CN107886811A - Higher mathematics rectangular coordinate system in space apparatus for demonstrating and application method - Google Patents
Higher mathematics rectangular coordinate system in space apparatus for demonstrating and application method Download PDFInfo
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- CN107886811A CN107886811A CN201711457260.1A CN201711457260A CN107886811A CN 107886811 A CN107886811 A CN 107886811A CN 201711457260 A CN201711457260 A CN 201711457260A CN 107886811 A CN107886811 A CN 107886811A
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- G—PHYSICS
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- 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
Higher mathematics rectangular coordinate system in space apparatus for demonstrating and application method.Its composition of the invention includes:Horizontal round bar, the centre of described horizontal round bar is provided with perpendicular through hole, the described perpendicular magnetosheath of perpendicular through hole bonding, the perpendicular round bar of insertion in described perpendicular through hole, described perpendicular round bar is provided with annular groove, described left half magnetosheath of annular groove bonding and right half magnetosheath, the described magnetosheath of a left side half erects magnetosheath with the described equal adhesive of the magnetosheath of the right side half and fixed, the centre of described horizontal round bar is provided with front jack and rear jack, described front jack is oppositely arranged with described rear jack, magnetosheath before described front jack bonding, magnetosheath after described rear jack bonding, the preceding iron of described preceding magnetosheath adhesive connection insertion, described preceding iron is fixedly connected with front round rod, the rear iron of described rear magnetosheath adhesive connection insertion, described rear iron is fixedly connected with rear round bar.The present invention is used for higher mathematics rectangular coordinate system in space and demonstrated.
Description
Technical field:
The present invention relates to a kind of higher mathematics rectangular coordinate system in space apparatus for demonstrating and application method.
Background technology:
Rectangular coordinate system in space is the coordinate system for having three-D space structure, explained and using when drill without material object
Show, it is difficult to which the third dimension for explaining clear, to be drawn on blackboard rectangular coordinate system in space is not strong, has many students and understand not
, and then can not learn rectangular coordinate system in space this partial knowledge.
The content of the invention:
It is straight by visual illustration, convenient explanation, higher mathematics space easy to assembly it is an object of the invention to provide one kind
Angular coordinate system apparatus for demonstrating and application method.
Above-mentioned purpose is realized by following technical scheme:
A kind of higher mathematics rectangular coordinate system in space apparatus for demonstrating, its composition include:Horizontal round bar, in described horizontal round bar
Between be provided with perpendicular through hole, the perpendicular magnetosheath of described perpendicular through hole bonding, the perpendicular round bar of insertion in described perpendicular through hole, described perpendicular round bar is provided with
Annular groove, left half magnetosheath of described annular groove bonding and right half magnetosheath, the described magnetosheath of a left side half are inhaled with the described magnetosheath of the right side half
Close perpendicular magnetosheath to fix, the centre of described horizontal round bar is provided with front jack and rear jack, described front jack and described rear jack
It is oppositely arranged, magnetosheath before described front jack bonding, magnetosheath after described rear jack bonding, described preceding magnetosheath adhesive connection is inserted
The preceding iron entered, described preceding iron are fixedly connected with front round rod, and the rear iron of described rear magnetosheath adhesive connection insertion is described
Iron is fixedly connected with rear round bar afterwards.
Described higher mathematics rectangular coordinate system in space apparatus for demonstrating, the left side of the centre of described horizontal round bar is Y-axis
Negative coordinate axle, the right side of the centre of described horizontal round bar are the positive coordinate axle of Y-axis, the described annular groove of described perpendicular round bar with
On part be Z axis positive coordinate axle, the part below the described annular groove of described perpendicular round bar is the negative coordinate axle of Z axis,
Described preceding iron is the positive coordinate axle of X-axis, and described rear iron is the negative coordinate axle of X-axis.
