CN109192009B - University mathematics parabola demonstration teaching optimization method - Google Patents
University mathematics parabola demonstration teaching optimization method Download PDFInfo
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- CN109192009B CN109192009B CN201811231272.7A CN201811231272A CN109192009B CN 109192009 B CN109192009 B CN 109192009B CN 201811231272 A CN201811231272 A CN 201811231272A CN 109192009 B CN109192009 B CN 109192009B
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Abstract
The invention belongs to the technical field of mathematical teaching, and particularly relates to a college mathematical parabola demonstration teaching optimization method, which comprises the following steps: placing a demonstration device in front of a blackboard in a classroom, and placing a mobile phone for image acquisition in front of the demonstration device; displaying the parabolic tracks of the steel balls at different emission angles to students through a demonstration device; in the process of demonstrating the parabola trajectory, continuously photographing through a mobile phone to acquire the motion position of the steel ball, transmitting a signal to a computer, calculating the speed of the steel ball at each position, and drawing a speed curve; displaying the speed curve and the motion trail of the steel ball through a display screen; the speed curve is decomposed on a display screen through a computer, and the horizontal movement speed and the vertical movement speed are calculated, so that the essence of the parabolic movement is understood. The invention deepens the understanding of students and ensures the teaching quality.
Description
Technical Field
The invention belongs to the technical field of mathematical teaching, and particularly relates to a college mathematical parabola demonstration teaching optimization method.
Background
The locus of points in the plane that are equidistant from the fixed point and the fixed line is called a parabola. At present, teachers are required to explain how the forming process of the parabola is embodied by a mathematical expression when in mathematical teaching, and because the mathematical thinking has specific abstraction and different students have different comprehension, the teachers often learn and are difficult to understand in the teaching process, so that the teaching process is dull and the effect is poor; the parabolic track shown by the experiment only exists at the moment of movement, so that students cannot form long-term visual feeling and the quick analysis of the movement track cannot be realized.
Disclosure of Invention
In order to make up for the defects of the prior art, the invention provides a university mathematics parabola demonstration teaching optimization method. The method is mainly used for solving the problems of difficulty in understanding and insufficient subsequent motion analysis in the process of parabola teaching.
The technical scheme adopted by the invention for solving the technical problems is as follows: the invention relates to a university mathematics parabola demonstration teaching optimization method, which comprises the following steps:
s1: placing a demonstration device in front of a blackboard in a classroom, and placing a mobile phone for image acquisition in front of the demonstration device;
s2: after S1, displaying parabolic tracks of the steel ball at different launching angles to students through a demonstration device, and automatically adjusting the launching angles through the demonstration device to enable the steel ball to move in different parabolic tracks, so that the precision and the efficiency are improved;
s3: in the process of demonstrating parabolic tracks in S2, continuously photographing through a mobile phone to acquire the movement positions of the steel ball, transmitting signals to a computer, calculating the speed of the steel ball at each position, and drawing a speed curve, wherein the computer calculates the distance between points on a picture and then uses the continuous photographing time interval for fixation, so that the speed of the steel ball at each position is analyzed;
s4: displaying the speed curve in the S3 and the movement track of the steel ball through a display screen;
s5: decomposing the speed curve on a display screen through a computer, and calculating the horizontal movement speed and the vertical movement speed so as to understand the essence of the parabolic movement;
the demonstration device adopted in the method comprises a fixed plate, a connecting plate, a rotary table, an emission cylinder, a controller and a computer, wherein the fixed plate is vertically placed, a groove is vertically and upwards formed in the bottom end of the fixed plate and is positioned in the fixed plate, through holes are uniformly formed in the front end face of the fixed plate and are communicated with the groove in the fixed plate, a magnetic switch and an L ED lamp are arranged in the through holes, the magnetic switch is electrically connected with the controller, the controller is connected with the computer, the connecting plate is vertically arranged below the fixed plate, the rotary table is rotatably arranged on the connecting plate through a rotating shaft, the rotary table can rotate in a vertical plane of the connecting plate, the rotary table is positioned below the fixed plate, the emission cylinder is rotatably arranged on the rotary table through a second rotating shaft and is used for throwing out a steel ball, a cylindrical sliding groove is formed in the middle position of the upper end face of the emission cylinder, a steel ball is stored in the cylindrical sliding groove, the emission cylinder is positioned right below the groove of the fixed plate, the diameter of the cylindrical sliding groove of the emission cylinder is the same as the width of the groove of the fixed plate, an emission cylinder, an emission unit is arranged in the groove, the steel ball, the emission cylinder is positioned in the groove of the groove, the horizontal moving track of the second rotating shaft, the second rotating shaft, the emission cylinder is positioned in the opening of the second rotating shaft,
