数学BS7年级上册解析册_25秋《53同步》初中系列_26版《53同步》七上各科_2026五三同步七上数学

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m
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~o 00 1±1
ffi 8'9 ;* m - J:. 1ft f t ffe ,
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c
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b < - a , J.1IOOPI1~*ffe a
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+(
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0,§rVJ ,F,)rVJ =[(-4; H-3-rn+-H-2+)
x = ± 3 , y = 5 x + y = 2 8. C.
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4 4 ·
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~t~~r 2,JJ!tl~ 9 1 ' - f i ~ f l l m j J 2 + 2 + 2 = 6 .
= 1 + 9 8 + ( - 9 8 ) + ( - 3 ) + ( - 3 ) + ( - 9 2 ) + 9 7 = 0 .
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¥IJ
§r
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imE1 f[Il~B~11m*~-~
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at).
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-t-:JJa~~it ,m=,imm-t-:JJa~~%.ii~fil
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4.WHfr C
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m~ttVrfi1t1il"Tm-it~~ili:&:ttt!a~wJti 3-=f*~-
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] + [ ( +s + +
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::: ( - 10) +0 = - 10. 1-41+1+31+1-31=8+6+3+7+8+4+9+4+3+3=55(-=f*).
+(-~)+(-+) ttJJili1t~~U~~B1L~i§~1g
8 : 0 0 - 9 : 15 55
13) ++(-:)+; §rL2,{_tlp
f : } f (
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JC).
130(
~:ttVili1ftLtlf ~j¾t&A 5G.
8 : 0 0 - 9 : 1 5 130
~ f H11ft
9.NHfr C
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4
7
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2
= - 5 1 + 1 4 = - 3 7 .
1 -
JG).
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(2)3 ~+~H-;)+2:
2
~ , ~;l?H1HiJ~flJ
456 f t .
=(3 ~-~)+(;+2 !)=3+3=6.
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3
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EEJJ®I~,1~
2. D 1 5 0 - ( - 1 8 0 ) = 1 5 0 + 1 8 0 = 3 3 0 ( ° C ) , t i J
(4)(-3 !)-(-2 !)-(-1 !)-(+1.75)
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( 2 )
3
=h~)+(-1~h 2=- ~.
+
= - 2 + 1 = - l .
(5); l-(+2 ~)-(-2.75)
( 3 ) 1 * A = 1 0 + ( - 8 ) + 6 + ( - 4 ) ~
= ( 1 0 + 6 ) +[ ( - 8 ) + ( - 4 ) ] = 16+( - 1 2 ) = 4.
2 1 1 2 ( 1 1 )
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2 3
=[( -3 !)+7 ! ]+[2 ! +(-2.75)]
= 5 - l = - 5 ·
~ j J f l f t
= 4 + 0 = 4 .
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A B ~ ~ - 3 7 - ( - 1 2 9 . 8 ) = - 3 7 + 1 2 9 . 8 =
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a
9 2 . 8 ( * ) ,
t~xfffiji1J\~~JJl!~,EJrVJ
a= l , b = - 1 , c = O .
C B ~ ~ - 7 1 . 3 - ( - 1 2 9 . 8 ) = -71.3+ 1 2 9 . 8 = 5 8 . 5 ( * ) ,
~t~
i t i ~
JJ!tl
a+c-b = l + 0 - ( - 1 ) = 1 +0+ 1 = 2.
B.
~ittm
A C ~ ~ - 3 7 - ( - 7 1 . 3 ) = - 3 7 + 7 1 . 3 = 3 4 . 3 ( * ) .
~t~
!EI,1:1VR~JJI!~ ~,~~JJ¥:,~~RE~tJ
5. B 4
m
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~ t i
K i t , .EL 1£1*-,~ 1Dm , EJr VJ
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m
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a , b a+b=O.
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5.A
EJr~ itr.t~
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B.
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~
f H f
a = - 3 , b = O , c = - 2 .
FffVJ
a - b + c = - 3 - 0 + ( - 2 ) = - 5 . t i J : ® A.
2 1
6.JM.fr (
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l ) ( D I 6 - 5 . ( 2 ) 3 - 6 ' @ 1 T - 3 ~ 1 4 .
6.B XVl~~4l'fi=i J ~ , b < 0 < a , b - a < O , a - b
l b l > l a l
t J ~
>O>a+b. tJCD@iET!ffl. B.
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- JHJtfJG
1 1 1 1 1 1 1 1
3
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ffilHJr ( i l ff!¥ :
+ +
l . 1 ) 7. I - 3 - 1 I 14-11 = 4 3 = 7.
1 1 1 1 508
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+ JiJr =
( 2) @ ~ I 2 I I 5 - 2 I = 6 , I 2 I 3 6 , § r
a - a -
2 033 - 2 034 = 2 - 2 034 = l 017'
=3,lfrVJ
a - 2 = ± 3 . E f r ~ a=5
l a - 2 1 9,X:-1.
I)),~ntm,~~~a~@m
s
ffi itB1 =- =
a .l , d 2 A,J , a+ b = - I - 5 = - 6 .
~
a = 2 , cl= - 1 U,J , a+ b = 2 - 5 = - 3.
~
lf-:-_-t' -A..; ( . ~,
T,tJJ
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fil:JtJ-j ~
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n
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Im : £
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( 2 ) J : j * ~ O r :
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1 ' :
l i :
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;,j(.1.tl:. 3l:.1t +3.1 - 1 . 8 - 4 . 6 +2.4 +5.1 - 1 . 5 - 3 . 5
£AA=:
£ A A - : 1 6 0 + 3 0 = 1 9 0 ( ~ 1 . f t ) , 1 9 0 - 2 0 = 110 uz
J: - AA s
s
;J<
B'j
£
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11
3 4 . 8 ( * ) .
• 1 1 ) ,
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1 8 5 - 5 = 180( . { . f t ) .
~ ~ ~ J : - ~ M s f f l ~ , ~ - ~ m s ~ * W * m ¾ ~
flr~~AA=t&~ffii{~. ii-9:m A.
~ T , ~ ~ T 0 . 8 * .
2. ~ ~
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1 ) - 1 . 6 - 4 - 5 + 2 + 5 - 3 + a =
=
mtJ~~::f-t~~Eit!t<
~ 1 i L : k g ) P J ~ i c j . ] + 3 , - 1 , + 1 , 0 ,
P]"q!j 1+ a = 0 , E f r ~ a = - l .
- 2 , + 2 , - 3 , + l .
Wfff¥ ,m=?k
c 2 ) J ; b * B : · : m - ? k +6 + 6 - 4 = + 2 ,
= =
( 2 ) 3 - ( - 3 ) = 3 + 3 = 6 ( kg) .
, m im?k:
m ~ ? k : + 2 - 5 = - 3 - 3 + 2 = - 1 , m : n . i k : - 1 +5
~1-t~ ,Eli!tii~B9~1W:!t!i:J>~ffl~
9=l
~ : : ( £ ~ 8 6 kg.
= + 4 , m / \ ? k : 4 - 3 = + 1 , m - 1 : ; ? k : 1 - 1 =o.
( 3 ) 5 0 x 8 + ( 3 - 1 + 1 + 0 - 2 + 2 - 3 + 1 ) = 400+ 1 401 ( k g ) .
=
J 9 r ~ ~ n * ? k ~ • • * m ~ ~ w • ~ ~ T ~ ~ B : ~
~ 1 - t ~ -~,J.m:!t¾
~ : 8 401 kg.
~ ~
( 3 ) 1 + 6 1 + 1 - 4 1 + 1 - 5 1 + 1 + 2 1 + 1 + 5 1 + 1 - 3 1 + 1 - 1 1
!- (
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ft~).
6 + 4 + 5 + 2 + 5 + 3 + 1 = 26(
=
4.JHfr
I + 7 ) + (
! ] \ ~ :
2 6 x 3 = 7 8 ( ? } # ) .
! ,
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) + s - ( +6)=
? t # .
- ~ , ~ j . J 78
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12;17'1-8>-8
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3 . ( 1 ) 7 ( 2 ) 16
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$
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Jft,W
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5 + 7 + 1 6 ) - ( 7 + 8 + 9 + 4 + 3 + 5 ) = 4 3 - 3 6 = 7 .
1-t~fiJ][MtJc
IAJ ~ -
(2)*11Jm~qf
.A).
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00, ~pg lfflJ:~ s ~a1a~1g ~ r l l l J : ~ s ! I t ~ ~
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L A . ( - 2 ) x ( - 3 ) =
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$'.JJJHtWiE-li.ffl, 1ffir»!:t!;
x ( =
B. ( - ) - 6 ) 3 ,
10,i!&MHtm.:tif~,7G~-frl)JL~;
0JjrVJillfDI C . ( - 5 ) x ( - 2 ) =
4 , J l t b l ~ J f
~ J g - I + 2 - 3 + 4 - 5 + 6 ~ 7 + 8 == ~~
z m m
s -t-f·~ffii,!, ~ ~ i t i 1 l ~ .
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ff,J 4 f11 ,1q 2. b = 2 -
~~~ ~
i ' Elr
1'1
~11-J lJl ff!~, P.l ii: ~ I ~ ~ - - ·
. C El~ IE -- ·
- 6 - ( - 7 ) = - 5 , J ! f r V J . c = 2 - 4 - 6 - ( - 5 ) = - 3 . ~ -~ ~
frt. l~IJ1't1f"J(.1~;¥n-J-1ff!~ fA ~iili C.
,Nrl1
0r T 1'- J9 - ~R{J~x~J{j_;tJ(.
VJ.
(JI.Jim ~ 1 t1l 2.
?-W'l3.mtJr ( 14.WHJr
30 x 4 7 + 7 x 3 + 6 x 2 + 3 x 1 + 5 x 0 + 4 x ( - 1 ) + 5 x
1 ) ( - 7 . 6 ) X0. 5 = - ( 7.6X0. 5 ) = - 3.8.
(2) (-3+H-n=; =I.
1 1
( - 2 ) = 4 10 + 22 = 43 2 ( 7G ) .
x ~
-+ 1 43 2 - 3 0X 32 = 472 ( 7G ) .
(-+)
FJTLl-l it~~ ~ m ~ 1 i 1£~ 14 ~ ~ m m , ~ T
j e ~
3o
fill:¼/ (
4. A - 3 ) = 1, Jj/f P,,\ - 3 ( l g f i j ~ ~ iv(
X
7G.
472
zA.
ltffffHft
s.o
~Jiuif&¾
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1-31 3 ,3 1-31
= E19fftl~¾_!__,FJTLV-
15.NHJr C ) * r ! x ~ 1 * ;* ¥ ! 5Hfc~$.
1
3
( 2 ) ( - 5 ) x ( - 2 ) + ( - 5 ) x 2
= ( - 5 ) x [ ( - 2 ) + 2 ]
= ( - 5 ) x 0 = 0 .
*-
rw
MJfJt
! i j ( - 2 )
FJTLV-(-5) x ( - 2 ) + ( - 5 ) x 2 = 0 , ( - 5 )
JG#f
, t ~ 1~] ~ , Jt:.1t la f t ~ -HJ~, i f f t ~
~~ ~ al.J
toe 89f/qKJg~§N~.
- 5 ) !ij 2
Pf, : t
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X ~ t f l p
ii-
~ j g ( - 5 ) X2= ( - 5 ) + ( - 5 ) = - 1 0 , F J T 1 2 , ( ( - 5 ) X ( - 2 )
1~J4ia~ i1Jfr4tt-rf~if:ro ,o ).t;t1~1a.
~
= - ( - 1 0 ) = 10.
00,J~¾ 801itl~¾-l & ~ J t l ~ , fmltt
6. C 1 1 , - 1 , 0
ffi ~ I l ~ B ~ * i ! ~ ~ ~
ilB1
2
i~m c.
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Wil FJr iE
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A - 5 ) x ( - 6 ) x 3 x ( - 2 ) i:p~.=::
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1. C (
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X (
1'-ffJ. , ffJ. ,
FJr ::f
1g B ~,@-J]t~ ; C. ( -
LV- lJl t ~ JJ! 2 )
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~
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A.
LV-l/q7'10, D Jff!::f~-@-®t~. t ~ m
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JL1'-~1IU~,
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1 ) ( - 25 ) x ( - 87 ) x ( - 4 ) = ( - 87 ) x [ ( - 25 ) x
*-·
o, Yl ll51 -t-~,
;t.,rf , * r.jtJtiHm
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al.J
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~ ~
(2)-10ox(t - -o.
+
0
3 ) 4 3 4
NHfi - -
x 5 x - x 2 = - - x - x 5 x 2 = - 1 0
(
4 3 4 3 .
3 1 1
2
l
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1) (- ; )x sx(- : ) =+ (; xsx : )= ~ .
5
10 2
10.$ ¥ ~ (
= - 3 0 + 5 0 - 2 0 + 1 0 = 10.
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J.1;#1;) * 5 ! ~ ~ ~ , ~~-8-~a9ruZJf.H~G
6
= 300.
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tif:m-*-,
liJ
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al.J YA
ti]'"
(-2-)
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15
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11 . B jg I. 1 ~ - J f J ~ )
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z
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aJ.i 1fr 1aJ
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B.
2
(-9 (-9-_2_)
-2._)
5.JHfr ( X_!_::: XJ_
l±I JM.t\l 1 )
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9 9
10 10
m
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= 11 3 ) 11 3 ) + 1 33 1 32. i ~ D.
X ( -
1 9 1 1 1
= - 9 X - -- X- = - l -- = - l -
13.~ ~ 75 ; - 3 0
9 10 9 10 10·
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x ( - x
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J f t j c a{] 7 5 , 1j,
X} _ ( -_!_) X} _ X} _ !_ X
J_
+
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( - 5) - 3) - 2) 30.
= -
X ( X ( 8 25 8 25 4 25 25
m
tJJi:r~ # t 1Fm ..t BH ~tUffl:*:Jt&36
l
l
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= = =
ti!i
=
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8 8 4 ) 25 4 4 25 25.
2 3 6 6 6 5 5 '
ffii9!;
ffl~ ;
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x ( -
ic
6 · C 175} j.J ( - 2 023 ) 100 89 ti[ -jg p , Pfi ~ ( - 2 023 )
X X
1
5 , $ IEflffJ.$~
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X X 2
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r~ ~rJJ! !~ ~
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X ( X ( X ( X ( -
25
25
25
1 4
.
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d.ffi¥f/r (1)(-5
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6
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1
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8 3 2 7 4 .
2 2 .
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~ ~ ~1ft
8 4 2 5 4 .
3 5 7 21 2 4 6 20
<w
± _
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8 .mq:,r}r
1 * A - - X - X - X · · · X - X - X - X - X · · · X -
2 4 6 20 3 5 7 21
3 7 4 1 14
21 2
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= ( 2 - x ~ ) x ( 2 - x _ i _ ) x ( 2 - x ~ ) x .. , x ( x 0 )
5 2 5 25·
3
2 3 4 5 6 7 20 21
s. wwr
c
= 1 x 1 x 1 x .. -x1 = 1. 1)CD.
,m r~Bffi
~1tfj~a~a9mzmi~rs
( 2 ) ( - 4 8 ) + 3 6 x ( - I . ) =-48x_!_x(-_!_) = ~
9 36 9
21·
fm~ (
t ~ h l l f l
1. 1 ) ( - 3 6 ) ( - ~ + _ ! _ _ 2 _ )
X
3 4 6
2 1 5 at»l.tfJ{j.
6. D * = 12+(2-+_!__2_) = 1 2 x 2 . = 30
=-
x ( - 3 6 ) + x ( - 3 6 ) - x ( - 3 6 )
5 2 10 2 .
3 4 6
1-t~1¥.JJJl¾
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= 2 4 - 9 + 3 0 = 4 5 .
=4,
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,Bli'IV.
7.B !El:3/,
l x l l y l = x = ± 4 , y = ±~ .
( 2 ) ( - ~ ) x ( - _ i _ ) - ( - . ! ) x 2 4 = . ! + ~ x 2 4
5 5 25 25 25
~ ~
!El:3/,
8 8
xy<O,Bli'IV. x = 4 , y = - x = - 4 , y = ~ .
+
= X (1 2 4 ) = X25 = 8.
25 25
m~-~=-s.t&~
B.
71 (100-__!_)
2.NHfr
99 x ( - 3 6 ) = x ( - 3 6 ) = - 3 600+_!_
y
72 72 2
A.(2+7)-(-~)=9+~=9+.
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599 ~ .
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ffi ~!l~B9~~j!
imB1
3
-(-_!_)
c. (
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~ iJ ~ ~ 3 7 3 21 21 21 ·
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+
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<
1. 0
D.(2-7) +(-+) =-5x( -3)= 15.
H-:) H- ~)
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lzU,1 _!_>~
15> 14 _!_>9
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A liW ·rli! •
4 4 4 8 ' r
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rfc. ~-- '83 ~ f a j i 41'" 1§~ , iiJ T EJ'~~R. 7G.T.E rif@.
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4
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2. B - 2 4 1 ' ° 2
B.
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10.~ ~ - 3
~
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3 . A iz;f:3/93 = 9 . c r = . ( - 1) < 1
~tfr
1 1 5 0 - 1 5 0 X 0 . 6 = - 3 ( ° C ) .
3
,FJr~1jl-1f:i:j(Ef9~¾ i!iJl:m
100
<4<9 3. A.
1) 1
?,Jrk,(Jlta1LIJID!B9~rlfil~:3/g-3 °C. 5
(
3 2 2
4 B = 8 > 0 - - = - - <0 - 5 = - 2 5 < 0 + 1
r+P-h 2 m
2 32 ' '
. ~ / ' J '
11 .~ffr (
1 ) ~ A : 8 9 f i t l ~ j g ( ~ + ~ - _ i _ J 7 ( - I _ J
m
27 3 9 54 ,FJT~ 1:1:~$m_tFJrxt 89 tf.-JE1£m{g-;f:;Jtl a<J~
>0
+!-:)x(-54)
=(;
'iiJcm
7 3 2
2 , m + 1 , ~ 21--
B.
2 4
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5 2 4
4 4
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= x ( - 5 4 ) + x ( - 5 4 ) - x ( - 5 4 )
3 9
27
=- =-
5
)5
C ]1Ji , - 5 3 125 , ( - 5 3 125 , * f f l ;
~ ~
= - 1 0 - 3 6 + 2 4 = - 2 2 .
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23 - ~
tffi
± h ~
D 3 - 2 7 ' 3 - 3 C.
:!,I,_'
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22
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cm ~1J\F!f3 09jr~#1:JJ) fo)f
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8
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~
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fHfr 89fftlff~
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2 J 27
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3 It
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r
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X : X :
2 XL~ 3
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12. 1) iz;f :3/9 2 6 ( - 3) = ) 6 ,
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2
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6 x 4
l 999 - ( 2 000
lfr!V.
2 ~ ( - 3 ) ~ 4 = 6 ~ 4 = 6+4 =2.4. ! ,
*
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tlli T .tit at ~ f f l l l i T J'!Ll!
8. C - 17(.~
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*
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m ;
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rn c c-
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·•···· ,Eli't;J.~
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m ,
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1
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9. ~ ~ 6 561
~Jttl~-~
1.8 2 s ¾ 5 ~ 2 t § * , i ; j : l f - J a { J x m / 4 t : ~ .IEfVti. NM.Fr JC r:p B<J
4 =
9 x 9 x 9 x 9 = 9 6 561 ( ~ ) .
J
3 3
3 27 ( 3 ) 27
- 4 -4
= - 64'~*:f~ftil,~Z~JXML~~ ff~httlft
= - 6 4 '
(
10. B 2 024 = l 024+5 12 + 25 6 + 1 2 8 + 6 4 + 3 2 + 8 = 1 x i1°
j f.frffJ.
>
00
w
:r
c- at rvo.
4 11M& ~ - tiHtx3i! r.& x!ll~ iE 9 + 1+ 7 6 + x 25 4 3 1
3 ) 1 3 , 4 , + 1 X2 I x i l x 2 + 1 X2 1 +Ox2 + 1 x 2 + 0 x 2 +1
0 x 2 + 0 x 2 ° = 11111101000(
).
2
*~ +il(l1W l& ~ -=1t1:1ttU-Fs<J+ - ·1ft~. t i t ~
Jifi
2 024 B.
k)
l 'i . 2'
1 )
n ; .i -
iwr rx,:rr ~tJrm
r
m,r~- 1
IEl11M11T
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- I
L ~~
2
2 - l ;
x t t f r 3 ~ 1 f r m , 3 = 2
NHJr
2
fz5Jjg(a-5) = 0 ,
+1b+41
t X , ~
3
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:rr
rx,
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4
xt1TT 4 15 ~ 1 1 r * , 15 = 2 1 ;
-
2 2
E]rL2,l 3 a - b = 3 x 5 - ( - 4 ) = - 1 .
.N Hfr
t.J
2
~ 1 2 a - b 1 _ !:ij ( b - 1 ) I I . 1 - J t § J i ~ ,
§rl-2J.xt1fr n i X , : r f ( 2 n - 1 ) ~ 1 f r m ,
ElrkA
m
1 2 a - b l + ( b - 1 ) 2 = 0 .
rx, ey 1i
~1 2 034
<
:xtm: 2 034 L2,{ ¥IJ 2 - 1 ) ~ 1 1 r m .
r
m ~ = l x t f f r rx,~~I£Jt5J'.jg $ % ,11rm~1g
1 2 2 - Mi'~
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1 ;xtffr i k , ~ ~ J t % j g $ % ,11rm~1'14-
1 = 2 - 1 2 4
J
3
1
27
2 ;xtifr ik,~~I£Jt%jg $ % ,11rm~1'18-
)3
1 = 2 - 1 3 8 §rl,2,{ ( a+b = 1 + 2 = s ·
(
iX' 1frm~-Jg
3
2n
1 = 2 - 1 ; . . . . . . ' § r L2,l:Xt1fr n - 1 . § r L2,{
ik, ey ~11rm.
2 034
<
:xt11r 2 034 L2,llf¥IJ 2 1 )
-
)if
{jt
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L C C.
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1
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( 1 ) 3 2 ; 3 2 · 2 . C 2 . 4 4 x l 06 * = 2 440 o o o * , i ! i ~ ~ C.
W~:~7-J~OOq:ti£jfJ{6gf£Jts'-JJLIKjg 1,EJrl,2,{i£7J I 6 ,J!i~~
J . C
800 7 J = 8 000 0 0 0 = 8 X l 0 C.
%~}4-E'-Jffi~jg ~7.K
lzsI 11
4 . C
1. j g 8.155 5 x 10 139Jg:~1-J 815 550 000 000,
f51jg$%CDE'-Jffi1Jl¾u2K1'1 E'-JiE7J%~Jtl39ffifJ{
l C.
§rl,2,{Jg:~i=p"O" 139'1'~7-J 7 . i ! i ~ ~
5
m 1 3.7Xl0
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1 3 9 - - * , L2,l -
NHfr
2 2 6 2
6. ( 1 ) 9 600 000 km = 9 . 6 x 10 km
•
1 11
1 10
( 2 ) 000 1Z = 1 X
~ •
$ % ® E'-J ffi fJl $ % ® E'-J 00 fJt~
fAJ J:I ,
j g - ; - = 4 , =
2 2
11
10
4 ooo { Z = 4 x
•
~ E'-J 00 _2___
fJlj.;
n . @
_2__ •• • • •• _2__ =
~ j J f l f u
8 ' ' 2 32
5
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13
7. B 10.6 J H Z = l . 0 6 x l 0 . i o ( ~ B.
:2°
~ ~ ~
HII :5t HII :5t@
flJI i0 ffii i0 ffiifJlffl ,
.!,; -J.J
EBJlPi~,1i
17 18
S.D .io(Jl] D.
m = 4 X l 0 X 5 = 2 x l 0
3
9. ~ ~
8 x l 0
m
lit PI 1f _2__+_2__+_2__+_2__+_2__ _2__
= 1 _ = ~ -
NHJr
2 3 4 5 5 5 3
2 2 2 2 2 2 32
2 X l 0 + 2 5 = 2 0 0 000+25=8 0 0 0 = 8 X l 0
•
tiuoo
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< EJr im 3
( 2 )
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1
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2
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~ ~ m I - 1 ' - ~ ~ ~ 2 ~ n ) = - 3
**~~-
~i=pfi"
3 + 2 ( n - 1 ) = 2 n + l
1lc.~~~11i.,
, : l - i i . ~ · ~
~ ~-Et~~~~~
~i!J.S.11~/:iJI
14 . h +an
~~
i..~'11$-#-~ 3fl ½ , Jl. ~ ~ A ¼ ~ , i ; l l
;t- ~ - l - i i . ~ 1;
H=*F
WH.fr 1I1Jiti&:~ ,~liF~~1£-®J§B'~,~~J.t
m- ~ ~ ~ u ; f t ½ .
