Computer mathematics diagraph
Technical field
The present invention relates to computing math instruction technical fields, the computer mathematics diagraph especially in teaching.
Background technology
Computer mathematics is a subject in university, in College Mathematics Teaching, in order to enable student intuitively to understand
The meaning of mathematical formulae, teacher often draw to mathematical formulae on blackboard, and existing Teaching in University is drawn, and teacher is logical
The form for crossing Freehandhand-drawing is manually mapped, and during mapping, it is nonstandard drawing size often occur, does not have drawing coordinate system, paints
The figure straight line of system is bending, draws bowlder, and the radius size looked on ruler is accurate, but round half often drawn out
Diameter is of different sizes with real radius, often occurs not being bigger than normal being exactly less than normal, cannot draw complete and regular circle so that paint
Figure and the formula come is made to mismatch, cannot expression formula well meaning.
This traditional Freehandhand-drawing mapping may cause the misunderstanding of student, and teaching efficiency is bad, and therefore, the present invention provides one
Diagraph in terms of kind mathematical education so that realization coordinate setting is accurate when drawing, and it is accurate that size is drawn, round to draw U.S.
It sees.
Invention content
For the above situation, to overcome the defect of the prior art, the present invention provides computer mathematics diagraph, effective to solve
Existing mathematical education of having determined is unable to the problem of specification is drawn in drawing course.
The present invention includes drawing board, which is characterized in that the batching slot for placing batching, batching slot are fixed on rear side of drawing board
Bottom first rotating shaft is installed, the both ends of first rotating shaft are equipped with the first wind spring, and being wound in first rotating shaft can pull out and twine
Around batching, the both ends and centre of batching are connected separately with rigid rope;
The upper end of drawing board is fixed with three groups of pulley blocks opposing upper and lower, and three sections of rigidity ropes are worn from the centre of pulley blocks respectively
It crosses and is removably connected with ruler;
The upper end of batching slot is equipped with clamping device;
The end rigidly restricted among batching is equipped with the first cylinder, and the first clamping slot is offered on the first cylinder,
The back side of ruler is fixed with the first clamping body that size and location is mutually matched with the first clamping slot, is arranged on the first clamping body
Second wind spring;
Multiple grooves are offered on the back side of ruler, the first magnetic patch is placed in groove, and the rear side activity of drawing board is placed
There is the second magnetic patch corresponding with the first magnetic patch;
Ruler includes the internal shell for cavity, and the downside of shell is equipped with opening, and the upper surface of shell offers rectangle
Hole offers the sliding rail being placed on Housing Base below rectangular opening, and at least upper surface is transparence in all faces of ruler, directly
Be provided with the first scale on the upper surface of ruler, rack be installed at upper side in ruler, between rack and the bottom plate of ruler there are
Gap, rack are engaged with first gear and second gear, and running through in first gear and second gear has third shaft, and third turns
The upper and lower side of axis is arranged with sleeve, wherein and the sleeve lower end of third shaft lower end is connected with the sliding block that can be slided in sliding rail,
Fixing sleeve is equipped with the first pointer on the outside of sleeve in first gear and second gear, and the first pointer is placed in gap and is directed toward the
Locating slot, the part tooth of first gear and second gear are offered on the sleeve of one scale, first gear and second gear upper end
It is placed in open outer side, third shaft can do transverse movement in rectangular opening.
Preferably, the batching slot upper end opening, inside are cavity, and the outside of batching slot is fixed on mapping through fixed link
The rear side of plate.
Preferably, the clamping device includes the second shaft for being placed in batching slot upper end both sides, the upper end of the second shaft
It is connected with clamp clip, teeth are offered on clamp clip, the second shaft lower end is connected with rocking handle.
Preferably, the both ends and centre of the drawing board offer grooving, are used for placing rigid rope in grooving, wherein
The grooving at drawing board both ends is referred to as spareslots, and the grooving among drawing board is referred to as guide groove, and L is rotatably connected at spareslots
The guide plate of shape, the distance between guide plate and drawing board are more than the thickness of ruler, and the upper surface of guide groove is equipped with turnable
The tabletting of opening, tabletting ensure that rigidity rope is placed in guide groove.
Preferably, the end rigidly restricted at the batching both ends is equipped with the second cylinder, is offered on the second cylinder
Second clamping slot, the back side of ruler are fixed with the second clamping body that size and location is mutually matched with the second clamping slot, the second card
It is arranged with third wind spring on tight body.
