CN209232221U - A Portable Demonstration Teaching Aid for Mathematical Probability Distribution - Google Patents
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Abstract
本实用新型公开了一种便携式数学概率分布演示教具，包括：横长延伸的教具板，所述教具板内沿其长度方向贯穿设有空槽；位于空槽内的多个演示机构，多个演示机构沿所述空槽的长度方向排布；贯穿设置于空槽顶面的多个圆孔；所述演示机构包括：伸缩柱、第一导向杆、第二导向杆、用于挤压所述伸缩柱的圆盘和用于固定所述伸缩柱的伸缩位置的限位机构；当所述伸缩柱处于压缩状态时，圆盘位于空槽内，当所述伸缩柱处于伸展状态时，伸缩柱带动圆盘穿过圆孔并向圆孔上方延伸；设置的伸缩柱为压缩弹簧，利于压缩弹簧的可伸缩性，形成直观的直方图演示，代替了传统复杂的演示机构，在达到直观演示的同时，很大程度上简化了整体结构，从而具有很好的便携性。
The utility model discloses a portable demonstration teaching aid for mathematical probability distribution, which comprises: a teaching aid board extending horizontally, the teaching aid board is provided with empty slots along its length direction; a plurality of demonstration mechanisms located in the empty slots, a plurality of The demonstration mechanism is arranged along the length direction of the empty slot; runs through a plurality of circular holes arranged on the top surface of the empty slot; the demonstration mechanism includes: a telescopic column, a first guide rod, a second guide rod, The disk of the telescopic column and the limit mechanism for fixing the telescopic position of the telescopic column; when the telescopic column is in a compressed state, the disk is located in the empty groove; The column drives the disc to pass through the circular hole and extend to the top of the circular hole; the set telescopic column is a compression spring, which is beneficial to the scalability of the compression spring, forming an intuitive histogram demonstration, replacing the traditional complicated demonstration mechanism, and achieving intuitive demonstration At the same time, it greatly simplifies the overall structure, so it has good portability.
Description
技术领域technical field
本实用新型涉及数学教具相关技术领域，具体涉及一种便携式数学概率分布演示教具。The utility model relates to the related technical field of mathematics teaching aids, in particular to a portable demonstration teaching aid for mathematical probability distribution.
背景技术Background technique
概率，又称或然率、机会率或机率、可能性，是数学概率论的基本概念，是一个在0到1之间的实数，是对随机事件发生的可能性的度量。表示一个事件发生的可能性大小的数，叫做该事件的概率。它是随机事件出现的可能性的量度，同时也是概率论最基本的概念之一。人们常说某人有百分之多少的把握能通过这次考试，某件事发生的可能性是多少，这都是概率的实例，在高等数学概率论的教学过程中，概率论的入门是学好概率的基础，但因概率论抽象，常采用一些简单的教具进行演示，但都起不到显著的演示效果。Probability, also known as probability, chance rate or probability, possibility, is the basic concept of mathematical probability theory. It is a real number between 0 and 1, and it is a measure of the possibility of random events. A number representing the likelihood of an event occurring is called the probability of the event. It is a measure of the probability of a random event and one of the most basic concepts of probability theory. People often say what percentage of a person is sure to pass the exam, how likely is something to happen, these are examples of probability, in the teaching process of probability theory in advanced mathematics, the introduction of probability theory is Learn the basics of probability well, but due to the abstraction of probability theory, some simple teaching aids are often used for demonstration, but none of them can achieve a significant demonstration effect.
