CN107886811B - High-grade mathematics space rectangular coordinate system demonstration device and use method - Google Patents
High-grade mathematics space rectangular coordinate system demonstration device and use method Download PDFInfo
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- CN107886811B CN107886811B CN201711457260.1A CN201711457260A CN107886811B CN 107886811 B CN107886811 B CN 107886811B CN 201711457260 A CN201711457260 A CN 201711457260A CN 107886811 B CN107886811 B CN 107886811B
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- G—PHYSICS
- G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
- G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
- G09B23/00—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
- G09B23/02—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for mathematics
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- G—PHYSICS
- G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
- G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
- G09B23/00—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
- G09B23/02—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for mathematics
- G09B23/04—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for mathematics for geometry, trigonometry, projection or perspective
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Abstract
Provided are a high-grade mathematics space rectangular coordinate system demonstration device and a using method. The invention comprises the following components: the utility model discloses a horizontal pole, the centre of horizontal pole open and to have perpendicular through-hole, perpendicular through-hole bonding erect the magnetic sleeve, perpendicular through-hole in insert perpendicular pole, perpendicular pole open and to have the ring groove, the ring groove bond left half magnetic sleeve and right half magnetic sleeve, left half magnetic sleeve with right half magnetic sleeve equal actuation erect the magnetic sleeve fixed, the centre of horizontal pole open and to have preceding jack and back jack, preceding jack with back jack set up relatively, preceding jack bond preceding magnetic sleeve, back jack bond back magnetic sleeve, preceding magnetic sleeve actuation connect inserted preceding iron set, preceding iron set actuation before round pole fixed connection, back magnetic sleeve actuation connect inserted back iron set, back iron set fixed connection back round pole. The invention is used for demonstrating the rectangular coordinate system of the high-grade mathematics space.
Description
The technical field is as follows:
the invention relates to a high-grade mathematics space rectangular coordinate system demonstration device and a using method thereof.
Background art:
the space rectangular coordinate system is a coordinate system with a three-dimensional space structure, and has no real object demonstration when being explained and used, so that the space rectangular coordinate system is difficult to explain and understand, the three-dimensional sense of the space rectangular coordinate system drawn on a blackboard is not strong, and a lot of students can not understand the space rectangular coordinate system, so that the students can not learn the part of knowledge of the space rectangular coordinate system.
The invention content is as follows:
the invention aims to provide a high-grade mathematical space rectangular coordinate system demonstration device which is convenient to assemble and use and is demonstrated through a real object, and is convenient to explain.
The above purpose is realized by the following technical scheme:
the utility model provides a high grade mathematics space rectangular coordinate system presentation device which constitutes and includes: the utility model discloses a horizontal pole, the centre of horizontal pole open and to have perpendicular through-hole, perpendicular through-hole bonding erect the magnetic sleeve, perpendicular through-hole in insert perpendicular pole, perpendicular pole open and to have the ring groove, the ring groove bond left half magnetic sleeve and right half magnetic sleeve, left half magnetic sleeve with right half magnetic sleeve equal actuation erect the magnetic sleeve fixed, the centre of horizontal pole open and to have preceding jack and back jack, preceding jack with back jack set up relatively, preceding jack bond preceding magnetic sleeve, back jack bond back magnetic sleeve, preceding magnetic sleeve actuation connect inserted preceding iron set, preceding iron set actuation before round pole fixed connection, back magnetic sleeve actuation connect inserted back iron set, back iron set fixed connection back round pole.
High-class mathematics space rectangular coordinate system presentation device, the left side of the centre of abscissa pole be the negative coordinate axis of Y axle, the right side of the centre of abscissa pole be the positive coordinate axis of Y axle, the perpendicular pole the ring groove above part be the positive coordinate axis of Z axle, the perpendicular pole the ring groove below part be the negative coordinate axis of Z axle, preceding iron set be the positive coordinate axis of X axle, back iron set be the negative coordinate axis of X axle.
The device for demonstrating the rectangular coordinate system of the high-grade mathematics space is characterized in that a left embedding groove is formed in the left side of the middle of the transverse round rod and connected with a Y-axis negative coordinatometer, a right embedding groove is formed in the right side of the middle of the transverse round rod and connected with a Y-axis positive coordinatometer; the upper half part of the vertical round rod is provided with an upper embedding groove, the upper embedding groove is connected with a positive coordinatometer of the Z axis, the lower half part of the vertical round rod is provided with a lower embedding groove, and the lower embedding groove is connected with a negative coordinatometer of the Z axis; the utility model discloses a round bar, including preceding round bar, back inlay groove, preceding round bar open and to have preceding groove of inlaying, preceding inlay groove connect the positive coordinatometer of X axle, back inlay the groove and connect the negative coordinatometer of X axle.
