24点计算 24点的算法技巧
\u600e\u6837\u7b9724\u70b9\u6700\u7b80\u53554\u4e2a\u6570\u5b575551\u5982\u4f55\u5f97\u523024
1\u3001\u5229\u75283\u00d78\uff1d24\u30014\u00d76\uff1d24\u6c42\u89e3\u3002
\u628a\u724c\u9762\u4e0a\u7684\u56db\u4e2a\u6570\u60f3\u529e\u6cd5\u51d1\u62103\u548c8\u30014\u548c6\uff0c\u518d\u76f8\u4e58\u6c42\u89e3\u3002\u59823\u30013\u30016\u300110\u53ef\u7ec4\u6210\uff0810\u20146\u00f73\uff09\u00d73\uff1d24\u7b49\u3002\u53c8\u59822\u30013\u30013\u30017\u53ef\u7ec4\u6210\uff087\uff0b3\u20142\uff09\u00d73\uff1d24\u7b49\u3002\u5b9e\u8df5\u8bc1\u660e\uff0c\u8fd9\u79cd\u65b9\u6cd5\u662f\u5229\u7528\u7387\u6700\u5927\u3001\u547d\u4e2d\u7387\u6700\u9ad8\u7684\u4e00\u79cd\u65b9\u6cd5\u3002
2\u3001\u5229\u75280\u300111\u7684\u8fd0\u7b97\u7279\u6027\u6c42\u89e3\u3002
\u59823\u30014\u30014\u30018\u53ef\u7ec4\u62103\u00d78\uff0b4\u20144\uff1d24\u7b49\u3002\u53c8\u59824\u30015\u3001J\u3001K\u53ef\u7ec4\u621011\u00d7\uff085\u20144\uff09\uff0b13\uff1d24\u7b49\u3002
3\u3001\u5728\u6709\u89e3\u7684\u724c\u7ec4\u4e2d\uff0c\u7528\u5f97\u6700\u4e3a\u5e7f\u6cdb\u7684\u662f\u4ee5\u4e0b\u516d\u79cd\u89e3\u6cd5\uff1a\uff08\u6211\u4eec\u7528a\u3001b\u3001c\u3001d\u8868\u793a\u724c\u9762\u4e0a\u7684\u56db\u4e2a\u6570\uff09
\u2460(a\u2014b\uff09\u00d7\uff08c\uff0bd\uff09
\u5982\uff0810\u20144\uff09\u00d7\uff082\uff0b2\uff09\uff1d24\u7b49\u3002
\u2461\uff08a\uff0bb\uff09\u00f7c\u00d7d
\u5982\uff0810\uff0b2\uff09\u00f72\u00d74\uff1d24\u7b49\u3002
\u2462\uff08a\uff0db\u00f7c\uff09\u00d7d
\u5982\uff083\u20142\u00f72\uff09\u00d712\uff1d24\u7b49\u3002
\u2463\uff08a\uff0bb\uff0dc\uff09\u00d7d
\u5982\uff089\uff0b5\u20142\uff09\u00d72\uff1d24\u7b49\u3002
\u2464a\u00d7b\uff0bc\u2014d
\u598211\u00d73\uff0bl\u201410\uff1d24\u7b49\u3002
\u2465\uff08a\uff0db\uff09\u00d7c\uff0bd
\u5982\uff084\u20141\uff09\u00d76\uff0b6\uff1d24\u7b49\u3002
\u6269\u5c55\u8d44\u6599
\u4e58\u6cd5\u662f\u52a0\u6cd5\u7684\u7b80\u4fbf\u8fd0\u7b97\uff0c\u9664\u6cd5\u662f\u51cf\u6cd5\u7684\u7b80\u4fbf\u8fd0\u7b97\u3002