-1- JrHm fF i l l ~ Jii a-q +*FT ~ i i
¥1J
iWJj h n ~ ~ a ' {!fr
X
IV,
H=h+an.
2
1 1 ( b ) 3
M*C:. ( 2
j l ) a b - - 1 T b 2 = a b - - 1 T b .
·ltl'FTII - - ' T T -
(::;f;
4 2 2 8
. 5. 2 , 1 ,
~ I P Tr - Tr )
- : ! - ~ 4 tl 2 !
~ u · ·-·
r( o
*'·
~ -rrb')
:tilLl::.li~fli'J<J~lt!!.tl<JimfR:ti(ab-3.*~
)2
( 2 ) 25 I 8 I 0 , 25 , 8.
j g ( a - + b - = Jijr a = b =
~ ~ - 20
ffilHfr 1291'1 1 ~ ~ A 3
3 3
~ x = l B t , px +qx+ l B'-J{ajg 22,
2 2
a b - - '1Tb = 2 5 x8 - - X3X8 128(:?!e).
=
~ ~
8 8
3i"~
= 2 2 , F R ~
p + q + l p + q = 2 l .
7G) .
128 100 = 12 800 (
Efr
X 3
x = - 1 Bt , p x +qx+ I = - p - q + 1 = - ( p + q ) + 1
~ ~
5t.
: ~ ~ l i * J : : f i s { ] , ~ , ~ f f l r g : 1 9 12 800
~
= - 2 1 + 1 = - 2 0 .
f~h ffift
st , at
2 19 2
A i=p , sMg; r £ = 10 = 100 , .llt ;it:
n n 2 , n n
~
~idl»~
,FR~ a{]ffi~Wff~jc, 51c
1lli~As{]ffitf51J\-~f 100 rut[~
n
*-BJ:
~lHR, lft~!R
iiJc~
~ : t i 2 1. B i f l J J J ! A ¾ ~ B'-J B " J - 1 ' - ~ s x - 1 -
100 a{]}& A. ~
n
,
*
2
10 . C EB~OOAJ1t1~r£A19 2x - 4 ,
HJ:-tiL¾ lf'.JJJ! A ,
¥f x= 2x -4,1~ 2
2 2
1 { ~ A 1 ~ r £ A 2Xl - 4 = - 2 < 0 . 6
tJc~
2 ,t,
Efr~¾lf'.JJJ!AB9~ 2 x - 3 4 1 ' - , B.
m
, , ~
¥f x=-21~A1~r£A
2x 2 - 4 , 1 ~ 2 x ( - 2 ) 2 - 4 = 4 > 0 , ~ 'TT
3
tB~*
tJc~ 2. C A.lf'.JJJ!A 5a b s{]V"(~¾ 4 , A ; f ~ % ~ ~ ;
,FR~ ~
C.
y = 4 .
A iX~ tJc t 4 ¾ ~ ~ ;
EB~~ ,1 t [ 2 J + tJc B. lf'.JJJ! 3 2 a 2 b 8"1 ¾ 3 , B ; f
11 . B 2x 3 + ( - 2 ) 2 = 5 , B.
~
t - f k » ! ~ ;
2 3
C.if1.JJJ!A-a b s { ] { k ~ ¾ 5 , i t t C
~~~=~~ M~~-~~-~~~~~~~,¾-ffe~
!Jez
2 3
D.9a +b ;f:J&lf'.JJJ!A, i t t D ; f ~ % » ! ~ . C.
r -
-~.Ai
M-~ Ufi , 1t-iltAt ffe. ~ M l t:e 1~ 4&.A
i 1J f
~~ 1 ~
! !
2
5
. 2x+y2
y2
2 ,iX~;lll:
~ * ~ ; l l ! ; -
3. A ~:1Jnj.l'.;- ~ y , l!P- 3 ,
-a x y
: h - -
.::f:
El T7ri 2 x + -
~
2 ' 2 .
i t t ~ A.
~#mm
4.~ ~ 3
st, Mtfr 2 a{]m~¾
12.Mtfr if1.JJJ!A-3ab i=p, a s{]:rg;~¾ 1 , b 2,
= 100
( 1 ) x
~
Efr
; J ~ - : 1 0 0 x 5 0 0 = 5 0 0 0 0 ( j c ) , ~.lltlf!.JJJ!AB97k~j; 1 +2 = 3.
J
1 J ~ = :
2
100x80%x( 500+ 160) = 52 800( j c ) .
·
s.Mtfr ( d 5 2
1) 10 • h = 1Td h.
'TT
( 2 2
1291-.150
000<52 8 0 0 , F R ~ ~ ~ ; J ~ - : 1 G t l • .
( 2 ) x>lO0 S t ,
~
~
Blf 101'~~-f*ilfil;j,f~,~,f*f,R7'J 2 3
7rd h
12,( cm
•
; J ~ - : 1 0 0 x 5 0 0 + 1 6 0 x ( x - 1 0 0 ) = ( 160x+34 000)7C,
: 1 J ~ - = : ( 100x500+160x) x80%= ( 128x+40 0 0 0 ) j c .
~
;ll!;~JJnA, *~;ll!; iX~¾
( 2 ) 3.
7r,
~ : x > l 0 0 S t , ; J ~ - , ; J ~ - = s { ] l f f t f f i J t § j t l 1 - . J ( 160x
~
2
6. C ¾ - { k - = J J J ! A , ¾-tiz.=.J.YlA .,x
x - y x + y + 2 - 2 x y
7G, ( 7G.
+ 000) 128x+40 000)
34
c c m ,
at , +y2 3 -y3
¾-=tk-=-JJJ!A ,x ¾-=. {k-=JJJ!~.t i t t ~ c.
300 EB 2)
3 ) =
~ x ~
croc
4 2 2 2 2
CDrtt:1J~-WJ~s{]Jfftfflj; 1rox3oo+ 34 c m = 82 5 t ) . 7. D A.~JJJ!A a - 2 a b+b fm-=.7XJJJ!¾-2a b, - 2 a b 1¥.J
~;J~=WJ~EJ{]Jfftffij_; 128X300+40 CXX)=78 400(7C). * ~ 1 - . J - 2 , i t t ~ J _ m A ~ ~ ;
rem
(P]at~
* 1 1 ' 0 * , ffl~;
4 2 2
® 5 ' c * : 1 J ~ - W J ~ 100 100 B.~JJJ!A a - 2 a b+b ¾Imtiz-=.JJJ!A, iiJc~JJJ! B
r , re~r,
-1'frtt:1J~-=WJ~ 200 '~~JJJ! ffi~;
4 2 2
c.~J.WA a - 2 a b+b ~1:i'lft~JJJ! C
,~,~)=§jg 100x500+160x200x80%=75 600(7C).
4 2 2 4 iE
D.~JJJ!A - 2 a b+b s { ] ! i ~ r k J J J ! ¾ io(~J]i! D
a a
,
1-.J 82 000> 78 400> 75 600,
~ iiJc~
1ifo.
D.
* 1 1 ' 0 * ,
3T"
~ , ' c r ! i ; J ~ - W ; J ~ 100 (Pjf.Jt~ 1 0 0 1 ~ ~
-=f
, -f l H J t : 1 J ~ = W J ~ 2001Ef~FfN!~--~-
'1T
1 2
J+111-l,..sl~rx~~x~
2
- - x - -
X ~J.l-u.EOC >-JJ-! -
3 3 3 ' 3 '
3
2
1 . 0 IEJ:192a
+ b = 4 ,
'iit~JJn¾-:.
2 2
3 - 4 a - 2 b = 3 - 2 ( 2 a +b)= 3 - 2 X 4 = - 5 . t J c m D.
Ffrl,V,
2.~ ~ l I
J»lfif}D +
~ t * A
tf1 -f
~ ~ ~ ~ f5J $,
i ( . J l . J L i(. #) ,
ffilHfr
lEL1g 2 2 J~
a - 2 a - 5 =0,lfrk.,( a - 2 a = 5 .
i \ e ~ ~ , - t ~ 1 t / a l t i ~ d \ . ~ ~ ~ ~ ~ -
y t j } J _ ~ J
EJr ~ ~
2 2
2( - 2 a ) 1 = 2 x 5 + 1 = 1 1 .
J;J, 2a - 4 a + 1 = a ++ +,
,~~gx;~~t:t1*BJ~~a~
" m:trr
~~~
1flm B<J . H l t ?XJ& : f i H a<i ,
al
( I ) Jyj. Jfic - a
ijJHi ( fB ll1 )
* ~ t & - 1
'{'jcif&~ 1.
- 1
L ~~
2 8 9 - * ~ ¾ - 1 , t'k~¾ EI~*~
( 2) ~---:=?. Jj!. 2. _ 2 _ x y ~tfr
- x ~j.J~JffiA ¾ * T
1
2x a - 3 ) x + 7 (r~_=.{k
x
a-ll _ (
7
.=Jffij:\'
*
~
ri:.~:fl! li<J ~::fl! ri:.~:fl!
:fl!- , y'
2. 2 2 , 2.
~ o , - 1 t
Elf-~
l a - 1 1 = 2 , H - ( a - 3 ) a = - 1 .
/a
2.~ffr f t k * T
.fHfr ( 2 1 !Wlmt(lflJ_yfj:t;,
2 2 3 4 l z s l j . ) ( a - 2 ) x x , y
I )6+ab - 2 a b - 5 a b.
Elf-~
2 3 2 4 l a l = 2 , . § . a - 2 # 0 , E f r ~ a = - 2 .
( 2 ) - 2 a b +ab - 5 a b+6.
JIJr~ 2 2
a +3a+6= ( - 2 ) + 3 x ( - 2 ) +6=4.
4
¾ ~ A ® -
»! ~ f f
1 ·· , C Q ) ~ · · '6"8y~
i:f=t ' 2 ' x + y · + 2 x -
50 ' ~ 3 '
'1T ' '-W
fflitB9hm~
2
--t.
4 C.
l . ~ * z
ffi
iJB1
1
~t=f:(Et]~I~
w~ffl~)
A-=r~
¼ ~ -1-Hra'-J ~ ¾ ~ A , :Jt.
t 1}--Ht
tf=1
'IT
4 i ' ;f::Jt.-1-EJ:-.
~~n~
LA tHifAJ~:LJfi~~SCaJ*1,3ab 3 3 !WfAJ~:LJ,i.
ab
~ ~
m:tfr
2
2
12 . ip.JIJ!;a'.; : { - ; a ab 0 ,
m;A.
, 'If , • • • } ;
,
*
m
2 2
ff:l :f§ -Bl: :f§
2 . C A. 2x y x y (A] ~ ~ ~ (A] , ~ ~ fpJ
:-y,--·};
~J1Jl:rl:: { 2
x - 5 x ,
~J,W;
2 ff:l 2 Elr**-BJ:~:f§(A] ,~¾fpj~Jj!;
B.x x z
y
3 4 }
~ A
{ 2 2 2
- - a ab x - 5 x - - y O
J:: • '1T •• •
. 5 ' ' ' 5 ' ' ' .
~it(A]~:LJfiiW~Jl ,¾fAJ~:LJfi;
C.2mn fl:I-4nm
~ f l
fl:I Elf-**-81:~ffl (AJ~Jffi.
D. - a b abc fp], * ~ C.
~~
A ~ -
A.lfl)j!j:\-a ~ * ~ ¾ - 1 , i i ~ * ~ ] j ! f f i ~ ; 2 2
2 2 2
- a 3a - - a
7 ' ' 3
ii~*m;Jj!ffi~;
4 ,
B.lfl..Jj!j:\-3abc2
~?X~~
mt
2 3
¾lfl)j!A , ¾ ~ j \ , ii~*m;Jj!ffi~;
C.
2 2
2 2 2
- a 3a - - a .
7 ' ' 3
¾lfil?X.=Jj!j\, ii~*z)j!iE1iJfl. ti~~
2 2 2
D.4a b 3a b+ 1 D.
-
4 . ~ * 9
4 . ~ ~ 5 § x ; - l
NHfr
Ef3(AJ~:LJfi~~j'(1:iJ~
m = 3 , n = 2 ,
NHrr
EffijJ~Jj!j:\ ¾ 3 ' c r !W.=ik=.:i:_v!
2
+7x
xlm-ZI X
ER~
2
mn=3 =9.
3:-t,Efr~
l m - 2 1 = 3 , m - 2 = ± 3 . f f l 1 H i m = 5 ~ - 1 .
1 5 . A 2a+3a= ( 2 + 3 ) a = 5 a , * z A.
rx
5.M:tfr 119
2 2 :fl!/\
J [t5f Jg ~J1Jl:r\'.;-2a bm+I +a b - b' + 5 ~~~itJt-, ti~ ffi~;
6. D A. 2a -E¥i 3b A
2 2 2 ffi~;
B.5b - b =4b * B
,
rffiJ:t ,Yr~ 6,ffHJ
2 + m + l = m = 3.
! 3 2 ~~~itJt-, ti~ ffi~;
C.7x C
.E§-6x
rx rx
a<i ~ -":i i!<: ~ ~ ffl
Jg ip.JlJ! :a'.; b :a'.;
[t5j an J1Jl B<J
iEreffl.ti~~
'If
S-m D D.
D . 2 x y - 2 y x = 0 , ~
3
7/ . ~ ~
5x
y
3
IWJ , E f r ~ n + 5 - m = 6 , f f ¥ H J n = 4 . E } r ~ n"' = 4 =64.
NHfr
3 3 3 3 3
3x y - ( - 2 x y) = 3x y+2x y= 5x y.
f{lHl1Jt
2
S. ~ ~ ( - 2 a b)
ill:~: 1'J J( 2 2 Jrr
16. ~ t r r ( 1) [2s] a , b) = a - 2 a b + b ~ J ( b , ~~fr ffl 1~ :ba lfl ]j! A 1-1 - a 2 2
~ j ] i ~ , ~ ~ b - a b =
,
2 2 2 2
a ) = b - 2 b a + a , f f i ~ J ( a , b ) = J ( b , a ) , J r r ~ J ( a , b ) = - 2 a b, ~ i l ( - 2 a b).
:xf~,$r.MA", ~.fftlHfr (
2 2 2 2
a -2ab+b l ) x y - 3 x 2 y = ( 1 - 3 ) x y = - 2 x 2 y .
~ ' '
~~~Pf£_.).
Wff.f:: ~ / (
+ (
( 2) a+b( a , b ) = a+b A t , / ( b, ( 2 ) 3 a b + 2 m n - 3 a b +4mn = ( 2 m n + 4 m n ) 3 a b - 3 a b )
f:Jr / ( ¾ "
a ) = b + a = f ( a , b ) , ~ a , b ) = a + b ){ij' 1?]\ $ ;im = 6mn.
2 2 2 2
( 3 ) - 5 y x + 4 x y 2 - 2 x y + 6 x y + 2 x y + 5 = ( - 5 y x + 6 x y ) +
~ " ( ~ ~ ~ r l f E - ) .
~-;E.~19'J: /
2 2 2
( 3 ) a ,h) = a+b , / a , b ) = - a - b f ~ ~ ( - 2 x y + 2 x y ) +4xy + 5 = x y+4xy +5.
( (
2
1
"Mf11,~r;n5:t:", mi/ +/ o, 2 2 2 2 2
a ,b) a ,b) = :J.ikl(tJ.Jl!~ , ~ ( 4 ) 1 a b - 3 a b +7+8ab +3a b - 3 - 7 a b = ( 7 a b - 7 a b ) +
(
(
2
1
2 2 2 2 2
M:~Jfli~t. ( 3ci2 b - 3 a b +8a:b + ( 7 - 3 ) = 8ab +4.
)2 7
~ ~ a ~-, 1ti .:re. ( 2 (
¼:Jr
16J v f v:J- M ~ ;.§i ; f j f 1J - ~ , ( 2 ) A = 3x - 2x +3 ) - 2 ( 3x 2 - 2x + 3 ) + 3x 2 - 2x+
~I...IIMi,ll,D!/ 3 3
nuriJ
at
1 t ¼ * ~ ~ #1 ,~UE <i11-f--;-
~ ~ ~ - ii.
~~ ~
J
2
~ 7 t j i } J .
3 ) = ( ! - 2 + ; ( 3 x - 2 x + 3 )
·W HJr (
2 2 2
1 ) 2x 5x +x + 4 x - 3x 2 2
= 3x - 2 x + 3 .
- -
2 2 2
-::: ( 2x +x - 3x + ( - 5 x + 4x ) - 2 = - x - 2. 2 2
(DA
+B = 3x - 2 x +3+ 6x - 4x - 4
)
,~A =- (-2-J-2 =2. -~ =-~
2
= 9x - 6x - l .
~ x=-2- at
3 3 3 3 3 ·
®lzs17'J
A +B= 10 ,
2J
1 2 1 Efr~ 2 2
( 2 ) x 3 - 2x 2 y+ x 3 +3 x 2 y+5xy2+7-5xy2 = ( + x 3 9x - 6x - 1 = l 0 , 9 x - 6x = 11.
3 3 3 3
1 1 1 1
!ir;
I \ f 2 } 2
2 3 2 3x - 2x+- = - ( 9 x - 6 x ) + - = - x l l +- = 4
+ ( - 2 + 3 ) x y + ( 5 - 5 ) x / + 7 = x +x y+7. m
v..A
3 3 3 3 3 .
~ ~ ~
Rf
x = - 2 , y = ' x
,Jllt.1:.t= ( - 2 ) ' + ( - 2 ) +7 = - 8 +
mt~~
~ ~ I ~ ' t l * f f l ~ ~ B 9 ~ { i
2 + 7 = 1.
1. ~ ~
I
9 9 1 11 fHJr
EEJ]trlJlJ¾J
3
3 3 3 ¾IP]~J'_m
2xm+Zyn+l .EJ-xy ,,e}r~ m+
( 3 ) 5 a b - - a b - - a b + - a b - - a b - a b - 5 =
2 4 2 4
fftlHi
2 = 1 , n + l = 3 , m = - 1 , n = 2.
!-
-1Ja'b+(s-
~ ~
M~
2
( - + ~ } b - 5 = - 5 a ' b - 5 . mn= ( - 1 ) = 1.
2. ~ ~
- 1
1*A:
B1 ,
3
a= 1 , b = - 2 = - 5 1 - 2 ) - 5
~ x x (
m~Jr
133fpj~J.mB-9JE_>(JlJ~
n + l = 2 , m = 3 ,
= 1 0 - 5 = 5 .
Bfr~
1 , E l r ~
n= 2 n - m = 2 X l - 3 = - l .
00/Jtift
11 . D lz9:3/g1Jl:JJnA:-2x3yl+2m .Ej 5xn+ly3 Ef9~¾1Jl:JJnA:,
BIT~-2x3y1+2m .Ej 5xn+ly3 ¾IP]~J]j!,
l l l f f l » ~
ffJIHi
BIT~ n + 1 = 3 , 1 + 2 m = 3 , n = 2 m = 1
1. D ( a - 1 ) - ( - b - c ) = a - l + b + c . i & z D.
' '
Efr~
m - n = 1 - 2 = - 1 , i & ~
D.
2. B A . - ( 2 x + y ) = - 2 x - y , i & ~ ~ J ] j ! f f i ~ ;
2
12. B 0.4x y - m x y + 0 . 75y3 +6xy
B . x - ( - y + z ) = x + y - z ' i&~zJJniE.1iJH;
2
0.4x y+ ( 6 - m ) xy+0. 75y3.
=
iiJW:~JJnffi~;
C . 2 ( x + y ) = 2 x + 2 y ,
o,
IEi7'JJffi:~rffiA:1-tffiJ§"~* M:
=ik:rfl!,
BIT~ 6 - m =
iiJW:~JJnffl~.
D . 3 x - ( 2y+z) = 3 x - 2 y - z ,
1 f tij:~
m= 6.
B.
i & ~ B.
J1tf&tf *
mt.k
"1'a-" ~ ·ffiJ~a~)i~~llf!:
~ s
J]liliE
i * 1 '
-i-.-M-1- at , * - t
~
1)Q N.
(?¢J (?¢)
~t
f- i-( iti
1 t *-:il&" ¼ " fl}] $/fl .~, :
,11! , ,11! ,
J;i]
~ (J'-J ~ ~ ~ ~
,+m-*, i t - ; - ~ ~ i4it..JlJL.4t, ~ ~ 1 f ½ ~
-i-Jt--t
16,
~
-~~~*f-~~~~~j~i-(,~~~~~#~~
~
Dl ~ ' - i - * ½
;;M--twrat.i i 4 ! t J l ~ ~ ~ E l .
3l:. ' ~ > J i
;f;
" ' r t ~ " ~ # ~ j f ~ ,½-Jf-
~~t;::::-Jlfl}]
- 1 ' ¼ "
zfij" ~ ~J:fii
?k~.
~#~.iE~
16 , at.i ~4&.59
0.
3. D f ! H i ~ ~ , 1 E f f i ~ f i r " - " ~ ~ " + " , ~ % p g.E f 9 * ~
2 2 2
13.A 5x +ax - 2y+bx - 4 x + 8 = ( 5+b ) x + ( a - 4 ) x - 2 y + 8 .
fM!l~-1,ft~*mZ¾
a+( - 2b+3c).
fEl;g~Tffi A 2 2 ~ffil§j~-£3: 7G
5x + a x - 2 y + b x - 4 x + 8 x
4. ~ ~ 5 x - 7
;k. ,?fr~
5+b = 0 , a - 4 = 0 , E f r ~ b = - 5 , a = 4 . ~ : ® A.
NH.Fr
ttrJ.rtt: 3 x + l - 2 ( 4 - x ) = 3 x + l - 8 + 2 x = 5 x - 7.
. ~ffr
J!~f.
~
1J\
2
5.
- 1+ 2a - ci2; - 2 a + a
~~
1 1 2 4
2
2 2
- -ac+2a +- ac - 2 b c -- . a +2bc = -a
NM.Fr
2 3 3 . 1 - 2 a + a 2 = - ( - 1 + 2 a - a 2 = 1+ ( - 2 a + a 2
2
) ) .
a t , ~ ~ - * - ~ ½ 1t'~
l ' ·J; lfr W, 1* A ~ ~;J~-t ¾ i k ~ ~ 1 . ~ ,
2
5 , = 5 ) = l OO ~
x ( -
a = -
3 3 .
-t
,~~;pi.J'5'J~it½ -2.a~~i.iJi:ifs?.l~~½.
6. ~ ~
a +S
. NHfr (
2 )2
1 ) 4 ( a - b ) 2 - 5 ( a - b) + 3 ( a - b = ( 4 - 5 + 3 ) •
Mffr
3+ [ 3 a - 2 ( a - l ) ] :;:: 3 + ( 3 a - 2 a.+2 ) = 3+3 a - 2 a +
2 2
( a - u ) ; 2 ( a - b)
•
2 =a+5., .W Wr C
2 2
1) 6 / - C 2x - y ) + 2 ( x - 3 y 2 ) = 7 2 - 3 6 - 3 ( 6 - x )
2 2
= 6 / - 2 ~ : 2 + y + 2 x - 6 y =y. = 3 6 - 1 8 + 3 x = 18+3x.i&m B.
2 2 2 2 2 2
( 2 ) 2 ( a.b 2a b ) - 3 ( ab - a b ) + ( 2ab 2a b ) 3. ~ ~ 3a+5b
- -
2 2 2 2 2 2 2
= 2a.b - 4 a . 2 b - 3 a b +3a b+2a.b - 2 a b = ab - 3 a b.
M:tfi ff!N!fi:nf,
~ J g ~ (
8a+6b ) - ( a - 2 b )
fl~l m-ft
= 4 a + 3 b - a + 2 b = 3a+5b.
129:3/9
8. A a - b = - 3 , c + d = 2 ,
- (
1 )
mq:'fIT (
4 . (6!.J¼ 1 ) 3 ( 2x 2 +xy+ 3x 2 + 4 x y - y2 )
3
f } r ~ j ( a.+c ) - ( b - d ) = a + c - b + d = a - b + ( c+d)
i!iJcm
= - 3 + 2 = - 1 . A.
2 2 2
= 6 x + 3xy+ 1 - 3x - 4 x y + y
9. 3:ry - 8 y z - x z
~~ 2
= 3x -xy+y2 + 1.
ffi!Hfr [ ~ ~ - ]
Jm~J_w:ctJ; x y - 3 y z - 2 x z + ( x y - 2 y z +
x = - 2 , y = - l B t , f f i ( A = 3 x 4 - 2 + 1 + 1 = 1 2 - 2 + 1 + 1
~
3xz) = x y - 3 y z - 2 x z + x y - 2 y z + 3 x z
= 12.
= 2xy-5yz+xz. 2 2
( 2 ) 2 x 3 x y - 4 ( x - x y + 1 )
-
~ J i
i H f H a
f1T ~ 2 x y - Syz + xz + x y - 3yz - 2xz = 3 x y - 8yz 2 2
= 2x 3 x y - 4 x + 4 x y - 4
-
-xz. 2
= - 2 x + x y - 4 .