High mathematics space rectangular coordinate system presentation device such as height, the preceding and back of horizontal pole open and to have 2 relative slots, the left side and the right side of perpendicular pole open and to have 2 relative slots, preceding pole with the higher authority of back pole open and below have 2 relative slots, the cross section of slot be the U-shaped, one side of slot open and to have a set of side jack, side jack connection curved surface sliding port, the side jack with curved surface sliding port communicate with each other, the opposite side of slot open and to have half mouth shape slot.
According to the high-class mathematics space rectangular coordinate system demonstration device, a quadrant separation plate is inserted into the slot, one side of the bottom of the quadrant separation plate is connected with an elastic insertion rod, and the elastic insertion rod bends and slides into the side slot along the curved surface sliding port to be fixed; the other side of the bottom of the quadrant partition plate is connected with a flat inserting plate, and the flat inserting plate is inserted into the half-mouth-shaped slot to be fixed.
The device for demonstrating the rectangular coordinate system of the high-class mathematics space is characterized in that the outer side depth of the curved surface sliding port is shallow, the inner side depth of the curved surface sliding port is deep, the radian of the inner side arc of the curved surface sliding port is large, the radian of the outer side arc of the curved surface sliding port is small, and the inner side of the curved surface sliding port is connected with the side jacks.
High-class mathematics space rectangular coordinate system presentation device, still include the right angle plug bush, the right angle plug bush horizontal plug bush has and erects the plug bush, horizontal plug bush with erect plug bush mutually perpendicular, 45 connections, horizontal plug bush with one side of perpendicular plug bush junction have a left plane, left plane bonding left magnetic sheet, horizontal plug bush with the opposite side of erecting the plug bush junction have a right plane, right plane bonding right magnetic sheet, left magnetic sheet with the equal actuation magnetism stationary blade of right magnetic sheet, the magnetism stationary blade bond at the tip of drawing pole.
According to the device for demonstrating the rectangular coordinate system of the high-class mathematics space, the end part of the drawing rod is inserted into the transverse insertion sleeve and the vertical insertion sleeve, groove marks are carved on the drawing rod according to a fixed size, and the groove marks can be broken off.
A usage method of a high-grade mathematics space rectangular coordinate system demonstration device comprises the steps that firstly, a coordinatometer with a Y axis, a Z axis and an X axis is fixed, secondly, a vertical round rod is inserted into a vertical through hole, the positions of a vertical magnetic sleeve, a left half magnetic sleeve and a half magnetic sleeve are aligned, sucked and fixed, thirdly, a front round rod is assembled, a front iron rod is inserted into a front jack and sucked and fixed with the front magnetic sleeve, fourthly, a rear round rod is assembled, the rear iron rod is inserted into a rear jack and sucked and fixed with the rear magnetic sleeve, fifthly, a quadrant division plate is assembled, an elastic insertion rod is bent and slides into a side jack along a curved surface sliding opening to be fixed, and a flat insertion plate is inserted into a half-mouth-shaped slot to be fixed; and a sixth step of preparing a drawing rod according to the given size, breaking out a proper length according to the preset size, and a seventh step of corresponding to quadrants of the Y axis, the Z axis and the X axis, and assembling a plane graph or a three-dimensional model on quadrant separation plates by using right-angle plug bushes.
Has the advantages that:
1. the invention can utilize the horizontal round rod and the vertical round rod to form a plane coordinate system, and also can utilize the horizontal round rod, the vertical round rod, the front round rod and the rear round rod to form a space rectangular coordinate system, and the assembly is convenient and flexible.
2. The space rectangular coordinate system formed by the invention has strong three-dimensional sense, can improve the thinking space and the imagination space of users and students, and is beneficial to learning the contents of the high-grade mathematics space rectangular coordinate system.
3. The assembling process of the invention can be embodied, which is beneficial to the experience, study and master of learners.
4. The quadrant division plate can clearly divide the space rectangular coordinate system into 8 quadrants, so that the space rectangular coordinate system can be more conveniently known and mastered, and the specific positions of the 8 quadrants can be more conveniently memorized.
Description of the drawings:
fig. 1 is a schematic structural diagram of the product.
Fig. 2 is a front view of fig. 1.
Fig. 3 is a rear view of fig. 2.
Fig. 4 is a schematic diagram of the overall structure of the product.
Fig. 5 is a schematic view of the right angle insert of fig. 4.
