CN109109524A - A kind of mathematical model teaching optimization method - Google Patents
A kind of mathematical model teaching optimization method Download PDFInfo
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- CN109109524A CN109109524A CN201811024990.7A CN201811024990A CN109109524A CN 109109524 A CN109109524 A CN 109109524A CN 201811024990 A CN201811024990 A CN 201811024990A CN 109109524 A CN109109524 A CN 109109524A
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- idler wheel
- rack gear
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B43—WRITING OR DRAWING IMPLEMENTS; BUREAU ACCESSORIES
- B43L—ARTICLES FOR WRITING OR DRAWING UPON; WRITING OR DRAWING AIDS; ACCESSORIES FOR WRITING OR DRAWING
- B43L13/00—Drawing instruments, or writing or drawing appliances or accessories not otherwise provided for
- B43L13/001—Mathematical drawing instruments
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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
- G09B5/00—Electrically-operated educational appliances
- G09B5/02—Electrically-operated educational appliances with visual presentation of the material to be studied, e.g. using film strip
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- Business, Economics & Management (AREA)
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Abstract
The invention belongs to teaching method technical fields, specifically a kind of mathematical model teaching optimization method, demonstration teaching aid in this method includes No.1 idler wheel, rack gear, limited block, mobile bracket, No. two idler wheels, support plate, sucker, fixed modules, No. two idler wheels are rotatably connected on the lower end of mobile bracket, and step surface of No. two idler wheels along rack gear side rolls；The No.1 idler wheel is equipped with fixed module；The present invention is by being arranged one group of support plate in the lower section of rack gear, it is fixedly connected with one group of sucker on the supporting plate, No.1 idler wheel is rotatably connected on to the upper end of mobile bracket, two No. two idler wheels are symmetrical set in the lower end of mobile bracket, realize the track that cycloid is drawn on blackboard, and the teaching aid is easy to remove and installs, flexibility is big, facilitate teacher at school when carrying, by intuitively observing the formation of cycloidal path, more student can be made to understand the characteristic of cycloid, and then improve the quality of instruction of teacher.
Description
Technical field
The invention belongs to teaching method technical field, specifically a kind of mathematical model teaching optimization method.
Background technique
Cycloid is one of charming curve numerous in mathematics, it is defined such that a circle slow ground roll along a straight line
Dynamic, then the track that the upper fixed point of circle is passed through is known as cycloid.In Higher Mathematics Teaching including cycloid etc. particular curves, in tradition
Mathematical education simulation in, teacher by the way that multiple circles are drawn on blackboard with tool, by way of looking for a little embody putting
The rule of line, virtually influences efficiency of giving lessons in this way, and student understands that some teachers pass through ready-made figure under class nor very thorough
Piece is shown during giving lessons, although solving the situation without picture circle of attending class to a certain extent, classmate learns not
It is that very intuitively, cannot intuitively observe the stroke of cycloid, and then influence the quality of classroom instruction.Therefore, it is necessary to design one kind
Carry out aided education at demonstration teaching aid applied to mathematics cycloidal.
Also occurs the technical solution of some cycloid demonstration teaching aids in the prior art, such as application No. is 2017101128186
A Chinese patent disclose a kind of Higher Mathematics Teaching cycloid demonstration teaching aid, including blackboard, the front of the blackboard the
It is cased with ring chain on one gear and second gear, driving motor, driving motor are additionally provided between first gear and second gear
Output shaft on be installed with driving gear, driving gear and second gear engagement connection, the lower section of ring chain are equipped with rack gear, tooth
The both ends of item are equipped with limited block, and working gear meshed respectively, the bottom of blackboard are connected between ring chain and rack gear
It is equipped with support rod among portion, the lower end of support rod is equipped with bottom block, and the bottom outer ring of bottom block is equipped with multiple idler wheels, on support rod
It is also socketed with sleeve, the external circumferential of sleeve is equipped with multiple supporting legs.