现有技术中，有各种各样的演示概率直方图的教具，但是，存在以下弊端：In the prior art, there are various teaching aids for demonstrating the probability histogram, but there are the following disadvantages:
现有技术中的教具，演示的方式多种多样，通常由安装板、直方演示板和演示结构组成，但是现有技术中带有直方演示板的教具，体积较大，教师不方便携带，并且演示结构复杂，常常需要与其他物品进行配合演示(如套环、彩带、布条、磁铁等)，导致使用的便捷性差，为此我们提出一种便携式数学概率分布演示教具以解决上述问题。The teaching aids in the prior art have a variety of demonstration modes, and are usually composed of a mounting board, a rectangular demonstration board and a demonstration structure, but the teaching aids with a rectangular demonstration board in the prior art are relatively large in size and inconvenient for teachers to carry. The demonstration structure is complicated, and it often needs to be demonstrated in conjunction with other items (such as collars, ribbons, cloth strips, magnets, etc.), resulting in poor convenience of use. Therefore, we propose a portable mathematical probability distribution demonstration teaching aid to solve the above problems.
实用新型内容Utility model content
针对上述现有技术存在的问题，本实用新型提供了一种便携式数学概率分布演示教具，设置的伸缩柱为压缩弹簧，利于压缩弹簧的可伸缩性，形成直观的直方图演示，代替了传统复杂的演示机构，在达到直观演示的同时，很大程度上简化了整体结构，从而具有很好的便携性。Aiming at the problems existing in the above-mentioned prior art, the utility model provides a portable mathematical probability distribution demonstration teaching aid. The set telescopic column is a compression spring, which is beneficial to the scalability of the compression spring and forms an intuitive histogram demonstration, replacing the traditional complicated The demonstration mechanism, while achieving intuitive demonstration, greatly simplifies the overall structure, so it has good portability.
为了实现上述目的，本实用新型采用的一种便携式数学概率分布演示教具，包括：In order to achieve the above object, a kind of portable mathematical probability distribution demonstration teaching aid that the utility model adopts comprises:
横长延伸的教具板，所述教具板内沿其长度方向贯穿设有空槽；A horizontally extending teaching aid board, the teaching aid board is provided with an empty slot along its length direction;
位于空槽内的多个演示机构，多个演示机构沿所述空槽的长度方向排布；a plurality of demonstration mechanisms located in the empty slot, and the plurality of demonstration mechanisms are arranged along the length direction of the empty slot;
贯穿设置于空槽顶面的多个圆孔；Through a plurality of circular holes arranged on the top surface of the hollow groove;
所述演示机构包括：伸缩柱、第一导向杆、第二导向杆、用于挤压所述伸缩柱的圆盘和用于固定所述伸缩柱的伸缩位置的限位机构；The demonstration mechanism includes: a telescopic column, a first guide rod, a second guide rod, a disk for squeezing the telescopic column, and a limit mechanism for fixing the telescopic position of the telescopic column;
当所述伸缩柱处于压缩状态时，圆盘位于空槽内，当所述伸缩柱处于伸展状态时，伸缩柱带动圆盘穿过圆孔并向圆孔上方延伸。When the telescopic column is in a compressed state, the disk is located in the hollow groove; when the telescopic column is in an extended state, the telescopic column drives the disk to pass through the circular hole and extend upwards from the circular hole.
作为上述方案的进一步优化，所述演示机构与圆孔的数量保持一致。As a further optimization of the above solution, the demonstration mechanism is consistent with the number of circular holes.
作为上述方案的进一步优化，所述第一导向杆的下端与空槽的底面固定连接，第二导向杆的下端插入第一导向杆中部竖长延伸的第一插孔内，所述第二导向杆的上端与圆盘的下端中部固定连接；As a further optimization of the above scheme, the lower end of the first guide rod is fixedly connected to the bottom surface of the hollow groove, the lower end of the second guide rod is inserted into the first socket extending vertically in the middle of the first guide rod, and the second guide rod The upper end of the rod is fixedly connected with the middle part of the lower end of the disc;
所述伸缩柱套设于第一导向杆的外侧，且伸缩柱的上下端面分别与圆盘的下端、空槽的顶面紧贴。The telescopic column is sheathed on the outside of the first guide rod, and the upper and lower end surfaces of the telescopic column are in close contact with the lower end of the disc and the top surface of the hollow groove respectively.
