CN113628508B - Display device and display method for mathematical integration area - Google Patents
Display device and display method for mathematical integration area Download PDFInfo
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- CN113628508B CN113628508B CN202110948008.0A CN202110948008A CN113628508B CN 113628508 B CN113628508 B CN 113628508B CN 202110948008 A CN202110948008 A CN 202110948008A CN 113628508 B CN113628508 B CN 113628508B
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Abstract
A display device for mathematical integration area comprises a blackboard (1), an aluminum frame (2) and a display part (3). The blackboard (1) is provided with a convex upper edge (11) and a convex lower edge (12); the upper end and the lower end of the left frame (21) are respectively stuck with a left upper pad (211) and a left lower pad (212), and the upper end and the lower end of the right frame (22) are respectively stuck with a right upper pad (221) and a right lower pad (222); the display area (3) is internally provided with a hole array (311), more than 100 intersection points needles (32) matched with the holes (311) and a steel wire rope (33) with the outer diameter matched with the inner side of the head. A display method of mathematical integral area is carried out by using a display device, and comprises an assembly step, a function selection and calculation step, an intersection point needle insertion step, a hot melt adhesive film rolling step and a display step.
Description
Technical Field
The invention relates to the technical field of mathematical teaching aids for display, in particular to a display device and a display method for mathematical integration area.
Background
The integration is an important section of university mathematics, the calculation and display of the integration area are very important teaching contents, the concrete aspect of the integration calculation area is very necessary and necessary to display in class, the integration area serves for the basic quality training of students and the subsequent course learning, and the integration area is essential learning content of contemporary students. However, in the prior art, a teaching aid for effectively displaying the integral area is lacking, the prior art is often satisfied with the display function, the actual display effect is relatively poor, chalk is used for drawing and displaying on a blackboard most of the time, the polynomial function is various in form and is generally composed of a smooth curve, and the actual display effect is not concerned with in the prior art for displaying the integral area. The most common integral area is the area enclosed by the smooth curve and the x-or y-axis, while the smooth curve is most commonly a polynomial function shaped as f (x) =a n *x^n+A n-1 *x……(n-1)+……+A 1 *x+A 0 (x is a variable, f (x) is a dependent variable, the a series is a constant, n to 1 are different powers, typically integers) functions called polynomial functions, are the focus of teaching and presentation in analytical geometry. Particularly, the following three points are that firstly, the display of the integral area is not obvious enough, and the function curve is often focused on the display, and the integral area has no special display means or is not well displayed because the shape of the integral area is different under different conditions; secondly, for the lack of smoothness display, in the display of function curves, smoothness is an important attribute, and the smooth curves are not smooth enough, so that people cannot see the actual state of the function, and the display effect is also greatly reduced.
We have analyzed the prior art in which CN109817065a discloses a higher mathematical function graphic teaching aid whose function curve must pass through the mounting ring so that it can only demonstrate part of the specific function, the function morphology being represented by the demonstration iron wire, but it is known that the demonstration iron wire is not flexible enough, and the use of it to demonstrate the smoothness of the function is essentially impossible, nor is it so apparent or implied how to demonstrate the integration area. CN109920278A discloses a higher mathematical function teaching demonstration instrument, the demonstration range is wide, but the position of its specific value is demonstrated by the LED lamp bead, the position is too rough, and smoothness is more unable to curve, and the whole looks like discrete point to constitute, and also does not have this explicit or implicit how to demonstrate the integral area. In CN211264608U, when performing sine and cosine image drawing, a teacher can change the shape of the image soft bar 13 and fix the image soft bar with the second fixing columns 14, but the image soft bar is too soft, and the fixing with the fixing columns also causes the curved portion to be very unsmooth, so that the effective display effect of a smooth curve is not achieved at all, and how to display the integral area is not explicitly or implicitly shown.