Preferably, the upper surface of the ruler is placed between sleeve and third shaft.
Preferably, arc notch is offered on the second gear upper end locating slot.
Preferably, scale is arranged on the sleeve of the first gear upper end, scale is transparence, the setting of scale upper end
There is the second scale, one end of scale to be set on the sleeve of first gear upper end, offer through-hole on scale, second gear it is upper
The sleeve at end is placed in through-hole, and when rotating first gear, scale follows the rotation of first gear and transverse shifting, but second
Gear, which does not follow movement, second gear, to be movably placed in through-hole, is arranged on the sleeve of second gear upper end and was directed toward for the second quarter
Second pointer of degree.
Preferably, manual bolts, the bottom of manual bolts are removably connected on the sleeve of the first gear upper end
The upper surface that face contacts ruler can be fixed by first gear when turning manual bolts.
Preferably, expansion tightening wheel is installed on the rigidity rope.
Structure of the invention is ingenious, as mathematics diagraph, teaching is facilitated to map, drawing specification, accurate size, teaching when side
Just student understands mapping meaning, and convenient when use, size positions can be adjusted according to the needs, and it is accurate to draw circle, origin it is adjustable and
Ensure that the radius of circle is accurate.
Description of the drawings
Fig. 1 is overall structure side view schematic diagram of the present invention.
Fig. 2 is drawing board stereogram schematic diagram of the present invention.
Fig. 3 is the shell stereogram schematic diagram of ruler of the present invention.
Fig. 4 is that present invention rigidity rope is detachably connected schematic diagram with ruler.
Fig. 5 is ruler inner rack of the present invention and first gear and second gear mesh schematic representation.
Fig. 6 is that first gear of the present invention rotates transverse movement structural schematic diagram.
Fig. 7 is that second gear of the present invention rotates transverse movement structural schematic diagram.
Fig. 8 is that first gear of the present invention rotates transverse movement structural side view schematic diagram.
Fig. 9 is first gear of the present invention, second gear and scale attachment structure schematic diagram.
Specific implementation mode
For the present invention aforementioned and other technology contents, feature and effect, in following cooperation with reference to figures 1 through Fig. 9 pairs
In the detailed description of embodiment, can clearly it present.The structure content being previously mentioned in following embodiment is attached with specification
Figure is reference.
Each exemplary embodiment of the present invention is described below with reference to accompanying drawings.
Embodiment one, the present invention are computer mathematics diagraph, are mainly used as, in mathematical education, facilitating drawing, essence of drawing
Really, student is made to be easier to understand, structure includes drawing board 1, and being used as drawing uses, and volume is fixed in the rear side of drawing board 1
Cloth slot 2, batching slot 2 are integrally fixed on drawing board 1, and first rotating shaft 3, first rotating shaft 3 are equipped in the lower end base of batching slot 2
Both ends the first wind spring 4 is installed so that first rotating shaft 3 rotate after can voluntarily invert reset, volume is wound in first rotating shaft 3
Cloth 5, batching 5 can pull out, and can also be wrapped in first rotating shaft 3, and two ends of 5 end of batching and centre are connected separately with
Rigidity rope 6, minimizes elasticity.
It is fixed in the upper end of drawing board 1 and rigidity 6 matched pulley blocks 7 of rope, pulley blocks 7 is three groups, it is possibility to have is more
Group, as long as corresponding with the quantity of rigidity rope 6, this three sections rigidity ropes 6 are passed through from the centre of pulley blocks 7 respectively, are then being held
Head is removably connected with laterally disposed ruler 8, and ruler 8 can not pass through from the gap between pulley blocks 7, between pulley blocks 7
Gap is used only to through rigidity rope 6, and ruler 8 is blocked at pulley blocks 7.
Clamping device is installed at the upper end opening of batching slot 2, after pulling out batching 5, needs the batching 5 to current location
It is clamped fixation, prevents batching 5 from automatically retracting.
The end of that rigidity rope 6 connected among batching 5 is equipped with the first cylinder 9, is opened up on the first cylinder 9
There is the first clamping slot 10, the first clamping body 11 being mutually matched with the first clamping slot 10 is fixed at the back side of ruler 8, first
The second wind spring 12 is arranged on clamping body 11, the second wind spring 12 can also be mounted in the first clamping slot 10, in order to the
One clamping body 11 can rotate in the first clamping slot 10, and after rotation, the first clamping body 11 can be automatically reset to originally
Position.
