3,4,5,2和11,2,10,5都能用加,减,乘,除四则运算得出“24”点,这是为什么?

如果算是中允许包含乘方运算,你能列出符合要求的不同的算式吗?3,4,5,2和11,2,10,5都能用加,减,乘,除四则运算得出“24”点吗?为什么?... 如果算是中允许包含乘方运算,你能列出符合要求的不同的算式吗?
3,4,5,2和11,2,10,5都能用加,减,乘,除四则运算得出“24”点吗?
为什么?
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magic张淞源
2010-10-13
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1: (3 + 4 + 5) × 2
2: ((3 + 4) + 5) × 2
3: (3 + (4 + 5)) × 2
4: (3 + 5 + 4) × 2
5: ((3 + 5) + 4) × 2
6: (3 + (5 + 4)) × 2
7: (3 + 5 - 2) × 4
8: ((3 + 5) - 2) × 4
9: (3 + (5 - 2)) × 4
10: (3 - 2 + 5) × 4
11: ((3 - 2) + 5) × 4
12: (3 - (2 - 5)) × 4
13: (4 + 3 + 5) × 2
14: ((4 + 3) + 5) × 2
15: (4 + (3 + 5)) × 2
16: 4 × (3 + 5 - 2)
17: 4 × ((3 + 5) - 2)
18: 4 × (3 + (5 - 2))
19: 4 × (3 - 2 + 5)
20: 4 × ((3 - 2) + 5)
21: 4 × (3 - (2 - 5))
22: (4 + 5 + 3) × 2
23: ((4 + 5) + 3) × 2
24: (4 + (5 + 3)) × 2
25: 4 × (5 + 3 - 2)
26: 4 × ((5 + 3) - 2)
27: 4 × (5 + (3 - 2))
28: 4 × (5 - 2 + 3)
29: 4 × ((5 - 2) + 3)
30: 4 × (5 - (2 - 3))
31: (5 + 3 + 4) × 2
32: ((5 + 3) + 4) × 2
33: (5 + (3 + 4)) × 2
34: (5 + 3 - 2) × 4
35: ((5 + 3) - 2) × 4
36: (5 + (3 - 2)) × 4
37: (5 + 4 + 3) × 2
38: ((5 + 4) + 3) × 2
39: (5 + (4 + 3)) × 2
40: (5 - 2 + 3) × 4
41: ((5 - 2) + 3) × 4
42: (5 - (2 - 3)) × 4
43: 2 × (3 + 4 + 5)
44: 2 × ((3 + 4) + 5)
45: 2 × (3 + (4 + 5))
46: 2 × (3 + 5 + 4)
47: 2 × ((3 + 5) + 4)
48: 2 × (3 + (5 + 4))
49: 2 × (4 + 3 + 5)
50: 2 × ((4 + 3) + 5)
51: 2 × (4 + (3 + 5))
52: 2 × (4 + 5 + 3)
53: 2 × ((4 + 5) + 3)
54: 2 × (4 + (5 + 3))
55: 2 × (5 + 3 + 4)
56: 2 × ((5 + 3) + 4)
57: 2 × (5 + (3 + 4))
58: 2 × (5 + 4 + 3)
59: 2 × ((5 + 4) + 3)
60: 2 × (5 + (4 + 3))

1: 11 + 10 + 5 - 2
2: (11 + 10) + 5 - 2
3: (11 + 10 + 5) - 2
4: ((11 + 10) + 5) - 2
5: (11 + (10 + 5)) - 2
6: 11 + (10 + 5) - 2
7: 11 + (10 + 5 - 2)
8: 11 + ((10 + 5) - 2)
9: 11 + (10 + (5 - 2))
10: 11 + 10 +(5 - 2)
11: (11 + 10) + (5 - 2)
12: 11 × 10 ÷ 5 + 2
13: (11 × 10) ÷ 5 + 2
14: (11 × 10 ÷ 5) + 2
15: ((11 × 10) ÷ 5) + 2
16: (11 × (10 ÷ 5)) + 2
17: 11 × (10 ÷ 5) + 2