Described higher mathematics rectangular coordinate system in space apparatus for demonstrating, left edge is provided with the left of the centre of described horizontal round bar
Caulking groove, described left embedding groove connect the negative coordinate chi of Y-axis, right embedding groove, institute are provided with the right side of the centre of described horizontal round bar
The positive coordinate chi for the right embedding groove connection Y-axis stated;The top half of described perpendicular round bar is provided with embedding groove, it is described on inlay
Groove connects the positive coordinate chi of Z axis, and the latter half of described perpendicular round bar is provided with lower embedding groove, described lower embedding groove connection Z axis
Negative coordinate chi;Described front round rod is provided with preceding embedding groove, and described preceding embedding groove connects the positive coordinate chi of X-axis, after described
Round bar is provided with rear embedding groove, and described rear embedding groove connects the negative coordinate chi of X-axis.
Described higher mathematics rectangular coordinate system in space apparatus for demonstrating, the front and back of described horizontal round bar are provided with 2
Relative slot, the left side and the right side of described perpendicular round bar are provided with 2 relative slots, described front round rod and described rear circle
2 relative slots are provided with following above bar, the cross section of described slot is U-shaped, and the side of described slot is provided with
One group of side jack, described side jack connection curved surface slide mouth, and described side jack is slided mouth with described curved surface and communicated, and described inserts
The opposite side of groove is provided with half degree of lip-rounding slot.
Described higher mathematics rectangular coordinate system in space apparatus for demonstrating, the interior insertion quadrant demarcation strip of described slot are described
The bottom side of quadrant demarcation strip connect elastic inserted link, described elastic inserted link, which bends, to be slided mouth along described curved surface and slips into institute
The side jack stated is fixed;The bottom opposite side connection plug flat plate of described quadrant demarcation strip, described plug flat plate inserts described
It is fixed in half degree of lip-rounding slot.
Described higher mathematics rectangular coordinate system in space apparatus for demonstrating, described curved surface slide the outside depth as shallow of mouth, inner side
Depth is deep, and the radian that described curved surface slides the inner arc of mouth is big, and the radian that described curved surface slides the outer arc of mouth is small, described
Curved surface slide the described side jack of inner side connection of mouth.
Described higher mathematics rectangular coordinate system in space apparatus for demonstrating, in addition to right angle sleeve, described right angle sleeve tool
Have horizontal sleeve and perpendicular sleeve, described horizontal sleeve is mutually perpendicular to described perpendicular sleeve, 45 ° be connected, described horizontal sleeve and institute
The side for the perpendicular sleeve junction stated has a left plane, and described left plane is bonded left magnetic sheet, described horizontal sleeve with it is described
The opposite side of perpendicular sleeve junction has right plane, described right plane adhesion right magnetic sheet, described left magnetic sheet and a described left side
Magnetically fixed of the equal adhesive of magnetic sheet, the described magnetically fixed end for being bonded in drawing bar.
Described higher mathematics rectangular coordinate system in space apparatus for demonstrating, described horizontal of the end insertion of described drawing bar are inserted
Set, described perpendicular sleeve, described drawing bar are carved with flute mark according to fixed dimension, and described flute mark can be broken disconnected.
A kind of application method of higher mathematics rectangular coordinate system in space apparatus for demonstrating, first step Y-axis fixed first, Z axis, X
Perpendicular round bar is inserted perpendicular through hole by the coordinatometer of axle, second step, and by the aligned in position adhesive of perpendicular magnetosheath, left half magnetosheath, half magnetosheath
Fixed, the 3rd step assembling front round rod, magnetosheath is fixed before preceding iron is inserted into front jack and adhesive, round bar after the assembling of the 4th step, will
Magnetosheath is fixed after jack and adhesive after iron insertion afterwards, the 5th step assembling quadrant demarcation strip, elastic inserted link is bended along curved surface
Sliding mouth slips into side jack and fixed, and plug flat plate inserts fixed in half degree of lip-rounding slot;6th step prepares drawing bar according to the size given,
Suitable length is broken out according to predetermined dimensions, and the 7th step corresponds to the quadrant of Y-axis, Z axis, X-axis, using straight on quadrant demarcation strip
Angle sleeve, assembling view shape or three-dimensional model.