the launching unit comprises a push plate, a spring I, an electromagnet I, a rotating plate, a worm and a motor, wherein the push plate is located in a cylindrical sliding groove of a launching barrel, the push plate is made of ferromagnetic materials, the spring I is located inside the launching barrel and used for providing elastic force to enable the push plate to move upwards along the sliding groove, the electromagnet I is arranged at the bottom of the launching barrel and used for enabling the push plate to move downwards along the sliding groove under the action of magnetic force, the rotating plate is fixedly installed at the bottom end of the launching barrel and is arc-shaped, the curvature center of the rotating plate is overlapped with the center point of an outlet of the sliding groove in the upper end face of the launching barrel, a tooth-shaped structure is arranged on the lower surface of the rotating plate, the worm is horizontally installed on a rotating disc, the worm is located below the rotating plate and meshed with the tooth-shaped structure of the rotating plate, the motor is installed on the rotating disc and used for driving the worm to rotate, the motor is electrically connected with a controller, when a parabola needs to be performed parabola motion demonstration, the electromagnet I breaks, the elastic force action of the spring I pushes the rotating plate upwards along the sliding groove of the launching barrel to push a steel ball out the steel ball, the steel ball after the steel ball is pushed out of the launching barrel, the steel ball is pushed out from a groove, the steel ball enters a groove, the steel ball enters a parabola motion track of a fixing plate, the steel ball is pushed out of the steel ball, the steel ball is pushed out of the steel ball.
The fixed plate is provided with a guide plate at the bottom of the groove, and a bearing plate is horizontally arranged below the fixed plate; the guide plate is positioned on the right side of the launching barrel, the upper surface of the guide plate is in an inclined shape with a high left and a low right, and a discharge hole is vertically formed in the position, close to the right end face, of the guide plate; the receiving plate is positioned on the right side of the launching tube, the right end of the receiving plate is hinged to the connecting plate, the receiving plate is in contact with the guide plate when in a horizontal state, the receiving plate is provided with an inductor below the discharge hole, the position, close to the left end, of the receiving plate is provided with a second electromagnet, the position, corresponding to the second electromagnet, of the guide plate is provided with a first magnet block, a second spring is arranged below the receiving plate, one end of the second spring is connected with the lower surface of the receiving plate, the other end of the second spring is connected with the connecting plate, the second spring is used for enabling the receiving plate to swing downwards, and the receiving plate is connected; one end of the connecting rod is hinged on the bearing plate, and the other end of the connecting rod is hinged with the rotary table; a limiting plate is further arranged on the connecting plate; the limiting plate is used for limiting the downward swinging angle of the bearing plate. The steel ball accomplishes on the parabola motion back whereabouts the guide plate in the recess of fixed plate, because the guide plate is the inclined plane, the steel ball moves the discharge opening position along the guide plate, and fall into from the discharge opening and accept on the board and make the inductor produce the signal, second outage of electro-magnet, under the effect of spring two, accept the board and swing down round the pin joint of right-hand member, the steel ball on accepting the board moves left along accepting the board, it promotes the carousel and rotate clockwise round pivot one through the connecting rod when accepting the board swing, make the launch canister rotate and be close to the left end of accepting the board, the steel ball falls into the launch canister after the left end departure of accepting the board under the action of gravity, the automatic recovery of steel ball has been realized, the existence of limiting plate makes and accepts the board and keeps in same angular position after the swing down, be favorable to the.
And a second magnet block is arranged on the inner side of the upper end part of the launching tube. The second magnet block can generate magnetic attraction to the steel ball flying out of the left end of the bearing plate, so that the steel ball smoothly falls into the launching tube.
The display screen is arranged on the front end face of the fixing plate, is transparent and is electrically connected with the computer, the transparent display screen can enable the light of the lighted L ED lamp to penetrate through the display screen, so that people can visually display the light, meanwhile, the computer displays the motion track of the steel ball on the display screen through electronic signals, enables the parabolic electronic track of multiple experiments after the emission angle is adjusted to be stored on the display screen for a long time, and visual comparison and analysis are facilitated.