Compared with the prior art, the method has a plurality of unobvious advantages: firstly, the display function is finer and more accurate, because 101 x 101 holes are used for positioning (more than 100 intervals), the position of a very fine and accurate function curve can be displayed, secondly, the smoothness of the curve can be better displayed by matching the steel wire rope and the intersection point fork, the smooth bending of the curve can be properly displayed, thirdly, the integral area concerned is displayed by using a colored hot melt adhesive film, and the specific form of the integral area can be accurately, properly and effectively displayed due to bright and obvious color.
Disclosure of Invention
The invention aims to provide a teaching aid for displaying polynomial functions, which solves the three problems at the same time, firstly, the teaching aid is accurate, the value of each point is more accurate, the value of each point is accurately calculated, and secondly, the teaching aid is adaptive, and a cross piece, a steel wire rope and a hot melt adhesive film are combined to enable the display effect to be very clear and the limit to be clear.
In order to achieve the above purpose, the present invention provides the following technical solutions: display device of mathematics integral area, its characterized in that: comprises a blackboard 1, an aluminum frame 2 and a display part 3.
The blackboard 1 has convex upper and lower edges 11 and 12, the upper edge has a pair of upper edge grooves 111, the lower edge has a pair of lower edge grooves 121, the upper and lower edge grooves are rectangular parallelepiped grooves, the upper and lower edge grooves on the left side receive the upper and lower ends of the left frame 21, and the upper and lower edge grooves on the right side receive the upper and lower ends of the right frame.
The upper end and the lower end of the left frame 21 are respectively stuck with an upper left pad 211 and a lower left pad 212, the upper end and the lower end of the right frame 22 are respectively stuck with an upper right pad 221 and a lower right pad 222, the lengths of the left frame body and the right frame body are equal, the lengths of the left frame body and the right frame body are respectively shorter than the distance between the upper bottom of the corresponding pair of upper edge grooves and the lower bottom of the corresponding pair of upper edge grooves by 1-3mm, and the rear sides of the left frame body and the right frame body are respectively stuck with at least 4 clay stickers 23 in an even distribution manner.
The right side of left side frame has inwards sunken cuboid left groove 241, and the left side of right side frame has inwards sunken cuboid right groove 242, and wood-plastic panel 25 left end inserts in the left groove and right-hand member inserts in the right groove, and wood-plastic panel is cuboid form, and wood-plastic panel front surface has the show portion 3 of 1m square.
The display part 3 is internally provided with a hole array 311, the hole array is an array of holes 311 with equal distances between adjacent holes in the transverse direction and the longitudinal direction, the holes are through holes, the outer sides of the holes are higher than the inner sides of the holes, more than 100 intersection points 32 matched with the holes 311 are arranged, the intersection points are formed by connecting a needle body and a head, and the head is in an inverted omega shape in side view and has a width of not less than 1mm in top view; a steel wire rope 33 with an outer diameter adapted to the inner side of the head; a concave part 371 is arranged below the hole array, and a fillet 37 matched with the concave part is inserted outside the concave part; and a plurality of hot melt adhesive films matched with the steel wire ropes are also arranged.
Further, the upper edge and the lower edge are made of solid wood, and the depth of the upper edge groove and the lower edge groove is not less than 1cm; the left upper pad, the left lower pad, the right upper pad and the right lower pad are all polyurethane pads and are glued by 3M adhesive, and the compacted thickness of the left upper pad, the left lower pad, the right upper pad and the right lower pad is not less than 0.5mm; the clay glue is a square slice; the left frame and the right frame are made of industrial aluminum profiles; polyurethane liners are adhered to the inner surfaces of the left groove and the right groove; the thickness of the wood-plastic plate is uniform and is not less than 8mm.
