1989198819851983
19873)3972(19861992)(1986
A
22
´´´
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=
.
21
4
:
3
2
25,15)(28,57:6,84
433,81)(34,06
1,2)(0,82,5
0.1)(0,2:3
:26C +
-
´-
+
+´
-
=
0,125.:
4
1
1)1,8333 0,25:
5
1
136:(1,2
12,8
1
9,8999 6,5:6,35)(7
D
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.
3
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D =
131
4 : 0, 003 0,3 1
1
2202
: 62 17,81: 0, 0137 1301.
1131
20
32,654:1,882
20 5 25 8
x
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ç÷ ç ÷
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ç÷ç÷
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13 2 5 1 1
:2 1
15, 2 0, 25 48, 51:14,7
44 11 66 2 5
.
1
3, 2 0,8 5 3, 25
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y
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a
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100
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1
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12
u
37
u
38
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39
u
2
1
u
u
3
2
u
u
4
3
u
u
5
4
u
u
6
5
u
u
12
u
37
u
38
u
39
u
2
1
u
u
3
2
u
u
4
3
u
u
5
4
u
u
6
5
u
u
1
4
1
n
n
n
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x
x
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1
x
100
x
100
x
1n
x
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1
x
100
x
100
x
131
4 : 0, 003 0,3 1
1
2202
: 62 17,81: 0,0137 1301.
1131
20
32,654:1,882
20 5 25 8
x
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a
m
a
m
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a
m
a
m
a
m
1) Lập một quy
α
2
sin
2
S
S
HAK
ABCD
=
.5cm3079,66332)sin(2absin
2
1
S
22
»-= αα
5
12
p
1
4
1
n
n
n
x
x
x
+
+
=
+
1n
x
+
1
x
100
x
1n
x
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1
x
100
x
100
x
100
x
1
3
1
7
1
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x
34 4 1
0,5 1 1, 25 1,8 : 3
75 7 2
3
5, 2 : 2,5
313
4
15, 2 3,15 : 2 4 1,5 0,8
424
x
éù
æö æö
-´ - ´ +
ç÷ ç÷
êú
æö
èø èø
ëû
=-
ç÷
æö
èø
´- ´+´
ç÷
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22
324
(0,15 0,35 ) : (3 4,2)
1
435
3:(1,23,15).
23 12
2
12, 5 : (0,5 0,3 0, 75) :
75 17
x
æö
éù
++´+´
ç÷
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=+
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-´ - ´
êú
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x
x
5
3.
4
2
5
2
4
2
5
2
3
+
+
+
+
+
1
7.
1
3
1
3
1
3
4
+
+
+
+
.
142
1027
B,
382
1761
A ==
332
333
cos .(1 sin ) tan
(cos sin ).cot
aaa
aaa
++
+
2323
33 4
sin (1 cos ) cos (1 sin )
(1 tan )(1 cot ) 1 cos
aaaa
aa a
++ +
++ +
2323
33
tan (1 cos ) cot (1 sin )
(sin cos )(sin cos )
aaaa
aaaa
++ +
++
1n
x
+
2
2
45
1
n
n
x
x
+
+
1
x
n
x
100
x
100
x
3
1
S
S
ABC
ABD
=
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20
1
2
1
3
1
4
5
+
+
+
2
1
5
1
6
1
7
8
+
+
+
2003
3
2
5
4
7
6
8
+
+
+
329 1
1
1051
3
1
5
1
a
b
=
+
+
+
9.b7,a,
137
104156
C,
1807
700
B,
157
1360
A =====
x
y
22
1,125
2, 456.
x
y
xy
ì
=
ï
í
ï
-=
î
x
y
x
y
Baøi 2. 1) Neáu
77
6103
x =
n
n
20203 21
n
an=+
2
1
1tan
2
a
æö
+
ç÷
èø
tan cot
22
aa
æö
+
ç÷
èø
1cot
2
a
æö
+
ç÷
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2tan cot
22
aa
æö
++
ç÷
èø
2tan cot
22
aa
p
æö
++-
ç÷
èø
x
y
4
11
14
11
23
11
32
42
xx
+=
++
++
++
1
11
12
11
34
56
yy
+=
++
++
.;
29
24
1459
12556
=-= yx
x
11 1ab x ab x+-=+
a
b
a
b
x
a
b
2
2
441
4
ba
b
-+
x
ch sau:
M = 2222255555 x 2222266666, N = 20032003 x 20042004
Ñaùp soá: M=4
51,587%
S
S
ABCD
DEC
»
Δ
43,86%
S
S
BDC
ABD
»
(5 7) (5 7)
27
nn
+
35 35
2
22
nn
æöæö
+-
+-
ç÷ç÷
ç÷ç÷
èøèø
13 31 34
:
24 73 75
73 23 53
.:
85 95 64
éù
æöæöæö
+-+
ç÷ç÷ç÷
êú
èøèøèø
ëû
éù
æöæöæö
++-
ç÷ç÷ç÷
êú
èøèøèø
ëû
20 30 2030
30 30
sin 35 cos 20 15 40 25
3
sin 42 : 0,5 20
4
tg tg
cotg
-
11 1
4
32 1
23 1
53 1
45 1
74
2
67
89
x
æö
ç÷
ç÷
ç÷
=++
ç÷
++ +
ç÷
++ +
ç÷
èø
++
.
16714
301
=x
()
3
2
3
2
éù
êú
ëû
()
2
3
2
3
éù
êú
ëû
3
2
3
2
2
3
2
3
(3 2) (3 2)
22
nn
+
20 20
230 20
12,35 tan 30 25'.sin 23 30'
.
3,06 .cot 15 45 '.cos 35 20 '
A =
22
22 22
55 25
.
55
xy xy x y
B
xxyxxyxy
æö
+
=+
ç÷
-+ +
èø
22
222 2
12144
(2 ) 4 (2 ) 16
xxyy
C
xy x y xy x
éù
++
=++´
êú
+
ëû
x
y
(10 3 ) (10 3 )
23
nn
+
54756 15
n
an=+
n
n
13
22
x +
27
52
x +
20 47
;
918
æö
ç÷
èø
3
5;
2
æö
ç÷
èø
125
36
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