2020 이유있는수학 개념SOS 수학하 답지 정답

(1)

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1

(1)× (2)◯ (3)× (4)◯ (5)◯ (6)× (7)◯

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2

(1)1,2,3,4,5,6 (2)2,3,5,7 (3)1,2,3,4,6,8,12,24 (4)4,8,12,16,…

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3

(1)² (2)< (3)< (4)²

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4

(1)A={1,2,3,6} (2)A={2,4,6,8} (3)A={1,3,5,7,9,11,13,15,17,19} (4)A={4,5,6,7,8,9}

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5

(1)A={x|x는9의양의약수} (2)A={x|x는4의배수} (3)A={x|x는100보다작은3의배수}

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6

풀이참고

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7

(1)A={x|x는10의양의약수} (2)A={x|x는10이하의홀수} (3)A={x|x는20이하의4의배수}

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8

(1)유 (2)무 (3)유 (4)무

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9

(1)× (2)× (3)◯ (4)◯

0

10

(1)n(A)=6 (2)n(B)=6 (3)n(C)=9  (4)n(D)=1

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11

(1)1 (2)0 (3)3 (4)1

0

12

(1)AøB,BøA (2)B,A (3)A,B (4)AøB,BøA

0

13

(1), (2), (3)ø (4)ø (5),

0

14

(1)á,{0} (2)á,{a},{b},{a,b} (3)á,{b},{c},{d},{b,c},{b,d},{c,d}, {b,c,d} (4)á,{1},{5},{1,5} (5)á,{2},{3},{5},{7},{2,3},{2,5},{2,7}, {3,5},{3,7},{5,7},{2,3,5},{2,3,7}, {2,5,7},{3,5,7},{2,3,5,7}

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15

(1)² (2)< (3)ø (4),

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16

(1)× (2)× (3)◯ (4)× (5)×

0

17

(1)2 (2)-1 (3)0

0

18

(1)+ (2)= (3)= (4)= (5)= (6)+ (7)+

0

19

(1)a=1,b=3 (2)a=8,b=2 (3)a=10,b=3

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20

(1)2 (2)4 (3)3

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21

(1)4 (2)8 (3)8 (4)16 (5)8

Ⅰ 집합과 명제

집합의 뜻

과

표현

1

8쪽~17쪽

0

22

(1)á,{1},{2},{3},{1,2},{1,3},{2,3} (2)á,{a},{{a,b}} (3)á,{1},{3},{9},{1,3},{1,9},{3,9}

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23

(1)3 (2)15 (3)7 (4)63

0

24

(1)4 (2)2 (3)16 (4)4 (5)8

0

25

(1)4 (2)4 (3)8 (4)8 (5)16

0

26

(1)16 (2)8 (3)4

0

27

(1)4 (2)8 (3)16

0

28

(1)4 (2)8 (3)2

0

29

(1)8 (2)4 (3)2

0

30

④

0

31

③

0

32

③

0

33

-3ÉkÉ-2

0

34

-2

0

35

16

빠른 정답

0

36

(1)A;B={3,4},A'B={1,2,3,4,5,6} (2)A;B={2,4},A'B={1,2,3,4,7,8,9} (3)A;B={1,2},A'B={1,2,4,5,10} (4)A;B={8,16,24,32,…},  A'B={4,8,12,16,20,…}

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37

a=5,b=2

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38

{0,1,2,3}

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39

{2,5}

0

40

(1)× (2) (3)× (4)×

0

41

8

0

42

4

0

43

(1)A`={7,8},B`={1,2,3}  (2)A`={5,6,7},B`={1,7}

0

44

(1)A`={1,3,5,6,7},B`={2,3,5,7,8,9} (2)A`={1,4,6,8,9},B`={3,5,6,7,9}

0

45

(1)A-B={2, 5, 7}, B-A={6, 9}  (2)A-B={1, 5}, B-A={4, 6}

0

46

(1)A-B={2, 4}, B-A={6} (2)A-B={9, 18}, B-A={4, 12}

집합의 연산

2

20쪽~33쪽

(2)