18: 11 + 10 - 2 + 5
19: (11 + 10) - 2 + 5
20: (11 + 10 - 2) + 5
21: ((11 + 10) - 2) + 5
22: (11 + (10 - 2)) + 5
23: 11 + (10 - 2) + 5
24: 11 + (10 - 2 + 5)
25: 11 + ((10 - 2) + 5)
26: 11 + (10 - (2 - 5))
27: 11 + 10 -(2 - 5)
28: (11 + 10) - (2 - 5)
29: 11 + 5 + 10 - 2
30: (11 + 5) + 10 - 2
31: (11 + 5 + 10) - 2
32: ((11 + 5) + 10) - 2
33: (11 + (5 + 10)) - 2
34: 11 + (5 + 10) - 2
35: 11 + (5 + 10 - 2)
36: 11 + ((5 + 10) - 2)
37: 11 + (5 + (10 - 2))
38: 11 + 5 +(10 - 2)
39: (11 + 5) + (10 - 2)
40: 11 ÷ 5 × 10 + 2
41: (11 ÷ 5) × 10 + 2
42: (11 ÷ 5 × 10) + 2
43: ((11 ÷ 5) × 10) + 2
44: (11 ÷ (5 ÷ 10)) + 2
45: 11 ÷ (5 ÷ 10) + 2
46: 11 + 5 - 2 + 10
47: (11 + 5) - 2 + 10
48: (11 + 5 - 2) + 10
49: ((11 + 5) - 2) + 10
50: (11 + (5 - 2)) + 10
51: 11 + (5 - 2) + 10
52: 11 + (5 - 2 + 10)
53: 11 + ((5 - 2) + 10)
54: 11 + (5 - (2 - 10))
55: 11 + 5 -(2 - 10)
56: (11 + 5) - (2 - 10)
57: 11 - 2 + 10 + 5
58: (11 - 2) + 10 + 5
59: (11 - 2 + 10) + 5
60: ((11 - 2) + 10) + 5
61: 11 - 2 +(10 + 5)
62: (11 - 2) + (10 + 5)
63: (11 - (2 - 10)) + 5
64: 11 - (2 - 10) + 5
65: 11 - (2 - (10 + 5))
66: 11 - (2 - 10 - 5)
67: 11 - ((2 - 10) - 5)
68: 11 × 2 + 10 ÷ 5
69: (11 × 2) + 10 ÷ 5
70: 11 × 2 +(10 ÷ 5)
71: (11 × 2) + (10 ÷ 5)
72: 11 - 2 + 5 + 10
73: (11 - 2) + 5 + 10
74: (11 - 2 + 5) + 10
75: ((11 - 2) + 5) + 10
76: 11 - 2 +(5 + 10)
77: (11 - 2) + (5 + 10)
78: (11 - (2 - 5)) + 10
79: 11 - (2 - 5) + 10
80: 11 - (2 - (5 + 10))
81: 11 - (2 - 5 - 10)
82: 11 - ((2 - 5) - 10)
83: 10 + 11 + 5 - 2
84: (10 + 11) + 5 - 2
85: (10 + 11 + 5) - 2
86: ((10 + 11) + 5) - 2
87: (10 + (11 + 5)) - 2
88: 10 + (11 + 5) - 2
89: 10 + (11 + 5 - 2)
90: 10 + ((11 + 5) - 2)
91: 10 + (11 + (5 - 2))
92: 10 + 11 +(5 - 2)
93: (10 + 11) + (5 - 2)
94: 10 × 11 ÷ 5 + 2
95: (10 × 11) ÷ 5 + 2
96: (10 × 11 ÷ 5) + 2
97: ((10 × 11) ÷ 5) + 2
98: (10 × (11 ÷ 5)) + 2
99: 10 × (11 ÷ 5) + 2
100: 10 + 11 - 2 + 5
101: (10 + 11) - 2 + 5
102: (10 + 11 - 2) + 5
103: ((10 + 11) - 2) + 5
104: (10 + (11 - 2)) + 5
