ข้อสอบโอเน็ตคณิตศาสตร์ ม.6 ปีการศึกษา 2558

,

v • .::: v .! 1'lHIT11fl 6 fll.lill'YfW1:i 2559

' <::1

ｾｈｬｬＮＡ＠ 'YI 1

"

.Ue Ｑｖｬｴｾｦｬ＠"'

1. A UC = B

2. (A n B) u C = <!>

3. AnB c B UC . 4. A - B c c

5. B - C c A'

!1'!;11 11.30 - 13.30 'W.

•

OJ cl.::i OJ cl 1'1-HtlTH'l 6 fl'll fll'Vft.! ti 2559

" •

§JVJPl - NIETS

｡ｭｵｵｮ｡｡｡ｵｭｯｭｳｩｩｮｩｪｬｈｈｏｾｬｯ＠Ｈ｡ｯｮｭｳｕｈｬｾｵＩ＠. Na'Jonallnstltute ol Educational Tutlng Service (Nllle OrganiZation) ｮｾｮ＠ 11.30-13.30 '1-!.

. 2. flTt'i't!VI1'11 a , b , c ｈｾｾ＠ d ru't! 111'1-!1'1-! ＱＱｾ＠ｾ＠ 1VI9

., ｾ＠ 1 I ｾｴｬＭ］Ａ＠ 11 "> "ll el VI VI el '1-!! '1-! 1l'H

ｾ＠

a<b ｾ＠ 1 1

1. 01 ｈｾＱ＠ > --a b

2. ｾ＠

a<b ｾ＠ a2 < b2 01 ｈｾＱ＠

ｾ＠

a<b c<d ｾ＠

ac < bd 3. 01 ｈｾｾ＠ｈｾＱ＠

4. ｾＨ｡Ｋ＠ b)2

- I a+ b I

5. I a+ b I - Ia I+ I bl

3. 0 "' ｾＸＴ＠ + 1813 il fi wrh 1 VI ＱｬｬＧｴＡＱＧＱＭＡＱｬＧｊｾ＠

1. 4 + 313

2. 5 + 213 3. 6 + 213 4. 9 + 13 5. 10 + 13

l'lih 4 '

OJ ﾷｾ＠ OJ r! 1'l-Utll1'tl 6 fnJill'Yfl-Ui 2559 11.30-13.30 'U. "

4.

1. 10 2. - 10

3. 20 4. - 15

5. - 40

5

5. -10 ｈｾｾ＠!II

135 ｈｾＱ＠

5 '

""""" x.(x. -1) u 11 ＱｭｬＧｴｦｩｴｾｾｦｬＧﾷｭｨｵＱｵｴｾＧｊＮｊＱｬＡＬｊ･Ｑｾｮｱｾ＠

i = 1

1. 11 2. 12

3. 13 4. 14

5. 15

••

QJ cl ..t QJ cl 1'UU1TH1 6 flllfll'W'Ufi 2559

" ｮｾｮ＠ 11.30 - 13.30 -u.