Demonstration teaching aid in the technical solution can be realized the generating process of demonstration cycloid, convenient for the understanding to cycloid, but
It is that the teaching aid volume is larger, is not easy to attending class for teacher's flow pattern, although installation castor, for the high-storey of teaching building,
It is not readily portable；The rolling that wheel and rack engagement is realized, cannot accurate true cycloidal path at simulation, Jin Erying
Understanding of the student to cycloid is rung, to influence the quality of instruction of teacher.
Summary of the invention
In order to make up for the deficiencies of the prior art, a kind of mathematical model proposed by the present invention is imparted knowledge to students optimization method, in this method
Demonstration teaching aid by the lower section of rack gear be arranged one group of support plate, be fixedly connected with one group of sucker on the supporting plate, No.1 rolled
Wheel is rotatably connected on the upper end of mobile bracket, is symmetrical set two No. two idler wheels in the lower end of mobile bracket, realizes black
Draw the track of cycloid on plate, and the teaching aid is easy to remove and installation, flexibility is big, facilitate teacher at school when carrying, pass through
Intuitively the formation of cycloidal path is observed, more student can be made to understand the characteristic of cycloid, and then improve teacher
Quality of instruction；No.1 step surface, No. two step surfaces on the upper end face of rack gear are set on No.1 idler wheel, and setting No.1 is rolled
No. two step face contacts on No.1 step surface and rack gear on wheel, ensure that No.1 idler wheel is rolled in plane, avoid
The center of No.1 idler wheel caused by being engaged with rack by No.1 idler wheel is shaken up and down, and then leads to the error of cycloidal path, is given
Student generates the deviation on understanding, and then influences quality of instruction.
The technical solution adopted by the present invention to solve the technical problems is: a kind of mathematical model teaching of the present invention is excellent
Change method, this method comprises the following steps:
Step 1: demonstration teaching aid is mounted on blackboard；
Step 2: the principle pattern of mathematical model is painted on blackboard by the demonstration teaching aid of step 1, facilitates student
Understanding to mathematical model；
Step 3: the pattern for the principle being presented on blackboard in step 2 is acquired by acquisition module, is prevented because of student
It erases the board after class, results in the need for teacher and paint again, so that delaying a large amount of instructional blocks of time；
Step 4: the pattern data acquired in step 3 is stored in the memory module of control centre, to teaching data
It is achieved, is learnt after making teaching notes and students in class for teacher；
Step 5: the control centre in step 4 will listen on the projector of pattern synchronous transfer to self-study classroom or for teacher
On the projector of class, facilitate student also can be carried out review when reviewing one's lessons, and then provide comfortable study ring to student
Border；Prepare independent environment exclusively for mutually listening to the teacher between teacher, prevent because teacher listens to the teacher and affects the quality of listening to the teacher of student,
Teacher will not worry to influence student and cannot mutually discuss simultaneously, and then improve the product of mutual exchange study between teacher
Matter；
Step 6: Faculty and Students download to the pattern stored in step 4 on respective terminal device, facilitate teacher
Mode, the method for teaching are carried out perfect, further increases quality of instruction, student can carry out after class mathematical model and answer
It practises, further deepens the impression；
Wherein, the demonstration teaching aid includes No.1 idler wheel, rack gear, limited block, and the No.1 idler wheel passes through gear teeth meshing
It is rolled on rack gear；The both ends of the rack gear are respectively fixedly connected with limited block；Further include mobile bracket, No. two idler wheels, support plate,
The lower section of sucker, fixed module, the rack gear is equipped with one group of support plate；The support plate upper end is fixedly connected on the lower end of rack gear
One group of sucker is fixedly connected on surface, in support plate；The No.1 idler wheel is rotatably connected on the upper end of mobile bracket；The movement
The lower end of bracket is symmetrical set two No. two idler wheels；No. two idler wheels are rotatably connected on the lower end of mobile bracket, and No. two
Step surface of the idler wheel along rack gear side rolls；The No.1 idler wheel is equipped with fixed module；The fixed module is for fixing powder
Pen；In use, the sucker paster in support plate is firmly pressed on blackboard, rack gear is fixedly connected on blackboard by the sucker of lower section
Mobile bracket is moved to rack gear one end, then chalk is fixed on No.1 idler wheel by the fixed module on No.1 idler wheel by surface
On, with the dynamic mobile bracket of hand push, No.1 idler wheel is along upper end of the rack surface scrolls, while the chalk on No.1 idler wheel is drawn on blackboard
The track of cycloid out, the teaching aid it is easy to remove and installation, flexibility is big, facilitate teacher at school when carrying, by intuitively right
The formation of cycloidal path is observed, and more student can be made to understand the characteristic of cycloid, and then improves the teaching matter of teacher
Amount.