作为上述方案的进一步优化，所述限位机构位于第二导向杆的下端内，所述限位机构为两个对称设置的限位凸起；As a further optimization of the above scheme, the limiting mechanism is located in the lower end of the second guide rod, and the limiting mechanism is two symmetrically arranged limiting protrusions;
两个所述限位凸起均位于第二导向杆下端内横向贯穿设置的通道中，两个限位凸起相互远离的一端分别穿过第一导向杆侧壁的导向孔并伸至第一导向杆的外侧；The two position-limiting protrusions are all located in the channel transversely penetrating in the lower end of the second guide rod, and the ends of the two position-limiting protrusions away from each other respectively pass through the guide holes on the side walls of the first guide rod and extend to the first guide rod. the outer side of the guide rod;
两个限位凸起相互靠近的一端分别设有一个齿条，两个所述齿条在相互靠近的一侧均通过齿牙与传动齿轮的外侧啮合连接；The ends of the two position-limiting protrusions that are close to each other are respectively provided with a rack, and the two racks are connected to the outer side of the transmission gear through teeth on the sides that are close to each other;
所述传动齿轮位于通道的中部内。The transmission gear is located in the middle of the channel.
作为上述方案的进一步优化，所述传动齿轮的上端与转轴固定连接，所述转轴的上端穿过通道顶面的第二插孔，并伸入圆盘中部的贯穿槽内。As a further optimization of the above solution, the upper end of the transmission gear is fixedly connected to the rotating shaft, and the upper end of the rotating shaft passes through the second insertion hole on the top surface of the channel and extends into the through groove in the middle of the disc.
作为上述方案的进一步优化，所述伸缩柱为压缩弹簧。As a further optimization of the above solution, the telescopic column is a compression spring.
作为上述方案的进一步优化，所述限位凸起的侧视截面为圆形。As a further optimization of the above solution, the side view section of the limiting protrusion is circular.
作为上述方案的进一步优化，所述导向孔的数量为多个，且导向孔沿第一导向杆的长度方向排布。As a further optimization of the above solution, there are multiple guide holes, and the guide holes are arranged along the length direction of the first guide rod.
作为上述方案的进一步优化，所述限位凸起的上下侧分别设有一个延伸滑块，所述延伸滑块嵌接在通道内与其匹配的延伸滑槽中。As a further optimization of the above solution, an extension slider is respectively provided on the upper and lower sides of the limiting protrusion, and the extension slider is embedded in a matching extension chute in the channel.
作为上述方案的进一步优化，所述转轴与第二插孔的相接处设有轴承。As a further optimization of the above solution, a bearing is provided at the joint between the rotating shaft and the second insertion hole.
本实用新型的一种便携式数学概率分布演示教具，具备如下有益效果：A portable mathematical probability distribution demonstration teaching aid of the utility model has the following beneficial effects:
1.本实用新型的一种便携式数学概率分布演示教具，设置的伸缩柱为压缩弹簧，利于压缩弹簧的可伸缩性，形成直观的直方图演示(如图2所示)，代替了传统复杂的演示机构，结构简单，在达到直观演示的同时，很大程度上简化了整体结构，从而具有很好的便携性。1. A kind of portable mathematical probability distribution demonstration teaching aid of the present utility model, the telescoping column that is set is compression spring, is beneficial to the scalability of compression spring, forms intuitive histogram demonstration (as shown in Figure 2), has replaced traditional complex The demonstration mechanism has a simple structure, and while achieving an intuitive demonstration, it greatly simplifies the overall structure, thus having good portability.
2.本实用新型的一种便携式数学概率分布演示教具，设置的圆盘始终对伸缩柱形成挤压，使得伸缩柱稳固的套设于第二导向杆的外侧，使用可靠。2. A portable mathematical probability distribution demonstration teaching aid of the present utility model. The set disc always presses the telescopic column, so that the telescopic column is firmly sleeved on the outside of the second guide rod, and it is reliable to use.