Beneficial effect:
1. the present invention can utilize horizontal round bar and perpendicular round bar composition plane coordinate system, can also utilize horizontal round bar, perpendicular round bar,
Front round rod, rear round bar composition rectangular coordinate system in space, it is easy to assembly and flexible.
2. the rectangular coordinate system in space third dimension that the present invention forms is strong, it is possible to increase the space of thinking of user and student with
And imagination space, be advantageous to learn well the content of higher mathematics rectangular coordinate system in space.
3. the assembling process of the present invention can be embodied specifically, be advantageous to learner's experience, study and grasp.
4. rectangular coordinate system in space can clearly be divided into 8 quadrants by the quadrant demarcation strip of the present invention, straight for space
Angular coordinate system can more easily understand and grasp, and be more convenient the particular location of 8 quadrants of memory.
Brief description of the drawings:
Accompanying drawing 1 is the structural representation of this product.
Accompanying drawing 2 is the front view of accompanying drawing 1.
Accompanying drawing 3 is the rearview of accompanying drawing 2.
Accompanying drawing 4 is the overall structure diagram of this product.
Accompanying drawing 5 is the structural representation of right angle sleeve in accompanying drawing 4.
Embodiment:
Embodiment 1:
A kind of higher mathematics rectangular coordinate system in space apparatus for demonstrating, its composition include:Horizontal round bar 1, described horizontal round bar
Centre is provided with perpendicular through hole 2, the perpendicular magnetosheath 3 of described perpendicular through hole bonding, the perpendicular round bar 4 of the interior insertion of described perpendicular through hole, described perpendicular circle
Bar is provided with annular groove 5, the magnetosheath 6 of a described annular groove bonding left side half and right half magnetosheath 7, the described magnetosheath of a left side half and described right half
The equal adhesive of magnetosheath is erected magnetosheath and fixed, and the centre of described horizontal round bar is provided with front jack 8 and rear jack 9, described front jack and institute
The rear jack stated is oppositely arranged, magnetosheath 10 before described front jack bonding, magnetosheath 11 after described rear jack bonding, before described
The preceding iron 12 of magnetosheath adhesive connection insertion, described preceding iron are fixedly connected with front round rod 13, described rear magnetosheath adhesive connection
The rear iron 14 of insertion, described rear iron are fixedly connected with rear round bar 15.
By being connected by perpendicular magnetosheath and left half magnetosheath, right half magnetosheath adhesive between horizontal round bar and perpendicular round bar, not only
Easy to assembly, firm, position is also accurate, and assembling effect is good;Connected admittedly by preceding magnetosheath, preceding iron between horizontal round bar and front round rod
It is fixed, it is connected between horizontal round bar and rear round bar by rear magnetosheath, rear iron, assembling is very convenient, connection is also very firm.
Embodiment 2:
Higher mathematics rectangular coordinate system in space apparatus for demonstrating described in embodiment 1, the left side of the centre of described horizontal round bar
For the negative coordinate axle 16 of Y-axis, the right side of the centre of described horizontal round bar is the positive coordinate axle 17 of Y-axis, the institute of described perpendicular round bar
The part more than annular groove stated is the positive coordinate axle 18 of Z axis, and the part below the described annular groove of described perpendicular round bar is Z
The negative coordinate axle 19 of axle, described preceding iron are the positive coordinate axle 20 of X-axis, and described rear iron is the negative coordinate axle 21 of X-axis.
Y-axis, Z axis, the position of the negative coordinate axle of X-axis and positive coordinate axle understand, understand, convenient to differentiate, study and grasp.