Preferably, No.1 step surface is set on the No.1 idler wheel, and the No.1 step surface on No.1 idler wheel is cylindrical surface；Institute
No. two step surfaces on the upper end face of rack gear are stated, No. two step surfaces on rack gear are plane；No.1 platform on the No.1 idler wheel
No. two step face contacts on terrace and rack gear；In use, No. two by the No.1 step surface on No.1 idler wheel on rack gear
It is rolled on step surface, ensure that No.1 idler wheel is rolled in plane, avoided caused by being engaged with rack by No.1 idler wheel
The center of No.1 idler wheel is shaken up and down, and then leads to the error of cycloidal path, generates the deviation on understanding to student, and then influence
Quality of instruction.
Preferably, the fixed module is slidably mounted on No.1 idler wheel by sliding shoe；The sliding shoe is slidably installed
In the sliding slot on No.1 idler wheel, one group of V-type groove is arranged in the side of sliding shoe, and the sliding slot on No.1 idler wheel is disposed radially,
Stripper plate is arranged in sliding slot side on No.1 idler wheel；One group of V-type protrusion, the V-type on stripper plate is arranged in the side of the stripper plate
Protrusion is bonded with the V-type groove on sliding shoe, and the other side of stripper plate is connected by the side of spring and sliding slot；In use, logical
It can be realized after overcompression stripper plate and sliding shoe be adjusted, and then realize and draw different size of cycloid on blackboard, into
And can be used in observing the changing rule between different size cycloid, convenient for further studying the characteristic of cycloid, assisted teacher is complete
At teaching.
Preferably, the fixed module includes rotary cutter, drive sleeve, fixing sleeve, magnet, cover board, spring, synchronization
Band fixes gear, tensioning wheel, uniformly inlays one group of magnet, the cylinder of sliding shoe on the cylindrical hole inner wall on the sliding shoe
Drive sleeve is rotatablely connected in through-hole；The drive sleeve is un-conducted magnetic material, and one end of drive sleeve is fixedly connected
Rotary cutter, the other end of drive sleeve, which is realized by the engaging tooth on cylindrical surface with synchronous belt, to be driven；The synchronous belt
The gear teeth that lower end passes through on fixed gear realize intermeshing, and synchronous belt is equipped with tensioning wheel；The tensioning wheel is solid by spring
Surely it is connected on No.1 idler wheel；The fixed gear is fixedly connected on the upper end of mobile bracket；Rotation in the drive sleeve
It is connected and fixed set；One group of magnet, the magnetic on magnet and sliding shoe on fixing sleeve are uniformly inlayed on the cylindrical surface of the fixing sleeve
Iron quantity is identical, and one end of fixing sleeve passes through one group of spring connecting cover plate；In use, when No.1 idler wheel is rolled along upper end of the rack face
When, the drive sleeve on No.1 idler wheel is rotated around the rotary shaft of No.1 idler wheel, drives drive sleeve real further through synchronous belt
Existing rotation, and then drive sleeve drives the rotary cutter rotation of end；Chalk one end is against on rotary cutter, chalk it is another
End is supported on the cover board, and because of the attraction of the magnet on the magnet and sliding shoe on fixing sleeve, realizes that fixing sleeve does not rotate, into
And the fixation of chalk is realized by spring and cover board, and then realize that rotary cutter eliminates the end of chalk, guarantee chalk
It is drawn in turn with thinner end and is more clear accurate cycloidal path, further improve the accuracy of demonstration, and then improve
The quality of instruction of teacher.