3.本实用新型的一种便携式数学概率分布演示教具，设置的限位机构，对伸缩柱伸缩后的位置进行固定，方便操作，使用便捷，实用性强。3. A portable mathematical probability distribution demonstration teaching aid of the utility model is provided with a limit mechanism to fix the position of the telescopic column after expansion and contraction, which is convenient to operate, easy to use, and strong in practicability.
参照后文的说明与附图，详细公开了本实用新型的特定实施方式，指明了本实用新型的原理可以被采用的方式，应该理解，本实用新型的实施方式在范围上并不因而受到限制，在所附权利要求的精神和条款的范围内，本实用新型的实施方式包括许多改变、修改和等同。With reference to the following description and accompanying drawings, specific embodiments of the present utility model are disclosed in detail, and the manner in which the principle of the present utility model can be adopted is indicated. It should be understood that the scope of the embodiments of the present utility model is not limited thereby. , within the scope of the spirit and terms of the appended claims, the embodiments of the present invention include many changes, modifications and equivalents.
附图说明Description of drawings
图1为本实用新型的结构示意图；Fig. 1 is the structural representation of the utility model;
图2为本实用新型使用时的结构示意图；Fig. 2 is the structural representation when the utility model is used;
图3为本实用新型的第一导向杆、第二导向杆和圆盘连接结构示意图；Fig. 3 is a schematic diagram of the connection structure of the first guide rod, the second guide rod and the disc of the present invention;
图4为本实用新型的伸缩柱结构示意图；Fig. 4 is the structural schematic diagram of telescopic column of the present utility model;
图5为本实用新型的限位机构示意图；Fig. 5 is the schematic diagram of the position-limiting mechanism of the present utility model;
图6为本实用新型的齿条与传动齿轮连接结构俯视图。Fig. 6 is a top view of the connection structure between the rack and the transmission gear of the present invention.
图中：教具板1、空槽2、伸缩柱3、第一导向杆4、第二导向杆5、圆盘6、圆孔7、限位凸起8、通道9、齿条10、传动齿轮11、转轴12、贯穿槽13、延伸滑块14。In the figure: teaching aid board 1, empty slot 2, telescopic column 3, first guide rod 4, second guide rod 5, disc 6, round hole 7, limit protrusion 8, channel 9, rack 10, transmission gear 11. Rotating shaft 12, through groove 13, and extended slider 14.
具体实施方式Detailed ways
为使本实用新型的目的、技术方案和优点更加清楚明了，下面通过附图中及实施例，对本实用新型进行进一步详细说明。但是应该理解，此处所描述的具体实施例仅仅用以解释本实用新型，并不用于限制本实用新型的范围。In order to make the purpose, technical solutions and advantages of the utility model more clear, the utility model will be further described in detail through the accompanying drawings and embodiments below. However, it should be understood that the specific embodiments described here are only used to explain the utility model, and are not intended to limit the scope of the utility model.
请参阅说明书附图1-6，本实用新型提供一种技术方案：一种便携式数学概率分布演示教具，包括：横长延伸的教具板1，教具板1内沿其长度方向贯穿设有空槽2；位于空槽2内的多个演示机构，多个演示机构沿空槽2的长度方向排布；贯穿设置于空槽2顶面的多个圆孔7；演示机构包括：伸缩柱3、第一导向杆4、第二导向杆5、用于挤压伸缩柱3的圆盘6和用于固定伸缩柱3的伸缩位置的限位机构，当伸缩柱3处于压缩状态时，圆盘6位于空槽2内，当伸缩柱3处于伸展状态时，伸缩柱3带动圆盘6穿过圆孔7并向圆孔7上方延伸，演示机构与圆孔7的数量保持一致；Please refer to the accompanying drawings 1-6 of the specification, the utility model provides a technical solution: a portable demonstration teaching aid for mathematical probability distribution, including: a teaching aid board 1 extending horizontally, and an empty slot is arranged inside the teaching aid board 1 along its length direction 2. A plurality of demonstration mechanisms located in the empty slot 2, arranged along the length direction of the empty slot 2; a plurality of round holes 7 arranged on the top surface of the empty slot 2; the demonstration mechanism includes: a telescopic column 3, The first guide rod 4, the second guide rod 5, the disc 6 for extruding the telescopic column 3 and the limit mechanism for fixing the telescopic position of the telescopic column 3, when the telescopic column 3 is in a compressed state, the disc 6 Located in the empty slot 2, when the telescopic column 3 is in the extended state, the telescopic column 3 drives the disc 6 to pass through the round hole 7 and extend to the top of the round hole 7, and the number of the demonstration mechanism is consistent with the number of round holes 7;