I J3 1 - --2 2

!II

x=1+J3 !II x - 3x

rrh n11rrh 1 \?1 6. til mn X

1. 1 + J3 1

2. (1 + J3 )2

1

3. ( 1 + J3 )-2

4. (1 + J3 ) - 1

3

5. ( 1 + J3 )-2

7. n n'i -u \?1 1 '11 A {x ElR I1x+11 < 2} I

B {xElR lx2- x = 0}

,j' el, \?) tl f) .. 1. A n B {0}

2. AUB B

3. B- A = ' <P

4. A - B = A

5. A' U B' = (1, ex:>)

••

·n 0£'£1 -0£'11 ｌｾｴＧｩ＠

9 li1M, ｾ＠

• (0 '0) ｾｾｩＱｌｈｌｴｴＭｴｾｩＱＮｌｈｩＱＱｽＧｩ＠J ｎｾｒＮｴｶｴｌｴｕ＠·s I I=> ｾ＠p l

b

ｾｾ＠1 ltUUltt X ｩＱｕＧｩＧｩｾｾ＠J ｎｾｒＮｴｶｴｬｴｾ＠'t I

X ｩＱｕＧｩＧｩｾｾｦｴｫ＠ｾＧｩＧｩ＠A ｩＱｕＧｩＧｩｾｾ＠J [email protected] '£

A ｩＱｕＧｩＧｩｾｾｦｴｴＮＮｾｈ＠X ｩＱｕＧｩＧｩｾｾ＠J [email protected] ·z

X i1U'i'i@t!'M,'ir@ J [email protected] '[

lb

I xI +x = (x)J ｕｴｬｾｌ｀ｒＮｴｬｭ＠l(j '6 ｾ＠ｾ＠ｾ＠

｀ｦｴｾＧｩｬｦｴＮｬｗｌｕｴＭｾｌｕｕｑ｀ｴＡｊｦｴｾ＠·s 0 ,., 0

"" l

ｾｾｩＱｌｕｴｴｕｕ｀ｩＱｾｦｴｫｾｉｊｦｴｾ＠'t

ｾｾｩＱｌｴｍＬｴｌｍＬｬ｀ｩＱｕｴｩｊｦｴｾ＠'£ ,., """"

｀ｦｴｾＧｩｬｦｴｾｲｬｌｕｴＭｾｌｕｕｑ｀ＺＺｩ［ｩＢｴｬｦｴ＠·z 0 ,., 0

l

ｾｾｩＱｌｴｍＬｴｌｍＬｬ｀ｩＱｾｦｴｫＺＺ［［ｍＬｌｦｴ＠'[

ｾｈｦｴｾｾｍＬＧｩｲｴｾｮｴｾｾｈｍＬＧｩｬｌｴｌｴ＠ｵｾｈｵ＠M,IT'ii"tn'i ｀ｾｾＧｩ｀ｒＮ＠ I-ｾ＠b 0 "" IP' ""I -II\ I b ｾ＠l "'

ｾｦｴＧｩ＠ｍｬｴｩｒＮｨｲｴｴＡｊｦｴｾｾＧｩＧｩ＠ｾｍｌｕＧｒＮｨｲｴＺＺ［［ｩＱｌｦｴ＠(£ 1=>1 II\ 1=>1=> I I=> I=>

ｾｦｴＧｩ＠ｍｌｕＧｒＮｨｲｴＺＺ［［ｾ＠ｩＱｙｕｬｴｾｾｩＱｬｴｍＬｴｌｍＬｬ｀ｩＱｕｌｴｩＱｙ＠(Z 1=>1 In "" ,., """" l

ｾｍｌｕＧｒＮｨｲｴＺＺ［［ｾ＠ｩＱｙｕｬｴ｀ｦｴｾＧｩｬｦｴｾｲｬｬｕｴＭｾｌｕｕｑ｀ｌｴｩＱｙ＠(I ):7 I=' 0 l"'b 0 J=r l l

b •

ｕＮｴＭｾｮｲＬｰ＠ｾｾｾｍＬＧｩｵ＠ｾｩＱｍＬｬｾ＠8

ＨｾＺｊｦｴｴｊＧｉ､Ｉｾｊｵｩｬｈｬｲ･ｵｯｴｬｲＮｎｬｐＳｬｏ［ｮｲｴＱｐｓｕｉｾＸｎ＠

(nl!tUnSLUOOC) OlROUDlAUUSlUOlUnceounnUII?

. -. -S.1.3fN

Wilt

"'

b

6SSZ !li"tMLU'ftU 9 ｌｴｴｬｾＧｩｩＢｴｴ＠t' ,., "" t' ,., l

ｽｾｾｌｵｾｾｵ＠PO ｌａ＾ｴｾﾻｴ＠

.... <I .,j .... <I 1'iU ｾｬＧｦｙｉ＠ 6 fJtf ill'Vfi-Ui 2 5 59 •

f,qVJfll .· - NIETS

｡ｭｵｵｮｯ｡ｯｵｭｯｭｳｦｩｭｴｬｩｩｈｏｾｬｦｩ＠ＨｯｯｮｭｳｵｈｬｾｵＩ＠National Institute of Educational Test!ng Service (PubliC Orgamut!On)

y

rnn 11.30 - 13.30 u.

----+-----------+----------------+X -4 0

1. a+b = 4

2. f(x) = 4)x + 2

3. f(-x) = 3.J4 x

4. f(x 2) = 2(x + 2)

5. [ f(x) ]2

= 4(x + 4}

•

' Q.l <ie:t QJ .! 1-uml'i'YI 6 fllJilll'I'Ufi 2559

11.

Q

91

til x+y

1. 2

3

2. 1

3.

4.

10

7

14

9

5. 2

91

91 1 Utl1

ｮｾ［ｮ＠ 11.30 -13.30 -u.