Preferably, the side of the cover board is fixedly connected with one end of cutting ferrule；The cutting ferrule is covered in one end of chalk, cutting ferrule circle
Taper buckle on cylinder is contacted with the inner hole edge of fixing sleeve；In use, one end of chalk is pressed on fixing sleeve by cutting ferrule
It is interior, on the one hand guarantee that chalk will not be rotated relative to fixing sleeve when rotary cutter cutting chalk, and then guarantee rotary cutter to powder
Pen is effectively cut, and on the other hand guarantees that chalk will not be swung when drawing cycloidal path, and then ensure that cycloidal path
Accuracy further improves the accuracy of demonstration.
Preferably, annular air-pocket is equipped between the taper buckle and the cylindrical surface of cutting ferrule of the cutting ferrule；In use, cutting ferrule
It is equipped with annular air-pocket between taper buckle and the cylindrical surface of cutting ferrule, on the one hand ensure that the deflection of the taper buckle on cutting ferrule,
And then convenient card set enters in the inner hole of fixing sleeve, on the other hand ensure that the taper on cutting ferrule is buckled in and is constantly compressed for a long time
It can still spring back afterwards, and then improve the service life of cutting ferrule.
Beneficial effects of the present invention are as follows:
The optimization method 1. a kind of mathematical model of the present invention is imparted knowledge to students, the demonstration teaching aid in this method pass through in rack gear
One group of support plate is arranged in lower section, is fixedly connected with one group of sucker on the supporting plate, No.1 idler wheel is rotatably connected on mobile bracket
Upper end is symmetrical set two No. two idler wheels in the lower end of mobile bracket, realizes the track for drawing cycloid on blackboard, and should
Teaching aid it is easy to remove and installation, flexibility is big, facilitate teacher at school when carrying, by intuitively to the formation of cycloidal path into
Row observation, more can make student understand the characteristic of cycloid, and then improve the quality of instruction of teacher.
The optimization method 2. a kind of mathematical model of the present invention is imparted knowledge to students, the demonstration teaching aid in this method in No.1 by rolling
On wheel be arranged No.1 step surface, No. two step surfaces on the upper end face of rack gear, be arranged No.1 idler wheel on No.1 step surface with
No. two step face contacts on rack gear ensure that No.1 idler wheel is rolled in plane, avoid and roll wheel and rack by No.1
The center of No.1 idler wheel caused by engaging is shaken up and down, and then leads to the error of cycloidal path, is generated to student inclined on understanding
Difference, and then influence quality of instruction.
The optimization method 3. a kind of mathematical model of the present invention is imparted knowledge to students, the demonstration teaching aid in this method pass through in sliding shoe
On cylindrical hole inner wall on uniformly inlay one group of magnet, drive sleeve is rotatablely connected in the cylindrical hole of sliding shoe, is being passed
One end of dynamic hollow shaft is fixedly connected with rotary cutter, and the other end of drive sleeve passes through the engaging tooth and synchronous belt on cylindrical surface
Realize transmission, the gear teeth that the lower end of synchronous belt passes through on fixed gear realize intermeshing, and fixed gear is fixedly connected on movement
The upper end of bracket, drive sleeve is interior to be rotatablely connected fixing sleeve, one group of magnet is uniformly inlayed on the cylindrical surface of fixing sleeve, in turn
It realizes that rotary cutter eliminates the end of chalk, guarantees that chalk is drawn in turn with thinner end and be more clear accurate pendulum
Line tracking further improves the accuracy of demonstration, and then improves the quality of instruction of teacher.
Detailed description of the invention
The present invention will be further explained below with reference to the attached drawings.
Fig. 1 is the flow chart of method of the invention；
Fig. 2 is the main view of demonstration teaching aid in the present invention；
Fig. 3 is the cross-sectional view in Fig. 2 at A-A；
Fig. 4 is the enlarged drawing in Fig. 2 at B；
Fig. 5 is the enlarged drawing in Fig. 3 at C；
In figure: 23, No. two No.1 idler wheel 1, No.1 step surface 11, rack gear 2, limited block 21, support plate 22, sucker step surfaces
24, sliding shoe 25, stripper plate 26, mobile 3, No. two idler wheels 31 of bracket, fixed module 4, rotary cutter 41, drive sleeve 42,
Fixing sleeve 43, magnet 44, cover board 45, synchronous belt 46, fixed gear 47, tensioning wheel 48, cutting ferrule 51, taper buckle 511, annular gas
Capsule 52.
