CN111261003A - Probability demonstration device for mathematical teaching - Google Patents

Probability demonstration device for mathematical teaching Download PDF

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CN111261003A
CN111261003A CN202010120733.4A CN202010120733A CN111261003A CN 111261003 A CN111261003 A CN 111261003A CN 202010120733 A CN202010120733 A CN 202010120733A CN 111261003 A CN111261003 A CN 111261003A
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storage cylinder
base
fixing ring
wire
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CN111261003B (en
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付雪荣
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Lin Danqin
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Heze University
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Abstract

一种用于数学教学的概率演示装置,用于实现对古典概率概率公式的演绎。它包括:底座,在底座的顶部设有耳板;储存机构,储存机构包括储存筒、固定在储存筒下部的固定环、滑动设置在固定环底部的一对限位板、设置在限位板与固定环之间的弹簧、设置在储存筒上部的一对线轮、设置在线轮与对应的限位板之间的拉线;推出机构,它设置在储存筒左侧,用于将储存筒最下方的硬币推出至储存筒的右侧;抛掷机构,它包括与底座铰接的翘板、固定在翘板前端的托板、设置在底座上驱动翘板摆动的驱动单元,在底座顶部设有凹槽,自然状态时托板置于凹槽内。该装置可以方便实现对概率的演示。

Figure 202010120733

A probability demonstration device for mathematics teaching, which is used to realize the deduction of the classical probability formula. It includes: a base with a lug plate on the top of the base; a storage mechanism, the storage mechanism includes a storage cylinder, a fixing ring fixed at the lower part of the storage cylinder, a pair of limit plates slidably arranged on the bottom of the fixing ring, and a pair of limit plates arranged on the limit plate The spring between the fixing ring and the fixed ring, a pair of wire pulleys arranged on the upper part of the storage cylinder, and the pull wire between the wire pulley and the corresponding limit plate; the push-out mechanism, which is set on the left side of the storage cylinder, is used to push the storage cylinder to the maximum. The coin below is pushed out to the right side of the storage cylinder; the tossing mechanism includes a rocker hinged with the base, a support plate fixed at the front end of the rocker, and a drive unit arranged on the base to drive the rocker to swing, and a concave is provided on the top of the base. groove, the pallet is placed in the groove in the natural state. The device can facilitate the demonstration of probability.

Figure 202010120733

Description

一种用于数学教学的概率演示装置A probability demonstration device for mathematics teaching

技术领域technical field

本发明涉及高等数学教学技术领域,具体地说是一种用于数学教学的概率演示装置。The invention relates to the technical field of advanced mathematics teaching, in particular to a probability demonstration device for mathematics teaching.

背景技术Background technique

概率是高等数学中单靠讲解较难掌握的知识点之一,其中古典概率是概率学习中首先接触的概念。对于古典概率公式的演绎,需要较多的试验次数作为支撑。Probability is one of the most difficult knowledge points in advanced mathematics to be mastered by explanation alone, among which classical probability is the first concept that comes into contact in probability learning. For the deduction of the classical probability formula, more trials are needed as support.

发明内容SUMMARY OF THE INVENTION

本发明的目的在于提供一种用于数学教学的概率演示装置,用于实现对古典概率概率公式的演绎。The purpose of the present invention is to provide a probability demonstration device for mathematics teaching, which is used to realize the deduction of the classical probability formula.

本发明解决其技术问题所采取的技术方案是:一种用于数学教学的概率演示装置,其特征是,它包括:The technical solution adopted by the present invention to solve the technical problem is: a probability demonstration device for mathematics teaching, which is characterized in that it includes:

底座,在底座的顶部设有耳板;The base is provided with an ear plate on the top of the base;

储存机构,储存机构包括储存筒、固定在储存筒下部的固定环、滑动设置在固定环底部的一对限位板、设置在限位板与固定环之间的弹簧、设置在储存筒上部的一对线轮、设置在线轮与对应的限位板之间的拉线,在弹簧的作用下限位板置于储存筒内腔的下部,转动线轮时通过拉线拉动限位板使得限位板从储存筒内腔下部移开;The storage mechanism includes a storage cylinder, a fixing ring fixed at the lower part of the storage cylinder, a pair of limit plates slidably arranged at the bottom of the fixing ring, a spring arranged between the limit plate and the fixing ring, and a spring arranged on the upper part of the storage cylinder. A pair of wire pulleys, the pull wire arranged between the wire pulley and the corresponding limit plate, the limit plate is placed in the lower part of the inner cavity of the storage cylinder under the action of the spring, and the limit plate is pulled by the pull wire when the wire pulley is rotated, so that the limit plate is moved from The lower part of the inner cavity of the storage cylinder is removed;

