CN114999280B - Mathematics teaching three-dimensional space display device - Google Patents
Mathematics teaching three-dimensional space display device Download PDFInfo
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- 239000011324 bead Substances 0.000 claims abstract description 58
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Abstract
本发明公开了一种数学教学三维空间展示装置,包括底座及顶座,底座与顶座之间设置有若干组演示组,每一演示组均包括位于底座内的下电动卷线装置、位于底座内的演示珠控制装置、位于顶座内的上电动卷线装置、连接于下电动卷线装置及上电动卷线装置之间的透明水线、多颗与透明水线活动连接的演示珠;演示珠控制装置包括下端封口的存放管、连接于存放管上端的固定半圆限位片、活动连接于存放管上端的活动半圆限位片、驱动活动半圆限位片运动的电磁铁、使活动半圆限位片复位的弹簧,演示珠设置于存放管内,存放管的下端开设有穿线孔。本发明可直接在三维空间内建立三维函数模型,相较于计算机展示,更加立体直观,更有助于学生理解及记忆。
The invention discloses a three-dimensional space display device for mathematics teaching, which includes a base and a top base. Several demonstration groups are provided between the base and the top base. Each demonstration group includes a lower electric winding device located in the base, and a lower electric winding device located in the base. There is a demonstration bead control device inside, an upper electric winding device located in the top base, a transparent waterline connected between the lower electric winding device and the upper electric winding device, and a plurality of demonstration beads movably connected to the transparent waterline; The demonstration bead control device includes a storage tube with a sealed lower end, a fixed semicircular limiter connected to the upper end of the storage tube, a movable semicircular limiter movable connected to the upper end of the storage tube, an electromagnet that drives the movable semicircular limiter to move, and an electromagnet that drives the movable semicircle limiter to move. The spring for restoring the limiting piece and the demonstration bead are arranged in the storage tube, and a threading hole is provided at the lower end of the storage tube. The present invention can directly establish a three-dimensional function model in a three-dimensional space. Compared with computer display, it is more three-dimensional and intuitive, and is more conducive to students' understanding and memory.
Description
技术领域Technical field
本发明涉及教学用具技术领域,特别涉及一种数学教学三维空间展示装置。The invention relates to the technical field of teaching tools, and in particular to a three-dimensional space display device for mathematics teaching.
背景技术Background technique
空间观念是培养学生创新精神的基础条件,也是当前数学教学中的一项,随着新课程教学的不断深入,如何培养学生空间观念成为了数学教育的重要目标。Spatial concept is the basic condition for cultivating students' innovative spirit, and it is also an item in current mathematics teaching. With the continuous deepening of new curriculum teaching, how to cultivate students' spatial concept has become an important goal of mathematics education.
空间三维函数曲线是经典微分几何的主要研究对象之一,直观上曲线可看成空间一个自由度质点运动的轨迹。一般情况下,研究空间曲线的有利工具是微积分,即通过微积分来推导三个刻划一条空间曲线几何性质的基本量,如弧长和曲率。但如若将微积分方程式所表示的空间曲线具象地向学生展示,则离不开三维笛卡尔坐标,三维笛卡尔坐标是通过相互独立的三个变量构成的具有一定意义的空间内的点。The three-dimensional function curve in space is one of the main research objects of classical differential geometry. Intuitively, the curve can be regarded as the trajectory of a particle movement with one degree of freedom in space. In general, a useful tool for studying space curves is calculus, which is used to derive three basic quantities that describe the geometric properties of a space curve, such as arc length and curvature. However, if the space curve represented by the calculus equation is concretely shown to students, it is inseparable from three-dimensional Cartesian coordinates. Three-dimensional Cartesian coordinates are points in a space with a certain meaning composed of three independent variables.
一般情况下,三维空间函数曲线或曲面的几何表现,无法在二维的黑板教学面内直观显现地展示给学生,为此,只能借助计算机三维成像软件,预先输入特定参数、变量及函数,并建立数学模型,然后生成三维函数曲线或曲面图像,虽然解决了三维函数图像的生成问题,但是三维函数图像绘制的全过程却完全依赖计算机软件预设程序完成,缺少学习者主动参与的互动性,并不利于学生空间立体思维的培养以加深理解、记忆。Under normal circumstances, the geometric representation of three-dimensional space function curves or surfaces cannot be visually displayed to students on a two-dimensional blackboard teaching surface. For this reason, specific parameters, variables and functions can only be input in advance with the help of computer three-dimensional imaging software. And establish a mathematical model, and then generate a three-dimensional function curve or surface image. Although the problem of generating a three-dimensional function image is solved, the whole process of drawing a three-dimensional function image is completely dependent on the computer software preset program, lacking the interactivity of the learner's active participation. , is not conducive to the cultivation of students' spatial and three-dimensional thinking to deepen understanding and memory.
