CN206331686U - A kind of College Maths parabola teaching demonstrating model - Google Patents

A kind of College Maths parabola teaching demonstrating model Download PDF

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CN206331686U
CN206331686U CN201621382542.0U CN201621382542U CN206331686U CN 206331686 U CN206331686 U CN 206331686U CN 201621382542 U CN201621382542 U CN 201621382542U CN 206331686 U CN206331686 U CN 206331686U
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steel wire
mounting seat
horizontal plate
cross bar
memory metal
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曹明
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Shaanxi Xueqian Normal University
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Shaanxi Xueqian Normal University
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Abstract

本实用新型公开了一种大学数学抛物面教学用演示模型,包括支撑横板,所述支撑横板的中间通过轴承转动设置有转杆,支撑横板的底部外圈设有多个支撑腿,支撑横板的下侧于转杆下端设有转盘,转盘的下侧外圈转动设有手柄,支撑横板的上侧于转杆上端设有伸缩杆,伸缩杆的上端设有安装座,安装座的左右两侧套管固定槽上固定安装有套管,套管内配合滑动设有横杆,横杆的端部设有上开口的卡槽,记忆金属条的两端对应安装于两个横杆的卡槽内,安装座的上部内侧设有钢丝通道。本实用新型使用方便,既可以用传统的钢丝进行演示,又可以采用记忆金属条进行更精确的演示,功能丰富,便于推广应用。

The utility model discloses a demonstration model for university mathematics parabola teaching, which comprises a supporting horizontal plate, a rotating rod is arranged in the middle of the supporting horizontal plate through bearing rotation, and a plurality of supporting legs are arranged on the outer ring of the bottom of the supporting horizontal plate to support the horizontal plate. The lower side of the horizontal plate is provided with a turntable at the lower end of the rotating rod, the outer ring of the lower side of the rotating disk is rotated with a handle, the upper side of the supporting horizontal plate is provided with a telescopic rod at the upper end of the rotating rod, and the upper end of the telescopic rod is provided with a mounting seat. Sleeves are fixedly installed on the sleeve fixing grooves on the left and right sides of the sleeve, and a horizontal bar is provided for sliding in the sleeve. The end of the horizontal bar is provided with a card slot with an upper opening, and the two ends of the memory metal strip are correspondingly installed on the two horizontal bars. Inside the upper part of the installation base, there is a steel wire channel in the card slot. The utility model is easy to use, can use traditional steel wires for demonstration, and can use memory metal strips for more accurate demonstration, has rich functions, and is convenient for popularization and application.

Description

一种大学数学抛物面教学用演示模型A Demonstration Model for Paraboloid Teaching in College Mathematics

技术领域technical field

本实用新型涉及一种教学辅助装置,具体是一种大学数学抛物面教学用演示模型。The utility model relates to a teaching auxiliary device, in particular to a demonstration model for university mathematics parabola teaching.

背景技术Background technique

通常认为,高等数学是由微积分学,较深入的代数学、几何学以及它们之间的交叉内容所形成的一门基础学科。大学数学教学中包括抛物面等特殊曲面,抛物面在车灯、手电筒等照明器具以及雷达中应用得非常多,他们的反光面或者反射面都是抛物面,抛物线以其对称轴为轴线旋转180°所得到的面就是抛物面。It is generally believed that advanced mathematics is a basic subject formed by calculus, more in-depth algebra, geometry and the intersecting content between them. University mathematics teaching includes special curved surfaces such as paraboloids. Paraboloids are widely used in lighting appliances such as car lights, flashlights, and radars. Their reflective surfaces or reflective surfaces are all paraboloids. The parabola is obtained by rotating 180° with its axis of symmetry as the axis. The surface of is a paraboloid.

目前的数学教学中没有演示抛物面形成的教具,教师只能通过抽象的概念讲解完成抛物面的教学,或是利用传统的钢丝转动进行抛物面简单演示,不利于学生对抛物面的理解,且给教学带来不便。There are no teaching aids to demonstrate the formation of paraboloids in the current mathematics teaching. Teachers can only complete the teaching of paraboloids through abstract concept explanations, or use traditional steel wire rotation for simple demonstrations of paraboloids, which is not conducive to students' understanding of paraboloids. inconvenient.

