CN209373864U - A teaching demonstration device for drawing sine curves - Google Patents
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Abstract
本实用新型涉及一种描绘正弦曲线的教学演示装置,包括磁性白板,磁性白板上横置水平通槽,水平通槽内穿一垂直于磁性白板的转轴,转轴前端设置有圆盘,圆盘上沿径向间隔设置若干画笔插孔,转轴后端设置有齿轮,磁性白板后侧于齿轮上方设置有与其相啮合的横向齿条,横向齿条固定在横置的模块条下端面,模块条与磁性白板后侧面磁吸固定,将画笔插入圆盘上的任意插孔画笔插孔,牵引转轴在水平通槽内沿横向移动或转动圆盘或齿轮,横向齿条与齿轮啮合传动,通过转轴带动圆盘转动,即可直观利用圆周运动中任一质点的轨迹,在圆盘上通过画笔在磁性白板前侧面解释和画出正弦波曲线,本装置操作使用方便,有助于学生对正弦曲线相关知识进行学习理解。
The utility model relates to a teaching demonstration device for depicting sinusoidal curves, which comprises a magnetic whiteboard, on which a horizontal through groove is placed horizontally, and a rotating shaft perpendicular to the magnetic whiteboard is passed through the horizontal through groove, and a disk is arranged on the front end of the rotating shaft. A number of paintbrush sockets are arranged at intervals along the radial direction, a gear is arranged at the rear end of the rotating shaft, and a horizontal rack meshing with the gear is arranged on the rear side of the magnetic whiteboard above the gear, and the horizontal rack is fixed on the lower end surface of the horizontal module bar. The rear side of the magnetic whiteboard is fixed by magnetic suction. Insert the paintbrush into any jack on the disc. The traction shaft moves horizontally in the horizontal channel or rotates the disc or gear. When the disk rotates, the trajectory of any particle in the circular motion can be intuitively used, and the sine wave curve can be explained and drawn on the front side of the magnetic whiteboard with a brush on the disk. knowledge for learning and understanding.
Description
技术领域technical field
本实用新型涉及一种描绘正弦曲线的教学演示装置。The utility model relates to a teaching demonstration device for drawing sinusoidal curves.
背景技术Background technique
目前在数学教学中,正弦曲线的教学演示一直是一个难题,教师无法在黑板上进行演示,只能通过手工简单绘画,绘制出的正弦曲线并不规则,因此学生对于正弦曲线是如何绘制而成一直不易理解和掌握。At present, in mathematics teaching, the teaching demonstration of sine curves has always been a difficult problem. Teachers cannot demonstrate on the blackboard, but can only do simple drawing by hand. The drawn sine curves are not regular. Therefore, students are not sure how to draw sine curves. It has been difficult to understand and master.
因此,基于上述缺陷,在教学器械领域,对于新型教学中用来演示正弦曲线的装置仍存在研究和改进的需求,这也是目前教学器具领域中的研究热点和重点。Therefore, based on the above-mentioned defects, in the field of teaching instruments, there is still a demand for research and improvement on devices used to demonstrate sinusoidal curves in new teaching, which is also a research focus and focus in the field of teaching instruments.
发明内容Contents of the invention
本实用新型提出一种描绘正弦曲线的教学演示装置。The utility model provides a teaching demonstration device for drawing sinusoidal curves.
本实用新型解决技术问题所采用的方案是,一种描绘正弦曲线的教学演示装置,包括磁性白板,磁性白板中部横置有水平通槽,水平通槽内穿有一垂直于磁性白板的转轴,转轴能在水平通槽内沿横向移动,转轴前端设置有圆盘,圆盘上沿径向由内至外间隔设置若干画笔插孔,转轴后端设置有齿轮,磁性白板后侧于齿轮上方设置有与其相啮合的横向齿条,横向齿条固定在横置的模块条下端面,模块条与磁性白板后侧面磁吸固定。齿轮和圆盘之间的距离等于磁性白板的厚度,横向齿条与模块条通过螺钉锁固或横向齿条与模块条制成一体,横向齿条与水平通槽平行,横向齿条与水平通槽之间的距离为齿轮的半径。The solution adopted by the utility model to solve the technical problem is that a teaching demonstration device for depicting a sinusoidal curve includes a magnetic whiteboard, a horizontal through groove is placed horizontally in the middle of the magnetic whiteboard, and a rotating shaft perpendicular to the magnetic whiteboard is pierced in the horizontal through groove, and the rotating shaft It can move horizontally in the horizontal through groove. There is a disk at the front end of the rotating shaft. Several brush sockets are arranged on the disk at intervals from inside to outside in the radial direction. The rear end of the rotating shaft is provided with a gear. The horizontal rack meshed with it is fixed on the lower end surface of the horizontal module bar, and the module bar is magnetically fixed to the rear side of the magnetic whiteboard. The distance between the gear and the disc is equal to the thickness of the magnetic whiteboard. The horizontal rack and the module bar are locked by screws or the horizontal rack and the module bar are integrated. The horizontal rack is parallel to the horizontal slot, and the horizontal rack is connected to the horizontal slot. The distance between the slots is the radius of the gear.