发明内容Contents of the invention
本发明的目的是提供一种数学教学三维空间展示装置,可直接在三维空间内建立三维函数模型,相较于计算机展示,更加立体直观,更有助于学生理解及记忆。The purpose of the present invention is to provide a three-dimensional space display device for mathematics teaching, which can directly establish a three-dimensional function model in a three-dimensional space. Compared with computer display, it is more three-dimensional and intuitive, and is more conducive to students' understanding and memory.
本发明的上述技术目的是通过以下技术方案得以实现的:The above technical objectives of the present invention are achieved through the following technical solutions:
一种数学教学三维空间展示装置,包括呈上下相对设置的底座及顶座,所述底座与所述顶座之间设置有若干组呈阵列分布的演示组,每一演示组均包括位于所述底座内的下电动卷线装置、位于所述底座内的演示珠控制装置、位于所述顶座内的上电动卷线装置、连接于所述下电动卷线装置及所述上电动卷线装置之间的透明水线、多颗与所述透明水线活动连接且活动设置于所述演示珠控制装置内的演示珠,每一演示珠与所述透明水线的连接均有阻尼;A three-dimensional space display device for mathematics teaching, including a base and a top base arranged oppositely up and down. A number of demonstration groups distributed in an array are provided between the base and the top base. Each demonstration group includes a The lower electric winding device in the base, the demonstration bead control device located in the base, the upper electric winding device located in the top base, connected to the lower electric winding device and the upper electric winding device There is a transparent waterline between them, and a plurality of demonstration beads movably connected to the transparent waterline and movably arranged in the demonstration bead control device, and the connection between each demonstration bead and the transparent waterline is damped;
所述演示珠控制装置包括下端封口的存放管、连接于所述存放管上端的固定半圆限位片、活动连接于所述存放管上端且与所述固定半圆限位片相配合的活动半圆限位片、驱动所述活动半圆限位片运动的电磁铁、使所述活动半圆限位片复位的弹簧,所述演示珠设置于所述存放管内,所述存放管的下端开设有穿线孔;The demonstration bead control device includes a storage tube with a lower end sealed, a fixed semicircular limiter connected to the upper end of the storage tube, and a movable semicircular limiter movably connected to the upper end of the storage tube and matching the fixed semicircular limiter. position piece, an electromagnet that drives the movement of the movable semicircular limit piece, a spring that resets the movable semicircular limit piece, the demonstration beads are arranged in the storage tube, and a threading hole is provided at the lower end of the storage tube;
所述透明水线的上端缠绕在所述上电动卷线装置上,所述透明水线的下端从所述存放管穿过所述穿线孔后缠绕在所述下电动卷线装置上,当所述活动半圆限位片远离所述固定半圆限位片后,所述透明水线可带动所述演示珠离开或进入所述存放管内。The upper end of the transparent water line is wound on the upper electric winding device, and the lower end of the transparent water line passes through the threading hole from the storage tube and is wound on the lower electric winding device. After the movable semicircular limiting piece moves away from the fixed semicircular limiting piece, the transparent waterline can drive the demonstration beads to leave or enter the storage tube.
通过采用上述技术方案,通过进行程序编辑,使得输入相应的函数,就可使相应的下电动卷线装置及上电动卷线装置带动透明水线上下移动,使演示珠上下移动,若干演示珠配合采用点布局的方式展示三维函数模型;若有闭合函数模型或几何图形时,透明水线上移,并且上移过程中,电磁铁间断性的工作,使透明水线带出等间距的多颗演示珠,配合组合成闭合函数模型或几何图形,需要收回演示珠时,透明水线下移,电磁铁控制活动半圆限位片打开,使演示珠逐渐回收到存放管。By adopting the above technical solution and editing the program to input the corresponding function, the corresponding lower electric winding device and the upper electric winding device can drive the transparent waterline to move up and down, so that the demonstration beads can move up and down, and a number of demonstration beads can cooperate with each other. The three-dimensional function model is displayed in the form of point layout; if there is a closed function model or geometric figure, the transparent waterline moves up, and during the upward movement, the electromagnet works intermittently, causing the transparent waterline to bring out multiple equally spaced particles. The demonstration beads are combined into a closed function model or geometric figure. When the demonstration beads need to be recovered, the transparent water line moves downwards, and the electromagnet controls the movable semicircular limiter to open, so that the demonstration beads are gradually recovered into the storage tube.
