1. 1
1
(10 )
1.1 (2 )
1.2 (2 )
1.3 (2 )
1.4 (4 )
6
4
1.1
1.2 1.3
“ ” “ ” “ ”
( )
ABC
ABC
1.4

2. 2
1.1 (2 )
1.
1
2
3
4
1
1)
2) 5
3)
4)
2. 2, 3 4
1 2
1) 7.00 .
2) 1)
3)
4)
3.
2

3. 3
1 5
2
7.00 .
3
4
4. “ ”
5. 1.1 2
2n – 1 n
4
1.2 (2 )
1.
2.
3.
1.
2 1 … … 2
2. P Q
2
1) P Q
2) P Q
3

4. 4
1.3 (2 )
1.
2. “ ”
3. “ ” 2
1. P Q Q P
2.
3. “ ”
4. “ ”
2
P Q
Q P P Q
P Q P Q
Q P
1.4 (4 )
1.
2.
1.
1)
2)
3)
4

5. 5
2.
“ ” 4 5
3.
1)
2)
P Q
P
Q
2 1. P Q
2. P
Q
ABC
ABC)m( = ACB)m( = BAC)m(
4.
5. “ ”
5

6. 6
“ ”
1
2
1.
2.
3. 2n n
3
1) 1 2 3 4 5 4 3 2 1
2) 4 4 4 4 4 2 2 2 2 2
3) 31 ( 49 ) + 5
4) 1111 5 + ( 12349 )
4
6

7. 7
1.1
1.
1)
2)
3)
4)
5)
6)
2. 2n + 1 n
3.
3 4 5 6 … 20 … n
0 1 2 3 … 17 … n – 3
1 2 3 4 … 18 … n – 2
4.
1 2 3 4 … 10 … n
1 3 5 7 … 19 … 2n – 1
1 4 9 16 … 100 … n2
5.
AD BC
A
CD
B
7

8. 8
“ … …”
1.
1) ABC ABC
2) ABCD ABCD
3) n 2n
4) a b a + b = b + a
2.
1)
2)
3) 180
4)
3.
1)
2)
4.
1)
2)
“ ”
1.
1) a = -2 a2
= 4
2)
ABC
3) ABC AB = AC = 3
BC = 2
4) ABCD
5) a = 4 b = 9 . . . 4
9 1
8

9. 9
2.
1) a3
= -1 a = -1
2)
1) x y = 1 x y 1
2)
“ ”
1.
2.
1) ABCD ABCD
ABCD ABCD
2) a b a b = 0
a b = 0 a b 0
3.
1) a > b a = b + c ( a, b c )
2) a = b + c a > b ( a, b c )
4.
1) 2
2)
3) a ao
= 1
ao
= 1 a
9

10. 10
1.4
1.
2n + 1 ( n )
2 (2n + 1)
2n + 1
2 (2n + 1)
2. CAE FAB
B)Am(E = F)Am(C
CAE FAB ( )
C)Am(E = F)Am(B = 90o
C)Am(E = B)Am(E + C)Am(B
F)Am(B = C)Am(B + F)Am(C
B)Am(E + C)Am(B = C)Am(B + F)Am(C ( )
C)Am(B
B)Am(E = F)Am(C ( )
3. C D AB E)Cm(A = F)Dm(B
A F
E
B C
A C D B
FE
10

11. 11
E)Cm(B = F)Dm(A
CE AB C
E)Cm(A + E)Cm(B = 180o
(
)
DF AB D
F)Dm(B + F)Dm(A = 180o
E)Cm(A + E)Cm(B = F)Dm(B + F)Dm(A ( )
E)Cm(A = F)Dm(B ( )
E)Cm(A F)Dm(B
E)Cm(B = F)Dm(A ( )
4. ABC BC D BC = CD
ACD
ABC ( )
AC = BC ( )
BC = CD ( )
AC = CD ( )
ACD ( )
B C D
A
11

12. 12
5.
1) “3 ”
3
11 11 3
3
2) “ ”
ABC CD BCA
AB E
E)Cm(A = E)Cm(B
AE EB
“ ”
1
: AB AC = BD BC = AD
2
: 180
C
A BE
D
12

13. 13
“ ”
1. BE CBA EB B F
CBA CBA
F)Bm(A = F)Bm(C
F)Bm(A + E)Bm(A = 180o
(
)
F)Bm(C + E)Bm(C = 180o
F)Bm(A + E)Bm(A = F)Bm(C + E)Bm(C ( )
BE CBA E)Bm(A = E)Bm(C ( )
E)Bm(A E)Bm(C
F)Bm(A = F)Bm(C
CBA
CBA
E
C
F
A
B
13

14. 14
2. AB CD O OX BOD XO O Y
Y)Om(A = Y)Om(C
a, b, c d X)Om(D , X)Om(B , Y)Om(A Y)Om(C
CD XY
a=d( )
AB XY
b = c
OX BOD a = b ( )
c = d ( )
Y)Om(A = Y)Om(C
3. ABC AB E F AC BC
AE = BF
A B
E F
C
Y O
A
B
C
D
X
a
b
c
d
14

15. 15
D
C
A B
a b
c
d
CEF
CEF
ABC AB ( )
AC = BC ( )
AC = AE + EC
BC = BF + FC
AE + EC = BF + FC ( )
AE = BF ( )
AE BF
EC = FC ( )
CEF ( )
CEF
4. ABC DBC
D)Bm(C = C)Am(B + B)Cm(A
a, b, c d C)Am(B , C)Bm(A , B)Cm(A D)Bm(C
BC AD B ( )
b + d = 180o
a + b + c= 180o
b + d = a + b + c ( )
(
)
(
180o
)
15

16. 16
b
d = a + c ( )
D)Bm(C = C)Am(B + B)Cm(A
5. ABCD CBE , DCF , ADG BAH
ABCD
360
C)Bm(E + D)Cm(F + A)Dm(G + B)Am(H = 360o
1, 2, 3, 4, 5, 6, 7 8 CBA , DCB , ADC , BAD ,
CBE , DCF , ADG BAH
)1m( + )5m( = 180o
(
)
)2m( + )6m( = 180o
)3m( + )7m( = 180o
)4m( + )8m( = 180o
A B
C
E
F
G
H
D
1
2
3
4 5
6
7
8
16

17. 17
)1m( + )5m( + )2m( + )6m( + )3m( + )7m( + )4m( + )8m(
= 180 + 180 + 180 + 180 ( )
= 720o
)1m( + )2m( + )3m( + )4m( = 360o
( 360o
)
)5m( + )6m( + )7m( + )8m( = 720 – 360
= 360o
( )
C)Bm(E + D)Cm(F + A)Dm(G + B)Am(H = 360o
360
17