进一步的,模块条前侧面左右两侧对称设置有两个凸块,磁性白板后侧面左右对称设置有两个容纳凸块的竖直滑槽,凸块上设置有锁紧螺孔,锁紧螺孔贯穿凸块、模块条并与磁性白板垂直,锁紧螺孔内设置有锁紧螺钉,模块条经锁紧螺钉锁紧在磁性白板上。Further, two protrusions are symmetrically arranged on the left and right sides of the front side of the module bar, and two vertical chutes for accommodating the protrusions are arranged symmetrically on the left and right sides of the rear side of the magnetic whiteboard. The hole runs through the protrusion, the module strip and is perpendicular to the magnetic whiteboard, and a locking screw is arranged in the locking screw hole, and the module strip is locked on the magnetic whiteboard through the locking screw.
进一步的,模块条为强磁力材料制成;或模块条与磁性白板的接触面嵌设有磁铁。Further, the module bar is made of strong magnetic material; or the contact surface between the module bar and the magnetic whiteboard is embedded with a magnet.
进一步的,转轴与水平通槽之间设置有滚动轴承,滚动轴承安装在转轴上。Further, a rolling bearing is arranged between the rotating shaft and the horizontal through groove, and the rolling bearing is installed on the rotating shaft.
进一步的,圆盘、齿轮经锁紧钉与转轴连接锁紧。Further, the disc and the gear are connected and locked with the rotating shaft through locking nails.
进一步的,齿轮设置多个,各个齿轮直径不同,转轴后端仅安装一个齿轮。Further, there are multiple gears with different diameters, and only one gear is installed at the rear end of the rotating shaft.
进一步的,磁性白板安装在白板支架上,白板支架包括底座,底座左右两侧对称设置有竖杆,竖杆上端内侧设置有固定块,竖杆上端横置有轴孔,固定块内侧面中部设置容纳白板边框部的槽口,固定块前后侧面设置螺孔A,螺孔A内穿设有锁紧螺杆A,锁紧螺杆A内端抵靠白板,锁紧螺杆A外端设置有手轮A,固定块外侧面中部设置轴部,轴部容置在轴孔并与轴孔转动配合,轴部内沿轴向设置有螺孔B,螺孔B内设置有锁紧螺杆B,锁紧螺杆B内端位于螺孔B内,锁紧螺杆B外端设置有手轮B。Further, the magnetic whiteboard is installed on the whiteboard support, and the whiteboard support includes a base, vertical bars are symmetrically arranged on the left and right sides of the base, a fixed block is arranged on the inner side of the upper end of the vertical bar, a shaft hole is placed horizontally on the upper end of the vertical bar, and the middle part of the inner side of the fixed block is arranged To accommodate the notch of the whiteboard frame, the front and rear sides of the fixed block are provided with screw holes A, and the screw hole A is pierced with a locking screw A, the inner end of the locking screw A is against the whiteboard, and the outer end of the locking screw A is provided with a handwheel A , the middle part of the outer surface of the fixed block is provided with a shaft part, the shaft part is accommodated in the shaft hole and rotatably matched with the shaft hole, a screw hole B is arranged in the shaft part along the axial direction, and a locking screw B is arranged in the screw hole B, and the locking screw B The inner end is located in the screw hole B, and the outer end of the locking screw B is provided with a handwheel B.
进一步的,底座下部设置有带有脚刹的万向轮。Further, the lower part of the base is provided with universal wheels with foot brakes.
进一步的,锁紧螺杆A内端设置有橡胶垫。Further, the inner end of the locking screw A is provided with a rubber pad.
与现有技术相比,本实用新型具有以下有益效果:结构简单,设计合理,操作使用方便, 有助于学生对正弦曲线相关知识进行学习理解。Compared with the prior art, the utility model has the following beneficial effects: simple structure, reasonable design, convenient operation and use, and helpful for students to learn and understand the knowledge related to sinusoidal curves.
