CN202771684U - Polar coordinate demonstration frame for advanced mathematics - Google Patents

Polar coordinate demonstration frame for advanced mathematics Download PDF

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Publication number
CN202771684U
CN202771684U CN 201220518044 CN201220518044U CN202771684U CN 202771684 U CN202771684 U CN 202771684U CN 201220518044 CN201220518044 CN 201220518044 CN 201220518044 U CN201220518044 U CN 201220518044U CN 202771684 U CN202771684 U CN 202771684U
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CN
China
Prior art keywords
template
cardioid
board
polar coordinate
polar coordinates
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Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired - Fee Related
Application number
CN 201220518044
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Chinese (zh)
Inventor
杨丽
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Harbin Finance University
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Harbin Finance University
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Filing date
Publication date
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Priority to CN 201220518044 priority Critical patent/CN202771684U/en
Application granted granted Critical
Publication of CN202771684U publication Critical patent/CN202771684U/en
Anticipated expiration legal-status Critical
Expired - Fee Related legal-status Critical Current

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Abstract

The utility model relates to a polar coordinate demonstration frame for advanced mathematics. The polar coordinate demonstration frame aims to solve the problems that a special polar coordinate system teaching aid is absent at present, a curve drawn by a teacher in a polar coordinate system is nonstandard, and inconvenience is brought for the teacher. A plurality of telescopic support rods are arranged side by side between a first beam and a second beam, a plurality of hooks are fixedly mounted on the upper end face of the first beam, a coordinate board placement opening is arranged on the side face of a shell, a demonstration opening is arranged on the front end face of the shell, the shell and a base are sequentially and fixedly connected to the lower end of the second beam from top to bottom, a plastic board is a transparent smooth coordinate board, the plastic board, a polar coordinate board, an Archimedes spiral coordinate board and a cardioid coordinate board are sequentially arranged in the shell from front to back, polar coordinate patterns are printed on the polar coordinate board, Archimedes spiral pits are arranged on the Archimedes spiral coordinate board, and a cardioid pit is arranged on the cardioid coordinate board. The polar coordinate demonstration frame is used for advanced mathematics teaching.

Description

A kind of polar coordinates demo rack for higher mathematics
Technical field
The utility model relates to a kind of polar coordinates demo rack, is specifically related to a kind of polar coordinates demo rack for higher mathematics, belongs to the teaching aid field.
Background technology
Planar get a fixed point O, be limit, draw a ray Ox, be called pole axis, again the positive dirction of a selected long measure and angle.For any point M in the plane, represent the length of line segment OM with ρ, θ represents the angle from Ox to OM, ρ is called the utmost point footpath of a M, and θ is called the polar angle of a M, ordinal number is arranged to (ρ, θ) just be the polar coordinates of some M, the coordinate system of setting up like this is called polar coordinate system.Polar coordinate system is important instrument in the higher mathematics, its energy and rectangular coordinate system are changed mutually, can utilize polar coordinate system to calculate double integral in the higher mathematics, calculate spiral of Archimedes etc., owing to also there not being special-purpose polar coordinate system teaching aid at present, and the teacher is not up to standard during curve plotting under polar coordinate system, has brought inconvenience to the teacher.
The utility model content
The purpose of this utility model is not have at present special-purpose polar coordinate system teaching aid in order to solve, and the teacher is not up to standard during curve plotting under polar coordinate system, has brought inconvenient problem to the teacher, and then a kind of polar coordinates demo rack for higher mathematics is provided.
The technical solution of the utility model is: a kind of polar coordinates demo rack for higher mathematics comprises a plurality of hooks, first crossbeam, second cross beam and a plurality of telescopic support struts, a plurality of telescopic support struts are set up in parallel between first crossbeam and second cross beam, a plurality of hooks are packed on the upper surface of first crossbeam, described polar coordinates demo rack also comprises housing, plastic plate, the polar coordinates plate, the spiral of Archimedes template, cardioid template and base, the side of housing has template and places mouth, have the demonstration mouth on the front end face of housing, housing and base are fixed in the lower end of second cross beam from top to bottom successively, plastic plate is hyaline smooth template, plastic plate, the polar coordinates plate, spiral of Archimedes template and cardioid template are successively set in the housing from front to back, be printed on polar pattern on the polar coordinates plate, the spiral of Archimedes template is provided with the spiral of Archimedes pit, and the cardioid template is provided with the cardioid pit.
Described polar coordinates demo rack also comprises a plurality of drawing handles, is respectively equipped with a drawing handle on the side end face of polar coordinates plate, spiral of Archimedes template and cardioid template.
The utility model compared with prior art has following effect: 1. the utility model is provided with hook and base, during demonstration, both can be hooked on the blackboard and demonstrate, and can also be placed on the dais and demonstrate, and uses flexible, convenient.2. the utility model is adjusted demo rack by telescopic support struts and is hooked on lengthwise position on the blackboard, can not hide the important writing on the blackboard that the teacher write, and also can not affect the teacher simultaneously and normally write writing on the blackboard.3. be equipped with pit on the utility model spiral of Archimedes template and the cardioid template, the teacher is when curve plotting, and nib can be drawn along the pit track of transparent smooth template back, is convenient to the curve of teacher's drawing standard.4. the utility model is provided with curvilinear coordinates plate commonly used in the higher mathematics, and is simple in structure, is easy to realize.
Description of drawings
Fig. 1 is one-piece construction schematic diagram of the present utility model; Fig. 2 is side view of the present utility model.
Embodiment
Embodiment one: present embodiment is described in conjunction with Fig. 1 and Fig. 2, present embodiment comprises a plurality of hooks 1, first crossbeam 2, second cross beam 3 and a plurality of telescopic support struts 4, a plurality of telescopic support struts 4 are set up in parallel between first crossbeam 2 and second cross beam 3, a plurality of hooks 1 are packed on the upper surface of first crossbeam 2, described polar coordinates demo rack also comprises housing 5, plastic plate 6, polar coordinates plate 7, spiral of Archimedes template 8, cardioid template 9 and base 10, the side of housing 5 has template and places mouth 11, have demonstration mouth 12 on the front end face of housing 5, housing 5 and base 10 are fixed in the lower end of second cross beam 3 from top to bottom successively, plastic plate 6 is hyaline smooth template, plastic plate 6, polar coordinates plate 7, spiral of Archimedes template 8 and cardioid template 9 are successively set in the housing 5 from front to back, be printed on polar pattern on the polar coordinates plate 7, spiral of Archimedes template 8 is provided with the spiral of Archimedes pit, and cardioid template 9 is provided with the cardioid pit.
The polar coordinates demo rack of present embodiment also comprises a plurality of drawing handles 13, is respectively equipped with a drawing handle 13 on the side end face of polar coordinates plate 7, spiral of Archimedes template 8 and cardioid template 9.So arrange, be convenient to the teacher and select suitable template according to the needs of giving lessons.
The utility model in use, the teacher can be according to the scale mark on the template, the curve map of drawing standard, when relating to drafting spiral of Archimedes and cardioid part, as long as required template is changed order by drawing handle, track along spiral of Archimedes or cardioid is described, and can be repeatedly used.