The number of holes of the hole array is not less than 99 multiplied by 99, the distances between the longitudinally adjacent holes and the transversely adjacent holes are 1cm, the intersecting point needle is a stainless steel piece, the number of the intersecting point needle is not less than 150, and the steel wire rope is formed by twisting 2-6 steel wires with the single outer diameter of 0.6 mm; the left end and the right end of the concave part are provided with a plurality of blind holes, the two ends of the embedded strip are provided with a plurality of convex columns matched with the blind holes, each roll of hot melt adhesive film has different colors, and the thickness is between 0.05 and 0.25 mm.
A method for displaying a mathematical integration area, which is performed by using a device for displaying a mathematical integration area as described above, and is characterized in that: (1) an assembling step: the left upper pad, the left lower pad, the right upper pad and the right lower pad are adhered to the left frame and the right frame, a plurality of clay glue sticks are uniformly adhered to the rear sides of the left frame and the right frame, the left side and the right side of the wood-plastic plate are plugged into the left groove and the right groove, the distance between the left frame and the right frame is kept, the left frame and the right frame are respectively placed into the upper edge groove and the lower edge groove corresponding to the left side and the right side to be clamped, each clay glue stick is well adhered, and the embedded strip is taken down.
(2) Function selection and calculation: selecting the leftmost row of holes as y=0, selecting the bottommost row of holes as x=0, calculating the value of y when x takes each integer in [ a, b ] for the integral area of x in the a-b interval of x as y= [ pi (x) dx, wherein a and b are positive integers of 0-99, and collecting the values into a table.
(3) Inserting an intersection point needle: starting from the row corresponding to x=a to the right, inserting an intersection needle into the hole at (a, a) when the value of the corresponding y is an integer from 0 to 99, or the difference from the integer from 00 to 99 is within + -0.1, the determination continuing to the row of x=b; the intersection pin head is turned to an approximately vertical position.
(4) Rolling the hot melt adhesive film: winding a roll of hot melt adhesive film on the steel wire rope for at least two circles with the width obviously longer than b-a, sequentially clamping the wound part of the steel wire rope into the head part of each intersection point needle from left to right, and enabling two columns of x=a and x=b to be in the wound steel wire rope part; for the part of f (x) bending downwards, stretching and leveling the lower hot melt adhesive film, and for the part of f (x) bending upwards, overlapping the hot melt adhesive parts of the lower convex roll and gluing; shearing off the hot melt adhesive films on the vertical left side of x=a and the vertical right side at x=b by using scissors;
(5) And a display step: the lower residual hot melt adhesive film is wound inwards and plugged into the concave part (371), and a filler rod is inserted into the concave part for fixation, so that the required integral area is displayed.
Further, when f (x) is divided into N segments of different formulas within x [ a, b ], the operation of step (4) is performed from left to right, and each segment uses a hot melt adhesive film of different colors, or adjacent two ends need to use hot melt adhesive films of different colors.
Compared with the prior art, the invention has the beneficial effects that: firstly, the accuracy, the number of the value points is more, the value of each point is calculated accurately, and the application uses at least 1m 2 The area shows the function curve, the longitudinal has 100-level values of different positions, the function accuracy can be shown, the specific longitudinal axis value is obtained through accurate calculation, which is far different from the prior art, and the corresponding value of y is an integer of 0-99, or a pin is inserted when the difference between the corresponding value of y and the integer of 00-99 is within +/-0.1, so that the f (x) curve is very accurate. Secondly, the steel wire rope is in a smoother form, so that even in some occasions with larger spans, the curve cannot deviate or sag greatly due to the toughness of the steel wire rope, and the application is taken as an example, the spans of the common adjacent intersection points are between 1cm and 5cm in practice, the steel wire rope can just realize smooth transition, and when f (x) is a straight line or an approximate straight line, the steel wire rope can better show the straight line effect. Thirdly, the mode of using the special crossing needle not only gives attention to the fixation firmness, but also separates the functions of positioning and curve display, and is matched with the rotatable crossing point fork, so that the smoothness is fully reflected. Fourth, the advantage of the hot-melt adhesive film is that it is easy to demonstrate the integral area desired to be demonstrated, and for each segmented function, the two sides x=a to x=b can shear off the excess portion, which appears to be irregular, for the portion bent downward for f (x), the lower hot-melt adhesive film is stretched and leveled, for the portion bent upward for f (x), the hot-melt adhesive portions of the lower convex roll are overlapped and glued, so that the hot-melt adhesive film will not be raised and appears to be smoother.
