중3 쎈수학(하)-문제

200  144  Download (0)

전체 글

(1)
(2)

/ 1: 1

i-4

step Q 7flgZt *,Is

%xi!

L j ... ---

'E

=qlE L,tOlS%iz s e t q

t%!SlEt.

step @ 7(= S X ~ ~ Z

S!WSti!

SX114 k t O l E S A, B, C 3811Z Lt+q W Y Z AIk@!g 7

I S t !

1 I !

'E

=XIIS agilq9 w4etq

$+sZtet%gjLl El.

; 1 step Q ggg =XI1 5flSE!S O_IJgIXC! o I ,

I ,,

i

I

T

(3)

=l:,zil"P 'd'1 018"01 L,-q"l ,, ,#,L.~:,,!# r , , . +$ 1 ! 3 i i z , : "Ic, c -*I, 3 q < , * L ? j ,r:<-L,k, ; . - . I ; / , . gqE!y LH$ gfll

gsQ

g g t Z t E H & L l ~ t , - ~~ ,-.,: ,.,, ~, i 1' -- P - , . 8 ocn, ~ -

5 ,., :<I,, S X j 1 4 ZEH, %HgqI A E E l + q+J 7 H g 821, S O 1 s y 31 Kt21 SXjIs g

5 Z t E w F x i I %HZ

&+s

31s3

z.55

~ t z & ~ l c t , gsq( LHFt Ol%H7t -51 g ! P q l t 49% 3 1 7 t A j 7HQ; ctA( Ft g qg P g o X i l g gq 6 5 ZtAlEt. , , sii , . . ,, - . ~ , . 1:. +-,!-: bI4C-l

-7

-015Q XjIA13 E3011Aj AlgCdI IF SXj14+ LHG gXj1fiLlCt. LHGE3Zt Btnll E301lAj 3 0,!+ E X j I k 61, g, 3EtAlq k t O l E A{1gG.t6H qt2 A13

,

1

g x i p 1 iUtI4Lt5t 3 %k Eg Ikg yts%eLlLt.

012,v! A j l g Z t g Eg 5 L H ~ gXj1g01 70% Ol",q E 3 g L I C t . SLE

L H ~ 1 E\ g g 6 t x p t q qd 5 q o 1 Z~LIC~,

e (SSEN 37dct2l)oll+

+

3Ft 0 10 17 1, +%I TI&, +%I X q $q g f l l t

(4)
(5)
(6)
(7)
(8)

47,F@7,Ff$ollAj &)*& ;5rlz yJ+ f

3q 301s

7,FTF a, b q __--- I nlEtZ2tAq 32lk 47,t",t7,t gqlAj0,t 4851

+

3~1. 5 i z ,

33q

301s

c q

3

q,

c2=a2+ b2

-

44*d7SWlAl .lW Y O l q 4 W

01

A'

%?w.

L t W X I

+

Y 4 YOlq X i E 4 Eta a t . g=E!1q g g

+

qd 1, moll cH5tCr=

52.- I%*

qq@qf$

ABCqlAj

33

A B S

3

AABCQt A A B D k m7t O,'

YO(3 &0171 &Q&Z

3 s

5k

gAi7,Fg

AFGBq do]+ w x l f 3 BC, AABC= AABD

C A 8

q7,F

3-93 S k

+

?jA)?Fq BHIC, ACDEq

-1 01

q

q*

Qq-.

O OAFGB= OBHIC+ OACDEO] EZ

AB2=BC2+m2

*b*K%4 'do I t 3 Y q g O 1 4 XiEa 'W

I

I -

----I

- -- -- --

&

4*@7,Fq ABCq

4

3 % 3 gS?.?ii %)+ 4) 4 A \ q q ACDE, I

AFGB, BHICS If-lq

+a3

CollAj ABql q g f gq 2%

' L, 1 gXJ44 FG7]

$q+

3 % Mo] 4 51% I rAEAB-ACAF(SAS S Z ) n E A C = n E A B = n C A F = n L A F - - - m//m m//m f n E A C = n L A F o ] %

1"

'dOl7t 01;2s *7,%s 0""