实用新型内容Utility model content

本实用新型的目的在于提供一种大学数学抛物面教学用演示模型,以解决上述背景技术中提出的问题。The purpose of this utility model is to provide a demonstration model for university mathematics paraboloid teaching, to solve the problems raised in the above-mentioned background technology.

为实现上述目的,本实用新型提供如下技术方案:In order to achieve the above object, the utility model provides the following technical solutions:

一种大学数学抛物面教学用演示模型,包括支撑腿、支撑横板、伸缩杆、横杆、套管、记忆金属条和安装座,所述支撑横板的中间通过轴承转动设置有转杆,支撑横板的顶部还设有储物盒,所述支撑横板的底部外圈设有多个支撑腿,所述支撑横板的下侧于转杆下端设有转盘,转盘的下侧外圈转动设有手柄,所述支撑横板的上侧于转杆上端设有伸缩杆,伸缩杆上设有用于对伸缩杆进行长度调节锁定的调节旋钮,所述伸缩杆的上端设有安装座,所述安装座的左右两侧均设有套管固定槽,套管固定槽上固定安装有套管,所述套管内配合滑动设有横杆,套管上还设有用于对横杆进行调节锁定的第二锁紧螺栓,所述横杆的端部设有上开口的卡槽,记忆金属条的两端对应安装于两个横杆的卡槽内,两个横杆的端部还设有用于对记忆金属条进行锁定的第一锁紧螺栓,所述安装座的上部内侧设有钢丝通道,钢丝通道的两端均延伸至安装座的上端面且与外界连通,所述钢丝通道用于钢丝穿过,安装座的顶部还设有用于对钢丝通道内钢丝进行固定的第三锁紧螺栓。A demonstration model for university mathematics paraboloid teaching, including supporting legs, supporting horizontal plates, telescopic rods, horizontal bars, sleeves, memory metal strips and mounting seats, the middle of the supporting horizontal plates is provided with a rotating rod through bearing rotation, and supports The top of the horizontal plate is also provided with a storage box, the bottom outer ring of the supporting horizontal plate is provided with a plurality of supporting legs, the lower side of the supporting horizontal plate is provided with a turntable at the lower end of the rotating rod, and the lower outer ring of the turntable rotates A handle is provided, and the upper side of the supporting horizontal plate is provided with a telescopic rod at the upper end of the rotating rod, and the telescopic rod is provided with an adjustment knob for adjusting and locking the length of the telescopic rod, and the upper end of the telescopic rod is provided with a mounting seat, so The left and right sides of the mounting seat are provided with sleeve fixing grooves, and sleeves are fixedly installed on the sleeve fixing grooves. A cross bar is provided for sliding in the sleeve, and a sleeve is also provided on the sleeve for adjusting and locking the cross bar. The second locking bolt, the end of the cross bar is provided with an upper opening slot, the two ends of the memory metal strip are correspondingly installed in the slots of the two cross bars, and the ends of the two cross bars are also provided with For the first locking bolt that locks the memory metal strip, a steel wire channel is provided on the inner side of the upper part of the mounting seat, and both ends of the steel wire channel extend to the upper end surface of the mounting seat and communicate with the outside world. The steel wire channel is used for The steel wire passes through, and the top of the mounting seat is also provided with a third locking bolt for fixing the steel wire in the steel wire channel.

作为优选,所述支撑腿的下端向外侧倾斜。Preferably, the lower ends of the supporting legs are inclined to the outside.

作为优选,所述横杆上还设有刻度。Preferably, scales are also provided on the cross bar.

作为优选,所述钢丝通道为中部向下凹陷的弧形结构。Preferably, the steel wire channel is an arc-shaped structure with a downwardly recessed middle.

作为优选,所述手柄、调节旋钮、第一锁紧螺栓、第二锁紧螺栓和第三锁紧螺栓的表面均设有防滑纹。Preferably, the surfaces of the handle, the adjusting knob, the first locking bolt, the second locking bolt and the third locking bolt are all provided with anti-skid lines.