The specific implementation mode is as follows:
example 1:
the utility model provides a high grade mathematics space rectangular coordinate system presentation device which constitutes and includes: horizontal round bar 1, the centre of horizontal round bar open and to have perpendicular through-hole 2, perpendicular through-hole bonding erect magnetic sleeve 3, perpendicular through-hole in insert erect round bar 4, perpendicular round bar open and to have circular groove 5, circular groove bonding left half magnetic sleeve 6 and right half magnetic sleeve 7, left half magnetic sleeve with right half magnetic sleeve all actuation erect the magnetic sleeve fixedly, the centre of horizontal round bar open and to have preceding jack 8 and back jack 9, preceding jack with back jack set up relatively, preceding jack bond preceding magnetic sleeve 10, back jack bond back magnetic sleeve 11, preceding magnetic sleeve actuation connect inserted preceding iron set 12, preceding iron set fixed connection preceding round bar 13, back magnetic sleeve actuation connect inserted back iron set 14, back iron set fixed connection back round bar 15.
The horizontal round rod and the vertical round rod are fixedly connected through the vertical magnetic sleeve, the left half magnetic sleeve and the right half magnetic sleeve in a suction way, so that the assembling is convenient and firm, the position is accurate, and the assembling effect is good; the horizontal round bar and the front round bar are fixedly connected through the front magnetic sleeve and the front iron rod, and the horizontal round bar and the rear round bar are fixedly connected through the rear magnetic sleeve and the rear iron rod, so that the assembly is very convenient, and the connection is also very firm.
Example 2:
the device for demonstrating the rectangular coordinate system of the high-class mathematics space in the embodiment 1, the left side of the middle of the transverse round rod is a negative coordinate axis 16 of a Y axis, the right side of the middle of the transverse round rod is a positive coordinate axis 17 of the Y axis, the part of the vertical round rod above the circular groove is a positive coordinate axis 18 of a Z axis, the part of the vertical round rod below the circular groove is a negative coordinate axis 19 of the Z axis, the front iron rod is a positive coordinate axis 20 of an X axis, and the rear iron rod is a negative coordinate axis 21 of the X axis.
The positions of the negative coordinate axis and the positive coordinate axis of the Y axis, the Z axis and the X axis are clear and clear, and the distinguishing, the learning and the mastering are convenient.
Example 3:
the device for demonstrating the rectangular coordinate system of the higher mathematics in the embodiment 2, the left side of the middle of the transverse round bar is provided with a left embedding groove 22, the left embedding groove is connected with a negative coordinatometer 23 of the Y axis, the right side of the middle of the transverse round bar is provided with a right embedding groove 24, and the right embedding groove is connected with a positive coordinatometer 25 of the Y axis; the upper half part of the vertical round rod is provided with an upper embedding groove 26, the upper embedding groove is connected with a positive coordinatometer 27 of the Z axis, the lower half part of the vertical round rod is provided with a lower embedding groove 28, and the lower embedding groove is connected with a negative coordinatometer 29 of the Z axis; preceding round bar open and to inlay groove 30 before having, preceding inlay the positive coordinatometer 31 of groove connection X axle, back round bar open and to inlay groove 32 after having, the back inlay the negative coordinatometer 33 of groove connection X axle.
The coordinatometer of the Y axis, the Z axis and the X axis is convenient and firm to connect, and the coordinatometer is convenient to manufacture a plane graph and a three-dimensional space model.
Example 4:
Example 5:
the device for demonstrating a rectangular coordinate system of a higher mathematics space as described in embodiment 4, a quadrant separation plate 38 is inserted into the slot, one side of the bottom of the quadrant separation plate is connected with an elastic insertion rod 39, and the elastic insertion rod is bent and slides into the side slot along the curved sliding port to be fixed; the other side of the bottom of the quadrant partition plate is connected with a flat inserting plate 40, and the flat inserting plate is inserted into the half-mouth-shaped slot for fixing.
The quadrant division board assembles the convenience when inserting the slot, inserts side jack, flat picture peg through the elasticity inserted bar and inserts half mouth shape and insert the internal fixation firmly to it is stable, the equipment is also very convenient.
Example 6:
The radian of the outer side arc of the curved surface sliding opening is small, the elastic insertion rod inserted into the side insertion hole can be limited and fixed to a certain extent, force is required to be applied during insertion, the insertion is inconvenient to pull out, and the fixation is firm.
Example 7:
The right angle plug bush has the hookup location of 4 orientations, can provide the hookup location of 4 orientations when the drawing pole is connected to needs, makes the drawing pole can constitute the plane figure, also can assemble into three-dimensional model, and the size of cooperation space rectangular coordinate system is assembled accurately, and the equipment is effectual.