\u51cf\u6cd5\u4e0e\u52a0\u6cd5\u4e92\u4e3a\u9006\u8fd0\u7b97\uff0c\u9664\u6cd5\u4e0e\u4e58\u6cd5\u4e92\u4e3a\u9006\u8fd0\u7b97\u3002
\u6574\u6570\u7684\u52a0\u51cf\u6cd5\u8fd0\u7b97\u6cd5\u5219\uff1a
1\u3001\u76f8\u540c\u6570\u4f4d\u5bf9\u9f50\uff1b
2\u3001\u4ece\u4e2a\u4f4d\u7b97\u8d77\uff1b
3\u3001\u52a0\u6cd5\u4e2d\u6ee1\u51e0\u5341\u5c31\u5411\u9ad8\u4e00\u4f4d\u8fdb\u51e0\uff1b\u51cf\u6cd5\u4e2d\u4e0d\u591f\u51cf\u65f6\uff0c\u5c31\u4ece\u9ad8\u4e00\u4f4d\u90001\u5f5310\u548c\u672c\u6570\u4f4d\u76f8\u52a0\u540e\u518d\u51cf\u3002
\u52a0\u6cd5\u8fd0\u7b97\u6027\u8d28
\u4ece\u52a0\u6cd5\u4ea4\u6362\u5f8b\u548c\u7ed3\u5408\u5f8b\u53ef\u4ee5\u5f97\u5230\uff1a\u51e0\u4e2a\u52a0\u6570\u76f8\u52a0\uff0c\u53ef\u4ee5\u4efb\u610f\u4ea4\u6362\u52a0\u6570\u7684\u4f4d\u7f6e\uff1b\u6216\u8005\u5148\u628a\u51e0\u4e2a\u52a0\u6570\u76f8\u52a0\u518d\u548c\u5176\u4ed6\u7684\u52a0\u6570\u76f8\u52a0\uff0c\u5b83\u4eec\u7684\u548c\u4e0d\u53d8\u3002\u4f8b\u5982\uff1a34+72+66+28=(34+66)+(72+28)=200\u3002
3*(4+(-6)+10)=24
3*((4+(-6))+10)=24
3*(4+((-6)+10))=24
3*(4+10+(-6))=24
3*((4+10)+(-6))=24
3*(4+(10+(-6)))=24
3*((-6)+4+10)=24
3*(((-6)+4)+10)=24
3*((-6)+(4+10))=24
3*((-6)+10+4)=24
3*(((-6)+10)+4)=24
3*((-6)+(10+4))=24
3*(10+4+(-6))=24
3*((10+4)+(-6))=24
3*(10+(4+(-6)))=24
3*(10-4)-(-6)=24
(3*(10-4))-(-6)=24
3*(10+(-6)+4)=24
3*((10+(-6))+4)=24
3*(10+((-6)+4))=24
4-(-6)/3*10=24
4-((-6)/3)*10=24
4-((-6)/3*10)=24
4-(((-6)/3)*10)=24
4-(-6)/(3/10)=24
4-((-6)/(3/10))=24
(4+(-6)+10)*3=24
((4+(-6))+10)*3=24
(4+((-6)+10))*3=24
4-(-6)*10/3=24
4-((-6)*10)/3=24
4-(-6)*(10/3)=24
4-((-6)*10/3)=24
4-(((-6)*10)/3)=24
4-((-6)*(10/3))=24
4-10/3*(-6)=24
4-(10/3)*(-6)=24
4-(10/3*(-6))=24
4-((10/3)*(-6))=24
4-10/(3/(-6))=24
4-(10/(3/(-6)))=24
(4+10+(-6))*3=24
((4+10)+(-6))*3=24
(4+(10+(-6)))*3=24
4-10*(-6)/3=24
4-(10*(-6))/3=24
4-10*((-6)/3)=24
4-(10*(-6)/3)=24
4-((10*(-6))/3)=24
4-(10*((-6)/3))=24
((-6)+4+10)*3=24
(((-6)+4)+10)*3=24
((-6)+(4+10))*3=24
((-6)+10+4)*3=24
(((-6)+10)+4)*3=24
((-6)+(10+4))*3=24
10-(3*(-6)+4)=24
10-((3*(-6))+4)=24
10-3*(-6)-4=24
10-(3*(-6))-4=24
