26春《练习帮》苏教数学6下_2026春小学教辅大合集_5-26春《天星教育》系列_26春《教材帮》数学苏教版1-6下_26春苏教版数学六年级下册《教材帮》

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" "
a,b,c,d,EEf&+,( 10, "'Xffi ffJWtT}y" = ffiMW" ,lE L ,4,
)&uJ.. e ,16,...Bffi8!ryf,trh" frfifirw". ,t T
A.a B.6 C.c D.d w+q u Efl,, fftil-f tf I w" EfrM
4Etsft=fiW5ffiM&ffi 326
-
W #BtrI UETFEW++H4F " HMW"
*Briretn,ffi ft}
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. ./,
fHLL,O"
A S B .,2
.
A.A<B B.A>B ,/
/:
c.A=B
;=;.;
D.fit*Bfrfr. 4=l+3
T,tJ+rt+,f+A*-*rffiwft( ).
5 6EE-+frfrWtr'tE#El,
ry,
-E+frt-#F+,nE..-f W+,5 -ffi A. 13=3+10 8.25 =9 +16
w ti6 + W E +" ( 2 " fH xf H0 H-L{E E0 =.. C i .3 + 6 H = E 1 E 5 + " 2 ( 1 + 2s +,ffi D | .4 r 9 u 5 - 1 h 8 \ , + ff 3 i 1 2 Ng
)"
i)
+,ffi 3 XEt2 4 FA3
8.4
A.3 C.5 D.6 1 H1*5H'iF ^ l , W ffi "
}E e t&-F.H ( fi E ) trtnfrRH_1, +rfLJ|mF 8.4 + 3.6 = 12 x2o%o =
E,I+HIHH I W,ffiEIJO H!4FE,IS 0.25 +0.5 = 120 x30 =
12
Et.
0.62 = 2'5
trtrEmHHmmm (*-*'
48 x o.a +f,
= =
A.6& B.{E& c. ffiW. D.#W ,*I-I*r= 445
399
,r'r, t
56%
HrkEt:EU!|tr
ffitffiq.b|FtJ" 4+fllffJWMEfr*"
x +60%o x =4.8 0. O2 +1.3r =0.8 (s ) +tsEl c ffi 2: 1fit,+EAiEgH!{iE.
I
(6) +Z,t)fr W *ftffi #fl E H,fH 6 4s' Ft
1. 3.3
t 2oo )K41, ffiA K t.ffi fi + Zalfr xtutrl:yE
7""4 "
-.y= 5 0 \nF}. +&Bfr itffr W,Aiffi K + tr
) Wr
fr,,\-LHXI,X1\ffJM)W,.
i+HTr\&w,aeffrHtulwffiH.
2 lxjP&#frffir)r# g{t.flJa +fl<,&tu#F
(r)4.8 x 101 -48 x0. I
iErU&ffi 6't4ttT: " 2*tKH U #t E A il &
il " kl,E,ffi Hl+" " H&xt+4' *T" RF +.
@(+.*- L,.* Arf Hffife " W T ffiffiH.tt Tt iBd " h h
4
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60
40
20
4 rFTEtrM+'RAWil6!8fiR. ( B{i :cm) 0 A B C D
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FfifrWH'IbV,EO.
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4.5*6.6 8 ,\) ffiffJ Ka,ff- + F iE+ E B#, *ffi fr?HEL
1 E,ftry+ &#KH+H*> +Atsffi-+ t{ EEff +,1. ,R[<EN ,H.f'IBr+trffi lxUJ
"
ffi,"4H Eg E't1=H E+8,441'fr ( I ) KAr - g F iE+ EiA+iltffi tul,H.KU)
j*-
N s8 . 3 )[ , ,,Jr ![ rl{ffi f 4 + ful ,<ffiffi
fl E&2 i+I' EE{S'F H! 4, +fr -B XfrA ro, H4B!HH5*PisHEEiLLfi! 1: so,
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flfu240 E;,BE{$'E Wq ,+46*HEEE 1s0
E " fi +,8 q ftEE rz X,fllS /a,W4 * D *.
frYWfr_Ltr91
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B!
2 iTffi,lfrHl*L,RH" ElH" Z#s" -fii}
W,EFXPT4,d', H JE
ffi il+WW. T F]ffi fl ilJ BEIffi = * E ft 'I.M)EH,
lt*
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qoN,
wt1 E [p]ffi ffi xllwwqfr tul t+w. bbB ffr?r:mHEl, H.WMffiHA
+ : Z,*$WWfrT N I+Bt ,tr*TqFTd:ffiii H ffJ I'flE, )AHlfrHW dtF,E*,)' t
?fi l+ww|. xurum* fr *Dt*t
,E
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brl, bL#. 20 +?)$*p!frR5 0. 001 frllrzJ,. h 2 4}.t<,tft E Er.{+6#$ frl & €
zJ<( EIJEE trfrrtlf tf) ,6#$f zJcHHtr5
Bh,2 +lWant2o +!Wu,= ro + ffi*alnw2 (ltr+trH
itzJcEf 14 Ffrzr"
t** t**=#,h. kw,6fi)
< ro +
ffii
0. 001 ,tfrD),20 ++j#*B!fRzJ.T 0. 001
" 12345678910F1t,,61/r\
Elt WZ
frilil til+iU Ht ,Fl*, br,#. 20 + +fr*ffr trR o)wfffir#trf6H(
)/..+,<.
