趣味数学：24点游戏题目与解法

1、24点游戏题目与解法说明：最前面的数字是题目序号，中间的四位数是题目多给出的四位数字，最后的式子是得到24的运算方法。举例如下：例如：1) 1118 (1+1+1) 8 X1)表示是第一道题，1118表示题目给出的四个数字是1、1、1、8,就是对这四个数进行加减乘除运算得到24。(1+1+1) 8X表示是题目答案，经过这个运算可以得到24题目与答案如下：1118 (1+1+1) 8 X1126 (1+1+2) 6 X1127 (1+2) (1+7)1128 (1+1 2)081129 (1+2) (9-1)1134 4 (1+1) 31135 (1+3) (1+5)8)1136 (1+1 3)

2、61137 3 (1+1 X)1138 (1-1+3) 8 X1139 (1+1) (3 +9)1144 4 (1+1+4)1145 4 (1+1 刈1146 (1-1+4) 6 X1147 1 4 砥7-1)1148 (1+1) (4 +8)1149 (4-1) (9-1)1155 (5-1) (1+5)1156 (1 5-1) 61166 (1+1) (6+6)1168 6/(1+1) 8 X1169 6+(1+1) 9 X1188 8+(1+1) 8 X1224 4 2砥1+2)1225 (2+2) (1+5)1226 (1+2) (2+6)1227 (2+2) (7-1)1228 (2

3、-1+2) 8 乂1229 2 (1+2+9)1233 3 2砥1+3)1234 4 (1+2+3)1235 (1+2) (3+5)1236 3 (1)2+6)1237 1+2+3 7X1238 2 (1+3+8)1239 1 2砥3+9)1244 (1+2) (4+4)1245 4 (241+5)1246 (2-1) 4 61247 2 (1+4+7)1248 1 2砥4+8)1249 4+2 (融9)1255 1+5 5-21256 (1+5-2) 6 乂1257 1 2邓+7)1258 (1+5)/2 8 乂1259 9+(1+2) 5 义1267 (1+7)/2 6 乂1268 1 6

4、/2 81269 6+1 2M1277 (7 7-1)/21278 1+7+2 8X1279 1+9+2 7X1288 8+1 2油1289 9+2 8M1333 (1+3) (3+3)1334 4 (1)3+3)1335 1 3砥3+5)1336 3+3 (1+6)1337 1 3+3 X1338 3 (1+8)-31339 (1+3) (9-3)1344 1 3砥4+4)1345 1+3+4 5X1346 6/(1-3/4)1347 (1+3) 7-41348 8+(1+3) 4 乂1349 1+3 9-41356 1+5+3 6X1357 (7-3) (1+5)1358 1+8+3 5X

5、1359 9+1 3M1366 6+1 3法1367 (7-3) 1 61368 (1+6/3) 8 乂1369 3 (1+9)-61378 (7-(1+3) 8 乂1379 (1+7) 9/31388 (1+3) 8-81389 1 8淤/31399 (9-1) 9/3+4)1445 1 4+4X51446 4 (1+6)-41447 1+7+4 4X1448 8+1 4用1449 4 (1+9-4)1455 4+(5-1) 5 义1456 4/(1-5/6)1457 1+4 7-51458 (8-4) (1+5)1459 9+(4-1) 5 义1466 (1+4) 6-61467 (1+7

6、-4) 6 义1468 (1+6-4) 8 乂1469 (9-(1+4) 6 乂1477 (7-4) (1+7)1478 4 (1+7)-81479 (7-4) (9-1)1488 1 4X8-81489 1+4 8-91555 (5-1/5) 5 乂1556 5 (1+5)-61559 (9-5) (1+5)1566 1 5W-61568 (1+8-5) 6 X1569 (9-5) 1 年1578 (1+7-5) 8 义1579 (9-5) (7-11588 (1 8-5) 81589 (8-5) (9-11599 9+1+5+91666 (6-1) 661668 6/(1-6/8)1669

7、 (1+9-6) 6 乂1679 (9-6) (1+7)1688 (1+8-6) 8 乂1689 9+1+6+81699 9+1 6+91779 9+7+1+71788 8+1+7+81789 9+1 7+81799 9+7-1+91888 8+1 8+81889 9+8-1+82223 3 2X(2+2)2224 4 (2+2+2)2225 2 (2+2 5)2227 2 (2H-2)2228 (2/2+2) 8 乂2229 2+2 (2+9)2233 (2+2) (3+3)2234 3 (2+2+4)2235 3 (2与-2)2238 2+2 (3+8)2239 (2+2) (9-3)22

8、44 2 (4+2 M)2245 2+2+4 5X2246 (2-2+4) 6 乂2247 2+2 (4+7)2248 8+(2+2) 4 乂2249 2+4+2 9X2255 2 (5+2+5)2256 2+2 (5+6)2257 2 5+2X72258 2 (5+8)-22259 2 (5-2+9)2266 (2+6)/2 6 乂2267 6+2 (2+7)2268 8+2 (2+6)2269 2 (2)9-6)2277 2 (7-2+7)2278 2+8+2 7X2288 (2+2) 8-82289 8+2 9-22333 3 (3+2+3)2335 2 (35-3)2336 2 (3+

9、3+6)2337 (7-3) 2 X32338 (3/3+2) 8 乂2339 9+3 (2+3)2344 4+4 (2+3)2347 4+2 (3+7)2348 (8-4) 2 32349 2 4X9/32355 2+5 5M2356 5 2X3-62357 2+7+3 5X2358 8+2 (3+5)2359 2+3 9-52366 (2+3) 6-62367 3 (2H-6)2368 3 (248)-62369 9+3+2 6X2377 7+3+2 7X2378 (2+7)/3 8 乂2379 3 (7-2)+92388 3 (2渴-8)2389 8/2 (9-3)2399 9+2 34