빠른 정답

3

0

49

(1)á (2)A (3)U (4)á

0

50

(1)풀이참고,= (2)풀이참고,=,=

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51

(1) (2)× (3) (4)×

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52

(1)B` (2)B` (3)B` , B (4)A` , A`

0

53

(1)A (2)B (3)á (4)á (5)á (6)á (7)á

0

54

(1)A'B=B'A={1,2,3}  (2)A'B=B'A={2,4,6,8}  (3)A'B=B'A={1,2,3,4,8,9,27}

0

55

(1)A;B=B;A={4,6}  (2)A;B=B;A={3,5}  (3)A;B=B;A={3}

0

56

(1)풀이참고 (2)풀이참고 (3)=

0

57

(1){1,2,3,4,5,7,9} (2){1,2,3,4,5,7,9} (3)(A'B)'C=A'(B'C)

0

58

(1)풀이참고 (2)풀이참고 (3)=

0

59

(1){4,8} (2){4,8} (3)(A;B);C=A;(B;C)

0

60

(1)풀이참고 (2)풀이참고 (3)=

0

61

(1){1,2,3,4,5,7} (2){1,2,3,4,5,7} (3)A'(B;C)=(A'B);(A'C)

0

62

(1)풀이참고 (2)풀이참고 (3)=

0

63

(1){4,8} (2){4,8} (3)A;(B'C)=(A;B)'(A;C)

0

64

(1)풀이참고 (2)풀이참고 (3)=

0

65

(1){4} (2){4} (3)(A'B)` =A` ;B`

0

66

(1)풀이참고 (2)풀이참고 (3)=

0

67

(1){1,3,4} (2){1,3,4} (3)(A;B)` =A` 'B`

0

68

(1)A` ;B (2)A` 'B (3)A;B` (4)A'B` 

(5)A;B (6)A'B

0

69

(1){7, 8} (2){3, 4, 5, 6, 7, 8} (3){2}

(4){2, 3, 4, 5, 6}

0

70

(1)㉣,㉡ (2)㉣,㉢ (3)㉡,㉠,㉡ (4)㉢,㉣

0

71

(1)A (2)á (3)A` 'B (4)A (5)A;B

0

72

(1)A,B (2)A,B (3)B,A

0

73

(1)4 (2)9 (3)4 (4)8 (5)23

0

74

(1)6 (2)9 (3)11 (4)4

0

77

(1)10 (2)10 (3)12 (4)12

0

78

(1)24 (2)27

0

79

(1)3 (2)5

0

80

17

0

81

13

0

82

(1)24 (2)6

0

83

③

0

84

③

0

85

⑤

0

86

④

0

87

③

0

88

③

0

89

9

0

90

(1)× (2) (3) (4) (5) (6) (7)× (8)×

0

91

(1)명제,참 (2)조건 (3)명제,거짓 (4)조건 (5)명제,거짓 (6)명제,거짓 (7)조건 (8)명제,참

0

92

(1)참,참,거짓,거짓,참,거짓,거짓 (2)1,2,3,6 (3)P={1,2,3,6}

0

93

(1)P={1,2,3,4} (2)P={1,2,3,4,5} (3)P={2,3,5,7} (4)P={4,8} (5)P={2} (6)P={3} (7)P={1,5}

0

94

(1){3,4,5,6,7,8,9,10} (2){1,2,3,4,5} (3){2,3,4,5,7}

0

95

(1){3,4} (2){1,2} (3){6}

0

96

(1)2는소수가아니다. (2)정사각형은직사각형이아니다. (3)2+3+5 (4)15는실수가아니다. (5)4는2의배수가아니다. (6)2²{1,2} (7)0<á

0

97

(1)x는짝수가아니다. (2)x¾1 (3)x+0 (4)x+2그리고x+3 (5)1Éx<3 (6)x=0또는x=2 (7)xÉ1또는x¾5

명제

3

38쪽~60쪽 YBM고등 2학기 빠답-재.indd 3 2017-12-21 오후 3:03:10

(3)

빠른 정답

0

98

(1) 거짓, 4는 홀수가 아니다., 참 (2) 참, 12 는 무리수가 아니다., 거짓 (3) 거짓, 5는 10의 배수가 아니다., 참 (4) 참, 3+4+7, 거짓 (5) 참, 정삼각형은 이등변삼각형이 아니다., 거짓 (6) 거짓, 3+12É15, 참

0

99

(1) {1, 2} (2) {-2, -1, 1} (3) {-2, -1} (4) {-1, 2}

100

(1) 가정 : x는 4의 배수이다., 결론 : x는 2의 배수이다. (2) 가정 : x=2이다., 결론 : xÛ`=4이다. (3) 가정 : a=0 또는 b=0이다., 결론 : ab=0이다. (4) 가정 : x가 10 이하의 소수이다., 결론 : x는 홀수이다. (5) 가정 : △ABC에서 ∠A=∠B이다., 결론 : △ABC는 이등변삼각형이다.