本发明的进一步设置为:所述下电动卷线装置包括设置于所述底座内底部的下存放壳、安装于所述下存放壳内的下外转子电机,所述下存放壳的侧壁开设有下进线口,所述透明水线的下端穿过所述下进线口缠绕在所述下外转子电机的外转子上,所述存放管的下端与所述下存放壳的上端连接。The present invention is further configured as follows: the lower electric winding device includes a lower storage case arranged at the inner bottom of the base, and a lower outer rotor motor installed in the lower storage case; the side wall of the lower storage case is provided with There is a lower cable inlet. The lower end of the transparent waterline passes through the lower cable inlet and is wound around the outer rotor of the lower outer rotor motor. The lower end of the storage tube is connected to the upper end of the lower storage shell.
本发明的进一步设置为:所述电磁铁的下端通过连接条与所述下存放壳的上端连接,所述活动半圆限位片远离所述固定半圆限位片的一端连接有铁块,所述电磁铁连接有供所述铁块滑动的滑轨,所述弹簧设置于所述电磁铁与所述铁块之间。The present invention is further configured as follows: the lower end of the electromagnet is connected to the upper end of the lower storage case through a connecting strip, and an end of the movable semicircular limiting piece away from the fixed semicircular limiting piece is connected to an iron block, and the The electromagnet is connected to a slide rail for the iron block to slide, and the spring is arranged between the electromagnet and the iron block.
本发明的进一步设置为:所述固定半圆限位片靠近所述活动半圆限位片的一边开设有与所述演示珠形状相配合的半圆孔。A further configuration of the present invention is that a semicircular hole matching the shape of the demonstration bead is opened on one side of the fixed semicircular limiting piece close to the movable semicircular limiting piece.
本发明的进一步设置为:所述上电动卷线装置包括设置于所述顶座内顶部的上存放壳、安装于所述上存放壳内的上外转子电机,所述上存放壳的侧壁开设有上进线口,所述透明水线的上端穿过所述上进线口缠绕在所述上外转子电机的外转子上。The present invention is further configured as follows: the upper electric winding device includes an upper storage shell arranged on the inner top of the top base, an upper outer rotor motor installed in the upper storage shell, and the side walls of the upper storage shell An upper wire inlet is provided, and the upper end of the transparent water line passes through the upper wire inlet and is wound around the outer rotor of the upper outer rotor motor.
本发明的进一步设置为:贯穿每一演示珠均开设有与所述透明水线滑动连接的穿孔,每一演示珠的滑孔与所述透明水线的滑动连接均有阻尼。A further configuration of the present invention is that a perforation is provided through each demonstration bead to be slidably connected to the transparent waterline, and the sliding connection between the sliding hole of each demonstration bead and the transparent waterline is damped.
本发明的进一步设置为:每一演示珠均呈红色。A further configuration of the present invention is that each demonstration bead is red.
本发明的进一步设置为:所述顶座内设置有控制器,所述顶座的上端设置有显示屏及多个操作按键,每一下电动卷线装置、每一上电动卷线装置、每一电磁铁、所述显示屏及每一操作按键均与所述控制器电连。A further configuration of the present invention is: a controller is provided in the top base, and a display screen and a plurality of operation buttons are provided at the upper end of the top base. Each lower electric winding device, each upper electric winding device, and each The electromagnet, the display screen and each operation button are electrically connected to the controller.
本发明的进一步设置为:所述底座与所述顶座之间设置有用于罩住所有演示组的透明罩。A further configuration of the present invention is that a transparent cover for covering all demonstration groups is provided between the base and the top base.
本发明的进一步设置为:所述底座的上端及所述顶座的下端均开设有若干与所述透明水线一一对应的通孔。A further configuration of the present invention is that the upper end of the base and the lower end of the top base are each provided with a number of through holes corresponding to the transparent water line.