ESJiW~ J l i E i f t i ~ ~ * J l
[ ~ ~ = ]
x y - 2 y z + 3 x z + 2 ( x y -
= l , = - 2 Bt ,
~ J
X
3 y z - 2 x z ) 2
f f i ( : c t = - 2 X l + l x ( - 2 ) - 4
= x y - 2 yz+ 3xz+ 2 x y - 6 y z - 4 x z
= - 2 - 2 - 4 = - 8 .
s. fm:tfr ( 1Ml£M: 89
« q f t
= 3 x y - 8 y z - x z .
1 )
~-fHfr
5 y 2 - [ y 2 - 2 ( 2 y 2 - z ) + ( 3 y 2 + 5 z ) ]
( 2 ) ( 2ab+2bc+2ac) ; ( 6ab+8be+6ac).
2 2 89 ffi fJl
¾
= 5 y - ( y 2 - 4 y 2 + 2 z + 3 y +5z) ~ f f f : 1 N l £ i ; : 2 ( ab +be+ a c ) = ( 2ab + 2be +
~
2
= s y 2 - 7 z .
2ac) cm
*
•
at,
r :fdl£i;: 89 ffifJt~
~ = 2 , z = - 1 2 ( 1. 5 a • 2b + 2b • 2c + 1. 5 a • 2 c ) =
D.¥:~
2
2
= 5 x 2 - 7 x { - 1 ) = 20+7 = 27. 2 ( 3ab+4bc+3ac) = ( 6ab+8bc+6ae) cm
•
l. fft¥'1T E8~~1lJ1l
( 1 ) a<0<b<c, l b l < l a l < l e l , ( 3 ) ( 6ab+8bc+6ac) - ( 2ab+2be+2ac)
f } r ~ b - c < 0 , a + b < 0 , c - a > 0 . = 6 a b + 8 b c + 6 a c - 2 a b - 2 b c - 2 a c
2
= ( 4ab+6bc+4ac) cm
i & ~ ~ 7 ' 1 < ; < ; > .
*
•
M: M:
~ : fijf( fl£ r t ffl ( 2
( 2 ) lz:;JJ; b - c < 0 , a + b < 0 , c - a > 0 , {Ml ~ ~ 4ab + 6bc + 4 a c ) cm
; j \
1¥}~.
f } r ~ I b - e l + la+b I - l e - a I = - ( b - c ) - ( a+b ) - ( c - a )
= - b + c - a - b - c + a = - 2 b .
~ h ~ f t
m
"~1*,~t~" *~x1ffiJ1"5'
iiCD%IE1r%~Jtl¥JJi1*7'J
a,®%iE1f%~Jt89
6. B
J i l * ~ b,JJ!U®%iE1f%~Jtl¥JJil*Jl a+b,@%iEn
¾~~~~½,•~~~~~~~~½£~~-~~
~llf.JtAf½~~, ' t ~~mJ~½
,-1t~1f.Jf5t.iE
%tl£Jt89Jil*Jl ,®%*1f%tl£Jt
i E ~ , 89-KJJ
i@.
2a+b 3 a + b ,
,lt.~:im.ii¾;f6-t'\¼-jf-~~~1tf-;ii.
~JJ
~~~
b - a . j m 0 0 , A D = b - a + b + a = 2 b , A B = a + b + 2 a + b - b =
K n %
,EJr~
3a+b ABCD 1¥JWJ*7'12(AB+AD) = 2 ( 3a+
El3 001:iJ~ID=JIHfJS?t1¥JJWJ-K~r*n
b+2b)= 6 ( a + b ) ,
1¥JWJ-lt,Yf°~ID=J~$5t89JWJ-ltjg
%
~?it » ~ ABCD 6 ( a+b ) .
A B
@
-*ffl~if:,
2 2 2
1. B {ij( 2x + x - 2 ) - ( 2x + 3 x - 4 ) = 2 x + x - 2 -
q ,\J
I
·.1
(rn •
t i { ~ B.
2 x 2 - 3 x + 4 = - 2 x + 2 ,
'bl !· \
1 CD
~ ~ -L~"-,,:·
r.~
j
D~ - - - ' , '
#...i>Riffei+ C
f.J~>t-rf-t4*
J1J J, ~a'-J a,J-,
f t
~~~ ~
@ @
7t~f vf:J.tr ~~~:/JuJ~~ ,-VHtk~~~X-.
i l , i f J,
~
JiWIE ( 'fl**1I~treJt~JWJ-K:3/9
~ ~ ~ # W m = * ~ % W m ~ * ~ ~ ~ ~%
1) 2 ( a+b+b+a+b+2a
2. B
8 (
ITfi~, +b) = a +b) ,
n.1!00 ( 1J~!l£Jt -Ji
2 ) r:~,jc-~ a { ) ~ - ~ 2 ( b--a +b+ 2a +b+a
1 I
Efrl-v.
1 2 x 6 -- - x t 2 x 6 ~ - x ( 1 2 - 6 )
S= ( 6 - x )
2 2
+b+2a+b) = 2 ( 5b+4a.),~ ¥ 7'1
h,-t- fa_t E"~~ * -J.J
-f~1.fzJ:. (.t'~~ $-J~
®% IEJJ %~1£Jt s~ JWJ-L~:1-J
4 ( a+ b) , g , n ,
®%-L~JrHi~RJ=r ~J<J JWJ -Jf jg
2 ( 3a +b +b- a) 4 ( a+b) ,
=
Y!IJfghn = l 00Qf+ lOOg + 10h +n = 4 ( 250f+25g) + lOh +n ,
,R~m
m
s~{i ~ tm~f Et~ffi , i& c r~,
I:l H1
2 ( 5b+4a ) 6 ( a+b)
12s1 , i
4 25 0 /+ 25g > 4
~~~ ~
~ B.
j~1Bt
§ r ~ ~ lOh+n 4 RP~ 1'-12]1~ ~ * ~ ~ 1iz
~ ~ '
J+s(-3/+;
~Jm~-
~i~1If
~ -i'IZY{ft ~ J}Jt~t ~
4 ~ ~ B-j , 4
~~ -
7.Mtfr
2
x y - 2y - 2 [ 4x y - ( 3 / - x ' r ) x ' r )
~ itB~1t mi i)t!IJm
3
2 2 ly2.
=:c ., 2y2- 8xy +6y2 - 2x y - l5y2+2 x y= - 7 x y - 1
miJE:.
2
~ Jg l x -11 + ( y + 2 ) =O,
, y
x
1.~ ~
4
E R ~ x- 1 = 0 , y + 2 = 0 , ffifHfr 2 2 2 2
2 ( 2 +3x - 2x +mx =4 +6 x - 4 x +mx
)
§ r ~ x = l , y = - 2 . 2
= 4 + 6 x + ( m - 4 ) x
~*
•
2
§ r ~ J m : r t = - 7 x l x ( - 2 ) - l l x ( - 2 ) = 1 4 - 4 4 = - 3 0 . 2 2 1t Ef'~ -=
I E } j g $ } J n j \ 2 + 3 x - 2 x +mx f~
2 ( J§'
) X
.f Hf ( 1 ) IE}Jg A - B + C = 0 , E R ~ C=B-A.
tXJ_ITT'
IE}Jg A= 3x+2y2-3xy , B = 2xy-2y2+x,
f ) r ~ m - 4 = 0 , J H i m=4.
E R ~ C= ( 2 x y - 2 y 2 + x ) - ( 3 x + 2 y 2 - 3 x y )
2.~ ~
- 1
3(x'+; -6x-I)
= 2xy-2y2+x-3x-2y2+3xy
)-(mx
Mffr 2
x ' + n x
5xy-4y2-2x.
=
E R ~ C * ~ ~ A ~ j g 5xy-4y2-2x. 3 2 2
= 3x +x +3nx-mx +6x+l
( 2 ) IE}jg x = 3 , y = - 2 , 2
3
= 3 x + ( 1 - m ) x +(3n+6)x+1.
3(x'
E R ~ C= 5 x 3 x ( - 2 ) - 4 x ( - 2 ) 2 - 2 x 3
2 2 f t
f!;).:3/g*f x ~~J'.pjjo\ + ½ x +nx ) - ( mx - 6 x - I )
= - 3 0 - 1 6 - 6 = - 5 2 .
9.NHfr ~fl:I 2 r_m,f)r~
f m j § - ~ * x x 1 - m = 0 , 3 n + 6 = 0 .
~~.JJl[EEJ:
{ & ~ ~ e y ~ x= 1 000a+b,y= IO0b+a, f ) r ~ m= 1 , n = - 2 ,
,@r x - y = ( 1 000a+b) - ( lO0b+a) f ) r ~ m+n= 1 - 2 = - l .
~
3.NHfr EEJm{~~A~~-=tX:r,mPI~
9 9 9 a - 9 9 b = 9 ( l l l a - 1 1 b ) ,
= 2 a - 4 = 0 , b + 3 = 0 ,
~¾IH&, FR~
~ j g a.,.b a = 2 , b = - 3 .
Yr~
ep
9 9 ( l l l a - 1 l b ) , 9 x - y .
f ) r ~ 3 a + 3 b = 3 x 2 + 3 x ( - 3 ) = 6 - 9 = - 3 .
~~~~ ~~~~
2(
~ l H l i f t
4.Mffi"- ( 2 2
1) mx - x - ~ ) +4x +3nx
+
f¥Hfr ( ~ - - t - J.HJ1ir_t 1iI _t
10. 1 ) .=.1iz c ,
~~~jg
2 2
= 2mx - 2 x - 7 + 4 x +3nx
~ t t ~ j g d , 1 ' - 1 i z _ t ~ t t ~ j g e,
2
= ( 2 m + 4 ) x + ( 3 n - 2 ) x - 7 .
ff!IJcde = IOOc+ lOd+e.
= 2 2
J;l;l.:3/g*f x ~ ~ r p j j o \ 2 (m x - x - ~ ) + 4 x +3nx ~-(«Ef
x
~ - 1 ' -
1:iJ
( 2) {iz!J&cde~ )E c+d+e 9 ~ ~ B f , ~
~ ~
~ I & f f i x * . ,
~~-llEEJ:
- t - = - 1 i z ~ ~ ~ ~ ~ 9
f ) r ~ 2 m + 4 = 0 , 3 n - 2 = 0 .
cde = IOOc+ lOd+e = 99c+9d+( c+d+e) ,
fJl
129 jg 99c 9d 9 m = - 2 n = ~
~~~ ~~,
i:;i:;~
3 .
DI '
t f r ~ ~ 1:U~*1f
c+d+e 9 ~ ~ B t ,
2 2
( 2 ) 3 ( 2 m - 3 m n - 5 m - 1 ) + 6 ( - m + m n - 1 )
cde)J)t~~*11[ 9
~~-
2
2
= 6m - 9 m n - 1 5 m - 3 - 6 m + 6 m n - 6
J!-t-= {tr~~~*1t
( 3 > 3 ~ ~ . J J l [ m :
= - 3 m n - 1 5 m - 9 .
~ ~ - t - =- 1iz~~F-iml:a~~~t-J
m , Y l U + 1 i I _ t ~ ~
~
m = - 2 n = ~ B f
'-t-1.ft_ta~~~~
~ 1 1 2 m + 3 3m,
3 '
-=I '
MfLV,JZ-i' = 1 f t ~ j g l 0 0 m + l 0 ( 2 m + 3 ) +3m= 123m+30
2
1 * A = - 3 x ( - 2 ) x ~ - 1 5 x ( - 2 ) - 9
= 3 ( 4 1 m + 1 0 ) .
3
m~.
-JgIEm~ ~J!-1' .=1.fl~~~Ml
~ J-1 m ,Mf 3
= 4 + 3 0 - 9 = 2 5 .
c ~f~at,
4 ) ~ - -i'lfil1}l ~rMJJt*~w-51i l ~f1~*1t 4
~ I 2
~
,
S.ffin~ (
2
1 ) ~ j g A= 2a + 3 a b - 2 a - l , B = ~a~+ ab+
3
2
1'" 11z fJJl t i ,~i.
4 *
~ ~wt~~
r:~
: t
t'F ff !(: : ifl :iZ -1' pg {}l s~ {fl. -. a<J -Jg f , l f {ft 1: }YTl)J 4A - (3A - 2 B ) = 4A- 3A +2B= i1+ 2B
~ ~4 I
( 2 n + J
) x n
,, 1
= 2 a - + 3 a b - 2 a - l - 2 a ··+ a h + - = 4 a b - 2 a + - . ( - I ) ,, - - ---
3 3
n
~tfr 5HJ1JxJQJJf-f% -.7t-f'-.5t·BJ:B'1tJQ.1$, nH;J~ 1'-
n
( 2 ) If] ( I )11} 4 A - ( 3 A - 2 B ) = ( 4 b - 2 ) a + + ,
( 2 n + l )xn
:JG* ,
~ t _ m ~ ~ ( - l ) n - - - .
ag
A T 139 ffii 11 1i o, 1i
Jm
fff(t
lfl ( I ) r.f=1 ~ a 4 b - 2 = n
1
b = - . : J t t # U f , ' ! i f f i . ~ v J - i ~ , - 7 l 4 i ~ ~ * ~
l · r f
·t
=
2
t ,. .::. t ,
1i
7 l 00 # U f ffilf-M X: 4 t JV-At} .f 1.rf
-JfJ J - ,
~ 1 ~
.NHfr ( 2
2 2 2 *~~m
1 1 ) ( a x + b x - 3 ) - ( 2 x - 3 x ) = ax + b x - 3 - 2 x +3x
m
At,
¼ ~ ½
Jtl--AUJUt, itl
J f
~1\~~~
ffe
at~
2 ili -
fAJ
= ( 2 ) x + ( b+ 3 ) x - 3.129 Jg ~ ~ g_§_ a ' b
l=J3
(l -
~4f'af
ifn1~iafu¥-~ 1.rf.f
l~ll!. ii. 1 t ~ # ~ - ; t . i E . .
J ~ ] :
1
ffi,
2 ,fB-l
H • e t ~ ~ L ~ 7 ' J - x + 4 x - 3 , E f r ~ a - 2 = - l ,b+3 = 4
h i ' 1!;~~.%t.
1~
a = 1 , b = 1 , 7') 1 , 1.
ii~~~
S3 ( 3. ~ ~ - l ; a - 1
2 2 2
( 2 ) 1 ) ( a x + bx - 3 ) - ( 2x 3 x ) = ( a - 2 ) x + ( b +
~
-
NHfr
IE}Jgit•s~riHI!~
: t m * J j \ ~ J L " m ~ M - ~ ~ ¾ - 2 , J J ~ ¼ 1 f i l 1 5 - i f f J J l *
§ r ~
3 ) x - 3 . x ~ l O C f f i J G * , a - 2 =
JJrfi89~¾[ (
- 2 ) - 1 6 )
x 4 - 8 ] + 4 + 3 = ( - 8 - 8 ) + 4 + 3 = (
7
b 2
0 , + 3 = 0 , Y f a = 2 , b = - 3 , § r ba + ab = ( - 3 ) + 2
~ ~
X
= =
4+3 = - 4 + 3 = - 1 .
( - 3 ) 9 - 6 3.
.m
~0*1J\ ~iJF~* JJrfi 139~¾ JJ~ ~M- at fx¾
¼ {fil;t,
a ,
2 2 ~
. D x + a x + 9 y - ( b x - x + 9 y + 3 )
[ ( a - 3 ) 4 a - 4 ) + 4 = a - l .
x4+8] + 4 = ( 4 a - 1 2 + 8 ) + 4 = (
2 2
= x + a x + 9 y - b x + x - 9 y - 3
j~a,h ~fu-
2
= ( 1 - b ) x + ( a+ 1 ) x - 3 .
2 2
129n1~~A 139ffifi[JgJEffi, ~7'J~Jg 'AJ ~ ~ J m &
x + a x + 9 y - ( bx - x + 9 y + 3 ) 4 . D 1 , 1 , 2 , 3 , 5 , 8 ' 13 , 2 1 , 3 4 , . . .
I
m
o, o.
Wr fH~ 1'- tll , ~ - g l l 1m 1'-~ 1'-
~ 1 - b = a+ 1 = b = 1 , a = - 1 . 3 ~ j g - 2 j g ~ ~ , 3 ~ j g
§ r ~ - a + b = 1+ 1 = 2 , D.
~~
11:a*lt
·1pg:,oc.,
8. ~ t f r (
2 2
1 l - 2 (
) A - 2 B = 2 a + 3 a b - 2 a - a + a b - 1 )
12SI~ &Plru -1'fx9=1:!t~
2 0 2 7 + 3 = 6 7 5 · · · · · · 2 , 2 027 675
2 2
= 2 a + 3 a b - 2 a - l - 2 a - 2 a b + 2
g_§_ ' _ § _ ~ 2 1 ' - ~ '
= a b - 2 a +
1.
ti~~
§ r ~ 6 7 5 x 2 + 2 = 1 3 5 2 ( 1 ' - ) , D.
~~~
~m
2 2
'2sl7'J(a+2) + l b - 3 1 = 0 , ( a + 2 ) ~ 0 , l b - 3 1 ~ 0 , a t , ~
ili
5. D 1 3
Z X ~ A I W a ffi7'1 IW~Wd&ZX¾
Yf~
a + 2 = 0 , b - 3 = 0 , § r ~ a = - 2 , b = 3 .
~
1 Yk._!_X3=1
v-.....
Yf~ 3 '
A - 2 B = ( - 2 ) x 3 - 2 x ( - 2 ) +1 = - 6 + 4 + 1 = - 1 . ~
( 2 ) 2 ; 1 .
~ 2 7 X : 1 + 5 = 6 ,
~ffl!t: EE ( +
1) , A - 2 B = a b - 2 a + 1 = a ( b - 2 ) 1.
~
~
3 {~ __ !_X6=2
v-...
at 3 '
Y f ~ ~ ,:Jcit ~ f f i J ~ d l - 1 ' - ~ ~
b = 2 a IOC1itfffi,A-2B
m
ffi
1. 4 Z X : 2 + 5 = 7 ,
m 5 ZX:1+5= 1 2 ,
!:§"~~i.m~
3
~~
*
~
6 {'.~ •_!_X12=4
iaJ~~/jeffllffl:
U3~ v-... 3 '
717
~ titr
m 1 Z X : 4 + 5 = 9 ,
~~
1
~ 1 f i ! J ~ ~ ,JUiat1'-~1g (
: m @ n
·1_ C 1 ' - 0 0 ~ 9 : l 3 n
8 { ~ • - X 9 = 3
~
v-... 3 '
~
m@-1' 00 J:f,
~p
- 1 ) , ~ n = 8 Bf, 3 n - 1 = 3 8 - 1 = 23, ~
X
~%B'~-1'~jg
C.
2 3 . i & ~
9 Yk •_!_X3 = 1
l£t.r v-.....
3 '
~
f 6 l f - ~ ~ ~ i m ~ ~ # ~ ~ ~ ~ ~ 4 : 0 0 ~
~~. ~--~~~~
~ ! J r l ~ ~ # ~ 1i JI!, i ! rt at.i # .~. . Jk..J-A.1,t-=-+ 1!1 ,~m rx1m~mJ.m.
~~'
s
~~*4¥f
itJLtAJ
~
+
i t +
00 J : . - + 0 0 1 t J IE JJ:t
,J,
~ ; i p t a -JTJ. Jflfr- ~ ~
'2s11.7
2 o 3 2 + s = 2 5 4 , m ~ m 2 032 i X * n t r t l . \ ~ ~ * ¾ 3.
+ +
i i i
li1 ; t 7J Ill
:1t! , b ( Jf ) 'J' -JfJ , -
n ~ an+ n ~
ti[
i~:i*
D.
00'$tJ€ t.i,J,f!11fJ
~ ~ , i l ! i ! 1 \ A ~ - , t tl-J~11i., flp i:r~
tij'"
i ~
~ffr ( UL~~+
ifLUt9
6. 1 ) 72. :'ii~~~~~ ~
;t. 1.i, i±. , t JJ1 a'-J 'J, -JfJ a'-J 1.m., flp Pf
b 1 ~ A1 )lf JL 1¥J
{/.J i@. ~ ~
-f&Mtt
'=¥!1-J 1'{V:J: ,1~
1¥J~~Jg
2 ( 5 n - 3 ) +m =
m,
11,
.o/EtiiEHr1fjJR}(t/.J Ei ;r,-,
.JE~
21,J:ifr~~ 10n-6+m=21,JiJr{;J_ 10n+m=27.9.*~
J J ~ ~ '
129:1g 1 ~ m ~ 9 , 0 ~ n ~ 9 . m , n 7
m~
WHfr
!zsl 2 2
,eJr
rn = 7 . n = 2. -Jg x 2 x - 3 = 0 , ~ x 2x = 3.
- -
E1r 2 2
jffi' Al~ lj9 ~ ~ - J g 72. )Jf-~ 2 x - 4 x + l = 2 ( x - 2 x ) + I = 2x3+1 =7.
~
i~ a·s t.
( 2 ) mm liJl'J 10.* ~ 8
5.i+a'
i a : i t ~W-iuI.~s~ + 1i l . J : ~J ~ * ¾ a , ~ U Z J : E ' - J ~ * ¾
ffi/Hfr
2 ¾F<iJ~Jyj,
lz;J:;/;/ - 3am- l b b"
1i'(Jffi~ , 1~(
b , S b - 3 ) x 2 + a = 1 0 b - 6 + a = lOb+a - 6.
m~1~~Js~~*1Jo 6, Jt
}J)r~ m - l = 3 , n = 2 ,
H x N c + 1 f t J : E 1 ' 9 ~ * . ! : i j ~ 1 f t
__t ~~*
RPnJ1iilJ~ TW JW E10"0lEl~xt.
{ f t ~ ,
}J)r~ m = 4 ,
~ ~
EIITT
YT~
m n = 4 x 2 = 8.
m=~El±~jD!U
11. ~ ~ 21
Ei3Jm~PJ1i,~1Ltlfff tfb 13~~1ft-jg
1. C a ( 1 +20%) x0.9
Mtfr m~OOPI~,
= a x l . 2 x 0 . 9 = l . 0 8 a ( 5 t ) .
~-=~~~~~$~1~~~,-~~ili~ ~ ~%
l . 0 8 a - a = 0 . 0 8 a ( J t ) ,
~ ~ j j 3 = l x 2 + 1 ;
flP 1Ltlfff tfb t~~-*1ft T o. c.
IY-J~11r 5 t ,
o s a i i J ~
~ ~
~ - = ~ ~ ~ ~ ~ $ ~ 2 ~ ~ ~ , - ~ ~ i l i ~ -= ffi%
xt
*
~if&j) 5 2x2+ 1;
i¥J ~ ¾ - ; ,jl,Jolt:lzl;BJ.! ffi~; =
2. C A. -
~ - = f f i % ~ ~ ~ $ ~ 3 ~ ~ ~ , & $ ~ i l i ~ = ~ %
s.•t.wA 8'9-*~yg 1,'&(~1J 1,iiJ.r1tmr.mffi~;
x
~ ~ 1 J 7 = 3 X 2 + 1 ;
c.~t.wA 4 2 2 4 ¾ rm1x-=::t.wA, iiJ.rltmt.wIE1iffl;
a - 2 a b +b
8'9'/J(.~jJ 4,iiJ.rit~t.wffl~.M[~
2
C.
D.-2'1T xyz2
Y f ~ ~ = f f i % ~ ~ ~ $ ~ n ~ ~ ~ , & ~ - i l i ~ - =
mt.m,
Elr-fr¥-B3=~1§ fAJ, ~~fA]~t_w;
3. C A - 5 a J:ij 4b
~ % ~ ~ 1 ]
2n+1.
mt.w Elr*¥-B3:~~~fflfA] ,~~fAJ~t_w;
B , x y J:ij xyz
1 21, 21.
n= 10 B'-1' ,2n+ = i i J ~ ~ j g
~
4 2 4 2 Z4 it" fAJ a1J XE 3 l , ¾ fAJ
C ~ J g ! , 6 m n £ij 2 m n t_w
~
12.ffi¥tfr
( l ) x - y + 5 x + y
~:r_w;
= x + 5 x - y + y = 6x.
1§
mt.w, 2 2 fAJ¥-B3: ~1~if&~1§ fAJ,
£ij
D - a b c '1Ta bc a-..c
2 2
( 2 ) - 7
3 a - 2 a + 4 a a
~~fA]~t,w.
C.
i i J m
2 2 2
= 3a +4a - 2 a - 7 a = 7 a - 9 a .
ffi~;
2
4. C
A . 3 a + 2 a = 5 a # 5 a ,iiJ
A
(3)5a-3b-3(-2b+a)
ffi~;
B. 3 b - 2 b = b =rf 1, iiJ B
= 5 a - 3 b + 6 b - 3 a = 2 a + 3 b .
