High school mathematics multi-functional parabola drawing device

文档序号:671286 发布日期:2021-04-30 浏览:16次 中文

阅读说明:本技术 一种高中数学多功能抛物线作图装置 (High school mathematics multi-functional parabola drawing device ) 是由 朱婷婷 朱金凤 朱润 孙家和 张新全 于 2021-02-24 设计创作,主要内容包括:本发明公开了一种高中数学多功能抛物线作图装置,属于教学教具领域,为从抛物线的定义出发演示抛物线轨迹的形成过程;所述高中数学多功能抛物线作图装置包括带刻度的第一伸缩杆设有滑槽和凹槽,带刻度的第二伸缩杆左端铰接有万向轮,万向轮和小型第二电动伸缩杆设置在滑槽中;小型第二电动伸缩杆、小型第一电动伸缩杆和带刻度的第二伸缩杆分别设有第一按钮、第二按钮和卡扣,其中小型第二电动伸缩杆和小型第一电动伸缩杆之间装有空心铰接链,小型第一电动伸缩杆与带刻度的第二伸缩杆装有螺丝;带刻度的第一伸缩杆的两端和带刻度的第二伸缩杆的右端分别设有螺丝杆吸盘机器械脚垫;可依据抛物线的定义做抛物线和圆,该装置简小且操作便捷。(The invention discloses a multifunctional parabola drawing device for high school mathematics, which belongs to the field of teaching aids and aims to demonstrate the forming process of a parabola track from the definition of a parabola; the multifunctional parabola drawing device for high school mathematics comprises a first telescopic rod with scales, a universal wheel, a small second electric telescopic rod and a second telescopic rod, wherein the first telescopic rod with scales is provided with a chute and a groove; the small second electric telescopic rod, the small first electric telescopic rod and the second telescopic rod with scales are respectively provided with a first button, a second button and a buckle, wherein a hollow hinged chain is arranged between the small second electric telescopic rod and the small first electric telescopic rod, and screws are arranged between the small first electric telescopic rod and the second telescopic rod with scales; two ends of the first telescopic rod with the scales and the right end of the second telescopic rod with the scales are respectively provided with a screw rod sucker mechanical foot pad; the device can be used for making parabolas and circles according to the definition of the parabolas, and is simple and small and convenient to operate.)

1. A multifunctional parabola drawing device for high school mathematics comprises a first telescopic rod with scales, a second telescopic rod with scales, a universal wheel, a small second electric telescopic rod and a first control device, wherein the first telescopic rod with scales is provided with a chute and a groove; a hollow hinged chain is arranged between the small second electric telescopic rod and the small first electric telescopic rod, and screws are arranged between the small first electric telescopic rod and the second telescopic rod with scales; the two ends of the first telescopic rod with the scales and the right end of the second telescopic rod with the scales are respectively provided with screw rod sucker machine appliance foot pads.

2. The multifunctional parabola drawing device for high school mathematics as claimed in claim 1, wherein said small second electric telescopic rod, said small first electric telescopic rod and said second telescopic rod with scales are respectively provided with a first button, a second button and a buckle.

Technical Field

The invention belongs to the field of mathematical teaching aids, relates to a partial drawing device of a conic section of high and medium mathematics, and particularly belongs to a drawing device integrating functions of circles, parabolas and the like.

Background

The conic section topic is an important knowledge module of high school mathematics, the whole knowledge of the module is relatively abstract and difficult, and the parabola is defined as follows: the locus of points in the plane that are equidistant from the fixed point and the fixed line is called a parabola. Wherein the fixed point is called the focus of the parabola and the fixed straight line is called the directrix of the parabola. In order to allow students to understand the forming process of the parabolic track from a defined angle, drawing can be performed only by means of a mathematical geometry drawing board or GeoGebra mathematical software, the forming process of the parabolic track by the students is more limited to the generation of electronic screen animation, and the forming process of the parabolic track lacks perception and manipulative ability.

At present, teachers in middle and primary schools draw circles through compasses in a common way for circle and parabola real object drawing tools, and the drawing tools for the parabola are relatively few or the cost of the prior art is high, so that the technology is inconvenient to use.

Disclosure of Invention

According to the defects of the prior art, the invention aims to solve the problems of parabola plotting and circle plotting, and the device skillfully integrates a telescopic rod with scales, a chute, a screw rod sucker mechanical foot pad, a hinged chain and the like.