Specific embodiment
In order to be easy to understand the technical means, the creative features, the aims and the efficiencies achieved by the present invention, tie below
Specific embodiment is closed, the present invention is further explained.
As shown in Figures 1 to 5, a kind of mathematical model teaching optimization method of the present invention, this method include following step
It is rapid:
Step 1: demonstration teaching aid is mounted on blackboard；
Step 2: the principle pattern of mathematical model is painted on blackboard by the demonstration teaching aid of step 1, facilitates student
Understanding to mathematical model；
Step 3: the pattern for the principle being presented on blackboard in step 2 is acquired by acquisition module, is prevented because of student
It erases the board after class, results in the need for teacher and paint again, so that delaying a large amount of instructional blocks of time；
Step 4: the pattern data acquired in step 3 is stored in the memory module of control centre, to teaching data
It is achieved, is learnt after making teaching notes and students in class for teacher；
Step 5: the control centre in step 4 will listen on the projector of pattern synchronous transfer to self-study classroom or for teacher
On the projector of class, facilitate student also can be carried out review when reviewing one's lessons, and then provide comfortable study ring to student
Border；Prepare independent environment exclusively for mutually listening to the teacher between teacher, prevent because teacher listens to the teacher and affects the quality of listening to the teacher of student,
Teacher will not worry to influence student and cannot mutually discuss simultaneously, and then improve the product of mutual exchange study between teacher
Matter；
Step 6: Faculty and Students download to the pattern stored in step 4 on respective terminal device, facilitate teacher
Mode, the method for teaching are carried out perfect, further increases quality of instruction, student can carry out after class mathematical model and answer
It practises, further deepens the impression；
Wherein, the demonstration teaching aid includes No.1 idler wheel 1, rack gear 2, limited block 21, and the No.1 idler wheel 1 passes through the gear teeth
It is engaged on rack gear 2 and rolls；The both ends of the rack gear 2 are respectively fixedly connected with limited block 21；It further include mobile bracket 3, two rollings
31, support plate 22, sucker 23, fixed module 4 are taken turns, the lower section of the rack gear 2 is equipped with one group of support plate 22；In the support plate 22
End is fixedly connected on the rear surface of rack gear 2, and one group of sucker 23 is fixedly connected in support plate 22；The No.1 idler wheel 1 rotates
It is connected to the upper end of mobile bracket 3；The lower end of the mobile bracket 3 is symmetrical set two No. two idler wheels 31；Described No. two
Idler wheel 31 is rotatably connected on the lower end of mobile bracket 3, and step surface of No. two idler wheels 31 along 2 side of rack gear rolls；The No.1 rolling
Wheel 1 is equipped with fixed module 4；The fixed module 4 is for fixing chalk；In use, the sucker 23 in support plate 22 is attached to
It is firmly pressed on blackboard, rack gear 2 is fixedly connected on blackboard surface by the sucker 23 of lower section, and mobile bracket 3 is moved to rack gear 2
One end, then chalk is fixed on No.1 idler wheel 1 by the fixed module 4 on No.1 idler wheel 1, it is moved with hand push and moves bracket 3, one
Number idler wheel 1 is rolled along 2 upper end face of rack gear, while the chalk on No.1 idler wheel 1 draws the track of cycloid on blackboard, the teaching aid
It is easy to remove and installation, flexibility is big, facilitate teacher at school when carrying, by intuitively being seen to the formation of cycloidal path
It examines, more student can be made to understand the characteristic of cycloid, and then improve the quality of instruction of teacher.
As a kind of embodiment of the invention, No.1 step surface 11 is set, on No.1 idler wheel 1 on the No.1 idler wheel 1
No.1 step surface 11 be cylindrical surface；No. two step surfaces 24 on the upper end face of the rack gear 2, No. two step surfaces on rack gear 2
24 be plane；No.1 step surface 11 on the No.1 idler wheel 1 is contacted with No. two step surfaces 24 on rack gear 2；In use, passing through
No.1 step surface 11 on No.1 idler wheel 1 rolls on No. two step surfaces 24 on rack gear 2, ensure that No.1 idler wheel 1 is along flat
It is rolled on face, the center for avoiding No.1 idler wheel 1 caused by engaging by No.1 idler wheel 1 with rack gear 2 is shaken up and down, and then is caused
The error of cycloidal path generates the deviation on understanding to student, and then influences quality of instruction.