IE1ifti;
2 2 2
C.5x y - x y = 4 x y , iiJ C
2 2
( 4 ) ( 5 a + 2 a - 1 ) - 4 ( 3 - 8 a + 2 a
~ j m i : t # , ffi~.
2 2 )
M[ D C.
D.6x y .Eij-xy i i J m
2 2
5a + 2 a - l - l 2 + 3 2 a - 8 a
=
5 . D A . - ( 7 a + 3 b - 5 c ) = - 7 a - 3 b + 5 c , E l r ~ . r i t m t . w ~
2
= - 3 a + 3 4 a - l 3 .
iEfifti;
ffi¥ffr
2
2
13. 3 ( - 4 ( - x 3xy2 )
,JJJr~.rlt~t,w~IE:fiffl; 4 x y 2 - x y ) y+
B.7a+2( 3 b - 3 ) = 7 a + 6 b - 6
2
2 2
,Yr
~.ll:t~~~IE1ifo; = l 2 x y 2 - 3 x y + 4 x 2 y - 1 2 x y = x y.
C . 5 a - (
b - 5 ) = 5 a - b + 5
at
2
~:® x = 2 , y = - 1 , m t t : = 2 x ( - l ) = - 4 .
D . - 2 ( 3 x - y + 1 ) = -6x+2y-2,JJJr~.rlt~tg!.IE11}u. D. ~
NHfr ( 1.JIJ\*JJ~ o
14. 1) ~ ~ 1 g 3 ,
4 4 ~
af
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x (
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a - 9 .
6 1 ) 6 6 - 1 ) 15 <100
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Er· lll~!filtrlt1~~*1g
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7 C
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s
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X
X
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4 400(
f l ( ~ ~ ! i ! 7 J ~ j j ~ 200X20+40X ( 3 0 - 2 0 )
J t ) .
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en
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y = - 5 , x = - 3 , z = 4 .
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x + y + z = - 3 + ( - 5 ) + 4 = - 4 . i & z C.
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3 , t - . M ( ~ B. a+b 0
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-=1
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1
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f / l ~ , IEfifH, a+b 0
A, B, C D D. ~
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e
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E.Jr i:.J
a = 3 , b = - 2.1 1
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12= 6
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~n
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n ·- n rn--i
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(1 ) - 1 2 + ( - 6 ) - C - 2 8 )
JI**~~
s
Wfm : Jmi 00 9=t 1'- 1J\ .ll. JL fey 1* ffi
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1 ~ )
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t ~ ( = 2 x ( 5 + 5 + 5 ) + 2 = 32
10. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ( 2 ~ )
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7)--......)
= - 6 - 9 · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · ( 3 ~ )
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4 ~ )
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~
JJ!UJ\.~~$~~1~,A~1J
3 9 8 X 2 - 4 0 0 = 3 9 6 , . . . . . . . . .
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X (
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= - x ( - 4 8 ) - x ( - 4 8 ) + x ( - 4 8 )
+
J J ! U J L ~ ~ $ ~ ~ ,~,A~:1-J ( 398+ 396) 2 = 397, · · · · · · · · ·
6
16 24
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§ r l 2 , { $ ~ W J ~ I r # ~ t 1 ~ , ~ ~ m 1 1 c 3 9 s + 3 9 6 + 3 9 7 ) x 2 0 =
- 1 7. . . .. . . . . . . . . . . . . . . . . . . . . . . . . ... . . . . . . . . . . . . . . . . . . ( 6 ~ )
=
23 820 ( JG) . · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · ( 9 ~ )
7 )
( 4 ) - 3 + - 1 - 2 )
2 ( X ( 2
8
~
22.Wt:l'Jr (
2 2 2 2
1 ) 1 + 2 +3 +4 = X4X5X9. , . ..• . ( 2 ¾ )
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) x 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ( 7 ¾ )
~
2 2 2 2
( 2 ) 1 + 2 +3 + · · · + n = n ( n+ I ) ( 2n+ I ) . . . . . . . . . . . . .
1 1
- 9 - - = - 9 - . · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · ( 8 ~ )
=
· · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · ( 6 ~ )
2 2
2 2 2 2
( 3 ) 13 + 14 + 15 + . . . + 24
18.JHJr ( ·
2 2 2 2
) 2 ( a b - 3 a b ) - 3 ( a b - 2 a b
)
2 2 2 2 2 2 2 2
= ( 1 +2 +3 + .. ·+24 1 +2 +3 + · · · + 12
) - ( )
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= 2a b - 6 a b - 3 a b+6ab
2 ~ )
. . . . . . • • • . . . .
H . . . •• • . . . (
1 1
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2
: - a b. · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · ( 3 ~ ) 6 .
6
2 2 2 2
1 2 ) 2 ( x - x y ) - 3 ( 2x - 3 x y ) - 2 [ x 2x - x y + y ) ]
- (
· · · · · · · · · · · · · · · · · · · · · · · · · · · · • · · · • · · · · · · · · · · · • • • • IO ~ )
2 2 + 2 2 23.NHJr
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3
C C
- - ~
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~
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ffilf-~ ffl~. ·· · ·· · · · · .... · .. · .... ·· · · · .. ·· · ..
1
9 1 ) (1 ~ ) ( 2 ) m + n = 2 , m n = - 4 B t ,
~ ~
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2 5t" )
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= 2 m n - 6 m - 6 n + 3 m n
1 . ( 1
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+
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X ( X ~
[t JJ; 2
( 3 ) a. + 2 a b = - 5 , a b - 2 l / = - 3 , § r V ) 3a. 2 +4ab+4l/ /4i_ A -J=a1.~\ c 5t+9,
Zfi=tH1<JRli '~ L 1 ' J ( 7 + 4 t ) - ( - 2 - t ) =
.., .... ........ .. , .. .. ... . . . .. ... .... . .... .. ... ... ( x '/./- )
3,/+6ab-2ab+4l/-
=
B
2
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= = - = ••••• • •..•. . •.•••.• •• • • •• •• •.••••• , . . . . • . . • • • • . • . . • ( C) //; · )
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. A
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CP, CD, CA, CQ , CO, CB.
1¥.J*Jg Uc:®
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E
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= 4x. AB = 2 7 , AB =B M +AM ,
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s
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N
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cm cm
fHJr ,EJTl;J
2 ' 2 .
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3 + 6 = 9.
MN=BM+BN=4+1=5(cm).
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3 5.
~
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4. ~ ~ 156;9 360
Mtfr ( IP~,~ T WHJr
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ffi¥ffr (
l ) 35°28'48"= 35°28' +0.8' = 35°28.8' = 35.48°.
1 0 - 2 - 6 = 2 ( c m ) .
= =
°
( 2 ) 77 ° 5 4 ' 36" + 34 ° 27 '44" 111 ° 81 '80" 111 8 2 ' 20" =
19:~ fa] 1:/ JJ!U
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60°
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2. C L A O B , L A O C , LBOC,Ell'!V. OOllH,@JI!~, 1f
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1
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1
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11 11 11 5.ffilHfr B'~JESl; #1
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19Ll~ tiHJ!# ffi ~ : : k ~ ¾
C
_ t 3 0 ° , B 1 t t 1 ? t # ! f ! f
lzsl;g ,EffDJ
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0 . 5 ° 10 , ~ 10 5 J ' i ¥ J B t t t 3 0 ° x 4 -
B'13JZ-Jt-~.
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7.NHfr ~IJOOEJflR, *)t¾.Eff>ltita"J~ .
L A O B
• NID
micB1H,
BttB9~~i.t~tr,pffiJffi
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12 ' 12 60 . '
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00/Jflft
121¾.
~ 8.NHFr (
lzsJjg
1 ) L A C B = 1 5 0 ° , L E C B = 9 0 ° ,
Eff
3£ i t 1 J_w, iE k ) L A C E = L A C B - L E C B = 1 5 0 ° - 9 0 ° = 6 0 ° .
A A 0 - t t : r ~ frlJ 6 , B1tt:r~ frlJ 8 5fQ 9 89 i:p
r :
83
f3'
fa] , # 8~
5fn ( 2 ) a = Jj_
B;f J t t t ~ J § ¾ 30 ° x 2 + 15 ° = 7 5 ° ; ~I]
lzsl;g
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B ,0-tt:r~frlJ 6,B1tt1~frlJ 9 5fQ 10 B 1 t t f f i 5 t
,Elf DJ
f f L B C E = 90° {3+ L E C D = a + L E C D , E}fl)J a={3.
8 9 ~ 1 § ¾ 30°X3+ 15° = 1 0 5 ° ;
:ti1JOO 83fFOOPJ¾l
9.~ t f r c
J.w, iE i:J=t fa], 1 ) 1 , L G O H > L M o l N .
C 0 - t t t ~ frlJ 6 , B t t t t ~ frlJ 10 5fQ 11 89 B t t t f f i
Wiff:
~IJ 00 3¥-fr
lzsI
( 2 ) 30° 50°. 2 , 1g OQ L GOH,
~
5 t t t l 3 ' - J ~ 1 § ¾ 3 0 ° x 4 + 1 5 ° = 135°.i!i"J(z A.
~ r t 2
1
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2
fmffr xJl~ 00, lA T -,t
B1 t t ~ / ~ a t ~tl )l!Yi Bt t t 1
~ ~ ; j \
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r
pg$E1,
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~
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T ;J\t~, 1:£ 091izil.~
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~~$B1,
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~
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B t t t : 1 f f r l J ~ 12 12
4 0 ° + 10° = 50°.
it#OOffriIQ.7R89B1~tl¾_tlf- 9 B112 5J'.
~ J . t ~ j g
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~rat:» ~
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2.~ ~ >
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~ f f r ' ~ ~ £
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001 002
, - - v - - -r - - .. - - .
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2 ,
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D L A O C L C O B
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2 2
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mffr ~! : Jg (-r'~JJZ-5}~,
B F ~ L CBE L EBF = 61 ° ,
2 2
Jfrl)). L M 3 C = 2 L EBF = 122 ° ,
l
x 3 0 0 ° = 150°;~~11l 3 , L MON= L MOC+LCON=
2
ffr~~,
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tt _C Jiru [1,i]
I ) ) ~
(
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2 2
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m~Jr (
5.fHfr (
'29jg 1) 12S]jJ L A O B = 180°, L A O E = 4 0 ° ,
l: 1. 1 ) L A O B = 9 0 ° , L B O C = 6 0 ° ,
fff f;J
Jifrl)J L B O E = 140°.
L A O C = 90°+60° = 150°.
f ? t f ? t
7'J
OM L A O C , ON L B O C , 1
~
f ? t
129:3/9 ,Ffrf;J
OF L B O E L B O F = L B O E = 1 0 ° .
2
1 1
~f;J
L M O C = - L A O C = 1 5 ° , L N O C = - L B O C = 3 0 ° ,
2 2 :3/g
l2S] L BOC= 90 ° ,
JiJrJ;) L M O N = L M O C - L N O C = 4 5 ° .
Ffrl)J L C O F = L B O C - L B O F = 9 0 ° - 1 0 ° = 2 0 ° .
( 2 ) 3 5 ° .
12S):3/glfill El'-JiI12:3/g cm,Ffr~-*1£:3/9 cm,
( 2 ) O 10 5
-W~:
20;:;,r
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~
,eJr
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~ S i l l =
1T •
s/11J[;COF
f}rf;J
LAOC= L A O B + L B O C = 7 0 ° + 6 0 ° = 130°.
312-?t 312-?t
-fJ OM L A O C , ON L B O C ,
~
25 25
cm El'-JffiftJ~:3/9 cm
2 2
7r( ,Ffr~ftIBJF3 COF
'IT
) •
1 1 18 18
,efrf;JLMOC=-LAOC=65° L N O C = - L B O C = 3 0 °
2 ' 2 '
~ j J y~ f t
JiJrJ;J
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1 ~)('Jj§~-::!¾ff
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( 3 )
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i$fm:
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E§jJ OM ~ L A O C 1 3 ' - ] ~ ~ , O N ~ L B O C
I I
(
= = =
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2 2
+ ;.
i ! ~ ~ ~
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n n - 2 ) ftj n
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2 2 n ( n - 3 )
~~
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hB
~-,;t'J
2
/'fJ ~ -
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L M O N = L M O C - L N O C = J _ ( a+/3) _ _!__/3=_!__a.
2 2 2
sll}i~
. [D
=SWlfflAOD~Sm~BOC
2 2
2 2
a ~~~,a~a9*JJ~iAiR 1201r · OA 1201r • 0 B 1201r( OA - O B
)
360 360 360
I P ~ ~
2 2
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)
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c.
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ft,J j,J 5 3 ::: 8.
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2 ) n , L B OC = 1 5 0 ° ,
C
i&~~jg
3 150°.
Ei3 ( 9 ll9 t ;!iit;1,ll,Jn.~
1 = ix::IJill,!NJ( = ; + l.
I ) ; ' ,
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5f?t
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m~
1
89
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I l t i ~ ~ 4
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1. p 1 1 MN
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'
,ffrLV, ,J!JiLV~
L COE= LAOC=30° LDOE= LDOC
6 0 °
2
5t
1t , Tm#
'It~
1=~.
{5l
~
a,J , ~a
1:EtJU~ 00
~- )#( P AB _ l 1 , - L COE = 45°. iifl(ff.~-j; 45°.
129
D.1 =
B N P M A ( 3 ) j g LAOB = 9 0 ° , LAOC = 2 a , JYf LBOC
0 79 3¥- J t
LAOB+ LAOC = 9 0 ° + 2a. lzs} OD L BOC, fofi
~
001
1
E!sJJ.1
IZ5I 79 79 139 ,B , 79 E19 i:p ,~ , LDOC= L B O C = 4 5 ° + a . OE Jfl-5} LAOC,YfVJ
AP BP
M i:f=t N
2
~ 1
Bir~
PM= ~ A P , P N = BP.
LCOE= LAOC=a,1Yf L D O E = LDOC - LCOE=
~
2
1 1 1 1
45°. i & % t ~ 1 1 4 5 ° .
ElrlV.
M N = M P + P N = T A P + T B P = T ( A P + B P ) = T A B
oc
4.NH.fr c 12979 i7'1$,Mr& fnM~
1 ) LAOB t E L M O N
1
7t3J1J+Jt fll
OD LAOM L BON,
= x 1 2 = 6 .
2
1
,~noo
1:E~~ s{JM;-f-t~J:at }Yf~ LAOC = LCOM = L A O M , LBOD = LDON=
P AB 2 ,
~,~ 2
PNB M A
1
T L B O N ,
0
002
79
L M O N L A O B
= 1 5 0 ° , = 3 0 ° ,
E!sJ
12911 79 s{Ji=p ,~ 79 s{Ji:p B ,
BP
M AP , N
FJr
L COD= LAOC+ LAOB+ LBOD
~
§ r ~ PM=__!___AP,PN=__!___BP.
1 1
2 2
L A O M + - LBON+ L A O B
= -
2 2
§ r ~ MN=PM-PN=~P-__!___BP=__!___(AP-BP) __!__AB
=
1
(
2 2 2 2
LAOM+ L E O N ) + LAOB
=
2
1
= x 1 2 = 6 .
1
2
(
L M O N - L A O B ) + L A O B
=
2
,1£,~ s { ] ~ ~ : i i ~ s{]*ltf~
~ _ t § r l £ i:p, MN
P ~~
1 1
(
~ t t ~ 5 H t , t ~ ~ r
LMON+ L A O B )
= = x ( 1 5 0 ° + 3 0 ° ) = 90°.
6. 2 2
NHJr ( CD=. 79
i;pf8¥ : AB= CD ,
2 . 1 )
~
1
(
( 2 ) EEi ( 1 ) 1 ~ L COD= LMON+ L A O B ) ,
~p
§ r ~ AB+BC=CD+BC, AC=BD. 2
1291] L M O N = a , LAOB=/3,
(2)!5.i+ff1¥:i;§:;kJ B C = ! A C , J l A C = 12 cm,
1
(
JYf L COD= a+/3).
~
2
ffrlV. B C = 2 - x 1 2 = 9 ( c m ) ,
4
mjt
~I~~fifR ~Mit~9=l89,~tgtJJj*
f } r ~ AB=CD=AC-BC=
1 2 - 9 = 3 ( c m ) ,
?fr~
AD=AC+CD=
1 2 + 3 = 1 5 ( c m ) . 1. D ~ L D O E = x , P ! U L B O E = 3 x ,
i&t ,JYf~
( 2 ) AB= 3x cm,P!U BC=4x cm,CD= 5x c m , ~ j g L C O E = 1 0 ° L D O C = 1 0 ° - x .
.SV-?t
f } r ~ AD= 12x cm. ~ j g OC L A O D , E ) r ~ L A O D = 2 L D O C = 140°--2~
s{]r:p~ , ~ ¾ a1Ji:f=tB ,FJf l29jg
LAOD+LDOE+LBOE=
12S}7g~ M AB N CD AM 1 8 0 ° ,
~ ~
FJr~ ,JYr~~
140°-2x+x+3x= x=20°.
3 5 180°
= B M = - x c m , C N = D N = - x
cm.
JYrlV.
2 2
LBOE= D.
60°.
~~
ffilHfr
2. ,JJ!U
~ L A O C = x L C O B = 2 x ,
JZ.IEl :1sr
MN= 16 c m , F f r ~ ~ x + 4 x + 2 - x = 16,
2 2
Efr~ LAOB= LAOC+LBOC=3x.
2 ,EfrLV1 24
ffl{(:q~ x= AD=
cm.
lz;l1-J
OD-SJl-0-LAOB ,Wr ~jLAOD=_!_ L AO B = ~ .
ffilHJ-r ( IE!
° , ° , 2 2
3. 1 ) jg LAOB = 90 L A OC = 60
tJJtfl~~
ti:J=t& J: 00 ::ltVrp*lt&1 l
;~
2_x-x
lt ] Pfr V~ LW
jg L COD= 1 9 ° . L A O D - LAOC = 19°, ~T~1
CE= - - AC,/JF= - B/J.
J
2 2
2
19°.ffr.(,;ft x=38°.PJrDJ L A O B = 3 x = 114°. I 1 1
=
J!Jrl)J
C E + D F = - A C + - B D = - ( A C + B D ) = 6 ,
2 2 2
2.
-i(f'
~~ ~ 6 ( (
?Jr~
WHR EF=CE+CD+DF= 10.
!9rlR,
l*J$B~·,~ooo 1
O C { E L A O B
~-~~
~lrn-El±~iD!U
~
r.tI1fB~jgiiftJJi:WilA
1ci1Will6~~It~Jff-, m i l , :i!rW
l . A
A ep r.tJ fifH 5E - ~ , lt1m tE 1il. i t t ~ f t :I! JR H
IP]~ E1r
H~~
0 B
~ ~ ! 9 r ~ ~ # ~ ~ * M ~ n M ~ m ~ ~ W i l A - ~
l!I
1
ii-9:m
j k 1 f ~ . A.
lzsl-JJ
LAOB= 100°, L A O C = 2 0 ° ,
Jk~~,5tJJtlj]
A.JiWOOJ:J=t;J:t;ff
2. B 10 AP,BP,CP,DP,
&r-~1
LBOC= L A O B - L A O C = 80°.
iHJo;
AB,AC,AD,BC,BD,CD,'$. A
1395f5H~,
lzs}-jg OM ~ L B O C
B.M~ -'=5M~
it#J}~-'=51frtJtis~t§IA] ,¾r,WJk~
DC CD
M~ ,
§ r ~ LBOM=_!__LBOC=40°. i!ij: f f i ~ ;
IP]
139 B
2
iEH~
c.A IE1ifo;
p AD j r 'C
,:tmoo
oc
§rl.R,
t E L A O B j r $ H t 2
~M~
D.EEWt~zraJ '~~:ftm,%1 D IE1ifo.
PA+PD>AD,i!i~
ii-9:m
B.
c ~
,i!i_t@:it•ffi~;
3. l8
A.34.5°=34°30'
i!ij:JJJHtJ,:IEiffJ;
B . 9 0 ° - 2 3 ° 4 5 ' = 6 6 ° 1 5 ' ,
0 B
'i!i~mtit~ffi~;
C . l 2 ° 3 4 ' x 2 = 2 4 ° 6 8 ' = 2 5 ° 8 '
00
2
i!i~J]Ht•ffi~-
D.24°24' = 2 4 . 4 ° ,
jg LAOB = 100°, LAOC = 2 0 ° ,
~
ii°-9:~
B.
§ r ~ LBOC= LAOB+ LAOC= 120°.
4. D ~ j g , ~ M ¾ ~ ~ A B E J 9 i = p , g , , ~ N ¾ ~ ~ B C EJ9i:p
~ j g OM ~ L B O C 139-SV-?t~,
1
~
/4\,E/r~
M B = ~ AB=6 cm,NB= BC=2
cm.
FJr~
LBOM= LBOC=60°.
2
1:E~~ = =
( D ~ ~ C AB J : a t , M N = M B - N B 6 - 2
~ _ t § r ~ , L B O M = 4 0 ° ~ 60°.
4 (
c m ) .
1
4 . ~ t f r ( 1 ) 2 ; 4 ; 3 .
A M C N B
:!mOO, a'~~K~...tat,
1 £ ~ ~
( 2 ) :(£ AB
~)~ D ( 2 ) ~ , g C AB 8 9 ~ K ~ _ t a t ,
B D
A C
A M B N C
{ N j g ~ ~ A B = 8 c m , g C j g ~ ~ A B Ef9i:pJ~' MN=MB+BN= 6 + 2 = 8 ( c m ) .
i&~
~ _ t } 9 y ~ ,~~ MN 1 3 9 K J . l ~ 4 c m ~ 8 cm. D.
Err~
B C = ~ A B = 4
cm.
+-J~im+?tat
s.c ,atttffitE
9=1faJ , ? t t t m
1 1 ! 5 1 2
{2s]jg BD= c m , F J r ~ CD=BC+BD=5 cm.
1 { £ ~ ~ 8 _ t ,
zraJ
?t~it~J~\~, ~-t-at#*1t?t~ -t-*~ ,s
- ' t * ~ ,
( 3 )
12 ! 5 11 3
~
g
1291'1 1£~!niJJ:~lR ){f mIJfU~mIJ,t,JFJ
5. {A¥tfr ( 1) A , B 8'~~5t§j1Jjg-2 8 9 J . l ~ 1 ' 1 9 0 ° .
~:if a t t t ~ : i f 1391§
f-0 JA J~ff~a, ? t # ,
14 , FJr AB = 16. 11 40 J.tjg 4 0 x
~
[z;J7:7
C D = 4 , A C = 4 , E f r ~ BD=AB-CD-AC=8. 0.5° = 20°.
~Jttt139~jfj:f½
~7:7 ffli=J=t~, f f r ~ ~ - B t ~ t l ,
E , F J t ! f i l j ~ A C , B D A'1°ft 9 0 ° + 2 0 ° = 110°.
i!ij:~
C.
1 1
[fr LV, CE= AC = 2 , D F = BD = 4.
2 2 ~uimfl{JJilfcarrm~
- - ' t ~ j i 1 % ~ ~ - - t - ~ l f i ,
6. o
mt*
m
a~
:JJn-~, nJFl~~~:ext~:P-~,
fifrld ~Jti
10. EJr ~1 %
EF=CE+CD+DF=
l!Jt
ff.Jill~¾
( 2 ) ; f 5 £ . 4 1i_x 5 6 , j!&ili; D.
17511')
[lqjg AB= 16,C/J=4)YfLV, AC+BD=AB-CD= 12. 7. B MN= 6 cm,BC= 3 cm,
Jg 5t j}IJ;l i i , ElrVl
IJ~
E , F' AC, B/J (t~ r~=t M B + C N = M N - B C = 3 cm.,9!1J
I E H j i 9 : L A O B = L BOC=
3x 2 x ,
J g M , N 1 H J 1J ~ AB,CDFJ0'i=1",,
?fr~
LAOC= LAOB+ L BOC= 5x.
}wQJ. AB =2 MB ,CD=2CN.
a'13¥-1H~,
EH~
~ - j J t , j ~ OE ;;f& LAOC
A.B+CD=2 MB+2CN =2(MB+CN)= 6 cm.
1 5
p)r~j AD=AB+BC+CD = (AB+CD)
+BC = 6 + 3 = 9( cm).
?fr~
LAOE= LAOC= x ,
2 2
Jt'x:mB .
5 1
J : . - A ,
(Diz§ -jJ O -jJ 1 [ ~ AB
fifr~
L B O E = L A OB - L A O E = 3 x - -x = - x .
2 2
L A O D + L DOE+LBOE=
180°.
§TQ).
1
119-jJ LDOE=90° ,fifrQJ. LAOD+LBOE=90°.
~-jJ ,ff¥Hf
LBOE= ,JWL2-l x=
13° 13° x = 2 6 ° .