OACDE = 2 n E A C = 2 LAF = OAFML z s t !0_('l 2s AEt3g

~

E @ ~ M G

&F+ tl,F*O %]@ D

nHBC= AHBA= nCBG= ALBG

f AHBC= ALBGo]%

OBHIC=ZAHBC=2ALBG=OLMGB

q44 UACDE= OAFML, OBHIC= I7LMGBo1% at

OAFGB = OBHIC+ OACDE

2 -2 -

(9)

0009

W

QW

z%i+

2

01 L A7F

q7,Fg

@qF3j A B C q

q

3%

3

323

Z k hj] 3Af7,F 3jollAj

-11Bc%

q,

OADEB= OBFMLOdS

$9

5-

43

01 q.

b~)-(d) oll

",F",Fg

3%

4 w 4 .

=a - 0 0 - - AEBCPF AABFollAj - - - EB=AB, B C = ~ , LEBC=LABF :. AEBC=AABF

(

0%)

I

o l q

EB//DC,

BF//AMoIEz

AEBA=AEBC= A A B F = m .'. OADEB= OBFML - - . -

(10)

I

9s

1 3 4

201

47,F%7_Fg

ABCOlIAj f

38Fq

3

@q

3017F a + b 9 3 A F 7 , F g C D E F S

1qg

AABC- AGAD= AHGEE ABHF (SAS

BE)

01% O A G H B g 3 A F 7 , F g o l q . OCDEF= OAGHB+4AABCo]E.S . . . #&# 7 pili,gI $3 -

9- ~ g - j o l l ~ j ADEB= nBCA(SSS 3++)0]oZ n D B A k D

L DBA = 90" 9 4 7,Fo]+3E-,Fqgo] q .

x+.=9O001% a

ODECA= ADEB+ nABC+ n D B A o 1 ~ 3 LDBA

= l e o " - ( x + . ) ;,

... .... ....

1 1 1 1 =90°

,(a+b) (a+b) = T a b + T a b + ~ 2

9-

1 3 4

201

*7,F+J7,Fg ABC* Qz9

37Hq

+)7,Fg

o n =

2;o-l

*At*+# ABDES Y E $ OCFGHk

3

@q

4

0 1 3 a - b 9 % A F ? F g o l q . OABDE=4AABC+ OCFGHo]% 1 c2=4 x T a b + (a-b)' . C .. :. c2=a2+b2

41

34

3017F qF7,F a, b, c 9

%?+#

ABCOI14 _ _ - - - 0 i i ~ ~ t z z t ~ o l 9 I

A*'',

q & t & t q t g q Ail t$q 20171 3

c2=a2+b2 b

+

%k Ail X t Y + Z k 9 3747F 01 @7,FgS

ggq

-1017F c 9 471F%?F (3, 4, 51, (5, 12, 131, ... ... ...

g.01

q.

- B'---- a ..-- 'C (6, 8, l o ) , (8, 15, 17), 0 1 ~ c t . olat 20 I IIIE~ZZ~A

q s Z l 5 O,t+Al7lk Ail XtY+

&@

41 @ q 4017) 7,FGF 1 cm, ficm, O c m 9 +!d-71Fg ABCO114

( 0 ) 2 = 1 2 + ( m 2

O]D 37,Fg A B C k 9Wl 4017) O c m 9 4zF@Z,F%01q.

014 Qol ~ i ] ] gL?l 4017) Fqa +)7,Fg0] 47,F.'d-7,Fg94 %&)LLq% 7)xJ 3 Wl 401q

(11)

00 14 2- 1 % ~ 359

47,~

+f7,Fq

4 7 1 s

o]+s)q

34

3 017) a+ b 9

3 A ) z F q

C D E F S

9s

301q.

"15

01-$";Fq

qqx

q & q x d q s 3 $ % k q ~ d 0 ] q

gq P%

q

, (71.)

-Q

o ~ I " ~ F " , F ~

3%

4

2

q

4.