推出机构,它设置在储存筒左侧,用于将储存筒最下方的硬币推出至储存筒的右侧;The push-out mechanism, which is arranged on the left side of the storage cylinder, is used to push out the coins at the bottom of the storage cylinder to the right side of the storage cylinder;

抛掷机构,它包括与底座铰接的翘板、固定在翘板前端的托板、设置在底座上驱动翘板摆动的驱动单元,在底座顶部设有凹槽,自然状态时托板置于凹槽内。The throwing mechanism includes a rocker hinged with the base, a support plate fixed at the front end of the rocker, and a drive unit arranged on the base to drive the rocker to swing. There is a groove on the top of the base, and the support plate is placed in the groove in the natural state Inside.

进一步地,在固定环上设有一对安装槽,在安装槽内转动安装有第一导向轮和第二导向轮,拉线的第一端与限位板固定连接,拉线的第二端与线轮外壁固定连接,且拉线与第一、第二导向轮均接触。Further, a pair of installation grooves are arranged on the fixing ring, and a first guide wheel and a second guide wheel are rotatably installed in the installation groove, the first end of the pull wire is fixedly connected with the limit plate, and the second end of the pull wire is connected with the wire wheel. The outer wall is fixedly connected, and the pull wire is in contact with the first and second guide wheels.

进一步地,线轮与从动齿轮共轴设置,在储存筒上部转动安装有与从动齿轮啮合的主动齿轮。Further, the wire pulley and the driven gear are arranged coaxially, and a driving gear meshed with the driven gear is rotatably mounted on the upper part of the storage cylinder.

进一步地,驱动机构包括固定在底座上的电机、固定在电机输出端的曲柄、与翘板后端铰接的连杆,连杆还与曲柄铰接连接。Further, the driving mechanism includes a motor fixed on the base, a crank fixed on the output end of the motor, a connecting rod hinged with the rear end of the rocker, and the connecting rod is also hingedly connected with the crank.

进一步地,在底座的顶部固定有一对支耳,支耳与翘板铰接。Further, a pair of lugs are fixed on the top of the base, and the lugs are hinged with the rocker.

进一步地,在底座的顶部固定有固定环,限位环置于固定环内侧且限位环外壁与固定环内壁接触。Further, a fixing ring is fixed on the top of the base, the limiting ring is placed inside the fixing ring, and the outer wall of the limiting ring is in contact with the inner wall of the fixing ring.

本发明的有益效果是:本发明提供的一种用于数学教学的概率演示装置,硬币在自重下下落,移出储存筒的硬币在推出机构的作用下移出储存筒,此后被抛掷机构抛出,然后进行统计即可。The beneficial effects of the present invention are: a probability demonstration device for mathematics teaching provided by the present invention, the coin falls under its own weight, and the coin moved out of the storage cylinder is moved out of the storage cylinder under the action of the push-out mechanism, and then thrown out by the tossing mechanism, Then do statistics.

附图说明Description of drawings

图1为本发明的正面示意图;Fig. 1 is the front schematic diagram of the present invention;

图2为图1中去掉围板后的示意图;Fig. 2 is the schematic diagram after removing the enclosure plate in Fig. 1;

图3为推出机构的示意图;Fig. 3 is the schematic diagram of the push-out mechanism;

图4为抛掷机构的示意图;4 is a schematic diagram of a throwing mechanism;

图5为储存机构的示意图;5 is a schematic diagram of a storage mechanism;

图6为储存机构内部结构示意图;6 is a schematic diagram of the internal structure of the storage mechanism;

图7为图5中的A向向视图;Fig. 7 is the A-direction view in Fig. 5;

图8为图6中的B处局部放大示意图;Fig. 8 is a partial enlarged schematic diagram at B in Fig. 6;

图9为硬币在储存筒内的放置示意图;Figure 9 is a schematic diagram of the placement of coins in the storage cylinder;

图中:1底座,11围板,12支耳,2电动伸缩杆,21推板,3翘板,31托板,32耳板,33连杆,34曲柄,35电机,4定位环,41开口,5储存筒,6固定环,61限位板,611弹簧板,612弹簧,62安装槽,63第一导向轮,64第二导向轮,65拉线,66线轮,67从动齿轮,68主动齿轮,69旋钮,7硬币。In the picture: 1 base, 11 enclosure, 12 lugs, 2 electric telescopic rods, 21 push plates, 3 rockers, 31 pallets, 32 lugs, 33 connecting rods, 34 cranks, 35 motors, 4 positioning rings, 41 Opening, 5 storage cylinder, 6 fixing ring, 61 limit plate, 611 spring plate, 612 spring, 62 installation groove, 63 first guide wheel, 64 second guide wheel, 65 pull wire, 66 wire wheel, 67 driven gear, 68 drive gears, 69 knobs, 7 coins.