附图说明Description of drawings
下面结合附图对本实用新型专利进一步说明。Below in conjunction with accompanying drawing, the utility model patent is further described.
图1是本实用新型的结构示意图一;Fig. 1 is a structural representation one of the utility model;
图2是本实用新型的结构示意图二;Fig. 2 is the structural representation two of the utility model;
图3是磁性白板与白板支架的连接的结构示意图。Fig. 3 is a structural schematic diagram of the connection between the magnetic whiteboard and the whiteboard support.
图中:In the picture:
1-万向轮;2-底座;3-竖杆;4-固定块;5-磁性白板;6-水平通槽;7-圆盘;8-画笔插孔;9-齿轮;10-转轴;11-横向齿条;12-锁紧螺钉;13-模块条;14-凸块;15-竖直滑槽;16-锁紧钉;17-槽口;18-锁紧螺杆A;19-手轮A;20-橡胶垫;21-轴部;22-锁紧螺杆B;23-手轮B。1-Universal wheel; 2-Base; 3-Vertical rod; 4-Fixed block; 5-Magnetic whiteboard; 6-Horizontal slot; 7-Disk; 11-horizontal rack; 12-locking screw; 13-module bar; 14-bump; 15-vertical chute; 16-locking nail; 17-notch; 18-locking screw A; 19-hand Wheel A; 20-rubber pad; 21-shaft; 22-lock screw B; 23-handwheel B.
具体实施方式Detailed ways
下面结合附图和具体实施方式对本实用新型进一步说明。Below in conjunction with accompanying drawing and specific embodiment the utility model is further described.
如图1-3所示,一种描绘正弦曲线的教学演示装置,包括磁性白板,磁性白板中部横置有水平通槽,水平通槽内穿有一垂直于磁性白板的转轴,转轴能在水平通槽内沿横向移动并能相对在水平通槽以其轴心线为旋转点转动,转轴前端设置有圆盘,圆盘上沿径向由内至外间隔设置若干画笔插孔,转轴后端设置有齿轮,磁性白板后侧于齿轮上方设置有与其相啮合的横向齿条,横向齿条固定在横置的模块条下端面,模块条与磁性白板后侧面磁吸固定。As shown in Figure 1-3, a teaching and demonstration device for depicting a sine curve includes a magnetic whiteboard. A horizontal through groove is placed horizontally in the middle of the magnetic whiteboard, and a rotating shaft perpendicular to the magnetic whiteboard is passed through the horizontal through groove. The groove moves horizontally and can rotate relative to the horizontal through groove with its axis as the rotation point. A disc is arranged at the front end of the rotating shaft, and a number of paintbrush jacks are arranged at intervals from inside to outside along the radial direction on the rotating shaft. There is a gear, and the rear side of the magnetic whiteboard is provided with a horizontal rack meshing with the gear above the gear. The horizontal rack is fixed on the lower end surface of the horizontal module bar, and the module bar is magnetically fixed to the rear side of the magnetic whiteboard.
在本实施例中,齿轮和圆盘之间的距离等于磁性白板的厚度,横向齿条与模块条通过螺钉锁固或横向齿条与模块条制成一体,横向齿条与水平通槽平行,模块条长度不小于水平通槽长度,横向齿条与水平通槽之间的距离为齿轮的半径。In this embodiment, the distance between the gear and the disc is equal to the thickness of the magnetic whiteboard, the transverse rack and the module bar are locked by screws or the transverse rack and the module bar are integrated, and the transverse rack is parallel to the horizontal slot. The length of the module bar is not less than the length of the horizontal slot, and the distance between the horizontal rack and the horizontal slot is the radius of the gear.
在本实施例中,圆盘的直径不大于磁性白板宽的1/4。In this embodiment, the diameter of the disc is not greater than 1/4 of the width of the magnetic whiteboard.
在本实施例中,横向齿条与齿轮的传动可以为滚销传动。In this embodiment, the transmission of the transverse rack and the pinion may be a rolling pin transmission.