Embodiment 3:
Higher mathematics rectangular coordinate system in space apparatus for demonstrating described in embodiment 2, the left side of the centre of described horizontal round bar
Left embedding groove 22 is provided with, described left embedding groove connects the negative coordinate chi 23 of Y-axis, is provided with the right side of the centre of described horizontal round bar
Right embedding groove 24, described right embedding groove connect the positive coordinate chi 25 of Y-axis;The top half of described perpendicular round bar, which is provided with, inlays
Groove 26, described upper embedding groove connect the positive coordinate chi 27 of Z axis, and the latter half of described perpendicular round bar is provided with lower embedding groove 28,
The negative coordinate chi 29 of described lower embedding groove connection Z axis;Described front round rod is provided with preceding embedding groove 30, and described preceding embedding groove connects
The positive coordinate chi 31 of X-axis is connect, described rear round bar is provided with rear embedding groove 32, and described rear embedding groove connects the negative coordinate chi of X-axis
33。
Y-axis, Z axis, X-axis coordinatometer connection convenience, firmly, coordinatometer conveniently makes plan and solid space mould
Type.
Embodiment 4:
Higher mathematics rectangular coordinate system in space apparatus for demonstrating described in embodiment 2, the front and back of described horizontal round bar
Be provided with 2 relative slots 34, the left side and the right side of described perpendicular round bar are provided with 2 relative slots, described front round rod with
Above described rear round bar and it is following be provided with 2 relative slots, the cross section of described slot is U-shaped, described slot
Side be provided with one group of side jack 35, described side jack connection curved surface slides mouth 36, and described side jack is slided with described curved surface
Mouth communicates, and the opposite side of described slot is provided with half degree of lip-rounding slot 37.
Embodiment 5:
Higher mathematics rectangular coordinate system in space apparatus for demonstrating described in embodiment 4, the interior insertion quadrant of described slot separate
Plate 38, the bottom side of described quadrant demarcation strip connect elastic inserted link 39, and described elastic inserted link bends along described song
Face cunning mouth slips into described side jack and fixed;The bottom opposite side connection plug flat plate 40 of described quadrant demarcation strip, described is flat
It is fixed in half described degree of lip-rounding slot of plate insertion.
It is easy to assembly during quadrant demarcation strip insertion slot, pass through elastic inserted link insertion side jack, plug flat plate inserts half degree of lip-rounding
That is fixed in inserting is firm, and stably, assembling is also very convenient.
Embodiment 6:
Higher mathematics rectangular coordinate system in space apparatus for demonstrating described in embodiment 4, described curved surface slide the outside depth of mouth
It is shallow, inside depth is deep, the radian that described curved surface slides the inner arc of mouth is big, and described curved surface slides the radian of the outer arc of mouth
Small, described curved surface slides the side jack described in the inner side connection of mouth.
Curved surface slide the outer arc of mouth radian it is small can be carried out to the elastic inserted link of insertion side jack it is certain spacing and
Fixed effect, need during insertion to exert oneself, more inconvenient during extraction, fixed ratio is stronger.
Embodiment 7:
Higher mathematics rectangular coordinate system in space apparatus for demonstrating described in embodiment 1, in addition to right angle sleeve, described right angle
Sleeve has horizontal sleeve 41 and perpendicular sleeve 42, described horizontal sleeve is mutually perpendicular to described perpendicular sleeve, 45 ° be connected, it is described
The side of horizontal sleeve and described perpendicular sleeve junction has left plane 43, and described left plane is bonded left magnetic sheet 44, described
The opposite side of horizontal sleeve and described perpendicular sleeve junction has a right plane 45, and described right plane adhesion right magnetic sheet 46 is described
Left magnetic sheet and the described equal adhesive of left magnetic sheet magnetically fixed 47, the described magnetically fixed end for being bonded in drawing bar 48.
Right angle sleeve has the link position in 4 directions, and the connection in 4 directions can be provided when needing and connecting drawing bar
Position, drawing bar is can make up planar graph, can also be assembled into the model of solid, the size of adapted space rectangular coordinate system
What is assembled is accurate, and assembling effect is good.
Embodiment 8:
Higher mathematics rectangular coordinate system in space apparatus for demonstrating described in embodiment 1, the end insertion institute of described drawing bar
Horizontal sleeve, the described perpendicular sleeve stated, described drawing bar are carved with flute mark according to fixed dimension, and described flute mark can be broken disconnected.
