教案篇─數學魔術—27個數學概念奇蹟
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Transcript of 教案篇─數學魔術—27個數學概念奇蹟
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-27
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-27 -27
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-27 2009 5 227
-27 5 .
1. 2. 3. 4. 5. 6. 7. A 8. 9. 10.
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1. 2. 3. 4. 5. 6.
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7. 8. 13 9. 7-11
. 1. 2. 3. 4. 5. 6. 9 7. Pattern 8.
1. -27 27
2. 9
3.
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21cm 20cm
3
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( 5)
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5
5
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9 28
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2. 10
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()()
()() 2
2
5 10 15 2 6
5 5
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100
23 5()
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1 6 ()
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1. 5
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) 1
1
2 2 23571113
17192329313741434753596167717379838997
41
412=1681
16816=280 1
1
5 5 5 12
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3
35
6 6n6n16n26n36n46n5
2.6n6n26n4 2 2
3.6n33(2n1) 3
4. 5 6n1 6n5
5.( 6n1)2 36n212 n1 6(6n22 n)1 6 1 6 1 6.( 6n5)2 36n260 n25 6(6n210 n4)1 6 1 6 1 7. 5 6 1
8. 1
()
15
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3
36
(9)
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()
(1099)23232=2121-3=18
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(1099)
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2 3 5
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37
() () () ()
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1.x y
2.10xy 3.
10xyxy 9x 4. 9 5. 9
6. 90() 9
90
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2 2 6 10
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99.9%
()()
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56
()()
52
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56
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()
(2009)
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3
40
3 12
1 2 3
1 11 21 31 2 11 22 31 4 13 22 313 13 23 3 14 23 5 14 23 5 15 25 6 15 26 6 15 28 7 17 27 7 18 27 7 20 29 9 19 29 10 19 30 12 21 30
4 5
8 13 26 31 16 21 26 31 9 14 27 17 22 27 10 15 28 18 23 28 11 24 29 19 24 29 12 25 30 20 25 30
19 125
3 19
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3
41
12345678
23 22 21 20 23 22 21 20
1 20 1
2 21 1 0
3 21 +20 0 1 1
4 22 1 0 0
5 22 +20 1 0 1
6 22 +21 1 1 0
7 22 +21 +20 1 1 1
8 23 1 0 0 0
20 1 21 2 22 3
13 57
23 67
45 67
1 (20) 2 (21) 3 (22)
1 201 2
212 3 2246 23 2+4 6
12
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3
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31
1.
135 7911
236 71011
456 712
8910 1112
1 2 3 3 2. 100 1000
3.
1 12 232 1132922523
1 1
2
1 14-14
2-2 16
4 17-17
5-5 19
7 20-20
8-8 22
10 23-23
11-11 25
13 26-26
3 15-15
4 16-16
5 17-17
6-6 21
7-7 22
8-8 23
12 24-24
13 25-25
14 26-26
9 18-18
10 19-19
11 20-20
12 21-21
13 22-22
14 23-23
15 24-24
16 25-25
17 26-26
1 2 3
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3
43
1
2
100 2357111317192329313741434753
596167717379838997
41
412=1681
6
16816=280 1
1
0 42 1 2 100 3 50 4
5 2B
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3
44
9 (10 99)
23 2+3=5 23-5=18 18