In order to solve the technical problems, the invention adopts the technical scheme that:

a multifunctional parabola drawing device for high school mathematics comprises a first telescopic rod with scales, a universal wheel, a small second electric telescopic rod and a first telescopic rod, wherein the first telescopic rod with scales is provided with a chute and a groove; the small second electric telescopic rod, the small first electric telescopic rod and the second telescopic rod with scales are respectively provided with a first button, a second button and a buckle, wherein a hollow hinged chain is arranged between the small second electric telescopic rod and the small first electric telescopic rod, and screws are arranged between the small first electric telescopic rod and the second telescopic rod with scales; the two ends of the first telescopic rod with the scales and the right end of the second telescopic rod with the scales are respectively provided with a first screw rod sucker mechanical foot pad, a second screw rod sucker mechanical foot pad and a third screw rod sucker mechanical foot pad.

A use method of a multifunctional parabola drawing device for high school mathematics comprises the following steps: the right end of the second telescopic rod with the scales is pushed, a universal wheel of the second telescopic rod with the scales is pushed into a groove of the first telescopic rod with the scales, so that the second telescopic rod with the scales is fixed, and the first telescopic rod with the scales and the second telescopic rod with the scales are fixed on a blackboard or paper through two ends of the first telescopic rod with the scales and a first screw rod sucker mechanical foot pad, a second screw rod sucker mechanical foot pad and a third screw rod sucker mechanical foot pad on the right end of the second telescopic rod with the scales; step two: the second telescopic rod with the scales is stretched to a proper length by unscrewing the buckle, and the length of the second telescopic rod with the scales is adjusted to substantially determine the focus position of the parabola and the thickness of the parabola; the small first electric telescopic rod and the small second electric telescopic rod are always equal in length, and the small first electric telescopic rod can rotate on the second telescopic rod with scales through a screw; step three: the chalk or the pencil is placed at the hollow hinged chain to be fixed at the hollow position, the first button and the second button are pressed simultaneously, the small first electric telescopic rod and the small second electric telescopic rod are made to be elongated or shortened by the same length at the same speed, in the process of elongation or shortening, the small second electric telescopic rod can be known by mechanics to slide in the sliding groove of the first telescopic rod with the scales, the small first electric telescopic rod rotates around the screw of the second telescopic rod with the scales, and the chalk or the pencil at the hollow hinged chain can be known by the definition of a parabola to form a track along with the movement of the small first electric telescopic rod and the small second electric telescopic rod.

When drawing a circle, the fourth step: can upwards go out the first telescopic link of taking the scale with small-size second electric telescopic handle, thereby separate small-size second electric telescopic handle and the first telescopic link of taking the scale, adjust the length that needs with small-size first electric telescopic handle, the length of the small-size first electric telescopic handle of essence is just adjusting the radius of circle, the length of the second telescopic link of adjusting the area scale, the essence is in the position of confirming the centre of a circle, it fixes to its hollow department to put into chalk or pencil in hollow articulated chain department, rotate the screw on the small-size first electric telescopic handle round the second telescopic link of taking the scale, can know chalk or the pen of hollow articulated chain department just formed the orbit of circle on blackboard or paper along with small-size first electric telescopic handle's rotation this moment by the definition of circle. Step five: can pull right the second telescopic link level of taking the scale, pull out the universal wheel of the second telescopic link left end of taking the scale from the recess and pull out to spout department, take the first telescopic link of scale this moment alright rotate round the universal wheel to with take the horizontal position of the second telescopic link of scale, pull horizontal position with small-size first electric telescopic handle and small-size second electric telescopic handle simultaneously, the device just contracts to the minimum.

The invention has the advantages that the parabola and the circle with different radiuses can be made according to the definition of the parabola, the forming process of the trajectory of the parabola and the circle can be obtained by students from the angle of curve definition, the device can be contracted to a smaller volume, and the device is simple in structure and convenient to operate.

Drawings

The contents of the drawings and the reference numerals in the drawings are briefly described as follows:

fig. 1 is a schematic structural diagram of a multifunctional mathematical parabola drawing device for senior high schools according to an embodiment of the present invention.

In the figure: 1 is a first telescopic rod with scales; 2 is a chute; 3 is a groove; 4 is a universal wheel; 5 is a second telescopic rod with scales; 6 is a screw; 7 is a small first electric telescopic rod; 8 is a small second electric telescopic rod; 9 is a hollow hinged chain; 10 is a first button; 11 is a second button; 12 is a first screw rod sucker mechanical foot pad; 13 is a second screw rod sucker mechanical foot pad; 14 is a third screw rod sucker mechanical foot pad; and 15 is a buckle.

Detailed Description

The following description of the embodiments with reference to the drawings is provided to describe the embodiments of the present invention, and the embodiments of the present invention, such as the shapes and configurations of the components, the mutual positions and connection relationships of the components, the functions and working principles of the components, the manufacturing processes and the operation and use methods, etc., will be further described in detail to help those skilled in the art to more completely, accurately and deeply understand the inventive concept and technical solutions of the present invention.