具体参阅图4，设置的伸缩柱3为压缩弹簧，利于压缩弹簧的可伸缩性，形成直观的直方图演示，代替了传统复杂的演示机构，结构简单，在达到直观演示的同时，很大程度上简化了整体结构，从而具有很好的便携性；Referring specifically to Fig. 4, the set telescopic column 3 is a compression spring, which is beneficial to the scalability of the compression spring, forms an intuitive histogram demonstration, replaces the traditional complicated demonstration mechanism, and has a simple structure. The overall structure is simplified, so it has good portability;
第一导向杆4的下端与空槽2的底面固定连接，第二导向杆5的下端插入第一导向杆4中部竖长延伸的第一插孔内，第二导向杆5的上端与圆盘6的下端中部固定连接，伸缩柱3套设于第一导向杆4的外侧，且伸缩柱3的上下端面分别与圆盘6的下端、空槽2的顶面紧贴，设置的圆盘6始终对伸缩柱3形成挤压，使得伸缩柱3稳固的套设于第二导向杆5的外侧，使用可靠；The lower end of the first guide rod 4 is fixedly connected with the bottom surface of the empty groove 2, the lower end of the second guide rod 5 is inserted in the first jack extending vertically in the middle part of the first guide rod 4, and the upper end of the second guide rod 5 is connected to the disk. The middle part of the lower end of 6 is fixedly connected, and the telescopic column 3 is sleeved on the outside of the first guide rod 4, and the upper and lower end surfaces of the telescopic column 3 are respectively in close contact with the lower end of the disc 6 and the top surface of the hollow groove 2, and the set disc 6 The telescopic column 3 is always squeezed, so that the telescopic column 3 is firmly sleeved on the outside of the second guide rod 5, and the use is reliable;
具体参阅图4和图5，限位机构位于第二导向杆5的下端内，限位机构为两个对称设置的限位凸起8，限位凸起8的侧视截面为圆形，设置的限位机构，对伸缩柱3伸缩后的位置进行固定，方便操作，使用便捷，实用性强；Referring specifically to Fig. 4 and Fig. 5, the limit mechanism is located in the lower end of the second guide rod 5, and the limit mechanism is two symmetrically arranged limit projections 8, the side view section of the limit projection 8 is circular, and The unique limit mechanism fixes the telescopic position of the telescopic column 3, which is convenient to operate, easy to use, and strong in practicability;
限位凸起8的上下侧分别设有一个延伸滑块，延伸滑块14嵌接在通道9内与其匹配的延伸滑槽中，两个限位凸起8均位于第二导向杆5下端内横向贯穿设置的通道9中，两个限位凸起8相互远离的一端分别穿过第一导向杆4侧壁的导向孔并伸至第一导向杆4的外侧，导向孔的数量为多个，且导向孔沿第一导向杆4的长度方向排布，两个限位凸起8相互靠近的一端分别设有一个齿条10，两个齿条10在相互靠近的一侧均通过齿牙与传动齿轮11的外侧啮合连接；The upper and lower sides of the limit protrusion 8 are respectively provided with an extension slider, the extension slider 14 is embedded in the matching extension chute in the channel 9, and the two limit protrusions 8 are located in the lower end of the second guide rod 5 In the channel 9 that runs through in the transverse direction, one end of the two position-limiting protrusions 8 away from each other respectively passes through the guide hole on the side wall of the first guide rod 4 and extends to the outside of the first guide rod 4. The number of the guide holes is multiple , and the guide holes are arranged along the length direction of the first guide rod 4, and one end of the two position-limiting protrusions 8 close to each other is respectively provided with a rack 10, and the two racks 10 pass through the teeth on the sides close to each other. Mesh connection with the outer side of the transmission gear 11;
传动齿轮11位于通道9的中部内，传动齿轮11的上端与转轴12固定连接，转轴12的上端穿过通道9顶面的第二插孔，并伸入圆盘6中部的贯穿槽13内，转轴12与第二插孔的相接处设有轴承，转轴12位于圆盘6中部的贯穿槽13内，转轴12设置的位置，不会对演示产生任何影响。The transmission gear 11 is located in the middle part of the channel 9, the upper end of the transmission gear 11 is fixedly connected with the rotating shaft 12, and the upper end of the rotating shaft 12 passes through the second socket on the top surface of the channel 9, and extends into the through groove 13 in the middle part of the disc 6, A bearing is provided at the joint between the rotating shaft 12 and the second socket, and the rotating shaft 12 is located in the through groove 13 in the middle of the disc 6. The position of the rotating shaft 12 will not have any influence on the demonstration.