101

(1) 참 (2) 거짓 (3) 거짓 (4) 참 (5) 참

102

(1) 참 (2) 거짓 (3) 참 (4) 거짓 (5) 참 (6) 거짓

103

(1) 참 (2) 참 (3) 거짓 (4) 거짓 (5) 참

104

(1) 참, 참, 거짓, 거짓, 참, 거짓, 거짓, 거짓 (2) ① 참 ② 거짓 ③ 거짓 (3) ① 참 ② 참 ③ 거짓

105

(1) 거짓 (2) 참 (3) 참 (4) 거짓

106

(1) 거짓 (2) 참 (3) 참 (4) 거짓

107

(1) 모든 자연수 x에 대하여 x≥1이다. (참) (2) 어떤 실수 x에 대하여 3xÛ`+2É0이다. (거짓) (3) 모든 소수는 짝수가 아니다. (거짓) (4) 어떤 실수 x에 대하여 xÛ`+x+1É0이다. (거짓) (5) 모든 실수 x에 대하여 -2<xÉ1이다. (거짓)

108

(1) 역 (2) 대우 (3) 대우 (4) 역 (5) 역 (6) 역 (7) 대우 (8) 역

109

풀이 참고

110

(1) (ㅂ) (2) (ㄴ) (3) (ㅇ) (4) (ㅁ) (5) (ㄹ) (6) (ㄱ)

111

(1) ×, ◯, × (2) ◯, ×, ◯ (3) ◯, ×, ◯ (4) ◯, ◯, ×

112

(1) 참, 거짓, 충분 (2) 거짓, 참, 필요 (3) 참, 참, 필요충분 (4) 참, 거짓, 충분 (5) 참, 거짓, 충분 (6) 참, 참, 필요충분

113

(1) ① {10, 20, 30, ⋯} ② {5, 10, 15, ⋯} ③ ,, 충분 (2) ① {x|0ÉxÉ3} ② {x|1ÉxÉ2} ③ ., 필요 (3) ① {-1, 1} ② {-1, 1} ③ =, 필요충분 (4) ① {2, 3} ② {2, 3} ③ =, 필요충분 (5) ① {(x, y)|x=y} ② {(x, y)|x=y 또는 x=-y} ③ ,, 충분 (6) ① {-1, 7} ② {-1} ③ ., 필요 (7) ① {x|x>2} ② {x|2<xÉ3} ③ ., 필요

114

(1) 4 (2) -2 (3) -13 (4) 4 (5) 1 (6) 2

115

(1) 5 (2) 1 (3) 4 (4) -1 (5) 0 (6) 5 (7) 2

116

(1) (가) 홀수 (나) 홀수 (다) 2k-1 (라) 홀수 (2) (가) 홀수 (나) 홀수 (다) 2m+1 (라) 홀수

117

(1) (가) 짝수 (나) 2k (다) 짝수 (라) 서로소 (2) (가) 배수 (나) 3k (다) 배수 (라) 서로소

118

(1) A¾B (2) A¾B (3) AÉB

119

(1) A>B (2) A>B (3) A>B (4) A<B

120

(1)  (2) × (3)  (4) × (5)  (6)  (7) ×

121

(1) ;4#;bÛ`, ¾, ¾, ¾, ¾ (2) 2ab, ¾, ¾ (3) 2a-b, ¾, ¾, ¾ (4) ¾, ¾, ¾, ¾, ¾ (5) >, >, >, >, >

122

(1) 8 (2) 6 (3) 2

123

(1) 4 (2) 18 (3) 9

124

(1) 4 (2) 12 (3) 10

125

(1) 9 (2) 8 (3) 27

126

(1) 15 (2) -5 (3) 21123

127

①

128

④

129

{3, 9}

130

④

131

④

132

2

133

③

134

②

135

①

136

④

137

①

138

4

139

(가) 홀수 (나) 짝수 (다) 홀수 (라) 짝수

140

(가) 유리수 (나) 유리수 (다) 유리수 (라) 무리수

141

④

142

③

143

②

144

②

(4)