[0015-00l71 P e lad21 3AtTt A -- .4cm 5 3 ~ ~ . % ABCD WlAi - - - -AE=BF=CG=DH=3cm, - - - -

ED

G AH=BE=CF=DG=4cm OE] KH, C E7SM2t. F C 001 5

mq

401

(12)

0026

s e a

9-

1"d 201

7

qq4q

3017) 7,,qF 18 cm, 24 c m g n) 18 c m

59q igq

?go]+? 0 1 4 c m @10ficm C @ 6 f i c m @15cm @ 4J15cm .3 cm.

0

0029

@ea

9- 1%

q 3A)qFg

ABCD

GC-4

301q Tl-4

.aF

7 F 2 E L

4

o

1-

2g

3~)qFqjg

F)

+$Zl?7.9qdil,

*%0144s

B c E

g

<)

3%

6k

3 A)qFg g

FJ

3rEj ElS7F? @ A E

@BE

@BF

@DE

@DF

(13)

0032

@e@

agq

1%

q

4 q F k F q F g ABC

"14

~C=90"$! q ,

xq

a$?

C

/.\0101\

2017) 2 4 c m 9

S

3%qq

A A B C ~ \ ~ B = 9 0 O 9

0

14 @ 15

4+$qFf$~]

q%q.

F A, C

(14)
(15)

- -

AC,=AB,=/Ta,

- -

(16)

A D F H J JZ B'~::-..Jz~ .-..- --.c E G,.-,'I -.__ --. - -... ...- --- 0054

Sea

9-

1"d

OABCDoll A j -

-LA= ~ C = 9 0 ~ 0 ] 3 AB= AD,

BC=5,

CD=J?OJ

q ,

ABq 2

/-)

Olk? B

--

...-.-- ---.-.-- ---'i:

(17)
(18)

Q q F q ABCq 7,F 9% @ 99 A

q.

f xdA)7,F% AHIB, BJKC

0064 sS@

.Qw

33s

,",'7,F@qFq ABC q1Aj

3% 3

9%

Z k

41

H xd A)7,Fg

g

1 9

301

q.

OAFGB = 35 cm2, 35 cmZ OACDE=15cm2$2

q,

AABCq 301%

+W4.

G

0065

@S@

.Qw

I$S

47,FF7,F3j ABC

7,FgQ

I 9

gO1q. A A B C q H $017) 10 c m 2 0 1 ~ OADEBq $017) 25cm2%

q,

f 8 A ) q F g BFGCPF ACHIq $ O l q 3%

+w4.

AB, BC, C A S qFZF @

9%

q+ 41

4 A ) q F g g 1 3 q .

0067

Q

w

1%~)

201

LA= 9 0 ' 9 ."_1qFQ7,Fq ABCq

3% 3

3%

q-+

Aj] x5 A ) q F g g 3 %

q.

m=10 cm, ==8 c m g

q,

n B F N q

$01S

+%)q4. M G

(19)

0068

@e@

~ ~ M ~ g q ? & o l ,

~ A = 9 0 ' 9 q q A B C

1

A ,

_

BC, C A S qF7,F

3

99s

S k H

A\

+p\-g

Igq.

9 7

Iqpj

.

n

E B C q 3 017) 7,FP

3

s

Z5

% 7H97)? K~

(1) AEBA (4 A ABF (4 ABCI

(2) ABCH (4 A ABC ( ~ 1 +OBFKJ

O

27H

0

37H

0

47H @ 57H

0

6 7 ~

1 g g

1 A = 9 o 0 g @jF+,,q

3

A B C ~ A ~

-1s

3

g s

5~ 8A)qF$l B D E C S

19

301q.

m = 8 c m , = = 6 c m 9

q,

49%

B B O L O L'7

r - l d

1-z.

D E @ 50 cm2 @ 54 cm2 @ 58 cm2 @ 64 cm2

0

68 cm2

AABC= AGAD= AHGE

= A BHF

(20)

9-

1 g q

4AF7,Fg ABCD

q1.Ij

- - - - AE=BF=CG=DH=7 0 1 3 OEFGHq -1o17F 5 8 9

q,

OABCDq -1olS? D E L AB=6 cm, nAED=50 cm2

(21)

0080

sea

ag+ILgsagq+q

A

7,Fg?g

A B C q C D E S

01ssfq " \ q q t

ABDE

Cm

3 cm S

",Fg

301q.