Drawings
Fig. 1 is a schematic view of a blackboard and aluminum frame of the present invention.
Fig. 2 is a schematic view of an aluminum frame and its accessories according to the present invention.
Fig. 3 is a schematic diagram showing a combination relationship between a display part and an aluminum frame according to the present invention.
Fig. 4 is a schematic view of a display section embodiment, an intersection point needle and a steel wire rope.
Fig. 5 is a schematic diagram demonstrating the integration area.
The reference numerals in the drawings refer to: 1. blackboard, 11, upper edge, 111, upper edge groove, 12, lower edge, 121, lower edge groove, 2, aluminum frame, 21, left frame, 22, right frame, 211, left upper pad, 212, left lower pad, 221, right upper pad, 222, right lower pad, 23, clay sticker, 241, left groove, 242, right groove, 25, wood-plastic panel, 3, display portion, 31, hole array, 311, hole, 32, intersection needle, 321, needle, 322, head, 33, wire rope, 34, hot melt adhesive film, 341, first area zone, 342, second area zone, 37, molding, 371, recess.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by one of ordinary skill in the art without inventive faculty, are intended to be within the scope of the present invention, based on the embodiments of the present invention.
Example 1
Referring to fig. 1 to 5, the present invention provides a display device for mathematical integration area, which is characterized in that: comprises a blackboard 1, an aluminum frame 2 and a display part 3.
The blackboard 1 has convex upper and lower edges 11 and 12, the upper edge has a pair of upper edge grooves 111, the lower edge has a pair of lower edge grooves 121, the upper and lower edge grooves are rectangular parallelepiped grooves, the upper and lower edge grooves on the left side receive the upper and lower ends of the left frame 21, and the upper and lower edge grooves on the right side receive the upper and lower ends of the right frame.
The upper end and the lower end of the left frame 21 are respectively stuck with an upper left pad 211 and a lower left pad 212, the upper end and the lower end of the right frame 22 are respectively stuck with an upper right pad 221 and a lower right pad 222, the lengths of the left frame body and the right frame body are equal, the lengths of the left frame body and the right frame body are respectively shorter than the distance between the upper bottom of the corresponding pair of upper edge grooves and the lower bottom of the corresponding pair of upper edge grooves by 1-3mm, and the rear sides of the left frame body and the right frame body are respectively stuck with at least 4 clay stickers 23 in an even distribution manner.
The right side of left side frame has inwards sunken cuboid left groove 241, and the left side of right side frame has inwards sunken cuboid right groove 242, and wood-plastic panel 25 left end inserts in the left groove and right-hand member inserts in the right groove, and wood-plastic panel is cuboid form, and wood-plastic panel front surface has the show portion 3 of 1m square.
The display part 3 is internally provided with a hole array 311, the hole array is an array of holes 311 with equal distances between adjacent holes in the transverse direction and the longitudinal direction, the holes are through holes, the outer sides of the holes are higher than the inner sides of the holes, more than 100 intersection points 32 matched with the holes 311 are arranged, the intersection points are formed by connecting a needle body and a head, and the head is in an inverted omega shape in side view and has a width of not less than 1mm in top view; a steel wire rope 33 with an outer diameter adapted to the inner side of the head; a concave part 371 is arranged below the hole array, and a fillet 37 matched with the concave part is inserted outside the concave part; and a plurality of hot melt adhesive films matched with the steel wire ropes are also arranged.