빠른 정답

5

00

1

풀이참고

00

2

(1)× (2) (3) (4)× (5) (6)×

00

3

(1)함수이다.,정의역:{1,2,3},공역:{1,2}, 치역:{1,2} (2)함수가아니다. (3)함수가아니다. (4)함수이다.,정의역:{1,2,3},공역:{a,b,c,d}, 치역:{b,d}

00

4

(1)정의역:{x|x는모든실수}, 치역:{y|y는모든실수} (2)정의역:{x|x는모든실수},  치역:{y|y¾0} (3)정의역:{x|x+0인실수}, 치역:{y|y+0인실수} (4)정의역:{x|x는모든실수},  치역:{y|y는모든실수}

00

5

(1)1 (2)-313 (3)-3+312 (4)6+313

00

6

(1)4 (2)7 (3)9

00

7

(1)f(x)=4x+9 (2)f(x)=xÛ`-4x+3  (3)f(x)=3x-2 (4)f(x)=9xÛ`-3x

00

8

(1)-1 (2)-2 (3)45 (4)4

00

9

(1)1 (2)9 (3)81

0

10

(1)0 (2)3 (3)30

0

11

(1)서로같은함수가아니다. (2)서로같은함수가아니다. (3)서로같은함수이다. (4)서로같은함수이다. (5)서로같은함수이다.

0

12

(1)a=3,b=0 (2)a=1,b=2 (3)a=1,b=1

0

13

풀이참고

0

14

(1)◯ (2)× (3)◯ (4)× (5)◯

0

15

(1)일대일대응이다. (2)일대일대응이아니다. (3)일대일대응이아니다. (4)일대일대응이다.

0

16

(1)풀이참고,◯ (2)풀이참고,× (3)풀이참고,×

0

17

(1)a<0 (2)a<1 (3)a<1 (4)a>-3

0

18

(1)-14 (2)7 (3)-5

0

19

(1)a=;3&;,b=;3!; (2)a=-;3&;,b=;3*;

함수

1

64쪽~74쪽

0

22

_{(1)3 (2)7}

0

23

(1)64개 (2)24개

0

24

(1)27개 (2)6개 (3)6개

0

25

(ㄷ),(ㄹ),(ㅂ)

0

26

9

0

27

-;4(;

₀

₂₈

②

0

29

③

0

30

③

0

31

②

0

32

a<2

0

33

②

0

34

10

0

35

④

0

36

(1)①7 ②8 ③6 (2)①8 ②7 ③6 ④5

0

37

(1)2xÛ`+1 (2)-6x-1 (3)3x+5 (4)4xÛ`-14x+10 (5)6xÛ`+5 (6)xÛ`-10x+23

0

38

(1)-3 (2)-5 (3)-9 (4)-4 (5)-3 (6)0 (7)-3

0

39

(1)3 (2)4

0

40

(1)14 (2)1

0

41

(1)2_{x+1 (2)2x+2 (3)f½g+g½f}

0

42

(1)4xÛ`-8x+4 (2)4xÛ`-8x+4 (3)(_{h½g)½f=h½(g½f)}

0

43

(1)2 (2);2!; (3)0 (4)-;2!;

0

44

(1)h(x)=2x+3 (2)h(x)=2x-10 (3)h(x)=;2#;x+;2#; (4)h(x)=3x-1 (5)h(x)=2x-4

0

45

(1)h(x)=2x+5 (2)h(x)=2x-8 (3)h(x)=;2#;x+;2%; (4)h(x)=3x-5 (5)h(x)=2x-11

0

46

(1)①fÛ`(1)=2,fÜ`(1)=1 ②1 ③2  (2)①fÛ`(2)=3,fÝ`(2)=2 ②2 ③4

0

47

(1)①fÛ`(x)=x+6 ②f Ü`(x)=x+9  ③f Ç`(x)=x+3n ④65 (2)①fÛ`(x)=2Û`x ②f Ü`(x)=2Ü`x ③f Ç`(x)=2Ç`x ④2¡`

0

48

(1)풀이참고 (2)3 (3)4 (4)1 (5)2

합성함수

와

역함수

2

77쪽~90쪽 YBM고등 2학기 빠답-재.indd 5 2017-12-21 오후 3:03:12

(5)