Multiple grooves 13 are offered at the back side of ruler 8, are used for placing fixing the first magnetic patch 14, drawing board 7 in groove 13
Trailing flank also activity be placed with the second magnetic patch 15 to match with the first magnetic patch 14, the second magnetic patch 15 be in order to the first magnetic patch
14, with what is just used, when without using mapping, do not need the second magnetic patch 15, when needing to map, the second magnetic patch 15 and first
Magnetic patch 14 attracts each other so that ruler 8 can be fixed on drawing board 1.
Include structure inside ruler 8, be not a simple cuboid, ruler includes a shell 16, in shell 16
Portion is cavity, and for drawing board 1,16 downside of shell offers opening 17, and the upper surface of shell 16 offers rectangular opening
18, the lower section of rectangular opening 18 offers the sliding rail 19 being placed on 16 bottom plate of shell, and there are six faces for ruler 8, wherein at least ruler 8
Upper surface be it is transparent, purpose can see that the first scale 20 on ruler 8, the first scale 20 are placed in the upper surface of ruler 8,
In other words, position is transparent at that of at least 8 the first scale of upper surface 20 of ruler, in order to conveniently see the first scale
20。
Upper side is equipped with rack 21 in ruler 8, and there are many positions of rack 21, as long as not influencing the first scale 20
It has been shown that, rack 21 do not contact the bottom plate of ruler 8 when installing so that there are gap, teeth between rack 21 and the bottom plate of ruler 8
Item 21 is fixed, and rack 21 is engaged with moveable first gear 22 and second gear 23, in first gear 22 and
Third shaft 24 is installed, third shaft 24 follows first gear 22 and second gear 23 to rotate, third shaft in two gears 23
24 upper and lower side is arranged with sleeve 25, ensures that third shaft 24 may be implemented to rotate, but sleeve 25 is with rotating with it, third
The sleeve 25 of 24 lower end position of shaft is connected with sliding block 26, and sliding block 26 is placed in sliding rail 19, ensures rack 21 and first gear 22
When being engaged with second gear 23, first gear 22 and second gear 23 can be with normal rotation and completion transverse movement, first gears
22 and 23 lower end of second gear sleeve 25 on go back fixing sleeve and be equipped with the first pointer 27, the first pointer 27 do not follow rotation yet, the
One pointer 27 is placed in gap, and is directed toward the first scale 20 always, the sleeve 25 in 23 upper end of first gear 22 and second gear
Top offers locating slot 28, and the locating slot 28 in first gear 22 is primarily used to place the angle of compasses in drawing tool
, as the placement of compasses angle, the locating slot 28 in second gear 24 is used for placing the paintbrush end on compasses.
First gear 22 and being partially disposed in for second gear 23 are open at 17, facilitate and stir first gear 22 with hand to control
With second gear 23 so that first gear 22 and second gear 23 realize rotation movement, to position required quarter to change
Degree.
Embodiment two, on the basis of embodiment one, there is opening in the upper end of batching slot 2, is used for passing through batching 5;Inside is
Cavity, for placing batching 5, the outside of batching slot 2 is fixed on the rear side of drawing board 1 through fixed link 29, for fixing drawing board
1。
Embodiment three, on the basis of embodiment one, clamping device includes be placed in both sides at 2 upper end opening of batching slot
The upper end of two shafts 30, the second shaft 30 is connected with clamp clip 31, and teeth 32 are offered on clamp clip 31, for clamping volume
Cloth 5,30 lower end of the second shaft are connected with rocking handle 33, can be with rotation crank 33 so that teeth 32 clamp batching 5 so that 5 nothing of batching
Method is pulled out or is withdrawn.
Example IV, on the basis of embodiment one, the both ends and centre of drawing board 1 offer grooving, and grooving is mainly
For placing rigidity rope 6, prevent when drawing, since 6 pressing of rigidity rope is on drawing board 1 so that ruler 8, which is unable to zoom level, to be made
With.
For the grooving for preferably distinguishing 1 both ends of drawing board and intermediate grooving, the grooving at 1 both ends of drawing board is referred to as
For spareslots 34, intermediate grooving is referred to as guide groove 35, and L-shaped guide plate 36 is rotatablely equipped at spareslots 34, is used for
Play the role of guiding to ruler 8, is also prevented from the outside side oscillation when drawing of ruler 8, while also playing work for the fixation of ruler 8
With.