' ｦｬｬｾｬｱｖｾＢｕｾＮＺＮｊ＠ x2 + 2l ｲｲｨｮｵｲｲｨＱｖｾ＠

e:tl I I Q.l

12. til I X +11 = 3 ｕｴｬｾ＠ X ｬｊｲｬｕｬｴｬＧｩｾＧｈＱｈ＠ -5 fl1J 1 .. 91 xlxl i1fll!fh1Vl Utl1

1. -16

2. -4

3. 4

4. 8

5. 16

•

' QJ r!e:t QJ r! 1'U!'tll1'YI 6 fl'J.Jill'ri'Ufi 2559 ｮｾｮ＠ 11.30 - 13.30 u.

"

5)3 ' 1. 'ti't..\1[1

' 2. 10 'ti't..\1[1

' 3. 15 'ti't..\1[1

10)3 ' 4. 'ti't..\1[1

' 5. 20 'ti't..\1[1

•

' ..., r! cJ. ..., r! ＱＧｴＡＡｾｬＱｬＧｬ＠ 6 fll.lill'WlUi 2559 ｮｾｮ＠ 11.30-13.30 ｴＬｾＮ＠

q

... ｾｬＡｾｬＬＡｎｬｬｾｾＱｾｦｬｴｬｬＮｬＧｴｬﾷＺｭ･＾ﾷＺｭｬＧｴＬｾｮｬｬｬｬｬ＠ 60° ｜＿ｬｾＱｴｊ＠

q 'U

'JI ..., I ' QJ ' ｾ＠Htl1 ･ｬｖｉＱＱｾＱＮｕ＠ a : b &l'llfl1Hl'll ｾ＠

1. 1 2

2. 1 3

3. 2 3

4. 3 5

5. 4 9

•

' QJ ｲＡｾ＠ QJ r! 1lmnn1 6 fllJilWfl-tl:i · 2559

" !1tll 11.30-13.30 hi.

., ' '

15. ｴｨｲＭｊｵｵｾｮＱｾ｜＿ｬ･ｮ＠ 2 'lfU\?1 ｩｬｬｴＱＱｵｦｩｾｵｬｕｴｬＧｬｬｊｭｾｲｭ＠ ABC ｙｬＧｾｬｵ＠Ｑ｜＿ｬｴｩｕｾｮ＠

' ｬｕｴｬＧｬｬｊＡｍｾｴｬｬｊ＠ BCD

91 91 tll\?111-! AB ｕｴｬｾ＠ BC tll1 12 !lJ\?11 ｕｴｬｾ＠ 10 !lJVI1

B

1. 6J3

2. 16

3. 10J3 4. 21

5. 24

•

I QJ .!<:! QJ .! 1'WH;ll1'tl 6 ｑｬｬｩｬｬｾＧｗｦｩ＠ 2559 11.30-13.30 'W.

h ｾ＠ 96t -16t 2

1. · l < t < 2

2. 1 < t < 5

3. 2 < t < 3

4. 2 :::; t :::; 4

5. 3 < t < 6

•

..

' QJ r!e:t QJ J

1umnn 6 fllJill'Y'Il!fi . 2559 "'

'

mVJPl · NIETS ｾ＠｡ｭｵｵｮｯ｡ｯｵｭｯｭｳｩｩｭｴｾｮｯｩｯｾｬｩｩ＠ＨｯｯｮｭｳｵｈｬｾｕＩ＠ ! Ｑｾｬ＠National Institute of Educational Testing SeMce (Plmlic Organization) 11.30 - 13.30 'U.

' ' ' W' ""' r! ｾ＠ ' ｾ＠ ' ｾ＠ ""' ""' !)/ ' !)/ "" ' 17. ＼ｕｬｦｬｾｾｦｬｬＱＱＡｦｬＱｬｾＧｬＱＰｕ･ｬ｜ｬＡ＠ 1\l\ll'UHM\IM'U\I'Y'I'U11 Ａｬｊ･ｬｾｾｖｉＨ［ｬＧｕ＠ fll X (M'I-!1£1 : 1eltl'lf'U)

ｨＧｬ｜ｬｬＧｕｬｬｾＬｾｾｨＬＱ＠ P(x) ＱｶＭｭｾ＠

2 ' QJ

P(x) = ax + bx + c (M'I-!1£1: 'Y'I'I-!'Ul'YI)

'Ul'YI

"' ｈｾｾｴｬｬｾｴｬ｜ＱＱ＠ 200 ｾＧｕ＠ｬｬｾＬｾｾｬｬＬＱ＠ 3,000 'Ul'YI

Ａｾ･ＮＱＮＮｮｾｴｨＬＱＨ［ｬ｜ｬＨ［ｬＧｖｬ＠ｨ｜Ｑ｜ｬｬＧｕｾ･ｬ｜ｬｾｴｬｖｉｾＧｕｦｬｬｾｾＧｕ＠'U "'

1. 300

2. 320

3. 350

4. 360

5. 400

I

.., .! e::t "" .! 1'U!!Jl".i't1 6 fl'JJfll'Yi'Ufi 2559

" 11.30-13.30 'U.