sffimtz]. " ( f,f*Efi rtfrtrffi ) (2) W&M+ tr ffi H! /R frfiRfu*,)' t
**='
58g+ER
EfJI %J
@B @BB@
(2) A N+t++WE: 1500 x 3s'/" = 450 (fr,)
Gm A 4+ffi + ft*# :420 + 450 =e3. 3%
Er,mitg
B 4+ffi+fiEt:1s00 x30% =450(&)
1 (r)B (2)^ B H+ffi + H*4 370 + 450 -82. 2%
2 (1)++ ffi (2)17 (3)360 48 (4)86.7 93.3% >82.2% >80% DieH A 4qffi+rt
3 ( 1 ) iflHffi E Er N, -+r&+& H0 ffi ERsf t6J . & d 'frffir
,fttdl$ lq Ffi fr frtJH tl bU, bl,x +W.ffJ *, t' i+ B-f 4 (r)*r*-t " ur*_x
fF{tfi fr ffJtr tl bV, Lv,x +W.W,)' . - +W.+ +.W. 12.5%
AEZB{I{" (AIEElr4)
Q)-+ue&EF*EflE lET"
t.i.+r'Il4 24 x20.8% =4.qqz ( n'I)
(N)
&FJrl'ffiAEf H 224 x25% =6
ffiEEEflEl 24x45.e% =fi.016 (Hi)
x+ry,&Fn>FEf lgllrT"
-LiXE{l'El :24 x25% =6( Bf ) (2)
&6r'EAB{blz24 x20.3% =4.872( Ht) ffi*
ffiHREf l4 24 x36% =8.64( Hf ) |**!.Hlr*i #ff*!*n
E, -tr!&#H H0-Li*E{ 14 . & 4' if; A E-.f tnl . ffi
EEEfl4rlElJE 4.ee2Et,6 Bf .11^. 016 Et'" x+w. E{hlt6'/7E 2.5 2.8 13.5 I 4.5
+e Hltift B{ I'El . & FJ rt ifi di Bf tEl . ffi HR H{ l{ r} 3.s I s _1 i t
friJB' N,4.872 E{.8.64 H{. @filHtft/iE J --
i i -r--
(3 ) H (2 ) dl fr ,x+w.+4 fi!ffi fRr.IE 8. 64
Hf , Elt 8. 64 < t0,FfiD)x+W++.ffJWERHt'tFJ +hw./$ 100 i 1 i* s0 i100 I 1 i r s0 t I i I 4 - 0 * 0 '
4W " #iy{&fll{*i.tr€Xffi ER Hi IFJ itgj 10 zJrffi . ,E filiEl/7E 50 l-,ro | 430
7 ( 5 1 % ) 1 2 + 0 2 .Z = S 3 Y 7 I . 5 = % +80 4 ( 8 ) 0 '. x ) 3 7 | .5 - % 25 = % 1 8 =7 0 5 (z % \) 5 | -25% -20% -10% -15% =30%
2+10% =20(u\) 20x15% =3(A)
E,*lnt$.'#4LWil1H 180ul"
(2)37.5% 20 x30% =6(A) 3 +6 =9(,l\)
-10% =27.5%
lxffih r.65 m ffixxffifrw*,whdLffi.h
27.5% -10% =17.5%
480 x 17. 5% =84()v) g 1. / 7 \ " mffJ3 )\lltl:,Ftffih 1.6s,n B! 6,'\,triFE
E, Ehntfr#4rw ffJ vv,ilnH tb,trw tul
*84 ^w. ^w.
5 (1)AS^"zl<,#60AEh60%
CIEI
Effif;tItrtft0li^iP.
e #z](. #BiA:tr, 30%
60% >30% 6,4ffiEJil. 1 ' - 0)4 K 7.06s( / fi2.25r)
(2)A #7F zt6 +40% =40(+fi) (2)10 78.5(*,25r)
40 x60% =24(+fr,)
B ffi/( 224 +30% =80(+ft)
80 x30% =24(+fr,) 3 (r)@ @ (2)@@@o
B (2 , 4 ff i + zf 2 jrf 4 ) Ci + t f i ( l 4 a 0 f + f# 80 E ) = 4 4 0% 0x " 4 6 15 ' x - 8 * + f 5 f 0 i* x 4 5 x 8 2 0 c + m 60 f i = lf 5 fi 8 " 0(cm)
Et+ffii+BffiIttrffi 6 x6 =36(trr() ay6=za(lE/r.)
1 (r)B (2)c (3)c (36 x?tl +36 x 10 +24 xlo) x2 =2W3(S}-T'E)1)
* +t
2 (1)120+150=80% E, H,). ffi ze2s IE*. ffifiFtfrtfr.
"
6, (trffiiE) kifHEE( = E&X) H0 80% fEm : AxE E f ;t vtfr t 4 X'4Wf+ fi"l 4 *\l-,&tl!
"
(2)B 6 *8, flf' A ;L+ {<i 4+tkffi #t l< R- 6 + + X'il &#l R"
( 3 ) ( 6+6pfi-, AEEptrI ) ( =EtrX) fr fi_4|,ff *-4 +R@ fi-trA,Atu+X'ir##r6"
( = tr EX) fHEfr H, HI#f+&.&.,)' . 20 xilox2 =2ooo( +}l$itr ) 4 3. r+ x (f)' x
( I )480
59ilry
drsffi#.trFflETflB.sJ
2 =628(+itrX) ,?-*rYfr#J*fiP,,#* 5 +* 4'rE-i*,A r',
A* rF, f* E Er 1500 !b&.,,.l. f 1500, nN.aA t*-?Y
EX. Ejt64|J*+.