2
tJ~ttCDIEriffl.
E§-;glf~ s'13f7t~,
OD ¾ . L B O C
119 J : . -
(2) -jJ -jJ 1 [ ~ AB
O
I~ ,
1
LAOE+ LBOE=
§TQ). 180°. E}f-12,l LBOD= - L B O C = x = 2 6 ° ,
2
[29-jJ
LBOE= ,fifrQJ. LAOE=
58° 1 8 0 ° - 5 8 ° = 122°.
E}f-12,l LDOE= LDOB+ LBOE= 26°+ 1 3 ° = 39°.
[29-jJ + ? t
OC L A O E ,
13.NHfr C
1 ) 2 5 ; 12.5.
1 1
°.
fifrQJ. LCOE= LAOE= x l 2 2 ° = 6 1
1
2 2
~-;g
1$:fm:
L A O B = 7 5 ° , LBOC= L A O B ,
3
tJ~it®IEWH.
1
@i&LCOD=a. E}f-12,l L B O C = - X 7 5 ° = 25°.
3
129-;g
LDOE=90° ,JWQJ. LCOE= LDOE-LCOD=90°-a.
1 1
312-:Jt
!Yr~
129-jJ 3:JZ-Jt E§-jJ OD L A O B , LBOD = LAOB = x
OC L A O E , fifr LAOC L COE=
= 9 0 ° - a . 2 2
~
fifrQJ. LAOD= L A O C - L COD=
9 0 ° - a - a = 9 0 ° - 2 a .
7 5 ° = 3 7 . 5 ° '
lzsJ-jJ L A O D + L B O E = 9 0 ° ,
= =
fifr
12,l L COD= L B O D - L B O C 3 7 . 5 ° - 2 5 ° 12.5°.
m
L BOE= LAOD 2 a '
90 ° - = 90 ° - ( 90° - 2 a ) =
Q).
Jill00JW7R,
LA'O'D'ep-;gJW>Jt
( 2 )
E f r ~ L B O E = 2 L C O D .
B
tJ~tt®IEliffl.
C
D
1
@[29-;g
LBOE=2LCOD,EfrQJ. LCOD= LBOE. ~
2
04--A'
"Sl..LAOD=90°-LBOE,
0 A
~ - 5 E 1 § ~ , ~-5E-¥:Jt
ep
EfrQJ. LCOD !ij LAOD OD
001 002
t J ( ~ i t @ f i ~ .
L COA.
14.NHfr ( El3~~1i
1 ) AC=AB+BC= 18+21 = 3 9 , BC=
~J:.ElrJ£,~itIElifflB9¾CD®@,::!t
3 C.
~-t~~
CD+BD=2BD+BD=21,fff¥ii BD=7.
9.~ ~
93 . 6°
E§-;g AC=AE+CE=AE+2AE= 3AE=
3 9 ,
NHJr »!00 JW1:E~%Ef9 fEJL'~ agJ.t~-jJ
i=f=t " ~ ) ] { "
fifrl2,l
AE= 13 ,JW 12,l BE=AB-AE= 1 8 - 1 3 = 5 ,
360°X26% = 93.6°.
} W ~ DE=BE+BD=5+7= 12.
12 51T
( 2 ) 12§-jJ CD+BD=BC,fWL2-l 2BD+BD=BC,FJr~ BD=
3
,EJr~
__!_BC.12§:3/g CE+AE=AC 2AE+AE=AC, ElrL2-l. AE
3
=_!_AC
3 '
= 125
m
2
'1T (
) •
3
1
!Yr~
B E = A B - A E = A B - ~ C ,
8
L ~~
m:tfr
*JJt
13~
[ ] J g ~ ~ AB Jg 1 2 , :3/g M ,
~
r=J:i
1 1 1
JW~ DE=BE+BD = A B - A c + BC = A B - ( AC -
3 3 3
fiJr AM = BM= 6.
I)),
Jg MC : CB = I : 2 ,
1251
I 2
BC)= A B - AB= AB.
3 3
MC=2 , CB =4,Jifr l)J,
Efr!)J, A C = 6 + 2 = 8 .
~9 0
~~
2
. Fi-11, ..,
Jg AB = a , r'.!lr DE = a .
~
Iv\ 3
f~tfr
J-§ j g L AOB; L BOC = 3 : 2 ,· .N Hfr C
°. IEJ-jg ,Jifr~:)
1 ) 26 65°.
L COD=90° L DOE= L DOC - L COE=
= =
i-fffl¥:
~ :faJ L A O B 1 8 0 ° , L A O C 52 ° , ( 2 ) L A O C = 2 L D O E .
~IJ-J~tt~ -f-0-
Jlf!Ea:
]3/f~~ L B O C = L A O B - L A O C = 128°.
OE L B O C , ]3/f L B O E = L E O C
~
= a , § r ~ : ) L B O C = L B O E + L E O C = 2 a .
fil_;/g f-51" ,Jiff~
OE L B O C L C O E = + L B O C = 6 4 ° ,
lzsIPl
L A O C + L B O C = 1 8 0 ° ,
JifrVJ
L D O E = L C O D - L C O E = 9 0 ° - 6 4 ° = 2 6 ° .
1 8 0 ° - 2 a .
§ r ~ L A O C = 1 8 0 ° - L B O C =
en
( 2 ) ( D ! z 9 J j O E : I f l f t L B O C ,
lzsl:3/g
L C O D = 9 0 ° ' L D O E + L C O E = 9 0 ° '
Jifr~
L C O E = L B O E = 2 5 ° , Wf kA
L DOE= 9 0 ° - L COE= 9 0 ° - a ,
JifikA
L B O C = L B O E + L E O C = 5 0 ° .
f)rl:J L A O C = 2 ( 9 0 ° - a ) = 2 L D O E .
1297'1
,Jifr~
L A O C + L B O C = 180° L A O C = 130°.
33. iiJtm C.
EB
8 . C @ ~ e y q ~ 2 - x + _ ! _ x + _ ! _ x + x =
3 2 7
»~
£\ i
1 2 S l 1 - J ~ ~ G ~ I ~ f f i 0 0 x & I A ~ ~ ~ I r R ,
9.
ru~
tlHJ!"a'"1i*~~l¥J~AP4fl::1f~, ¾
. . B x - 1 = 2
nffl:I rR1i ( 1 i l . I A , G I ~ 1 i
ffjftu}§- lfl
f1r 13 + x ) nffi
~
1 f * i , J t ~ ~ ¾.iij:~
B.
{ft.IA.
( 2 7 - x )
~ % t i : J L I ~ ¾ ~ A , ~ ~ - 5 c - r k : 1 f ~ .
2 . C A.
1itiffiJJ§- ~ I ZJ'filI rRA~ 8"J ffl" ,
~ j g "
3
~ ~A~~
B . j j ~ ~ a " J * ~ t t i l ~ Z X ~ ~ 2,~¾-5G-iJZJI~.
i&
Mr kA
13 +x = 3 ( 27 - x ) . B.
~
c.~%-5G-ZJZ1fWa~~5(, ~-5G-ZX1f*1IL
N::*
~
fil y'-y7m-+ - T y
.fft¥:j:Jj' _;lgjJ~ ( 2 n - m ) =
2
2 1 - - * ~ ~
D.1f*ii:f:t*1i , ~ ~ - 5 t - Z J Z J J ~ .
iij:~
C.
1¥J-5G-1X/Jff'
3. ~ ~
1
0 1
h~J;J 2 n - m = _!_m _ _!_=
Mtfr l2Sl 1¥J-5G-1Xnfli½,
¾ ; k ~ ' 2 2 '
pJ-3x2a-l + 6 = 0 x
DI
fferkA
2 a - 1 = 1 , J H f a= 1.
f]rl:J m = 3 , n = 2 - .
o,
1~ J I ~
re A 1t1 -c JiI
2
'"" B A , x = 1 1 - x = 2 , = 1 - 1 =
~
ti:it1 ¥:tiJil, &P ~~.tltJfW89ffl¥.
=2,1-i:Jil x = 1
-n-,*J5";¥iB9~1!
2
, r e {~A:1f~ 2-1
B x = 1 2 x - 1 = 4 - 3 x , 1 f t i . J i l = = 1 ,
~
t i : it1 ti:Jil t i JL1, NP ¾Jlt:1.fff 13'-Jfff. ffi imB1 ~ i t B 9 ~ ~ ' t i ~
1
= 4 - 3 = 1 , = x = I
, r e I 1 t A 1 f f f - 3 ,
C x = x - 4 = 5 x - 2 , 1 f t i . u 1 = 1 - 4 =
~
~ ~ » ~
t i JtI tc:itl t i ep ~.tltJJ~ l¥J !ff.
= s - 2 = 3 , ¥ u1 , x = 1
~
:tm:W:
,JJ~,z. i& iE1iJH.
1. a = b b = a , A
x+ 1 /. , 1 + 1
~n*
D , r e 1 { ~ A n ~ z = x - 2 , 1 i t i : J i 1 = z = 1 , t i
J_w
x =
i& ffl~.
,JJ~,z.
a = b a+c=b+c, B
~Q*
~ - ~ * § ~ , i& ffl~.
0 Bf C
ac=bc, c= , a ~ b
ill= t r i l l 1i Jll , ~p ~.tlt:1.f l i 1¥Jffl¥. ~
1 - 2 = - 1 , ¥ = 1
x ~
ffl~.
~Q:W: ,JJ~¾
$
a = b , b = c a = c , D
ii~~B.
iiJt~
A.
1""t A JYr kA iij:
" D x = 1 2 x +a = 0 , 1 f 2 + a = 0 , a = - 2 ,
~
zD.
2. ~ ~
=
NHfr ~%WITJti5HJIJ~-*
a,b,~A:1J3~mt.ft,f9T~~ a
a3,m~,
3t1~J;fi$139~
6. e y q ~ ~ - ~ * : 2 0 2 4 1 ¥ 5 J=J
=b.
133.lltnT
Ji=
J=J
1 . 2 x 2 0 2 3 5 3 t 1 t a ' ~ ~ $ ~ f ! + l 100.
~
~j:~
y 1 J j f ~ : 1.2x+ I 1 0 0 = 35 060. A. ~
ffl 'tfliffl'~;
,1-f}
A. 3
3. 6 x = x = ,
fm/J tkfi
,1i
B.F-EI
3 x - 2 = 2 x + I 3 x - 2 x = 1 + 2 , ~ % f f l ~ ;
im fJ!
1 , 1 f ,1~
= I ,
A I a-21
~ ~ C.r:13 7 - 4 x = 3 - 2 ( x + 3 ) 7 - 4 x = 3 - 2 x - 6 , 1 - t O ~ i . H f f l ;
ffJ?rn}
a = 3 EJZ a= I. Ftt;
1!':JfWi,l'~Jt
D. I - 1 = ; , 11']. 2( x+ I ) - 4 =x ,
~!Jg
a-3¥0,JifrlV\ a ~ 3 .
t. ,~~c.
flT-
a = I . ~_.X j ~ A.iHJr C ffi iJB1
ffi~-7G-,X JJ f¥
4. 1 ) x - 4 = 3. 2
~iUm
r-Jfiti 1i
J:. 4 , x - 4 + 4 = 3 +4 . - t t r m !:§-8-7ttrEJ
~r~
1tffif ,1f
7.
x =
1\i:ft1l~
( 2 ) 7 - r n = - 8 .
83 ~J.Jl (f}JE5l.W
jz'P:ITT{({f~~~-
1. C
C
WITiftt~D~¾ ,1i
7 7 - m - 7 = - 8 - 7.
c.
~tJHi
2. C 3 x + 6 = 2 x - 8 3x - 2x= - 8- 6. t & z
~
1 t ~
, 1 f - m = - 1 5 .
3.~ ~ 5
W-iJLif~*-1, 15.
11$J
m=
~~fr
1[jg*lllRWl,
IEJ ::Jg
3x - 5 .Ej-2x
( 3 ) - 7 x - 6 = 8.
?Jr~
3 x - 5 - 2x= 0.
~JZl.!PJBJj_mJ:. 6 , 1 i - 7 x - 6 + 6 = 8+6.
~JJJ!-.if#IPJ~JJJ! ,1fr
x=5.
1tffil
, 1 f - 7 x = 14.
~f}r ( ftJJn ,
4. 1 ) )]( ) J ~ 1 f - x = 3 - 2 ,
~JZl.fPJB~·~~-7 ,1~ x = - 2 .
if#IPJ~JJJ!
, 1 ~ - x = 1 ,
1
*
( 4 ) x + 4 = - 5 .
3
~ ,ft:Jg 1 , 1J/!r = - 1.
X
)](1ffflft:LJn , 1~
( 2 ) 3 x - 6 x 8+4 ,
=
fl!iJtllnJMlm\t"ft
4 , l i j ½ x + 4 - 4 = - 5 - 4 ,
if#IPJ~JJJ!,
1JJ1.-3x = 12,
* ~ 1 t : : h
1 1,1'~
x = - 4 .
1tmi,
1 i - 9 ,
x =
3
1 f -
( 3 ) )](1f ~ ~ J J n , 3 x - 5 x = 7 - 2 ,
if#IPJ~JJn
YW:itl!PJBt* 3 , 1 i x = - 2 7 .
, 1 f - 8 x = 5 ,
*
00/Jfllft
1-t:3/'.7 U l
!/&
= - : .
x
-.if# IPJ~JJJ!, 1~
A.tr~=!!_,JJ!U A ~it-J%!~; ( 4 ) 1*1fffl~JJn 5x = 25,
5. A a = b , t i ~
*
C C
1f
l , 5.
~ ~ { t ] g =
X
B.tr ,JJ!U : : f ~ i f ~ ~ ;
ac=bc( c # O ) a = b , iN_ B
~ t J #lft
C.tr JJ!U tift:. ::ff4if»]~;
2 2
= b a= ±b, C
a
,
D.*-+x x
= = lzsl::h1~~A .!:j~+3 B9ffiffl~,
J!U tic ;;r;'fif'ifNEiti'..
5 . A 2 x - 3
ti(ill;
6 - 1 8 , D A.
2
m
a t , * ~
- ~~~-..,.,~1 :f,J i-(.a'-J£~,t1.,-li!Hj: i-(. ?Jr~ +3 ,M1i ti~z
~ -Jfj rJJfr 2 x - 3 = ; x = 4 , A.
- +
~ A i L ,
iil.~3ftra1 -1---EJ:-, ~tl 1; ~ i i . ~ a'-J :ll
i-(.175
~
*
6. ~ ~ 7
~ i i *
:h-*, Jtf-t -Ji"~£~ -j,Jl, :ll5.t;f:f al.J.
~--Ej:-al.J :f; :x._
ffilHJr ,1f
f f f j J ~ 2x+ l = 3 x = 1.
~ArJJfriil~~~~--t-~--EJ:-,-~~~~~--EJ:-a'-J~ii
1E 1~AJI~
x= l 6-k+x=0,1J/!r 7 - k = O ,
;r:: ~~:h ~ ' ~,J 5.t;f:f :/..._,
?;-
~
MHi
k = 7 .
8919!it3/g 7.*~
i1¾:" .._,,
6. C
z.
_2_
if!Hi»fil 00 J:f 1~
3c.1fl-,
Ef3 x+y = y+ 2z. CD 7
mfrr
~ : : h C k , - 3 ) ~ " ~ ~ ~ x t " ,
m~JHIOO Z3c-V- ,1~
i:p x + z = x + 2 y . ®
mm~AB"1£4':ttnn: IPJ
§ r ~ k - ( - 3 ) = 2 x k x ( - 3 ) ,
r ,
1 , ~CD~YW:itl a t ~ 1~
x =
2 z . @ 3
,{w/.1:1
Jlff1v k = - - .
7
mm~AB"1~4':'i1:19!
1 , ~ ® B ' - J ~ : i t l ! P J B t ~ x , 1 l z =
2 y . @
*lUJHft
re@1-tA@,1f.
x=4y.i."~~ C.
8.JHJr (
fJt,
1) 3 x - 2 ~ 0 J]={,;Jlfil_P]' {t::Jg 3 x - 2 ~ 4 ,_·Mf
~
ffilHfr IPJ-"t1~~:r-t:
~:rt:E'~OOJtif~1JU ,?Jr
I . ( 1 ) ( w t ~ )
1f
x = 2 ;
1~~:WdJt~~j_t
at ,
*
J]={JIW ey 1-tjg
3 x - 2 < 0 3 x - 2 - 4 ,
=
~
t~
( 2 ) @ ; A:WJ Ji1 *9:il , ~.ffi n1 B~ ffi r.iJ
~ ~ ~ ~ ~ j ~
f H i x = - ~ .
jg 0.
3
( 3 ) x - 4 = 3 x - 4 ,
~
Efr~ffiJIWB'-JM¾
~t = 2 x= - ~ .
3 x - 4 + 4 ,
x - 4+ 4 =
3
x = 3x , x - 3x = 0 , - 2 x = 0 , x = 0. ( 2 ) 0 ; < 0 ; > 0 .?Jr Jfl:1{j,
3a+ 2 = - 4 a= - 2 .
I:)
f"B
1t A 1-ff. -
a = - 2 a ( I - 2x) + 3 1 , 2 ( l - 2 x ) + 3 I ,
= - = -
l - 2 ( 2x - 1 ) =
X ,
f ~ { f
_!__,
"i-~16~, 1~
= _
l - 4 x + 2 = x , ~:iz!; C.
X
2.*~ 2
- 8
i'.iJ(~ A.
iHfr
tLHm-~:iJij
5a+ 1 = 3 ( a - 5 ) ,
1~ 1~ A 't11~ - ffJlHf-}
7. C x = - 2 3x - x - 2a = 4 4 - 2a 4 ,
=
¾1i%1ij
5a+ 1 3 a - 1 5 ,
=
a=-41-tAB~1ff1Hf 4,-¼f8
a = - 4 . 1 ~ 3 x - ( x + 8 ) =
ltrJJL:fr#!PJ~:rjJHf
2 a = - 1 6 , 1 * H t a = - 8 .
%1i
3x-x-8=4,~J_D!__,ft#IP)~JJH!J- 2 x = 1 2 , . 1 ~ x=
i ! & ~ ~ j g - 8 .
"-*~
6.i'.iJ(m C.
12
3 §¼ I §JZ5IDG - l
- ~~
NHfr ~1mmxt
m»ll,JJltl½Ml=T~x)l~~(
1 5 - x ) i l t l m ,
X NHfr
k x - 1 = 2 ( x + l ) ,
flHiAW~, 1f
4 x - 2 ( 1 5 - x ) = 4 2 ,
,1f
¾1&%
k x - 1 = 2 x + 2 ,
-t:ffi% ,1i
4 x - 3 0 + 2 x = 4 2 ,
,mm,
f$rYUt#lll:l~tm
~r_m ._it#~~Jyf ,1l
, 1 f t - ( k - 2 ) x = 3 x = k = i
6 x = 7 2 ,
* l H t J g mlm.
1,1i
x= 1 2 , F J r I ~ V J \ ~ ~ x t T 12
fzs1Jg1f~~M19m~,Ffr~
k - 2 = ± 1 k - 2 = ± 3 .
~
NHfr
4. ( 1 ) 2 ( x + 3 ) = 5 x ,
Ffr~
k = 3 k= l k = 5 k = - 1 .
~ ~ ~
-t:m% ,1ij
2 x + 6 = 5 x ,
-i
~Jyf ,1i ~~#~
2 x - 5 x = - 6 ,
9.NHfr
-fr#IP)?RJJ!
( 1 ) ( - 5 ) * ( - 2 )
J t } - 3 x = - 6 ,
*~1,tjg ,1~ = 4 x ( - 5 ) - 3 x ( - 2 )
l x = 2 .
= - 2 0 + 6 = - 1 4 .
( 2 ) 2 - ( 4 - x ) = 6 x - 2 ( x + 1 ) ,
1~
-t:ffi%, ( 2 ) fzsljg(3x-4) * ( x + l ) = 8 ,
2 - 4 + x = 6 x - 2 x - 2 ,
m~
~Jyf, 11
4 ( 3 x - 4 ) - 3 ( x + 1 ) = 8 ,
x - 6 x + 2 x = - 2 - 2 + 4 ,
J i
-fr#IP]?R)yf ¾ffi%
1 2 x - 1 6 - 3 x - 3 =
8,
, 1 i - 3 x = O ,
* t t 1 t j g ~Jyf---fr#~?Rr_v! ,1f
1,1~
9 x = 2 7 ,
x=O.
1 fWHlx=3.
( 3 ) x - 3 ( x - 2 ) 4 ,
=
2
ffi
ilB1
f W - 7 C i - , ~ 1 i f i
4
~
¾ffi-'%
,1{}.
x - 3 x + 6 = 4 ,
- - * f . t f g
~J_m,
1 i _ ! _ x - 3 x = 4 - 6 ,
~~ » ~
2
3y-11 7 - y
l D 1 - ,
~
il'-'Jflll:J~1m,1ft--
x = - 2 ,
4 2
¾?}-BJ:, 1i i!&:izt
4 - ( 3 y - l l ) = 2 ( 7 - y ) , D.
4
~
*~' 1-t.rJ /.§_
1 , 1 v x = s ·
*~~=.)±~
( 4 ) 4 x - 3 ( 2 0 - x ) = - 4 .
i c - ¾ ~ - i t a-t , ¾ ~ - f t
f@{f.- *-. ~ i i . ~ --=- ,?f, : ( 1 )
~ ,1:.¥. ,
-t:t&% ,1i
4 x - 6 0 + 3 x = - 4 ,
)ti
Ql..~*~~-ft{r-J Jfi. J1l
f!p
flt~,1:_¥.~ ,J,¾,ffi-~,
I t } - ~
f$Jyf ._-fr#IP]~Jyf ,1f
7x = 5 6 ,
1f,
71"-it
11
~ ; ( 2 ) ~-Jt{f.J 3 )
~~~ *~~ .1ffi; ( ~ <f.J .1ffi
* f x : 1 t j g l , 1 i j x = 8 . *-
*
¾ ~ - I t fofr 1-¥- ,a. 1- #-;tro ?ll , f5l
Jl:t
If; , ~ ~ ~ ff.J ~ ~
(
WHfr 5l, 5l,
5
~WJ~~*~ x mu~~~~~ 6 0 - x )
1- l l !, A ,a. _bM· ½ , #-JJ\!. ~ # - .
~ .1ffi ~
JI~
fl.HiR!~
,1ij x= 2 ( 6 0 - x ) + 6 ,
*~~*~-ft.3/9
~M-% ,1ij
x = 1 2 0 - 2 x + 6 , ~ ~
tm ,1Jf§1 1ft- -$
2. D A 1, = : ,
t
t =
~1-9! __ ,g..3t[AJ~:tfl! ,113x=
126,ffiHf
x=42.
r_m~~;
6 0 - x = 6 0 - 4 2 = 18.
m
1f
£
% , +
B j f 2 - 3 ( x - l ) = 5 2 - 3x 3 = 5 , J]!
J,ITT , ~ ~
5i:,D!¼J*~i2"~
~ : Y l ¼ J ~ ~ ~ ~ 42 181i:.
~~;
f i l i h t! l Ji - z
x - l + . a.
X ..l-1.. /.fl. , :.....
Jft! , lfil y~
+ w_
C 1 f = 1 -zorH""" , 'fir 2x - 3x 3 = 6 , >Jn
3
'2~ 7'J Jl)i~~ a'~f(Jl(:,
6 A x = 3 ax+2 = - 4ffl~;
00/J f l f t
1t%iEfifti. iotm
D ~ , D.
B ra;~~,r:rm..,a l5x _ 1.5 - x = I . 5 - x =O
Fii:::v,Sx _
7 5 5
. J,JJ;J:\ag~1v 0. , m ~, · ·
~-n~ -2x - 1 x - I 6 2 2 2
-tdt-Ht,
3. C - - - - = 1 1 i 3 ( 2x - I ) - 2 (
x -
t..tm
2 3
B.
t..tJJJ:A
1~ ffi 1± ¾Jt -IIJ:
tHMJfUl ,tli:R~~~-*5t-HtB'~u~PI1i
1 ) = 6 , ¾ 1 i % , 6x - 3 - 2 x + 2 = 6 ,
8. B 2 x + 4 - 3 x +
st, t..tz c.
= =
Yr
? t ~ W , t ~ ~ : b o : m - 1 % ,
k 2 , !V.-x+k - 2 .
re
x = 4 1 - t A , 1¥J-4+k = - 2.
1~.AJJ¥:1J~1i
~%-
4. C - 1 2 x ( ~ l ) - k - 1 ~ 3 k = 1 , - *
x =
fWHt
k = 2 . i i ~ m
B.
5t-HJ:1~ 2 ( - 2 - k ) - 3 ( - 1 - 3 k ) = 6 , ¾ f f i % 1 f - 4 - 2 k + 3 +
5
9.~ ~
= ~r.vHt fff-Ht =
~r_m "~#- Yr 2
LV.
