CN109147497B - Higher mathematics curved surface demonstration teaching aid and control circuit thereof - Google Patents
Higher mathematics curved surface demonstration teaching aid and control circuit thereof Download PDFInfo
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- CN109147497B CN109147497B CN201811107750.3A CN201811107750A CN109147497B CN 109147497 B CN109147497 B CN 109147497B CN 201811107750 A CN201811107750 A CN 201811107750A CN 109147497 B CN109147497 B CN 109147497B
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Abstract
The invention belongs to the technical field of curve surface demonstration teaching aids, in particular to a higher mathematics curve surface demonstration teaching aid and a control circuit thereof, wherein the higher mathematics curve surface demonstration teaching aid comprises two supporting pieces, and each supporting piece comprises a base, an upright post, a fixed rod, a fixed column, a supporting ring and a supporting plate; the top of the base is fixedly provided with an upright post, the upper ends of the upright posts of the two supporting pieces are connected through a fixed rod, and one side of the upper end of the upright post is fixedly connected with a fixed column; the fixed column outer lane is equipped with the support ring, and the support ring bottom is equipped with the backup pad, and backup pad fixed mounting is in stand one side, and the support ring sets up with the fixed column is concentric, encloses into the ring channel between support ring and the fixed column, is equipped with the expansion module in two relative ring channels. The supporting frames are unfolded one by one along the annular grooves by the driving disc, the rubber skin outside the unfolded supporting frames is unfolded to form an ellipse, the forming process of the ellipsoid can be demonstrated, deep impression is given to students through visual demonstration of the teaching aid, and the learning interest of the students is improved.
Description
Technical Field
The invention belongs to the technical field of surface demonstration teaching aids, and particularly relates to a higher mathematics surface demonstration teaching aid and a control circuit thereof.
Background
The curved surface is a moving line and is a track which continuously moves in space under a given condition. Nine quadric surfaces are adopted, and a spatial rectangular coordinate system is properly selected to obtain standard equations of the nine quadric surfaces, wherein no special teaching aid is provided for an ellipsoid and an elliptic paraboloid in a classroom, and the knowledge of the part is very abstract, so that inconvenience is brought to the explanation of the knowledge of the part.
Also some technical scheme of curved surface demonstration teaching aid have appeared among the prior art, chinese patent that application number is 2013204413004 discloses a dedicated multi-functional curved surface demonstration teaching aid of higher mathematics, including chassis, compression dish, screw rod, nut, first ring and second ring, parallel arrangement about compression dish and the chassis, the vertical middle part of wearing to establish at compression dish and chassis of screw rod, the rotatable alternately setting of first ring and second ring is on the screw rod in the middle of compression dish and chassis, the nut is twisted soon on the screw rod of compression dish upper end, the structure of first ring and second ring is the same.
The technical scheme can make students clear how the ellipsoid is obtained, but the scheme cannot demonstrate the mechanism of forming the ellipsoid as a revolution body and can not make the students fully understand the relationship between the key elements influencing the formation of the elliptic spherical surface and the shape of the formed elliptic spherical surface.
Disclosure of Invention
In order to make up for the defects of the prior art, the invention provides the higher mathematics curved surface demonstration teaching aid and the control circuit thereof, the stepping motor is used for controlling the driving disc to rotate, the driving disc enables the supporting frames to be unfolded one by one along the annular groove, the unfolded supporting frames form an oval supporting framework, the rubber skin outside the framework is unfolded to form an oval shape, the forming process of an ellipsoid surface can be demonstrated, the teaching aid can be used for visually demonstrating, deep impression is left for students, the learning interest of the students is improved, and the learning effect is good.