I

18. ＧｖｦｾＡＧｙｉＧｙｩｯｕｴｊＧｈｬｦｬｦｬｦｬＧｩｬｬｦｬａｩｪｦｬ｜Ｑ＠ A Ｆｩｪｦｬｮｾｬ＠ 13:00 'U. ｾＱｴｬｾｾＧｪｬＦｾＱ＠ 40 ｯｬｾＦＧｊｊｾＧｪｾｦｬ＠I ., I

'lf1l'JJ\I Ｇｈｾ｜ｉＧｩＩｬｦｬＧｊﾥＧｕ＠ 30 'Uln qfi..JtJ'j(lflflfHllflAijfl\1 A ＱｖｾｴｬｩｪＱｊｖｉＦｪＧｊｊｾＧｕｕｾｾ＠ 1'lf

ｵｲｴｾｮｈＦｾｵＱｮｴｊｦｩＧｪＦｦｩＧｙｩ＠ｾＱｵｾｾＧｪｬＦｾＱ＠ 55 ｮｬｾＦＧｊｊｾＧｪｾｦＩｩＱＱＢＢＧｾ＠I

e::t .., ｾｴｬＢＢ＠ｾ＠ 1 ｾｦｩ＠ 1l ｾ＠ 'U 1J 'j (I 't1 'U 'Vi 'j & 'YI't'U 'JJ fl n ｾ＠ 1 VI "

1. 14:10 'U.

2. 14:50 'U.

3. 15:15 'U.

4. 15:20 'U.

5. 15:30 'U. •

•

l1ih 15 ' v .Jet v .!

1\!m'l'.i'tl 6 f)'J.Jill'Vi\!1i 2559 ntn 11.30 - 13.30 u. ..

... . 19. ｦｬｬｬＱＱＧｮｩｬｖｾｴｬｬｗｙＱｊＡｾｊｴＱＭＺｬｈｬｬＱＱｊ･ｬＮＺｬＱｊｾｾＧｴＱ＠ A ml::: B ijfi1'Wf-.HYll'Ufl.:l ｨｨｾＧｗｈｴｬＺＺＺ＠

ｴｮｩＱｴｊＬｅｮｖＱＱｾｶｩ･＠ 1 tt.:l ｲｵｵｾＮＺｬｾＱＱｈ＠..

0 v ill'J-!1'1-! (f11ll)

A B

Ｑｴｨｾｵ＠ 10 20

ｲｮｩＱＱｊＬｅｮｖＱＱｾ＠ 15 45

ｾ＠

... ｾ＠ "' ""v 0 """"' 0

tJVll C)ffl fl ll11 1 !lJ VI 'ill f11J 1 1J 't1 A ill\!1'1-! X tl.:) Htl:::illf11J11J't1 B ill'l-!1'1-! y Q.:l .. v d 1 v ""'1 u ""' , ' v ' lllf-.HUJf1'W!'Vifl l1flll111ll ＱｾＧＱＭＡ＠ ll'Wfltlf111 340 v -=! .!1, ,,v f11ll Htl:::llfll'.i 1J ･ｊＡｖｬＢｩｾ＠ ll'Wfltl

' v v v 1 f)11 420 f)"j'J.J Htl1'Ufl Vltlf) . ...

1. x+'2y > 30 Htl::: x+3y > 20 -

2. x+2y > 34 Htl::: X+ 3y > 28 - -

3. 2x+ y > 34 Htl ::: x+ 3y > 28 - --

4. 2x+ y > 30 Htl::: 3x+ y > 20 - -

5. X+ 2y > 34 Htl::: X +3y > 26 . - -

. OJ c! -=J. OJ c! 1hl!ffl'J'YI 6 flltill'V'Ihlfi 2559

"

21. 111 al, a2' a3'

!ll til a4 - 5a1 ｈｾＺ［ＺＺ＠

1. 1

3. 3

5. 5

.jJ ｾｾｯｯＮＮＭＮＮＬｯｯｭｾＢＢＢＧ＠ｾ＠ ""'"""'""'"'teolEd""""''T"tl"!lS<"'"'iP""<<X"""""""')

2.