0

78

(1)분수 (2)다항 (3)다항 (4)분수

0

79

(1)2xyÛ`_5a (2)xÛ`+2x_x-2 (3)x-2_x-4

0

80

(1) 2aÛ`y 3abxÛ`yÛ`, 3bx 3abxÛ`yÛ` (2) (x-2)Û` (x+1)(x-1)(x-2), (x+1)(x-3) (x+1)(x-1)(x-2)

0

81

(1) 2x (x-y)(x+y) (2) 1 x+y (3) -3x-1 x+1 (4) xÛ`+yÛ` (x-y)(x+y)

(5) -1 x+1

0

82

(1);6{; (2) x (x-1)Û` (3)(x-2)Û`(x-3)Û` (4) x-3 x-1 (5) x-2 x(x+1)

0

83

(1)a=2,b=3 (2)a=-3,b=6  (3)a=2,b=-1

0

84

(1) 2 (x+1)(x+3) (2) 6 x(x+6)

0

85

(1)x+1 (2);[!; (3)-2x

0

86

(1)191 60 (2)-8 (3);;Á6£;; (4) 4750

0

87

(1);3&; (2);1!3@; (3)-;9%; (4);2!6!;

0

88

(1)다항 (2)분수 (3)다항 (4)분수

0

89

(1){x|x+-3인실수} (2)[x|x+;3!;인실수] (3){x|x+-1,x+1인실수}  (4){x|모든실수}

0

90

풀이참고

0

91

(1)y= 1 x-2+1 (2)y=-2 x+2-1 (3)y= 3 x-3-2 (4)y=-4 x+1

0

92

(1)p=0,q=5 (2)p=0,q=2 (3)p=3,q=0  (4)p=-1,q=0 (5)p=-1,q=-3  (6)p=-5,q=1

0

93

(1)①풀이참고 ②x=0,y=-1 ③{x|x+0인실수} ④{y|y+-1인실수} (2)①풀이참고 ②x=2,y=0  ③{x|x+2인실수} ④{y|y+0인실수} (3)①풀이참고 ②x=-2,y=-1 ③{x|x+-2인실수} ④{y|y+-1인실수} (4)①풀이참고 ②x=1,y=1  ③{x|x+1인실수} ④{y|y+1인실수}

유리함수

3

93쪽~109쪽

빠른 정답

0

49

(1)1 (2)2 (3)1 (4)3

0

50

(1)0 (2)-9

0

51

(1)4 (2)-1 (3);4#;

0

52

(1)a=;2!;,b=2 (2)a=-1,b=3  (3)a=5,b=-2

0

53

(1);3$; (2)34

0

54

(1)4 (2)5 (3)-11

0

55

(1)a=2,b=-1 (2);2!; (3);2%;

0

56

(1)a=2,b=-1 (2)3 (3)3 (4)-1

0

57

(1)5 (2)1 (3)a<1

0

58

(1)a=2,b=5 (2)a=-1,b=7  (3)a=-2,b=4 (4)a=-4,b=-1

0

59

(1)1 (2);2&;

0

60

(1)y=;2!;x+;2!; (2)y=-2x+4 (3)y=-2x+;2!; (4)y=!%3x+#3(x¾-1)

0

61

(1)1 (2);3&; (3)4

0

62

(1)1 (2)-7 (3)4 (4)2

0

63

(1)a (2)c (3)d (4)e (5)e

0

64

(1)(2,2) (2){-;2(;,-;2(;} (3)(7,7)

0

65

(1)a=-2,b=7 (2)a=2,b=-14 (3)a=;3@;,b=-;3!;

0

66

12

0

67

④

0

68

④

0

69

③

0

70

-;;ª3£;;

0

71

3000

0

72

④

0

73

②

0

74

②

0

75

⑤

0

76

-5

0

77

16

(6)

빠른 정답

7

122

(1)무 (2)유 (3)유 (4)무

123

(1)x¾-2 (2)x<4 (3)-2ÉxÉ1 (4)-2<xÉ3

124

(1)15x+31-13x (2)-1-15x+1 (3)15x+2+1x  (4)15x+1+15x-1 (5)152+x+152-x

125

(1)xÛ`-4 (2)_{x-y (3)21x (4)2x (5)-x}21x

126

(1)-413 (2)2+16 (3)-2-212

127

(1)무 (2)유 (3)무 (4)무

128

(1){x|x¾-2} (2){x|x는모든실수} (3)[x|xÉ;2!;] (4){x|xÉ-2또는x¾3}

129

(1)풀이참고,정의역:{x|x¾0},치역:{y|y¾0} (2)풀이참고,정의역:{x|xÉ0},치역:{y|y¾0} (3)풀이참고,정의역:{x|x¾0},치역:{y|yÉ0} (4)풀이참고,정의역:{x|xÉ0},치역:{y|yÉ0}