01q

mq

D

3

0

1

s

'F~FW.

= AEAH

@ OABDE, OCFGHk ?YAtq%

Q OABDE= OCFGH+4aABC E 0 c2=a2+b2

a-

~ W p j 47Hq

4zF%zFq

2% ~ 5 0 1 ~ 1 U A B C D ~

-101

+

270)q. ==3%

q,

OEFGH

q

%fw

g01k?

6(@-1) @ 6 ( 6 - 1 ) @ 12(JZ- 1) @ 12(fi-1) @ 12(3--JZ)

(22)

0085

sea

a

-

I%]A~ 47Hq zjqF+FqFg

S

LL+

35013 UABCDq

O E F G H q -101% &FqF 40, 16%

ZrH,

x q

as?

00

@ a

0

4

3

06

0

4

7

(23)
(24)

ABCDS T3;;Cd B7F ;;Cd Doll D a r g

;.d%q.

~ 3 = 1 5 c m , 15 cm / - - BC=25cm$

4,

A'Eq

-101

C k? " 25 cm 0097

sea

a-

13s

4 A ) q F g ABCDS T3;;Cd B7F ;;Cd DOll ar%-

4 s ??iO1q.

AT=

1 2 cm,

QD=

13 c m g 4 ,

BCq

go]+? +FqFg

90Jq

30125

m s

3s

4-

S)q

T3;;Cd

A7F

g

BC

q

-1% Doll =%-

a%=+.

014

" 6 cm-' - - AB=BCo,! Y q 0 1ggH7,tg @ DB=xZ 2SFj - - DAf=DA=a-x c @ ADBA'G~IA~ ( ~ - X ) ~ = X ~ + A ' B ~ 7,Fg P O J q

501gmg

+j+

42

Z

8Fq

2+3%

B7F

ACq

-1% D oll QFg ;"d

%q.

014

A A E D q ,: B

(25)

(L) 2cm, 3cm, O c m (E) 1 2 cm, 15 cm, 20 cm (2) 8 cm, 4 cm, 4 0 c m - - -. - - - - -

0

2cm, 3cm, 4cm @ 5cm, 6cm, 7cm

a

6 cm, 8 cm, 10 cm @I 2 n c m , 2Ocm, 4cm @ O c m , 2 cm, f i c m

~

(26)

1 g o l l ~ j

3

G k AABC A

q

F I ; ~ . ' ~ Q ] X ==8 cm, 8 cm CollAj

44

loll LHg '3 1 qF7,F D, Eq5l-x). m = 3 c m , ==2cm% q ,

BE

q

go\+? 0111

VB

12% R % 01

a

*

134

go]

@

gq

201

A ...- --I2 cm- .... 7) 12 cm?J X@)qFg ABCDol] Aj

-1ABq

8Foll

qq-q

- C F = 4 m c m Q I q .

CFeF

DA

q

g5p4q

iz3g

E q %

q,

A A E F q AQl+? 01 12 GJ 12% RS 01

a

*

1 g q p j

E l m ,

ABlDEQIX

E = 2 , ==4, m = 5 0 ?

q,

AABC

A

q

3Ql+? B' c“-- -.... - .:D 9 0

0

,

0

5 0

(27)

01 15 f3 1p03 02 ,#

-

rr

ew

g o ]

3

gq

3 A ..;. ----12---... 017) 1 2 9 xdAF71Fg ABCDoll Aj

BC

qq

4

Poll

qqq

L P A D q -115S4o1

CDeF

P ",Fq-k

4%

E,

BCq

-1%F4qL c

q-q-+

4 g F q 8 ) x ) . m = 4 g

q,

APq

go]+?

@

7 0

0

13

0

6 6 @ 14

0

100 01 18 @ 17% %s 07 2- I W I A j

mq

3 A . . . - 13 cm Olk?

5cmbF

@ 4Jllcm B'. 3 cm 0 8 0 c r n D

0

4J13cm @ 4 m c m

0

4J15cm

(28)

0121

a

1 8 % ~ ~ 09 2-

33%

L A=90°

9

qqj+F71F

g

ABCqlAj

-1%

g-

9% 5. 3 A F q F g BDECZ

33

301q.