The launching tube is provided with an annular electromagnet at the position close to the upper end, a conical spring is sleeved on the launching tube, the size of the upper end of the conical spring is large, the size of the lower end of the conical spring is small, and the conical spring is made of ferromagnetic materials. When the bearing plate swings downwards, the launching tube synchronously rotates to the direction close to the left end of the bearing plate, the annular electromagnet is powered off, the conical spring extends upwards to enlarge the opening, the steel ball entering the conical spring can smoothly fall into the launching tube, the probability that the steel ball enters the launching tube is increased, and the recovery of the steel ball is guaranteed.
An air cylinder is arranged between the limiting plate and the bearing plate; two ends of the cylinder are respectively hinged on the limiting plate and the bearing plate; the air cylinder is connected with the air storage tank through an air pipe. The existence of cylinder can cushion when accepting the board downswing, avoid, it causes the steel ball to drop from accepting the board to accept the board at the excessive speed of motion under the spring action of spring two to accept the board, simultaneously, when accepting the board and carrying the steel ball downswing, compressed air produces compressed air, after accomplishing the recovery of steel ball, compressed air in the gas holder promotes the cylinder motion, and simultaneously, two circular telegrams of electro-magnet make under the thrust of cylinder and the magnetic force effect of two electro-magnets and magnet piece one and accept the board and contact with the guide board again, the experiment of next time is prepared.
The invention has the following beneficial effects:
1. according to the college mathematics parabola demonstration teaching optimization method, the demonstration device is arranged, the parabola motion trail of the steel ball is collected in a continuous photographing mode, the picture is analyzed and calculated through the computer, and the speed curve and the motion trail are displayed through the display screen, so that students can visually understand the parabola motion trail, the speed curve is further analyzed in time, the comprehension of the students is deepened, and the teaching quality is guaranteed.
2. The demonstration device adopted by the invention is characterized in that the launching unit is arranged on the launching tube, the rotating plate with a toothed structure fixed on the launching tube is rotated by utilizing worm and gear transmission, so that the launching tube is driven to rotate around the second rotating shaft, the axis of the second rotating shaft is positioned in the horizontal plane of the end face of the opening end of the launching tube, the position of a steel ball flying out of the launching tube each time is the same, the control on the thrust of the steel ball is realized through the first electromagnet and the first spring, the accurate adjustment is ensured, the control on a single variable is realized, the scientificity of subsequent motion analysis is improved, and the discovery of the motion rule of a parabola is facilitated.
3. According to the demonstration device adopted by the invention, the guide plate and the bearing plate are arranged, so that the emitted steel balls move onto the bearing plate along the guide plate, the bearing plate swings by disconnecting the electromagnet II, and the turntable rotates by utilizing the connecting rod while the bearing plate swings, so that the emission cylinder approaches to the bearing plate, the steel balls on the bearing plate smoothly fall into the emission cylinder, the recovery of the steel balls is realized, and the teaching efficiency is improved.
Drawings
FIG. 1 is a flow chart of a method of the present invention;
FIG. 2 is a front view of the present invention;
FIG. 3 is a left side view of the present invention;
FIG. 4 is an enlarged view of a portion of the invention at A in FIG. 2;
in the figure, a fixed plate 1, a connecting plate 2, a rotary disc 3, an emission barrel 4, a groove 11, a magnetic switch 12, an L ED lamp 13, a first rotating shaft 31, a second rotating shaft 41, a steel ball 5, a sliding groove 42, an emission unit 6, a push plate 61, a first electromagnet 62, a rotating plate 63, a worm 64, a motor 65, a guide plate 14, a bearing plate 15, a discharge hole 141, a second electromagnet 16, a first magnet block 17, a connecting rod 18, a limiting plate 19, a second magnet block 43, a display screen 7, an annular electromagnet 8, a conical spring 9 and a cylinder 10.
Detailed Description
A university mathematical parabola demonstration teaching optimization method according to an embodiment of the present invention will be described below with reference to fig. 1 to 4.