The technical scheme adopted by the invention for solving the technical problems is as follows: the invention discloses a higher mathematics curved surface demonstration teaching aid which comprises two supporting pieces, wherein each supporting piece comprises a base, an upright post, a fixed rod, a fixed column, a supporting ring and a supporting plate; the top of the base is fixedly provided with an upright post, the upper ends of the upright posts of the two supporting pieces are connected through a fixed rod, and one side of the upper end of the upright post is fixedly connected with a fixed column; the outer ring of the fixed column is provided with a support ring, the bottom of the support ring is provided with a support plate, the support plate is fixedly arranged on one side of the upright column, the support ring and the fixed column are concentrically arranged, annular grooves are defined by the support ring and the fixed column, two opposite annular grooves are internally provided with expansion modules, wherein,
the unfolding module comprises a group of support frames, at least six support frames are arranged, rubber skins are arranged on the outer sides of the group of support frames, and each support frame comprises a first sliding block, a second sliding block, a support rod and an arc-shaped elastic sheet; a first sliding block is arranged in one annular groove in a sliding mode, a second sliding block is arranged in the other opposite annular groove in a sliding mode, one end of the arc-shaped elastic sheet is connected with the first sliding block, the other end of the arc-shaped elastic sheet is connected with the second sliding block, one end of the supporting rod is connected with the first sliding block, and the other end of the supporting rod is connected with the second sliding block; the supporting frame at the lowest position in the group of supporting frames is fixedly connected with the fixing column, the rest supporting frames can slide along the annular groove, a driving disc is fixedly installed on the side edge of the second sliding block of the supporting frame at the uppermost position, the driving disc rotates to be used for controlling the supporting frames to slide along the annular groove, and the rubber skin on the outer side of the expanded group of supporting frames forms an elliptical spherical surface after being extended. The during operation, through rotating the driving-disc, the driving-disc makes the support frame expand one by one along the ring channel, and an oval-shaped supporting framework is constituteed to the support frame after the expansion, and the rubber skin of skeleton outside prolongs the expansion, forms an ellipse, can demonstrate the formation process of ellipsoid, through the demonstration directly perceived of teaching aid, has left the impression profound for the student, improves student's interest in learning, and the learning effect is good.
Preferably, the bottom of one of the support rings is fixedly connected with a moving block, the moving block is slidably mounted on the support plate, the moving block is driven by a lead screw to slide left and right, and the support rod comprises a first support rod and a second support rod; one end of the first supporting rod is connected with the first sliding block, a cylindrical hole is formed in the other end of the first supporting rod, one end of the second supporting rod is inserted into the cylindrical hole and is in sliding connection with the first supporting rod, and the other end of the second supporting rod is connected with the second sliding block. The lead screw is rotated to enable the moving block to move, so that the distance between the two support rings is adjusted, the two support rings are correspondingly arched or retracted, the support frames after expansion form elliptical balls with different shapes, students can understand the elements formed by the elliptical spherical surfaces conveniently, deep impressions are left for the students through visual demonstration of the teaching aid, the learning interest of the students is improved, and the learning effect is good.
Preferably, tooth grooves are formed in the side edges of the second supporting rods, gears are arranged in the middle of the first supporting rods and are meshed with the tooth grooves, oscillating plates installed along the radial direction of the gears are arranged on the outer rings of the gears, and the ends of the oscillating plates are in sliding contact with the inner arc surfaces of the arc-shaped elastic pieces. When the moving block position is adjusted, the arc-shaped elastic piece is unidirectionally compressed, so that the arc-shaped elastic piece is not uniformly deformed, and the arc-shaped elastic piece is supported by arranging the swinging plate on the first supporting rod, so that the arc-shaped elastic piece is more uniformly deformed, and the demonstration of the elliptic spherical surface is more accurate.
Preferably, a group of arc-shaped air bags are uniformly arranged on the inner ring of the support ring on one side of the drive disc, a micro cylinder is arranged between every two adjacent first sliding blocks, the micro cylinder supplies air through the arc-shaped air bags, and the micro cylinder is used for adjusting the distance between every two adjacent first sliding blocks. The second slider slides and extrudees the arc gasbag, and gas in the arc gasbag passes through pipe connection to miniature cylinder on, and the removal of supplementary first slider avoids only a driving-disc rotation, causes the card of first slider to pause, improves the flexibility of teaching aid.
