幾加幾加幾等於三十。1,3,5,7,9,11,13,15 把這幾個數字填在上面。提示。可以重複,謝

2021-05-25 23:51:28 字數 9959 閱讀 2719

1樓:匿名使用者

證明:假設奇數:

2n+1

那麼任意三個奇數:

2*i + 1

2*j + 1

2*k + 1

相加等於

2(i + j + k) + 3

少年你還說這種問題有解嗎

再不相信:

1+1+1 = 3

1+1+3 = 5

1+1+5 = 7

1+1+7 = 9

1+1+9 = 11

1+1+11 = 13

1+1+13 = 15

1+1+15 = 17

1+3+1 = 5

1+3+3 = 7

1+3+5 = 9

1+3+7 = 11

1+3+9 = 13

1+3+11 = 15

1+3+13 = 17

1+3+15 = 19

1+5+1 = 7

1+5+3 = 9

1+5+5 = 11

1+5+7 = 13

1+5+9 = 15

1+5+11 = 17

1+5+13 = 19

1+5+15 = 21

1+7+1 = 9

1+7+3 = 11

1+7+5 = 13

1+7+7 = 15

1+7+9 = 17

1+7+11 = 19

1+7+13 = 21

1+7+15 = 23

1+9+1 = 11

1+9+3 = 13

1+9+5 = 15

1+9+7 = 17

1+9+9 = 19

1+9+11 = 21

1+9+13 = 23

1+9+15 = 25

1+11+1 = 13

1+11+3 = 15

1+11+5 = 17

1+11+7 = 19

1+11+9 = 21

1+11+11 = 23

1+11+13 = 25

1+11+15 = 27

1+13+1 = 15

1+13+3 = 17

1+13+5 = 19

1+13+7 = 21

1+13+9 = 23

1+13+11 = 25

1+13+13 = 27

1+13+15 = 29

1+15+1 = 17

1+15+3 = 19

1+15+5 = 21

1+15+7 = 23

1+15+9 = 25

1+15+11 = 27

1+15+13 = 29

1+15+15 = 31

3+1+1 = 5

3+1+3 = 7

3+1+5 = 9

3+1+7 = 11

3+1+9 = 13

3+1+11 = 15

3+1+13 = 17

3+1+15 = 19

3+3+1 = 7

3+3+3 = 9

3+3+5 = 11

3+3+7 = 13

3+3+9 = 15

3+3+11 = 17

3+3+13 = 19

3+3+15 = 21

3+5+1 = 9

3+5+3 = 11

3+5+5 = 13

3+5+7 = 15

3+5+9 = 17

3+5+11 = 19

3+5+13 = 21

3+5+15 = 23

3+7+1 = 11

3+7+3 = 13

3+7+5 = 15

3+7+7 = 17

3+7+9 = 19

3+7+11 = 21

3+7+13 = 23

3+7+15 = 25

3+9+1 = 13

3+9+3 = 15

3+9+5 = 17

3+9+7 = 19

3+9+9 = 21

3+9+11 = 23

3+9+13 = 25

3+9+15 = 27

3+11+1 = 15

3+11+3 = 17

3+11+5 = 19

3+11+7 = 21

3+11+9 = 23

3+11+11 = 25

3+11+13 = 27

3+11+15 = 29

3+13+1 = 17

3+13+3 = 19

3+13+5 = 21

3+13+7 = 23

3+13+9 = 25

3+13+11 = 27

3+13+13 = 29

3+13+15 = 31

3+15+1 = 19

3+15+3 = 21

3+15+5 = 23

3+15+7 = 25

3+15+9 = 27

3+15+11 = 29

3+15+13 = 31

3+15+15 = 33

5+1+1 = 7

5+1+3 = 9

5+1+5 = 11

5+1+7 = 13

5+1+9 = 15

5+1+11 = 17

5+1+13 = 19

5+1+15 = 21

5+3+1 = 9

5+3+3 = 11

5+3+5 = 13

5+3+7 = 15

5+3+9 = 17

5+3+11 = 19

5+3+13 = 21

5+3+15 = 23

5+5+1 = 11

5+5+3 = 13

5+5+5 = 15

5+5+7 = 17

5+5+9 = 19

5+5+11 = 21

5+5+13 = 23

5+5+15 = 25

5+7+1 = 13

5+7+3 = 15

5+7+5 = 17

5+7+7 = 19

5+7+9 = 21

5+7+11 = 23

5+7+13 = 25

5+7+15 = 27

5+9+1 = 15

5+9+3 = 17

5+9+5 = 19

5+9+7 = 21

5+9+9 = 23

5+9+11 = 25

5+9+13 = 27

5+9+15 = 29

5+11+1 = 17