As a kind of embodiment of the invention, the fixed module 4 is slidably mounted on No.1 idler wheel 1 by sliding shoe 25
On；The sliding shoe 25 is slidably mounted in the sliding slot on No.1 idler wheel 1, one group of V-type groove of side setting of sliding shoe 25, and one
Sliding slot on number idler wheel 1 is disposed radially, and stripper plate 26 is arranged in the sliding slot side on No.1 idler wheel 1；The one of the stripper plate 26
One group of V-type protrusion is arranged in side, and the V-type protrusion on stripper plate 26 is bonded with the V-type groove on sliding shoe 25, stripper plate 26 it is another
Side is connected by the side of spring and sliding slot；In use, being adjusted by can be realized after compression stripper plate 26 to sliding shoe 25
Section, and then realize and draw different size of cycloid on blackboard, and then can be used in observing the variation between different size cycloid
Rule, convenient for further studying the characteristic of cycloid, assisted teacher completes teaching.
As a kind of embodiment of the invention, the fixed module 4 includes rotary cutter 41, drive sleeve 42, consolidates
Surely 43, magnet 44, cover board 45, spring, synchronous belt 46, fixed gear 47, tensioning wheel 48 are covered, the cylinder on the sliding shoe 25 is logical
One group of magnet 44 is uniformly inlayed on the inner wall of hole, is rotatablely connected drive sleeve 42 in the cylindrical hole of sliding shoe 25；The transmission
Hollow shaft 42 is un-conducted magnetic material, and one end of drive sleeve 42 is fixedly connected with rotary cutter 41, drive sleeve 42 it is another
It is realized and is driven with synchronous belt 46 by the engaging tooth on cylindrical surface in end；The lower end of the synchronous belt 46 passes through on fixed gear 47
The gear teeth realize intermeshing, and synchronous belt 46 is equipped with tensioning wheel 48；The tensioning wheel 48 is fixedly connected on No.1 rolling by spring
On wheel 1；The fixed gear 47 is fixedly connected on the upper end of mobile bracket 3；Rotation connection is fixed in the drive sleeve 42
Set 43；One group of magnet 44 is uniformly inlayed on the cylindrical surface of the fixing sleeve 43, on the magnet 44 on fixing sleeve 43 and sliding shoe 25
44 quantity of magnet it is identical, one end of fixing sleeve 43 passes through one group of spring connecting cover plate 45；In use, when No.1 idler wheel 1 is along tooth
When 2 upper surface of item rolls, the drive sleeve 42 on No.1 idler wheel 1 is rotated around the rotary shaft of No.1 idler wheel 1, further through synchronous belt
46 drive drive sleeve 42 to realize rotation, and then drive sleeve 42 drives the rotary cutter 41 of end to rotate；Chalk one end
It is against on rotary cutter 41, the other end of chalk is against on cover board 45, and because of the magnet 44 and sliding shoe 25 on fixing sleeve 43
On magnet 44 attraction, realize that fixing sleeve 43 does not rotate, and then the fixation of chalk is realized by spring and cover board 45, in turn
It realizes that rotary cutter 41 eliminates the end of chalk, guarantees that chalk is drawn in turn with thinner end and be more clear accurately
Cycloidal path further improves the accuracy of demonstration, and then improves the quality of instruction of teacher.
As a kind of embodiment of the invention, the side of the cover board 45 is fixedly connected with one end of cutting ferrule 51；The card
51 sets of one end in chalk are covered, the taper buckle 511 on 51 cylindrical surface of cutting ferrule is contacted with the inner hole edge of fixing sleeve 43；It uses
When, one end of chalk is pressed in fixing sleeve 43 by cutting ferrule 51, on the one hand guarantees that chalk is not when rotary cutter 41 cuts chalk
It can be rotated relative to fixing sleeve 43, and then guarantee that rotary cutter 41 effectively cuts chalk, on the other hand guarantee chalk
It will not be swung when drawing cycloidal path, and then ensure that the accuracy of cycloidal path, further improve the accuracy of demonstration.