9 k 6 , jPJ 7 k = 7 , k 1 , k ~J
1.fi
1J
t__t
C.
1. :i2g 2kx+m x - n k 2k+m
/.Ef_
~tfr ~
1~ A
x = 1 - - = 2 + - fo- - - = 2 +
3 6 ' 3
x - 1 x+3
s. ,
NHfr CI)
*
z =
4
l - n k
, x i t
- , t H J M f ( rn/1]t~P:f~
4 + n ) k = 1 3 - 2 m . k
%-HJ: ,
¾ 6
1 f 2 ( x - 1 ) = x+ 3 ,
1PJffi, ( Yr
'tRJJxJL.,
LV.
4 + n ) k = l 3 - 2 m n + 4 = 0 , 1 3 - 2 m =
¾ m % , 1 i 2 x - 2 = x + 3 ,
,_~Jf-
jq)#RJJ1,
ftJ_ITT 1 f = 5.
X ~ ~
O,J3JTIV. ,J3JTIV.
n = - 4 , m = m+n= , i ' i i [ ~ ~ j g ~ .
2 x - 1 x - 2
( 2 ) - 3 - = 1 - z ,
*fffl{Jt
¾%-HJ:,1f 2 ( 2 x - 1 ) = 6 - 3 ( x - 2 ) ,
~ffr ( = =
10. 1 ) :fmjJffl x - 4 m + 1 0 , 1 f x 4 m - l .
¾m-1% , 1 i 4 x - 2 = 6 - 3 x + 6 ,
:fm::JJlj_!__(
t$J_m, x - 5 ) - m = 0 , 1 f = 2m+5,
1 f 4x+ 3x = 6 + 6 + 2 ,
X
2
~Jt.
jq]#RJ,ITT,
1 f 7x = 14,
1
~nffl
12s11J*T E07Jffl
x - 4 m + l =O ( x - 5 ) - m =
.¥~Ht1J x
2
1 , 1 i x = 2 .
1 3
¾"~-jfjJffl",
0
( 3 ) - ( x + 4 ) = 4 + x ,
2 2
Yr
LV.
4 m - 1 = 2m+5.
¾ 5 t - H J : , 1 f - ( x + 4 ) = 8 + 3 x ,
fWHf
m = 3 .
¾ m % , 1 i - x - 4 = 8+3x,
7Jffl
( 2 ) 2x+ 1 = x - 2 , 1 f = - 3.
~ x
t$J,ITT,
1 f - x - 3x = 4 + 8 ,
{$ 2x+ka b k - 6 + k a _ b k
i=;i:;: P -1:rrr J. /.Et
1 x = - 3 \ i / , - - = - + 1 - v - - - - + .
m
VA1u
~#-jq]~J_ITT , 1 f - 4 x = 12,
3 2 ' 3 2
.¥~1-t1J
l , 1 f x= - 3 .
~ J J . , 1 J ( 2 a - 6 ) k = 12+3b.
*
y - 1 y+2
; g x i t 1ffoJ~JJU&tfS~}t,
k
~
( 4 ) r - z = 2 - - 3 - ,
Efr~ 2 a - 6 = 0 , 1 2 + 3 b = 0 .
"t?t-8J:,1f
6 y - 3 ( y - 1 ) = 1 2 - 2 ( y + 2 ) ,
fWHi
a= 3 , b = - 4 .
¾M-%
, 1 i 6 y - 3 y + 3 = 1 2 - 2 y - 4 ,
lV.
f}r ab = 3 - 4 ) = - 1 2 .
X (
1~
,_-fr#
f$l:Vf fA]~t,w,
5y= 5 ,
~~1t1'1
l , 1 i y= 1. ~~~ -· ~-~~~-~*-~~
WHfr C CD; ¾5t-BJ:mt,
6. 1 ) 1 ~7(=J~ 6. 19U~
- 4
~~
iHfua'-Jffff~:i~JUnr:
fWHfr 1f
( 2 )
f m j J ~ l = 3 , 2.
2 x - x::;:
2 x - l 2 - x
a - x a - 2
- -- · = l . ~1Hl~iU~x=21tA}J{i2+- ·
=O t : J : t , 1 ~ 2 + - = 0 ,
2 3
3 3
~0-ffl:, 1i
=
3 ( 2 x - 1 ) - 2 ( 2 - x ) 6. fm:1~
a = - 4.
-*1!1%
,1f
6x - 3 - 4 +2x= 6.
~ i t 1 ffilHfr
~:rff!
,1QJ= 6x+2x = 6+3+4.
i f fi=
1f
IW]~t_w, =
8x 13.
*""1'1/
13
-* 1 .
77 J _ / if g , 1/§·q_- =
~ 1. . X 8
x ( m + l ) = m+m:x,~:rm ,
tt
1{:J
fj;J}n, m.+ 1) Jt·
qeJ
-m,1: lr.fJ 2x 12. 8.
X ( =TT/,, =
~3'8-8-.1-B~
x m + x - m x = m , * ~ 1 t } J ,q#
I
x=6.4.
-fr
R 1"~
j:f-: IP] Jj]! , x = m. ( 3 ) } J f t j f ~ - * 5 t -II:J:, 1ij 2 ( 4 x - 1 . 5 ) - 5 ( S x - 0 . 8 ) = 10( 1. 2
- x ) .
I - 5 2 1 -.
+P ;;§.
¼El !Ui
::,,'r.". m - r n = , ,(;,Tld_ '-~'.El_· m= -
rrz11J'!i~:griJ· ,u
2
4
0
¾},!;% ,1f
8 x - 3 - 2 5 x + 4 = 1 2 - l O x .
x=-+.
1f
f$tff!, 8 x - 2 5 x + lOx = 12+3-4.
~ r t
IWHfr 2-3(x+ = o,fuH~
2
t )
i t f f : I A ] ~ : t f f ! , 1 ~ - 7 x = 11.
1
ltJ * T B'-J1f~ x= -~
.1 r t f W 139fti~.EJ
2 - 3 ( x+ I ) = O x k+x - 3 k - 2
:~U&1-t1'J 1 , i i .
2
sgfu¥E.7-Jffl&~,
2x
=
1 ( 1 ) 5
s.NHJr 3 - 3 = 6 ,
x - 2 026
P,JH:t*T
B'-Jfff;7'J
B ~ 1 f l i k + x - 3 k - 2 = 2 x x=_!_.
.x
2 3
1
2 - 1 s ( x - -- ) = 5
1
2 026 '
VJ+-
k + -
M 3k-2 fmtU 1
- 1 .
= : , =
- 1 s ( x - -) = 3
2 026 '
1 1
x - - - = - - .
2 026 6
.JHfi ( 1£JfHimY~s'-J¾N.
1 )
1 ) 1 34
§ r ~ 11+2 - - - x = 1 1 + 2 x - = - .
(
2 026 6 3
( 2) EB! [ 2 G - : ) + ; ] = , i J 3 ( x - : ) +2=
~p
t 1 , 3 x -
x - l x - l x - l x - l
6.NHJr ( o.
x=+. 1 ) - 3 - + 5 + 7 + 9 =
2+2= 1,/m1i
1 1 1 1 )
1-f (
g
~ J _ I , x - l ) S ? = 0 ,
I I I
(
.NHfr , 1 i :
¾1&% 3
- 1 - 3 - x = 2 ,
1 1 1 1
!
lz;J7')3+
~rm , 5 7 9 # O ,
1 i -
't$JJk&t-JH'fJ
x = 6 ,
O,ffH-f
§ r ~ x - l = x = l .
7J~j;i;jJ2lffll*-;
,1l
x = - 8 .
( ) ~ 1 J x - 2 3 x - 1 9 x - 1 5 x - 1 1 x - 1 _
2 10 0
- 2 - 4 6 + - s - + w - - '
W A-SJ:~ JJi flj
~ ~
1 f = 1 + 1. 2 - 0 . 3x 13'-J ) f l
rh Jj\ *Ir x-15 x-11
x - 2 3 x - 1 9 x - 7
1
3
0. 0. 2
~
:JJ /'.J ' ' FJf
~ - 2 - - 2 + - 4 - - 2 + - 6 - - 2 + - 8 - - 2 + 1 0 - 2 = 0 '
*
lOx _ 1 2 - 3 x
1~,l~·rr,1, mui:~
-t=t- J4. F.t-.!fr/.- /.E ~ ,
·l"f:J::'.J--1 + - - .
1:.:r.JJJ.!..JZillx.;~ x - 2 1 x - 2 7 x - 2 1 x - 2 1 x - 2 1
xx.1rJ~/-t-~
',JJ
' 3 2
NP
2 4 6 + - 8 - + W = O'
IR~-l-i\a'-1£.-t-
~ - J L - * - . - } j - i : 1 . a t , ~ i i . I ;
~~~
F J r ~ ( x - 2 7 ) (_!_+_!_+_!_+_!_+_!_) =0.
~~~~~a'-1£*~~,~m•~a'-1£.*~~~~a'-J
2 4 6 8 10
l l ~ Wf-~-JfJ ,-¼~-BJ:at , ~ ~ ~ i i - . . 1 . ~ 1 t . 'f Jfl
~ ~ a ' - ]
1J , 1 1 1 1 1
0
~'*- ~
j J 2 + 4 + 6 + 8 + 10 # '
t1.~ a'-J J l t2. !£f- -JfJ , a'-31.1~ ;r,:: ~ -
UtAt
~ ~J,Ji
1
1
x=27.
§ r ~ x - 2 1 = 0 , f W H f
20x+ 10 _ = lOx-10
Mir:: ( ) ri!it:ff!.~JJI!
/.§_
I 1 + 1.
1v
. ~ ' f l l
1;r,-,1J
1):±. ,
3 4
12!1itll*~HJ~~a~
¾ ¾Ht , 1ft
4 ( 20x +IO) - 1 2 = 3 ( 1Ox-10) + 12.
- 7 t - , * / J i i f a J ~
~M-%, 1{t-
80x+40-12 = 30x-30+ 12.
~ : , g * T
¾ - 5 G - Z X
~JJi,1i U S x 1 ¥ . J j J ~ ( k - 2 ) x 1 1 - 1 0 = 0
8 0 x - 3 0 x = - 3 0 + 1 2 - 4 0 + 1 2 .
k-1
15-Jf-lP)~J_m, 1~ 1f;@,
50x = - 4 6 .
Efri:J
* I k-11 = l Q ) , k - 2 ¥ : 0 ( 2 ) .
23
77''./.
"§ -
1-tJg
I , 25.
~ i-;cf x - -
1:BQ)1~ 1,ffH~
k - 1 = ± k = 2 ~ 0.
JJtJfl~-*5fHJ:, ITT®1i i&~
( 2 ) 1ij 5 ( x - 1 ) - 3 ( x + 2 ) = 1. 8. k-;62.lfr~ k=O, B.
~frs-¥}
,1-f}-
5 x - 5 - 3 x - 6 = 1.8.
2. ~ ~ I
WHfr
rt1-jc -- ? X 1 f W ~ ~ S l ,1~
~JJJi ,H=J
5 x - 3 x = 1.8+5+6. a + 2 b = 0 . a - t = 1.1 i ~ M -1% ,1~
f8I(: a = 2 , b = - 1. 2x +2 - 4 = 8 +2 - x.
--~*
EJr J;J
~:im 1f
a.+b = 2 - 1 = 1. lf:lJ~J.y!,
3x = 12.
~*-r
3.iHJr ¾ ~ .ft *~1t1.J
1
E1~1r*-fil(m+2)x''"' - - 3 = 9
1 , :fi j = 4.
X
X
J t i ,
?!Jc
- 7[j-,~JJJie9mzm
3
13.
I I - 1 = I + 2 =/:- 0.
~ ~~ m. m
m1aM
83 1~
=
I m I - 1 = I , - 2 = 2. M~~~~ ~ ~ M ~~ ~~
m ~ m
133 1~
+
m 2 =/:- 0 , m =/:- - 2 , § r I;) m = 2.
!Afflft»~
{ t A
4. A 1E1i x = 2 2 ( x + m ) = nx,1~ 2 ( 2 + m ) = 2n.
26
lzsJjg~-'t-K1fWEB-K1-J cm,f!JrVXfl1-J
1.A - 2x = ( 13
~Jlll ,1~ iiJ~ x
A.
m - n = - 2 .
2
5. ~ ~
5
-x)cm,*11Lf:1f 13-x.iiJJ2t
x - 3 = A.
- 2 m + 6 = m - 9 , f f l H J m = 5 .
y+8 4+8
/i\7.'¼ -~ _ _
/.f=l
6. mq:'ffr 1 f g y - 4 f t A 1 r W -- - m = 5 ( y - m ) , 1 ~ - - - m
3
3
2
3 0 x 3 0 = 9 0 0 ( cm
) •
. ,r-v. a+x a+2x a+ I a+2 iiJ~1'-iE1f%g~J=rB1JffijfJt~
/.a 2
900 cm
r:t
1 ~ A 1 n . : E - = - - 1
, , 1 1 0 w - x = l 1 ~ - = - - 1 •
2 3 ' 2 3 '
~rJ~. :f-'.EEJ
:t,m~:
( 2 )
ffflf1~
a = - 5 . i i J ~ D.
~iE1f%t~J=ra<J:ift-jfjg
cm,
8.*~ y
- 1
EEJ»lf~ ,1~
6 ( y - 5 ) ,
5yX2=
x - 1 3
r=
fw.Hi
. - 7 . 5 ,
WHJr
fff¥:nW
= 3 x - 2 , 1 ~ x =
2 5
lzsl~.IE1rW~J=rl¥J:iil-K~m~1g~~,Elr~ffi=~~
¾1¥J-K~l¥Jffij~~~~ffi-~~¾1¥J-K~l¥Jffi~I¥)
¥f
x = 2 _ 1 ~ A* W x - m = x + ~ -<Iill1!J: m = - 1
3 2 3
,JJ 'lfff .. ., .
2 { t f .
M#r : n w ~JflH~ JH~
9. 2x+ 12 = 0 , 2x = - 1 2 , x = - 6 .
~
!¥Jiff.~
fflJMtm ,1i jg1fW
x = - 6 + 2 = - 4 3x+a = 0 x =
f t A +a=0,JH~
- 4 3 x + a = 0 , 1 ~ 3 x ( - 4 ) a= 1 2 . E / r ~ ~
x - 8
, i J z c .
=
2
~ T a<J1f{£ 1¥JM W
t t 1 f
a= 12 B f , x 3x+a = 0 2x+ 12 =
1ft :k
0 (t~ 2. 6 . 5x +45 7x+3
~~ =
NHJr
~ffl~~'tWi5l,$1¥J,~vrt~~~, eyj!J1f~'1
1 2
Mffr (
1 0. 1 ) ~ ~ J m j f - ~ x = 8 { ~ A x + - 1 = a+ x -
rh
2 4
'T',
5x+45 = 7 x+ 3.
/ 8+ 1 8 - 2 7.ffilHfr A ,
~~~$~~~-1-1
x
1 f- - l = a + - .
2 4
f!HiHm~, 1~ fW-Hi
4x+ 3 0 = 5 x - IO, x = 40.
~:1*~$1¥Jt't~ltJJ A.
~
4 0
~lll!,
1f - .frirt,1f
I
= a + ~ a = 2.
fmjJflft
(J<J~ :¥
lfr ~J,
" a " ~ -jg 2.
2 Jl!rn
m
( 2 ) #J· a = 2 f\:;AJJJUff.i ,1~x+ l _ l = 2 + - x . e. A i&!: :l! ffli 7Jqm: T 5l , -I* ag i:,Jc I (
x 1 - ~ }
1
2 4
* 5t
,1f/. T 5 l ,
P:j: 2 ( x + ) - 4 = 8 + ( 2 - x ) .
J~
t~ (
f/tt\HWL\iii:,
1 - } • = 9.
1
ffl~1~
[0.
=
X
JlJJ(:ill;
1
Jijf-~~~fmJJ(fc[
10 -f A.
7 ,
i&UMMH.fil J-J Jl1J!ffHtHr'1 i!Mt :19 :k Jfffi :iaWt 7-1
L a'1
1
9.*~
15
r'( ,
NHFr ·rn:i.~ r11J ~1=1 ~-r-L~ mu c
11 ~i
11s jg
~ 1 x ~ -~ x + J__ f§illi at, fr~% B'~ +:*Jff ,~,fmW, t i itt ~p
/f1}~ ~J Mfr~=
9
J~'
5 )
x+¾x=
~
1U7tl t~ 1 f ~
1. i'i5(;12] A.
m 1 t ~ ~
.1ij x - _ ! _ ( x + 5 ) = 5.
. 2
2.*~
25
ffl~1~
=
15.
X
NWr 1M:foH-1£f:ft7J< i:p B1J-1¥-illifil1t¾
x k m / h ,
19r~~~rnJJM14ts{J¥-=f-L~1g R..
15
;f:JHJ,UJi 1f
j f - , 3 ( x - 5 ) = 2 ( x+ 5 ) ,
O. * ~ 5
ffJIHl
x= 25.
NHfr ia: lE 1 f % b 89 Jl2 * 7'] JJ!lj lE 1r % 89 Jll * jg
x , a
)3Ji-~~H-1±"Jj(t:p81Jfilj~Jt¾
25 km/h.
lEJI% 89Jl2*Jg lE1f% El9Jll-L~-Jg
2 x , c 3 x , d 5x. EEJ».fil
x=
~ 1 ~ ( 3 x + 5 x + 5 x ) x2=26.fHfHij I.
1f £.*-4tt i t l t x
~ - - 1t:it1- ; _ * - ~ : ~ : i t . I =
J u ] ~ {r-J
EY~Jll*Jg
5 x = 5 , $ l E 1 r %
at
Ji)r~ d 5. i t J t 4h 1*-itll i t ; i t
lvi ffit ( ffit (
fa] ; 11<- ) = + 11<- ) J5Q. ( 11<- )
J1
-*~
i t £ i t .
1 50 *1 #-it.Ji. - ffit (
=
7j<. )
mtFr ra115,
ia:Jxt -=p~fi!:st fmtJ~ B1J JJJHt
1g
k g ,
x
NH.Ir
3. (1 ) 60x+ 105x = 480.
t H i » ! ~ , 1f
x - 8 0 % x = 1 0 0 - 1 0 0 x 9 0 % .
( 2 ) 60x+ 105x+480 = 620.
ftJIHij
x=S0.
( 3) ~'tR:$trL~ 1J\at '5i~L.t'/t$,
y
ii1Jxt .:P~fi!:atfaJJ5 ,t:mifJ~B1J*7J<tjg rttstfmtJ~
s o % ,
*fflJm~, 11Hf :NHf
105y= 6 0 ( y+ 1 ) + 4 8 0 , y= 12.
81J
Mtlt
-Jg s o kg.
~:'t:1~$trL~ 121Nit'5il~LUI$.
*,
JHfr ( ~itJi!f1f~J% fa], 83/m~ ,1l
12. I ) 7 x + 7 = 9 ( x
x
~-ffi¥trr
M:t&B1JReJ.!-Jg
A , B
~
x
f t H f
- 1 ) , = 8.
x
A ) .
3
i1i / . a ~ - ~ =
7 x 8 + 7 = 6 3 (
-H3 -Hi! Br.t
' i v 2 00 300 .
'1'1-'< 'J}p m!i
JI!,,
~:~lis1f~J% l'aJ ,¥1JT itJ%~.
8 63
M i l
! , x=
1 soo.
*·
fisl7J&laJ/%!i~ A i ± A
( 2 ) 4 ,63-,-4= 15 OO±il!sB~Re~jg
~ : A , B I 800
EJr~~YiH!l i'aJ~J%.
16
j ~j J ~ f t
rn~1E£r fsJ1H1E£r fsJ
, ~ r f L 1 J r 1 t l ! ,
10 20
5. ~ ~ 9 ~ 11
fsJffiHm~~N
1~iT
16 o . 9 x 2 5 x 1 6 = 3 6 0 ( ~ ) .
NH.Ir ~15
~tll 1Mt, M$tf1Re -=f*,
2 0
x
ro ~ r faJwtm:i:i fsJ, ~ r - t t J r f t ~ ,
20 2 0
-=f*Bt
~M$ffiifliruiffl00
20 , 8 0 x - 6 0 x = 2 0 0 - 2 0 ,
fa]J%~~1t
1iiT
2 0 0 . 7 x 2 5 x 2 0 = 3 5 0 ( ~ ) .
fffl1f
x = 9 .
lz;]-Jg 350<360,
He
~M$if-lH~J5if-ff -=f * B t ,
20 8 0 x - 6 0 x = 2 0 0 + 2 0 ,
-Nrx 1m1nn
t-¥q-:, 1±, ra11%
eJr B'~" fk:g,, ~ ® A ! l
20
~
frrHi
x=
11.
i ;• .
3r~ili~J§ 9 wt -=f*·
111N1t, m$t1300
2 0
~ ~ t i vc 6.W Hfr c1 ) 1M:*~*¥1Jj($v~agHe~¾ -=f*,
x
c mu~~$*
15 5
WHfr H,
~1m~1m~w~1*fJUg
> X X
1.., _ 1 x
5 0 - 60 = 60 - 60 '
JJ!U
5
1¥Jt~~jg
x f r ,
fWf.1~
x= 50.
20
-=f*·
:*-~~n~JJj(1f-v~1¥JRI~~¾
~ s o
x+icJx = x=
-ftx@1J., fWHf
fij 1 , 0. 8.
~*!JHT¥f-aj(tf::ff 1fntr 5t1*¥Ui8Y<$ti!i.
( 2 ) 5
5)
o.8
:mfvgtft¥fia<11*m:J-1 H.
~
5 0 15
m
JJI~ 1tl!i tUf. ifil JJt :I& so + so -
~ !¼Y ~ ~ 60 - 60 =
1¥.J
(
50
( 2 ) 0 . 8 x l 000+[ 1TX(8+2)2] = - ~ l 5 . 9 ( c m ) .
f * I M ) .
- 'Tr
7 5 (
n:
T*IA'-t.
flt!i!iftffi~4{;-'f ti~lIBHt~
75rf.tfHJt ~mJ®~raJ~~~~m~
(I)!Ox;l2(x-+}
~m.
~ ~ # · r t
' t
loJ
7.fHIT ~-Jfj ~jm_ fl~~~~,
i)t ' -
m
_:::.. J l &. ifiJ it!. ifiJ 1& i . i t :iil foJ fl! - M.
{El {El ifW -1-¥- , -
;3._ ~
!Ox+ x-+ ) ~-}f
-t
,& ~ ~ ! , ~ ~ : # J i & ,
EEJm[i ~ , fij {i-11:i~.¥.Z;fP~ frj-};~.I~Jfflf-.
( 2 ) 12 ( 18.
=
- • ~ a ~ O O M M , ~ ~ J l ~ ~ ~ ~ - - } f ~ ~ ~ ~ ~
fffIHf
1.
x =
--j;~~~~~-r--•~~oo~••,•~~-}f«
Aif§ 13~ {1l1-J
: If'
Bi , 1.
~ ~ "l._; r;,j ~ x
>tfuf.
tLUJU! , W-LA 1391§ ~,B c,
( 3 )
j g
~ ~
JJ!tl l O x l = lO(km) 1 8 - 1 0 = 8 ( k m ) .
AC= , B C =
ffi ilB1 t~~foJ~
3 !:§If~foJ~
hU§~,B c B9~tfiR%fiJg
3f~~,
If'
l O ( x - 1 ) km,
Jl~1J~
1
~,B
}At§ ~f:I,
ep 1J\Bt, 3f
l._;{t,~, 3 min, C l._; A f l ~ f i
20 * t t
* f l " 11l- E8 ; \ j J r f ~ . , iJYPT tJU!J 5c" , ~tl Jf
1. D 75
12(x-l- ~}m,~P(12x- ~}m.
2 ~79
380x0.8-x=75.i!i'Jc~
D.
g j } ~ j g
2. ~ ~ 2 000
at, Mtfi ~ l f J F ! ! ~ ag.1JZ-*1il:f!nroa9Jw:1fl-jg 5clEJ ,Plu
CDtEG~...tlt'BU, It' ,G WiAtfiRE+
JlJfij
km l O ( x x
l f l f Emffi.Jg ( 5c,
x - 1 0 0 )
63 1
= 1 2 x - - + - .
- 1 ) *fil!J&-
, 1 f ( x - l 0 0 ) - 0 . 9 x = 100,
5 3
ooo .
fffIHlx=2
17
.(w/.S
Jtff1v
x = - . ooo
Wr~lflf~~Em.1JZ-*1il:f!nroag~1fr;g
7G/~.