Further, the upper edge and the lower edge are made of solid wood, and the depth of the upper edge groove and the lower edge groove is not less than 1cm; the left upper pad, the left lower pad, the right upper pad and the right lower pad are all polyurethane pads and are glued by 3M adhesive, and the compacted thickness of the left upper pad, the left lower pad, the right upper pad and the right lower pad is not less than 0.5mm; the clay glue is a square slice; the left frame and the right frame are made of industrial aluminum profiles; polyurethane liners are adhered to the inner surfaces of the left groove and the right groove; the thickness of the wood-plastic plate is uniform and is not less than 8mm; the number of holes of the hole array is not less than 99 multiplied by 99, the distances between the longitudinally adjacent holes and the transversely adjacent holes are 1cm, the intersecting point needle is a stainless steel piece, the number of the intersecting point needle is not less than 150, and the steel wire rope is formed by twisting 2-6 steel wires with the single outer diameter of 0.6 mm; the left end and the right end of the concave part are provided with a plurality of blind holes, the two ends of the embedded strip are provided with a plurality of convex columns matched with the blind holes, each roll of hot melt adhesive film has different colors, and the thickness is between 0.05 and 0.25 mm.
The upper edge and the lower edge can also be made of plastic steel, or stone, or solid wood coated with iron sheet/stainless steel. The bottoms of the upper edge groove and the lower edge groove are horizontal. The areas of the left upper pad, the left lower pad, the right upper pad and the right lower pad are the same as the upper parts/lower parts of the left basket and the right frame, the compacted thickness of the left upper pad, the left lower pad, the right upper pad and the right lower pad can be 0.6/0.7/0.8/0.9/1/1.1/1.2/1.3/1.4/1.5mm, the thickness of the clay adhesive is not less than 2mm, and the area is not more than 4 square centimeters. The left and right frames are solid or hollow. After the polyurethane lining is stuck in the left groove and the right groove, the wood plastic board is basically plugged into the left groove and the right groove and cannot move back and forth. The wood plastic plate can be solid or hollow at the back, the number of the hole arrays is 101×101, namely the display part is 1 square meter, the outer diameter of the needle is smaller than 1mm, the number of the dry and dead parts is 3, and the blind holes and the convex columns are rough in appearance and have certain friction force. Each roll of the hot melt adhesive film is bright in color, such as red, yellow, green, blue, orange and the like, so that the hot melt adhesive film is convenient for a viewer to recognize and appreciate. The head of the intersection point needle has certain elasticity, so that the steel wire rope can be fastened.
Example 2
A method for displaying a mathematical integration area, which is performed by using a device for displaying a mathematical integration area as described above, and is characterized in that: (1) an assembling step: the left upper pad, the left lower pad, the right upper pad and the right lower pad are adhered to the left frame and the right frame, a plurality of clay glue sticks are uniformly adhered to the rear sides of the left frame and the right frame, the left side and the right side of the wood-plastic plate are plugged into the left groove and the right groove, the distance between the left frame and the right frame is kept, the left frame and the right frame are respectively placed into the upper edge groove and the lower edge groove corresponding to the left side and the right side to be clamped, each clay glue stick is well adhered, and the embedded strip is taken down. The clay patches are for example eight 2cm x 2cm square behind each frame.
(2) Function selection and calculation: selecting the leftmost row of holes as y=0, selecting the bottommost row of holes as x=0, calculating the value of y when x takes each integer in [ a, b ] for the integral area of x in the a-b interval of x as y= [ pi (x) dx, wherein a and b are positive integers of 0-99, and collecting the values into a table.
Here, for example, f (x) =x, that is, y=x, the integral area of x takes a value of, for example, 10 to 20, because y=x is a straight line inclined 45 ° upward and rightward from the origin, and the integral area is a right trapezoid shape 10 columns wide.
(3) Inserting an intersection point needle: starting from the row corresponding to x=a to the right, inserting an intersection needle into the hole at (a, a) when the value of the corresponding y is an integer from 0 to 99, or the difference from the integer from 00 to 99 is within + -0.1, the determination continuing to the row of x=b; the intersection pin head is turned to an approximately vertical position. Since the function takes y=x, where each y corresponds to x, i.e. the intersection point needle is inserted at (1, 1), (2, 2), (3, 3), etc., no approximation is needed, and the real function morphology is fully demonstrated.