The distance between guide plate 36 and drawing board 1 be more than ruler 8 at a distance from so that ruler 8 can it is appropriate outward
Certain distance is pulled, to be fitted on guide plate 36, the tabletting 37 that opening may be reversed is installed in the upper surface of guide groove 35,
When rigidly rope 6 is placed in guide groove 35, tabletting 37 is used for controlling rigidity rope 6 and is placed in guide groove 35, plays and leads to rigidity rope 6
To with fixed effect.
Embodiment five, cannot well will be straight due to the first only intermediate cylinder 9 on the basis of embodiment one
Ruler 8 is in horizontality, therefore, in order to which ruler 8 is preferably placed in horizontality, in the end of the rigidity rope 6 at 5 both ends of batching
Second cylinder 38 is installed, the second clamping slot 39 is offered on the second cylinder 38,8 back side of ruler equally has and the second clamping
The second clamping body 40 that slot 39 matches is arranged with third wind spring 41 on the second clamping body 40 or third wind spring 41 is placed in
In two clamping slots 39, the structure class of the structure and the first cylinder 9, the first clamping slot 10, the first clamping body 11, the second wind spring 12
Seemingly, it is therefore an objective to ensure that ruler 8 is in horizontality.
Embodiment six, on the basis of embodiment one, in order to preferably ensure that first gear 22 and second gear 23 are related
Structure can smoothly move, the sleeve 25 of 23 upper end of first gear 22 and second gear is placed on the outside of 8 upper surface of ruler, the
The movement in rectangular opening 18 of three shafts 24.
Embodiment seven, on the basis of embodiment one, when drawing circular pattern, due to there are certain height distance,
In order to avoid size caused by height distance influences, arc notch 42 is offered on the locating slot 28 in second gear 23.
Embodiment eight is arranged with scale 43, scale on the basis of embodiment one on the sleeve 25 of 22 upper end of first gear
43 purpose is in order to which the size always using the locating slot 28 in first gear 22 as origin, rather than on ruler 8 is as former
Point is easier to determine circular radius distance in this way.
Scale 43 is also see-through look, and aspect watches the second scale 44, and one end of scale 43 is equipped with round hole, can be set in
It on the sleeve 25 of 22 upper end of first gear, is integrally formed with the sleeve 25 so that when first gear 22 rotates, scale 43 does not follow
Rotation, but with moving with it, through-hole 45 is offered on scale 43, the sleeve 25 of the upper end of second gear 23 is placed in through-hole 45
It is interior so that no matter rotation first gear 22 or when second gear 23, scale 43 is not with rotating with it and transverse movement.
The second pointer 46 is arranged on sleeve 25 in second gear 23, the second pointer 46 does not follow rotation, can be always
It is directed toward the second scale 44.
Embodiment nine, on the basis of embodiment one, being selected when the locating slot 28 in first gear 22 makes as compasses
When round origin, its position changes in order to prevent, and hand is removably connected on the sleeve 25 in first gear 22
Locating slot 28, is fixed at required origin position by dynamic bolt 47 by manual bolts 47.
Embodiment ten, on the basis of embodiment one, for more preferably more convenient two laybacks for making rigidity rope 6 in drawing board 1
It stretches and withdraws, expansion tightening wheel 48 is installed on rigidly rope 6.
When specifically used, rigidity rope 6 is pulled, so that rigidity rope 6 is passed through on drawing board 1, is installed in the other side of drawing board 1
First clamping body 11 is matched in the first clamping slot 10 by ruler 8, and the second clamping body 40 of both sides is also matched to the second clamping
In slot 39, continuing to pull downward on ruler 8, rigidity rope 6 moves in spareslots 34 and guide groove 35, after choosing suitable position,
Two hands hold the both ends of ruler 8, it is ensured that ruler 8 is horizontal, and then turn to the inside rocking handle 33, is made in the second shaft 30
The teeth 32 of clamp clip 31 clamp batching 5, and hand can decontrol ruler 8 at this time, and ruler 8 will not be withdrawn.
After choosing suitable position, the second magnetic patch 15 is placed on to the rear side of drawing board 1, the first magnetic patch 14 and the second magnetic
Block 15 attracts through drawing board 1, convenient to draw horizontal linear on drawing board 1 to which ruler 8 to be fixed on drawing board 1.