Preferably, a group of supporting air pipes are arranged between every two adjacent arc-shaped elastic sheets, the supporting air pipes are arc-shaped and concentric with the supporting rings, and the supporting air pipes supply air through arc-shaped air bags. Some gas that the arc gasbag produced lets in and supports the trachea, supports the trachea and connects two adjacent arc shell fragments, forms vertically and horizontally staggered's net, supports elastic skin for the surperficial level and smooth of elliptical ball, the elliptical ball that forms is more accurate image, has left dark impression for the student, improves student's interest in learning, and learning effect is good.
The utility model provides a control circuit of higher mathematics curved surface demonstration teaching aid, includes power, singlechip, impulse generator and the step motor who establishes ties in proper order, and the power is connected in the singlechip and for it provides electric power, and singlechip control impulse generator produces pulse signal, and pulse signal is used for driving step motor and rotates, step motor is four-phase eight claps step motor, and the step angle is 0.75, step motor connects in the driving-disc and is used for controlling the driving-disc rotation. Through step motor control driving-disc rotation, the driving-disc is with one step of one step operation of fixed angle, can audio-visually show various shapes such as semi-elliptic ball, and control accuracy is high, and the student of being convenient for understands the key element that the oval sphere formed, through the demonstration directly perceived of teaching aid, has left the impression of depth for the student, improves student's interest in learning, and learning effect is good.
The invention has the following beneficial effects:
1. the stepping motor is used for controlling the driving disc to rotate, the driving disc enables the supporting frames to be unfolded one by one along the annular groove, the unfolded supporting frames form an oval supporting framework, the rubber skin outside the framework is unfolded to form an oval shape, the forming process of the ellipsoid can be demonstrated, deep impression is left on students through visual demonstration of the teaching aid, the learning interest of the students is improved, and the learning effect is good.
2. According to the invention, the distance between the two support rings is adjusted by rotating the screw rod to move the moving block, and the two support rings are correspondingly arched or retracted, so that the unfolded support frame forms elliptical balls with different shapes, thus facilitating students to understand the elements formed by the elliptical spherical surfaces, and through the visual demonstration of the teaching aid, the students are provided with profound impressions, the learning interest of the students is improved, and the learning effect is good.
3. According to the invention, the oscillating plate is arranged, when the position of the moving block is adjusted, the arc-shaped elastic sheet is unidirectionally compressed, so that the arc-shaped elastic sheet is not uniformly deformed, and the oscillating plate is arranged on the first supporting rod to support the arc-shaped elastic sheet, so that the arc-shaped elastic sheet is more uniformly deformed, and the more accurate demonstration of the elliptic spherical surface is ensured.
Drawings
The invention will be further explained with reference to the drawings.
FIG. 1 is a front view of the present invention;
FIG. 2 is a cross-sectional view A-A of FIG. 1;
FIG. 3 is a cross-sectional view B-B of FIG. 1;
FIG. 4 is a schematic structural view of the support frame of the present invention;
in the figure: the device comprises a support 1, a base 11, a vertical column 12, a fixing rod 13, a fixing column 14, a support ring 15, a support plate 16, an annular groove 2, a deployment module 3, a first sliding block 41, a second sliding block 42, a support rod 43, a first support rod 431, a second support rod 432, an arc-shaped elastic sheet 44, a driving disc 45, a moving block 5, a gear 6, a swinging plate 61, an arc-shaped air bag 7 and a micro-cylinder 8.
Detailed Description
In order to make the technical means, the creation characteristics, the achievement purposes and the effects of the invention easy to understand, the invention is further described with the specific embodiments.
