设函数y=kx+b，让k=1，x为2a1，b=1，画y的图像
已知
5(2a1+1)=3a1+3*3a2+3a3
2a1+1有5个结果，把这5个结构画在一起，第一结构是3a1
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1 |
2 |
* |
3 |
4 |
|
5 |
6 |
* |
7 |
8 |
表中1，2，3，4，5，6，7，8这8个位置都构成3a1，这里取距离2a1平均距离最短的点，则2，3，6，7都符合，因为是从上倒下，从左到右的顺序搜索，因此选择2.得到
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3a1 | ||||
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1 |
2a1 |
→ |
1 |
按同样办法得到
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3a1 | ||||||||||||
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1 |
2a1 |
→ |
1 | |||||||||
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3a1 |
3a2 | |||||||||||
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2 |
2a1 |
→ |
1 |
→ |
2 | |||||||
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3a1 |
3a2 |
3a2 | ||||||||||
|
3 |
2a1 |
→ |
1 |
→ |
2 |
→ |
3 | |||||
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3a1 |
3a2 |
3a2 |
3a2 | |||||||||
|
4 |
2a1 |
→ |
1 |
→ |
2 |
→ |
3 |
→ |
4 | |||
|
3a1 |
3a2 |
3a2 |
3a2 |
3a3 | ||||||||
|
5 |
2a1 |
→ |
1 |
→ |
2 |
→ |
3 |
→ |
4 |
→ |
5 |
到第6步开始就在3a1的基础上继续加1，这里只加到3a1
13(3a1+1)=2*4a1+4a2+2*4a3+2*4a4+4*4a12+2*4a14
共有13个结果
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4a1 | ||||||||
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6 |
5 |
→ |
6 | |||||
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4a1 |
4a1 | |||||||
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7 |
5 |
→ |
6 |
→ |
7 | |||
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4a1 |
4a1 |
4a2 | ||||||
|
8 |
5 |
→ |
6 |
→ |
7 |
→ |
8 |
|
4a1 |
4a1 |
4a2 |
4a3 | |||||||||||
|
9 |
5 |
→ |
6 |
→ |
7 |
→ |
8 |
→ |
9 | |||||
|
4a1 |
4a1 |
4a2 |
4a3 |
4a3 | ||||||||||
|
10 |
5 |
→ |
6 |
→ |
7 |
→ |
8 |
→ |
9 |
→ |
10 | |||
|
4a1 |
4a1 |
4a2 |
4a3 |
4a3 |
4a4 | |||||||||
|
11 |
5 |
→ |
6 |
→ |
7 |
→ |
8 |
→ |
9 |
→ |
10 |
→ |
11 | |
|
4a1 |
4a1 |
4a2 |
4a3 |
4a3 |
4a4 | |||||||||
|
12 |
5 |
→ |
6 |
→ |
7 |
→ |
8 |
→ |
9 |
→ |
10 |
→ |
11 | |
|
4a4 | ||||||||||||||
|
→ |
12 | |||||||||||||
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4a1 |
4a1 |
4a2 |
4a3 |
4a3 |
4a4 | |||||||||
|
13 |
5 |
→ |
6 |
→ |
7 |
→ |
8 |
→ |
9 |
→ |
10 |
→ |
11 | |
|
4a4 |
4a12 | |||||||||||||
|
→ |
12 |
→ |
13 | |||||||||||
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4a1 |
4a1 |
4a2 |
4a3 |
4a3 |
4a4 | |||||||||
|
14 |
5 |
→ |
6 |
→ |
7 |
→ |
8 |
→ |
9 |
→ |
10 |
→ |
11 | |
|
4a4 |
4a12 |
4a14 | ||||||||||||
|
→ |
12 |
→ |
13 |
→ |
14 |
这里第13张图是+1成为4a12，系数是4，但这4个位置是重合的因此+1变成4a12只有1步。
|
4a1 |
4a1 |
4a2 |
4a3 |
4a3 |
4a4 | |||||||||
|
15 |
5 |
→ |
6 |
→ |
7 |
→ |
8 |
→ |
9 |
→ |
10 |
→ |
11 | |
|
4a4 |
4a12 |
4a14 |
4a14 | |||||||||||
|
→ |
12 |
→ |
13 |
→ |
14 |
→ |
15 |
所以函数y=x+1，x=2a1，连续加2个结构可以得到图15.
13(3a1+1)=2*4a1+4a2+2*4a3+2*4a4+4*4a12+2*4a14
6(3a2+1)=4a3+4a5+4*4a6
15(3a3+1)=2*4a1+4a2+4a3+3*4a5+2*4a7+4*4a8+2*4a11
15(3a4+1)=4a2+4a4+2*4a9+3*4a10+2*4a11+2*4a14+4*4a15
9(3a5+1)=4a2+2*4a7+2*4a9+4*4a13
6(3a6+1)=4a4+4a10+4*4a16
7(4a1+1)=2*5a1+5a2+5a3+5a4+2*5a12
24(4a2+1)=2*5a2+2*5a3+2*5a4+2*5a5+2*5a6+2*5a7+2*5a9+2*5a13+2*5a14+4*5a15+2*5a21
11(4a3+1)=5a1+5a7+2*5a8+3*5a10+2*5a12+2*5a14
11(4a4+1)=2*5a3+5a5+2*5a8+3*5a11+2*5a24+5a29
13(4a5+1)=5a1+5a7+5a10+2*5a17+4*5a19+2*5a20+2*5a27
7(4a6+1)=5a10+5a19+5*5a25
17(4a7+1)=2*5a2+5a6+5a7+5a9+3*5a20+2*5a22+3*5a28+4*5a31
6(4a8+1)=5a1+5a9+3*5a27+5a31
17(4a9+1)=5a5+5a6+5a13+3*5a16+3*5a18+2*5a21+2*5a22+4*5a30
13(4a10+1)=5a5+5a11+2*5a16+4*5a23+2*5a26+5a29+2*5a32
11(4a11+1)=5a4+5a8+5a9+5a13+3*5a17+5a22+3*5a26
3(4a12+1)=5a12+5a15+5a24
10(4a13+1)=5a6+2*5a18+2*5a28+5*5a33
7(4a14+1)=5a4+5a14+5a21+2*5a24+2*5a29
6(4a15+1)=5a13+5a29+5a30+3*5a32
7(4a16+1)=5a11+5a23+5*5a34
按照此规则，这个图像可以按照3+1，4+1，…一直不断的画下去，有理由测测把结构一次函数画出来是一种由中心向四周扩散的不规则图像。
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