4.

ＡｕｨｬｴｨｶｬＧｵＡｾＧｕｦｩｗｾ＠

134

31

416

33

ＡＱｾＱ＠ 11.30-13.30 hi.

!ll ｲｲｨｮｵｲｲｨＱｖｾ＠a1o - 39 ｈｾＱ＠ al

2. 2

4. 4

•

' .., .!<=t .., .!

1'lH Ill 1 'YI 6 t1'll ill'YfU fi 25 59 "

11.30 - 13.30 'U.

' ' 22.

2 n - 1 a,ar,ar , ... ,ar ＡｕｗｨｾｭＱＧｕｬｦｩｗｶｲﾥｩｩｪ＠ n 'YHn1 ［ｵｾ＠

1. 56 2. 72

3. 88 4. 96

5. 102

' ' ... :II ｾＺｉｉ＠ <!:! Q.l ' ,tJ til ＧｴｈｦｬＱ･ｾｩｬｴＱＱｈｬＧｕ＠ t 1J m\'1 Ｇｬｬｾｦｬｬｦｬｾｭｾ･Ｇｕ･ｾＡｦｬｾ･ｾｾｮＧｬｵＡＧｲｨｮｵｮｨＱｾ＠

'U •

t-1 1. (0.15) A 1Jl'YI

2; t

(0.15) A 1Jl'YI

3. t - 1

(0.85) A 1Jl'YI

Ｔｾ＠t

(.0.85) A 1Jl'YI

t+1 5. (0.85) A 1Jl'YI

•

'Yii!l 18 ' IV ＢＧｾ＠ v G

1l.HflT:i'tl 6 fll.lill't'fl-Ui 2559 11.30 - 13.30 l!. "

• • •• • •• • •• • •• ••• • ••• ' ' ' '

·n.lf11 'Jtltl 2 'Jtln 3 'Jtln 4 . . . .. .. .. .. ' ' !II

11-!'Jtln -=to <:1 mn 10 ＧｉｊＧｬｬｬＧｴＭＡＱＱＭＡｾｖｬｦｬｾｖｬ＠..

1. 55

2. 60

3. 66

4. 78

5. 88

•

QJ c! ｾ＠ Q..l . c!

11-Uffl'irl 6 fllJill'VfWti 2559 "

•§JVJPl - NIETS

｡ｭｵｵｮ｡｡｡ｵｭｯｭｳｩｩｮｾｬｩｩｈｏｾｬ｡＠Ｈ｡ｯｮｭｳｵｈｬｾｕＩ＠Natlonallnititute of Educational ｔｈｾ＠ Service (P\dc ()(ganlzatlon)

'Hih i9 ｮｾｮ＠ 11.30-13.30 u.

0 QJ

25. ffl'H1'U n = 2 , 3 , 4 ,

26.

!iJ

A !iJ

729A6

nhn'Unh1Vl til a +a + ... +a mn n 2 3 II

1. 190

2. 195

3. 200

4. 211

5. 243

20 ｾＭＡｬ＠ 1u1uoV19 ＬｴＱＡＢｕｔｲｨＬｾＡｪＱｾｵ＠ＱｖｾｭＢｕｬｦｦｬｬｊＱＱｴｩｖｉｾｕｾＭＡｬＬｾｬｊｬｦｬｦｬｬＱＱＧｵｲｬｾｵＧｈＮＮｲｬ＠

..i'u 5 ｾＭＡｬ＠ＡｲｬｾｲｴＧｩＧｕ＠ 7 1u ｭｬＧＱＡＢｕｬｖｉｾｕｾＭＡｬｦｬＧｈｾｬＧｕＬｾＮＮｲＭＡｬＧｈｬｊｖＱｾｾＭＡｬ＠"

1. 235

2. 240

3. 245

4. 250

5. 255

l1iil 20 ' QJ r! ""! .., r!

1lmll'H1 6 fll.Jfll'YfWli 2559 .. nt'n 11.30 - 13.30 u .