Example 8:
the device for demonstrating a rectangular coordinate system of a higher mathematical space according to embodiment 1, wherein the end of the drawing rod is inserted into the horizontal insertion sleeve and the vertical insertion sleeve, and the drawing rod is engraved with groove marks according to a fixed size, and the groove marks can be broken off. The depth of the groove mark is greater than 1/2 for the diameter of the drawing rod. The groove marks facilitate breaking of the drawing rod according to a certain size, and the planar graph and the three-dimensional model can be assembled conveniently.
Example 9:
a usage method of a high-grade mathematics space rectangular coordinate system demonstration device comprises the steps that firstly, a coordinatometer with a Y axis, a Z axis and an X axis is fixed, secondly, a vertical round rod is inserted into a vertical through hole, the positions of a vertical magnetic sleeve, a left half magnetic sleeve and a half magnetic sleeve are aligned, sucked and fixed, thirdly, a front round rod is assembled, a front iron rod is inserted into a front jack and sucked and fixed with the front magnetic sleeve, fourthly, a rear round rod is assembled, the rear iron rod is inserted into a rear jack and sucked and fixed with the rear magnetic sleeve, fifthly, a quadrant division plate is assembled, an elastic insertion rod is bent and slides into a side jack along a curved surface sliding opening to be fixed, and a flat insertion plate is inserted into a half-mouth-shaped slot to be fixed; and a sixth step of preparing a drawing rod according to the given size, breaking out a proper length according to the preset size, and a seventh step of corresponding to quadrants of the Y axis, the Z axis and the X axis, and assembling a plane graph or a three-dimensional model on quadrant separation plates by using right-angle plug bushes.
Example 10:
Claims (3)
1. The utility model provides a high grade mathematics space rectangular coordinate system presentation device which constitutes and includes: horizontal round bar, characterized by: the middle of the transverse round rod is provided with a vertical through hole, the vertical through hole is adhered with a vertical magnetic sleeve, the vertical round rod is inserted into the vertical through hole, the vertical round rod is provided with a circular groove, the circular groove is adhered with a left half magnetic sleeve and a right half magnetic sleeve, the left half magnetic sleeve and the right half magnetic sleeve are both attracted with the vertical magnetic sleeve and fixed, the middle of the transverse round rod is provided with a front jack and a rear jack, the front jack and the rear jack are oppositely arranged, the front jack is adhered with the front magnetic sleeve, the rear jack is adhered with the rear magnetic sleeve, the front magnetic sleeve is attracted with an inserted front iron rod, the front iron rod is fixedly connected with the front round rod, the rear magnetic sleeve is attracted with an inserted rear iron rod, and the rear iron rod is fixedly connected with the rear round rod; the left side of the middle of the transverse round rod is a negative coordinate axis of a Y axis, the right side of the middle of the transverse round rod is a positive coordinate axis of the Y axis, the part above the circular groove of the vertical round rod is a positive coordinate axis of a Z axis, the part below the circular groove of the vertical round rod is a negative coordinate axis of the Z axis, the front iron rod is a positive coordinate axis of an X axis, and the rear iron rod is a negative coordinate axis of the X axis; the left side of the middle of the transverse round rod is provided with a left embedding groove, the left embedding groove is connected with a Y-axis negative coordinatometer, the right side of the middle of the transverse round rod is provided with a right embedding groove, and the right embedding groove is connected with the Y-axis positive coordinatometer; the upper half part of the vertical round rod is provided with an upper embedding groove, the upper embedding groove is connected with a positive coordinatometer of the Z axis, the lower half part of the vertical round rod is provided with a lower embedding groove, and the lower embedding groove is connected with a negative coordinatometer of the Z axis; the front round rod is provided with a front embedding groove, the front embedding groove is connected with the positive coordinatometer of the X axis, the rear round rod is provided with a rear embedding groove, and the rear embedding groove is connected with the negative coordinatometer of the X axis; the front and the back of the transverse round rod are provided with 2 opposite slots, the left and the right of the vertical round rod are provided with 2 opposite slots, the upper and the lower surfaces of the front round rod and the back round rod are provided with 2 opposite slots, the cross section of each slot is U-shaped, one side of each slot is provided with a group of side jacks, each side jack is connected with a curved surface sliding opening, each side jack is communicated with the curved surface sliding opening, and the other side of each slot is provided with a half-mouth-shaped slot; a quadrant partition plate is inserted into the slot, one side of the bottom of the quadrant partition plate is connected with an elastic inserted rod, and the elastic inserted rod is bent and slides into the side jack along the curved surface sliding port to be fixed; the other side of the bottom of the quadrant partition plate is connected with a flat inserting plate, and the flat inserting plate is inserted into the half-mouth-shaped slot and fixed; the outer side of the curved surface sliding opening is shallow in depth, the inner side of the curved surface sliding opening is deep in depth, the radian of an inner side arc of the curved surface sliding opening is large, the radian of an outer side arc of the curved surface sliding opening is small, and the inner side of the curved surface sliding opening is connected with the side insertion hole; still include the right angle plug bush, the right angle plug bush horizontal plug bush have and erect the plug bush, horizontal plug bush with erect plug bush mutually perpendicular, 45 connections, horizontal plug bush with one side of erecting the plug bush junction have a left plane, left plane bonding left magnetic sheet, horizontal plug bush with the opposite side of erecting the plug bush junction have a right plane, right plane bonding right magnetic sheet, left magnetic sheet with right magnetic sheet equal actuation magnetism stationary blade, the magnetism stationary blade bond at the tip of drawing the pole.