5+11+3 = 19

5+11+5 = 21

5+11+7 = 23

5+11+9 = 25

5+11+11 = 27

5+11+13 = 29

5+11+15 = 31

5+13+1 = 19

5+13+3 = 21

5+13+5 = 23

5+13+7 = 25

5+13+9 = 27

5+13+11 = 29

5+13+13 = 31

5+13+15 = 33

5+15+1 = 21

5+15+3 = 23

5+15+5 = 25

5+15+7 = 27

5+15+9 = 29

5+15+11 = 31

5+15+13 = 33

5+15+15 = 35

7+1+1 = 9

7+1+3 = 11

7+1+5 = 13

7+1+7 = 15

7+1+9 = 17

7+1+11 = 19

7+1+13 = 21

7+1+15 = 23

7+3+1 = 11

7+3+3 = 13

7+3+5 = 15

7+3+7 = 17

7+3+9 = 19

7+3+11 = 21

7+3+13 = 23

7+3+15 = 25

7+5+1 = 13

7+5+3 = 15

7+5+5 = 17

7+5+7 = 19

7+5+9 = 21

7+5+11 = 23

7+5+13 = 25

7+5+15 = 27

7+7+1 = 15

7+7+3 = 17

7+7+5 = 19

7+7+7 = 21

7+7+9 = 23

7+7+11 = 25

7+7+13 = 27

7+7+15 = 29

7+9+1 = 17

7+9+3 = 19

7+9+5 = 21

7+9+7 = 23

7+9+9 = 25

7+9+11 = 27

7+9+13 = 29

7+9+15 = 31

7+11+1 = 19

7+11+3 = 21

7+11+5 = 23

7+11+7 = 25

7+11+9 = 27

7+11+11 = 29

7+11+13 = 31

7+11+15 = 33

7+13+1 = 21

7+13+3 = 23

7+13+5 = 25

7+13+7 = 27

7+13+9 = 29

7+13+11 = 31

7+13+13 = 33

7+13+15 = 35

7+15+1 = 23

7+15+3 = 25

7+15+5 = 27

7+15+7 = 29

7+15+9 = 31

7+15+11 = 33

7+15+13 = 35

7+15+15 = 37

9+1+1 = 11

9+1+3 = 13

9+1+5 = 15

9+1+7 = 17

9+1+9 = 19

9+1+11 = 21

9+1+13 = 23

9+1+15 = 25

9+3+1 = 13

9+3+3 = 15

9+3+5 = 17

9+3+7 = 19

9+3+9 = 21

9+3+11 = 23

9+3+13 = 25

9+3+15 = 27

9+5+1 = 15

9+5+3 = 17

9+5+5 = 19

9+5+7 = 21

9+5+9 = 23

9+5+11 = 25

9+5+13 = 27

9+5+15 = 29

9+7+1 = 17

9+7+3 = 19

9+7+5 = 21

9+7+7 = 23

9+7+9 = 25

9+7+11 = 27

9+7+13 = 29

9+7+15 = 31

9+9+1 = 19

9+9+3 = 21

9+9+5 = 23

9+9+7 = 25

9+9+9 = 27

9+9+11 = 29

9+9+13 = 31

9+9+15 = 33

9+11+1 = 21

9+11+3 = 23

9+11+5 = 25

9+11+7 = 27

9+11+9 = 29

9+11+11 = 31

9+11+13 = 33

9+11+15 = 35

9+13+1 = 23

9+13+3 = 25

9+13+5 = 27

9+13+7 = 29

9+13+9 = 31

9+13+11 = 33

9+13+13 = 35

9+13+15 = 37

9+15+1 = 25

9+15+3 = 27

9+15+5 = 29

9+15+7 = 31

9+15+9 = 33

9+15+11 = 35

9+15+13 = 37

9+15+15 = 39

11+1+1 = 13

11+1+3 = 15

11+1+5 = 17

11+1+7 = 19

11+1+9 = 21

11+1+11 = 23

11+1+13 = 25

11+1+15 = 27

11+3+1 = 15

11+3+3 = 17

11+3+5 = 19

11+3+7 = 21

11+3+9 = 23

11+3+11 = 25

11+3+13 = 27

11+3+15 = 29

11+5+1 = 17

11+5+3 = 19

11+5+5 = 21

11+5+7 = 23

11+5+9 = 25

11+5+11 = 27

11+5+13 = 29

11+5+15 = 31

11+7+1 = 19

11+7+3 = 21

11+7+5 = 23

11+7+7 = 25