(4) Rolling the hot melt adhesive film: winding a roll of hot melt adhesive film on the steel wire rope for at least two circles with the width obviously longer than b-a, sequentially clamping the wound part of the steel wire rope into the head part of each intersection point needle from left to right, and enabling two columns of x=a and x=b to be in the wound steel wire rope part; for the part of f (x) bending downwards, stretching and leveling the lower hot melt adhesive film, and for the part of f (x) bending upwards, overlapping the hot melt adhesive parts of the lower convex roll and gluing; shearing off the hot melt adhesive films on the vertical left side of x=a and the vertical right side at x=b by using scissors; here a=10, b=20.
(5) And a display step: the lower residual hot melt adhesive film is wound inwards and plugged into the concave part (371), and a filler rod is inserted into the concave part for fixation, so that the required integral area is displayed.
Further, when f (x) is divided into N segments of different formulas within x [ a, b ], the operation of step (4) is performed from left to right, and each segment uses a hot melt adhesive film of different colors, or adjacent two ends need to use hot melt adhesive films of different colors.
Example 3
A method for displaying the mathematical integration area is the same as the basic steps of example 2. In step (1), the clay patches are, for example, 6 2cm x 2cm square behind each frame.
In step (2), here, for example, f (x) =90-0.5 x, that is, y=90-0.5 x, the integral area is, for example, 16-32, and x is a straight line inclined downward and rightward from (0,90), where y=90-0.5 x is a right trapezoid shape with a width of 16 columns.
In step (3). Since the function takes y=90-0.5 x, where y is an integer every 2 x, i.e. the intersection needle is inserted at (0, 90), (2,89), (4,88), (6,87), (8,86) etc., no approximation is needed, and the real function morphology is fully demonstrated. Because of the smaller span, the steel wire rope will not drop significantly.
In step (4), here a=16, b=32. A roll of orange hot melt adhesive film was used.
Example 4
A method for displaying the mathematical integration area is the same as the basic steps of example 2. In step (1), the clay patches are, for example, 5 1cm x 1cm square behind each frame.
In step (2), where, for example, f (x) =90-0.5 x (when 0.ltoreq.x.ltoreq.32), and f (x) =58+0.5x (when 32.ltoreq.x.ltoreq.64), the integration area is divided into two parts, and the value of x is, for example, 16-48, because y=90-0.5 x is a straight line inclined from (0,90) to the lower right, and y=58+0.5x is a straight line inclined from (32, 74) to the upper right, where the integration area is in the shape of two right trapezoid of 16 columns width, divided into two blocks, and the left and right sides of x=32 are respectively shown with hot melt adhesive films of different colors.
In step (3). Since the function takes y=90-0.5 x (when 0.ltoreq.x.ltoreq.32), and f (x) =58+0.5x (when 32.ltoreq.x.ltoreq.64), x=32 to the left, x is an integer for every 2, y, i.e. the intersection point needle is inserted at (0, 90), (2,89), (4,88), (6,87), (8,86) etc., x=32 to the right, starting from y=74, x is an integer for every 2, y, i.e. the intersection point needle is inserted at (32, 74), (34,75), (36, 76), (38, 77) etc., no approximation is required, and the true function morphology is fully demonstrated. Because of the smaller span, the steel wire rope will not drop significantly.
In step (4), a roll of orange and a roll of blue hot melt adhesive film are used.
