你会玩“24点”扑克牌游戏吗？抽出1,4,7,8这四张牌，请使用“+”“-”“*”“/”或括号，组成得数是24算式_百度知道
你会玩“24点”扑克牌游戏吗？抽出1,4,7,8这四张牌，请使用“+”“-”“*”“/”或括号，组成得数是24算式
你会玩“24点”扑克牌游戏吗？抽出1,4,7,8这四张牌，请使用“加”“减”“乘”“除蓼惺草臼禺铰碴歇厂忙”或括号，组成得数是24算式
4×8﹣（7＋1）=24
其他类似问题
按默认排序
其他4条回答
“巧算24点”是一种数学游戏，游戏方式简单易学，能健脑益智，是一项极为有益的活动。 “巧算24点”的游戏内容如下：一副牌中抽去大小王剩下52张（如果初练也可只用1~10这40张牌）任意抽取4张牌（称牌组），用加、减、乘、除（可加括号）把牌面上的数算成24，每张牌必须用一次且只能用一次，如抽出的牌是3，8，8，9，那么算式为（9－8）×8×3或3×8＋（9－8)或（9－8÷8）×3等。计算24点的技巧 “算24点”作为一种扑克牌智力游戏，还应注意计算中的技巧问题，计算时，我们不可能把牌面上的4个数的不同组合形式——去试，更不能瞎碰乱凑，这里像大家介绍几种常用的、便于学习掌握的方法： 1、利用3×8=24、4×6=24求解 把牌面上的4个数想办法凑成3和8，4和6，再相乘求解。如3、3、6、10可组成（10－6÷3）×3=24等，又如2、3、3、7可组成（7＋3－2）×3=24等，心懂搁钢藓肺个识钩讲实践证明，这种方法是利用率最大，命中率最高的一种方法。 利用0、11的运算特性求解如3、4、4、8可组成3×8＋4－4=24等，又如4、5、J、K可组成11×（5－4）＋13=24等。 3、在有解的牌组中，用得最为广泛的是以下六种解法：（我们用a、b、c、d表示牌面上的四个数） ①（a－b)×（c＋d) 如（10－4）×（2＋2）=24等 ②（a＋b)÷c×d
如（10＋2）÷2×4=24等 ③（a－b÷c)×d
如（3－2÷2）×12=24等 ④（a＋b－c)×d
如（9＋5－2）×2=24等 ⑤ a×b＋c－d
如11×3＋1－10=24等 ⑥（a－b)×c＋d
如（4－1）×6＋6=24等
4*8-7-1=24
(7-4)/1*8=24
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出门在外也不愁/nn-1catlan f(n) = (1/n * (2*n - 2)! / (n-1)! / (n-1)!) * n! * 4^(n-1) = 4^(n-1) * (2*n-2)! / (n-1)! n=4 7680
n26n-121g(n)=(n*(n-1)/2*6) * ((n-1)*(n-2)/2*6) * ((n-2)*(n-3)/2*6) * (2*1/2*6) = n!*(n-1)!*3^(n-1)n=43888 ()
f(n) / g(n) = (4/3)^(n-1) * (2*n-2)! / n! / (n-1)! / (n-1)!