105: 10 + (11 - 2) + 5
106: 10 + (11 - 2 + 5)
107: 10 + ((11 - 2) + 5)
108: 10 + (11 - (2 - 5))
109: 10 + 11 -(2 - 5)
110: (10 + 11) - (2 - 5)
111: 10 + 5 + 11 - 2
112: (10 + 5) + 11 - 2
113: (10 + 5 + 11) - 2
114: ((10 + 5) + 11) - 2
115: (10 + (5 + 11)) - 2
116: 10 + (5 + 11) - 2
117: 10 + (5 + 11 - 2)
118: 10 + ((5 + 11) - 2)
119: 10 + (5 + (11 - 2))
120: 10 + 5 +(11 - 2)
121: (10 + 5) + (11 - 2)
122: 10 ÷ 5 + 11 × 2
123: (10 ÷ 5) + 11 × 2
124: 10 ÷ 5 +(11 × 2)
125: (10 ÷ 5) + (11 × 2)
126: 10 ÷ 5 × 11 + 2
127: (10 ÷ 5) × 11 + 2
128: (10 ÷ 5 × 11) + 2
129: ((10 ÷ 5) × 11) + 2
130: (10 ÷ (5 ÷ 11)) + 2
131: 10 ÷ (5 ÷ 11) + 2
132: 10 + 5 - 2 + 11
133: (10 + 5) - 2 + 11
134: (10 + 5 - 2) + 11
135: ((10 + 5) - 2) + 11
136: (10 + (5 - 2)) + 11
137: 10 + (5 - 2) + 11
138: 10 + (5 - 2 + 11)
139: 10 + ((5 - 2) + 11)
140: 10 + (5 - (2 - 11))
141: 10 + 5 -(2 - 11)
142: (10 + 5) - (2 - 11)
143: 10 ÷ 5 + 2 × 11
144: (10 ÷ 5) + 2 × 11
145: 10 ÷ 5 +(2 × 11)
146: (10 ÷ 5) + (2 × 11)
147: 10 - 2 + 11 + 5
148: (10 - 2) + 11 + 5
149: (10 - 2 + 11) + 5
150: ((10 - 2) + 11) + 5
151: 10 - 2 +(11 + 5)
152: (10 - 2) + (11 + 5)
153: (10 - (2 - 11)) + 5
154: 10 - (2 - 11) + 5
155: 10 - (2 - (11 + 5))
156: 10 - (2 - 11 - 5)
157: 10 - ((2 - 11) - 5)
158: 10 - 2 + 5 + 11
159: (10 - 2) + 5 + 11
160: (10 - 2 + 5) + 11
161: ((10 - 2) + 5) + 11
162: 10 - 2 +(5 + 11)
163: (10 - 2) + (5 + 11)
164: (10 - (2 - 5)) + 11
165: 10 - (2 - 5) + 11
166: 10 - (2 - (5 + 11))
167: 10 - (2 - 5 - 11)
168: 10 - ((2 - 5) - 11)
169: 5 + 11 + 10 - 2
170: (5 + 11) + 10 - 2
171: (5 + 11 + 10) - 2
172: ((5 + 11) + 10) - 2
173: (5 + (11 + 10)) - 2
174: 5 + (11 + 10) - 2
175: 5 + (11 + 10 - 2)
176: 5 + ((11 + 10) - 2)
177: 5 + (11 + (10 - 2))
178: 5 + 11 +(10 - 2)
179: (5 + 11) + (10 - 2)
180: 5 + 11 - 2 + 10
181: (5 + 11) - 2 + 10
182: (5 + 11 - 2) + 10
183: ((5 + 11) - 2) + 10
184: (5 + (11 - 2)) + 10
185: 5 + (11 - 2) + 10
186: 5 + (11 - 2 + 10)
187: 5 + ((11 - 2) + 10)
188: 5 + (11 - (2 - 10))