As shown in fig. 1 to 4, the higher mathematics curve demonstration teaching aid of the invention comprises two supporting pieces 1, wherein each supporting piece 1 comprises a base 11, an upright post 12, a fixing rod 13, a fixing column 14, a supporting ring 15 and a supporting plate 16; the top of the base 11 is fixedly provided with an upright post 12, the upper ends of the upright posts 12 of the two supporting pieces 1 are connected through a fixed rod 13, and one side of the upper end of the upright post 12 is fixedly connected with a fixed post 14; a support ring 15 is arranged on the outer ring of the fixed column 14, a support plate 16 is arranged at the bottom of the support ring 15, the support plate 16 is fixedly arranged on one side of the upright post 12, the support ring 15 and the fixed column 14 are arranged concentrically, annular grooves 2 are defined by the support ring 15 and the fixed column 14, expansion modules 3 are arranged in the two opposite annular grooves 2, wherein,
the unfolding module 3 comprises a group of at least six support frames, rubber skins are arranged on the outer sides of the group of support frames, and each support frame comprises a first sliding block 41, a second sliding block 42, a support rod 43 and an arc-shaped elastic sheet 44; a first sliding block 41 is arranged in one annular groove 2 in a sliding manner, a second sliding block 42 is arranged in the other opposite annular groove 2 in a sliding manner, one end of an arc-shaped elastic sheet 44 is connected with the first sliding block 41, the other end of the arc-shaped elastic sheet 44 is connected with the second sliding block 42, one end of a supporting rod 43 is connected with the first sliding block 41, and the other end of the supporting rod 43 is connected with the second sliding block 42; the lowermost support frame in a group of support frames is fixedly connected with the fixed column 14, the rest support frames can slide along the annular groove 2, a driving disc 45 is fixedly installed on the side edge of the second sliding block 42 of the uppermost support frame, the driving disc 45 rotates to control the support frames to slide along the annular groove 2, and the rubber skin on the outer side of the unfolded group of support frames forms an elliptical spherical surface after extending. The during operation, through rotating driving-disc 45, driving-disc 45 makes the support frame expand one by one along ring channel 2, and an oval-shaped support skeleton is constituteed to the support frame after the expansion, and the rubber skin of skeleton outside prolongs the expansion, forms an ellipse, can demonstrate the formation process of ellipsoid, through the audio-visual demonstration of teaching aid, has left the impression of depth for the student, improves student's interest in learning, and the learning effect is good.
As an embodiment of the present invention, a moving block 5 is fixedly connected to the bottom of one support ring 15, the moving block 5 is slidably mounted on a support plate 16, the moving block 5 is driven by a lead screw to slide left and right, and the support rod 43 comprises a first support rod 431 and a second support rod 432; one end of the first support rod 431 is connected with the first sliding block 41, the other end of the first support rod 431 is provided with a cylindrical hole, one end of the second support rod 432 is inserted into the cylindrical hole and is in sliding connection with the first support rod 431, and the other end of the second support rod 432 is connected with the second sliding block 42. The lead screw is rotated to enable the moving block 5 to move, so that the distance between the two support rings 15 is adjusted, the two support rings 15 are correspondingly arched or retracted, the support frames after expansion form elliptical balls with different shapes, students can understand the elements formed by the elliptical spherical surfaces conveniently, deep impressions are left for the students through visual demonstration of the teaching aid, the learning interest of the students is improved, and the learning effect is good.
As an embodiment of the present invention, a tooth groove is formed at a side of the second support rod 432, a gear 6 is arranged at a middle of the first support rod 431, the gear 6 is engaged with the tooth groove, a swing plate 61 installed along a radial direction of the gear 6 is arranged at an outer ring of the gear 6, and an end of the swing plate 61 is in sliding contact with an inner arc surface of the arc-shaped elastic sheet 44. When adjusting the position of the moving block 5, because the arc-shaped elastic sheet 44 is unidirectionally compressed, the deformation of the arc-shaped elastic sheet 44 is uneven, and the arc-shaped elastic sheet 44 is supported by the swinging plate 61 arranged on the first supporting rod 431, so that the deformation of the arc-shaped elastic sheet 44 is more even, and the demonstrated elliptical spherical surface is more accurate.