nn8 f(n) & g(n)f(10)/g(10)=0.178
f(n)g(n)n2
: abcd42 a+b+01
ab/ a-bb-aa/bb/a
6 a+b, a-b, b-a, a*b, a/b, b/a
a = a1 op1 a2
&& &&&& (a-b)-ca-(b+c)
abcda+ccbbc (a+c) + b
(a+c) – b a+b+c a-b+c
a = a1 op1 a2 b= b1 op2 b2
a op3 b = a1 op1 a2op3 (b1 op2 b2)
((a1 op4 a2) op5 b1) op6 b2 (m1+m2)(m3-m4)
op2 op3 ((c1 op4 c2) op5 c3) op6 c4(m1+m2)(m3*m4)
&&&& &&&&op1
（在笔记1.3 一摞烙饼的排序 中已经说明了这个问题n24n=6n
书上的解法二实现&1#include&&iostream&&2#include&&string&&3#include&&set&&4#include&&cmath&&5using&namespace&&6&7bool&calc(int&src[],&size_t&N,&double&M&=&<span style="COLOR: #.0)&8{&9&&if&(N&==&<span style="COLOR: #&||&src&==&NULL)&return&false;<span style="COLOR: #&&set&double&&result[<span style="COLOR: #&&&&N];<span style="COLOR: #&&for&(size_t&i&=&<span style="COLOR: #;&i&&&N;&++i)&result[<span style="COLOR: #&&i].insert((double)src[i]);&<span style="COLOR: #&&<span style="COLOR: #&&for&(size_t&i&=<span style="COLOR: #;&i&&&(<span style="COLOR: #&&N);&++i)&{<span style="COLOR: #&&&&for&(size_t&j&=&<span style="COLOR: #;&j&&=&(i&&&&<span style="COLOR: #);&++j)&{<span style="COLOR: #&&&&&&&if&((i&&&j)&!=&j)&continue;<span style="COLOR: #&&&&&&&for&(set&double&::iterator&p&=&result[j].begin();&p&!=&result[j].end();&++p)&{<span style="COLOR: #&&&&&&&&&double&va&=&*p;<span style="COLOR: #&&&&&&&&&size_t&k&=&i&^&j;<span style="COLOR: #&&&&&&&&&for&(set&double&::iterator&q&=&result[k].begin();&q&!=&result[k].end();&++q)&{<span style="COLOR: #&&&&&&&&&&&double&vb&=&*q;<span style="COLOR: #&&&&&&&&&&&result[i].insert(va&+&vb);<span style="COLOR: #&&&&&&&&&&&result[i].insert(va&-&vb);<span style="COLOR: #&&&&&&&&&&&result[i].insert(vb&-&va);<span style="COLOR: #&&&&&&&&&&&result[i].insert(va&*&vb);<span style="COLOR: #&&&&&&&&&&&if&(vb&!=&<span style="COLOR: #.0)&result[i].insert(va&/&vb);<span style="COLOR: #&&&&&&&&&&&if&(va&!=&<span style="COLOR: #.0)&result[i].insert(vb&/&va);<span style="COLOR: #&&&&&&&&&}<span style="COLOR: #&&&&&&&}<span style="COLOR: #&&&&}&<span style="COLOR: #&&}<span style="COLOR: #&&<span style="COLOR: #&&size_t&j&=&(<span style="COLOR: #&&&&N)&-&<span style="COLOR: #;<span style="COLOR: #&&const&double&zero&=&1e-<span style="COLOR: #;<span style="COLOR: #&&for&(set&double&::iterator&p&=&result[j].begin();&p&!=&result[j].end();&++p)&{<span style="COLOR: #&&&&if&(fabs(*p&-&M)&&&zero)&return&true;<span style="COLOR: #&&}<span style="COLOR: #&&return&false;<span style="COLOR: #}<span style="COLOR: #<span style="COLOR: #int&main()<span style="COLOR: #{<span style="COLOR: #&&//int&src[]={13,&773,&28,&98,&731,&6};<span style="COLOR: #&&int&src[]={<span style="COLOR: #,&<span style="COLOR: #3,&<span style="COLOR: #,&<span style="COLOR: #,&<span style="COLOR: #1,&<span style="COLOR: #357246};<span style="COLOR: #&&cout&&&&calc(src,sizeof(src)/sizeof(src[<span style="COLOR: #]))&&<span style="COLOR: #}<span style="COLOR: #