@ l c m 2-

g-01

AD=

12 cm, CD=5 cm q A F 7 , F q ABCDS

(29)

0127

lgj

12% s3 01

a

-

ILgq

7,FS g a g l A F g

9

A B c D q l ~ j m=2 cm, m=4 c m g

q,

BDq

401

$5

75I-q

q.

0128 @ 12% ss 01

a

-

I L ~ *

g-01

3017) q F q F 25 cm2, 225 c m 2 g

7

aAF?% ABCD, E C G F S

S q

%%q.

olq

BFq

401s

7q-qq.

C G 01 30

as+

ILgq

GF&

qqqz

ABCD

qP.1

a=

10 cm,

AD=

13 cm,

E=

12 cm, BD=x cmg

q,

x q

a2

7%)

q.

0131 6~ l e ~3 09

ILgS

Z)qF+FqF% ABC A)-2 3%

301q.

AEBN I

q

3017) 16, ANADq

301

H 7F 9%

q, 4qF.'d-?+3

ABCq

~ l l q

401s

75l-W.

F

(30)

@ .,Fqqq gx*7;! @ L C @ ~ O ~ C J ] ~ c2@a2+b2 h,t7,134 Ail yq 30171 7 , q Q L C O ~ O ~ ~ ] ~ c 2 0 a 2 + b 2 nlEtXZt4 34

+

lb-cl <a<b+c @ L C90°01g ~ c 2 8 a 2 + b 2 la-cl <b<a+c la-bl <c<a+b - . - - 0. . . - . . . . -, LA=9O0q

.7_]7,F.'d-7,Fg

ABCqlAj

m ~ B C %

q , @ iLJElZ2lA21 221 0 a2= b2+c2 Q qq\.",t.qt.gq gtg 0 C 2 = a x , b2=ay, h2=xy @ qqt.%q\%q 301 0 bc=ahQ (2) i i I E f ~ 2 f A q l B+l% 01ggt qq~7,g521

3s

/ A = 9 0 ° 9

.7_]7,F.'d-7,Fg

ABCqlAj

4

D, E7) 7,F7,F - - AB, AC 4"11%$

q

DE2+BC2=BE2+CD2

(31)

0 1 34 2% 6F71Fg ABC 7F gqF@q~g 01

q

sg

z)k

q

~i

X -

3

4 s T5l-q

q.

(9,

x7F 7F3

d

WI 40101q.)

/

B ... ... 'C 0142 f%S0S+Z%i+7EF

g

471F6Fqg ABC

qpj

DE2+BC2=BE2+CD2

B C 01

A j q g g ~ g % k * ~ o ] q .

(7F)-(*011"2F",F+

3%

4

'4

qq.

(32)
(33)
(34)
(35)

0160

@7,Fgq

-14)

94

3017) WZ)

gz

q,

zq.',F7,Fg

9

3

S? @)3cm, 4cm, 5 c m @ 4cm, 6cm, 8cm @)

Gem,

ncm, 2 0 c m

@

5 cm, 6 cm, 7 @ 8 cm, 9 cm, 11 cm

(36)

0166 @e@

a-

IW

201

dA=9O0

3

4

qF.',Fq,g ABC O11 A j

0170 s e a

2- 1 g Z )

201

LA=90°

9

4

qF+FqF9 ABC O1I A-1

- - - A m AHIBC, AC=4cm, B H'2cm , C m = 2 c m g q , AABC4 3 01+? ~ - ~ ~ Z ) @ ] L B = ~ O ~ O J A

4

qF+FqFg ABC

.11

A j 3 crn - - - A C I B D , AB=3 cm,

(37)

0173 e e a

9- I",

201

/A=90°9 A

4

&F+FqFg ABC

O11

Aj

- - A D I B C O ] ~ ==6, E = S B / D 9 q ,

AD^

goiz

3-510clq.