10、92444 2 (444+4)2445 4 (245)-42446 2+6+4 4X2447 (7-4) 2 X2448 (4/4+2) 8 义2449 4 (9-2)-42455 4+2 (545)2456 5 (244)-62457 (4-2) (547)2458 (2 4-5) 82459 (9-5) (2+4)2467 2+4 7-62468 4 (2+6)-82469 (9-6) 2 /2477 2 (7+7)-42478 4 (27-8)2479 9+7+2 4X2488 8+2 4+82489 (9-(2+4) 8 乂2499 9+2+4+92557 5+5+2 7X2558 (

11、5/5+2) 8 乂2559 9+5+2 5X2566 (2 5-6) 62567 7+5+2 6X2568 2+5 6-82569 9+5 6/22577 7+7+2 5X2578 (2 5-7) 82579 5 7%2+9)2588 5 8-2 82589 9+2+5+82666 6+6+2 6X2667 (6+6 7成2668 (6/6+2) 8 乂2669 (9-6) (2+6)2678 (2+7-6) 8 乂2679 9+7+2+62688 8+2+6+82778 8+7+2+72788 (2+8-7) 8 乂2789 2 (7+9)-82888 (8/8+2) 8 乂2889 (2

12、+9-8) 8 乂2899 (9/9+2) 8 乂3333 3 3X3-33334 3+3 (3+4)3335 3 3+3X53336 3+3+3 6X3337 3 (3/3+7)3338 (3+3-3) 8 乂3339 3 (9-3/3)3344 3 0M-4)3345 4 (3/3+5)3346 (3-3+4) 6 乂3347 3 (4-3+7)3348 (8-4) (3+3)3349 3+9+3 4X3355 5 5-3/33356 3+6+3 5X3357 3 (35-7)3359 (9-5) (3+3)3366 3 (6/3+6)3367 3 (3+7)-63368 (3 3-6)

13、83369 9+6+3 3X 259) 3377 (3/7+3) 7 义262) 3388 8/(3-8/3)3389 3 (3+8)-93399 9+3+3+93444 4 (3+4)-43445 3+5+4 4X3446 (4/4+3) 6 义3447 3 (4/4+7)3448 (3+4-4) 8 义3449 3 (9-4/4)3455 5+4+3 5X3456 (3+5-4) 6 乂3457 7+5+3 4X3458 4 (3+5)-83459 3 (4+9-5)3466 6+6+3 4X3468 (3 4-8) 63469 4 (349-6)3477 3+4 7-73478 8+(7

14、-3) 4 X3479 3 (4+7)-93489 9+3+4+83499 9+3 (9-4)3556 (5/5+3) 6 乂3557 3 (5/5+7)3558 (3+5-5) 8 乂3559 3 (9-5/5)3566 (3+6-5) 6 乂3567 3 (6-5+7)3578 8+3 7-53579 9+7+3+53588 8+3+5+83589 5+3 9-83599 9+5 9/33666 (6/6+3) 6 乂3667 3 (6/6+7)3668 (3+6-6) 8 乂3669 9+6+3+63677 3 (7-6+7)3678 8+7+3+63679 3 (649-7)3688

15、(8/8+3) 6 乂3689 (3+9-8) 6 乂3699 6+3 9-93777 7+7+3+73778 (3+7-7) 8 乂3779 3 (9-7/7)3788 3 (8/8+7)3789 3 (7+9-8)3799 3 (9/9+7)3888 (3+8-8) 8 乂3889 (9-8) 3 83899 9+3 8-93999 3 (9-9/9)4444 4+4+4 4X4445 4 (4/4+5)4446 (4+4-4) 6 义4449 4+4 (9-4)4455 4 (5-4+5)4456 4 (5-4) 64457 4 (4+7-5)4458 (4+4-5) 8 义4468 4

16、 (448-6)328) 4469 (9-6) (4+4)329) 4477 (4-4/7) 7 义330) 4478 4+4 7-8331) 4479 9+7+4+4332) 4488 8+4+4+84489 4 9义4+8)4555 4+5 5-54556 (4+5-5) 6 乂4557 4 (7-5/5)4558 (4-5/5) 8 乂4559 9+4 5-54566 4 (6/6+5)4567 4 (547-6)4568 (4+5-6) 8 乂342) 4569 9+6+4+5343) 4577 4 (7/7+5)344) 4578 8+7+4+54579 5+4 7-94588 4

17、(8/8+5)4589 4 (549-8)4599 4 (9/9+5)4666 (4+6-6) 6 乂352) 4669 4 9义6+6)353) 4677 7+7+4+64678 (4+6-7) 8 义4679 (7+9)/4 6 乂4688 8+4 6-84689 (9-8) 4 卷4699 9+4 6-94777 4 (7-7/7)4778 (4-7/7) 8 义4788 (4+7-8) 8 义4789 4 (748-9)4799 4 (7-9/9)4888 (4-8/8) 8 乂4889 (4+8-9) 8 乂4899 (4-9/9) 8 乂5555 5 5-5/55556 5+5 5

18、-6369) 5559 9+5+5+5370) 5566 (5+5-6) 6 乂371) 5567 6+5 5-7372) 5568 8+6+5+5373) 5577 7+7+5+55578 (5+5-7) 8 乂5588 5 5-8/85589 8+5 5-95599 5 5-9/95666 (5-6/6) 6 乂379) 5667 7+6+5+6382) 5677 (5-7/7) 6 乂383) 5678 (5+7-8) 6 乂384) 5679 6+(7-5) 9 乂385) 5688 (5+6-8) 8 乂386) 5689 (5+8-9) 6 乂387) 5699 9+(9-6) 5 乂388) 5779 (9-7) (5+7)389) 5788