与现有技术相比,本实用新型的有益效果是:通过调节旋钮可对伸缩杆的伸长长度进行调节,以便于调节演示的高度;可通过将钢丝从钢丝通道穿过,并通过第三锁紧螺栓对钢丝进行固定,后手持手柄进行转动,进行抛物面演示;也可通过将记忆金属条的两端插放于卡槽内,并通过第一锁紧螺栓对记忆金属条进行固定,通过对两个横杆进行拉动,可改变记忆金属条的弧度,可进行更精准的抛物面演示,通过第二锁紧螺栓可对横杆进行锁定,通过横杆上的刻度便于对其伸长长度进行观察;通过支撑横板顶部的储物盒还用于钢丝等物品的储放。Compared with the prior art, the utility model has the beneficial effects that: the extension length of the telescopic rod can be adjusted by adjusting the knob, so as to adjust the height of the demonstration; the steel wire can be passed through the steel wire passage, and the third The locking bolt fixes the steel wire, and then rotates the handle with the hand to perform a parabolic demonstration; it is also possible to insert the two ends of the memory metal strip into the card slot and fix the memory metal strip through the first locking bolt. Pulling the two crossbars can change the radian of the memory metal strip, allowing for a more accurate demonstration of the parabola. The crossbar can be locked by the second locking bolt, and the scale on the crossbar is convenient for checking its extension length. Observe; the storage box on the top of the supporting horizontal plate is also used for storage of items such as steel wires.

该抛物面演示教具使用方便,既可以用传统的钢丝进行演示,又可以采用记忆金属条进行更精确的演示,功能丰富,便于推广应用。The parabolic demonstration teaching aid is easy to use, can be demonstrated with traditional steel wires, and can be more accurately demonstrated with memory metal strips, has rich functions, and is convenient for popularization and application.

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为本实用新型的局部剖视图。Fig. 2 is a partial sectional view of the utility model.

图中:1-支撑腿,2-转盘,3-手柄,4-支撑横板,5-储物盒,6-转杆,7-伸缩杆,8-调节旋钮,9-横杆,91-卡槽,10-第一锁紧螺栓,11-记忆金属条,12-第二锁紧螺栓,13-套管,14-第三锁紧螺栓,15-安装座,151-套管固定槽,152-钢丝通道。In the figure: 1-supporting leg, 2-turntable, 3-handle, 4-supporting horizontal plate, 5-storage box, 6-rotating rod, 7-telescopic rod, 8-adjusting knob, 9-horizontal bar, 91- Card slot, 10-first locking bolt, 11-memory metal strip, 12-second locking bolt, 13-sleeve, 14-third locking bolt, 15-mounting seat, 151-sleeve fixing groove, 152 - wire channel.

具体实施方式detailed description

下面将结合本实用新型实施例中的附图,对本实用新型实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本实用新型一部分实施例,而不是全部的实施例。基于本实用新型中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本实用新型保护的范围。The technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of them. example. Based on the embodiments of the present utility model, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the scope of protection of the present utility model.