与现有技术相比,本发明具有以下有益效果:Compared with the prior art, the present invention has the following beneficial effects:
其一、本发明通过下电动卷线装置及上电动卷线装置配合拉动透明水线上下来回移动,可使得透明水线上的演示珠采用点布局的方式展示三维函数模型,更加立体直观的向学生在三维空间内展示三维函数,更有助于学生理解及记忆;First, the present invention uses the lower electric winding device and the upper electric winding device to cooperate with the transparent water line to move up and down, so that the demonstration beads on the transparent water line can display a three-dimensional function model in a dot layout, which is more three-dimensional and intuitive. Displaying three-dimensional functions to students in three-dimensional space will help students understand and remember;
其二、本发明通过演示珠控制装置来控制将演示珠释放到透明水线上,使得透明水线在向上移动过程中能够一条线携带多颗演示珠,便于演示一下闭合的函数图形,以及一些几何图形,如六面体。Second, the present invention uses the demonstration bead control device to control the release of demonstration beads onto the transparent water line, so that the transparent water line can carry multiple demonstration beads in one line during its upward movement, which facilitates the demonstration of closed function graphics and some Geometric shapes such as hexahedron.
附图说明Description of the drawings
图1是本发明的整体结构示意图;Figure 1 is a schematic diagram of the overall structure of the present invention;
图2用于展示底座与顶座之间的演示组;Figure 2 is used to show the demonstration group between the base and the top base;
图3是单个演示组的整体结构示意图;Figure 3 is a schematic diagram of the overall structure of a single demonstration group;
图4用于展示下电动卷线装置及演示珠控制装置的内部结构;Figure 4 is used to show the internal structure of the electric winding device and demonstration bead control device;
图5用于展示上电动卷线装置的内部结构。Figure 5 is used to show the internal structure of the electric winding device.
图中:1、底座;2、顶座;3、下电动卷线装置;31、下存放壳;32、下外转子电机;33、下进线口;4、上电动卷线装置;41、上存放壳;42、上外转子电机;43、上进线口;5、演示珠控制装置;51、存放管;52、固定半圆限位片;53、活动半圆限位片;54、电磁铁;55、弹簧;56、半圆孔;57、铁块;58、滑轨;59、连接条;6、透明水线;7、演示珠;81、显示屏;82、操作按键;9、透明罩。In the picture: 1. Base; 2. Top base; 3. Lower electric winding device; 31. Lower storage case; 32. Lower outer rotor motor; 33. Lower cable inlet; 4. Upper electric winding device; 41. Upper storage shell; 42. Upper outer rotor motor; 43. Upper cable inlet; 5. Demonstration bead control device; 51. Storage tube; 52. Fixed semicircular limiter; 53. Movable semicircular limiter; 54. Electromagnet; 55. Spring; 56. Semi-circular hole; 57. Iron block; 58. Slide rail; 59. Connecting strip; 6. Transparent waterline; 7. Demonstration beads; 81. Display screen; 82. Operation buttons; 9. Transparent cover.
具体实施方式Detailed ways
以下结合附图对本发明作进一步详细说明。The present invention will be further described in detail below with reference to the accompanying drawings.
实施例,参照图1-5,一种数学教学三维空间展示装置,包括呈上下相对设置的底座1及顶座2,底座1与顶座2之间设置有100组呈10×10分布的演示组,底座1与顶座2之间设置有用于罩住所有演示组的透明罩9,每一演示组均包括一个位于底座1内的下电动卷线装置3、一个位于底座1内的演示珠控制装置5、一个位于顶座2内的上电动卷线装置4、一根连接于下电动卷线装置3及上电动卷线4装置之间的透明水线6、七颗与透明水线6活动连接且活动设置于演示珠控制装置5内的演示珠7,每一演示珠7与透明水线6的连接均有阻尼。下电动卷线装置3及上电动卷线装置4配合拉动透明水线6上下移动,改变透明水线6上演示珠7的位置,采用点布局的方式展示三维函数模型。Embodiment, with reference to Figures 1-5, a three-dimensional space display device for mathematics teaching includes a base 1 and a top base 2 arranged oppositely up and down. There are 100 groups of demonstrations distributed in a 10×10 distribution between the base 1 and the top base 2. group, a transparent cover 9 for covering all demonstration groups is provided between the base 1 and the top base 2. Each demonstration group includes a lower electric winding device 3 located in the base 1, and a demonstration bead located in the base 1 Control device 5, an upper electric winding device 4 located in the top base 2, a transparent water line 6 connected between the lower electric winding device 3 and the upper electric winding 4 device, seven and transparent water lines 6 The demonstration beads 7 are movably connected and movably arranged in the demonstration bead control device 5. The connection between each demonstration bead 7 and the transparent waterline 6 is damped. The lower electric winding device 3 and the upper electric winding device 4 cooperate to pull the transparent waterline 6 to move up and down, change the position of the demonstration beads 7 on the transparent waterline 6, and display the three-dimensional function model in a point layout manner.