2. The apparatus according to claim 1, wherein the apparatus comprises: the end part of the drawing rod is inserted into the transverse insertion sleeve and the vertical insertion sleeve, groove marks are carved on the drawing rod according to a fixed size, and the groove marks can be broken off.
3. The use method of the high-grade mathematical space rectangular coordinate system demonstration device as claimed in claim 1, wherein: firstly fixing a Y-axis, Z-axis and X-axis coordinatometer, secondly inserting a vertical round rod into a vertical through hole, aligning, sucking and fixing the positions of a vertical magnetic sleeve, a left half magnetic sleeve and a half magnetic sleeve, thirdly assembling a front round rod, inserting a front iron rod into a front jack, sucking and fixing the front magnetic sleeve, fourthly assembling a rear round rod, inserting a rear iron rod into a rear jack, sucking and fixing the rear magnetic sleeve, fifthly assembling a quadrant division plate, bending an elastic insertion rod, sliding the elastic insertion rod into a side jack along a curved surface sliding opening, and fixing a flat insertion plate inserted into a half-mouth-shaped slot; and a sixth step of preparing a drawing rod according to the given size, breaking out a proper length according to the preset size, and a seventh step of corresponding to quadrants of the Y axis, the Z axis and the X axis, and assembling a plane graph or a three-dimensional model on quadrant separation plates by using right-angle plug bushes.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201711457260.1A CN107886811B (en) | 2017-12-20 | 2017-12-20 | High-grade mathematics space rectangular coordinate system demonstration device and use method |
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201711457260.1A CN107886811B (en) | 2017-12-20 | 2017-12-20 | High-grade mathematics space rectangular coordinate system demonstration device and use method |
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| Publication Number | Publication Date |
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| CN107886811A CN107886811A (en) | 2018-04-06 |
| CN107886811B true CN107886811B (en) | 2020-07-07 |
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| CN201711457260.1A Expired - Fee Related CN107886811B (en) | 2017-12-20 | 2017-12-20 | High-grade mathematics space rectangular coordinate system demonstration device and use method |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN109908414A (en) * | 2019-04-24 | 2019-06-21 | 周金铠 | A kind of dedicated Minitype negative pressure adjustable drainage device of micro- hand and foot surgery and application method |
| CN110977946A (en) * | 2019-12-12 | 2020-04-10 | 常州工学院 | Terminal coordinate ball for robot teaching |
Family Cites Families (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| DE60137204D1 (en) * | 2001-06-17 | 2009-02-12 | Abdulhaleem Deeb | Device for demonstrating trigonometric functions and displaying their graphs |
| CN201556322U (en) * | 2009-12-25 | 2010-08-18 | 王晖 | Quadric surface demonstration teaching aid |
| CN203511078U (en) * | 2013-10-25 | 2014-04-02 | 黑龙江建筑职业技术学院 | Drawing device for advanced mathematics |
| CN204406801U (en) * | 2015-01-29 | 2015-06-17 | 夏玲 | A kind of space vector teaching mould |
| CN205845363U (en) * | 2016-04-22 | 2016-12-28 | 西安科技大学 | A kind of intelligent mathematical resolves showing stand with an applied mathematics difficult problem |
| CN206312454U (en) * | 2016-08-12 | 2017-07-07 | 彭佳音 | Solid geometry teaching mould |
| CN206379067U (en) * | 2016-08-29 | 2017-08-04 | 凌思兰 | A kind of mathematical education coordinate system space apparatus for demonstrating |
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