0174 e e s

agq

134

g o ] / C = 9 0 ° 9

4

&F.,F&Fg ABC Ol1 Aj

- - AC : BC=2 : 3% q ,

BCq

aO1

k? B SSEN

3

@BSAI

0177 e e s

a-

~ $ q

4

&F+FqFg ABCOll A - - Aj AB, BCq

33%

qFqF D, E q D 8F;xF. = = 6 9 q ,

AE2+CD2q

as?

E

(38)

- -9-

I%*

201

AC I B D

9

A)

qg

ABCDollAj m = x c m , 0181

sea

0183

s e a

9- I $ l q -1F7,Fg ABCDoll-1j f

qq-$01

451.3

q,

x2+y2q

a

+%

+wl*.

C 0185

ee@

9-

201

OABCD

q

7

qq401

4

Oqhj *51.

q-3

AB=3J10,

BC=

15,

(39)

SSEN

~ B W I

. A

0186

m

i

2-

3"d Go]

q A F q g

ABCDq

-1LHqO-113 4

P7F

%q.

AP=5 cm,

B P = 4

cm, -=3cm%

q,

DPq

-101+?

q -147) 7

1

F

q

60m, x m , ad m

20m, 10J15m% q , 7FSol7F

BZqlAj

SH&Fccl 4 k m z

3wj

50lEl7fx17k

q1

S

%4k;(l

+SF

ccl

*.

B, Y AB, AC, B C S X E S Z Zki 9 34 901s ?'?' Sl, Sz, S30121

a,

S3=S1+Sz

(40)

0193 9-

3 9 s

==

12 cm, - BC=13cm, ,LA=90°9

4

7

,

F

@qpg ABCq

9%

qSL?jZ

q+

Aj1

*gg 33

go]+.

01 q

q%J3

*q

go]&? 2-

201

,LA=90°9 q7,Fo]+tJ+jpqpg B C q

9

g

7 , 5 A

g

q, q%J@

*q

$015 ?5) 20cm

"I.

0195 @@@ 9-

3 9 4 201

,LA=90°9 qqp@qpg ABCq Aj1

9%

~ 1 %

L?jZ Z k All

934

3aq.

A B = 1 5 c m 0 ] ~ ,

433

+!$q

9017) 60 cm"

"?.,

BCq

-101&?

(41)

0200

0% 36% %S 03

9-

1 g q

201

L C = ~ O O

9

47,1-.',F%1-3

ABCqAj

ABlCH%

q,

x - y q

as

(42)
(43)
(44)
(45)
(46)
(47)
(48)
(49)
(50)
(51)
(52)
(53)
(54)
(55)
(56)
(57)
(58)
(59)
(60)
(61)
(62)
(63)
(64)
(65)
(66)
(67)
(68)
(69)
(70)
(71)
(72)
(73)
(74)
(75)
(76)
(77)
(78)
(79)
(80)
(81)
(82)
(83)
(84)
(85)
(86)
(87)
(88)
(89)
(90)
(91)
(92)
(93)
(94)
(95)
(96)
(97)
(98)
(99)
(100)
(101)
(102)
(103)
(104)
(105)
(106)
(107)
(108)
(109)
(110)
(111)
(112)
(113)
(114)
(115)
(116)
(117)
(118)
(119)
(120)
(121)
(122)
(123)
(124)
(125)
(126)
(127)
(128)
(129)
(130)
(131)
(132)
(133)
(134)
(135)
(136)
(137)
(138)
(139)
(140)
(141)
(142)
(143)
(144)
(145)
(146)
(147)
(148)
(149)
(150)
(151)
(152)
(153)
(154)
(155)
(156)
(157)
(158)
(159)
(160)
(161)
(162)
(163)
(164)
(165)
(166)
(167)
(168)
(169)
(170)
(171)
(172)
(173)
(174)
(175)
(176)
(177)
(178)
(179)
(180)
(181)
(182)
(183)
(184)
(185)
(186)
(187)
(188)
(189)
(190)
(191)
(192)
(193)
(194)
(195)
(196)
(197)
(198)
(199)
(200)

수치

Updating...

참조

Updating...

관련 주제 :