底座1的上端及顶座2的下端均开设有100个与透明水线6一一对应的通孔,贯穿每一演示珠7均开设有一个与透明水线6滑动连接的穿孔,每一演示珠7的滑孔与透明水线6的滑动连接均有阻尼,使在不受外力作用时,演示珠7能够随透明水线6移动,不会因为重力下滑,每一演示珠7均呈红色,红色的演示珠7颜色醒目,更易于观察。The upper end of the base 1 and the lower end of the top base 2 are provided with 100 through holes corresponding to the transparent water lines 6. A through hole is provided through each demonstration bead 7 to be slidably connected to the transparent water lines 6. Each demonstration The sliding connection between the sliding hole of the bead 7 and the transparent waterline 6 is damped, so that when no external force is applied, the demonstration bead 7 can move with the transparent waterline 6 and will not slide down due to gravity. Each demonstration bead 7 is red. , the red demonstration beads 7 are eye-catching in color and easier to observe.
下电动卷线装置3包括一个设置于底座1内底部的下存放壳31、一个安装于下存放壳31内的下外转子电机32,下存放壳31的侧壁开设有一个下进线口33,透明水线6的下端穿过下进线口33缠绕在下外转子电机32的外转子上。下外转子电机32转动可使透明水线6缠绕在外转子上,或逐渐从外转子上松开。The lower electric winding device 3 includes a lower storage case 31 arranged at the inner bottom of the base 1, a lower outer rotor motor 32 installed in the lower storage case 31, and a lower cable inlet 33 is provided on the side wall of the lower storage case 31. , the lower end of the transparent water line 6 passes through the lower cable inlet 33 and is wound around the outer rotor of the lower outer rotor motor 32 . The rotation of the lower outer rotor motor 32 can make the transparent water line 6 wrap around the outer rotor or gradually loosen from the outer rotor.
上电动卷线装置4包括一个设置于顶座2内顶部的上存放壳41、一个安装于上存放壳41内的上外转子电机42,上存放壳41的侧壁开设有一个上进线口43,透明水线6的上端穿过上进线口43缠绕在上外转子电机42的外转子上。上外转子电机42转动可使透明水线6缠绕在外转子上,或逐渐从外转子上松开。The upper electric winding device 4 includes an upper storage shell 41 arranged on the top of the top base 2, an upper outer rotor motor 42 installed in the upper storage shell 41, and an upper cable inlet 43 is provided on the side wall of the upper storage shell 41 , the upper end of the transparent water line 6 passes through the upper cable inlet 43 and is wound around the outer rotor of the upper outer rotor motor 42 . The rotation of the upper outer rotor motor 42 can make the transparent water line 6 wrap around the outer rotor or gradually loosen from the outer rotor.