As shown in fig. 1-3, the invention relates to a university mathematics parabola demonstration teaching optimization method, which comprises the following steps:
s1: placing a demonstration device in front of a blackboard in a classroom, and placing a mobile phone for image acquisition in front of the demonstration device;
s2: after S1, displaying parabolic tracks of the steel ball at different launching angles to students through a demonstration device, and automatically adjusting the launching angles through the demonstration device to enable the steel ball to move in different parabolic tracks, so that the precision and the efficiency are improved;
s3: in the process of demonstrating parabolic tracks in S2, continuously photographing through a mobile phone to acquire the movement positions of the steel ball, transmitting signals to a computer, calculating the speed of the steel ball at each position, and drawing a speed curve, wherein the computer calculates the distance between points on a picture and then uses the continuous photographing time interval for fixation, so that the speed of the steel ball at each position is analyzed;
s4: displaying the speed curve in the S3 and the movement track of the steel ball through a display screen;
s5: decomposing the speed curve on a display screen through a computer, and calculating the horizontal movement speed and the vertical movement speed so as to understand the essence of the parabolic movement;
the demonstration device adopted in the method comprises a fixing plate 1, a connecting plate 2, a rotating plate 3, an emission barrel 4, a controller and a computer, wherein the fixing plate 1 is vertically placed, a groove 11 is vertically and upwards formed in the bottom end of the fixing plate 1, the groove 11 is located in the fixing plate 1, through holes are uniformly formed in the front end face of the fixing plate 1 and communicated with the groove 11 in the fixing plate 1, a magnetic switch 12 and an L ED lamp 13 are arranged in the through holes, the magnetic switch 12 is electrically connected with the controller, the controller is connected with the computer, the connecting plate 2 is vertically arranged below the fixing plate 1, the rotating plate 3 is rotatably arranged on the connecting plate 2 through a rotating shaft I31, the rotating plate 3 can rotate in the vertical plane of the connecting plate 2, the rotating plate 3 is located below the fixing plate 1, the emission barrel 4 is rotatably arranged on the rotating plate 3 through a rotating shaft II 41, the emission barrel 4 is used for enabling a steel ball 5 to be discharged, a sliding groove 42 is arranged in the middle position of the upper end face of the emission barrel 4 along the direction of the axis of the rotating plate, a cylindrical sliding groove 4, the cylindrical sliding groove 42 is stored with the steel ball 5, the emission barrel 4 is arranged in the cylindrical sliding groove 11, the cylindrical sliding groove 4, the cylindrical emission barrel 4 is arranged in the sliding groove 41, the sliding groove 4, the sliding groove 41, the cylindrical emission barrel 4, the steel ball 5 is arranged in the cylindrical emission barrel 4, the steel ball 4,
the launching unit 6 comprises a push plate 61, a first spring, a first electromagnet 62, a rotating plate 63, a worm 64 and a motor 65, the push plate 61 is located in a cylindrical sliding groove 42 of a launching tube 4, the push plate 61 is made of ferromagnetic materials, the first spring is located inside the launching tube 4 and used for providing elastic force to enable the push plate 61 to move upwards along the sliding groove 42, the first electromagnet 62 is arranged at the bottom of the launching tube 4 and used for enabling the push plate 61 to move downwards along the sliding groove 42 under the action of magnetic force, the rotating plate 63 is fixedly installed at the bottom end of the launching tube 4 and is arc-shaped, the curvature center of the rotating plate 63 is overlapped with the center point of an outlet of the sliding groove 42 on the upper end face of the launching tube 4, a tooth-shaped structure is arranged on the lower surface of the rotating plate 63, the worm 64 is horizontally installed on a rotating disc 3, the worm 64 is located below the rotating plate 63, the worm 64 is meshed with the tooth-shaped structure of the rotating plate 63, the motor 65 is installed on the rotating disc 3 and used for driving the motor 65 to rotate, the motor 65 is electrically connected with a controller, when a parabola 5 needs to adjust a parabola motion, the parabola 5 is pushed out from a rotating groove 13 of a steel ball cylinder 4 in a steel ball sliding groove 21, the steel ball groove, the steel ball 5, when the steel ball 5 moves horizontally, the steel ball 5 moves horizontally, the steel ball 5, the steel ball moves horizontally, the steel ball moves along the steel ball.