在本实施例中,模块条前侧面左右两侧对称设置有两个凸块,磁性白板后侧面左右对称设置有两个容纳凸块的竖直滑槽,凸块上设置有锁紧螺孔,锁紧螺孔贯穿凸块、模块条并与磁性白板垂直,锁紧螺孔内设置有锁紧螺钉,模块条经锁紧螺钉锁紧在磁性白板上。In this embodiment, two protrusions are symmetrically arranged on the left and right sides of the front side of the module bar, and two vertical slide grooves for accommodating the protrusions are symmetrically arranged on the rear side of the magnetic whiteboard, and locking screw holes are arranged on the protrusions. The locking screw hole runs through the protrusion, the module bar and is perpendicular to the magnetic whiteboard, and a locking screw is arranged in the locking screw hole, and the module bar is locked on the magnetic whiteboard through the locking screw.
在本实施例中,模块条为强磁力材料制成;或模块条与磁性白板的接触面嵌设有磁铁。In this embodiment, the module bar is made of strong magnetic material; or the contact surface between the module bar and the magnetic whiteboard is embedded with a magnet.
在本实施例中,转轴与水平通槽之间设置有滚动轴承,滚动轴承安装在转轴上。In this embodiment, a rolling bearing is arranged between the rotating shaft and the horizontal through groove, and the rolling bearing is installed on the rotating shaft.
在本实施例中,圆盘、齿轮经锁紧钉与转轴连接锁紧。In this embodiment, the disk and the gear are connected and locked with the rotating shaft through locking nails.
在本实施例中,齿轮设置多个,各个齿轮直径不同,转轴后端仅安装一个齿轮,以便演示不同频率的波形。In this embodiment, there are multiple gears with different diameters, and only one gear is installed at the rear end of the rotating shaft in order to demonstrate waveforms of different frequencies.
在本实施例中,磁性白板安装在白板支架上,白板支架包括底座,底座左右两侧对称设置有竖杆,竖杆上端内侧设置有固定块,竖杆上端横置有轴孔,固定块内侧面中部设置容纳白板边框部的槽口,固定块前后侧面设置螺孔A,螺孔A内穿设有锁紧螺杆A,锁紧螺杆A内端抵靠白板,锁紧螺杆A外端设置有手轮A,固定块外侧面中部设置轴部,轴部容置在轴孔并与轴孔转动配合,轴部内沿轴向设置有螺孔B,螺孔B内设置有锁紧螺杆B,锁紧螺杆B内端位于螺孔B内,锁紧螺杆B外端设置有手轮B。In this embodiment, the magnetic whiteboard is installed on the whiteboard bracket, and the whiteboard bracket includes a base, vertical bars are arranged symmetrically on the left and right sides of the base, a fixed block is arranged on the inner side of the upper end of the vertical bar, and a shaft hole is placed horizontally on the upper end of the vertical bar. The middle part of the side is provided with a notch for accommodating the frame of the whiteboard, and the front and rear sides of the fixed block are provided with a screw hole A, and a locking screw A is pierced in the screw hole A, the inner end of the locking screw A is against the whiteboard, and the outer end of the locking screw A is provided with a Handwheel A, the shaft part is set in the middle of the outer surface of the fixed block, the shaft part is accommodated in the shaft hole and rotates with the shaft hole, the shaft part is provided with a screw hole B along the axial direction, and a locking screw B is arranged in the screw hole B, the lock The inner end of the tightening screw B is located in the screw hole B, and the outer end of the locking screw B is provided with a hand wheel B.
在本实施例中,底座下部设置有带 有脚刹的万向轮。In the present embodiment, the lower part of the base is provided with universal wheels with foot brakes.
在本实施例中,锁紧螺杆A内端设置有橡胶垫。In this embodiment, the inner end of the locking screw A is provided with a rubber pad.
使用时:when using it:
(1)将转轴移动至水平滑槽左端部;(1) Move the rotating shaft to the left end of the horizontal chute;
(2)将画笔插入圆盘上的任意画笔插孔;(2) Insert the paintbrush into any paintbrush socket on the disc;
(3)上下移动模块条使得横向齿条与齿轮啮合;(3) Move the module bar up and down to make the horizontal rack mesh with the gear;
(4)牵引转轴在水平通槽内沿横向移动或转动圆盘或齿轮,横向齿条与齿轮啮合传动,从而通过转轴带动圆盘转动,即可直观利用圆周运动中任一质点的轨迹,在圆盘上通过画笔在磁性白板前侧面解释和画出正弦波曲线。(4) The traction shaft moves horizontally or rotates the disc or gear in the horizontal through groove, and the horizontal rack and gear are meshed for transmission, so that the disc is driven to rotate through the shaft, and the trajectory of any particle in the circular motion can be intuitively used. On the disk, the sine wave curve is explained and drawn on the front side of the magnetic whiteboard through the paintbrush.