Claims (2)

1. polar coordinates demo rack that is used for higher mathematics, it comprises a plurality of hooks (1), first crossbeam (2), second cross beam (3) and a plurality of telescopic support struts (4), a plurality of telescopic support struts (4) are set up in parallel between first crossbeam (2) and second cross beam (3), a plurality of hooks (1) are packed on the upper surface of first crossbeam (2), it is characterized in that: described polar coordinates demo rack also comprises housing (5), plastic plate (6), polar coordinates plate (7), spiral of Archimedes template (8), cardioid template (9) and base (10), the side of housing (5) has template and places mouthful (11), have demonstration mouthful (12) on the front end face of housing (5), housing (5) and base (10) are fixed in the lower end of second cross beam (3) from top to bottom successively, plastic plate (6) is hyaline smooth template, plastic plate (6), polar coordinates plate (7), spiral of Archimedes template (8) and cardioid template (9) are successively set in the housing (5) from front to back, the polar coordinates plate is printed on polar pattern on (7), spiral of Archimedes template (8) is provided with the spiral of Archimedes pit, and cardioid template (9) is provided with the cardioid pit.
2. a kind of polar coordinates demo rack for higher mathematics according to claim 1, it is characterized in that: described polar coordinates demo rack also comprises a plurality of drawing handles (13), is respectively equipped with a drawing handle (13) on the side end face of polar coordinates plate (7), spiral of Archimedes template (8) and cardioid template (9).
CN 201220518044 2012-10-11 2012-10-11 Polar coordinate demonstration frame for advanced mathematics Expired - Fee Related CN202771684U (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN 201220518044 CN202771684U (en) 2012-10-11 2012-10-11 Polar coordinate demonstration frame for advanced mathematics

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN 201220518044 CN202771684U (en) 2012-10-11 2012-10-11 Polar coordinate demonstration frame for advanced mathematics

Publications (1)

Publication Number Publication Date
CN202771684U true CN202771684U (en) 2013-03-06

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Family Applications (1)

Application Number Title Priority Date Filing Date
CN 201220518044 Expired - Fee Related CN202771684U (en) 2012-10-11 2012-10-11 Polar coordinate demonstration frame for advanced mathematics

Country Status (1)

Country Link
CN (1) CN202771684U (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2021139839A3 (en) * 2021-04-09 2022-02-24 郑州航空工业管理学院 Demonstration system for high-level mathematical parametric equations and polar coordinates equations

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2021139839A3 (en) * 2021-04-09 2022-02-24 郑州航空工业管理学院 Demonstration system for high-level mathematical parametric equations and polar coordinates equations

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C14 Grant of patent or utility model
GR01 Patent grant
CF01 Termination of patent right due to non-payment of annual fee
CF01 Termination of patent right due to non-payment of annual fee

Granted publication date: 20130306

Termination date: 20171011