As shown in fig. 2, the fixed plate 1 is provided with a guide plate 14 at the bottom of the groove 11, and a bearing plate 15 is horizontally arranged below the fixed plate 1; the guide plate 14 is positioned on the right side of the launching tube 4, the upper surface of the guide plate 14 is in an inclined shape with a high left and a low right, and a discharge hole 141 is vertically arranged at the position of the guide plate 14 close to the right end surface; the bearing plate 15 is positioned on the right side of the launching tube 4, the right end of the bearing plate 15 is hinged to the connecting plate 2, the bearing plate 15 is in contact with the guide plate 14 when in a horizontal state, an inductor is arranged below the discharging hole 141 of the bearing plate 15, a second electromagnet 16 is arranged at the position, close to the left end, of the bearing plate 15, a first magnet 17 is arranged at the position, corresponding to the second electromagnet 16, on the guide plate 14, a second spring is arranged below the bearing plate 15, one end of the second spring is connected with the lower surface of the bearing plate 15, the other end of the second spring is connected with the connecting plate 2, the second spring is used for enabling the bearing plate 15 to swing downwards, and the bearing plate 15 is connected with the rotary table; one end of the connecting rod 18 is hinged on the bearing plate 15, and the other end of the connecting rod 18 is hinged with the rotary table 3; a limiting plate 19 is further arranged on the connecting plate 2; the limiting plate 19 is used for limiting the downward swinging angle of the bearing plate 15. The steel ball 5 finishes the parabolic motion in the groove 11 of the fixed plate 1 and then falls down onto the guide plate 14, because the guide plate 14 is an inclined plane, the steel ball 5 moves to the position of the discharge hole 141 along the guide plate 14 and falls onto the bearing plate 15 from the discharge hole 141 to enable the sensor to generate a signal, the electromagnet II 16 is powered off, under the action of the spring II, the bearing plate 15 swings downwards around a hinge point at the right end, the steel ball 5 on the bearing plate 15 moves leftwards along the bearing plate 15, the bearing plate 15 swings while pushing the turntable 3 to rotate clockwise around the first rotating shaft 31 through the connecting rod 18, the emission tube 4 rotates towards the left end of the bearing plate 15 and is close to the left end of the bearing plate 15, the steel ball 5 flies out from the left end of the bearing plate 15 under the action of gravity and then falls into the emission tube 4, the automatic recovery of the steel ball 5 is realized, the existence of the limiting plate 19 enables the bearing plate 15 to swing, is beneficial to the smooth recovery of the steel ball 5.
As shown in fig. 2, a second magnet 43 is provided inside the upper end of the emitter tube 4. The second magnet 43 can magnetically attract the steel ball 5 flying out of the left end of the receiving plate 15, so that the steel ball 5 can smoothly fall into the launching tube 4.
As shown in figure 3, a display screen 7 is arranged on the front end face of the fixing plate 1, the display screen 7 is transparent, the display screen 7 is electrically connected with a computer, the transparent display screen 7 can enable the light of the lighted L ED lamp 13 to penetrate through the display screen 7, so that people can visually display the light, meanwhile, the computer displays the motion track of the steel ball 5 on the display screen 7 through an electronic signal, and enables the parabolic electronic track of multiple experiments after the emission angle is adjusted to be stored on the display screen 7 for a long time, so that visual comparison and analysis are facilitated.
As shown in fig. 2 and 4, an annular electromagnet 8 is arranged at a position of the launch barrel 4 close to the upper end, a conical spring 9 is further sleeved on the launch barrel 4, the upper end of the conical spring 9 is large in size, the lower end of the conical spring 9 is small in size, and the conical spring 9 is made of ferromagnetic materials. When the bearing plate 15 swings downwards, the launching tube 4 synchronously rotates to the direction close to the left end of the bearing plate 15, the annular electromagnet 8 is powered off, the conical spring 9 extends upwards to enlarge the opening, the steel ball 5 entering the conical spring 9 can smoothly fall into the launching tube 4, the probability that the steel ball 5 enters the launching tube 4 is increased, and the recovery of the steel ball 5 is ensured.