The depth of flute mark is more than the 1/2 of drawing shank diameter.The flute mark bar that conveniently charts breaks disconnected, ease of assembly plan according to certain size
Shape and three-dimensional model.
Embodiment 9:
A kind of application method of higher mathematics rectangular coordinate system in space apparatus for demonstrating, first step Y-axis fixed first, Z axis, X
Perpendicular round bar is inserted perpendicular through hole by the coordinatometer of axle, second step, and by the aligned in position adhesive of perpendicular magnetosheath, left half magnetosheath, half magnetosheath
Fixed, the 3rd step assembling front round rod, magnetosheath is fixed before preceding iron is inserted into front jack and adhesive, round bar after the assembling of the 4th step, will
Magnetosheath is fixed after jack and adhesive after iron insertion afterwards, the 5th step assembling quadrant demarcation strip, elastic inserted link is bended along curved surface
Sliding mouth slips into side jack and fixed, and plug flat plate inserts fixed in half degree of lip-rounding slot;6th step prepares drawing bar according to the size given,
Suitable length is broken out according to predetermined dimensions, and the 7th step corresponds to the quadrant of Y-axis, Z axis, X-axis, using straight on quadrant demarcation strip
Angle sleeve, assembling view shape or three-dimensional model.
Embodiment 10:
Higher mathematics rectangular coordinate system in space apparatus for demonstrating described in embodiment 1, in addition to base, described base are provided with
Jack is justified at bottom, and described bottom circle jack connects the locating slot that 3 angles are 120 °, and described bottom circle jack connection bearing is described
Bearing outer shroud connection positioning plate, the inner ring of the described bearing of the bottom connection of described perpendicular round bar, described positioning inserts
The described locating slot of plate insertion is fixed.
Claims (9)
1. a kind of higher mathematics rectangular coordinate system in space apparatus for demonstrating, its composition includes:Horizontal round bar, it is characterized in that:Described horizontal stroke
The centre of round bar is provided with perpendicular through hole, and the perpendicular magnetosheath of described perpendicular through hole bonding, the perpendicular round bar of the interior insertion of described perpendicular through hole, described is perpendicular
Round bar is provided with annular groove, left half magnetosheath of described annular groove bonding and right half magnetosheath, the described magnetosheath of a left side half and described right half
The equal adhesive of magnetosheath is erected magnetosheath and fixed, and the centre of described horizontal round bar is provided with front jack and rear jack, described front jack with it is described
Rear jack be oppositely arranged, described front jack bonding before magnetosheath, described rear jack bonding after magnetosheath, described preceding magnetosheath inhale
The preceding iron of connection insertion is closed, described preceding iron is fixedly connected with front round rod, the rear iron of described rear magnetosheath adhesive connection insertion
Bar, described rear iron are fixedly connected with rear round bar.
2. higher mathematics rectangular coordinate system in space apparatus for demonstrating according to claim 1, it is characterized in that:Described horizontal round bar
Centre left side be Y-axis negative coordinate axle, the right side of the centre of described horizontal round bar is the positive coordinate axle of Y-axis, and described is perpendicular
More than the described annular groove of round bar part is the positive coordinate axle of Z axis, below the described annular groove of described perpendicular round bar
Part is the negative coordinate axle of Z axis, and described preceding iron is the positive coordinate axle of X-axis, and described rear iron is the negative coordinate axle of X-axis.
3. higher mathematics rectangular coordinate system in space apparatus for demonstrating according to claim 2, it is characterized in that:Described horizontal round bar
Centre on the left of be provided with left embedding groove, described left embedding groove connects the negative coordinate chi of Y-axis, the centre of described horizontal round bar
Right side is provided with right embedding groove, and described right embedding groove connects the positive coordinate chi of Y-axis;The top half of described perpendicular round bar is provided with
Embedding groove, described upper embedding groove connect the positive coordinate chi of Z axis, and the latter half of described perpendicular round bar is provided with lower embedding groove, institute
The negative coordinate chi for the lower embedding groove connection Z axis stated;Described front round rod is provided with preceding embedding groove, described preceding embedding groove connection X-axis
Positive coordinate chi, described rear round bar is provided with rear embedding groove, and described rear embedding groove connects the negative coordinate chi of X-axis.