:ffi|
EE6!4lltrfRro*trH 2.90 +2 =1.45(cm) 1.45 -0.50 =0.95(cm)
1 (r)@ 4 8 2s1.2 (2)s0.24 (3)8 3. 14 xl. 452 x2.20 -3. 14 x0. 952 xZ.fr -8.D(c# )
6, j*&ffiffitr1{.+ffi1/ilB8.29
cm3
(4)*' "
rnn
314
2 0)B (2) =)( cm)
2
^ "TA "lo
3 5 cm =0.5 dm 3.14x102 x5 =1570(cm3)
3. 14 x0. 5 xl-4x100 =219.8 (dm'?) E,'Et H=f W l+ffift I 570 cm3 o
il&n{Eiffizj<ffiWffi;2 x (20 +2)2 x (6 -2) =
4 rX=10087K 12oo(ni-tr)K)
3.14 x (20 +2)' +2 x2 +3.14 x20 x 100 + 1200 iitrx=1200 ar+
2 =3454( +,tr)K) €j}triffi zJcH!{6fl,'so + 20 = 4 ( g.11)
6, i*tRfi * 5zl<1*fi4 H! E ffi Hfl E 34s4 +fr 4fi BiEf 14 :t2uc-- + 4 = 300 ( r|)
El(" 300 j| =5 E{ 10 Bf +5 s{ = 15 B-f
5 (l) KfrWBl*-EfF, ( t2 xt6 +12 xt2 +12 x E,MNI?\E 15 :00"
16) x2 = 1056( cm2 ) ( I )250 mL =250 cm3
tr+iPl'ffltlEfrR:3. 14 x t2 x55 =20'72.4(cm'?) 250 + 10 =25(cm')
tr&B!]HffifrR :3. 14 x (12 +2)2 = 113. 04( cm2 ) 6, j*fffi?&ffi8!/8ffifrRft25 cmz o
(2)2.5 mL=2.5 cm3 2.5 x20 +25 =2(cm)
3015.36(cm2) 3015.36 cm2 =0.301536 m2- 25 x (10 -2 +6) =350(cm3)
0.3 m2 350 cm3 = 350 mL
#f
E,9.fr.Yto.3 m2o 6, ffi i& ffifr+J dffi,ft 350 mL.
(2)0.3 x30 x15 =135(7t) =C-IEA @tEqeloiB
6,_jtffiF Lffr4.Jt3s )L" (r)oA €)B (2)B (3)B
1
62*=20dm 2 (1)8 t4 (2)13s6.48 e04.32
]Rffi+G, D.56 +3.14 +2 =Z(dm) (3 )8 : 5 ilffi z@b4"@18#r R tu HkvY,L2:3,
,filmilR tt2. s6 x2o x(l - +) +2 x20 x2 = n{ t'fi #J fKfr tv.vb R- 22 : 32 = 4 : 9, 9-*a E, 411 #t 4+
268. 4( dm'z) 4r,vV, A5: 6, .[,J El ta#J *r*t ft- 5 + 4 = f; , W +eW a A
,lftffifl,:. t4 x22 x ( I - f,l "r= 18.84(dm2) 6 x3 + 9 =2,&@4Fh @ *t#t *a #t yUf-Z, ],rcfil n
tffifR,ZOA.4 + 18. 84 =287 .24(dm2) ft8:5"
7 f 6 fi ' - f f f r i J 2 A 2 * F x3 rl . H 14 lt m x f ( X 1 E 0 + 2 2 87 ) ' . 2 + 4 3 . d 1 m 4 2 . x 10 x 20 = i 1 ^ x9 x6 = 18(cm') l8 + 12 =1.5(cm)
78s(Ythx.) 6'zl<ffiTFf;T 1.5 cm.
H-ffi22 x3.14 x (10 +2)2 +3. 14 x10 x 10 = 48 +2 =24(+fE)K)
471(Yth)l<) 24 x2 + (2 x2) =tz(E*)
E,Kt W*FI +6EA#|J H 2 ffire64*l+B! El f+, rr x2' xD x+= 16n( ni67K)
*Effi,hfr\F-78s +fihx.tn 471 *itlx<.
ifEi(.
6,lfi*EffiWWtrE 16r
:f-.#:a[il EEEst+iF. j)ffi *a
:,lf E 4E,E W E-+lt fr"fii + , W ie #t 4y,
1(1){4frR /RE6R H sh r,'h (2)3 ;h fi tlaFl $ a h fr #r fr #., it 6 fi ^frf # r r )R.