189: 5 + 11 -(2 - 10)
190: (5 + 11) - (2 - 10)
191: 5 + 10 + 11 - 2
192: (5 + 10) + 11 - 2
193: (5 + 10 + 11) - 2
194: ((5 + 10) + 11) - 2
195: (5 + (10 + 11)) - 2
196: 5 + (10 + 11) - 2
197: 5 + (10 + 11 - 2)
198: 5 + ((10 + 11) - 2)
199: 5 + (10 + (11 - 2))
200: 5 + 10 +(11 - 2)
201: (5 + 10) + (11 - 2)
202: 5 + 10 - 2 + 11
203: (5 + 10) - 2 + 11
204: (5 + 10 - 2) + 11
205: ((5 + 10) - 2) + 11
206: (5 + (10 - 2)) + 11
207: 5 + (10 - 2) + 11
208: 5 + (10 - 2 + 11)
209: 5 + ((10 - 2) + 11)
210: 5 + (10 - (2 - 11))
211: 5 + 10 -(2 - 11)
212: (5 + 10) - (2 - 11)
213: 5 - 2 + 11 + 10
214: (5 - 2) + 11 + 10
215: (5 - 2 + 11) + 10
216: ((5 - 2) + 11) + 10
217: 5 - 2 +(11 + 10)
218: (5 - 2) + (11 + 10)
219: (5 - (2 - 11)) + 10
220: 5 - (2 - 11) + 10
221: 5 - (2 - (11 + 10))
222: 5 - (2 - 11 - 10)
223: 5 - ((2 - 11) - 10)
224: 5 - 2 + 10 + 11
225: (5 - 2) + 10 + 11
226: (5 - 2 + 10) + 11
227: ((5 - 2) + 10) + 11
228: 5 - 2 +(10 + 11)
229: (5 - 2) + (10 + 11)
230: (5 - (2 - 10)) + 11
231: 5 - (2 - 10) + 11
232: 5 - (2 - (10 + 11))
233: 5 - (2 - 10 - 11)
234: 5 - ((2 - 10) - 11)
235: 2 + 11 × 10 ÷ 5
236: 2 + (11 × 10) ÷ 5
237: 2 + (11 × 10 ÷ 5)
238: 2 + ((11 × 10) ÷ 5)
239: 2 + (11 × (10 ÷ 5))
240: 2 + 11 ×(10 ÷ 5)
241: 2 × 11 + 10 ÷ 5
242: (2 × 11) + 10 ÷ 5
243: 2 × 11 +(10 ÷ 5)
244: (2 × 11) + (10 ÷ 5)
245: 2 + 11 ÷ 5 × 10
246: 2 + (11 ÷ 5) × 10
247: 2 + (11 ÷ 5 × 10)
248: 2 + ((11 ÷ 5) × 10)
249: 2 + (11 ÷ (5 ÷ 10))
250: 2 + 11 ÷(5 ÷ 10)
251: 2 + 10 × 11 ÷ 5
252: 2 + (10 × 11) ÷ 5
253: 2 + (10 × 11 ÷ 5)
254: 2 + ((10 × 11) ÷ 5)
255: 2 + (10 × (11 ÷ 5))
256: 2 + 10 ×(11 ÷ 5)
257: 2 + 10 ÷ 5 × 11
258: 2 + (10 ÷ 5) × 11
259: 2 + (10 ÷ 5 × 11)
260: 2 + ((10 ÷ 5) × 11)
261: 2 + (10 ÷ (5 ÷ 11))
262: 2 + 10 ÷(5 ÷ 11)

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大贤者阿托斯
2010-10-10 · TA获得超过1451个赞
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1、(3+4+5)*2=24
4^2+3+5=24
2、2*11+10/5=24
5^2-11+10=24
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