结构一次函数的图像
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
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
3a1 | ||||
1 | 2a1 | → | 1 |
按同样办法得到
3a1 | ||||||||||||
1 | 2a1 | → | 1 | |||||||||
3a1 | 3a2 | |||||||||||
2 | 2a1 | → | 1 | → | 2 | |||||||
3a1 | 3a2 | 3a2 | ||||||||||
3 | 2a1 | → | 1 | → | 2 | → | 3 | |||||
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
4a1 | ||||||||
6 | 5 | → | 6 | |||||
4a1 | 4a1 | |||||||
7 | 5 | → | 6 | → | 7 | |||
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 | |||||||||||||
4a1 | 4a1 | 4a2 | 4a3 | 4a3 | 4a4 | |||||||||
13 | 5 | → | 6 | → | 7 | → | 8 | → | 9 | → | 10 | → | 11 | |
4a4 | 4a12 | |||||||||||||
→ | 12 | → | 13 | |||||||||||
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。