As an embodiment of the invention, a group of arc-shaped air bags 7 are uniformly arranged on the inner ring of the support ring 15 on one side of the drive disk 45, a micro air cylinder 8 is arranged between two adjacent first sliding blocks 41, the micro air cylinder 8 supplies air through the arc-shaped air bags 7, and the micro air cylinder 8 is used for adjusting the distance between two adjacent first sliding blocks 41. Second slider 42 slides and extrudes arc gasbag 7, and gas in the arc gasbag 7 passes through pipe connection to miniature cylinder 8 on, supplementary first slider 41's removal avoids only a driving-disc 45 rotatory, causes the card of first slider 41 to pause, improves the flexibility of teaching aid.
As an embodiment of the present invention, a set of supporting air tubes is disposed between two adjacent arc-shaped elastic pieces 44, the supporting air tubes are arc-shaped and concentric with the supporting ring 15, and the supporting air tubes supply air through the arc-shaped air bags 7. Some gas that arc gasbag 7 produced lets in and supports the trachea, supports the trachea and connects two adjacent arc shell fragment 44, forms vertically and horizontally staggered's net, supports elastic skin for the surperficial smoothness of elliptical ball, the elliptical ball that forms is more accurate image, has left dark impression for the student, improves student's interest in learning, and learning effect is good.
The utility model provides a control circuit of higher mathematics curved surface demonstration teaching aid, includes power, singlechip, impulse generator and the step motor who establishes ties in proper order, and the power is connected in the singlechip and for it provides electric power, and singlechip control impulse generator produces pulse signal, and pulse signal is used for driving step motor and rotates, step motor is four-phase eight claps step motor, and the step angle is 0.75, step motor connects in driving-disc 45 and is used for controlling driving-disc 45 rotatory. The stepping motor controls the driving disc 45 to rotate, the driving disc 45 runs step by step at a fixed angle, various shapes such as a semi-elliptical sphere can be visually displayed, the control precision is high, students can conveniently understand the elements formed by the elliptical sphere, deep impression is left for the students through visual demonstration of the teaching aid, the learning interest of the students is improved, the learning effect is good,
when the device works, the driving disc 45 is controlled to rotate through the stepping motor, the supporting frames are unfolded one by one along the annular groove 2 through the driving disc 45, the unfolded supporting frames form an oval supporting framework, the rubber skin outside the framework is unfolded to form an oval shape, the forming process of an ellipsoid can be demonstrated, deep impression is left on students through visual demonstration of a teaching aid, the learning interest of the students is improved, and the learning effect is good;
furthermore, the distance between the two support rings 15 is adjusted by rotating the lead screw to move the moving block 5, and the two support rings 15 are correspondingly arched or retracted, so that the unfolded support frame forms elliptical spheres with different shapes, students can conveniently understand elements formed by the elliptical sphere, deep impressions are left for the students through visual demonstration of the teaching aid, the learning interest of the students is improved, and the learning effect is good;
when adjusting the position of the moving block 5, because the arc-shaped elastic sheet 44 is unidirectionally compressed, the deformation of the arc-shaped elastic sheet 44 is uneven, and the arc-shaped elastic sheet 44 is supported by the swinging plate 61 arranged on the first supporting rod 431, so that the deformation of the arc-shaped elastic sheet 44 is more even, and the demonstrated elliptical spherical surface is more accurate.
While the invention has been described with reference to specific embodiments, it will be understood by those skilled in the art that various changes may be made and equivalents may be substituted without departing from the scope of the invention. In addition, many modifications may be made to adapt a particular situation or material to the teachings of the invention without departing from its scope. Therefore, it is intended that the invention not be limited to the particular embodiment disclosed, but that the invention will include all embodiments falling within the scope of the appended claims.