130

(1)풀이참고,y=-15-2x (2)풀이참고,y=142x (3)풀이참고,y=-142x

131

(1)풀이참고,y=-143x (2)풀이참고,y=15-3x  (3)풀이참고,y=-15-3x

132

(1)y=153x+23+2 (2)y=15-2x4+22-3  (3)y=-155x+3120-1 (4)y=-15-x4+32+3

133

(1)p=0,q=-3 (2)p=5,q=0 (3)p=2,q=0 (4)p=-2,q=1 (5)p=-;2!;,q=4

134

(1)①풀이참고 ②{x|xÉ2} ③{y|y¾0}

무리함수

4

112쪽~124쪽

108

(1)1 (2)2 (3)-3

109

(1)2 (2);2!; (3)- 1 3002 (4);4!;

110

①

111

④

112

11

113

②

114

③

115

③

116

③

117

1

118

5

119

②

120

③

121

g(x)= -x+_2x-12

0

95

(1)-5 (2)2

0

96

(1)◯ (2)× (3)◯ (4)× (5)×

0

97

(1)× (2)◯ (3)× (4)◯ (5)◯

0

98

(1)y=- 7 x+2+2 (2)y= 1 x+1+4 (3)y= 7 x+3-2 (4)y= 1 x-2-1 (5)y=- 2 3x+3+2

0

99

(1)①풀이참고 ②x=2,y=1  ③{x|x+2인실수} ④{y|y+1인실수} (2)①풀이참고 ②x=-3,y=2 ③{x|x+-3인실수} ④{y|y+2인실수} (3)①풀이참고 ②x=-1,y=3 ③{x|x+-1인실수} ④{y|y+3인실수} (4)①풀이참고 ②x=3,y=2 ③{x|x+3인실수} ④{y|y+2인실수}

100

(1)◯ (2)× (3)× (4)◯

101

(1)× (2)◯ (3)× (4)◯

102

(1)p=3,q=2,k=4  (2)p=-2,q=1,k=4  (3)p=-2,q=1,k=-2

103

(1)a=-1,b=0,c=2  (2)a=2,b=-10,c=-3  (3)a=2,b=-3,c=1  (4)a=3,b=-2,c=-1

104

(1)a=2,b=4,c=3  (2)a=1,b=-4,c=-2  (3)a=3,b=9,c=5

105

(1)최댓값:1,최솟값:-1 (2)최댓값:9,최솟값:5 (3)최댓값:;3!;,최솟값:-3 (4)최댓값:5,최솟값:;;Á5£;; (5)최댓값:1,최솟값:-;3&; (6)최댓값:;3!;,최솟값:-1

106

(1)y= -x-1 x-2 (2)y= -2x+3 x+1 (3)y= -3x-4 x-2 YBM고등 2학기 빠답-재.indd 7 2017-12-21 오후 3:03:15

(7)

빠른 정답

(2)①풀이참고 ②{x|xÉ0} ③{y|yÉ-1} (3)①풀이참고 ②{x|x¾-2} ③{y|yÉ1}

135

(1)①풀이참고 ②{x|x¾1} ③{y|y¾-2} (2)①풀이참고 ②[x|x¾;2!;] ③{y|y¾-1} (3)①풀이참고 ②{x|xÉ1} ③{y|y¾3} (4)①풀이참고 ②{x|x¾3} ③{y|yÉ2} (5)①풀이참고 ②{x|xÉ2} ③{y|yÉ1} (6)①풀이참고 ②[x|xÉ;2%;] ③{y|y¾-2}

136

(1)× (2)◯ (3)◯ (4)×

137

(1)× (2)× (3)◯ (4)◯

138

(1)a=-2,b=4,c=-1 (2)a=-;3$;,b=;3$;,c=2 (3)a=2,b=-5,c=2 (4)a=-1,b=1,c=-2 (5)a=3,b=-2,c=-1