11+7+9 = 27

11+7+11 = 29

11+7+13 = 31

11+7+15 = 33

11+9+1 = 21

11+9+3 = 23

11+9+5 = 25

11+9+7 = 27

11+9+9 = 29

11+9+11 = 31

11+9+13 = 33

11+9+15 = 35

11+11+1 = 23

11+11+3 = 25

11+11+5 = 27

11+11+7 = 29

11+11+9 = 31

11+11+11 = 33

11+11+13 = 35

11+11+15 = 37

11+13+1 = 25

11+13+3 = 27

11+13+5 = 29

11+13+7 = 31

11+13+9 = 33

11+13+11 = 35

11+13+13 = 37

11+13+15 = 39

11+15+1 = 27

11+15+3 = 29

11+15+5 = 31

11+15+7 = 33

11+15+9 = 35

11+15+11 = 37

11+15+13 = 39

11+15+15 = 41

13+1+1 = 15

13+1+3 = 17

13+1+5 = 19

13+1+7 = 21

13+1+9 = 23

13+1+11 = 25

13+1+13 = 27

13+1+15 = 29

13+3+1 = 17

13+3+3 = 19

13+3+5 = 21

13+3+7 = 23

13+3+9 = 25

13+3+11 = 27

13+3+13 = 29

13+3+15 = 31

13+5+1 = 19

13+5+3 = 21

13+5+5 = 23

13+5+7 = 25

13+5+9 = 27

13+5+11 = 29

13+5+13 = 31

13+5+15 = 33

13+7+1 = 21

13+7+3 = 23

13+7+5 = 25

13+7+7 = 27

13+7+9 = 29

13+7+11 = 31

13+7+13 = 33

13+7+15 = 35

13+9+1 = 23

13+9+3 = 25

13+9+5 = 27

13+9+7 = 29

13+9+9 = 31

13+9+11 = 33

13+9+13 = 35

13+9+15 = 37

13+11+1 = 25

13+11+3 = 27

13+11+5 = 29

13+11+7 = 31

13+11+9 = 33

13+11+11 = 35

13+11+13 = 37

13+11+15 = 39

13+13+1 = 27

13+13+3 = 29

13+13+5 = 31

13+13+7 = 33

13+13+9 = 35

13+13+11 = 37

13+13+13 = 39

13+13+15 = 41

13+15+1 = 29

13+15+3 = 31

13+15+5 = 33

13+15+7 = 35

13+15+9 = 37

13+15+11 = 39

13+15+13 = 41

13+15+15 = 43

15+1+1 = 17

15+1+3 = 19

15+1+5 = 21

15+1+7 = 23

15+1+9 = 25

15+1+11 = 27

15+1+13 = 29

15+1+15 = 31

15+3+1 = 19

15+3+3 = 21

15+3+5 = 23

15+3+7 = 25

15+3+9 = 27

15+3+11 = 29

15+3+13 = 31

15+3+15 = 33

15+5+1 = 21

15+5+3 = 23

15+5+5 = 25

15+5+7 = 27

15+5+9 = 29

15+5+11 = 31

15+5+13 = 33

15+5+15 = 35

15+7+1 = 23

15+7+3 = 25

15+7+5 = 27

15+7+7 = 29

15+7+9 = 31

15+7+11 = 33

15+7+13 = 35

15+7+15 = 37

15+9+1 = 25

15+9+3 = 27

15+9+5 = 29

15+9+7 = 31

15+9+9 = 33

15+9+11 = 35

15+9+13 = 37

15+9+15 = 39

15+11+1 = 27

15+11+3 = 29

15+11+5 = 31

15+11+7 = 33

15+11+9 = 35

15+11+11 = 37

15+11+13 = 39

15+11+15 = 41

15+13+1 = 29

15+13+3 = 31

15+13+5 = 33

15+13+7 = 35

15+13+9 = 37

15+13+11 = 39

15+13+13 = 41

15+13+15 = 43

15+15+1 = 31

15+15+3 = 33

15+15+5 = 35

15+15+7 = 37

15+15+9 = 39

15+15+11 = 41

15+15+13 = 43

15+15+15 = 45

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