(10-3*(-6))-4=24
(10-(3*(-6)))-4=24
10-(4+3*(-6))=24
10-(4+(3*(-6)))=24
10-4-3*(-6)=24
(10-4)-3*(-6)=24
10-4-(3*(-6))=24
(10-4)-(3*(-6))=24
(10-4)*3-(-6)=24
((10-4)*3)-(-6)=24
(10+4+(-6))*3=24
((10+4)+(-6))*3=24
(10+(4+(-6)))*3=24
10-(4+(-6)*3)=24
10-(4+((-6)*3))=24
10-4-(-6)*3=24
(10-4)-(-6)*3=24
10-4-((-6)*3)=24
(10-4)-((-6)*3)=24
10-((-6)*3+4)=24
10-(((-6)*3)+4)=24
10-(-6)*3-4=24
10-((-6)*3)-4=24
(10-(-6)*3)-4=24
(10-((-6)*3))-4=24
(10+(-6)+4)*3=24
((10+(-6))+4)*3=24
(10+((-6)+4))*3=24
1: 3 × (4 - 6 + 10)
2: 3 × ((4 - 6) + 10)
3: 3 × (4 - (6 - 10))
4: 3 × (4 + 10 - 6)
5: 3 × ((4 + 10) - 6)
6: 3 × (4 + (10 - 6))
7: 3 × 6 - 4 + 10
8: (3 × 6) - 4 + 10
9: (3 × 6 - 4) + 10
10: ((3 × 6) - 4) + 10
11: 3 × 6 -(4 - 10)
12: (3 × 6) - (4 - 10)
13: 3 × 6 + 10 - 4
14: (3 × 6) + 10 - 4
15: (3 × 6 + 10) - 4
16: ((3 × 6) + 10) - 4
17: 3 × 6 +(10 - 4)
18: (3 × 6) + (10 - 4)
19: 3 × (10 + 4 - 6)
20: 3 × ((10 + 4) - 6)
21: 3 × (10 + (4 - 6))
22: (3 × (10 - 4)) + 6
23: 3 × (10 - 4) + 6
24: 3 × (10 - 6 + 4)
25: 3 × ((10 - 6) + 4)
26: 3 × (10 - (6 - 4))
27: 4 + 6 ÷ 3 × 10
28: 4 + (6 ÷ 3) × 10
29: 4 + (6 ÷ 3 × 10)
30: 4 + ((6 ÷ 3) × 10)
31: 4 + (6 ÷ (3 ÷ 10))
32: 4 + 6 ÷(3 ÷ 10)
33: 4 + 6 × 10 ÷ 3
34: 4 + (6 × 10) ÷ 3
35: 4 + (6 × 10 ÷ 3)
36: 4 + ((6 × 10) ÷ 3)
37: 4 + (6 × (10 ÷ 3))
38: 4 + 6 ×(10 ÷ 3)
39: (4 - 6 + 10) × 3
40: ((4 - 6) + 10) × 3
41: (4 - (6 - 10)) × 3
42: 4 + 10 ÷ 3 × 6
43: 4 + (10 ÷ 3) × 6
44: 4 + (10 ÷ 3 × 6)
45: 4 + ((10 ÷ 3) × 6)
46: 4 + (10 ÷ (3 ÷ 6))
47: 4 + 10 ÷(3 ÷ 6)
48: (4 + 10 - 6) × 3
49: ((4 + 10) - 6) × 3
50: (4 + (10 - 6)) × 3
51: 4 + 10 × 6 ÷ 3
52: 4 + (10 × 6) ÷ 3
53: 4 + (10 × 6 ÷ 3)
54: 4 + ((10 × 6) ÷ 3)
55: 4 + (10 × (6 ÷ 3))
56: 4 + 10 ×(6 ÷ 3)
57: 6 - (3 × (4 - 10))
58: 6 - 3 ×(4 - 10)
59: 6 × 3 - 4 + 10
60: (6 × 3) - 4 + 10
61: (6 × 3 - 4) + 10
62: ((6 × 3) - 4) + 10
63: 6 × 3 -(4 - 10)
64: (6 × 3) - (4 - 10)
65: 6 + (3 × (10 - 4))
66: 6 + 3 ×(10 - 4)
67: 6 × 3 + 10 - 4
68: (6 × 3) + 10 - 4
69: (6 × 3 + 10) - 4
70: ((6 × 3) + 10) - 4
71: 6 × 3 +(10 - 4)
72: (6 × 3) + (10 - 4)
73: 6 ÷ 3 × 10 + 4