When needing drawing inclined line, the second clamping body 40 is dismantled, then rotates ruler 8, the first clamping body 11 is the
Rotation in one clamping slot 10 so that ruler 8 is completed to tilt, to carry out the drafting of parallax.
After having drawn inclination, ruler 8 is unclamped, takes away the second magnetic patch 15, ruler 8 can be under the action of the second wind spring 12
Original position is automatically reverted to, or the second clamping body 40 can installed, because the rigidity rope 6 of 1 both sides of drawing board cannot follow
The length of rotation, rigidity rope 6 is identical, and therefore, 3 points can ensure that ruler 8 returns to horizontal position in situ.
When needing to draw round, good circular radius is selected first, and two kinds of situations are likely to occur when drawing round:
Situation one:It is identical as the origin of graphing coordinate system to draw circular origin;
First gear 22 is stirred with hand, first gear 22 is engaged with rack 21, and first gear 22 rotates, 24 turns of third shaft
Dynamic, sleeve 25 does not rotate, but first gear 22 is followed to move, and sliding block 26 moves in sliding rail 19, to complete first gear
22 can work normally gear motion with rack 21, and the first pointer 27 is directed toward the first scale 20, the center of circle of the first pointer 27 always
It is identical as the center of circle of sleeve 25, so the scale of 27 meaning of the first pointer is exactly true scale.
First gear 22 is toggled it at the origin of coordinate system first, at this point, second gear 23 is then stirred, by
The first pointer 27 on two gears 23 is directed toward radial position, the size for being sized at required radius on the first scale 20.
It is different from the origin of graphing coordinate system to draw circular origin for situation two;
1, first gear 22 is stirred first, first gear 22 is toggled it at required origin, origin and coordinate origin
Then second gear 23 is stirred at required coordinate system in difference, the position of coordinate system where calculating radius according to size difference,
The position being directed toward on first pointer 27 is not radius size.
2, first gear 22 is stirred at origin, is then stirred second gear 23, need not be seen the first scale 20 at this time, and
It is the second scale 44 watched on scale 43, scale 43 follows first gear 22 to move always, therefore, no matter 22 turns of first gear
Dynamic where be moved to, the position where first gear 22 is exactly the position where the picture bowlder of scale 43, and the origin of scale 43 is always
It is identical as circular origin, second gear 23 is then stirred, the second scale 44 that the second pointer 46 in second gear 23 is directed toward
It is exactly radius size.
In specific draw, the fixed feet of compasses is placed in the locating slot 28 in first gear 22, the picture on compasses
Pen is placed in the locating slot 28 in second gear 23, and paintbrush is slowly moved on drawing board 1 along arc notch 42 and is painted
Figure.
Although there is parts inside ruler 8, actually since the size of the first scale 20 and the second scale 44 is fixed
Constant, the equal parts of first gear 22 and second gear 23 all very littles in ruler 8, the thickness of ruler 8 will not make drawing
At influence.
After having drawn semicircle, it may cause compasses that can not pass through due to ruler 8, and due to 8 width of ruler
Will not be very big, therefore directly skip and complete picture circle, very big defect will not be caused to circle, after ruler is taken away, it is only necessary to slightly
It is micro- to mend circle completely.
Alternatively, after having drawn semicircle, by 8 outside side stretching of ruler, the second magnetic patch 15 is placed on L-shaped guide plate
36 outside so that ruler 8 is fixed on L-shaped guide plate 36 by the first magnetic patch 14 and the second magnetic patch 15, then ruler 8 does not connect
Drawing board 1 is touched, bowlder is being drawn, only need to be slightly tilted compasses, it is complete by that can draw from 8 lower section of ruler that compasses are drawn circle
Circle.
After all drawn, the second magnetic patch 15 is taken away, opens locking device, come up ruler 8,8 meeting of ruler
It is withdrawn under the action of the first wind spring 4, final ruler 8 is stopped by pulley blocks 7, is placed in the upper end of drawing board 7, nor affects on mapping
Beauty.
Structure of the invention is ingenious, as mathematics diagraph, teaching is facilitated to map, drawing specification, accurate size, teaching when side
Just student understands mapping meaning, and convenient when use, size positions can be adjusted according to the needs, and it is accurate to draw circle, origin it is adjustable and
Ensure that the radius of circle is accurate.