By Fig. 1,2,3,4,5,6, it has bottom 3,
lining 2 and top layer 1 the utility model, it is characterized in that described
lining 2 its positive bottom surfaces with top layer 1 are bonding, the reverse side of
lining 2 and bottom 3 surperficial bonding; The described numerical expression of claim 1 that has that is printed on the numerical expression tag slot on 3 its surfaces, described top layer is calculated card, it is characterized in that above-mentioned top layer 1, the numerical expression tag slot that is printed on its surface is respectively that the once homogeneous formula of the binary district 6 of the homogeneous formula central area 4 of dihydric phenol, the equation with two unknowns district 5 of upper and lower symmetry, left and right symmetry, number symbol upper left, that the lower right corner is symmetrical distinguish 7.Calculate card according to
claim 1,2 described numerical expressions, it is characterized in that the homogeneous formula central area 4 of dihydric phenol in 1 its numerical expression tag slot, above-mentioned top layer, in this district respectively 72 of correspondences all can be decomposed into the once algebraic expression of homogeneous formula of two binary.Calculate card according to
claim 1,2 described numerical expressions, it is characterized in that the equation with two unknowns district 5 of the upper and lower symmetry in 1 its numerical expression tag slot, above-mentioned top layer, can corresponding upper and lower identical equation with two unknowns in this district.Calculate card according to
claim 1,2 described numerical expressions, it is characterized in that the once homogeneous formula of the binary district 6 of the left and right symmetry in 1 its numerical expression tag slot, above-mentioned top layer, can the once homogeneous formula of corresponding left and right binary inequality in this district.Numerical expression according to claim 12 is calculated card, it is characterized in that above-mentioned top layer 1, number symbol upper left, that the lower right corner is symmetrical in its numerical expression tag slot distinguishes 7, can distinguish two operational symbols "+" of corresponding 13 digits " 0 " to " 1,2 ", "-" and 26 letter symbols " A " in this district to " Z ".Calculate card according to claim 1,6 described numerical expressions, it is characterized in that above-mentioned number symbol district 7, it is upper left, the digit in the lower right corner can be respectively a numeral " 0,1,4,5,6,7,8,9,10,11,12 ", and respectively is divided into each digit of 11 kinds of red, black dichromatism.Calculate card according to claim 1,6 described numerical expressions, it is characterized in that above-mentioned number symbol district 7, it is upper left, the digit in the lower right corner can be the digit of four kinds red " 2 " and black " 2 " respectively.Numerical expression according to claim 6 is calculated card, it is characterized in that above-mentioned number symbol district 7, and it is upper left, the digit in the lower right corner can be the digit of three kinds red " 3 " and black " 3 " respectively.Numerical expression according to claim 6 is calculated card, it is characterized in that above-mentioned number symbol district 7, and it is upper left, the operational symbol in the lower right corner "+", "-" can be respectively the operational symbols of corresponding six kinds of black, red dichromatism letter symbols.Numerical expression according to claim 6 is calculated card, it is characterized in that above-mentioned number symbol district 7, and it is upper left, the letter in lower right corner symbol can be red, black dichromatism respectively
Each a kind of alphabetical vertical setting of types row
Letter symbol.Numerical expression according to claim 6 is calculated card, it is characterized in that above-mentioned number symbol district 7, the below that it is upper left, the letter in lower right corner symbol can be positioned at digit.Numerical expression according to claim 6 is calculated card, it is characterized in that above-mentioned number symbol district 7, and it is upper left, the letter in lower right corner symbol, can be positioned at the below of operational symbol.Calculate card according to claim 6,12 described numerical expressions, it is characterized in that above-mentioned counting accords with district 7, it is upper left, the letter in lower right corner symbol " A, B " can be the below that red, black dichromatism respectively is sequentially arranged in digit " 1,2,3 " for three times respectively.Calculate card according to claim 6,12 described numerical expressions, it is characterized in that above-mentioned counting accords with district 7, it is upper left, the letter in lower right corner symbol " C " can be the below that red, black dichromatism respectively is sequentially arranged in digit " 2,3,4 " for three times respectively.Calculate card according to claim 6,12 described numerical expressions, it is characterized in that above-mentioned counting accords with district 7, it is upper left, the letter in lower right corner symbol " D " can be the below that red, black dichromatism respectively is sequentially arranged in digit " 2,4,5 " for three times respectively.Calculate card according to claim 6,12 described numerical expressions, it is characterized in that above-mentioned counting accords with district 7, it is