(3)?; (4)e.42 60 iL+1 W+E#tR.tu 844,A+t@1 ^ 8 : # r6, *fr
282.6
fiy.W ho't 4t I ; P+-, flls A - + - h fr #r fr fxft
2 3.14 x (6 +2)2 xl} =282.6(cm3 ) 24 +i E*-" Fl th fr #t fr tr.fu R",* ff *, z fr
282.6 cm3 =282.6 mL fr#t A ,By @4\tt A , jt,6 * il @+Fgt l+*. "
282.6x5 =1413(mL) 1413 <1500 ( I ) Eti{+fl 23.14 x22 x2 =25.12(cm3)
E,lMilltRtKETBEitE[4*.
ilffiz*,frt4/c4+frY,it flu}i" v = t(d +2)2 xh Effi{4fR1'i x3. t4 x22 x (4 -2) -8. 37 (cm3 )
"-*," 60,/.4
pfJ,* 8+E*
-.1D 2t 3e 4t 5C 6D
nffiWf7ffJtfr:fiR,2l. 12 + 8. 37 -- 33.49 ( cm3 )
ErBkl{flatr,r_33.49 cm3 =, 1 6 x6 x2+10 x6 x3 + 3.14 x (6 +2)' +2 x
"
(2) EfI{ffR :3.14 x22 x4 =50.24(cm3) 2 +3.14 x6 x l0 +2 =374.46(cm2)
WffiWtr':1ix3. 14x22 x@-2) =8.37(cm3) 2 3. t4x (1 + 2)2 x4**, 3. t4 x (2 +2)'? x
ntfrWvffJlff.fR:50. 24 -8.37 =41. 87( cm3 ) 3 =6.28(cm3 )
E rBffiWffiE 41. 87 cm3. E. 1 ( l)12 x5 +3 x ( 12 +3 +2)2 =72(dm2)
j|frE : ( t) v\ AD iLFfr & E*. *t tu # fi- h +f, fr ik-++ 8,tffidtfiffiffiffi844H*t& 72 dmz
"
-Hfrf\#l\flituT, Q)12'1 x5 +12 =60(dm3) 60 dm3 =60 L
A 6,tsfffitffi&.*nlffiiK60 L"
A
-l
210 -9 =1(cm) 25 =24(cm)
t B , -t"a
a | "l 102 x25 x92 x24=556(cm3)
C\
C E,ffifrJaa,).ffi*lfrH 556 cm3 [@iE
"
3
-i4+E #r#lLfiv. = Wqi-W#. + @*a4+4v." 15 + 3 +2 =2.5(X)
(2) v\ BC ilFfi E fi-*$ tu 4+ Hh lfr fr ik*+ - H, i 1 ^ x3 x2.5' x3 = 18. 75(nfr*)
'4+r\#JBfli*oT
t
A , <t>' * t xt x 111' xt.2 =16.2(ifr)K)
A " "z
>16.2,tH6iI6T.
18.7s
a
$ <f 4 (1) 3.14x5'?x (9 -8.4) =47.1(cm3)
D 8,frtrffiWtrft47.1 cm3o
(2) 47.1+6% x(1-U% -6% ) +(3. 14x52) +
i4+g&#t+ifx =@*tty#' - @+84+fix"
9 = 10( cm)
6 ( 1 )+ x3.14 x (2 +2)2 x3 = 3. 14( cm3 ) ElKfrtIIBJ 10 cm.
6'D'ffi-LfflD+tu11+trF-j. 14 cm3 o f E ffiIEI,,
iAElttPiIHE#GE r dm.
@+x3.t4x (8 + 2)2 xt2 = 200. 96( cm3 )
3.14 xrz =12.56 +4
I xl. 14 x (4 +2)2 x (12 -6) =25. l2(cm3 ) 3.14 xr2 =3.14
r2 =l
200.96 -25.12 = 175.84( cm3 ) r=l
175.84 +3.14 =56(h) Eff ffiH h',(24 +4) + (2 xt) =3( dm)
E,ilEd%i+EtT s6 rlm"
llffi;(r) t, L+f ),r+#rry$ft- +M*#t@ HUEIfr;i.EffiBt{+frR,+ x3.14 x 12 x3 =3.14(dm3)
)R
4\,l"xfr fi-'.t|LT cm,"aftZ cm, TiFiEAi" A, HlJIt*fEr(B! Elffi Ht'f4flE 3. 14 dm3 .
v = l" f l>' r, H- il )r',R L+ts ),, + #1 4+iv.. ltfrfi jl
in{nait lg;i; I
l,ez,ii,+'i
( T i' 2 ) + ) ) R t t L ) T ,) t + * - f t ) r # X ', .t R - 4 fr + T 4 l R e + . f + i L i t i t t' + + i'y # r # ) 4 R t + 4 T F + , * # , | t , , h f r * t N 4 + h E r v " . T ) 4 f r. r i e + t , r ) I L 'r ', E a R \ i ' ' , r w t ? - 4 4 4 ! 'E ? ! E ' * t | t * : r i ' ' , l t t x 1 _ f ? q - z f w \ r - t t i ; . * i ' . x + : - , 1 * - t ( - a a1 + r1 . ' J a 2 - 4 - = - i 1Qi 6=2,x h',
iyi;*nr;i;Re,,
1f ,),,)RL+f fi)ft:tltTv\++f )RrlT415" ,4+*
| )t ' ^ + 4 # J ) 4 R + T f . ) f y h + v \ f r| 3 J . 4 1 + 4 4 v " .f t 3. F f 1 r t 4 r# c rh m 3 * , : d f,t l , f 6 t / L fl T rL + .i l + r ti r> -Lfu aT t- * r,h o,6 Js E & it,l ri. & t 6t @ ff ,:*u
efiFll6J" " E H,ltsi"$ Eii+R.+Affi ffi| ff,,Lrarb+@4E#t4+
tv.i+tr*^n+ *EP?i-.