As shown in fig. 2, an air cylinder 10 is arranged between the limit plate 19 and the bearing plate 15; two ends of the cylinder 10 are respectively hinged on the limiting plate 19 and the bearing plate 15; the air cylinder 10 is connected with an air storage tank through an air pipe. The existence of the cylinder 10 can buffer the bearing plate 15 when swinging downwards, so as to avoid that the bearing plate 15 moves too fast under the action of the elastic force of the second spring to cause the steel ball 5 to fall off from the bearing plate 15, meanwhile, when the bearing plate 15 carries the steel ball 5 to swing downwards, the compressed air is generated by the compressed cylinder 10, after the recovery of the steel ball 5 is completed, the compressed air in the air storage tank pushes the cylinder 10 to move, meanwhile, the second electromagnet 16 is electrified, the bearing plate 15 is contacted with the guide plate 14 again under the thrust of the cylinder 10 and the magnetic force action of the second electromagnet 16 and the first magnet 17, and the preparation is made for the next experiment.
The specific process is as follows:
when a parabola demonstration is required, the electromagnet I62 is powered off, the push plate 61 moves upwards along the sliding groove 42 of the launching tube 4 under the action of the elastic force of the spring I to push the steel ball 5 out, the steel ball 5 is pushed out of the launching tube 4 and then enters the groove 11 of the fixing plate 1 to move in a parabola track in the groove 11, the magnetic switch 12 in the through hole in the movement track is triggered to light the corresponding L ED lamp 13 in the movement track of the steel ball 5 in the movement process of the steel ball 5 in the groove 11, so that the L ED lamp 13 on the movement track of the steel ball 5 is lighted to form an intuitive parabola movement track, when the parabola track is required to be researched by adjusting the launching angle of the steel ball 5, the motor 65 works, the launching tube 4 rotates around the rotating shaft II 41 through the transmission of the worm gear and worm 64, so that the initial angle of the steel ball 5 when being pushed out of the launching tube 4 is changed, and the axis of the rotating shaft II 41 is located in the horizontal plane of the end face of the opening end face of the launching tube 4, so that the position of the steel ball 5 when flying out of the launching tube.
The steel ball 5 finishes the parabolic motion in the groove 11 of the fixed plate 1 and then falls down onto the guide plate 14, because the guide plate 14 is an inclined plane, the steel ball 5 moves to the position of the discharge hole 141 along the guide plate 14 and falls onto the bearing plate 15 from the discharge hole 141 to enable the sensor to generate a signal, the electromagnet II 16 is powered off, under the action of the spring II, the bearing plate 15 swings downwards around a hinge point at the right end, the steel ball 5 on the bearing plate 15 moves leftwards along the bearing plate 15, the bearing plate 15 swings while pushing the turntable 3 to rotate clockwise around the first rotating shaft 31 through the connecting rod 18, the emission tube 4 rotates towards the left end of the bearing plate 15 and is close to the left end of the bearing plate 15, the steel ball 5 flies out from the left end of the bearing plate 15 under the action of gravity and then falls into the emission tube 4, the automatic recovery of the steel ball 5 is realized, the existence of the limiting plate 19 enables the bearing plate 15 to swing, is beneficial to the smooth recovery of the steel ball 5.
The transparent display screen 7 can enable the light of the lighted L ED lamp 13 to penetrate through the display screen 7, so that people can visually display the movement track of the steel ball 5 on the display screen 7 through an electronic signal, and enables the parabolic electronic track of multiple experiments after the emission angle is adjusted to be stored on the display screen 7 for a long time, so that visual comparison and analysis are facilitated.
When the bearing plate 15 swings downwards, the launching tube 4 synchronously rotates to the direction close to the left end of the bearing plate 15, the annular electromagnet 8 is powered off, the conical spring 9 extends upwards to enlarge the opening, the steel ball 5 entering the conical spring 9 can smoothly fall into the launching tube 4, the probability that the steel ball 5 enters the launching tube 4 is increased, and the recovery of the steel ball 5 is ensured.
The existence of the cylinder 10 can buffer the bearing plate 15 when swinging downwards, so as to avoid that the bearing plate 15 moves too fast under the action of the elastic force of the second spring to cause the steel ball 5 to fall off from the bearing plate 15, meanwhile, when the bearing plate 15 carries the steel ball 5 to swing downwards, the compressed air is generated by the compressed cylinder 10, after the recovery of the steel ball 5 is completed, the compressed air in the air storage tank pushes the cylinder 10 to move, meanwhile, the second electromagnet 16 is electrified, the bearing plate 15 is contacted with the guide plate 14 again under the thrust of the cylinder 10 and the magnetic force action of the second electromagnet 16 and the first magnet 17, and the preparation is made for the next experiment.