具体实施方式Detailed ways

如图1至图9所示,本发明主要包括底座1、围板11、推出机构、储存机构和抛掷机构,下面结合附图对本发明进行详细描述。As shown in Figures 1 to 9, the present invention mainly includes a base 1, a surrounding plate 11, a push-out mechanism, a storage mechanism and a throwing mechanism. The present invention will be described in detail below with reference to the accompanying drawings.

如图1、图2所示,底座1为矩形机构,在底座的顶部固定有围板11,围板为封闭结构,包括四个侧壁。在底座顶部的左端设有定位环4,定位环为圆环形结构。在定位环下部的侧壁上设有开口41,以便于硬币的移出。As shown in FIG. 1 and FIG. 2 , the base 1 is a rectangular structure, and an enclosure plate 11 is fixed on the top of the base. The enclosure plate is a closed structure and includes four side walls. A positioning ring 4 is arranged at the left end of the top of the base, and the positioning ring is a circular ring structure. An opening 41 is provided on the side wall of the lower part of the positioning ring to facilitate the removal of coins.

在定位环上安装储存机构,如图5至图9所示,储存机构包括圆筒形的储存筒5、固定在储存筒下部外壁上的固定环6、滑动设置在固定环底部的一对左右设置的限位板61、转动安装在固定环上的安装槽62内的第一导向轮63、转动安装在固定环上的安装槽内的第二导向轮64、转动安装在储存筒上部外壁上的一对线轮66、与线轮共轴设置的从动齿轮67、转动安装在储存筒上部外壁上的主动齿轮68、设置在限位板与线轮之间的拉线65、固定在固定环底部的弹簧板611、设置在弹簧板与限位板之间的弹簧612,在主动齿轮上固定有旋钮69,主动齿轮与从动齿轮啮合配合。安装槽为左右设置的一对,拉线的第一端与限位板固定连接,且拉线与第一、第二导向轮接触后,拉线的第二端缠绕在线轮外壁。在弹簧的作用下限位板的一段置于储存筒内腔下方,进而对储存筒内的硬币起到托举的作用。转动旋钮时,可以使得拉线缠绕在线轮上,进而通过拉线拉动限位板的移动,使得限位板从储存筒内腔下方移开。将限位板从储存筒内腔下方移开后,储存筒内的硬币在自身重力作用下下落。如图9所示,在储存筒内放置硬币7。线轮与储存筒之间设有阻尼件,这样在阻尼件的作用下弹簧受压缩后固定,且限位板与固定环相对固定。A storage mechanism is installed on the positioning ring. As shown in Figures 5 to 9, the storage mechanism includes a cylindrical storage cylinder 5, a fixing ring 6 fixed on the lower outer wall of the storage cylinder, and a pair of left and right sliding sets on the bottom of the fixing ring. The set limit plate 61, the first guide wheel 63 rotatably installed in the installation groove 62 on the fixed ring, the second guide wheel 64 rotatably installed in the installation groove on the fixed ring, rotatably installed on the upper outer wall of the storage cylinder A pair of wire pulleys 66, a driven gear 67 arranged coaxially with the wire pulley, a driving gear 68 rotatably installed on the upper outer wall of the storage cylinder, a pull wire 65 disposed between the limit plate and the wire pulley, and a fixed ring A spring plate 611 at the bottom, a spring 612 arranged between the spring plate and the limit plate, a knob 69 is fixed on the driving gear, and the driving gear is engaged with the driven gear. The installation grooves are a pair of left and right, the first end of the pull wire is fixedly connected with the limit plate, and after the pull wire contacts the first and second guide wheels, the second end of the pull wire is wound around the outer wall of the pull wire. Under the action of the spring, a section of the limiting plate is placed under the inner cavity of the storage cylinder, thereby supporting the coins in the storage cylinder. When the knob is turned, the pull wire can be wound on the spool, and then the limit plate can be moved by the pull wire, so that the limit plate is moved away from the inner cavity of the storage cylinder. After the limiting plate is removed from the lower part of the inner cavity of the storage cylinder, the coins in the storage cylinder fall down under the action of its own gravity. As shown in FIG. 9, coins 7 are placed in the cartridge. A damping member is arranged between the wire wheel and the storage cylinder, so that the spring is compressed and fixed under the action of the damping member, and the limiting plate and the fixing ring are relatively fixed.

