ʹءԴԵʵ

1. سѵԾɢͧŢ 9
(1)ҷҹŢ 9 令ٳѺӹǹӵͺ ҺǡѹŢ 9
9x2=18 Ӥӵͺ 18 Һǡѹ 1+8=9
9x3=27 Ӥӵͺ 27 Һǡѹ 2+7=9
9x4=36 Ӥӵͺ 36 Һǡѹ 3+6=9
9x8=72 Ӥӵͺ 72 Һǡѹ 7+2=9
(2)ҹͧ¡ҧŢӹǹ˹ 987 ҡѺ 978 798 ҡ鹹Ţǹź͡ҡŢҡ
Ѿô 9 ŧ

879_
798
081
Ѿ 81 ô 9 ŧ
(3)ҹͧ¡ҧŢӹǹ˹ 987 ŢѡҺǡѹ 9+8+7 = 24 ǹź ѺŢ
987-24=963 ҹоҼѾ 963 ô9 ŧ ͧ¡ҧ蹴١

(4)Ţ 9 ѧդسѵԾա
987654321x9 = 8888888889
987654321x18 = 1777777778
987654321x27 = 2666666667
987654321x36 = 3555555556
987654321x45 = 4444444445
987654321x54 = 5333333334
987654321x63 = 6222222223
987654321x72 = 7111111112
987654321x81 = 8000000001
(5)ѧŢ 9 ѧդسѵԾɴѧ
1x9+2 = 11
12x9+3 = 111
123x9+4 = 1111
1234x9+5 = 11111
12345x9+6 = 111111
(6)Ţ 9 ѧդسѵԴѧٻẺ
1x8+1 = 9
12x8+2 = 98
123x8+3 = 987
1234x8+4 = 9876
12345x8+5 = 98765

ػ ҡسѵԾɢͧŢ 9 öª㹡äԴŢǢѡѧ
͵ͧäٳŢ㴴 9 8x9 987x9 ԸդԴѴѧ
(1)ŴŢФٳѺ 9 ŧ 1 ¹㹡дɤӵͺ
(2)ŢҺǡѺŢŴŧ 1 ǹ 9 ͷ 繤ӵͺ
8x9 = ? ԸդԴ
(1)Ŵ 8 ŧ 1 7 ¹Ţ 7 㹤ӵͺ
(2)ŢҺǡѺ 7 9 Ţ鹤 2 ¹ 2 ¤ӵͺ 72
Щй 8x9 = 72
աҧ˹
54x99 = ? ԸդԴ
(1) Ŵ 54 ŧ 1 53 ¹Ţ 53 㹤ӵͺ
(2)ŢҺǡѺ 5 9 Ţ鹤 4 ¹ 4 ¨ 534 ѧ診
ŢǡѺ 3 9 Ţ鹤 6 ¹ 6 ͷ 5346 繤ӵͺ
Щй 54x99 = 5346
ǡѺŢ 9 ʹء ¹ Ф




2. Ȩ

"" Ȩç˹
294
753
618
鹵͹ :
(1)ǡŢǹ͹Ҵ¡ѹ ҡѹ
2+9+4 = 15,7+5+3 = 15,6+1+8 = 15
(2)ǡŢǵѡҴ¡ѹҡѹ
2+7+6 = 15,9+5+1 = 15,4+3+8 = 15
(3)ǡŢǷ§Ҵ¡ѹ(ҡ˹ա˹)
2+5+8 = 15, 6+5+4 = 15
ػȨ ҨкǡŢҧ㴡ҨѾҡѹ
ҧȨٻ
672
159
834
438
951
276
816
357
492
492
357
816


ҹͧصԵŢ 仵͹䢢ҧ ʹءѺ

Ȩ٧
115108
144511
79162
126313
112714
813211
103165
15694

źǡǹ͹ ǵǷ§ 34




3. Ţ¹

Ţ¹
鹵͹ҧ
1.¹Ţͧ÷12
2. ٳ 5 12x5 = 60
3. 6 仺ǡ 60+6 = 66
4. 4 令ٳ66x4 = 264
5. 9 仺ǡ264+9 = 273
6. 5 令ٳ273x5 = 1,365
7. ѴŢͧѧ13
8. 1 ź13-1 = 12

Щй 12 Ţ¹

ͧͺѺҧ鹡ѺӹǹŢ繨ԧ




4. ͧ͹

تҵԺ͡Ѻó Ţʹء تҵԺ͡óӴѧ
鹵͹ҧ
1.¹ŢѡŢáŢӡѹ482
2. ѺѡŢ ҵ˹ѧ
ҵ˹˹ ǡҧ͹
284
3. ӹǹź͡ҡӹǹҡ 482 - 284 = 198
4. ͡§Ţѡ¢ͧӵͺ8

Ţ 8 ó͡
تҵ ͺ ӵͺ 198 ͸Ժѡ
ΨŢѡ¡ѺŢѡ˹ͺǡѹҡѺ 9
ѧ ͺǡŢѡشѡ˹ҡѺ 8 ѹź͡ҡ 9
ҡѺ 1 ӵͺ֧ 198
բ Ţѡ˹ѡش 9 Ţѡ ӵͺ "99"

ͧͧѺŢ仹 Ҽŷҧ (" 825 , 125 , 892 , 196")




5. Ţ 4

ʹءҧ˹㹤Եʵ ҾŢ 4 §᷹ӹǹ 1,2,3,4 ... ͧ ǡ ź ٳ ͧ
1 = (4 / 4)x(4 / 4)
2 = (4 / 4) + (4 / 4)
3 = (4 + 4 + 4) / 4
4 = 4 x (4 4) + 4
5 = ((4 x 4) + 4)
6 = 4 + ((4 + 4) / 4)
7 = (4 + 4) - (4 / 4)
8 = 4 + 4 + 4 - 4
9 = (4 + 4)+(4 / 4)
10 = (44 - 4) / 4
11 = (44 - 4) / 4
12 = (44 + 4) / 4
13 = 4 + ((4 - .4 ) / .4)
14 = ( 4 x (4 - .4) - .4 )
15 = (4 x 4) - (4 / 4)
16 = 4 + 4 + 4 + 4
17 = (4 x4) + (4 / 4)
18 = (4 x 4)+(4 / .4)
19 = (((4 + 4 ) - .4) / .4)
20 = 4 x (4 + (4 / 4))



6. ͹Դ

鹵͹ҧ
1.˹Ңͧ͹Դ
1 = .. 2 = .. 3 = ..
4 = .. 5 = .. 6 = ..
7 = .. 8 = .. 9 = ..
10 = .. 11 = .. 12 = ..
Դ͹ չҤ = 3
2. 2 令ٳҢͧ͹ 3 x 2 = 6
3. 5 仺ǡ 6 + 5 = 11
4. 50 令ٳ11 x 50 = 550
5. 仺ǡ 36 : 550 +36 = 586
6. 365 ź586 - 365 = 221
7. 115 仺ǡ221 + 115 = 336

ػ Ţ 3 3 6 Щй Դ͹ չҤ 36

ҹͧص͹Դ跴ͧ٫




7. ԸդԴѴ¡ѧͧŢŧ´ 5

鹵͹ҧ 75 ¡ѧ 2
1.Ţ˹ 5 㹷 77
2. 7 ҤٳѺŢҡ 7 1 㹷 87 x 8 = 56
3. ӼѾҡ (2) 25 5625

Щй 75 ¡ѧ 2 = 5625