As a kind of embodiment of the invention, between the taper buckle 511 of the cutting ferrule 51 and the cylindrical surface of cutting ferrule 51
Equipped with annular air-pocket 52；In use, it is equipped with annular air-pocket 52 between the taper buckle 511 of cutting ferrule 51 and the cylindrical surface of cutting ferrule 51,
On the one hand it ensure that the deflection of the taper buckle 511 on cutting ferrule 51, and then cutting ferrule 51 facilitated to enter in the inner hole of fixing sleeve 43,
On the other hand it ensure that the taper buckle 511 on cutting ferrule 51 can still be sprung back after constantly being compressed for a long time, and then improve
The service life of cutting ferrule 51.
It is firmly pressed in use, the sucker 23 in support plate 22 is attached on blackboard, rack gear 2 is solid by the sucker 23 of lower section
Surely it is connected to blackboard surface, mobile bracket 3 is moved to 2 one end of rack gear, then by the fixed module 4 on No.1 idler wheel 1 by powder
Pen is fixed on No.1 idler wheel 1, and with the dynamic mobile bracket 3 of hand push, No.1 idler wheel 1 is rolled along 2 upper end face of rack gear, while No.1 is rolled
Chalk on wheel 1 draws the track of cycloid on blackboard, and the teaching aid is easy to remove and installs, and flexibility is big, facilitates teacher upper
Class hour carries, and by intuitively observing the formation of cycloidal path, more student can be made to understand the characteristic of cycloid, into
And improve the quality of instruction of teacher；Drive sleeve when No.1 idler wheel 1 is rolled along 2 upper surface of rack gear, on No.1 idler wheel 1
42 around No.1 idler wheel 1 rotary shaft rotate, further through synchronous belt 46 drive drive sleeve 42 realize rotation, and then be driven it is hollow
Axis 42 drives the rotary cutter 41 of end to rotate；Chalk one end is against on rotary cutter 41, and the other end of chalk is against cover board 45
On, and because of the attraction of the magnet 44 on the magnet 44 and sliding shoe 25 on fixing sleeve 43, realize that fixing sleeve 43 does not rotate, into
And the fixation to chalk is realized by the cutting ferrule 51 on spring and cover board 45, and then realize rotary cutter 41 to the end of chalk into
Row eliminates, and guarantees that chalk is drawn in turn with thinner end and is more clear accurate cycloidal path, further improves demonstration
Accuracy, and then improve the quality of instruction of teacher.
The basic principles, main features and advantages of the invention have been shown and described above.The technical staff of the industry should
Understand, the present invention is not limited to the above embodiments, and the above embodiments and description only describe originals of the invention
Reason, without departing from the spirit and scope of the present invention, various changes and improvements may be made to the invention, these changes and improvements
It all fall within the protetion scope of the claimed invention.The claimed scope of the invention is by appended claims and its equivalent circle
It is fixed.
Claims (6)
- The optimization method 1. a kind of mathematical model is imparted knowledge to students, which is characterized in that this method comprises the following steps:Step 1: demonstration teaching aid is mounted on blackboard；Step 2: the principle pattern of mathematical model is painted on blackboard by the demonstration teaching aid of step 1；Step 3: the pattern for the principle being presented on blackboard in step 2 is acquired by acquisition module；Step 4: the pattern data acquired in step 3 is stored in the memory module of control centre；Step 5: control centre in step 4 will listen to the teacher on the projector of pattern synchronous transfer to self-study classroom or for teacher On projector；Step 6: Faculty and Students download to the pattern stored in step 4 on respective terminal device；Wherein, the demonstration teaching aid includes No.1 idler wheel (1), rack gear (2), limited block (21), and the No.1 idler wheel (1) passes through Gear teeth meshing rolls on rack gear (2)；The both ends of the rack gear (2) are respectively fixedly connected with limited block (21)；It further include mobile branch The lower section of frame (3), No. two idler wheels (31), support plate (22), sucker (23), fixed module (4), the rack gear (2) is equipped with one group Support plate (22)；Support plate (22) upper end is fixedly connected on the rear surface of rack gear (2), fixed in support plate (22) to connect Connect one group of sucker (23)；The No.1 idler wheel (1) is rotatably connected on the upper end of mobile bracket (3)；Under the mobile bracket (3) End is symmetrical set two No. two idler wheels (31)；No. two idler wheels (31) are rotatably connected on the lower end of mobile bracket (3), and two The step surface of number idler wheel (31) along rack gear (2) side rolls；The No.1 idler wheel (1) is equipped with fixed module (4)；The fixation Module (4) is for fixing chalk.