请参阅图1~2,本实用新型实施例中,一种大学数学抛物面教学用演示模型,包括支撑腿1、支撑横板4、伸缩杆7、横杆9、套管13、记忆金属条11和安装座15,所述支撑横板4的中间通过轴承转动设置有转杆6,支撑横板4的顶部还设有储物盒5,储物盒5内盛放有抛物面演示用钢丝,所述支撑横板4的底部外圈设有多个支撑腿1,通过支撑腿1可对支撑横板4进行支撑,所述支撑横板4的下侧于转杆6下端设有转盘2,转盘2的下侧外圈转动设有手柄3,通过手柄3可对转盘2进行转动,进而对转杆6进行转动,所述支撑横板4的上侧于转杆6上端设有伸缩杆7,伸缩杆7上设有用于对伸缩杆7进行长度调节锁定的调节旋钮8,所述伸缩杆7的上端设有安装座15,所述安装座15的左右两侧均设有套管固定槽151,套管固定槽151上固定安装有套管13,所述套管13内配合滑动设有横杆9,套管13上还设有用于对横杆9进行调节锁定的第二锁紧螺栓12,所述横杆9的端部设有上开口的卡槽91,记忆金属条11的两端对应安装于两个横杆9的卡槽91内,两个横杆9的端部还设有用于对记忆金属条11进行锁定的第一锁紧螺栓10,记忆金属条11为形状记忆合金,记忆金属条11的具体材料可供选择较多,不进行限定,所述安装座15的上部内侧设有钢丝通道152,钢丝通道152的两端均延伸至安装座15的上端面且与外界连通,所述钢丝通道152用于钢丝穿过,安装座15的顶部还设有用于对钢丝通道152内钢丝进行固定的第三锁紧螺栓14。Please refer to Fig. 1-2, in the utility model embodiment, a kind of university mathematics paraboloid teaching demonstration model comprises support leg 1, support horizontal board 4, telescopic rod 7, cross bar 9, sleeve pipe 13, memory metal bar 11 And mounting base 15, the center of described support horizontal plate 4 is provided with rotating rod 6 through bearing rotation, and the top of support horizontal plate 4 is also provided with storage box 5, is filled with parabolic demonstration steel wire in storage box 5, so The bottom outer ring of the support horizontal plate 4 is provided with a plurality of support legs 1, the support horizontal plate 4 can be supported by the support legs 1, the lower side of the support horizontal plate 4 is provided with a turntable 2 at the lower end of the rotating rod 6, and the turntable 2 is provided with a handle 3 for rotating the lower outer ring, through which the turntable 2 can be rotated, and then the rotating rod 6 can be rotated. The upper side of the supporting horizontal plate 4 is provided with a telescopic rod 7 at the upper end of the rotating rod 6, The telescopic rod 7 is provided with an adjustment knob 8 for adjusting and locking the telescopic rod 7, the upper end of the telescopic rod 7 is provided with a mount 15, and the left and right sides of the mount 15 are provided with casing fixing grooves 151 , the sleeve 13 is fixedly installed on the sleeve fixing groove 151, and the cross bar 9 is cooperating and sliding inside the sleeve 13, and the second locking bolt 12 for adjusting and locking the cross bar 9 is also provided on the sleeve 13 , the end of the crossbar 9 is provided with an upper opening slot 91, and the two ends of the memory metal strip 11 are correspondingly installed in the slot 91 of the two crossbars 9, and the ends of the two crossbars 9 are also provided with For the first locking bolt 10 that locks the memory metal strip 11, the memory metal strip 11 is a shape memory alloy, and there are many specific materials for the memory metal strip 11 to choose from, without limitation, the upper inner side of the mounting seat 15 A steel wire passage 152 is provided, and both ends of the steel wire passage 152 extend to the upper end surface of the mounting base 15 and communicate with the outside world. The steel wire passage 152 is used for steel wires to pass through. The third locking bolt 14 that the inner steel wire is fixed.

作为优选,所述支撑腿1的下端向外侧倾斜。Preferably, the lower ends of the supporting legs 1 are inclined to the outside.

作为优选,所述横杆9上还设有刻度。Preferably, a scale is also provided on the cross bar 9 .

作为优选,所述钢丝通道152为中部向下凹陷的弧形结构。Preferably, the steel wire channel 152 is an arc-shaped structure with a downwardly recessed middle.

作为优选,所述手柄3、调节旋钮8、第一锁紧螺栓10、第二锁紧螺栓12和第三锁紧螺栓14的表面均设有防滑纹,以便于对手柄3、调节旋钮8、第一锁紧螺栓10、第二锁紧螺栓12和第三锁紧螺栓14进行转动。As a preference, the surfaces of the handle 3, the adjusting knob 8, the first locking bolt 10, the second locking bolt 12 and the third locking bolt 14 are all provided with anti-slip lines, so that the handle 3, the adjusting knob 8, The first locking bolt 10 , the second locking bolt 12 and the third locking bolt 14 are rotated.

该抛物面演示教具在使用时,通过调节旋钮8可对伸缩杆7的伸长长度进行调节,以便于调节演示的高度;可通过将钢丝从钢丝通道152穿过,并通过第三锁紧螺栓14对钢丝进行固定,后手持手柄3进行转动,进行抛物面演示;也可通过将记忆金属条11的两端插放于卡槽91内,并通过第一锁紧螺栓10对记忆金属条11进行固定,通过对两个横杆9进行拉动,可改变记忆金属条11的弧度,可进行更精准的抛物面演示,通过第二锁紧螺栓12可对横杆9进行锁定,通过横杆9上的刻度便于对其伸长长度进行观察;此外,通过支撑横板4顶部的储物盒5还用于钢丝等物品的储放。When the parabolic demonstration teaching aid is in use, the extension length of the telescopic rod 7 can be adjusted through the adjustment knob 8, so as to adjust the height of the demonstration; the steel wire can be passed through the steel wire channel 152 and passed through the third locking bolt 14 Fix the steel wire, then hold the handle 3 and rotate it to demonstrate the parabolic surface; it is also possible to insert the two ends of the memory metal strip 11 into the card slot 91, and fix the memory metal strip 11 through the first locking bolt 10 , by pulling the two crossbars 9, the radian of the memory metal strip 11 can be changed, and a more accurate parabolic demonstration can be performed. The crossbar 9 can be locked by the second locking bolt 12, and the scale on the crossbar 9 It is convenient to observe its elongation length; in addition, the storage box 5 on the top of the support horizontal plate 4 is also used for storing items such as steel wires.

