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- Методические материалы по математике для 9 класса «Решение треугольников»
Методические материалы по математике для 9 класса «Решение треугольников»
№1
a
b
c
α
β
γ
13
30˚
80
19
91
113
45˚
№8
a
b
c
α
β
γ
31
24
45˚
63
17
73
17
145
135˚
№2
a
b
c
α
β
γ
26
30˚
35
13
43
15
113
45˚
№9
a
b
c
α
β
γ
33
7
120˚
71
11
61
19
91
30˚
№3
a
b
c
α
β
γ
23
8
45˚
85
11
91
11
91
30˚
№10
a
b
c
α
β
γ
24
35
60˚
97
84
85
19
91
150˚
№4
a
b
c
α
β
γ
16
5
120˚
71
84
85
17
73
150˚
№11
a
b
c
α
β
γ
23
15
45˚
17
80
73
19
181
135˚
№5
a
b
c
α
β
γ
2
3
150˚
85
96
91
17
145
45˚
№12
a
b
c
α
β
γ
3
8
60˚
97
13
85
176
169
30˚
№6
a
b
c
α
β
γ
1
3
135˚
40
91
79
15
169
120˚
№13
a
b
c
α
β
γ
11
150˚
9
65
61
23
133
30˚
№7
a
b
c
α
β
γ
23
15
30˚
33
40
37
25
157
120˚
№14
a
b
c
α
β
γ
11
3
30˚
80
99
91
144
145
45˚
№15
a
b
c
α
β
γ
22
7
30˚
22
13
43
133
127
60˚
№22
a
b
c
α
β
γ
13
48
60˚
47
7
37
23
133
150˚
№16
a
b
c
α
β
γ
26
21
30˚
49
9
41
168
157
60˚
№23
a
b
c
α
β
γ
46
11
30˚
47
9
61
176
169
60˚
№17
a
b
c
α
β
γ
7
40
60˚
71
60
61
15
169
150˚
№24
a
b
c
α
β
γ
31
9
135˚
47
40
37
25
157
150˚
№18
a
b
c
α
β
γ
1
8
30˚
49
40
41
32
193
120˚
№25
a
b
c
α
β
γ
1
7
150˚
61
13
43
143
133
60˚
№19
a
b
c
α
β
γ
5
8
60˚
97
80
73
19
181
45˚
№26
a
b
c
α
β
γ
1
21
45˚
56
65
61
13
127
30˚
№20
a
b
c
α
β
γ
7
15
45˚
39
55
49
143
133
30˚
№27
a
b
c
α
β
γ
22
15
30˚
74
11
91
20
101
45˚
№21
a
b
c
α
β
γ
7
15
60˚
97
17
73
99
101
45˚
№28
a
b
c
α
β
γ
17
12
45˚
19
99
91
25
157
30˚
№1
a
b
c
α
β
γ
13
7
112˚
38˚
30˚
80
19
91
50˚
10˚
120˚
127
113
53˚
82˚
45˚
№8
a
b
c
α
β
γ
31
24
25
61˚
74˚
45˚
63
17
73
48˚
12˚
120˚
127
17
145
38˚
7˚
135˚
№2
a
b
c
α
β
γ
26
19
137˚
13˚
30˚
35
13
43
45˚
15˚
120˚
127
15
113
127˚
8˚
45˚
№9
a
b
c
α
β
γ
33
7
37
51˚
9˚
120˚
71
11
61
125˚
10˚
45˚
118
19
91
140˚
10˚
30˚
№3
a
b
c
α
β
γ
23
8
17
107˚
28˚
45˚
85
11
91
54˚
6˚
120˚
107
11
91
144˚
6˚
30˚
№10
a
b
c
α
β
γ
24
35
31
42˚
78˚
60˚
97
84
85
54˚
81˚
45˚
61
19
91
20˚
10˚
150˚
№4
a
b
c
α
β
γ
16
5
19
47˚
13˚
120˚
71
84
85
26˚
99˚
45˚
46
17
73
18˚
12˚
150˚
№11
a
b
c
α
β
γ
23
15
17
73˚
62˚
45˚
17
80
73
12˚
108˚
60˚
161
19
181
39˚
6˚
135˚
№5
a
b
c
α
β
γ
2
3
7
8˚
22˚
150˚
85
96
91
54˚
66˚
60˚
161
17
145
128˚
7˚
45˚
№12
a
b
c
α
β
γ
3
8
7
22˚
98˚
60˚
97
13
85
126˚
9˚
45˚
337
176
169
86˚
64˚
30˚
№6
a
b
c
α
β
γ
1
3
5
8˚
37˚
135˚
40
91
79
26˚
94˚
60˚
161
15
169
56˚
4˚
120˚
№13
a
b
c
α
β
γ
11
19
17˚
13˚
150˚
9
65
61
7˚
113˚
60˚
166
23
133
141˚
9˚
30˚
№7
a
b
c
α
β
γ
23
15
13
62˚
88˚
30˚
33
40
37
51˚
69˚
60˚
143
25
157
52˚
8˚
120˚
№14
a
b
c
α
β
γ
11
3
7
128˚
22˚
30˚
80
99
91
50˚
70˚
60˚
161
144
145
52˚
83˚
45˚
№15
a
b
c
α
β
γ
22
7
13
122˚
28˚
30˚
22
13
43
15˚
15˚
150˚
120
133
127
55˚
65˚
60˚
№22
a
b
c
α
β
γ
13
48
43
15˚
105˚
60˚
47
7
37
141˚
9˚
30˚
97
23
133
21˚
9˚
150˚
№16
a
b
c
α
β
γ
26
21
19
43˚
107˚
30˚
49
9
41
122˚
13˚
45˚
143
168
157
52˚
68˚
60˚
№23
a
b
c
α
β
γ
46
11
31
132˚
18˚
30˚
47
9
61
23˚
7˚
150˚
161
176
169
56˚
64˚
60˚
№17
a
b
c
α
β
γ
7
40
37
9˚
111˚
60˚
71
60
61
55˚
80˚
45˚
146
15
169
26˚
4˚
150˚
№24
a
b
c
α
β
γ
31
9
41
32˚
13˚
135˚
47
40
37
39˚
11˚
30˚
118
25
157
22˚
8˚
150˚
№18
a
b
c
α
β
γ
1
8
13
2˚
148˚
30˚
49
40
41
58˚
77˚
45˚
175
32
193
52˚
8˚
120˚
№25
a
b
c
α
β
γ
1
7
13
2˚
28˚
150˚
61
13
43
135˚
15˚
30˚
120
143
133
51˚
69˚
60˚
№19
a
b
c
α
β
γ
5
8
7
38˚
82˚
60˚
97
80
73
42˚
108˚
30˚
199
19
181
129˚
6˚
45˚
№26
a
b
c
α
β
γ
1
21
29
1˚
134˚
45˚
56
65
61
53˚
67˚
60˚
146
13
127
145˚
5˚
30˚
№20
a
b
c
α
β
γ
7
15
17
17˚
118˚
45˚
39
55
49
44˚
76˚
60˚
263
143
133
81˚
69˚
30˚
№27
a
b
c
α
β
γ
22
15
13
58˚
92˚
30˚
74
11
91
24˚
6˚
150˚
119
20
101
124˚
11˚
45˚
№21
a
b
c
α
β
γ
7
15
13
28
92˚
60˚
97
17
73
138˚
12˚
30˚
119
99
101
56˚
79˚
45˚
№28
a
b
c
α
Β
γ
17
12
13
68˚
67˚
45˚
19
99
91
10˚
110˚
60˚
193
25
157
142˚
8˚
30˚