#include&iostream&#include&sstream&#include&cmath&using&namespace&const&double&Result&=&<span style="COLOR: #;const&size_t&Cards&=&<span style="COLOR: #;double&number[Cards]={<span style="COLOR: #,<span style="COLOR: #,<span style="COLOR: #,<span style="COLOR: #,<span style="COLOR: #,<span style="COLOR: #};char&op[Cards+<span style="COLOR: #]&=&{<span style="COLOR: #};size_t&pos[Cards];static&long&long&count1=<span style="COLOR: #;static&long&long&count2=<span style="COLOR: #;static&bool&calc(size_t&step);inline&bool&calc2(size_t&step,&size_t&i,&double&na,&double&nb,&char&op9){&&op[i]&=&op9;&&switch&(op9)&{&&&&case&'+':&&&number[i]&=&na&+&&break;&&&&case&'-':&&&number[i]&=&na&-&&break;&&&&case&'*':&&&number[i]&=&na&*&&break;&&&&case&'/':&&&number[i]&=&na&/&&break;&&&&default&:&break;&&}&&return&calc(step-<span style="COLOR: #);}inline&bool&iszero(double&num){&&const&double&Zero&=&1e-<span style="COLOR: #;&&&if&(num&&&Zero&||&num&&&-<span style="COLOR: #.0&*&Zero)&return&false;&&&return&true;}size_t&getop(const&char&op9){&&static&size_t&arr[<span style="COLOR: #6]=&{<span style="COLOR: #};&&&arr['+']=<span style="COLOR: #,arr['-']=<span style="COLOR: #,arr['*']=<span style="COLOR: #,arr['/']=<span style="COLOR: #;&&return&arr[(size_t)op9];}bool&calc(size_t&step){&&++count1;&&if&(step&&=&<span style="COLOR: #)&{&&&&++count2;&&&&&&&if&(fabs(number[<span style="COLOR: #]&-&Result)&<span style="COLOR: #e-<span style="COLOR: #)&{&&&&&&return&true;&&&&&}&&&&&&return&false;&&}&&&for(size_t&i&=&<span style="COLOR: #;&i&&&&i++){&&&&for(size_t&j&=&i&+&<span style="COLOR: #;&j&&&&j++)&{&&&&&&double&na&=&number[i];&&&&&&double&nb&=&number[j];&&&&&&unsigned&char&op1=op[i];&&&&&&unsigned&char&op2=op[j];&&&&&&op[j]&=&op[step&-&<span style="COLOR: #];&&&&&&number[j]&=&number[step&-&<span style="COLOR: #];&&&&&&bool&ba=true,&bb=true;&&&&&&size_t&v=getop(op1)+getop(op2);&&&&&&&&&&&&if&(v==<span style="COLOR: #)&ba=bb=false;&&&&&&else&if&(v==<span style="COLOR: #)&ba=false;&&&&&&else&if&(v==<span style="COLOR: #)&bb=false;&&&&&&//&else&if&(v==1&||&v==4)&{&&&&&&&&//&unsigned&char&ch2=&op1&+&op2;&&&&&&&&&&&&&&//&if&(ch2=='-')&ba=&&&&&&&&//&else&if&(ch2=='/')&bb=&&&&&&//&}&&&&&&&&&&&&&&&&&&//if&(v==5)&ba=bb=&&&&&&//&else&if&(((v-1)&v)==0)&{&//case:&1&2&4&8&&&&&&&&//&if&(v==2)&ba=&&&&&&&&//&else&if&(v==8)&bb=&&&&&&&&//&else&{&&&&&&&&&&//&unsigned&char&ch2=&op1&|&op2;&&&&&&&&&&&&&&&&//&if&(ch2=='-')&ba=&&&&&&&&&&//&else&if&(ch2=='/')&bb=&&&&&&&&&&&&&&&&&&//&}&&&&&&&&&//&}&&&&&&&&&&&&&&&//if&(1)&ba=bb=&&&&&&&&&&&&&&&if&(ba)&{&&&&&&&&if&(calc2(step,&i,&na,&nb,&'+'))&return&true;&&&&&&&&if&(calc2(step,&i,&na,&nb,&'-'))&return&true;&&&&&&&&if&(calc2(step,&i,&nb,&na,&'-'))&return&true;&&&&&&}&&&&&&if&(bb)&{&&&&&&&&if&(calc2(step,&i,&na,&nb,&'*'))&return&true;&&&&&&&&if&(!