在本实施例中,圆盘选用透明的圆盘,方便学生透视理解教学原理;演示时可在磁性白板前侧面标出坐标、参数说明,在圆盘上标出相位、记号和图示;不同的画笔插孔能画出不同振幅曲线,不同直径的齿轮能画出曲线的不同频率;齿轮直径越小画出的曲线频率越大,画笔插孔离圆心越远,画出的曲线振幅越大。In this embodiment, the disk is transparent, which is convenient for students to understand the teaching principle in perspective; during the demonstration, coordinates and parameter descriptions can be marked on the front side of the magnetic whiteboard, and phases, symbols and diagrams can be marked on the disk; different The brush jack can draw curves with different amplitudes, and gears with different diameters can draw curves with different frequencies; the smaller the diameter of the gear, the greater the frequency of the curve drawn, and the farther the brush jack is from the center of the circle, the greater the amplitude of the curve drawn .
根据正弦波的物理含义,圆盘平面旋转时,其上任一质点在时间轴上的投影即为正弦波。如果设质点的初始相位为Φ,旋转频率f、振幅A、周期T、周长λ,则质点运动的轨迹圆的转速为2πf、周长为2πA、直径为2A、初始相位为Φ,则存在三角函数公式。According to the physical meaning of the sine wave, when the disk plane rotates, the projection of any particle on the time axis is a sine wave. If the initial phase of the particle is Φ, the rotation frequency f, the amplitude A, the period T, and the circumference λ, then the rotational speed of the trajectory circle of the particle motion is 2πf, the circumference is 2πA, the diameter is 2A, and the initial phase is Φ, then there is Trigonometric formulas .
教师在教学时,展示和使用本演示装置,给学生作示范性的实验,学生通过实际观察和印证,获得生动而直观的感性知识,形成正确而深刻的理论概念。When teaching, the teacher displays and uses this demonstration device to perform demonstration experiments for students. Through actual observation and confirmation, students can obtain vivid and intuitive perceptual knowledge and form correct and profound theoretical concepts.
本演示装置不仅提供了形象的感性材料,引起学习的兴趣,集中学生的注意力,有助于对所学知识的深入理解、记忆和巩固;而且能使学生通过观察和思考,进行思维活动,发展观察力、想象力和思维能力。This demonstration device not only provides visual perceptual materials, arouses interest in learning, concentrates students' attention, and helps to understand, memorize and consolidate the knowledge they have learned; it also enables students to carry out thinking activities through observation and thinking, Develop observation, imagination and thinking skills.
上列较佳实施例,对本实用新型的目的、技术方案和优点进行了进一步详细说明,所应理解的是,以上所述仅为本实用新型的较佳实施例而已,并不用以限制本实用新型,凡在本实用新型的精神和原则之内,所作的任何修改、等同替换、改进等,均应包含在本实用新型的保护范围之内。The above preferred embodiments have further described the purpose, technical solutions and advantages of the utility model in detail. It should be understood that the above descriptions are only preferred embodiments of the utility model and are not intended to limit the utility model. For new models, any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the present utility model shall be included within the protection scope of the present utility model.
Claims (8)
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Application Number | Priority Date | Filing Date | Title |
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CN201821577410.2U CN209373864U (en) | 2018-09-27 | 2018-09-27 | A teaching demonstration device for drawing sine curves |
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CN201821577410.2U CN209373864U (en) | 2018-09-27 | 2018-09-27 | A teaching demonstration device for drawing sine curves |
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Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN108922333A (en) * | 2018-09-27 | 2018-11-30 | 莆田学院 | Describe sinusoidal teaching demonstration device and application method |
CN114141109A (en) * | 2021-11-30 | 2022-03-04 | 桂林电子科技大学 | A small cycloid demonstration teaching aid for advanced mathematics teaching |
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2018
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Cited By (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN108922333A (en) * | 2018-09-27 | 2018-11-30 | 莆田学院 | Describe sinusoidal teaching demonstration device and application method |
CN114141109A (en) * | 2021-11-30 | 2022-03-04 | 桂林电子科技大学 | A small cycloid demonstration teaching aid for advanced mathematics teaching |
CN114141109B (en) * | 2021-11-30 | 2024-02-20 | 桂林电子科技大学 | Advanced mathematics teaching is with small-size cycloid demonstration teaching aid |
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