17 21 19 23 ' !II ( l1U1tl : ttlU1JHl )

., gJ ot::l.Q.I ' 0 v ｾ＠ g,J 0 cv ｴｬｬＱｊＩＧｬＺｉＧｙｩｴｩＱ｜ＱｕｬｬＱｕｦｬＧ｜ｬｦｬＧｬｱｦｴｴｾＱｴｬ＠ 1 , 1 , 1 ｈｴｴｾ＠ 3 ｾＱＱｊｴｴｬｾＱｊ＠

ml'1 ｲｨＦＧｩｬｾｭｴｴＧ｜ｬｦｬｲｵｾ､Ｑ｜ＱｊｬｬＱＬｲｦｬＧ｜ｬ･｜ｉＬｙ･｜ＡｴｴＢＮｻｾｾＦｦｩｬｮＱｊＦＧｴｩｬＱｾ＠

1. 13.33 !II ttlU1Jl'YI

2. 18.00 !II ttl'U1Jl'YI

3. 20.00 !II ttl'U1Jl'YI

4. 21.00 !II ttlU1Jl'YI

5. 31.50 !II ttl'U1Jl'YI .

•

' ..., i! -=! Q.J c! 1'WmTfYI 6 fn.Jill'fi'Wti 2559

Q

. ' " ｵｶｩｬｬｾＱｵ＠ｾｩｊｵｮＡｬｬ＠ 30 1u ｾｩｪ･ｬｾｾｴｬＬｲｲｨｶｬＧｵＧｬｩＧ･ｬｬＮｬｬｬｭｮＧｬＡ･ｬｴｬＬＧｬＮ｢ｮｮ＠ｶｬＧｾｩｬ＠

"'

-33 37 43 44 44 55 58 65 65 66

71 74 75 75 78 81 81 81 82 84

86 86 87 89 89 92 92 93 93 95

u c! , cl..i ..

ｾ＠

"U el ｾ＠ ,j' el'IJ ll 'I! VI U !'t'll OU rt'll 1 ｾ＠Ull1 ｾ＠ el'HCU'W 't'lll't'l 33

1. 66.00 nlllu-JVJ'J

2. 66.50 ｮｬｴｬｾｬＮｊｖｉＧｊ＠

3. 67.15 nlml.IVI'J

4. 70.00 ｮｬｬｬｾｬＮｊｖｉＧｊ＠

·5. 70.25 ｮｬｬｬｾｬＮｊｖｉＧｊ＠

• /

l'i.Ul 22 ' .., t! .::1. .., t!

1'kl&ffl'H1 6 fn.Jill'W'klfi 2559 .. 11.30 - 13.30 'kl •

' ' '.s ' .s .,..., ' ,;jG! .s 29. ｕ･ｬＮｾＧｕｬｕｖｉｾｈｾ･ｬＧｫｬ＠ (l'i'ki1U : l'il.J'ki1Jl't1) Ｇｕ･ｬｾｴｊＢｊＢｬｊＧｴＱｈｬＧｩｾｬＧｩＧｫｬＭｾ＠ &'ki"J":i::U:i::!1tll 10 ｾｾ･ｬＧｫｬ＠

ｾｵｵｾｾｾ＠

154 151 148 405 158 157 158 148 148 153

ＬｊＧ･ＭｾＱｾｯｮ＠"'

' ' ' 1. ｦｴｬｾＧｩｬｾｕＡｴｬＧｬｬｦｩｗｖｉ＠ ( x ) ｾｩｊＧｫｬｦｴｬｦｬｴｬｈｮｭｬＮＮｬｬＺｩＺＺｬ［ｬｬＮＮｬｮｱｾｲｩｬｬＧｩＭＧｲｴｊＡｩｾｊＧｫＡａＱｈＧｴＱＧｫｬＧｬｬ･ｬｾ＠

"" ｾｬｬＡｬＡｕｬＮｊ＠ = 148

"" ｾｬＧｫｬＧｫＡｕｬＮｊ＠ = 158

4. ＧｊＱｴｩｕｾｬＧｫｬ＠ｾｩｊＧｫｬｦｴｬｦｬｴｬｈｾｭｬＮＮｬｬＺｩＺＺｬ［ｬｬＮＮｬｾｱｾｲｩｬｬＧｩＭＧｲｵｩｊＧｫＡａＱＮｈＧｴＱＧｫｬＧｬｬ･ｬｾＬｪＧ･ｬ｜ｪｴｬｾ＠..,

ｈｴｬＺｩＺＺｬＮｊｦｩｕｾｬｬＡ＠ = 157.5

5. 'IYtiu 51 'kl ｾ＠ iJ 'kl fi 1 fltl H ｾ＠ｾ＠ l'i l..l 1:;:: l;ll..l ｾ＠ｬ［ｬｾ＠ rill'i 1 u ｾ＠ iJ 'kl A' 1 u nu 'll ･ｾ＠ｾ＠ ,J ･ｾｬＮＮｬ＠ t1 ｾ＠ｾ＠ .. "' ..,

ｈｴｬＺｩＺＺｬＮｊｦｩｕｾｬＧｫｬ＠ = 153.5

•

ｾｩｨ＠ 23 ... . .,; ... . 11-mn 'j n 6 flll .nTvn.ni 2 559 !1t'll 11.30-13.30 'W.