-, 11 2rc A4 24 72 3?" 4n3.04 (1
ffi)*l0EE6!ffiffi
)
5 1 0 3 0 0 ( 2 6 )t 2 ( o 1)O O Q)7s.36 7 (1)10 1@+ + 3:7 4 1 3 1 (2) 18 24
61ry'f,El
dr#fi#.^rF&Tffi.sJ
24 32 (r)+ 3:2 33.3 (4)e:5 ffiXiclE09ffiffi (2 )
2 trt,
Affl Efngffi frttz+^
HIHT
*t' Rffi Rffi Fi*ffi bb*.
*T8R
1 20 20 20 x4 +20 x2 =120
140% =T =7:5
l9 2t 19 x4 +21x2 =ll8 *T6#.
1
xl
H+:480 +S=280(78) 18 22 18 x4 + 22 x2 =116 *T 4X
\
*Tzp
ffi+:480 "1i-.=2oo()L) t'7 23 17 x4 +23 x2 =ll4
E, HT fr Ul ffiE 280 n,ffi + ffJ Ut ffiF 2oo N. t6 24 16 x4 +24 x2 =ll2 E*7
2
80 32 32+2=16
l4
ffifuffifu40-x1624
,x-o*rx=20
,IEEAEJtF,F..
I
= ZO (20 x8 -rLz) + (20 -tz) =6(+)
tg*
8 -6 =2(t)
x=360
* E,frHT 2 fJtF,fi,6 fzJrfrfi"
6 , B4LzKF ^*H 360 m " L
4 (930 -75 x2) 1 =495( [d) 45x(r -i)*+s=70(&)
" 7 +6+75
930 -495 =435(rd) ,fHiABf +.ft?.+.,Itl*'lt+eil
( 1) 68" ,r
E,IR*-Fd,f ArylJW 4es nq,,Z6trA+rJW *),
435 [d" 42 x 6 -- 252 ( bY,*W* tW#- 2s2 - 212 =
=|
ryF^MWKH.fi,H'KHf0 I + ( I +3) H+)\WlJ4o + (6 -a) =20(u\) ,k+.LWh 42 -
N=D()t)
=| "
LFllbWKtrfi,H.KtrH! I + ( I +s) (2)[&1ftx(3)tfr+EB+
"
(i -*, 42x4 = 163(+) 212 -168 =4A(*)
4.8 + =s7.6(+*) 44+(6-4) =22()u) 42-22 =20(.4)
s:^(3)9rH+H L,tEH
-+-fl 20 22
5i.6 x 0 =33. 6(+r() ,0:(890 -360x2) +(4-2) =85(E ^ ) "
E,frW[bT 33.6 +)K. ,H+:360 -8s =275(+)
321 E,H 27s +M+,8s FfrJ"
2 +3- 2 +3=T (2000 x 1.2 -200 ) + ( l. 2 +6.7) =50({+)
trf
6' :affiitffi +ffi so {*&H#$m..
(20x2)+51=200(f)ft)
fEzrr : 4,i€ lfrt^- ff ,n A,* tu6 4xik-fr *-4+ r. 2
E :A.B ffiffizt4 HTEEHE 200 +X" iLfi 6h fr , 6*YP" E 6. 7 ir,, Ffr v\ lfr r^ - 4+ rE#, *
llffi:Y ,Lfi 1-*a&rtEl nl*s 6 ,i{frvNft2:3 .@s}€hEr,Frr,*fi k7 r.2 +6.7 =7 .9 ( fr-)
, Btr 2 nffi s rfrlfL&.-ff*,FfrUEU+ " E2 n
nItu+H€F} +4i1 ,rtr-.vr+rJ,L441'r bE
Y ft85 n€tF3.s )r,,3.5 )cffJlKWEz ruffis )Llk
??,, Wffi2ffi,
vt;fi;
fil + btr 4i+e E E +te#t rh - ;1 = [WW4s rfA*[E 10 7rH!"
3.5 trz(45 x 10 -294) + ( 10 -3. 5) =24(lK)
!" a+uu*t ffi+fra A,B f,F.lL 20 +)r-t^e,fft
l0 fr,.45 -24 =21(lK)
ji,s
+#t4i4LA&-2n x2 =40(+*) " (-+.!h\Ai-,&&, 2 tt z24 +2 =12(lK)
trlA*itS, By Q +;1 =2oo( f +-). 2 E t 2 lK " trWA D lK,5 )nffJH 124K,10 )iWA
r-#-*=*
7 so+fr =no(nii) :ffiffi
6,ts€ETEUt t20Tr.,.
E,t: A*08'*%-+4i" I " isiiA E+ #t &b 1 o tzj' Mff
ffifr+f +4i"1" ,ls*=fu* , 1#J *ftffi+*lt++ 2(1)D 2 t c r 2BEI2 (2)t2
4Y, h" B i*d in fi n a\ z- IL# ffi E. 6 t 2 (3)tT zJrT G)12
.
"-, 62&
sasr
Effr
3 ( 1) (2) fiEl" ) (2)o (3)t.2s (D*
;EptrI) 1 *,*
2 e)
(s)160
87.s
1.1
^z 1.
T'T = 4'* $: (2x +3) ={:l
4 ffi{'trklBrKz6 +2 =3(cm) w'"l"._2 1 r'- _ 1 Y 1 _ ffi24(2x +3) =7 Y6
ffiltEfult.HfR,3 x3 x6 =54(cmz) 4"5 4(2x +3) =42
11
ffi{'trfSlEfA:3 x 3 x3 =27 (cm3) 2- 2x +3 =10.5
E,ffit)lffitr!.Er,f+*mfnft I cri,lffiftZt mf . 20 2x =7.5
4' t 5' - to:25 za.N xffi=fl.24(cri ) "y=-- 1 I 0 x =3.75
(r)B (2)c
3 (3)D
6,uJrElBtHfR, s0.24 cm2 o 4 ffi,1*.|frH ks /[Rffi#.