在底座上设有推出机构,如图3所示,推出机构包括固定在底座顶部的电动伸缩杆2、固定在电动伸缩杆上的推板21,在电动伸缩杆的作用下,推板可以穿过缺口进入定位环内。There is a push-out mechanism on the base. As shown in Figure 3, the push-out mechanism includes an electric telescopic rod 2 fixed on the top of the base and a push plate 21 fixed on the electric telescopic rod. Under the action of the electric telescopic rod, the push plate can pass through Enter the positioning ring through the notch.

使用时,将储存筒的下部置于定位环内,此时固定环外壁与定位环内壁接触,进而实现对储存筒的固定。旋转旋钮,可以驱动两限位板向两侧移动,当限位板从储存筒内腔下方移开后,储存筒内的硬币7在自重下下落且最下方的硬币移出储存筒。推板的厚度与硬币的厚度、限位板的厚度均相等。When in use, the lower part of the storage cylinder is placed in the positioning ring, and at this time, the outer wall of the fixing ring contacts the inner wall of the positioning ring, thereby realizing the fixing of the storage cylinder. Rotating the knob can drive the two limit plates to move to both sides. When the limit plates move away from the inner cavity of the storage cylinder, the coins 7 in the storage cylinder fall under their own weight and the bottom coin moves out of the storage cylinder. The thickness of the push plate is equal to the thickness of the coin and the thickness of the limit plate.

为实现对硬币的抛掷,在底座的顶部还设有抛掷机构,如图3、图4所示,在底座的顶部固定有一对支耳12,在支耳上铰接安装有翘板3,在翘板的前端固定有托板31,在底座顶部设有容纳托板的凹槽。在底座顶部固定有电机35,在电机的输出端固定有曲柄34,在翘板后端固定有耳板32,在耳板与曲柄之间设有连杆33,连杆与耳板、连杆与曲柄之间均铰接连接。在电机的作用下可以驱动翘板绕铰接点的摆动,且翘板的后端向下移动时,翘板前端的托板将硬币抛出,进而实现对硬币的抛掷。翘板的后端置于最高点时,托板置于凹槽内,此时推出机构可以将储存筒内的硬币推出至托板上。电机、曲柄和连杆构成了驱动单元。In order to realize the tossing of coins, a tossing mechanism is also provided on the top of the base. As shown in Figures 3 and 4, a pair of lugs 12 are fixed on the top of the base, and a rocker 3 is hingedly installed on the lugs. A support plate 31 is fixed at the front end of the plate, and a groove for accommodating the support plate is provided at the top of the base. A motor 35 is fixed on the top of the base, a crank 34 is fixed at the output end of the motor, an ear plate 32 is fixed at the rear end of the rocker, a connecting rod 33 is arranged between the ear plate and the crank, and the connecting rod is connected to the ear plate and the connecting rod. Both are hingedly connected to the crank. Under the action of the motor, the rocker can be driven to swing around the hinge point, and when the rear end of the rocker moves downward, the support plate at the front end of the rocker throws the coin, thereby realizing the tossing of the coin. When the rear end of the rocker is placed at the highest point, the support plate is placed in the groove, and the push-out mechanism can push the coins in the storage cylinder to the support plate at this time. The motor, crank and connecting rod form the drive unit.

下面对本发明的使用进行描述:The use of the present invention is described below:

(1)、将硬币放置在储存筒内,然后将储存筒放置在固定环上,旋转旋钮,使得限位板从储存筒内腔下方移开;(1), place the coin in the storage cylinder, then place the storage cylinder on the fixing ring, and rotate the knob to make the limit plate move away from the inner cavity of the storage cylinder;

(2)、驱动电动伸缩杆动作,此时推板不断往复移动进出固定环,将储存筒内的硬币逐一推动至托板上;(2) Drive the action of the electric telescopic rod. At this time, the push plate continuously moves in and out of the fixed ring, and pushes the coins in the storage cylinder to the support plate one by one;

(3)、硬币置于托板上后,电机动作,将硬币抛出;(3) After the coin is placed on the pallet, the motor moves to throw the coin;

(4)、待所有硬币抛掷完成后,统计硬币两面朝上的数目。(4) After all coins are tossed, count the number of coins that come up on both sides.