Example 5
Other similar to step 2, except that f (x) is 10 x ln (x), i.e., y=10 x ln (x), where when x is considered to be an integer, y is substantially non-integer, if the difference from or to some 00-99 integer is within + -0.1, when x is located at 1,2, 3..the y is 0,6.931471806, 10.98612289..the y is 0,6.931471806, respectively, etc., so, taking an integer for y meeting the condition, obtaining a point into which the intersection point needle can be inserted: (2, 7), (3, 11), (5, 16), (6, 18), and the like. The integration area can be set between x and 2-15, and the hot melt adhesive film used is for example bright blue. The present embodiment is an example of how to use the device of the present application when y is mostly not an integer, and the applicable function is limited because the intersection needle can only be inserted in the hole, but a person skilled in the art will find a function that y is very close to or approximates to an integer, such as y=10×ln (x), without affecting practical application.
The foregoing is merely exemplary embodiments of the present invention, and specific structures and features that are well known in the art are not described in detail herein. It will be evident to those skilled in the art that the invention is not limited to the details of the foregoing illustrative embodiments, and that the present invention may be embodied in other specific forms without departing from the spirit or essential characteristics thereof. The present embodiments are, therefore, to be considered in all respects as illustrative and not restrictive, the scope of the invention being indicated by the appended claims rather than by the foregoing description, and all changes which come within the meaning and range of equivalency of the claims are therefore intended to be embraced therein. Any reference sign in a claim should not be construed as limiting the claim concerned.
Claims (4)
1. Display device of mathematics integral area, its characterized in that:
comprises a blackboard (1), an aluminum frame (2) and a display part (3);
the blackboard (1) is provided with a convex upper edge (11) and a convex lower edge (12), the upper edge is provided with a pair of upper edge grooves (111), the lower edge is provided with a pair of lower edge grooves (121), the upper edge grooves and the lower edge grooves are cuboid grooves, the upper edge grooves and the lower edge grooves on the left side are used for accommodating the upper end and the lower end of the left frame (21), and the upper edge grooves and the lower edge grooves on the right side are used for accommodating the upper end and the lower end of the right frame;
the upper end and the lower end of the left frame (21) are respectively stuck with a left upper pad (211) and a left lower pad (212), the upper end and the lower end of the right frame (22) are respectively stuck with a right upper pad (221) and a right lower pad (222), the lengths of the left frame body and the right frame body are equal, the lengths of the left frame body and the right frame body are 1-3mm shorter than the distances between the upper bottom of a corresponding pair of upper edge grooves and the lower bottom of a lower edge groove, and at least 4 clay stickers (23) are uniformly stuck on the rear sides of the left frame body and the right frame body;
the right side of the left frame is provided with a cuboid left groove (241) which is inwards sunken, the left side of the right frame is provided with a cuboid right groove (242) which is inwards sunken, the left end of the wood-plastic plate (25) is inserted into the left groove, the right end of the wood-plastic plate is inserted into the right groove, the wood-plastic plate is cuboid, and the front surface of the wood-plastic plate is provided with a display part (3) with a square of 1m multiplied by 1 m;
the display part (3) is internally provided with a hole (311) array, the hole array is an array of holes (311) with equal distances between adjacent holes in the transverse direction and the longitudinal direction, the holes are through holes, the outer sides of the holes are higher than the inner sides of the holes, more than 100 intersection point needles (32) matched with the holes (311) are arranged, the intersection point needles are formed by connecting needle bodies and heads, and the heads are in an inverted omega shape in side view and have a width of not less than 1mm in overlook view; the device is also provided with a steel wire rope (33) with the outer diameter matched with the inner side of the head; a concave part (371) is arranged below the hole array, and a fillet (37) matched with the concave part is inserted outside the concave part; and a plurality of hot melt adhesive films matched with the steel wire ropes are also arranged.