- The optimization method 2. a kind of mathematical model according to claim 1 is imparted knowledge to students, it is characterised in that: the No.1 idler wheel (1) Upper setting No.1 step surface (11), the No.1 step surface (11) on No.1 idler wheel (1) are cylindrical surface；The upper end of the rack gear (2) No. two step surfaces (24) on surface, No. two step surfaces (24) on rack gear (2) are plane；No.1 on the No.1 idler wheel (1) Step surface (11) is contacted with No. two step surfaces (24) on rack gear (2).
- The optimization method 3. a kind of mathematical model according to claim 2 is imparted knowledge to students, it is characterised in that: the fixed module (4) It is slidably mounted on No.1 idler wheel (1) by sliding shoe (25)；The sliding shoe (25) is slidably mounted on No.1 idler wheel (1) In sliding slot, one group of V-type groove is arranged in the side of sliding shoe (25), and the sliding slot on No.1 idler wheel (1) is disposed radially, No.1 idler wheel (1) stripper plate (26) are arranged in the sliding slot side on；One group of V-type protrusion, stripper plate (26) is arranged in the side of the stripper plate (26) On V-type protrusion be bonded with the V-type groove on sliding shoe (25), the other side of stripper plate (26) passes through the side of spring and sliding slot Connection.
- The optimization method 4. a kind of mathematical model according to claim 3 is imparted knowledge to students, it is characterised in that: the fixed module (4) Including rotary cutter (41), drive sleeve (42), fixing sleeve (43), magnet (44), cover board (45), spring, synchronous belt (46), Gear (47), tensioning wheel (48) are fixed, uniformly inlay one group of magnet (44) on the cylindrical hole inner wall on the sliding shoe (25), Drive sleeve (42) are rotatablely connected in the cylindrical hole of sliding shoe (25)；The drive sleeve (42) is un-conducted magnetic material, One end of drive sleeve (42) is fixedly connected rotary cutter (41), and the other end of drive sleeve (42) passes through on cylindrical surface Engaging tooth and synchronous belt (46), which are realized, to be driven；The lower end of the synchronous belt (46) passes through the gear teeth on fixed gear (47) and realizes phase Mutually engagement, synchronous belt (46) are equipped with tensioning wheel (48)；The tensioning wheel (48) is fixedly connected on No.1 idler wheel (1) by spring On；The fixed gear (47) is fixedly connected on the upper end of mobile bracket (3)；Rotation connection is solid in the drive sleeve (42) Fixed set (43)；One group of magnet (44), the magnet (44) on fixing sleeve (43) are uniformly inlayed on the cylindrical surface of the fixing sleeve (43) Identical as magnet (44) quantity on sliding shoe (25), one end of fixing sleeve (43) passes through one group of spring connecting cover plate (45).
- The optimization method 5. a kind of mathematical model according to claim 4 is imparted knowledge to students, it is characterised in that: the one of the cover board (45) Side is fixedly connected with one end of cutting ferrule (51)；The cutting ferrule (51) covers the conic clamp on one end of chalk, cutting ferrule (51) cylindrical surface Button (511) is contacted with the inner hole edge of fixing sleeve (43).
- The optimization method 6. a kind of mathematical model according to claim 5 is imparted knowledge to students, it is characterised in that: the cone of the cutting ferrule (51) Shape buckles and is equipped with annular air-pocket (52) between (511) and the cylindrical surface of cutting ferrule (51).
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