Claims (6)

1.一种用于数学教学的概率演示装置,其特征是,它包括:1. A probability demonstration device for mathematics teaching, characterized in that it comprises: 底座,在底座的顶部设有耳板;The base is provided with an ear plate on the top of the base; 储存机构,储存机构包括储存筒、固定在储存筒下部的固定环、滑动设置在固定环底部的一对限位板、设置在限位板与固定环之间的弹簧、设置在储存筒上部的一对线轮、设置在线轮与对应的限位板之间的拉线,在弹簧的作用下限位板置于储存筒内腔的下部,转动线轮时通过拉线拉动限位板使得限位板从储存筒内腔下部移开;The storage mechanism includes a storage cylinder, a fixing ring fixed at the lower part of the storage cylinder, a pair of limit plates slidably arranged at the bottom of the fixing ring, a spring arranged between the limit plate and the fixing ring, and a spring arranged on the upper part of the storage cylinder. A pair of wire pulleys, the pull wire arranged between the wire pulley and the corresponding limit plate, the limit plate is placed in the lower part of the inner cavity of the storage cylinder under the action of the spring, and the limit plate is pulled by the pull wire when the wire pulley is rotated, so that the limit plate is moved from The lower part of the inner cavity of the storage cylinder is removed; 推出机构,它设置在储存筒左侧,用于将储存筒最下方的硬币推出至储存筒的右侧;The push-out mechanism, which is arranged on the left side of the storage cylinder, is used to push out the coins at the bottom of the storage cylinder to the right side of the storage cylinder; 抛掷机构,它包括与底座铰接的翘板、固定在翘板前端的托板、设置在底座上驱动翘板摆动的驱动单元,在底座顶部设有凹槽,自然状态时托板置于凹槽内。The throwing mechanism includes a rocker hinged with the base, a support plate fixed at the front end of the rocker, and a drive unit arranged on the base to drive the rocker to swing. There is a groove on the top of the base, and the support plate is placed in the groove in the natural state Inside. 2.根据权利要求1所述的一种用于数学教学的概率演示装置,其特征是,在固定环上设有一对安装槽,在安装槽内转动安装有第一导向轮和第二导向轮,拉线的第一端与限位板固定连接,拉线的第二端与线轮外壁固定连接,且拉线与第一、第二导向轮均接触。2 . The probability demonstration device for mathematics teaching according to claim 1 , wherein a pair of installation grooves are arranged on the fixing ring, and the first guide wheel and the second guide wheel are rotatably installed in the installation grooves. 3 . The first end of the pulling wire is fixedly connected with the limit plate, the second end of the pulling wire is fixedly connected with the outer wall of the wire wheel, and the pulling wire is in contact with the first and second guide wheels. 3.根据权利要求1所述的一种用于数学教学的概率演示装置,其特征是,线轮与从动齿轮共轴设置,在储存筒上部转动安装有与从动齿轮啮合的主动齿轮。3 . The probability demonstration device for mathematics teaching according to claim 1 , wherein the wire wheel and the driven gear are arranged coaxially, and a driving gear that meshes with the driven gear is rotatably installed on the upper part of the storage cylinder. 4 . 4.根据权利要求1所述的一种用于数学教学的概率演示装置,其特征是,驱动机构包括固定在底座上的电机、固定在电机输出端的曲柄、与翘板后端铰接的连杆,连杆还与曲柄铰接连接。4. A probability demonstration device for mathematics teaching according to claim 1, wherein the driving mechanism comprises a motor fixed on the base, a crank fixed on the output end of the motor, and a connecting rod hinged with the rear end of the rocker , the connecting rod is also hingedly connected with the crank. 5.根据权利要求1所述的一种用于数学教学的概率演示装置,其特征是,在底座的顶部固定有一对支耳,支耳与翘板铰接。5 . The probability demonstration device for mathematics teaching according to claim 1 , wherein a pair of lugs are fixed on the top of the base, and the lugs are hinged with the rocker. 6 . 6.根据权利要求1所述的一种用于数学教学的概率演示装置,其特征是,在底座的顶部固定有固定环,限位环置于固定环内侧且限位环外壁与固定环内壁接触。6. A probability demonstration device for mathematics teaching according to claim 1, wherein a fixing ring is fixed on the top of the base, the limiting ring is placed inside the fixing ring and the outer wall of the limiting ring and the inner wall of the fixing ring are touch.
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GB464684A (en) * 1935-10-18 1937-04-19 British Insulated Cables Ltd Improvements relating to prepayment meters
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