TWM562478U - Basic trigonometric function relationship chess - Google Patents

Abstract

A basic trigonometric relationship chess, consisting of a chessboard and two chess sets. The board includes a disk surface, a chess unit disposed on the disk surface, and a display unit disposed on the disk surface along the chess unit. The sets of players can be placed on the board and shifted along the board unit for play. Each chess set includes a sin function chess with a mathematical symbol sin, a cos function chess with a mathematical symbol cos, a tan function chess with a mathematical symbol tan, and a cot function chess with a mathematical symbol cot. The sec function chess with the mathematical symbol sec is marked, and the csc function chess with the mathematical symbol csc is indicated. The game is played by the chess group marked with mathematical symbols, which generates fun and simultaneously teaches students the basic trigonometric relationship.

Description

Basic trigonometric relationship chess

The present invention relates to a teaching aid, and in particular to a basic trigonometric relationship chess.

When educating students in middle, high school or higher vocational schools, they often use teaching aids to help students understand the concept of abstraction. In recent years, there have been many teaching aids and related teaching methods based on fun. The basic trigonometric function is an indispensable part of mathematics education. It is especially important to choose appropriate teaching aids and teaching methods.

Referring to FIG. 1, an existing watermelon chess board and a chess piece include a board 3 and a plurality of pieces 4, which can provide two players to play. During the play, the two sides hold different pieces of the pawn 4 and fall on the intersection of the lines in the figure, and surround the opponent's pawn 4 by sliding along the line between the intersections, so that the opponent's pawn 4 is out, and then the game wins. Although the watermelon chess board and the chess pieces are interesting, they cannot achieve the effect of educating students on the basic trigonometric function.

Therefore, the purpose of the present invention is to provide a basic trigonometric relationship game that has both the interest and the basic trigonometric function relationship of the educated student.

Thus, the novel basic trigonometric relationship chess includes a chessboard and a second chess set. The board includes a disk surface, a chess unit disposed on the disk surface, and a display unit disposed on the disk surface along the chess unit, the chess unit having a center point, a first line passing through the center point, and a a second line intersecting the first line with the center point, an inner loop line surrounding the center point, a loop line surrounding the outer loop line, and two respectively disposed at the intersection of the inner loop line and the first line The first chess point and the second chess point are respectively disposed at a second chess point where the inner loop line intersects the second straight line, and two are respectively disposed at a third chess point where the outer loop line intersects the first straight line, and two are respectively disposed on The fourth point at which the outer loop intersects the second line. The first straight line has two first outer segments between the inner loop line and the outer loop line. The second line has two second outer segments between the inner loop line and the outer loop line. The chess unit further has four fifth chess points respectively disposed on two sides of each first outer segment and located on the outer ring line, and four segments respectively disposed on two sides of each second outer segment and located on the outer ring line. Six chess points, two respectively pass the first extension line of the adjacent fifth chess points, and two respectively pass the second extension line of the adjacent sixth chess points. Each first extension line intersects the corresponding first outer segment and produces a seventh chess point and extends from the seventh chess point to a fifth chess point on either side. Each second extension line intersects the corresponding second outer segment and produces an eighth chess point and extends from the eighth chess point to a sixth chess point on either side.

The sets of players can be placed on the board and shifted along the board unit for play. Each chess set includes a sin function chess with a mathematical symbol sin, a cos function chess with a mathematical symbol cos, a tan function chess with a mathematical symbol tan, and a cot function chess with a mathematical symbol cot. The sec function chess with the mathematical symbol sec is marked, and the csc function chess with the mathematical symbol csc is indicated.

The effect of the novel is to play the game along the chess unit by the chess group marked with the mathematical symbol, to generate interest and to educate the student on the basic trigonometric relationship.

Before the present invention is described in detail, it should be noted that in the following description, similar elements are denoted by the same reference numerals.

Referring to FIG. 2 and FIG. 3, the first embodiment of the basic basic trigonometric relationship chess comprises a chessboard 1 and a second chessboard 2.

The board 1 includes a disk surface 11, a chess unit 12 disposed on the disk surface 11, a display unit 13 disposed on the disk surface 11 along the chess unit 12, and a marking unit 14.

