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1 ( )
2 ( )
3 180 2
4 180 3
5
6
7
8
9 ( )
10 ( ) 9
11 P18 A A 10
12 P18 A A : = A : A 11
13 P18 A A : = A : A 12
14 P18 A F E A : = A : EF E // A, F // E AF A E = F A : = F A : E = F A : F = A : 13
15 P18 ( ) A : = A : E A F 14
16 1 ( ) 2 15
17 2005 a a, b, c(> 0) a b c, a < b + c P23 16
18 A a 17
19 A E F G H b c a 18
20 E F G H b c I a 19
21 A J E F G H b c I a 20
22 A J G b G H c I a 21
23 A E J F b F c I a 22
24 K I 23
25 ( ) 24
26 2006 1) 2) 3)
27
28 27
29 ( ) 28
30 ( ) ( ) 29
31 ( )? 30
32 ( ) ( ) ( ) ) 31
33 A A A 30 A 40 A ) P4 A 32
34 A A = A = 30 A = 40 A =? E 33
35 2 30 A A = A = 30 A = 40 A =? 40 E 34
36 3 30 A A = A = 30 A = 40 A =? 40 35
37 3 30 A A = A = 30 A = 40 A =? 40 E 36
38 3 A A = A = 30 A = 40 A =? 40 F 40 E 37
39 3 A A = A = 30 A = 40 A =? 40 F 40 E 38
40 P S R Q 39
41 P S R Q 40
42 P S R Q 41
43 P S R Q 42
44 43
45 44
46 45
47 46
48 O PQRS 47
49 P S R Q O 48
50 (1) A 49
51 (1) A 50
52 (1) E A 51
53 A A 52
54 A A 53
55 (2) 54
56 (2) 55
57 (3) 56
58 (3) 57
59 (4) 58
60 (4) 59
61 ( ) ( ) P
62 1 A A = A, =, A // = E A E P19 61
63 1 A A = A, =, A // = E A E A A P19 62
64 1 A A = A, =, A // = E A E A A P19 63
65 1 A A = A, =, A // = E A E A A P19 64
66 1 A A = A, =, A // = E A E A A E = E 65
67 2 A A E A = A, =, A // = E P19 66
68 2 A A E A = A, =, A // = E P19 67
69 2 A A E A = A, =, A // = E P19 68
70 2 A 69
71 a a A 70
72 a a A 71
73 P a a A (P) A 72
74 A P a a A (P) AP 73
75 P A 74
76 P A 75
77 A A = A, =, F A E A // = E E = E P13 76
78 F O P G E A P13 77
79 P A P = P = 15 P AP P13 A 78
80 ( ) 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
81 ( ) θ 1 θ 8 80
82 ( ) 180 n n = 8 n = 36(n ) 81
83 ( ) n = 18(10 ) 724 A ( ) 372 ( ) 152(A 100 ) (1 ) 48 (1 ) 48 E 24 ( 12 ) A, 300 P22 82
84 300 ( ) x A θ 1 θ 2 θ 4 θ 3 83
85 ➀ ➁ ➂ ➃ ➄ ➅ ( ) P17 84
86 ( ) 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,
87 20, 60, 50, 30 P20 86
88 A 40, 30, 80, 20 x
89 A 40, 30, 80, 20 x
90 A 40, 30, 80, 20 x A
91 A 40, 30, 80, 20 x A A
92 A x , 30, 80, 20 A A A A = 50 2 =
93 10, 10, 40,
94 = 10, 10, 40, 110 A x
95 A A A x
96 A N: A N A x 95
97 N, : N N A x 96
98 N = N = 60 = NA N A x 97
99 AO A N O x 98
100 40, 60, 30, 70 99
101 N x 40, 60, 30, 70 A A A M A N N N N A x =
102 10, 20, 40,
103 = 10, 20, 40, 40 A A E x A A A A E A A A = A x =
104 20, 30, 70,
105 = 20, 30, 70, 40 A x P9 104
106 = 20, 30, 70, 40 A x E 105
107 = 20, 30, 70, 40 A x P9 106
108 = 20, 30, 70, 40 A x P9 107
109 = 20, 30, 70, 40 O A P9 x A = 1 2 O O A 108
110 = 20, 30, 70, 40 A x P9 109
111 = 20, 30, 70, 40 A x A P9 110
112 = 20, 30, 70, 40 G E A F P9 x A E EG,AE 111
113 A 4 A = 2 A α 2α A A 36 (300 ) 112
114 10, 20, 100, 20 = 10, 30, 70,
115 = 10, 30, 70, 30 A x
116 = 10, 30, 70, 30 A x E F E = 2 FE = 2 E 115
117 = 10, 30, 70, E F A x E = 2 FE = 2 E EF 116
118 = 10, 30, 70, E F A x E = 2 FE = 2 E EF E AE A x =
119 = 10, 20, 100, 20 = 10, 30, 70, 30 A x
120 = 10, 20, 100, 20 = 10, 30, 70, 30 E A x
121 = 10, 20, 100, 20 = 10, 30, 70, 30 E A x 10, 30, 70, 30 AE 120
122 20, 60, 50, 30 langley 121
123 A 20, 60, 50, E x = 60 E = 50 E
124 A 20 20, 60, 50, 30 A EF F E x F 123
125 x 20, 60, 50, 30 A
126 20, 60, 50, 30 x A
127 20, 60, 50, 30 G x F A G A F E
128 20, 60, 50, 30 A G F x F A G F A,G AFG GF A E
129 A 20 20, 60, 50, 30 E x
130 A 20 20, 60, 50, 30 E x A A
131 A 20 20, 60, 50, 30 E x A A
132 A 20 20, 60, 50, 30 E x A
133 P3 132
134 133
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