( ) 56 2006 1 28
( ) 2006 1
180 2
180 3
180 1 4
180 2 5
180 3 6
180 4 7
( ) 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 8
( ) 9
P18 A A 10
P18 A A : = A : A 11
P18 A A : = A : A 12
P18 A F E A : = A : EF E // A, F // E AF A E = F A : = F A : E = F A : F = A : 13
P18 ( ) A : = A : E A F 14
1 ( ) 2 15
2005 a a, b, c(> 0) a b c, a < b + c P23 16
A a 17
A E F G H b c a 18
E F G H b c I a 19
A J E F G H b c I a 20
A J G b G H c I a 21
A E J F b F c I a 22
K I 23
( ) 24
2006 1) 2) 3) 1 80 1 80 79 80 25
2006 2006 4 26
27
( ) 28
( ) ( ) 29
( )? 30
( ) ( ) ( ) ) 31
A A A 30 A 40 A ) P4 A 32
A A = A = 30 A = 40 A =? E 33
2 30 A A = A = 30 A = 40 A =? 40 E 34
3 30 A A = A = 30 A = 40 A =? 40 35
3 30 A A = A = 30 A = 40 A =? 40 E 36
3 A 30 30 A = A = 30 A = 40 A =? 40 F 40 E 37
3 A 30 30 A = A = 30 A = 40 A =? 40 F 40 E 38
P S R Q 39
P S R Q 40
P S R Q 41
P S R Q 42
43
44
45
46
O PQRS 47
P S R Q O 48
(1) A 49
(1) A 50
(1) E A 51
A A 52
A A 53
(2) 54
(2) 55
(3) 56
(3) 57
(4) 58
(4) 59
( ) ( ) P14-16 60
1 A A = A, =, A // = E A E P19 61
1 A A = A, =, A // = E A E A A P19 62
1 A A = A, =, A // = E A E A A P19 63
1 A A = A, =, A // = E A E A A P19 64
1 A A = A, =, A // = E A E A A E = E 65
2 A A E A = A, =, A // = E P19 66
2 A A E A = A, =, A // = E P19 67
2 A A E A = A, =, A // = E P19 68
2 A 69
a a A 70
a a A 71
P a a A (P) A 72
A P a a A (P) AP 73
P A 74
P A 75
A A = A, =, F A E A // = E E = E P13 76
F O P G E A P13 77
P A P = P = 15 P AP P13 A 78
( 1984.8 ) θ 8 θ 7 θ 6 θ 5 A θ 1 θ 2 θ 4 θ 3 θ 1 + θ 2 + θ 3 + θ 8 = 180 θ 2 + θ 3 + θ 4 + θ 5 = 180 θ 6 + θ 7 = θ 2 + θ 3 P14 sin θ 1 sin θ 3 sin θ 5 sin θ 7 = sin θ 2 sin θ 4 sin θ 6 sin θ 8 79
( 1984.8 ) θ 1 θ 8 80
( 1984.8 ) 180 n n = 8 n = 36(n ) 81
( 1984.8 ) n = 18(10 ) 724 A ( ) 372 ( ) 152(A 100 ) (1 ) 48 (1 ) 48 E 24 ( 12 ) A, 300 P22 82
300 ( 1984.8 ) x A θ 1 θ 2 θ 4 θ 3 83
➀ ➁ ➂ ➃ ➄ ➅ ( ) P17 84
( ) A x d a b c ➀ 40, 30, 80, 20 ➁ 10, 10, 40, 110 ➂ 40, 60, 30, 70 ➃ 10, 20, 40, 40 ➄ 20, 30, 70, 40 4 85
20, 60, 50, 30 P20 86
A 40, 30, 80, 20 x 40 80 20 30 87
A 40, 30, 80, 20 x 20 40 30 80 88
A 40, 30, 80, 20 x A 20 40 30 80 89
A 40, 30, 80, 20 x A A 20 40 30 80 90
A x 20 40 30 80 40, 30, 80, 20 A A A A = 50 2 = 100 91
10, 10, 40, 110 92
= 10, 10, 40, 110 A x 10 10 40 110 93
A A A x 10 10 40 110 94
A N: A N A 10 10 40 110 x 95
N, : N N A 10 10 40 110 x 96
N = N = 60 = NA N A 10 10 40 110 x 97
AO A N O 10 10 40 110 x 98
40, 60, 30, 70 99
N x 40, 60, 30, 70 A A A M 40 60 30 70 A N N N N A x = 10 100
10, 20, 40, 40 101
= 10, 20, 40, 40 A A E 10 20 40 40 x A A A A E A A A = A x = 20 102
20, 30, 70, 40 103
= 20, 30, 70, 40 A x 20 40 30 70 P9 104
= 20, 30, 70, 40 A x 20 40 30 70 E 105
= 20, 30, 70, 40 A x 20 40 30 70 P9 106
= 20, 30, 70, 40 A x 20 40 30 70 P9 107
= 20, 30, 70, 40 O A 20 40 30 70 P9 x A = 1 2 O O A 108
= 20, 30, 70, 40 A x 20 40 30 70 P9 109
= 20, 30, 70, 40 A x 20 40 30 70 A P9 110
= 20, 30, 70, 40 G E A 20 40 30 70 F P9 x A E EG,AE 111
A 4 A = 2 A α 2α A A 36 (300 ) 112
10, 20, 100, 20 = 10, 30, 70, 30 113
= 10, 30, 70, 30 A x 30 10 70 30 114
= 10, 30, 70, 30 A x 30 10 E F 70 30 E = 2 FE = 2 E 115
= 10, 30, 70, 30 30 10 E F A x 70 30 E = 2 FE = 2 E EF 116
= 10, 30, 70, 30 30 10 E F A x 70 30 E = 2 FE = 2 E EF E AE A x = 30 117
= 10, 20, 100, 20 = 10, 30, 70, 30 A x 10 20 100 20 118
= 10, 20, 100, 20 = 10, 30, 70, 30 E A x 10 20 100 20 119
= 10, 20, 100, 20 = 10, 30, 70, 30 E 30 10 30 30 70 A x 10, 30, 70, 30 AE 120
20, 60, 50, 30 langley 121
A 20, 60, 50, 30 20 E x = 60 E = 50 E 30 30 60 50 122
A 20 20, 60, 50, 30 A EF F E x 60 50 F 123
x 20, 60, 50, 30 A 60 50 124
20, 60, 50, 30 x A 60 50 125
20, 60, 50, 30 G x F A G A F E 60 50 126
20, 60, 50, 30 A G F x F A G F A,G AFG GF A E 60 50 127
A 20 20, 60, 50, 30 E x 30 30 60 50 128
A 20 20, 60, 50, 30 E x A A 30 30 60 50 129
A 20 20, 60, 50, 30 E x A A 30 30 60 50 130
A 20 20, 60, 50, 30 E x A 30 30 60 50 131
P3 132
133