The chess unit 12 has a center point 120, a first straight line L1 passing through the center point 120, a second straight line L2 perpendicular to the first straight line L1 and intersecting the center point 120, and a circular circle around the center The inner ring line R1 outside the point 120 is circularly surrounded by the outer ring line R2 outside the inner ring line R1, and the first check points 121 and 2 respectively disposed at the intersection of the inner ring line R1 and the first straight line L1 are respectively disposed on The second chess points 122 and 2 at the intersection of the inner loop line R1 and the second straight line L2 are respectively disposed at the third checkpoint 123 where the outer loop line R2 intersects the first straight line L1, and the two are respectively disposed on the outer loop line The fourth checkpoint 124 where R2 intersects the second straight line L2. The first straight line L1 has two first outer segments L11 interposed between the inner loop line R1 and the outer loop line R2. The second straight line L2 has two second outer segments L21 interposed between the inner loop line R1 and the outer loop line R2.

The chess unit 12 further has four fifth chess points 125 respectively disposed on each of the first outer segments L11 and located on the outer loop line R2, and four are respectively disposed on both sides of each second outer segment L21 and located at the The sixth checkpoints 126, 2 on the outer loop line R2 pass through the first extension line S1 of the adjacent fifth checkpoints 125, respectively, and the second pass through the second extension line S2 of the adjacent sixth checkpoints 126, respectively. Each first extension line S1 intersects the corresponding first outer segment L11 and produces a seventh checkpoint 127 and extends from the seventh checkpoint 127 to a fifth checkpoint 125 on either side. Each second extension line S2 intersects the corresponding second outer segment L21 and produces an eighth checkpoint 128 and extends from the eighth checkpoint 128 to a sixth checkpoint 126 on either side.

The disk surface 11 can be divided into a first chess zone 111, a second chess zone 112, and a third chess by the first straight line L1 and the second straight line L2 sequentially along a partitioning direction C1 surrounding the chess unit 12. Zone 113, and a fourth chess zone 114.

The marking unit 14 has a central marking 141, a first marking group 142, and a second marking group 143, which are marked with a number 1 and disposed at the center point 120.

The first set of indicators 142 has six first indicia 144 with mathematical symbols sin, cos, tan, cot, sec, csc, respectively. The second indicator 143 group has six second indicators 145 respectively labeled with mathematical symbols sin, cos, tan, cot, sec, csc. A first indicator 144, labeled sin, is placed at a fifth point 125 at the first chess zone 111. A first indication 144, labeled sec, is placed at a fifth checkpoint 125 positioned at the fourth chess zone 114. A second indicator 145, labeled cos, is disposed at a sixth checkpoint 126 positioned at the fourth chess zone 114. A second indicator 145, labeled csc, is placed at the sixth checkpoint 126 at the first chess zone 111. A first indicator 144 labeled tan is disposed at a fourth checkpoint 124 positioned between the first chess zone 111 and the fourth chess zone 114. A second indicator 145, labeled cot, is disposed at an eighth checkpoint 128 positioned between the first chess zone 111 and the fourth chess zone 114. A second indicator 145, labeled sin, is placed at the fifth point 125 at the second chess zone 112. A second indication 145, labeled sec, is placed at the fifth checkpoint 125 where the position is in the third chess zone 113. A first indication 144, labeled cos, is placed at a sixth checkpoint 126 positioned at the third chess zone 123. A first indicator 144, labeled csc, is placed at a sixth checkpoint 126 positioned at the second chess zone 112. A second indicator 145, labeled tan, is disposed at a fourth checkpoint 124 positioned between the second chess zone 112 and the third chess zone 113. A first indicator 144, labeled cot, is disposed at an eighth checkpoint 128 positioned between the second chess zone 112 and the third chess zone 113.

In this embodiment, the central indicator 141, the first indicator group 142, and the second indicator group 143 are labels, and are covered by the chess unit 12 in a pasting manner, and the three colors are different to produce different identifications. The effect of the position of the chess point, but it can also be effected by shape, structure or other means to distinguish the position of different chess points.

The board 2 can be placed on the board 1 and displaced along the board unit 12 for play. Each chess set 2 includes a sin function chess 21 marked with a mathematical symbol sin, a cos function chess 22 marked with a mathematical symbol cos, a tan function chess 23 marked with a mathematical symbol tan, and a cot marked with a mathematical symbol cot The function chess 24, a sec function chess 25 marked with a mathematical symbol sec, and a csc function chess 26 marked with a mathematical symbol csc.

In the present embodiment, the chess sets 2 are different in color from each other, and one of the chess sets 2 has a diamond shape, and the other chess set 2 has a rectangular shape, thereby generating an effect of discriminating different chess sets 2. However, it is also possible to produce the effect of discriminating different groups 2 in a structural or other manner.

In this embodiment, the sin function chess 21, the cos function chess 22, the tan function 23, the cot function chess 24, the sec function chess 25 and the csc function chess 26 of the chess set 2 are marked with mathematical symbols in the manner of the pigment covering the surface. . However, it is also possible to mark the mathematical symbols in a surface recessed manner, or to mark the mathematical symbols in such a manner that the surface is concave and filled with pigments of different colors.