"

' ｈｾ［［［＠ x ｾｕＧｗ＠ 'll1'W1'Wi1fi'W'l1 fl-:.111-! 1 ctil'l-! fll'jft ｦｬＧｈＱＧｪ［［［ｶｬＱＱｦＮＡｖｾｬｬｦｴ＠ mn

., ｬｖｾｴｬ＠ X ｈｾ［［［＠ y ｴｬｬｬｾＧｗｈｏＧｗ＠ｶｬＧＭＺＮｾｩｬ＠

. Y. = 2x. + 1· · i 1 ' 2 ' ...

1 1

' 5,7, 9, a

<!! ( ｾｬｬＧｬＭＡＱＱＱＧｙｉ＠ )

' ' ｈｾ［［［ｦｩＱｾｵ＠ｩ｜ｬｭｾＧｕｦｩｗｾ＠ ( ｾ＠ ) 'Uel-:.t'll1'W1'Wi1fi'W'l1 fl-:.111-! 1'tfl 'W fll'jft ｦｬＧｈＱＧｪ［［［ｶｬＱＱｦＮＡｖｾｬｬｦｴ＠ fl'H1

nhn11 4 m\'1 ｦｬＱＱｬｬｭＮｨｴｨＱＧｗＧｕｦｬＭＺＮｴＧｪＱｴｬＬｶｩＧｾ･ｬｾｾ･ｬＧｗ＠ｲｲｨＰＧＱＱｮｨＱｖｾ＠

' 1. 9.00 ＨｾｩｪＧｬＭＡＱＱＱＧｙＱＩ

Ｒ＠

' . 2. 14.00 ＨｾｩｪＧｬＭＡＱＱＱＧｙＱＩ

Ｒ＠


Ｒ＠


Ｒ＠


Ｒ＠

11.30 - 13.30 'W.

31.

m 1.

w

m 2.

w+m

3. m+25

w+35

4. m+25

m + w + 35

5. m+25

m + w + 60

•

11.30 - 13.30 1-!.

' ｾ＠ -=I cv -=I ｾ＠ "'''i' I cv ｾ＠

32. ｴｮｴｮＱＧｙｩｦｴＧｈＱＱｊｦｴＱＱＧｬＱｾｬｊｾｦＱＧｬｦｬﾣｊｍＧｈｬｾｦｈｙＱＱｬｊ＠ &eJtntn'Yil9 nu mn ' ' '

ｾｬｵｔｭｔｬｊＮｬＺｴｦｮＧ｜ｊ･ｾｾｭｾｭＱｲｵｮｦｴﾷＱ･ｾｵｦｴＭｲＱｦｩｩＧｬｾｮ＠ 4 ftu ｩＧｬｾｮｦｴｵｮｴｔ･ｾｾｴｩｬｵｍｴ｜Ａｾ＠ｵｾｾ＠' '

-=1-=1 11 ｾｦＩｦｴｬＡＧｙｩｴｬｴ＠ l!'lfl£1 rrht1unh1VI ..

1. 4

2. 6

3. 8

4. 10

5. 16

•

ＧＱＱＧＱｾａｬ＠ 26 . Q.J .! cJ. Q.J .! 1t.!Hll'jfl 6 ｑｬＱｦｬｬｾｴＮＡｴｩ＠ 2559 11.30 - 13.30 t.! .

. H 1J 1J 'i ｾｕ＠ｬｴｬｾ＠ 1HV\I'fh U 'W ｲｨｾｈｬ＠ 1J 'l) l'U TW 8 ｾｦＩ＠

. 33.

QJ cJ. !II -=!i cJ.

ｴｾ＠ m 'j t1 u '11 tN '11 u 'llJ 5o ｦｬｴｾ＠

. . !II o OJ cJ. cJ. I cJ. .! I cJ. -=!-=! mn Ｇｬｩｬｴｾ＠ 1 u ｴｾ＠ m 'j t1 u n! ｾ＠ u fWil 'j e t11 ＧｾＡｖｉ＠ tl1l1 fl flt.!

34.