While one embodiment of the present invention has been described above, the present invention is not limited to the above embodiment, and various modifications can be made without departing from the scope of the present invention.
Industrial applicability
According to the invention, the parabolic motion trail of the steel ball is collected by arranging the demonstration device and adopting a continuous photographing mode, and then the picture is analyzed and calculated by the computer, the speed curve and the motion trail are displayed through the display screen, so that students can visually understand the speed curve and the motion trail, and further analyzing the speed curve in time, deepening the understanding of students, ensuring the teaching quality, collecting the parabolic motion track of the steel ball by arranging a demonstration device and adopting a continuous photographing mode, analyzing and calculating the picture by a computer, the speed curve and the motion trail are displayed through the display screen, so that students can visually understand the speed curve and the motion trail, and the speed curve is further analyzed in time, so that the understanding of students is deepened, and the teaching quality is ensured, and therefore, the parabola teaching optimization method is useful in the field of mathematical teaching.
Claims (4)
1. A university mathematics parabola demonstration teaching optimization method is characterized in that: the method comprises the following steps:
s1: placing a demonstration device in front of a blackboard in a classroom, and placing a mobile phone for image acquisition in front of the demonstration device;
s2: after S1, displaying parabolic tracks of the steel ball at different emission angles to students through a demonstration device;
s3: in the process of demonstrating parabolic tracks in S2, continuously photographing through a mobile phone to acquire the movement positions of the steel ball, transmitting signals to a computer, calculating the speed of the steel ball at each position, and drawing a speed curve;
s4: displaying the speed curve in the S3 and the movement track of the steel ball through a display screen;
s5: decomposing the speed curve on a display screen through a computer, and calculating the horizontal movement speed and the vertical movement speed so as to understand the essence of the parabolic movement;
the demonstration device comprises a fixing plate (1), a connecting plate (2), a rotary table (3), an emission cylinder (4), a controller and a computer, wherein the fixing plate (1) is vertically placed, a groove (11) is vertically and upwards formed in the bottom end of the fixing plate (1), the groove (11) is located in the fixing plate (1), through holes are uniformly formed in the front end face of the fixing plate (1) and communicated with the groove (11) in the fixing plate (1), a magnetic switch (12) and an L ED lamp (13) are arranged in the through holes, the magnetic switch (12) is electrically connected with the controller, the controller is connected with the computer, the connecting plate (2) is vertically arranged below the fixing plate (1), the rotary table (3) is rotatably installed on the connecting plate (2) through a first rotating shaft (31), the rotary table (3) can rotate in the vertical plane of the connecting plate (2), the rotary table (3) is located below the fixing plate (1), the emission cylinder (4) is rotatably installed on the rotary table (3) through a second rotating shaft (41), the emission cylinder (5) is used for enabling the emission cylinder (5) to be located in the middle of the emission cylinder (5) and to be located in the groove (11), the horizontal moving track of the steel ball (5), the steel ball (5) is stored in the sliding surface of the groove (11), the fixing plate (11), the sliding surface of the fixing plate (11), the cylindrical emission cylinder (1), the sliding surface of the fixing plate (4), the steel ball (41), the steel ball (5), the sliding surface of the steel ball (5), the steel ball (5) is horizontally arranged in the sliding surface, the sliding surface of the fixing plate (1), the sliding surface of the sliding,
the launching unit (6) comprises a push plate (61), a first spring, a first electromagnet (62), a rotating plate (63), a worm (64) and a motor (65), the push plate (61) is positioned in a cylindrical sliding groove (42) of the launching tube (4), and the push plate (61) is made of a ferromagnetic material; the spring I is positioned inside the launching barrel (4) and is used for providing elastic force to enable the push plate (61) to move upwards along the sliding groove (42); the electromagnet I (62) is arranged at the bottom of the launching barrel (4) in an embedded mode, and the electromagnet I (62) is used for enabling the push plate (61) to move downwards along the sliding groove (42) under the action of magnetic force; the rotating plate (63) is installed at the bottom end of the launching tube (4), the rotating plate (63) is arc-shaped, the curvature center of the rotating plate (63) is overlapped with the center point of the outlet of the sliding groove (42) on the upper end face of the launching tube (4), and the lower surface of the rotating plate (63) is provided with a tooth-shaped structure; the worm (64) is horizontally arranged on the turntable (3), the worm (64) is positioned below the rotating plate (63), and the worm (64) is meshed with the tooth-shaped structure of the rotating plate (63); the motor (65) is arranged on the turntable (3), the motor (65) is used for driving the worm (64) to rotate, and the motor (65) is electrically connected with the controller;