6 "
yt
13: 5 = (49 +26)
Hl 5x = 13 x (49 +26)
5x = 975
x=
195
E,MH le5 kg /[+ffi*"
AC =AB =4 cm
tfltr,. h)x,*, )F.R fr + x+ El .,.l. 4 @ tlJ + 44, Fk AE DE AE 1.5
E-*f E frf f X f + i 8 t .,J'#@+44#r&ts.,+,4 E ACBC43 AE =2 cm
"
rbff!|6!Hy 6 zJrEE'fAE x 2 = {n€WE *,2 ,FfiD)4;WWfr:
(t)t:2 frA t:4 TfrV (2)(6*6Ffr-) 5
2,
rfff[$fr= ?
1:2 =18:36 l: J = l).: J$ l: { =Q:J$ 3: 2 = 3 5- =5,1.
18: 12
2 (1)c (2)c ffi ,lill'4#J WAh * Afr",I|J zJ. EB ful WEh +-
3 (6+^pE-)t.5:t20 =2.5:200 L5:2.5 +H"
=
335
120:200
): 4*-T'T*= 1.5
(1 ffi-ffiW&,fi&&zj<B0ttE/t
(2) (tfirELV,blTW-) l0:50 = 12:60 35
T*-T*= 1.5
8 + 3.6:7.2 =1.5:3 3.6:1.5 =7.2:3
3t 7 .2 = 1.5:3. 6 3:1.5 =7.2:3.6 x= 42
7.2t3.6 =3:1.5 7 .2:3 =3.6: 1.5 +- =+x42 =70
1.5:3. 6 =3:7.2 1.5:3 =3.6t7.2
(I)2r 2tr 6' zJ'EE fri{48 F70 +fr,, t'+Pt,f+EE 42 +fr
ffitttfiuR "
(2)+'i4h 3 cm H0#ElHlEK,3.t4 x3 +2 x
3 = 15. 42(cm) (t)ffIi 8
800 (2)1:7000000 (3)150:1
+44h 4 cm Pi*ElHlIflK':' t4 x4 +2 x4 =20.
56( cm) (4)3
15.42:20.56 =3:4 2 (1)B (2)B (3)D
Ft\W++WfrtrHK7*br"ffi +.4LZLbAEfr FlbLfirJ" 3 (r)2s
itrEE'trt C+=rrtZr,
tfiD) Cr*zCz+ = (rr, +2rr): (m, +2r2) ( 2 ) l. 5 * ZSOO 1 OOO = 3750000( cm)
= [r, (n +2)l: lrr(r +2)] 3750000 cm =37.5 km
=[r,(n +2) +(r+2) ]: Irr(n+ 6, HWFJgHffi*firEEHE 37. s km.
2) + (tr +2)) 'f&ffi * IfiEEH t\ E N ffi,tutr X.zJr'[H lE, 1k fr. bV, btJ R
= Tri f2 ft 1:50000.
Ffi U ltatrf + tr W H K Z LY, frn +',44 Z LV, Afi frE I km = 100000 cm 100000 ,#* =2( cm)
,Efil,btffi).
ffil
tbfirtolaat*trroffitbfiIt 1500 m =150000 cm 150000 "#* =3(cm)
I
1 (1)3 18 4(EW+EEX76W-,*ffih 2500 m=250000 cm 250000-#*=5(cm)
6
63 . ***@wWf;
drstr#.n*fffrTffi.SJ
cm .#O 30000000 E* =300 f)K
1000 m = 100000 100000 =2(cm)
300 + 100 x8 =24(It) 24 <30
rq
JL 6 tri&Tffi4EfniH"
t (3) ' 100 x(t -20% ) =80(1>ftzn{)
(300-200) +80 =l;(1 Ef)
#a
lt*t*,u I ,I
6SB I +Et' =l Ef ls
+
11 Et'+1Et'1s jl=12 Et15rI
E,+ZW-XitlbZtuffJE+EflEJE t2 Hrt ts b
ffi ,tkts *ffi {W\W.h r,,\, I|J tr* S ffi ry
"
t
q,$*,
0 24x )t"
5fl) rn (x+2): (2,1x-2)=/:)3
il
500 )K =50000 EX 20:50000 = 1:2500 2 x (24x -2) = 23 x (x +2)
200 X =20000 EX 10:20000 = 1r2000 48x-4=23x+46
l:2500 <1:2000 25x = 50
E ifrt+WLVFUX.D6,tT t: 2500. x=2
fEzrr : 4.ft&,fr.*tskv E rkL$ *, ]rY, 4rl K*-4H tit 2x(24 +l) =s0(7\)
x *. f h l<fi" fr, ff *, *#t {x'1,4fr $,itfUIJtH so
" 4 t5 x3000000 =450 ^ 00 . 000(E)K)
+7ErB{ti,llffi 45000000 E)K =aso f)K
-, 1 ( LY,btJTvE-)l:2 =4:8 4:3 -8:6
, g 450 +3= 1s0( f)K/Ef ) rso xfi=60( f/vEf )
+,+=+,+ +,+=+,+ 3:,0 t2
?