When two people play, the two sides respectively use different chess sets 2 and place them on the chessboard 1 to represent different camps, and then use the inverse relationship of the basic trigonometric function, the quotient relationship and the square relationship to generate a victory condition.

As shown in Fig. 4, Fig. 5 and Fig. 6, the victory condition is that the player's own group 2 shift is used in turn, and when the adjacent function chess matches the center point 120 in a square relationship, it is regarded as winning. The square relationship is: , , . When the player uses his own chess set 2 to shift and conforms to the quotient relationship, the player's function chess that is adjacent in the non-linear direction can be removed. The quotient relationship is: , . When the player uses his own chess set 2 to shift and conforms to the reciprocal relationship, the player's function chess adjacent in the straight line direction can be removed. The reciprocal relations are: , , .

Referring to FIG. 7, a second embodiment of the basic basic trigonometric relationship chess includes a board 1 and a second board 2.

The inner loop R1 of the board 1 has a rectangular shape surrounding the center point 120, and the outer loop line R2 is rectangularly surrounded by the outer loop line R1. Each of the first extension lines S1 and the outer ring line R2 form a rectangle, and each of the second extension lines S2 and the outer ring line R2 form a rectangle. The play mode of the second embodiment is the same as that of the first embodiment, and is not affected by the structure.

In summary, the basic basic trigonometric relationship chess, by which the chess group 2 marked with a mathematical symbol is shifted along the chess unit 12 for game play, generates interestingness and simultaneously educates students on the basic trigonometric function relationship, so it is true that Can achieve the purpose of this new type.

However, the above is only the embodiment of the present invention, and when it is not possible to limit the scope of the present invention, all the simple equivalent changes and modifications according to the scope of the patent application and the contents of the patent specification are still This new patent covers the scope.

1‧‧‧ chessboard
11‧‧‧
111‧‧‧First chess area
112‧‧‧Second chess area
113‧‧‧The third chess area
114‧‧‧fourth chess area
12‧‧‧Chess unit
120‧‧‧ center point
121‧‧‧The first chess point
122‧‧‧ second chess point
123‧‧‧ Third chess point
124‧‧‧fourth chess point
125‧‧‧ fifth chess point
126‧‧‧The sixth chess point
127‧‧‧ seventh chess point
128‧‧‧8th chess point
13‧‧‧Display unit
14‧‧‧Marking unit
141‧‧‧Central marking
142‧‧‧First Marking Group
143‧‧‧Second marking group
144‧‧‧ first sign
145‧‧‧ second sign
2‧‧‧Chess
21‧‧‧sin function chess
22‧‧‧cos function chess
23‧‧‧tan function chess
24‧‧‧cot function chess
25‧‧‧sec function chess
26‧‧‧csc function chess
C1‧‧‧Division direction
L1‧‧‧ first straight line
L11‧‧‧ first external segment
L2‧‧‧Second straight line
L21‧‧‧Second external section
R1‧‧‧ Inner Ring Road
R2‧‧‧ outer loop
S1‧‧‧ first extension line
S2‧‧‧ second extension line

Other features and effects of the present invention will be clearly shown in the embodiments with reference to the drawings, wherein: FIG. 1 is a top view of a conventional watermelon chess board and a chess piece; FIG. 2 is a basic triangular function of the present invention. A top view of a first embodiment; FIG. 3 is a cross-sectional view of the first embodiment taken along line III-III of FIG. 2; (a) of FIG. 4 is a game of a sin function and a cos The function chess matches a schematic diagram of a central point in accordance with the square relationship, and the figure (b) is another schematic diagram conforming to the square relationship; FIG. 5 is a quotient relationship between the sin function chess and the cos function chess in the game and can remove different camps. A schematic diagram of the sin function chess; FIG. 6 is a schematic diagram of the sin function chess and a csc function chess in a game with a reciprocal relationship and can remove the sin function chess and the cos function chess of different camps; and FIG. 7 is a basic trigonometric function of the present invention. A top view of a second embodiment of the relationship chess.