+
2
15
3.~tIT 1,~l~lffi' tfli ag;iit,ffr:Jg jc/14,
X
at ,
®tE ~...t It' FA , It' , Wi ,A_;HJRE 1lJ fij
km 10 (
Z:, Z:,
x
1f
* f f l ~ J l , x+20%x = 200x..2_,
10
1 63
- l ) + - = 1 2 x - -
3 5 ' fffIHl
x= 150.
:l~lffi' E8:itt1fr;g JG/14.
£
150
2 2
~
.
16!7/.S
Jfl!f:1v =
15
X
4.~tfr ( )~i~lffi' £Af1~*1fl-;g4iH4 JG,
I
x
{ : & ~ ~ , 1 f ( +8% ) x =
1 1 800X0.9.
fuIHl
x= 1
500.
~ : i~lffl' £ Af1~*1fr1g4ff:14 JG.
~ff31J,~foJ~ 1 500
~~~
~~1fr JWJ l*Ji~lffi' £ ag{~-~tl:D1ZW< I:t~tftmi
( 2 ) } § - ~
W-Hfi
19U ~
E , W,J)__~~{jzif[Hfi,
min
~
x
-JWJ i:*Ji~lffi' aM~-~lt:l:ft1Ja 14,
£
m
80 5 0
rti ~B,m~~, 1/.Sv x x - 8 x= 4 0 0 - 1 0 0 ,
1&~~
ITT
4
, 1 f ( 9 7 200+1 800+m) x l 800x0.9=97 200.
IH'It
MH'It m = 6 .
x=
15.
~:~1frj§-)Wjpg*1fffifliagffl·~-D1Z*~~1frmi
:g: M A ~ ~ r k t § ~ .
15
min 1 § ,
~ r t 1 l*Ji~lffl' £ Aflffi-~lt:l:f&im 14.
M~
6
JWJ
~ x ~ ~ £ J J ~ ~ * ~ N ~ f f l ~ , * f f l
5.~ffr
~ ~ { j z ; j \ ~ n t = I T h , P l U ~ ~ n t = I T ( 3 - x ) h ,
x
6
8 200
Q_7;j'~
ifill/.l=f
/.§_
x+ x = - .
, 1 v x = 4 0 0 , J t f f 1 v
i ~ lifJ-
7
3 - x _
+ 2 -
·rEI-Hi!.B:F,f-# X
/._§_
1 ,
1 v
v~i.!!Lu::, ,
1'1-'< 4
200
: tJ;at
£iJ~-1=J~IXJIJ~rkt§~.
~
7
i f . i i
x=2.
~ r t
at
,~ffi ~za~Jfilltjg 7iV5t, mu
J!Lt ~:~tXIJ\~1TET
2
f:J3 1g 2 h.
x
~V5t,
6.~ffr ( } ) 19:G
2.5x
7 ( f m ~ % $ : { f 9 } ,
~fb~~
X
Jf}
*WJM'Lff
4 x 2 . 5 x - 4 x 4x+300,
=
/. 5 5+x
1i1Ct
fl.H1U! ,
~ = 1.
f(ff?1f x ~ 150.
20
2. 5x= 150 = 375. fWH~
2 . 5 x
x= 5.
4x + 3 00 = 4 x 'I 50 + 300 = 900. 3cm~~%~1f*·
~ : G [Vd3i ~ ~
5
*/*'
t
~Jc
rfJ " z = AB"DJ2!JJr5tJJ1J 71U1}' vF :ffJ
jg 375 150
(2HtH@ni~ ,1~1t' l!A.Jti:~BMIHilil1'1
x 12 = 6 ( J J 5 c ) ,
MJ J~ i<c "h!
¼
:Lil1 900 ;iE:. 0Jr,rqi1
VJ,
J3/T 200+ ( m - 2 0 0 ) xo. 9 = 380 = 400.
m
l=!PI~fiJ~!J!-rxttt~m JG,t&~~-J-J
400 400.
i&lIM~J!WJtktm:lXDY41~0'11Jro/!IJJJ5t1ft -7G,
( 3 ) } J x Ffl
~Ji¾I
x>500.
i
f k h
At,
5 0 0 < x ~ 8 0 0
~
~&1tmu~aMi11t1g
? A 5 c ,
x
2 0 0 + ( x - 2 0 0 ) x 0 . 9 + 2 0 0 + ( 5 0 0 - 2 0 0 ) x 0 . 9 + ( x - 5 0 0 ) x
iflHkr/ID ~ , 1f ffJTHf
0.5x+ 35 = 0. 8 x - 5 5 , x = 300.
o.s
= 1 314,fW-Ht x= 120.
Mct11'-t-M!l~s9fj1fr1g
300 5 c ,
x>800 a t ,
~
n\t7-fs:11t¾
3 0 0 x 5 0 % + 3 5 = 185(5cl1'-t-).
200+ ( 800 - 200) 0. 9 + ( 800) 0. 8 + 200 + ( 500 -
ii.X~ X X - X
l:!P-=§'
3 0 0 x 0 . 6 - 1 8 5 = - 5 , 5 5c. A.
1
2 0 0 ) x 0 . 9 + ( x - 5 0 0 ) x 0 . 8 = 314.
8. 404 §JG 415
~~
M 1 ~ x = 7 1 5 .
- ~ ~£~~~~sm~~M~885c~~~~~
5G,FJf DJ,~Z4ih~~
~ 1 g 715 5 c < 8 0 0
,ffj-j]
5c,11W( 360 5 c B t ~ ~ ~ J z { 1 1 ) - 1 g 5c.
* y
X
~ _ t ,x=720.
,mu
100 x= 88.
x ~
*
£rmI~~~~tXBJ:t(9!i;J~~~rm~~1fr~ 5c.
120
~
=
,M1f
100<x~400,mtl 0 . 8 x = 88 x= 110.
ll9 FJf
j J 360>400x0. 8 , y>400. ilB1 ¥!11:Bfi:iJ~
~
4
~
m~ *
4 o o x o . 8 + 0 . 5 ( y - 4 0 0 ) = 3 6 o . M 1 i r = 4 8 0 .
mxmo/Jtfr
faJ~~/jcffi~
=
x = 8 8 Bt ,x+y=568,400x0.8+0.5x(568-400)= 4 0 4 ( . j c ) ;
~
x= 110 Bt , x + y = 5 9 0 , 4 0 0 x 0 . 8 + 0 . 5 x ( 5 9 0 - 4 0 0 ) = ~~~~
~
~~*1¥1~1il~B'-J~{vJvt¥¾
4 1 5 ( 5 c ) . UD 9
x , m U + 1 i l ~ * ¾
~~~Jg 404 ~ 415. -x.if:lUIHli:~1~ 1 0 x + ( 9 - x ) = 1 0 ( 9 - x ) + x + 9 , M 1 i x=
*·
9.~ffr
t i Z l R - ~ f j T
,Y!tl
5 9 - x = 4 , m t l ~ * B 1 1 ~ 1 i l ~ 1 g 45.ii.Xm D.
x
1 1 ' - ~ ~ * 1 4 AJ
4 x - 4 ~. rD f i H l & ~ ~ A E B Q ~ t f t i l . f t l t ,
~
ti X = =
{W,,q=J
J l l ~ - + - + - 1 , Jlff1-'i:f 8.
X
12 20 15
ili J J f i
4 x 3 x = 6 ( 9 - x ) , ii.X~ D.
311J
.mn,;:
~ : G I R - ~ f i j T :Jc.
8
~miJJtt~f-*Ell%-I~~ A ,
x
iHJr
o. ~rHf!BJ:tX9li;Jg;;t~¾
1 100 r e ,
mUmiWJf±fkffgi~I fF~( A ,
3 0 - x )
m
mu~
s o.
5c ) ,
1g 200 x x 9 = 1 440 < 1g 1 440 *LHI~~
~ =1=
, 1 i 2 ( 2 4 + x ) - 1 = 3 5 + ( 3 0 - x ) . f W H i x=6.
mu
1 5 0 4 ,
3 0 - x = 3 0 - 6 = 24.
re, re,
m
-tX9!i;J g;; _-Jj-fX9li;J g;;y--=p
$ - = f
1o o 1o o
~
~:miJJfi:l@c~Ell%I~~ A , iWJttfkfft1HlI~
6
re,
~-{J(!B~9!i;J1)r JJ!tl_-Jj-iXl8~9!i;J1)r
Jgsj
( x > 100)
~
X
6 t t 2 4 A .
( 2 0 0 - x ) r e ,
4.NHR 1)~1JJmJ§$faJ~~ ~ I A ,
<
x
* 1 H J H ! ~ , 1 f 0 . 9 x 8 x + 8 x ( 1 + 1 0 % ) ( 2 0 0 - x ) = 1 504.
f l H I ~ ~ , 1 i x= 3 ( x - 1 6 ) + 4 . M 1 i x=22.
!WHI
x= 160.
~:iWJmf§-$faJ~~ ~ I A .
22
200-x=40.
( 2 ) ~ ~ 1 ' F ~IA~F~-lfl:,mU~1'F(22-a) ~ I A
a
j:iJJvzm~W4JB111lr~5H3it~ re.
1 6 0 1 [ g ~ 40
~
=
~ f = ! f l . ! U i , f l H l ~ ~ , 1 i 1 0 0 0 a = 2 x 6 0 0 ( 2 2 - a ) .
f H i a= 12.E)r~ 2 2 - a = 10.
~ ~~11ft
~ : m~~r-fF IA~rc!11lti, ~r-fF I A ~ F
10 ~ 12 ~
~+fr
l . ( 1 ) 550.
~-BJ:.
Wffl¥: 83lMI~P:flf
2 0 0 + ( 5 0 0 - 2 0 0 ) x 0 . 9 + ( 6 0 0 - 5 0 0 ) x
5.fa¥f.fr ( i~iE:~tHa~:
1)
0.8 = 200+300x0. 9 + lOOx0.8= 200+270+80= 550( 5 c ) .
~tk~~i1t
&P.:E.lr.iJ~1£f~JxWlfaJ-tX'V:tr~~
5G,
~ ~ ) $ .
600 ' ¥ ~ ) $ .
t J ~ ~ j g
fx.j.J 550 j c , 550.
..:c.,t
A
7 0 - x
X
( 2 )400.
B 100-~r. x+lO
. I . ~
iff:fffl. :·i&tI~~-?X11:r~!/Jl JC,
m
:fT .£f~Y9'~~i1t~J1i.Jg
( 2 ) ( - JOx + 15 000 ) .
rn=500, 2 0 0 + ( 5 0 0 - 2 0 0 )
X
rr ve.
trfWfi : RY:~ itY-1 40x
0 . 9 = 4 7 0 ( J G ) .
;i~ti1s q:l ,fr 100 U1 ~J]( l + 150 ( 100
1;; ooo) JL.
[2~ 4 70 > 38 0> 2 0 0 , JJJr t;J, 200 <m < 5 00. -x)::;; ( - !Ox+ 15HlHEN-JL~ ,
( 3 qij, 140x + 150 ( 100 - x ) + 200 ( 70 - x ) + ;j\i-~8'-J~Y}i:3/g 1 2 + 8 ( x - l ) + 3 . 5 x 8 = ( 8x+32) 5c.
1i MHi
fffl.1~ tlHJisN1L~,
80( x+ 10) = 25 900. = 30. 8x+ 3 2 - ( 3x+ 10) = 5 7 , x = 7.
X
I :L'lf!.s07J(iJef-f
~ $ ~ i 7 J
E l f ~ 3 x + l 0 + 8 x + 3 2 = 3 x 7 + 1 0 + 8 x 7 + 3 2 = l l 9 ( 5 c ) .
~ : l=j3 A 30
U-tl!:.
EffVJ1Hft1vhm~ 11Htfil1it
119 5c.
tmh#lft
~ n ~ E l ± ~ i l
6. Mf..fr ( -=f-;iVB1, ~ W
1 ) ~ 1 1 $ ' 1 ~ - l f ~ J f i l f i t j ; 40
* ,
T ?Jr~ tB
10 B'J 10+40 60 = 15 ( ) j " ) .
i:p~f&"~*~~,7G~1fW;B.y-5 ~ ¾
1.D
X A . 3 - 2 = 1
§ r ~ B ~ t T $ : 1 r A S { J 4 ) [ ~ ; g 10x1.s+ 1 5 x 0 . 6 = 2 4 ( f t ) .
~ ! k n ~ ;
5
~ A , ~ ~ : 1 r ~ ; C . 3 m > 2 ~ ¾ ~ A ,
D . x =
~:~O:ffilVJ\?t151!ffl t9HT$:1rA,tl~¼1ffi~3t11B'~:J-1
B
¾ ~ ~ * ~ ~ 8 9 ~ A , ~ J J ~ . i i " J l ~
D.
A. B.*~rx
$ ~ , f f l j ; 24 f t .
2. C ~ ~ 0 0 1 ' - * ¾ l ~ , ~ ¾ - 5 c - ? X : 1 r ~ ;
'\GOO:l'fi!ZfsJs{JRe~j; -=f-*,~~
(2)~1=13 x x>3,
~it~ZX~¾ c . t 4 i r - 5 c - 7 k
~ ~ - 5 c - Z X J J ~ ;
2 ,
3
jfffia1)~J!..., D.)t-BJ:i:p~~*~~,
X ¾ - j c - z j ( j j ~ ;
J i ! t l ~ B ; f - x 6 0 = - x ( 5 t ) ,
40
2
c.
~ ¾ ~ A J J f f i , ~ ¾ - 5 t - Z X J f f f l . M l ~
A.flsl ~j\Er-JWgJil
~
ffi»J[~ ,{~ 3. C ~ m = n , , f « f f l ~ A B 9 ~ * t t ~ ,
8+2.6( x - 3 ) - 1 0 = l.5x+0.6x x.
,~A1J3?&nJtJL.,Wf~ m-7=n-7 ,~.llt~J:ft1~
7
~~¾
ffr1Hf
x=49.
%iEfiffJ,~1'4it~~;B.ElsJj;; = ;
'\GOOt-mzfsJ~Re~j; , * f f l ~ A ~ ~ *
~ : l=j3 49 = f * ·
-=f-*IB1 -=f
( 3 ) ' 2 s l j ; $ m ~ ~ ± [ g J ! J ; r j ; 40 , J m f f l j ; 60
3,~:r.t1J3~~fL.,JYr~
'v.:i:~,~AB1Jw-iii1f~* m = n ,
*,Fff~*8Bt *
%) ,
6 0 + 4 0 x 6 0 = 9 0 (
1
ii"J.lltlfl:JJ!~%iEfiffJ, ~ 1 ' 4 % » ! ~ ; flsl ~ - = 6,
C.
! J H J $ j j j \ ~ 4 ) [ ~ j ; m
2
Ji!U 8+2.6x( 6 0 - 3 ) = 156.2(5G);
A
t 9 H J $ j f j \ ~ 4 ) [ ~ j ; 6 0 x l . 5 + 9 0 x 0 . 6 = 1 4 4 ( 5 G ) ;
B ~A-03?&~
f f l ~ A ~ ~ * ' v . : i : ~ , ~ A ~ w - i i i l f ~ * - 2 ,
C ~ : J - 1 $ j j j \ ~ 4 ) [ ~ j ; 6 0 x l . 8 + 9 0 x 0 . 5 = 153(5G).
fl,?Jr~ M{Jlt:i*JJ!~~ffi~,t-1=%~~; D.12sl
m = - 1 2 ,
~ 1 1 1 4 4 < 1 5 3 < 1 5 6 . 2 ,
J g - 3 + m = n - 3 , { « f f l ~ A ~ ~ * ' v . : i : E l i , ~AB9w-iit1tJS
? J r ~ ~ t f
B ~ 1 T $ : 1 r A £ : ! G t l • . A 1J3 ~~"IL , ?Jr Ml 1ft :i* JJ! iE
1ifH ,
}]0 3 , m = n ,
~ ~ ~ ~
~ f i i t @ ~ . Mlm
C.
~fHJHft
4. A ~ ~ x = - 2 1 ~ A J J f f l x ( m - 1 ) = 3 x - m + 2 ,
7. M~fr ( l)lLHJU!~1i, *tl:mP'l-14
3 =f~B1J!lo/.J~
1f-2(m-1)= m=6.ii"J~
-6-m+2,!fi1HJ A.
fffi1'J~~
10+3X2= 16(7G).
2
9
* t l : m f ~ - 1 4
:![Jgffl&]&,
5. B J,5JJg a - ~ + a + I
3 . 9 - = f ~ ~ ! l o / . J i R r ~ N ~ ~ 1 2 + 8 x ( 2 +
3
7G).
0 . 5 + 0 . 5 ) = 3 6 (
2 a - 9 1
W r ~ - - - - a + l = 0 , E f r ~ 2 a - 9 + a + 3 = 0 ,
( 2 ) ( 5 m - 0 . 5 ) .
3 3
-~ f m : * f f l ~ ~ 1 ~ , ~B:'Fn 17'J~1t~~
1 0 + 3 ( m - 1 +
FJr~
2 a + a = - 3 + 9 , F f r ~ 3a=6,Hlr~1 a=2.ii)(:i* B.
0 . 5 ) = (3m+8.5)5G.
~ f i " ~ A ? t
1 2 - t - ~ ; ~ A ? t 6 1 ' - ~ ,
6. D 4 1 ' - ~ , ~
~ t t m f H~l 1 " t i l l ~
1 2 + s ( m - 1 + 0 . 5 ) = (8m+8)5G.
~:tff)t7t"PJ"101fli~
4 x + 1 2 = 6 x , i i J l ~ D.
1
mrm
8 m + 8 - ( 3 m + 8 . 5 ) = ( 5 m - 0 . 5 ) 7 G .
~:im 'i!&
7.D
A.>!4f 5 x - 4 = 2 x + 6 , 1 1 5 x - 2 x = 6 + 4 , A
m)'~
1:rm
i n t
pg ~ M Jf 139 ( 5c.
JYr
5 m - o . 5 )
J:) ~~ ~ ~
ffi-wk;B.~
2 ( x - 3 ) = - 3 ( - x + 6 ) 1 H t - ' % , ~ i 2 x - 6 = 3 x
( 3 ) 1 1 9 .
l x + l
~rm
iiJ - - J~
* ? t·HJ:
18, B :i1&:Ly!~~; C . ~ - = 1 3 - 2 ~ - 2
ff~ : i1VJ\ Fir a'~ JJJ5Jft 11 ( 1r)(
i $ =f
x +a) ( x 1 2
a{J
~
f.1'7.t
3
Yr*~~
a9
iE!ff&, =f Y1tl1J\$ ffJlll:1'.7 (
% ,
0<a< x+a
1 )
, , 3x 1 . 4 - x 30x
- ~ = -
c mJJnffi~; o.1J~
EI 1 t j J
= 6 , _ 1
~
5
+ 2 . 5 ) - f - } t ,
0 5
at
CDili
,IJ\m(10~:m1g
0 < a ~ 0 . 5 1 0 + 3 ( x - 1 ) +0.5X3 =
~J.JniElife.
1 4 - 1 0 x = 1 , !J( D JSj:~ D.
Jt.
( 3x+8.5) 4
=
Jj\$(:f{JJEJin JC. i&!:~ - 7X ffff &1 89 Jn: 1ft 5L , iltJ
12+8( x - 1 ) + 3 x 8 = ( 8x+28) 8. C j g {1(
~ ~ ~ ~ ~
x
~tl!IIJ!:,
:f.{J 1ffi" rNi 1fr
8 x + 2 8 - ( 3 x + 8 . 5 ) = 5 7 , !lo/.]~~ ~ J]'{ ~ y j i : '
at
fWHi
7G1{ff,-f1.1!~
7. 5 ( ' - f q ~ ) . 0<x<l00 ,x= 9 0 ;
~
X:::
1Hta1~:ie1Ug
nt
At,
(2) - 0.5<a<I 10+3 ( x - 1.) + 1 x 3 = 10o~x<350 ,0.9x = 90,itfH~ x = 100.
~
1~11'; ,JiJr~
( 3 x + I O ) j c , 350X0.8 = 280( ~ ) .280>270 lO0::;; y<35 0 ,~r_m ,1~
ffr
f)T t.{ 0. 9y = 270 , r;) y = 300. Jifr r;) +y = 390 !OC AA°" ~j 5x+2x= 2 0 - 4 + 5 .
40(),
X
l t
c. i f 1~
i c . ~ m
0.8(.x+y)= 312 EJG 3 2 0 . J i f r r ; J ~ Y W H t ~ 312 fPj t_m , 7 = 21.
~
X
,1-~
* ! l & { , t j g
x=3.
l
mtFr
~ J J ~ (
jg9c-:f 4 + ¾ ~ j c 14.NHR ~1~at1a1 ;'~iim¥IJ B"~±m&"~,~,1*~.
lz51 m + 5 ) 18 = 0 <
1 ) §
X
Xlml-
~ i X J J f l , Jifr J i ffi[(:lf f& f& Ef~ i9JJJE Bt :3/g
~j m+5 =rf 0 Im 1 - 4 = 1 , m = 5. ( 2 ) j f Yti; : ja) min ,
X
*LUJ§~:f:,1f
l J ~ ~ 1 l . 2 ( x - 1 0 ) = 0 . 8 ( x + 5 ) .
f H f Wf
NHfr [ffJ!f.rt~]~*~a~rt:i9.Ji1'-~fflmiif::3/g 40.
x = r;J 1. 2 ( x - 1 0 ) = 36.
a ,
w
& 1 ' iEJff*13'-)19ifi:3/g #J1'-@Jttfflmiii1-J :klJE at fa] :3/g 40 J i ¥IJ ±ff! 89 '~ N* ffl
b, § r r;J min , ' ~ §
EJ{J
C,
:3/g
t1Hin.filJf- ,1Jit
36 km.
2a+b= Sc , 2 b = 4 c .
~*
ttHi .rt: s'-J ti: mi , ffJ P~BtI fPJ a~·~ 2, ff1 j J ~ : ~ ' ~ J i m !IJ 89 i& B~L~,BHi :3/g km,
~ ~ 2b = 4c r;J ~ ~ § x
{ij b 2c.
=
iftHJH!:m ,1~~+
1 0 = ~ - 5 .
1.2 0.8
{ ~ A
b = 2 c 2a+b=5c,1Jit 2a+2c=5c.
~
ttHt~.rt:s'-J~;.$:,~)lft , ~ ffJWilJLifPJBt~¾
5c
2a+2c=
fW-Hi
10=40.
3 6 . m r ; J ~ +
x =
1.2
1Jit
2c , 3c.
2 a =
m
~lJE at fa] :3/g 40 :ii ¥IJ ffJ fil! 139
m
m r;J min , 1:R: §
1 ~ ~
~J 1'-~11ftil>t§ ff1@Ittff11'-~
2 1g 3.
~ ~ J~
:3/g
36 km.
[ M t ! = l f1JfflJ(~1lxlfUWT: :x_m~~-=1'-*~ ,21'
a~ .r.1f m~~f'I=~)
< r;J
Jf f* ffJ 11ft :I: 4 1'- t t ffJ 11ft :i: , 1 1'- iE Jf 1* 11ft
iE )J!tl
= @1
:~~*
mt,
15.NHfr Jltlt$:*:Jmtf::-yjj
{f:%-1 A
t r ~
:it= 2 1'- t t ffJ 11ft:i:. ¥f ~ 1 ' - J ( ~ ff1 ii: Jt25HJJJ x
*
@1
~
Jlt M!1Mf& tf:: mi.
)J!tl
"frJj (
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11'- iEJJ1*~ 21'-@ltt, lWi:tJ1i¥IJ~ 21'-f4<11ft:a
~~
ffl 89 t t 1'-!ltt
@I B'-J j g 3. IE~lH~
~
1 5 x + I 0 ( 8 - x ) = 8 9 , f W H l h = ; .
fHfr ~:3/g
* i l - ~ ~ '
,Efrl;J iEIB~:
a,6,.b = - a + 2 b x , 6 , . 5 = - x + 2 x 5 = 1 0 - x , 'JiJr -1'
l;l;1 ;'lg ;'lg
I!,( = ;
X X
m
~J_v!,_¾# 11
r;J 1 0 - x 7 +2x, fpj~r_m, 3x 3 ,
= =
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,~PJFJ~~
f]rr;Jtl;:1*1ft!M1* 89
1Jit
*fx{,t:3/g
1, = l .
~
X
1£%- ~!MJ* T dbM!:*Jtitf::"frJj mi,
2 : A
m
I L.* ~ - 4
T db M!1J\mt tf:: mt.
)J!tl
"frJj (
A 8 - m )
~ ~
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w.;,f:c
=- 2 , =
1EJ!~1f
- - 8 1v 10. 1 5 ( m - 1 ) + 1 5 x 0 . 6 + 1 0 ( 8 - m ) = 89,
.ffi!F'l7 I Jiff ,IJ / f . ± - X
3
f@Hf
8 - m = 5 ,
m = 3 , } 9 r ~
re
= 10 f ~ _ A j J ~ 4 x - ( 3a+ 1) = 6 x + 2 a - 1 , 1 f 4 0 - ( 3a
X
Jti dbAA!:*mitf::"frJj*15 mi dbll$
E f r r ; J ; J \ X ~ * T 3 A A
+ l ) = 6 0 + 2 a - l . f W H f a = - 4 .
m.