4 O@@O 5 60 1.2 6 oo, t 7 5:t tsO x1i1=e0( +X/Ef )
g7 13 13 ts g$ 3 E,F +fi! itHE 60 + */Bt, L+E! EtrE
34
90 +)K/Et
-.1C 2s 3 B 48 5 "
C llffi : EXLF^ +E n 7 lrY,Ltt #J ro iR frc 4i tE 14 F6 #1
=. (ilf$m)1 *=1!1 f x=N ! x=3 4 *= l5 +.a ix, # * hl,E"+E b]r.,ltt Kfu g -}-fre fi * * 4 f,n rE
4 s, it+ * w frE *'rr, ftffi + 4i 4*.#r fr, wtz, # n
8,1
i*Wz + +H€F,i f4,,i * ffi + fr! iLE_fu , frE &
fi +#JiLE-fut*vbltt,r\fie, ,I fi 6 A #tiLE_"
ffiEt
(1)ffi E
2 WW" ss 50
tEtr : lk# *Lf 4i,{ t" B rt. X,1,, at d *,nh L vb bt (2)1L s5 50
R,}1,*p l: 10000, *E l-* EIlm *,&E +FA 2 (1)B ( ^ 2 )^
fi'1b,=+ " 3 (1)3 trtr 2 (2)(3) (4),LTE"
tutrr+ + )u,
xll
ffir6x =12
* -.,,,
2(1)
F j,t, L,b, +Ed.+
l:+9:00 flJ ll;00, 4'441td-.7 2 tl's7,fr9f..7
E*"
2OO +*,EEFruBOtrTEEHE 4
K)a* YU,blr.l:100000
+r*.I*
(2) 6 = 30000000 ( EX ) 4 0))L E s0 180 (2)ffi #, s0
180
64S+s* %
FfJ*
Efr t*, Kfr fu,#r i+.*"h Ja d. .,e lu i A #J *- fri 4 (r)
'*
E-&*tu ,*R+tl BI f[ H f #] *4+ , *- * fr #l
E-&, *lkw Ft #t r4,,4'l,F- €.i 6 Fl #t r trt ti
^ "
*"WFti..
"
1s0*
'l'44
(2)
60 120 180x fi(dt Wtzrt< FfiHFIIWIt
Htr-trfi
5 ffi{Htr oo' 450 4.5
ffr-ffifi
H{H645' 300 3
f,lifi'-* EE
600 6
jlff
: ( t) 4,+*a4lJ*gfit_ 600 ,K-, B f rarff_
6 fFEllrT: 4 +" _" ,Tfu&+" _" .flfi 600 ++ =
150( X) ;4\,LNfr h, r,.t fi frt )V,lih & 45" T Gl
)u ,6(300 + 150 = 2)2 +" 4+rt)#t,F-iet,-&-f
t ,a#r4t,E-;l** v\ r ,4 * - " r[ ,u'l ,k , ^r ,h frt )u.iil,
*,60'ifrt,q(450 + 150 =3)3 tr+ltJ#,J
,*.-,s,t,_&-+&.6t ti E. (2),J. +J ^ r. "+-*"l @ *, i frt
E*t+a L, frt E-4" W+8{. {. ++E W" ft f6J = nt
Ad6 8,6 & + &-8" nl fl*Ffi fr Flli'l , EPEA ilL&"
yvlltKt:2000000 (r) &tnffiW{iEtuElrfzi,
ESTTT#fil A fft.B fi6z.I4B!ETEEHtIfr\h +e )b
t
2 cm.3 " ,ffiffibV,MJE.trIHHnT#fn e fifi.3 fifi
ZlHWEtrH ttfriJft 40 km.60 km. L*tfrx
:Cffi
ffiitffi+69tri#fr&
{ (r)E6 ffi{frE(trffi) Q)E^ {fiHH xE +f ,u.
EH' (3)Jr E +& trE (EP)
rt ^
2 il,,t +H TIIHW WffJ'r1 ftEf*,, fr Dv,)- trH fi hffi : ltrl.E Larn xwfrEfi )1 tffi +4 =40(m)
*fr firt4so )K 9J E H, E rfu ffi {lffifr, 4s" I rTfr. (2)2000 +400 x 3 + 1600 =4800( m) "
3oo xEJEffH. 4800 m =4. 8 km:5 km
fu Wgl')- + H W'fr ft W *,, td),H W W F]lL 10 + (5 -3) x2 =l4jr,)
^{HHtr 4s"trr"18 aoo Xf|J EH, Ef,rEtr}-f,r+ E,a*,Wg+fr_*t4 )t"
4s0 )KrlilD+H Gmffi
,}tfi : *N* * * " ,lk# vu4r,l Rtu El .L lP S ,t S *
itwi1fi, , '' +E atJ Eti,#l * ElnE * € 15000 * x 1 ( I ) EITflEH *TfrflEH *IfrEEH Kt.EEB
3 lE = ir 4 E 5 * 0 - 0 * 0 - ( 1 E 50 ) 0 f- 0 ) x = 2 4 = 5 3 0 0 ( 0 X 00 ) ( , z E E W X) l t = )Q 30 , 0 il ( f f X t,# ), t + (2)5#oo byffiJ(. btF E (3 )3s
i
lL# frt +" frE fi *fi it-4i kW*. 2 (1)c (2)cDE
"
3 B IEffi c EWH4"EEHE 600 X. 3 ( 1) EElffi.
llffi:tk#tu€'4*fi*8. (2) 15: 2 =7 . 5,30: 4 =7 . 5,451 6 =7 . 5..... -
+A Eh,KI,B Eh,F*B,C E B,J Ffr.fi Wffi5 ffi ffi EE Mffi fE JTffi ffJ 8., E"Ffi
* ,i* C, LBAC = 180o - 60o - 'fiWffi, ffi#E = lllltiHrlftffJfrfffi(-ff.) ,Ffi
60o =60o, Wh ,qn =AC =600 *, Iil FT 11 Wffiffiffi iH E,I E II frtJ .