&iszero(nb)&&&&calc2(step,&i,na,&nb,&'/'))&return&true;&&&&&&&&if&(!&iszero(na)&&&&calc2(step,&i,nb,&na,&'/'))&return&true;&&&&&&&}&&&&&&&&&&&&number[i]&=&&&&&&&number[j]&=&&&&&&&op[i]&=&op1;&&&&&&op[j]&=&op2;&&&&&&&&&}&&}&&return&false;}int&main(){&&for&(size_t&i=<span style="COLOR: #;&i&C&++i)&pos[i]=i;&&cout&&&calc(Cards)&&&&cout&&&count1&&"&&"&&count2&&&}温馨提示！由于新浪微博认证机制调整，您的新浪微博帐号绑定已过期，请重新绑定！&&|&&
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id:'fks_',
blogTitle:'初中一年级数学“24点”游戏',
blogAbstract:'
初中一年级数学“24点”游戏 &&& 有一种叫“24点”的游戏曾经风靡美国、日本等许多国家，深受青少年朋友的喜爱。这种游戏将两张王牌去掉，把A、J、Q、K分别看作1点，11点、12点、13点，或者将它们均看1点，其余牌面是几点，就是几点。 &&& 玩的规则不尽相同，其中有一种方法是： &&& （1）四个人每人抓到13张牌，每人每次从手中任意抽取一张牌。 &&& （2）参加游戏者对这四张牌所代表的数值进行＋、－、&、&、（）运算，使结果为24。',
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{list wl as x}{/list}24点游戏题目：用3,6,9,11算24点。
24点游戏规则：每个数字只用一次，但可以调换顺序，只允许加、减、乘、除等四则运算，可以使用括号改变运算顺序。
用3,6,9,11算24点，共有28种算法。
更多关于24点游戏的信息，请访问：
【01-13 12:46】
【01-13 12:46】
【01-13 12:46】
【01-13 12:46】
【01-13 12:46】根据“24点”游戏规则，3，6，8，7每个数用且只能用一次，用有理数的混合运算方法（加、减、乘、除、乘方_百度知道
根据“24点”游戏规则，3，6，8，7每个数用且只能用一次，用有理数的混合运算方法（加、减、乘、除、乘方
写出3条不同的算式，使其结果等于24
提问者采纳
3+6+8+73*8*(7-6)6*6-3*3-(8-7)6*6
6的平方3*3
其他类似问题
按默认排序
其他7条回答
3+6+8+73*8*(7-6)6*6-3*3-(8-7)6*6
6的平方3*3
①3x8x(7-6)=24②3+6+8+7=24③6x(8-7+3)=24再有问我
(3 + 8 - 7) × 6=24
3 × (7 - 6) × 8=24
(8 × 3) ÷ (7 - 6)=24
1. 3+6+8+7
=242.（7-6）*3*8
3 + 6 + 8 + 72:
(3 + 6) + 8 + 73:
(3 + 6 + 8) + 74:
((3 + 6) + 8) + 75:
(3 + (6 + 8)) + 76:
3 + (6 + 8) + 77:
3 + (6 + 8 + 7)8:
3 + ((6 + 8) + 7)9:
3 + (6 + (8 + 7))10:
3 + 6 +(8 + 7)11:
(3 + 6) + (8 + 7)12:
3 + 6 + 7 + 813:
(3 + 6) + 7 + 814:
(3 + 6 + 7) + 815:
((3 + 6) + 7) + 816:
(3 + (6 + 7)) + 817:
3 + (6 + 7) + 818:
3 + (6 + 7 + 8)19:
3 + ((6 + 7) + 8)20:
3 + (6 + (7 + 8))21:
3 + 6 +(7 + 8)22:
(3 + 6) + (7 + 8)23:
3 + 8 + 6 + 724:
(3 + 8) + 6 + 725:
(3 + 8 + 6) + 726:
((3 + 8) + 6) + 727:
(3 + (8 + 6)) + 728:
3 + (8 + 6) + 729:
3 + (8 + 6 + 7)30:
3 + ((8 + 6) + 7)31:
3 + (8 + (6 + 7))32:
3 + 8 +(6 + 7)33:
(3 + 8) + (6 + 7)34:
3 + 8 + 7 + 635:
(3 + 8) + 7 + 636:
(3 + 8 + 7) + 637:
((3 + 8) + 7) + 638:
(3 + (8 + 7)) + 639:
3 + (8 + 7) + 640:
3 + (8 + 7 + 6)41:
3 + ((8 + 7) + 6)42:
3 + (8 + (7 + 6))43:
3 + 8 +(7 + 6)44:
(3 + 8) + (7 + 6)45:
(3 + 8 - 7) × 646:
((3 + 8) - 7) × 647:
(3 + (8 - 7)) × 648:
3 × (8 × (7 - 6))49:
3 × 8 ×(7 - 6)50:
(3 × 8) × (7 - 6)51:
3 × (8 ÷ (7 - 6))52:
3 × 8 ÷(7 - 6)53:
(3 × 8) ÷ (7 - 6)54:
3 + 7 + 6 + 855:
(3 + 7) + 6 + 856:
(3 + 7 + 6) + 857:
((3 + 7) + 6) + 858:
(3 + (7 + 6)) + 859:
3 + (7 + 6) + 860:
3 + (7 + 6 + 8)61:
3 + ((7 + 6) + 8)62:
3 + (7 + (6 + 8))63:
3 + 7 +(6 + 8)64:
(3 + 7) + (6 + 8)65:
(3 × (7 - 6)) × 866:
3 × (7 - 6) × 867:
3 × ((7 - 6) × 8)68:
(3 ÷ (7 - 6)) × 869:
3 ÷ (7 - 6) × 870:
3 ÷ ((7 - 6) ÷ 8)71:
3 + 7 + 8 + 672:
(3 + 7) + 8 + 673:
(3 + 7 + 8) + 674:
((3 + 7) + 8) + 675:
(3 + (7 + 8)) + 676:
3 + (7 + 8) + 677:
3 + (7 + 8 + 6)78:
3 + ((7 + 8) + 6)79:
3 + (7 + (8 + 6))80:
3 + 7 +(8 + 6)81:
(3 + 7) + (8 + 6)82:
(3 - 7 + 8) × 683:
((3 - 7) + 8) × 684:
(3 - (7 - 8)) × 685:
6 + 3 + 8 + 786:
(6 + 3) + 8 + 787:
(6 + 3 + 8) + 788:
((6 + 3) + 8) + 789:
(6 + (3 + 8)) + 790:
6 + (3 + 8) + 791:
6 + (3 + 8 + 7)92:
6 + ((3 + 8) + 7)93:
6 + (3 + (8 + 7))94:
6 + 3 +(8 + 7)95:
(6 + 3) + (8 + 7)96:
6 × (3 + 8 - 7)97:
6 × ((3 + 8) - 7)98:
6 × (3 + (8 - 7))99:
6 + 3 + 7 + 8100:
(6 + 3) + 7 + 8101:
(6 + 3 + 7) + 8102:
((6 + 3) + 7) + 8103:
(6 + (3 + 7)) + 8104:
6 + (3 + 7) + 8105:
6 + (3 + 7 + 8)106:
6 + ((3 + 7) + 8)107:
6 + (3 + (7 + 8))108:
6 + 3 +(7 + 8)109:
(6 + 3) + (7 + 8)110:
6 × (3 - 7 + 8)111:
6 × ((3 - 7) + 8)112:
6 × (3 - (7 - 8))113:
6 + 8 + 3 + 7114:
(6 + 8) + 3 + 7115:
(6 + 8 + 3) + 7116:
((6 + 8) + 3) + 7117:
(6 + (8 + 3)) + 7118:
6 + (8 + 3) + 7119:
6 + (8 + 3 + 7)120:
6 + ((8 + 3) + 7)121:
6 + (8 + (3 + 7))122:
6 + 8 +(3 + 7)123:
(6 + 8) + (3 + 7)124:
6 × (8 + 3 - 7)125:
6 × ((8 + 3) - 7)126:
6 × (8 + (3 - 7))127:
6 + 8 + 7 + 3128:
(6 + 8) + 7 + 3129:
(6 + 8 + 7) + 3130:
((6 + 8) + 7) + 3131:
(6 + (8 + 7)) + 3132:
6 + (8 + 7) + 3133:
6 + (8 + 7 + 3)134:
6 + ((8 + 7) + 3)135:
6 + (8 + (7 + 3))136:
6 + 8 +(7 + 3)137:
(6 + 8) + (7 + 3)138:
6 × (8 - 7 + 3)139:
6 × ((8 - 7) + 3)140:
6 × (8 - (7 - 3))141:
6 + 7 + 3 + 8142:
(6 + 7) + 3 + 8143:
(6 + 7 + 3) + 8144:
((6 + 7) + 3) + 8145:
(6 + (7 + 3)) + 8146:
6 + (7 + 3) + 8147:
6 + (7 + 3 + 8)148:
6 + ((7 + 3) + 8)149:
6 + (7 + (3 + 8))150:
6 + 7 +(3 + 8)151:
(6 + 7) + (3 + 8)152:
6 + 7 + 8 + 3153:
(6 + 7) + 8 + 3154:
(6 + 7 + 8) + 3155:
((6 + 7) + 8) + 3156:
(6 + (7 + 8)) + 3157:
6 + (7 + 8) + 3158:
6 + (7 + 8 + 3)159:
6 + ((7 + 8) + 3)160:
6 + (7 + (8 + 3))161:
6 + 7 +(8 + 3)162:
(6 + 7) + (8 + 3)163:
8 + 3 + 6 + 7164:
(8 + 3) + 6 + 7165:
(8 + 3 + 6) + 7166:
((8 + 3) + 6) + 7167:
(8 + (3 + 6)) + 7168:
8 + (3 + 6) + 7169:
8 + (3 + 6 + 7)170:
8 + ((3 + 6) + 7)171:
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7 + ((8 + 6) + 3)316:
7 + (8 + (6 + 3))317:
7 + 8 +(6 + 3)318:
(7 + 8) + (6 + 3)
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