upper left, the letter in lower right corner symbol " E " can be the below that red, black dichromatism respectively is sequentially arranged in digit " 5,6,7 " for three times respectively.Calculate card according to claim 6,12 described numerical expressions, it is characterized in that above-mentioned counting accords with district 7, it is upper left, the letter in lower right corner symbol " F " can be the below that red, black dichromatism respectively is sequentially arranged in digit " 6,7,8 " for three times respectively.Calculate card according to claim 6,12 described numerical expressions, it is characterized in that above-mentioned number symbol district 7, it is upper left, the letter in lower right corner symbol " G " can be the below that red, black each secondary of dichromatism is sequentially arranged in digit " 8,9 " respectively.Calculate card according to claim 6,12 described numerical expressions, it is characterized in that above-mentioned counting accords with district 7, it is upper left, the letter in lower right corner symbol " G " can be the below that red, black dichromatism respectively once is arranged in operational symbol "+", "-" respectively.Calculate card according to claim 6,12 described numerical expressions, it is characterized in that above-mentioned number symbol district 7, it is upper left, the letter in lower right corner symbol " H " can be the below that red, black each secondary of dichromatism is sequentially arranged in digit " 9,10 " respectively.Calculate card according to claim 6,12 described numerical expressions, it is characterized in that above-mentioned number symbol district 7, it is upper left, the letter in lower right corner symbol " H " can be red, black dichromatism each once be arranged in the below of operational symbol "+,-".Calculate card according to claim 6,12 described numerical expressions, it is characterized in that above-mentioned number symbol district 7, it is upper left, the letter in lower right corner symbol " I " can be the below that red, black each secondary of dichromatism is sequentially arranged in digit " 10,11 ".Calculate card according to claim 6,12 described numerical expressions, it is characterized in that above-mentioned number symbol district 7, it is upper left, the letter in lower right corner symbol " I " can be red, black dichromatism each once be arranged in the below of operational symbol "+,-".Calculate card according to claim 6,12 described numerical expressions, it is characterized in that above-mentioned number symbol district 7, it is upper left, the letter in lower right corner symbol " J " can be the below that red, black each secondary of dichromatism is sequentially arranged in digit " 11,12 ".Calculate card according to claim 6,12 described numerical expressions, it is characterized in that above-mentioned number symbol district 7, it is upper left, the letter in lower right corner symbol " J " can be red, black dichromatism each once be arranged in the below of operational symbol "+,-".Calculate card according to claim 6,12 described numerical expressions, it is characterized in that above-mentioned number symbol district 7, it is upper left, the letter in lower right corner symbol " K " can be the below that red, black each secondary of dichromatism is arranged in digit " 12,0 ".Calculate card according to claim 6,12 described numerical expressions, it is characterized in that above-mentioned number symbol district 7, it is upper left, the letter in lower right corner symbol " K " can be red, black dichromatism each once be arranged in the below of operational symbol "+,-".Calculate card according to claim 6,12 described numerical expressions, it is characterized in that above-mentioned number symbol district 7, the below that it is upper left, the letter in lower right corner symbol " L " can be red, black dichromatism and each once is arranged in digit " 0 " and operational symbol " ,+" respectively.Specifically, upper left corner numeral is 0,1,4,5,6,7,8,9,10,11,12 board respectively has black, red two (totally 2 * 11 * 2), numeral is that 2 board respectively has black, red four (totally 4 * 2), numeral is that 3 board respectively has black, red three (totally 3 * 2), and sign of operation has only "+" (black) and "-" (redness) and six (totally 6 * 2), also have two " hundred can " boards "
" (black, red each one, totally 1 * 2), amount to 72; English alphabet A, B, C ... I, J, K respectively has black, red three (totally 2 * 11 * 3), English alphabet L respectively has black, red two (totally 2 * 2), counting " king " board " 2J " again in also is 72, in the black board, alphabetical A, B appears at
numeral 1,2, under 3 each three times, letter C the
numeral 2,3, under 4 totally three times, alphabetical D is 2,4, under 5 totally three times, letter e is in numeral 5,6, under 7 totally three times, alphabetical F is in numeral 6,7, under 8 totally three times, the letter G the
numeral 8,9 and symbol "+" under totally three times, alphabetical H the
numeral 9,10 and symbol "+" under totally three times, the letter I the numeral 10,11 and symbol "+" under totally three times, alphabetical J the numeral 11,12 and symbol "+" under totally three times, the letter K the
numeral 12,0 and symbol "+" under totally three times, alphabetical L the
numeral 0 and symbol "+" under twice totally.In the red board, the layout of numeral (symbol) and letter is basic identical.