工作原理：本实用新型在使用时，先将转轴反向转动，转轴12通过两个啮合的齿条10，带动相邻的两个限位凸起8相向移动，限位凸起8移动到通道9内，解除对第二导向杆5的固定，此时，在伸缩柱3的作用下，将圆盘6向上顶动，到达需要位置；Working principle: when the utility model is in use, the rotating shaft is rotated in the opposite direction first, and the rotating shaft 12 drives the two adjacent limit protrusions 8 to move towards each other through the two meshing racks 10, and the limit protrusion 8 moves to the channel 9, remove the fixation to the second guide rod 5, at this time, under the effect of the telescopic column 3, the disc 6 is pushed upwards to reach the required position;
再将转轴12正向转动，转轴12通过两个啮合的齿条10，带动相邻的两个限位凸起8相背移动，限位凸起8从通道9内移动到通道9外侧(如图4所示)，并穿过第一导向杆4侧壁的贯穿槽13，从而使得第二导向杆5的位置固定，圆盘6的位置固定，伸缩柱3为压缩弹簧，利于了压缩弹簧的可伸缩性，形成直观的直方图演示；Then the rotating shaft 12 is forwardly rotated, and the rotating shaft 12 drives the two adjacent position-limiting protrusions 8 to move away from each other through two meshing racks 10, and the position-limiting protrusion 8 moves from the passage 9 to the outside of the passage 9 (such as 4), and pass through the through groove 13 of the side wall of the first guide rod 4, so that the position of the second guide rod 5 is fixed, the position of the disc 6 is fixed, and the telescopic column 3 is a compression spring, which is beneficial to the compression spring Scalability, forming an intuitive histogram demonstration;
由于圆盘6始终对伸缩柱3形成挤压，使得伸缩柱3稳固的套设于第二导向杆5的外侧，并且，限位凸起8在移动的过程中，延伸滑块14在与其匹配的延伸滑槽内滑动，移动性佳；Since the disk 6 always presses the telescopic column 3, the telescopic column 3 is firmly sleeved on the outside of the second guide rod 5, and the limit protrusion 8 is in the process of moving, and the extension slider 14 is matched with it. Sliding in the extended chute, good mobility;
在不使用时(如图1所示)，多个演示机构(图1中给出了6个演示机构)均位于空槽2内，不占用过多的空间，便携性强。When not in use (as shown in Figure 1), a plurality of demonstration mechanisms (six demonstration mechanisms are provided in Figure 1) are all located in the empty slot 2, which does not take up too much space and is highly portable.
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、等同替换或改进等，均应包含在本实用新型的保护范围之内。It is only a preferred embodiment of the utility model, and is not intended to limit the utility model. Any modification, equivalent replacement or improvement made within the spirit and principles of the utility model shall be included in the scope of the utility model. within the scope of protection.
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