74: (6 ÷ 3) × 10 + 4
75: (6 ÷ 3 × 10) + 4
76: ((6 ÷ 3) × 10) + 4
77: (6 ÷ (3 ÷ 10)) + 4
78: 6 ÷ (3 ÷ 10) + 4
79: 6 - (4 - 10) × 3
80: 6 - ((4 - 10) × 3)
81: 6 × 10 ÷ 3 + 4
82: (6 × 10) ÷ 3 + 4
83: (6 × 10 ÷ 3) + 4
84: ((6 × 10) ÷ 3) + 4
85: (6 × (10 ÷ 3)) + 4
86: 6 × (10 ÷ 3) + 4
87: 6 + (10 - 4) × 3
88: 6 + ((10 - 4) × 3)
89: 10 + 3 × 6 - 4
90: (10 + 3 × 6) - 4
91: (10 + (3 × 6)) - 4
92: 10 + (3 × 6) - 4
93: 10 + (3 × 6 - 4)
94: 10 + ((3 × 6) - 4)
95: 10 ÷ 3 × 6 + 4
96: (10 ÷ 3) × 6 + 4
97: (10 ÷ 3 × 6) + 4
98: ((10 ÷ 3) × 6) + 4
99: (10 ÷ (3 ÷ 6)) + 4
100: 10 ÷ (3 ÷ 6) + 4
101: 10 - 4 + 3 × 6
102: (10 - 4) + 3 × 6
103: 10 - 4 +(3 × 6)
104: (10 - 4) + (3 × 6)
105: 10 - (4 - 3 × 6)
106: 10 - (4 - (3 × 6))
107: (10 - 4) × 3 + 6
108: ((10 - 4) × 3) + 6
109: (10 + 4 - 6) × 3
110: ((10 + 4) - 6) × 3
111: (10 + (4 - 6)) × 3
112: 10 - 4 + 6 × 3
113: (10 - 4) + 6 × 3
114: 10 - 4 +(6 × 3)
115: (10 - 4) + (6 × 3)
116: 10 - (4 - 6 × 3)
117: 10 - (4 - (6 × 3))
118: 10 + 6 × 3 - 4
119: (10 + 6 × 3) - 4
120: (10 + (6 × 3)) - 4
121: 10 + (6 × 3) - 4
122: 10 + (6 × 3 - 4)
123: 10 + ((6 × 3) - 4)
124: 10 × 6 ÷ 3 + 4
125: (10 × 6) ÷ 3 + 4
126: (10 × 6 ÷ 3) + 4
127: ((10 × 6) ÷ 3) + 4
128: (10 × (6 ÷ 3)) + 4
129: 10 × (6 ÷ 3) + 4
130: (10 - 6 + 4) × 3
131: ((10 - 6) + 4) × 3
132: (10 - (6 - 4)) × 3
3×[10+4+(-6)]=24
3×(10-4)-(-6)=24
10-4-3×(-6)=24
4-(-6)×10÷3=24
3×[10+4+(-6)]=24
3×(10-4)-(-6)=24
10-4-3×(-6)=24
4-(-6)×10÷3=24
绛旓細鏂规硶涓锛6脳4脳锛3-2锛=24锛涙柟娉曚簩锛3脳锛6+4-2锛=24锛涙柟娉曚笁锛3脳6+2+4=24銆傝В棰樿繃绋嬶細1銆佽鐪熻瀵熸暟鎹壒鐐癸紝鐪嬭繖缁欏嚭鐨4涓暟锛2銆佷粠24鍑哄彂锛屽摢浜涙暟鍔犲噺涔橀櫎涔嬪悗绛変簬24銆24=3脳8锛24=4脳6锛24=12脳2锛24=15+9锛24=27-3锛24=72梅3鈥︹︽妸鐗岄潰涓婄殑鍥涗釜鏁版兂鍔炴硶鍑戞垚3鍜8銆4...
绛旓細4銆7 脳銆4 - (4 梅 7)銆=24
绛旓細24鐐硅绠楁柟娉曪細鎶4涓暣鏁帮紙涓鑸槸姝ｆ暣鏁帮級閫氳繃鍔犲噺涔橀櫎浠ュ強鎷彿杩愮畻锛屼娇鏈鍚庣殑璁＄畻缁撴灉鏄24銆傛妧宸э細1銆鍒╃敤3脳8=24銆4脳6=24銆2脳12=24姹傝В銆傛妸鐗岄潰涓婄殑鍥涗釜鏁版兂鍔炴硶鍑戞垚3鍜8銆4鍜6銆2鍜12锛屽啀鐩镐箻姹傝В銆傚疄璺佃瘉鏄庯紝杩欑鏂规硶鏄埄鐢ㄧ巼鏈澶с佸懡涓巼鏈楂樼殑涓绉嶆柟娉曘2銆佸埄鐢0銆1鐨勮繍绠楃壒鎬ф眰瑙ｃ
绛旓細鐢7锛8锛9锛10绠24鐐癸紝鍏辨湁8绉嶇畻娉曘1銆侊箼9脳8锕毭凤箼10锛7锕=24 2銆乕8梅锕10锛7锕歖脳9=24 3銆9梅[锕10锛7锕毭8]=24 4銆8脳[9梅锕10锛7锕歖=24 5銆9脳[8梅锕10锛7锕歖=24 6銆乕9梅锕10锛7锕歖脳8=24 7銆8梅[锕10锛7锕毭9]=24 8銆侊箼8脳9锕毭凤箼10锛7锕=24 24...