In every board central authorities, a square frame is arranged, wherein be printed on the homogeneous formula of dihydric phenol, coefficient mostly is an integer, totally 72 different algebraic expressions, they all can be decomposed into two once homogeneous formulas of binary, mostly are integer quotients also, as X
2+ XY-2Y
2, it can be decomposed into (X-Y) (X+2Y); Every board upper and lower has identical equation with two unknowns, and about 1/3 for linear equation in two unknowns adds 2X+Y+1=0, and remaining equation with two unknowns has binary quadratic equation, the equation with two unknowns of band radical etc., and as X (1-Y)=6,
The once homogeneous formula of binary inequality is arranged, as-X+6Y and X+9Y etc. about every board.
This calculation card is that collection is interesting, and intellectual is scientific in the learning aid of one, and its various methodologies has covered a large amount of important knowledge points in primary school's junior middle school, arithmetic sum middle school algebraically, and it can improve students in middle and primary schools' arithmetic capability, particularly ability of mental arithmetic by playing; Can encourage student's immunologing mathematics by recreation, with the enthusiasm of mathematics; By recreation, can improve student's individual character, as competitive spirit, team unity spirit etc.
When this numerical expression of design is calculated card, follow principle all the time towards the school, can make all meetings of learning of every student (comprising the student that learning mathematics is laggard) by recreation, play interestingly.This calculation card has two distinguishing features; The one, it can help each student to grasp knowledge point crucial in the mathematics subject, improves arithmetic capability; The 2nd, it has polytrope, can adapt to the needs of each type student, and what the basis was poor can learn, good more can the improving in basis.Below, introduce the using method that several numerical expressions are calculated card according to the technical scheme among the embodiment again.
The 5th kind of method-six closed (one) (playing methods of four people)
1, knowledge requirement: grasp the arithmetic of simple decimal;
2, prepare before playing; Pure decimal of red numeral on the upper right corner of numeral board, the black nonzero digit is represented a positive integer, such as red
Expression 0.2 is
black
Expression 2, the also red expression 0.12 of regulation, black
Expression 12.Four-player is divided into two sides, and friend sits facing each other.
3, shuffle, take domino finish after, each one should just in time have 18 boards, then each one checks whether three symbol cards are arranged in the board in the own hand just, and wherein has again for existing No. ten No. one, otherwise must substitute mutually, lacking the symbol card person can select (or taking out) to get symbol card from the hand that has more symbol card, and then allows the other side extract the digital board of same quantity from the digital board of oneself.
4, substitute finish after, everyone 18 boards in the hand by add, subtract, add deduct, multiplication and division or the order that removes form six formulas.Such as carrying out combination and permutation like this with board
In
With
Be respectively the reverse side of one card, represent the multiplication sign and the division sign respectively.More than each formula be respectively 3+0.2,11-1,2-0.4,2 * 0.3,3 ÷ 0.5,12 * 0.5 must be noted that aliquot when repeatedly board is formed the division formula.
5, after each one group formula finished, four-player was revealed first addition formula simultaneously, and each one must accurately say its represented number, otherwise just can not score, then the size of four numbers relatively, the person that goes out the maximum number got 3 fens for first place, at this moment can be all close distributional as oneself of the board of putting forward.Second place got 2 fens, extracted out in the board that oneself is got to be used as distributionally in two opening and closing, and another is still bright on bidge table and must be by the branch of oneself.Third got 1 fen.Fourth is score not, and at this moment the board of just oneself being got is complete bright on bidge table.Be locked in a tie for first if any two people, then each got 3 fens, all the other two people are still 1 fen and zero.
After first leg finished, each one revealed second formula ...In each bout separating method and above said method are identical, in game process, everyone must note repeatedly putting respectively neatly oneself distributional with the useless board of mistake at any time.