139

(1)최댓값:5,최솟값:3 (2)최댓값:-1,최솟값:-3

140

(1)13 (2)1 (3)7 (4)2

141

(1)①k>-;4#; ②k=-;4#;또는k<-1 ③-1Ék<-;4#; (2)①k>;4%; ②k=;4%;또는k<1 ③1Ék<;4%;

142

(1)y=(x-2)Û`+1,정의역:{x|x¾2} (2)y=(x-4)Û`+3,정의역:{x|xÉ4}

143

(1)12 (2)212 (3)312

144

(1);5*; (2)66 (3)5

145

④

146

13-12

147

②

148

③

149

⑤

150

-3

151

③

152

3Ék<;2&;

153

-;2%;

154

30

155

(2,2)

156

⑤

Ⅲ 경우의 수

00

1

(1)2 (2)6 (3)2 (4)3 (5)3

00

2

(1)10 (2)12 (3)8

00

3

(1)9 (2)13

00

4

(1)4 (2)6 (3)5

00

5

(1)8 (2)8 (3)14

00

6

(1)15 (2)10 (3)6

00

7

32

00

8

(1)21 (2)20 (3)6 (4)24 (5)60

00

9

(1)9 (2)8

0

10

(1)10 (2)12 (3)30

0

11

(1)8 (2)8 (3)18 (4)24 (5)6 (6)12

0

12

(1)12 (2)9 (3)12 (4)16

0

13

(1)4 (2)6 (3)4

0

14

(1)4 (2)4 (3)8 (4)12 (5)18

0

15

(1)17 (2)11 (3)71

0

16

(1)15 (2)11 (3)24

0

17

(1)4 (2)6 (3)8

0

18

(1)9 (2)16 (3)27

0

19

16

0

20

(1)12 (2)4

0

21

(1)30 (2)18

0

22

(1)8 (2)9 (3)17 (4)289

0

23

(1)48 (2)108 (3)48

0

24

④

0

25

④

0

26

②

0

27

⑤

0

28

11

0

29

1280

경우의 수

1

127쪽~135쪽

(8)

빠른 정답

9

0

30

(1)1 (2)120 (3)120 (4)7 (5)56

0

31

(1)5 (2)8 (3)10 (4)5

0

32

(1)2 (2)2 (3)6

0

33

(1)6 (2)3또는4 (3)4 (4)9 (5)6

0

34

(1)°Pª (2)¤P£ (3)¢P¢ (4)Á¼P° (5)Á¼P£

0

35

(1)24 (2)12 (3)12

0

36

(1)48 (2)18 (3)12

0

37

(1)720 (2)576 (3)288

0

38

(1)17280 (2)8640 (3)1728

0

39

(1)1440 (2)144

0

40

(1)72 (2)12

0

41

(1)20 (2)20 (3)4

0

42

(1)24 (2)144

0

43

52

0

44

444

0

45

108

0

46

36000

0

47

(1)23514 (2)34521

0

48

(1)14번째 (2)TAMH

0

49

(1)10 (2)1 (3)4 (4)21 (5)1

0

50

(1)5 (2)6 (3)11

0

51

(1)6 (2)7 (3)7

0

52

(1)5 (2)9 (3)4

0

53

(1)6 (2)5또는9 (3)3또는5

0

54

(1)4 (2)5 (3)8 (4)5

0

55

(1)Á¼Cª (2)¥C° (3)°C£ (4)Á£Cª (5)¢C£´¢CÁ  (6)Á_¼C£´°Cª

0

56

(1)56 (2)21

0

57

(1)330 (2)120

0

58

(1)120 (2)45 (3)90

0

59

(1)924 (2)495

0

60

(1)185 (2)175

0

61

(1)24 (2)35

0

62

(1)6720 (2)4200 (3)960

0

63

(1)67200 (2)5040

0

64

(1)2160 (2)1080 (3)720

0

65

(1)6 (2)36

0

66

(1)35 (2)90 (3)209

0

67

(1)5 (2)12 (3)20

0

68

(1)6 (2)21 (3)45

0

71

46

0

72

(1)60 (2)90

0

73

(1)30 (2)70

0

74

③

0

75

1440

0

76

1440

0

77

④

0

78

②

0

79

54번째

0

80

7

0

81

①

0

82

8

0

83

⑤

0

84

180

0

85

190

0

86

22 YBM고등 2학기 빠답-재.indd 9 2017-12-21 오후 3:03:16