' o IV ｾ＠

ＡＡｾｾ＠ 12 (7ll'jH't1t.!1tl ＨＷｬｬｬｊｾｬｖｉＱｊ＠ＡＡｾＱ＠

. 2 2} c!o -=!OJ

!CJf(71 { a, b, ab, a+ b, a-b, a + b ｬｊＧ｜ｬｬｴＮＡＱｴＮＡＨＷｬＧｪＧｪｦｬｴｬｾｦｬＨＷＱＱ＠

. 35. 01 x ＡｕｴＮＡｾｬｴＮＡＱｴＮＡＧ｜ＱｾＧＱＱｊＱｦｬｦｬｾ･ｬｖＱｦｬｋ･ＧｬｾｬｊｦｬｬＧｪ＠ ( 4 x )

2x-l

!II -=!1 IOJ 16)

ＡＡｾＱ＠ X lJfll!fllfl1J!fll!Vl

•

'

§JVJP1 - NIETS ｾ＠｡ｭｯｊｵｮｯ｡ｯｵｭｯｭｳｩｩｮｾＱｭｩｯｄＱｩｩ＠ (aonmsUHlDu) . !1tll - National Institute of EdUcatiOnal ｔ･ｳｾ＠ Service IP\mlic Organlz.atlon)

Ｇｖｩｾｬ＠ 27 ' <V .! ""' <V .!

1lHftl'j't1 6 fl'l.l.fll'Vfl..!1i 2559 .. 11.30-13.30 l!.

' ｾ＠

36. ｴｩＧｷｮＧｬｬｯＮＺＮｊｭｔｩｩＮＺＮｊｮＧｴＱｯｾ＠ＬｴｊｾｮｵｲｬｬＡＱｾＬｶＱｴｮＱ＠ 14 ｭｾＧｪ＠ｈｴｬｾＧｬＮｬＧｬＮｉＦＮＺＮｊｵｭｮ＼ｕｾｴｬｴｬｬｕＧ｜ｊｏＮＺＮｊ＠ .. ..

( o <11 V • Ao ｦｬｬＧｖｩｬＡｾ＠ m sm = 0.6 ｈｴｬｾ＠ cos Ao = 0.8 )

' ' 37. ｮｬＧｖｩｬＭＡｾＱＧＱＱ＠ a &iJl!'t'I<Ut!n n ＧｬｬｯＮＺＮｾｾｨｾＧｕ＠ｾＮＺＮｾｩｬ＠

n

' <!!

- a +n n

!'l.IO n = 1, 2, ...

26 ml1 a + a + a ｮｨｮｭｴｨＱｾ＠1 2 3

' ｾ＠

38. ｯｕＰＱｊｴＱＱＮＡｾＧｖｬｵＮＺＮｾｩｬ＠ 8 fll ＦｪｵＮＺＮｾｭｮｵｯｵＬｵＧｬＮｬｬｦｬ＠ｾＮＺＮｾｩＡ＠

74 78 80 80 a 90 90 b

ｾ＠

!V !V ""'""' "'> <V I <V <V I <V

ｴｬｬＧｕ･ｬＱｊｴＱＱＮＡｾｬＡＧｬＮｉＧｗｦｴｴｬＡＧｴＱｬｦｬＧｕ＠ 18 ｈｴｬｾＧｬｬｦｩｕＱｊｬｬＡＡＧｴＱｬｦｬＧｕ＠ 85

ｵｴＱＧＱｦｩＱＦｵｾｭｴＱＧｬｬｦｬｗｾ＠ｮｨｮｭｴｨＱｾ＠

' v .!e:t v • 1'U!tll1fl 6 fllJ.flWfl-tfi 2559

Q ｮｾｮ＠ 11.30 - 13.30 u.

I

2 10 6 8 9 ( 'l'il!1tl : 1Jlfl )

' ｾ＠ I <=! ｾ＠

s flel tl1UA1Jti.:JA1JUlJlVI1!ll!'\18-:J'\lel'iJtl

mh ｾＸｴｬｴｬｾＧ｜ＱＸＭＺｊ｣ｕｬｕＱｕＮｕＸｬｊｴｬｾＸｙＱｷｴｨＮＺｊ＠ ( x - s, x + s) ｲｲｨｮＱｊｮｩｬＱｖｾ＠

( ｦｬｬｍｕｖｾＱｍ＠ J2 = 1.41 , & = 1.58 · , fW = 3.16 )

40.

., ｍｕｬｭｪｵｲｵｾｈｦｦｏｕｬｬＮＺｊＧｬＧｩｬｊｖｉ＠ｮｩｬｮＱｊｲｴｩｬＱｖｾ＠..

•