A multifunctional parabola drawing device for high school mathematics comprises a first telescopic rod 1 with scales, a chute 2 and a groove 3, wherein a universal wheel 4 is hinged at the left end of a second telescopic rod 5 with scales, and the universal wheel 4 and a small second electric telescopic rod 8 are arranged in the chute 2; the small second electric telescopic rod 8, the small first electric telescopic rod 7 and the second telescopic rod 5 with scales are respectively provided with a first button 10, a second button 11 and a buckle 15, wherein a hollow hinged chain 9 is arranged between the small second electric telescopic rod 8 and the small first electric telescopic rod 7, and screws 6 are arranged on the small first electric telescopic rod 7 and the second telescopic rod 5 with scales; the two ends of the first telescopic rod 1 with the scales and the right end of the second telescopic rod 5 with the scales are respectively provided with a first screw rod sucker machine foot pad 12, a second screw rod sucker machine instrument foot pad 13 and a third screw rod sucker machine instrument foot pad 14.

A use method of a multifunctional parabola drawing device for high school mathematics comprises the following steps: pressing the right end of the second telescopic rod 5 with the scales, pressing a universal wheel 4 of the second telescopic rod 5 with the scales into a groove 3 of the first telescopic rod 1 with the scales, so as to fix the second telescopic rod 5 with the scales, and fixing the first telescopic rod 1 with the scales and the second telescopic rod 5 with the scales on a blackboard or paper through a first screw rod sucker mechanical foot pad 12, a second screw rod sucker mechanical foot pad 13 and a third screw rod sucker mechanical foot pad 14 which are arranged at the two ends of the first telescopic rod 1 with the scales and at the right end of the second telescopic rod 5 with the scales; step two: the second telescopic rod 5 with the scales is stretched to a proper length by unscrewing the buckle 15, and the length of the second telescopic rod 5 with the scales is adjusted to substantially determine the focus position of the parabola and the thickness of the parabola; the small first electric telescopic rod 7 and the small second electric telescopic rod 8 are always equal in length, and the small first electric telescopic rod 7 can rotate on the second telescopic rod 2 with scales through the screw 6; step three: the chalk or the pencil is put in the hollow hinged chain 9 to be fixed in the hollow position, the first button 10 and the second button 11 are pressed at the same time, so that the small first electric telescopic rod 7 and the small second electric telescopic rod 8 are lengthened or shortened by the same length at the same speed, in the process of lengthening or shortening, the small second electric telescopic rod 8 slides in the chute 2 on the first telescopic rod 1 with the scales through mechanics, the small first electric telescopic rod 7 rotates around the screw 6 on the second telescopic rod 5 with the scales, and the chalk or the pencil at the hollow hinged chain 9 forms a track along with the movement of the small first electric telescopic rod 7 and the small second electric telescopic rod 8 at the moment through the definition of a parabola.

When drawing a circle, the fourth step: the small-sized second electric telescopic rod 8 can slide out of the first telescopic rod 1 with the scales upwards, the small-sized second electric telescopic rod 8 is separated from the first telescopic rod 1 with the scales, the small-sized first electric telescopic rod 7 is adjusted to the required length, the length of the small-sized first electric telescopic rod 7 is actually adjusted to be the radius of a circle, the length of the second telescopic rod 5 with the scales is adjusted, the position of the center of the circle is determined, chalk or a pencil is placed at the hollow hinged chain 9 and fixed to the hollow position, the small-sized first electric telescopic rod 7 rotates around the screw 6 on the second telescopic rod 5 with the scales, and the definition of the circle shows that the chalk or the pen at the hollow hinged chain 9 forms a circular track on a blackboard or paper along with the rotation of the small-sized first electric telescopic rod 7. Step five: can pull right the second telescopic link level of taking the scale, pull out the universal wheel 4 of 5 left ends of second telescopic link that will take the scale to spout 2 departments from recess 3, take the first telescopic link 1 of scale this moment alright rotate round universal wheel 4 to with the horizontal position of the second telescopic link 5 of taking the scale, pull to horizontal position with small-size first electric telescopic handle 7 and small-size second electric telescopic handle 8 simultaneously, the device just contracts to the minimum.

The invention can make a parabola and a circle with different radiuses according to the definition of the parabola, is beneficial to enabling students to obtain the trajectory forming process of the parabola and the circle from the angle of curve definition, can be contracted to a smaller volume, and has simple structure and convenient operation.

The invention has been described above with reference to the accompanying drawings, it is obvious that the invention is not limited to the specific implementation in the above-described manner, and it is within the scope of the invention to apply the inventive concept and solution to other applications without substantial modification. The protection scope of the present invention shall be subject to the protection scope defined by the claims.

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