Claims (12)

A basic trigonometric relationship chess comprising: a board comprising a disk surface, a chess unit disposed on the disk surface, and a display unit disposed on the disk surface along the chess unit, the chess unit having a center point, a first straight line passing through the center point, a second straight line intersecting the first straight line at the center point, an inner loop line surrounding the outside of the center point, a loop line surrounding the outer loop line, and two respectively disposed on the outer loop line a first checkpoint at which the inner loop intersects the first straight line, a second checkpoint respectively disposed at an intersection of the inner loop and the second straight line, and a second checkpoint respectively disposed at an intersection of the outer loop and the first straight line a third chess point, and a second chess point respectively disposed at an intersection of the outer loop line and the second straight line, the first straight line having two first outer segments between the inner loop line and the outer loop line, The second straight line has two second outer segments between the inner loop line and the outer loop line, and the checker unit further has four fifth chesss respectively disposed on each side of each first outer segment and located on the outer loop line. Point, four separately a sixth chess point placed on both sides of each second outer segment and located on the outer ring line, two passing through the first extension line of the adjacent fifth chess point, and two passing through the adjacent sixth chess point respectively a second extension line, each first extension line intersecting the corresponding first outer segment and generating a seventh chess point and extending from the seventh chess point to a fifth chess point on both sides, each second extension line and Corresponding second outer segments intersect and generate an eighth chess point and extend from the eighth chess point to a sixth chess point on both sides; and two chess sets can be placed on the chessboard and shifted along the chess unit In the game, each chess set includes a sin function chess with a mathematical symbol sin, a COS function chess with a mathematical symbol cos, a tan function chess with a mathematical symbol tan, and a cot function chess with a mathematical symbol cot. , a sec function chess with a mathematical symbol sec, and a csc function chess with a mathematical symbol csc. The basic trigonometric relationship game of claim 1, wherein the disk surface of the board is divided into a first chess zone by the first straight line and the second straight line in a partitioning direction surrounding the chess unit, a second chess zone, a third chess zone, and a fourth chess zone, the chessboard further comprising a marking unit having a central marking and a first marking marked with a number 1 and disposed at the center point a group, and a second label group, the first label group having six first labels respectively indicating mathematical symbols sin, cos, tan, cot, sec, csc, and the second label group having six respectively marked with a mathematical symbol sin a second indication of cos, tan, cot, sec, csc, indicating that the first indication of sin is set at a fifth chess position whose position is in the first chess area, and the first indication marked with sec is set at the position The fifth chess point of the four chess area, the second mark marked with cos is set at the sixth check point where the position is in the fourth chess area, and the second mark marked with csc is set at the sixth position of the first chess area. Chess point, marked with the first indicator of tan set at the position a fourth checkpoint between the first chess zone and the fourth chess zone, and a second mark marked with a cot is disposed at an eighth checkpoint positioned between the first chess zone and the fourth chess zone, marked with The second indication of sin is set at the fifth checkpoint where the position is in the second chess zone, and the second indication marked with sec is set at the fifth checkpoint where the position is in the third chess zone, indicating the first indication setting of cos At a sixth checkpoint where the position is in the third chess zone, the first indication marked with csc is set at the sixth checkpoint where the position is in the second chess zone, and the second indication marked with tan is set at the second position. A fourth checkpoint between the chess zone and the third chess zone, the first mark marked with cot is set at an eighth checkpoint where the position is between the second chess zone and the third chess zone. The basic trigonometric relationship chess as claimed in claim 2, wherein the central indication of the board, the first indicator group, and the second indicator group are different colors from each other. The basic trigonometric relationship chess according to claim 2, wherein the central label, the first label group and the second label group of the board are labels and are covered by the board unit in a pasting manner. The basic trigonometric relationship chess according to claim 1, wherein the inner and outer loops of the board are one of a rectangle and a circle. The basic trigonometric relationship chess according to claim 1, wherein each of the first extension lines and the outer loop line form a rectangle, and each of the second extension lines and the outer loop line form a rectangle. The basic trigonometric relationship chess as claimed in claim 1, wherein the sin function chess, the cos function chess, the tan function, the cot function chess, the sec function chess, and the csc function chess of the chess sets are covered by a pigment on the surface. Mark the mathematical symbols. The basic trigonometric relationship chess as claimed in claim 1, wherein the sin function chess, the cos function chess, the tan function, the cot function chess, the sec function chess, and the csc function chess of the chess groups are marked by surface recession. Mathematics Symbol. The basic trigonometric relationship chess as recited in claim 8 wherein the functional chess marks mathematical symbols in a manner that is concave in the surface and filled with pigments of different colors. The basic trigonometric relationship chess as claimed in claim 1, wherein the first straight line and the second straight line of the checkerboard are perpendicular to each other. The basic trigonometric relationship chess as described in claim 1 wherein the groups of chess are different in color from each other. The basic trigonometric relationship chess according to claim 1, wherein one of the chess sets has a diamond shape and the other chess set has a rectangular shape.