以上的仅是本实用新型的优选实施方式,应当指出,对于本领域的技术人员来说,在不脱离本实用新型构思的前提下,还可以作出若干变形和改进,这些也应该视为本实用新型的保护范围,这些都不会影响本实用新型实施的效果和专利的实用性。The above are only preferred embodiments of the present utility model, and it should be pointed out that for those skilled in the art, some deformations and improvements can be made without departing from the concept of the present utility model, and these should also be regarded as the present utility model. The scope of protection of the new model will not affect the effect of the utility model and the practicability of the patent.

Claims (5)

1. a kind of College Maths parabola teaching demonstrating model, including supporting leg, support transverse slat, expansion link, cross bar, sleeve pipe, Memory metal bar and mounting seat, it is characterised in that the centre of the support transverse slat is rotated by bearing and is provided with bull stick, support is horizontal Parcel tray is additionally provided with the top of plate, the bottom outer ring of the support transverse slat is provided with multiple supporting legs, the downside of the support transverse slat Rotating disk is provided with bull stick lower end, the downside outer ring rotating of rotating disk is provided with handle, and the upside of the support transverse slat is set in bull stick upper end There is expansion link, expansion link is provided with the adjusting knob for being used for that length adjustment locking to be carried out to expansion link, the upper end of the expansion link Provided with mounting seat, the left and right sides of the mounting seat, which is equipped with sleeve pipe fixing groove, sleeve pipe fixing groove, is installed with sleeve pipe, institute State the second clamping screw for coordinating in sleeve pipe and sliding and being provided with and be additionally provided with cross bar, sleeve pipe for cross bar being adjusted locking, institute The end for stating cross bar is provided with the neck of upper shed, and the two ends correspondence of memory metal bar is installed in the neck of two cross bars, two The end of cross bar is additionally provided with for entering line-locked first clamping screw to memory metal bar, and the upper inner of the mounting seat is set There is steel wire passage, the two ends of steel wire passage all extend to the upper surface of mounting seat and are in communication with the outside, and the steel wire passage is used for Steel wire is passed through, and the 3rd clamping screw for steel wire in steel wire passage to be fixed is additionally provided with the top of mounting seat.
2. College Maths parabola teaching demonstrating model according to claim 1, it is characterised in that the supporting leg Lower end is tilted laterally.
3. College Maths parabola teaching demonstrating model according to claim 1, it is characterised in that on the cross bar also Provided with scale.
4. College Maths parabola teaching demonstrating model according to claim 1, it is characterised in that the steel wire passage For arcuate structure from middle part to lower recess.
5. College Maths parabola teaching demonstrating model according to claim 1, it is characterised in that the handle, tune The surface for saving knob, the first clamping screw, the second clamping screw and the 3rd clamping screw is equipped with anti-slip veins.
CN201621382542.0U 2016-12-16 2016-12-16 A kind of College Maths parabola teaching demonstrating model Expired - Fee Related CN206331686U (en)

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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111798724A (en) * 2020-07-17 2020-10-20 韩翔凌 Paraboloid demonstration teaching aid for college mathematics teaching
CN115614620A (en) * 2022-10-21 2023-01-17 内蒙古呼和浩特抽水蓄能发电有限责任公司 A monitor device that can be adjusted in multiple directions

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111798724A (en) * 2020-07-17 2020-10-20 韩翔凌 Paraboloid demonstration teaching aid for college mathematics teaching
CN115614620A (en) * 2022-10-21 2023-01-17 内蒙古呼和浩特抽水蓄能发电有限责任公司 A monitor device that can be adjusted in multiple directions

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