Claims (6)
1. The utility model provides a higher mathematics curved surface demonstration teaching aid which characterized in that: the device comprises two supporting pieces (1), wherein each supporting piece (1) comprises a base (11), an upright post (12), a fixing rod (13), a fixing column (14), a supporting ring (15) and a supporting plate (16); an upright post (12) is fixedly installed at the top of the base (11), the upper ends of the upright posts (12) of the two supporting pieces (1) are connected through a fixing rod (13), and one side of the upper end of the upright post (12) is fixedly connected with a fixing column (14); a support ring (15) is arranged on the outer ring of the fixing column (14), a support plate (16) is arranged at the bottom of the support ring (15), the support plate (16) is fixedly arranged on one side of the upright column (12), the support ring (15) and the fixing column (14) are concentrically arranged, an annular groove (2) is defined between the support ring (15) and the fixing column (14), expansion modules (3) are arranged in the two opposite annular grooves (2), wherein,
the unfolding module (3) comprises a group of support frames, the number of the support frames is at least six, rubber skins are arranged on the outer sides of the group of support frames, and each support frame comprises a first sliding block (41), a second sliding block (42), a support rod (43) and an arc-shaped elastic sheet (44); a first sliding block (41) is arranged in one annular groove (2) in a sliding mode, a second sliding block (42) is arranged in the other opposite annular groove (2) in a sliding mode, one end of an arc-shaped elastic sheet (44) is connected with the first sliding block (41), the other end of the arc-shaped elastic sheet (44) is connected with the second sliding block (42), one end of a supporting rod (43) is connected with the first sliding block (41), and the other end of the supporting rod (43) is connected with the second sliding block (42); the lowermost support frame in one group of support frames is fixedly connected with the fixed column (14), the rest support frames can slide along the annular groove (2), a driving disc (45) is fixedly installed on the side edge of the second sliding block (42) of the uppermost support frame, the driving disc (45) rotates to control the support frames to slide along the annular groove (2), and rubber skins on the outer sides of the unfolded group of support frames extend to form an oval.
2. The higher mathematics curved surface demonstration teaching aid of claim 1, characterized in that: the bottom of one of the support rings (15) is fixedly connected with a moving block (5), the moving block (5) is installed on the support plate (16) in a sliding mode, the moving block (5) is driven by a lead screw to slide left and right, and the support rod (43) comprises a first support rod (431) and a second support rod (432); one end of the first supporting rod (431) is connected with the first sliding block (41), the other end of the first supporting rod (431) is provided with a cylindrical hole, one end of the second supporting rod (432) is inserted into the cylindrical hole and is in sliding connection with the first supporting rod (431), and the other end of the second supporting rod (432) is connected with the second sliding block (42).
3. The higher mathematics curved surface demonstration teaching aid of claim 2, characterized in that: the side of the second supporting rod (432) is provided with a tooth groove, the middle of the first supporting rod (431) is provided with a gear (6), the gear (6) is meshed with the tooth groove, the outer ring of the gear (6) is provided with a swinging plate (61) which is radially arranged along the gear (6), and the end of the swinging plate (61) is in sliding contact with the inner arc surface of the arc-shaped elastic sheet (44).
4. The higher mathematics curved surface demonstration teaching aid of claim 3, characterized in that: a group of arc-shaped air bags (7) are uniformly arranged on the inner ring of the support ring (15) on one side of the drive disc (45), a micro air cylinder (8) is arranged between two adjacent first sliding blocks (41), the micro air cylinder (8) supplies air through the arc-shaped air bags (7), and the micro air cylinder (8) is used for adjusting the distance between the two adjacent first sliding blocks (41).
5. The higher mathematics curved surface demonstration teaching aid of claim 4, characterized in that: a group of supporting air pipes are arranged between every two adjacent arc-shaped elastic sheets (44), the supporting air pipes are arc-shaped and concentric with the supporting ring (15), and the supporting air pipes supply air through the arc-shaped air bags (7).
6. A control circuit of a higher mathematics curved surface demonstration teaching aid, which is suitable for the higher mathematics curved surface demonstration teaching aid of any one of claims 1-5, and is characterized in that: including power, singlechip, impulse generator and the step motor who establishes ties in proper order, the power is connected in the singlechip and for it provides electric power, and singlechip control impulse generator produces pulse signal, and pulse signal is used for driving step motor and rotates, step motor is four-phase eight-beat step motor, and the step angle is 0.75, step motor connects in driving-disc (45) and is used for controlling driving-disc (45) rotation.
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