2. A mathematical integration display apparatus as claimed in claim 1, wherein:
the upper edge and the lower edge are made of solid wood, and the depth of the upper edge groove and the lower edge groove is not less than 1cm;
the left upper pad, the left lower pad, the right upper pad and the right lower pad are all polyurethane pads and are glued by 3M adhesive, and the compacted thickness of the left upper pad, the left lower pad, the right upper pad and the right lower pad is not less than 0.5mm;
the clay glue is a square slice; the left frame and the right frame are made of industrial aluminum profiles;
polyurethane liners are adhered to the inner surfaces of the left groove and the right groove; the thickness of the wood-plastic plate is uniform and is not less than 8mm;
the number of holes of the hole array is not less than 99 multiplied by 99, the distances between the longitudinally adjacent holes and the transversely adjacent holes are 1cm, the intersecting point needle is a stainless steel piece, the number of the intersecting point needle is not less than 150, and the steel wire rope is formed by twisting 2-6 steel wires with the single outer diameter of 0.6 mm; the left end and the right end of the concave part are provided with a plurality of blind holes, the two ends of the embedded strip are provided with a plurality of convex columns matched with the blind holes, each roll of hot melt adhesive film has different colors, and the thickness is between 0.05 and 0.25 mm.
3. A method for displaying a mathematical integration area by using the device for displaying a mathematical integration area according to claim 2, wherein:
(1) Assembling: sticking a left upper cushion, a left lower cushion, a right upper cushion and a right lower cushion on a left frame and a right frame, uniformly distributing and sticking a plurality of clay glue on the rear sides of the left frame and the right frame, plugging the left side and the right side of a wood-plastic plate into a left groove and a right groove, keeping the distance between the left frame and the right frame, respectively putting the left frame and the right frame into an upper edge groove and a lower edge groove corresponding to the left side and the right side to be clamped, sticking each clay glue, and taking down a filler rod;
(2) Function selection and calculation: selecting the leftmost row of holes as y=0, selecting the bottommost row of holes as x=0, calculating the value of y when x takes each integer in [ a, b ] for the integral area of x in the a-b interval of x as y= [ pi (x) dx, wherein a and b are positive integers of 0-99, and collecting the values into a table;
(3) Inserting an intersection point needle: starting from the row corresponding to x=a to the right, inserting an intersection needle into the hole at (a, a) when the corresponding y value is an integer from 0 to 99 or the difference from some integer from 0 to 99 is within + -0.1, continuing to the row of x=b; rotating the intersection needle part to a vertical position;
(4) Rolling the hot melt adhesive film: winding a roll of hot melt adhesive film on the steel wire rope for at least two circles with the width obviously longer than b-a, sequentially clamping the wound part of the steel wire rope into the head part of each intersection point needle from left to right, and enabling two columns of x=a and x=b to be in the wound steel wire rope part; shearing off the hot melt adhesive films on the vertical left side of x=a and the vertical right side at x=b by using scissors;
(5) And a display step: the lower residual hot melt adhesive film is wound inwards and plugged into the concave part (371), and a filler rod is inserted into the concave part for fixation, so that the required integral area is displayed.
4. A method of displaying a mathematical integration area as claimed in claim 3, wherein:
and (3) when f (x) is divided into N sections with different formulas in x [ a, b ], performing the operation of the step (4) from left to right, wherein each section uses a hot melt adhesive film with different colors, or two adjacent sections use hot melt adhesive films with different colors.
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| US20150031001A1 (en) * | 2013-07-26 | 2015-01-29 | Peter Hakel | Calculus teaching and demonstration aid |
| CN204926617U (en) * | 2015-09-11 | 2015-12-30 | 哈尔滨师范大学 | Higher mathematics total mark demonstration teaching aid |
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| CN106585206B (en) * | 2016-12-28 | 2017-07-21 | 郑州航空工业管理学院 | A kind of device suitable for multimedia mathematical education |
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| CN209248855U (en) * | 2018-02-10 | 2019-08-13 | 中国人民解放军陆军军事交通学院镇江校区 | A kind of mathematical function four-quadrant demonstration teaching aid plate |
| CN113205733A (en) * | 2021-05-07 | 2021-08-03 | 临沂职业学院 | Teaching aid for displaying polynomial function and displaying method thereof |
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