4. higher mathematics rectangular coordinate system in space apparatus for demonstrating according to claim 2, it is characterized in that:Described horizontal round bar
Front and back be provided with 2 relative slots, the left side and the right side of described perpendicular round bar are provided with 2 relative slots, described
Front round rod with above described rear round bar and it is following be provided with 2 relative slots, the cross section of described slot is U-shaped,
The side of described slot is provided with one group of side jack, and described side jack connection curved surface slides mouth, described side jack with it is described
Curved surface is slided mouth and communicated, and the opposite side of described slot is provided with half degree of lip-rounding slot.
5. higher mathematics rectangular coordinate system in space apparatus for demonstrating according to claim 4, it is characterized in that:In described slot
Insert quadrant demarcation strip, the bottom side of described quadrant demarcation strip connects elastic inserted link, described elastic inserted link bend along
Described curved surface cunning mouth slips into described side jack and fixed;The bottom opposite side connection plug flat plate of described quadrant demarcation strip, institute
It is fixed in half degree of lip-rounding slot described in the insertion of plug flat plate stated.
6. higher mathematics rectangular coordinate system in space apparatus for demonstrating according to claim 4, it is characterized in that:Described curved surface is slided
The outside depth as shallow of mouth, inside depth are deep, and the radian for the inner arc that described curved surface slides mouth is big, and described curved surface slides the outer of mouth
The radian of side circular arc is small, and described curved surface slides the side jack described in the inner side connection of mouth.
7. higher mathematics rectangular coordinate system in space apparatus for demonstrating according to claim 1, it is characterized in that:Also inserted including right angle
Set, described right angle sleeve have horizontal sleeve and perpendicular sleeve, and described horizontal sleeve is mutually perpendicular to described perpendicular sleeve, 45 ° of companies
Connect, the side of described horizontal sleeve and described perpendicular sleeve junction has left plane, and described left plane is bonded left magnetic sheet, institute
The horizontal sleeve stated and the opposite side of described perpendicular sleeve junction have a right plane, and described right plane adhesion right magnetic sheet is described
Left magnetic sheet and described magnetically fixed of the equal adhesive of left magnetic sheet, the described magnetically fixed end for being bonded in drawing bar.
8. higher mathematics rectangular coordinate system in space apparatus for demonstrating according to claim 1, it is characterized in that:Described drawing bar
The described horizontal sleeve of end insertion, described perpendicular sleeve, described drawing bar is carved with flute mark, described groove according to fixed dimension
Trace can be broken disconnected.
9. a kind of application method of higher mathematics rectangular coordinate system in space apparatus for demonstrating, it is characterized in that:First step Y fixed first
Perpendicular round bar is inserted perpendicular through hole by axle, Z axis, the coordinatometer of X-axis, second step, and by perpendicular magnetosheath, left half magnetosheath, half magnetosheath position
Alignment is fixed, and the 3rd step assembling front round rod, magnetosheath is fixed before preceding iron is inserted into front jack and adhesive, the assembling of the 4th step
Round bar afterwards, magnetosheath after jack after the insertion of rear iron and adhesive is fixed, the 5th step assembling quadrant demarcation strip, elastic inserted link beaten
Curved to slide mouth along curved surface and slip into side jack and fix, plug flat plate inserts fixed in half degree of lip-rounding slot;6th step is according to the size given
Prepare drawing bar, break out suitable length according to predetermined dimensions, the 7th step corresponds to the quadrant of Y-axis, Z axis, X-axis, in quadrant point
Right angle sleeve, assembling view shape or three-dimensional model are utilized on dividing plate.
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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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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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CN107886811B CN107886811B (en) | 2020-07-07 |
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CN110977946A (en) * | 2019-12-12 | 2020-04-10 | 常州工学院 | Terminal coordinate ball for robot teaching |
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