6, carry out six bouts after, the first game of recreation just comes to an end, so just add up and write down the distributional number of each side, then each one just transfers their player whose turn comes next to together oneself distributional with the useless board of mistake, so just can begin to carry out second game and compete.In this way altogether must be by turns three times, just can make victory or defeat after having carried out four innings.
Win victory with big person for preceding two innings, separating method done introduction, last two sets are won victory with little person, promptly relatively during each number big or small, go out minimum number person and get 3 fens for first place in each bout.
First method-correspondence (one), (four people's playing methods)
1, knowledge requirement: can separate various simple equations,
2, prepare before playing; Carrying out this recreation needs with two secondary boards, before the recreation beginning, need organize from the A of deck by students ' actual situation earlier organize to J (I organize except) extract some groups out.(these boards are referred to as equation pieces) repeatedly is placed on bidge table central authorities, and board is towards last, and four people are divided into first and second liang of sides, and friend sits facing each other, and on behalf of absolute value, hundred can be not more than any one integer of 12 by board, also can represent unlike signs.
3, take domino; Deck is grabbed entirely to each staff in addition, and everyone must have three symbol cards in the hand, 15 digital boards (comprising hundred energy boards).
4, go out the X value; Correspond to example to beat the A group, the equation pieces that contains alphabetical A is repeatedly being put in bidge table central authorities.Both sides respectively have an opening lead to represent the X value of equation in the equation pieces.
Represent the available numerals of number with board, also available two digital boards by+,-, *, the formula of certain computing composition is represented number among the ÷, power.
If the two people branch of speed of having played a card when representing the X value with board, then slow person can not repeat the numeral that fast person goes out.
5, go out the Y value; It is complete that two people go out the X value, then they to the play a card Y value of expression and X value correspondence of family, be-X=1-Y to get the board of representing the X value earlier and be such as the equation of facing
Promptly 6, his should be 7 to the play a card number of expression of family.
6, win board; As in one bout, a side plays a card correctly, and then the board that can get two people in this bout is as this side's win board.
As the expression Y value of can't playing a card of the person of playing a card after among the side, then only getting the board of representing the X value win board earlier as this side.
As the board of having made mistakes, then this side can not win board in this bout, and at this moment two people just regain the board of getting separately in the hand.
7, change preface; After one bout finishes, just can rout up next equation pieces, in new bout, will change the order of playing a card, the expression X value person that promptly in last bout, plays a card, in new bout, the expression Y value of will playing a card.
8, by turns; After carrying out six bouts, the first game of recreation just comes to an end, so just add up and write down the win board number of each side.Then each one just transfers board remaining in win board of oneself and the hand to their the right one family together, so just can begin to carry out second game and compete.
After carrying out two innings, with the victory or defeat that how much decides of each side's total points.
The third method-work, (number of participant is not limit)
1, knowledge requirement; Grasp binomial multiplication.
2, go out multiplier; The person that at first do not take domino gets two binomial boards, require these two binomial long-pending in the coefficients of XY must be that absolute value is not more than 12 integer, otherwise just must reppear and in the end add up each one and win when board is counted and will deduct.
3 go out coefficient; After the binomial board was up to, all the other each one must the play a card coefficient of XY in they long-pending of expression was got the bridge queen and is closed earlier, each one all sprouts with when after bright again opening.
4, stay board; Go out the coefficient board correct and be the first place person of playing a card when one bout finishes, stay on the bidge table black numbers board be placed on oneself in face of.Correct but the slow person of speed of playing a card can stay a digital board of redness in front own.
5, work; The correct still whipper-in person of playing a card that plays a card must work once.So-called work is exactly correctly to read the binomial multiplied result.Such as facing two boards
Should read X
2Add that XY deducts 6Y.As read correctly, and can in face of own, stay a digital board of redness, as misread number, then in face of own, stay a symbol card.
It is wrong to play a card, and also must work, as read rightly can stay a symbol card in face of own, as misread then and can not stay board.
6, score; A black numbers board is remembered 3 fens, and the digital board of redness is remembered 2 fens, and a symbol card is remembered 1 fen.
Play as four-player, must carry out four-wheel; Three people play, and must carry out six and take turns, and how much decide ranking with score value at last.