绛旓細鏈変簲绉嶅仛娉曪細1銆乕8脳锕7锛5锕歖锛8=24 2銆乕锕7锛5锕毭8]锛8=24 3銆8锛媅8脳锕7锛5锕歖=24 4銆8梅[5梅锕7锛8锕歖=24 5銆8脳[锕8锛7锕毭5]=24 24鐐鏈変竴瀹氱殑瑙ｉ鎶宸э紝鐢变簬璁＄畻鏈缁堢粨鏋滄槸24锛屽垵濮嬫暟瀛楅兘鏄暣鏁帮紝鏈変竴浜涘浐瀹氱殑鎬濊矾銆傚父瑙勭殑姣斿锛3*8=24锛4*6=24锛2*12=24锛24...
绛旓細24鐐鏄妸4涓暣鏁帮紙涓鑸槸姝ｆ暣鏁帮級閫氳繃鍔犲噺涔橀櫎浠ュ強鎷彿杩愮畻锛屼娇鏈鍚庣殑璁＄畻缁撴灉鏄24鐨勪竴涓暟瀛︽父鎴忓彲浠ヨ冮獙浜虹殑鏅哄姏鍜屾暟瀛︽晱鎰熸с浜屽崄鍥涚偣鏄竴绉嶇泭鏅烘父鎴忥紝瀹冭兘鍦ㄦ父鎴忎腑閿荤偧浜轰滑鐨勫績绠楋紝瀹冨線寰瑕佹眰浜轰滑灏嗗洓涓暟瀛楄繘琛屽姞鍑忎箻闄ゅ洓鍒欐贩鍚堣繍绠楋紙鍏佽浣跨敤鎷彿锛夋眰寰椾簩鍗佸洓銆傞氬父鏄娇鐢ㄦ墤鍏嬬墝鏉ヨ繘琛屾父鎴忕殑锛屼竴鍓...
绛旓細1銆侊紙2+4梅10锛墄10 =锛2+0.4锛墄10 =2.4x10 =24 2銆侊紙10x10-4锛壝4 =锛100-4锛壝4 =96梅4 =24
绛旓細24鐐硅绠鍏紡4-4脳(1-6)瑙ｉ鎬濊矾:鍥涘垯杩愮畻瑙勫垯(鎸夐『搴忚绠,鍏堢畻涔橀櫎鍚庣畻鍔犲噺,鏈夋嫭鍙峰厛绠楁嫭鍙,鏈変箻鏂瑰厛绠椾箻鏂)鍗宠劚寮忚繍绠(閫掔瓑寮忚绠)闇鍦ㄨ鍘熷垯鍓嶆彁涓嬭繘琛 瑙ｉ杩囩▼:4-4脳(1-6)=4+4脳5 =4+20 =24
绛旓細24鐐硅绠鍏紡5脳(4+2)-6 瑙ｉ鎬濊矾:鍥涘垯杩愮畻瑙勫垯(鎸夐『搴忚绠,鍏堢畻涔橀櫎鍚庣畻鍔犲噺,鏈夋嫭鍙峰厛绠楁嫭鍙,鏈変箻鏂瑰厛绠椾箻鏂)鍗宠劚寮忚繍绠(閫掔瓑寮忚绠)闇鍦ㄨ鍘熷垯鍓嶆彁涓嬭繘琛 瑙ｉ杩囩▼:5脳(4+2)-6 =5脳6-6 =30-6 =24
绛旓細24鐐鍏蜂綋鐜╂硶锛24鐐瑰叿浣撶殑鐜╂硶鏄細鎷夸竴鍓墝锛屾娊鍘诲ぇ灏忕帇鍚庯紙鍒濈粌涔熷彲浠ユ妸J/Q/K/澶у皬鐜嬩篃鎷胯蛋锛夛紝鍓╀笅1锝10杩40寮犵墝锛岀敤1浠ｆ浛A銆備换鎰忔娊鍙4寮犵墝锛岀敤鍔犮佸噺銆佷箻銆侀櫎鎶婄墝闈笂鐨勬暟绠楁垚24銆傛瘡寮犵墝蹇呴』鐢ㄤ笖鍙兘鐢ㄤ竴娆°傚鎶藉嚭鐨勭墝鏄3銆8銆8銆9锛岄偅涔堢畻寮忎负(9-8)脳8脳3=24銆