;J\mttf::
NHfr *
13. ( 1 ) 5x+3 = - 2 x - 1 l .
%- im !MJ T db :*Jti 4 :!PJ
AA!
{ f i,9:;J\
3 : A t mi ,
~J_w, 11
- 1 1 - 3 .
5 x + 2 x =
dbM!tf::"frJj-~;ff mt,
)J!tl
B 2t
i f # 1~ -14.
fPJ~r_U!,
7 x =
~
*~1-t:3/g ,1~ dbM!tf::-g]j;ff ·
l x = - 2 . Y f r ; J f l 1 i ~ ~ * B 9 B 2 t = ~ t ( m i ) .
3 3
x - 1
x + 2
( 2 ) 2 = 2 - 5 ·
IE~~1~
210,fWH~
I 5 x ; 6 ,
I5t+ t = t =
-t:Jt-HJ:,1~
S ( x - 1 ) = 2 X l 0 - 2 ( x + 2 ) .
mi dblt$:*mitf:::W5.
m ~ 1 J \ i m ~ * T
6 A
~ t i s % , 1 i
5 x - 5 = 2 0 - 2 x - 4 .
m#
~jJlia~®: • .!§ ~ m
~
$~B9~jiit!tW
1
l\t ~ ~
ml .fi ?Jcft9 ,AJ& i:'i i¥J
3jJI 5~ = -/il(
C. x 100% 16% ,
M~lli 1r ~-
IE:fiffl;
·: c c.
~JE :fIB&tJt
~Jl ~ILfil:HH&-ffil::lVi
~ (:JI~ , ~ ~
c JJirJJam.
~fir ( JEttWxWi. ( JEfJ:~fi. ~~
D.iUXl1'ii:3*/t9A~ ~3j)Il¥J
2 ) > r1:i =
2 1 ) 3
- / i l ( * ~
X100% 24%,
:Jg
.. o iJOl.J::i< A1J },J& f l ~ , MOE~ ;
A.~~ 20 ,
i'&:i2t
D.
~fJ~Htff A ) ~.&
B. 12+20+8+4+6 = 50( ]E(if(J;
1s~
n.x at
,tJ, tJt ~ ~ J c i i f ~ 2 l~ faJ , ,t- 1*
( 2 ) ,j~
~ ~~ ~ ~
16 1/r *~ Ml*
- ~~
so
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1c
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f t:: ~
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%
B,j
j'a].
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9. D {Rxt
~
B JK-1'-~11¥~ IP] ~ ~ p J f l~ ~ ~ lf:t;J, JR a'~ @ ~ , ~ 11t
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t ~ / J t l f t
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~ % . (
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( 1 )
(2)76+95%=80( -1'-).
A,B,C .:=.rfl!tP=ij:itl:A~1MT~-M~lk.1f*,D
:r_m,~
1. D
:;!:l:1f 801'-:Wfl~trti~~~ -
~
~ A ~ t t ~ f f l ~ ~ : i t l : A ~ ~ f i ~ ~ ~ ~ ~ ~ * ~ , ~
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D J_m~-frm, D.
{-t*·l1:~ J¥Z'l1:.
S HiH~atK'lf~,:it'~~a~
1.JTi,ffllft~~~~!Bj:
1r~¾xt~~:itl:frl'oJ~i,fflJft, ii~m ~jj.fJUft
B.
EB Mi 001~, * * _ t}J= A ~ ¾ 8 , :~JJIA~ 1.1 24 + 8 WHJr C 1 ) 1J, MI~ iJm f t 1JH~ *5t M : t-tftli
~ 11. IP]~ B'-J $le
~ ~
+ 1 6 = 4 8 , W f l , 2 ) , * $ . . . t ~ ~ l l l ] ~ A ~ ~ ~ ~ f , ~ , A ~ ~ --Jr
ffi A 'If lYl, 1J, iJm
~ I P ] ~ B'-J
~ ~~fL~ ~ ~ ~ ~ ~
1J,ff
R ¾ ~ ~ , ~ J t . 1 f 1-t*'l1:, ~ i J ! f t A~fniu
8 1 , Ill] B'-J
4 8 = 6 . i & ~
B.
p '~Jl:;ff J¥Z'l1: .
A ,~~:itl:fiiffft; B iJJftA~$Jtd>, miri!ff
r_m 26
. B J_m,
( 2 ) 600 = 260.
X
i t 60
f t ; C f t fF :I: $Jt =k , miHm iJJ f t ; D r_m , A
I
:r_m ,
~ ~
~ : 1 i t t t ~ ~ J L ~ ~ 600 ~~~J:f:tlrJffl1*~risi;JJ1r
i&~
:;ff ~~·11:, m-frtlB~iJ!ft. B.
A u t f i ~ f f i ~ A ~ j g 260.
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1 . C
s.
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z J f l ! , G ~ f : : t ( ~ E i j G f J I ~ ~ A ~ J W ~ s ¾ t t - ~ ,
lz;I
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c.
lltG~f::t(~~G~f~~Aff.-¥-f-~,IEifo.tJm
f ' F I 7 d 3 . ~ ~ ~ · 1 1 : ,
t~~it~i,ffllft::n~¾MI~iJm1!t.
~ s
2.NHJr
J\~-WJ pg-*rfl!~~~~Wil?lttWT ? t l:t,~t
1
A,B,C .=:rffitJS.IEfiffl;D 1ffi,J11.~¾ 500
6.
~~~~-f*
~ l l ~ ~ n r * :
m}5m%rfflJL'JFJ
l l t ~ F f r i m ~ ~ - 1 ' - ~ * , m t ~ ~ - ~ - i i ~ m D.
+~
~ i i )i:_Jl- *-~ , & i t
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BJ=Hffi
t
18 18 28.8 7.2
½
i;!f i t
,ffi / 72
IBM~Ullf.lr,~,14', 1'1i, t¥~
25% 25% 40% 10% 100 %
W ~ t t .
Jl-t~'*--iF-.=*1
*-xt~" ~-#~JEa~
i : i ~ " ~-t%-,
r7iJ
~ ~
tfJ
4 t 90° 90° 144° 36° 360°
um
-Jfj
~ ~
I~
~ x t ~ ,
l l : f 4 h * - ~ , ,g,if., +1*-,;tf*~JJ ] J l ¼ # - ~
4ij:
1
- + ~ ~ i t ~ - , ~ ~ ~ $ - i t ~ .
10%
"/ , 1 i 5 i t i t ~ 800 ~~!:Ei:f:t~J=l l~ij~:!Jt!.f'FiflrµJ;j*l,2),
J: ri~A~Jg 8 0 0 x ~ = 160.i'.iJm D.
tp ~
100
40%
. ~ffr (
/~ 1 * ~ ~ ~ .3i * ~ ~ [ l fil l¥J-=Is:*~ i t ,
,t
1 )
~illl
-f*fi~~~ ill E[ 4JJ: ~* .3i ;i~(:r~ 1L i i , ftf:zjs:~ :rr!1!&1¥J 100 f?K
25%
3i * l ' fJF :ii .1 0 0 % = 1 2 . 5 % , t ~ i J H H , h ~ ;
2
~ (t9 A ~ 8 Er'~
~~_:__!_
@ ~ ?t-6
155 - 165 } ; { ! , A ~
m m cm x
ta
ffifHR ER H l~J -rJJ 1J\ i ! ic J:ff! 1* ~, 40
~IJ , B,J
ptj §f
~ ~
5tty~
~rrf: 7'J itiJU!lEfif&.
A 6 0 X 2 0 % + 4 0 x 2 0 % = 2 0 ( B -Jj 6 0 x 100% = 5 5 % > 5 0 % ,
l'f:tJ 1
) ,
J t # ) 1J ? t - ~ ) , E1r lE reffi EI"~ J¥ % ~ CD®@.
3 0 % + 4 0 x 2 0 % = 2 6 ( ,C 6 0 x 5 0 % = 3 0 (
~
4.WHR
Jttw). !El-JJ 16).
:t.,
D 4 0 x 6 0 % = 24 ( 2 0 < 2 4 < 2 6 < 3 0 , § r l~)Jj\ (1 ) 6 + 15% = 4 0 (
:x
c ,
1i
W1 i n 1 u i 8~
:1-J[Ji fa] :/ft-Lt :1-J Elr~*trziJH!f~~~mMJ~ T ~~~B"~JiX~-
Ht J])! § ~ ii~~~ C. 40
s'-JA~ B"~A~Jg
D m = 4 0 x 1 7 . 5 % = 7 , ~#JJ, B 4 0 x
~~
.&rn*;!tit~s~it~~it
m 3 2 . 5 % = 13.
a~
Ifill''-> A..4&. = 360°x-ife:~1}- t!; ,&ff. 1i 1J- J:t;
~~a~ ~
*~~~(:tJvttl~~1I1rOO~oOOEJf-m.
m
1J-
l t M . z ; f P t t z ~
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s m
~UiJ!L1f 00
~ ~ ~ g J f
m m
-JfJ 5tf M. = ,& M. x 1i ~-fs. ; lMl ''-> A. M.
~ foJT ~ -Jf} ~
5tt Ex.
1i iL
J:t.1ftl.
J:t.
~
13
14
4.NHR (
1 )60.
12 11
ii•
1;pffW:*iXffl$.Jm~T
10
1 8 + 3 0 % = 6 0 4 E ~ ~ -
'm
i9:frm: e"J mu
xx~~±~ 8
7
xxtw!lw ~ A ~ j g
( 2 ) ~
x ,
6
6
Im JJ_tfJf
B"J~~_A~:3/g 2x. EEi x + 2 x = 6 0 - 1 8 - 6 , fWpfij x
4
3
&Pii:m:xxiff!lwtgs'-J~~_A~jg
12, 1 2 , ! l . x x ~ ~ ±
=
2
0 '.,...,__----'--~....______.____,_ _ _
~lms'-J~~_A~jg 24.*~~~~~itOO~n""F:
Jj_xJ#f/Jj-
50 60 70 80 90 100
" A . ~
MI&a"J ~~~8"11*:~i:J:r ?t 1k 5}[;1__tB"J
( 2 ) 40 , 6 0 60
).._~Jg 4 0 - 3 = 37 ,
30
24
24
18 37
18
920x = 851 ( ~ ) .
12
40
12
6
6
4E.
: 1 t i i t ~ ~ i r f ~ B " J ~ ~ ~
851
~
0 '-----'---------'--------'-----'----'---'----'---'--__.
re
±
t t xm
1-!~ -iw!fm ffi !fm
lzfil
~ ~
~Im r:Q, 7J ~--
~-~
131J~~A~m-xt
1:1:m*tJEHOO rp,
c i i . m : x x t t ~ ~
5.ffilHfr
3 )
1 ) 3 + 5 % = 60.
C
~ : ~mm1&a"JA!ip~~~A~1g
60.
~m%8'-Jlfill,t--ft§¾
3 6 0 ° X ~ = 3 6 ° 36
+ t r ~ " l t ' ~
60
, P X i : : i ~ ~ .
rp
wn~~itOO tilXfM~%a"JlfilJJL"Y§Jt~~
( 2 ) B 360°
2 4
~ -M x.kt-!~ ±~Im A~~ nox 15
( 4 ) 13"1 j g = 288.
X - = 9 0 °
60
60 .
m
tila"J~~jg
iJB1
( 3 ) D 6 0 - 3 - 1 5 - 1 6 - 6 = 20.
2
~umw~~mn~~~~i~
*~~~~1I1J ~n 00 Elf-m.
~
! i ~ ~
A ~ ( ~ f l )
EE ~~PJ1ij ii~~J_ff! ffi
1. 5 0 - 4 - 1 6 - 1 2 - 8 = 10, A
a =
25 - - - - - - - - - - - - - - - - - - - - - - - - ·
;Jfi~ffilfRtE Q £ - f i l . a 9 0 ~ ~ ~ : f t ~ , 20
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100
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PiE
4 ( cm) , = 12 + ( 1 + 2 + 1 + 2 ) x 1 = 2 ( c m ) , = 8 - 2 = i i ~ ~ ~ l - J 4 6 ; 3 4 .
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m
P-URjg
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ii~m ffi¥~Jr ¾%-HJ:,
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¾m-%,
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L A O C : L C O D : L D O B = 5 : 3 : 4 ,
f$tfl!
, 1 f 9x+2ax= 6 b - 4 .
§ri:JP]"i9:LAOC=5x, L C O D = 3 x , L D O B = 4 x .
'frfr
IZ97'1 jPJ~r_v!, 1 f ( 9 + 2 a ) = 6 b - 4 .
L A O B = 1 2 0 ° ,
X
)3/ri;J L A O C + L C O D + L D O B = 1 2 0 ° ,
fil:;fg~T ~5G~1-f!i¥,
a { J j J f f l ~ + +Z
x a x =b
3
ffJIHf
~p
5x+ 3x+4x = 1 2 0 ° , x = 10°.
Wf~
9 + 2 a = 0 , 6 b - 4 = 0 .
§Ti:) L A O C = 5 X 10° = 5 0 ° ' L C O D = 3 X 10° = 3 0 ° '
ER~
2 a = - 9 , 3 b = 2 .
L D O B = 4 X l 0 ° = 4 0 ° .
Elf~
- 7 .
2 a + 3 b = - 9 + 2 = i i ~ ~ ~ l - J - 7 .
E)r i:J L A O D = L A O C + L COD= 5 0 ° + 30° = 8 0 ° ,
.m*1r
L B O C = L C O D + L D O B = 3 0 ° + 4 0 ° = 1 0 ° . 2
( l ) - 1 + ( - 2 ) ' + ( - 2 ) - 1 2 x C - + )
JZ.lzsljg
O M f ? : t L A O D , O N f ? t - L B O C ,
1
.....................
= - 1 + ( - 8 ) + ( - 2 ) - 1 2 x ( 2 ~ )
6
Yf
i:) L A O M = J _ L A O D = J _ x 8 0 ° = 4 0 °
2 2 '
l . · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · ·
= - 1 + 4 - 2 = ( 4 ~ )
1 1
( 2 ) ¾ ? t - B J : , 1 f 2 ( x + 2 ) = 4 - ( 3 x - l ) . . . . . . . . . . ( 5 ~ )
L B O N = - L B O C = - x 1 0 ° = 3 5 °
2 2 .
¾ g %
, 1 f 2x+4= 4 - 3 x + 1. . . . . . . . . . . . . . . . . . . . . . ( 6 ~ )
.§ri:) L M O N = L A O B - L A O M - L B O N = 1 2 0 ° - 4 0 ° -
f$r_v! __
i r # ~ ~ J . m , 1 f 5 x = l . · . . . . . . . . . . . . . . . . . . . . ( 7 ~ )
A.
3 5 0 = 4 5 0 . i i ~ m
U i
soo
¥~1t:;fg
fA$nE~B9 ~#~B9ij$~f5;
11. ~ ~ = ; . · · · · .. · · · · · · · · · · · . . · . . · · · · · ( 8 f t )
x
12. ~ ~ 2
rn .tHJr (
2 2
l ) A - 3 B = 3 x + 2 x y + 3 y - 1 - 3 ( x - x y )
ffilHfr jg
129
A B = 1 c m , BC= 3 c m ,
= 2 2
3x + 2 x y + 3 y - l - 3 x +3xy . . . . . . . . . . . . . . . . . . . . . ( 1 ~ )
.§rJ;J AC=AB+BC= 10 cm.
= 5xy+ 3 y - l . .. · .. · · · · · · · · · · · · · · · · · · · · .. · · · .. · .. · .. · ( 2 ~ )
~7'1£ 13"19:l,~,
0
¾ ~ ~ A C
( 2 ) x = - l , y = 2 B f ,
~
A - 3 B = 5 x ( - l ) x 2 + 3 x 2 - 1 = - 5 . . . . . . . . . . . . . . . . ( 4 ~ )
.§ri;J A O = J _ A C = 5 cm.
2
3
- 5 . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (
( 3 ) 6 ~ )
.§rJ;J O B = A B - O A = 1 - 5 = 2 ( c m ) .
13.~ ~ 21
Wfff
= ) y - 1 ,
: A - 3 B = 5 x y + 3 y - l ( 5 x + 3
m
WHfr ~ ~ 1 i r ,P,Jr;{:Effi¾fflxtffi Elf
, x , 2 - x
~ ~
1297'1 a1Jffi~ B"J!OCffi:JGfc,M~
A - 3 B y 5 x + 3 = 0 .
1£
1± ffiHIH§ xt ffi , iii ¾ffl xt ffi ,
3 - 6 ,eJr
~
fWHlx=-2_
oo
5 .
t0xtW,J ~ z ~ f f l ~ ,
1g a1J
~
mW, 19.~~Jr
~l:f:liffliR~ritT *~riiJ:it,mUzI~l?A
x+y= - x + 2 = - 6 + 3 ,
x
fWH~
~rf:t T ( *EI"Jri:iJill,
x = 5 , y = - 8 . } 9 r ~ x - 2 y = 5+ 1 6 = 21. 3 6 0 - x )
;4
14.~ ~ - 1 7
zo. .. . .. . . . . .. . . . . .. . .. .
Wffi
li: , f~
c
;fl + 36106-x 4 5r l
=
at,(-
~
f¥Hfr
~ x = - ~ ) x ( - 4 ) - ( - 3 ) = 2 + 3 = 5 .
ffi1f.1ij x=
120.
s
ltf YJ 5>2,JiJrJ:J~- .fffrx!futrA. µJ =
Ji)r 3 6 0 - x 240. · . . . . · · .. · · · .. · · · . . . . · .. · · · · · · · · · ( 7 )
~
*
m.
5 - 4 ) - ( - 3 ) = - 2 0 + 3 = - ] 7. 1.i= : f:P I W I R ~ ~ T 1nJ ill , Z T ffl l?A r~ T
120 ~
X ( *
*
fn
1~ r 1-1 - %I ill. .. · · · .. · · · · · ·· · · · · ·· · · · · · · .. · .. · · · · · ( ~t
I~ < ~J. Hi
- 1 7 2 , ffr ~ (f'1 17. 240 r:1<J ~ 120 .Mf.fr ( J r ~ ~ 1V *X JYil2]_
1) 2 0 0 x 2 0 + 5 ( x - 2 0 0 x 0 . 5 ) = L AOC= L A O B + L BOC= 90°+70°= 160°.
5c. · .. ·. . · .. · ...... · · · · .. · · · .. · ·· .. · · · · (
( 5.x+ 3 5 0 0 ) 2 0-- ) 12s]Jj O E ~ f t L A O C , O F 5 ¥ - f t L B O C ,
J f ~ ~~1M 1~· t~(
2 0 0 x 2 0 + 5 x ) x 9 0 % = ( 4 .5 x+3 6 0 0 ) 7G .
LEOC=__!_LAOC L C O F = } _ _ L B O C . · · · · · · · ··
h~l;J
2 ' 2
m
. . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . .. .. . . . . . . . . . . ( 4 ~ )
. . . . . . . . . . . . . . . . . . . . . . . . ... .. .. .. . . ... . . . . . . .. . . . . . ( 2
-j:}--)
!iJJILtt
,1~
2 ) 5x+3 5 0 0 = 4 . 5 x + 3 600. .. . . . . ( 6 ~ )
§ r t v , L E O F = L E O C - L C O F
ffiIHt
x = 200.
1 1 1 1
:~i~RJWJ~T -=f J l · i i ~ 5 1 t ...... ... C
8 )
200
~ ~
= - L A O C - - L B O C = - x 1 6 0 ° - - x 7 0 °
2 2 2 2
~f.fr (
2 1.
1 ) 10. · · · · · . . . . . . · · · . . . . . . · · · .. · .. . . . . · · · · ( 2 ~ )
= 8 0 ° - 3 5 ° = 45°. . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . (
6 ~ )
~OOOJYim. ··· ·· · ········ ··· ·· ·· ··· ··· ·· ·· ·· ··· (
( 2 ) 5 ~ )
funJbqffi 1
AJ1f
( 2 ) IP] ( 1 ) L E O F = L E O C - L C O F = L A O C -
2
l
L B O C .
2
iE ffi ffi ffi
; i ; i
}A * } A i c } A _ t
~
JX ffif_gjg
+ +
}Lfij ~] 2X 2X ( 7 5 7 ) X 2 + 2 2 X 4 = 125{~ L A O C + L E O F = 1 7 0 ° ,
~ ~
X
1 6 8 ( c m ( 7 ~ )
2
) . . . . . . . . . . . . . . . . ... . . . . . . . . . . . . . . . . . . . . . . . .
f]rtv, LAOC+_!._LAOC-_!._LBOC= 170°. . . . . . . ( 9 ~ )
2 2
( 3 ) 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . ( 9 ~ )
:&~AJ tv.~1Ja1¥.J1J\iEjJ~~-~OOOJYiffi, ~~ L B O C = 8 0 ° ,
,$!ff¥:
1 1
f]rtv, L A O C + L A O C - x 8 0 ° = 170°.
2 2
~
fWHf
11 ~ )
L A O C = 140°. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (
~_too~
1 1
f ) r ! V - L C O E = - L A O C = - x 1 4 0 ° = 7 0 ° . · · · ( 1 2 ~ )
EJrtv.:il~Pitv.~1Ja s ~1J\iEJI1*, t~~~1.J s.
2 2
so ; s ;
JHJr C C NHJr c C
2 2. 1 ) 40. · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · 2 4. 1 ) - 1. . . . . . . . . . ·. · · · · · · · · · · · · · · · · · · · · · · 2 ~ )
2 ~ ) ,
Wm:*~mfffJL1Eb:Q&.!¥.J?ffe.~A~1.J 129~
9 4 + 4 7 % = 2 0 0 , iffff¥: la+SI + ( c - 7 ) 2 = 0 ,
} Y i ~ m = 2 0 0 x 2 5 % = 5 0 ,
2
f)r!V- l a + S I = 0 H ( c - 7 ) =0,f)r!V- a + 5 = 0 , c - 7 = 0 , f ) r
fiJf !V- n = 2 0 0 - 5 0 - 9 4 - 1 6 = 40.
!V- a = - 5 , c = ? .
(2Hr~~%~itOO~OOOfiJrm: ............... (
4 ~ ) ( 2 ) 4 + t ; 8 + 5 t. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ( 4 ~ )
A~ w~:~~~Arv.~~1~~m*~~~Nwtc~
100 _______
5>_4:. __ ____________ _
i;JJ
,Efr!V- AB=4+t.
80 - - - - - - - - - - - - - -- -- - - - - ·
129~~civ.~~s~~m*~~~~~~~i;JJ,ER
---50--
60
!V- BC=8+5t.
- - -40- - - - - - - - - .
40 - - -- ~ ~ 1 t W ~ 1 t. .. .. ..
~ffi)F~mi-*i
5 A B - B C t ( 5 ~ )
__ 16 ____ _
20 - - - - - -
5 A B - B C = 5 ( 4 + t ) - ( 8 + 5 t ) = 1 2. . . . . . . . . . . . . . . . ( 7 ~ )
at,,~
( 3 ) t = 3 A . § r * m E 8 m : 7 5 J - 5 - 3 x l = - 8 ,
0 ~
iJHJO
A B C D
ER*~~~Jg
, ~ C 7 + 3 x 5 = 2 2 , E l r l v . A C = 3 0 .
( 3 )72. . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . ( 6 ~ )
,Elrtv.
AC= 2BC BC= 15. . . . . . . . 9 ~ )
~~
..,.H •• ._ . . . (
c
iff~ :Joo%mHOO $La'~JmJ%1MJ,t,ffl
r:f:i,
iJ3.5{f
!¥JJjt~
~2B~~~~~~~#x~~m*~,
40
= 720, P.l,~
~ 360ox200 JIJf B )Yf~ffi'a{]fi.1]-I+3x,
§ r ! V - l - 1 + 3 x - 2 2 1 = 1 5 , . . . . . . . . . . . . . . . . . . ..... 1 0 ~ )
u
4 0 + 1 6
ooox
( 4) 2 200 560.
=
8
~
llX:33
E/r
= : ,
x
~d,5 ·t-f-~if,t~:bOJEtfl¥.J
2 ~ ~ ~ i : p J $ t ~ : Y g t J c ~
000
B'~A~Jg C
560. . . . , . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . 9 ~ )
E/rW;i. ~~~~JtJtJ;J4i:f:#: JOC~ili&-K:Jt . ...
B
rfr
NHfr ( ~ l f f f l ,
23. 1 ) fz§ j J L AOB L AOB = 90°.
~
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . , .. .. . . . . . . . . . . . .. 12 1}
Jg
Ix
L B O C = 7 0 0 ,