演示珠控制装置5包括一根下端封口的存放管51、一片连接于存放管51上端的固定半圆限位片52、一片活动连接于存放管51上端且与固定半圆限位片52相配合的活动半圆限位片53、一个驱动活动半圆限位片53运动的电磁铁54、一根使活动半圆限位片53复位的弹簧55,演示珠7设置于存放管51内,存放管51的下端开设有一个供透明水线6穿过的穿线孔(图略),存放管51的下端与下存放壳31的上端连接,固定半圆限位片52靠近活动半圆限位片53的一边开设有一个与演示珠7形状相配合的半圆孔56。当活动半圆限位片53远离固定半圆限位片52后,透明水线6可带动演示珠7离开或进入存放管51内。The demonstration bead control device 5 includes a storage tube 51 with a lower end sealed, a fixed semicircular limiter 52 connected to the upper end of the storage tube 51, and a movable piece movably connected to the upper end of the storage tube 51 and matched with the fixed semicircular limiter 52. Semi-circular limit piece 53, an electromagnet 54 that drives the movement of the movable semi-circular limit piece 53, and a spring 55 that resets the movable semi-circular limit piece 53. The demonstration beads 7 are arranged in the storage tube 51, and the lower end of the storage tube 51 is opened There is a threading hole (not shown) for the transparent waterline 6 to pass through. The lower end of the storage tube 51 is connected to the upper end of the lower storage shell 31. The fixed semicircular limiter 52 is provided with a hole on one side close to the movable semicircle limiter 53. Demonstration bead 7 is shaped to match the semicircular hole 56. When the movable semicircular limiting piece 53 moves away from the fixed semicircular limiting piece 52, the transparent waterline 6 can drive the demonstration beads 7 to leave or enter the storage tube 51.
电磁铁54的下端通过一条连接条59与下存放壳31的上端连接,活动半圆限位片53远离固定半圆限位片52的一端连接有一块铁块57,电磁铁54连接有一个供铁块57滑动的滑轨58,弹簧55设置于电磁铁54与铁块57之间。电磁铁54通电吸住铁块57压缩弹簧55,使活动半圆限位片53远离固定半圆限位片52,便于演示珠7进出存放管51。The lower end of the electromagnet 54 is connected to the upper end of the lower storage case 31 through a connecting strip 59. The end of the movable semicircular limiter 53 away from the fixed semicircular limiter 52 is connected to an iron block 57, and the electromagnet 54 is connected to an iron supply block. 57 slides the slide rail 58, and the spring 55 is arranged between the electromagnet 54 and the iron block 57. The electromagnet 54 is energized and attracts the iron block 57 to compress the spring 55, so that the movable semicircular limiting piece 53 is away from the fixed semicircular limiting piece 52, making it easier for the demonstration beads 7 to enter and exit the storage tube 51.
顶座2内设置有一个控制器(图略),顶座2的上端设置有一块显示屏81及多个操作按键82,每一下电动卷线装置3、每一上电动卷线装置4、每一电磁铁54、显示屏81及每一操作按键82均与控制器电连。There is a controller (not shown) in the top base 2, and a display screen 81 and a plurality of operation buttons 82 are provided at the upper end of the top base 2. Each lower electric winding device 3, each upper electric winding device 4, and each An electromagnet 54, the display screen 81 and each operation button 82 are electrically connected to the controller.
原理:通过进行程序编辑,使得输入相应的函数,就可使相应的下电动卷线装置3及上电动卷线装置4带动透明水线6上下移动,使演示珠7上下移动,若干演示珠7配合采用点布局的方式展示三维函数模型;若有闭合函数模型或几何图形时,透明水线6上移,并且上移过程中,电磁铁54间断性的工作,使透明水线6带出等间距的多颗演示珠7,配合组合成闭合函数模型或几何图形,需要收回演示珠7时,透明水线6下移,电磁铁54控制活动半圆限位片53打开,使演示珠7逐渐回收到存放管51。Principle: By editing the program and inputting the corresponding function, the corresponding lower electric winding device 3 and the upper electric winding device 4 can drive the transparent waterline 6 to move up and down, causing the demonstration beads 7 to move up and down, and several demonstration beads 7 The three-dimensional function model is displayed using point layout; if there is a closed function model or geometric figure, the transparent waterline 6 moves upward, and during the upward movement, the electromagnet 54 works intermittently, so that the transparent waterline 6 is brought out, etc. Multiple demonstration beads 7 at intervals are combined to form a closed function model or geometric figure. When the demonstration beads 7 need to be recovered, the transparent waterline 6 moves downward, and the electromagnet 54 controls the movable semicircular limiter 53 to open, so that the demonstration beads 7 are gradually recovered. to storage tube 51.
本具体实施例仅仅是对本发明的解释,其并不是对本发明的限制,本领域技术人员在阅读完本说明书后可以根据需要对本实施例做出没有创造性贡献的修改,但只要在本发明的权利要求范围内都受到专利法的保护。This specific embodiment is only an explanation of the present invention, and it is not a limitation of the present invention. Those skilled in the art can make modifications to this embodiment without creative contribution as needed after reading this specification. However, as long as the rights of the present invention are All requirements are protected by patent law.
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