a guide plate (14) is arranged at the bottom of the groove (11) of the fixed plate (1), and a bearing plate (15) is horizontally arranged below the fixed plate (1); the guide plate (14) is positioned on the right side of the launching barrel (4), the upper surface of the guide plate (14) is inclined in a shape of being high at the left and low at the right, and a discharge hole (141) is vertically formed in the position, close to the right end face, of the guide plate (14); the receiving plate (15) is located on the right side of the launching tube (4), the right end of the receiving plate (15) is hinged to the connecting plate (2), the receiving plate (15) is in contact with the guide plate (14) when in a horizontal state, an inductor is arranged below the discharging hole (141) of the receiving plate (15), a second electromagnet (16) is arranged at the position, close to the left end, of the receiving plate (15), a first magnet block (17) is arranged on the guide plate (14) and corresponds to the second electromagnet (16), a second spring is arranged below the receiving plate (15), one end of the second spring is connected with the lower surface of the receiving plate (15), the other end of the second spring is connected with the connecting plate (2), the second spring is used for enabling the receiving plate (15) to swing downwards, and the receiving plate (15) is connected with the rotary table (3) through a connecting rod (18); one end of the connecting rod (18) is hinged on the bearing plate (15), and the other end of the connecting rod (18) is hinged with the rotary table (3); a limiting plate (19) is further arranged on the connecting plate (2); the limiting plate (19) is used for limiting the downward swinging angle of the bearing plate (15);
a display screen (7) is arranged on the front end face of the fixing plate (1); the display screen (7) is transparent, and the display screen (7) is electrically connected with the computer.
2. The optimization method for demonstration teaching of college mathematics parabola according to claim 1, characterized in that: and a second magnet block (43) is arranged on the inner side of the upper end part of the launching cylinder (4).
3. The optimization method for demonstration teaching of college mathematics parabola according to claim 1, characterized in that: the annular electromagnet (8) is arranged at the position, close to the upper end, of the launching tube (4), the conical spring (9) is further sleeved on the launching tube (4), the size of the upper end of the conical spring (9) is large, the size of the lower end of the conical spring is small, and the conical spring (9) is made of ferromagnetic materials.
4. The optimization method for demonstration teaching of college mathematics parabola according to claim 1, characterized in that: a cylinder (10) is arranged between the limiting plate (19) and the bearing plate (15); two ends of the cylinder (10) are respectively hinged on the limiting plate (19) and the bearing plate (15); the air cylinder (10) is connected with an air storage tank through an air pipe.
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| CN202332001U (en) * | 2011-11-16 | 2012-07-11 | 刘兴义 | Parabolic motion locus demonstration device |
| CN203055256U (en) * | 2013-01-26 | 2013-07-10 | 钱德周 | Parabola trajectory demonstrating and recording teaching aid |
| CN103943002B (en) * | 2014-04-02 | 2016-05-11 | 西华师范大学 | Horizontal cast movement demonstration instrument |
| CN104966440A (en) * | 2015-07-06 | 2015-10-07 | 宁波奇科威数字信息技术有限公司 | Physical experiment device for demonstrating two-dimensional motion |
| CN205810209U (en) * | 2016-04-12 | 2016-12-14 | 黑龙江工程学院 | College Maths parabola demonstration teaching aid |
| CN206610525U (en) * | 2017-03-20 | 2017-11-03 | 董新春 | A kind of mathematics parabola teaching demonstration device |
| CN107038935A (en) * | 2017-04-11 | 2017-08-11 | 冯晟 | A kind of mathematical education parabola apparatus for demonstrating |
| CN207052161U (en) * | 2017-04-28 | 2018-02-27 | 汕头市聿怀中学 | One kind is flat to throw recorder |
| CN207799975U (en) * | 2017-10-27 | 2018-08-31 | 安徽工程大学 | A kind of object motion track demo system |
| CN108062889A (en) * | 2017-12-29 | 2018-05-22 | 成都园海辉阳科技有限公司 | Physics teaching parabola demonstration teaching aid |
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