooves (201) are engaged.
5. A combined solid geometry teaching instrument according to claim 4, characterized in that: A magnetic attraction structure is provided between the docking protrusion (5) and the docking groove (201).
6. A combined solid geometry teaching instrument according to claim 4, characterized in that: An anti-loosening locking structure is provided between the docking protrusion (5) and the docking groove (201).
7. A combined solid geometry teaching instrument according to claim 1, characterized in that: All corners of the panel (2) are provided with clearance slots (202) for avoiding the knob (8).
8. A combined solid geometry teaching instrument according to claim 1, characterized in that: The two sides of the panel (2) are clearly distinguishable.
9. A combined solid geometry teaching instrument according to claim 8, characterized in that: The panel (2) is made of acrylic material and has a textured surface and a smooth surface.