Fftv\ A E.B E.C E Frr&fi,F- j6 (3)52.s 2.7
4 r
+*€*E-- t T rL z fri #t, Ftr v\ 0 ffi . , 1 tk 3 t* ffifu:Ifi,+)tr%J11&7 km"
25 -12
BC =AB -600 ,K-. 2=.
65,,@|
dr#ff#.trFfrTflE.sJ
0.13x =2 x13 v\tintt?t-*, *roq
"
x =200 ( r ) ffi9,1 6 tlffi nt, tutrtr+ 7Kff,{tfl fl itzJ<
6, i*ffi Ht0+fgtlftWT 2(x) km. r.fE^fi}fLr frJ, ffitr.LLEIJ"
5 ( 1 ) W+-t1W.ffJE6ffi fil H'I IEJ fil,tr Lt Mtl, E tE{ll (2) AE J.2 +6 =t.2(r+)
ffiWl #Fft-Atr(o,o) fr+JH&" B E.Q4 -7.2) + (12 -6) -1.2 =1.6(r+)
(z)te
42 E, A E -E rl ffi )t rK r. 2 r+,s tr -fr ,t ffi rfr.tK
+*/h)
(3) F+:30 +40 =0.7s( r.6r+ .
L430 +50 =0.6(+*/lt) =frM ABC frff-E, trID-lffi AB x CE + 2 XS ,
(0.75 -0.6) +0. 6 =25% d,4D-l ffi BC x AD +2 >Rfi" mfHPt ttt
CE: AD =7:8 ,FfrD)Wflftkt LLh ,qA, BC =8:7 ,Ffi
6 (1)20 (2)2 tr Q)32 fE;rr:(1) ftB,I&EI U BC WKH.fu zt x 1 8(tr)K),- ffiM
tu ,^*l*h 3"( +h 8"#t fr&i 0 ) fr.i ,#ff#t l.E-h 7 +8=9.
20 cmo (2) ft WlB-rrtu,ht"#tfr&4Hh, to ABC ff)ffiffit e.8 x8 +2 =3e.z(+iEx)
"
f
E,t+*trE-# io 2 cmo *h i"#l frAfo#-X4f.
#trE-#r vvtfl-- L, Frr il ii 4t1 fin" f.vY,bl *- * eni*- ffi5{ttr
"
(3)60 + l0 x2 +20 =32(cm)
7 ffi ,ik#€.#ttFfrfrrttVWffitr E * *fi h* 1. fi0giliR
" jEIEII
4t x -2tB Effifu,xffiggilin
x =16 1 (1)O 14 eloo -+ttr€-fi=+)LH
Bh 4 x 4 = 16 ,tfi D) r = 4 + 2 = 2 ( il{t) , El ki E €)10700 6634999 (2)0.046208 4L 4620800
f f E A z = rr 3 : . i 8 t4 w x + 22 a = ) 1 l- 2 { . < 5 i 6 f ( r Y h lh ik X < ?- ) +r a' Frr fr. fri fr (3)s ++ r +; 1 s +0.01 s ++
#J fr 4v, bY.+ t fr )A- fir + 4, y< i & fr F.#J vY,, B iY, (4)-s -3 4 @zJr t @-3 @q
;; u\ f i yY, 1r'l ffi )* " tP- * i* ?- *tc h- Fft E $- n fr #J fr (s) -0.8 +0.8(40.s) $)t.zti 3
f,e+ft,#+aaqr h\#tfrfix, 2 0)C (2)A Efr:c108 L*-abkffi 108 *,r'l
:g,IIrErbfiil0!.=y
+,t3 + trB +*-frffi t3 fi +ffiffi ttB + E4i,
**fr
1 ( 1 )EiTfi%Z+ffi+W.'q'+%4+H#,W1K *F+frh4+ft-" ffi JL+" , n tk4-;24.5 fr-
w. E+%4+Hffi,W4KW. #ildr'rfrq+W+ Lft+*+lt#,ft+i,&?, ,y .
w. (2) ofrww.ffi^pE-)20 xX) = 1800,30 x (3)oc €)A €)s (4)D (s)B
6 + 0 " = 180 ( 0 3 , ) 4 i O *+ x n 4 ff 5 iH = 0 f , t H n . t " K & 'e r G l& ) . f E fi L L B0 F * \I frR A[ fE 4 3 1 (6 6 + 6 6 ln f K fi E -) F ( m l) , 1m.s8 (2)100s.8 (3)r.m8
2 (1)B (2)BD C A (3)D E>r:n*-Y,L#t
*frft l, Y Y = I FL L = l, Y H )e 40% fr 5 +E 8. 3 ffi21rfi,fift Effid1-&,4+4[ 0. 83.
140% ,nlLrl +r4o% =l,rrruLtB,,r+. 8.3 -0.83 =7.47
1 S , *E 8. : Hlzj'fi,fi rtu Effidr-li ,1+4tJffJWt,.,lR
3 (1)3 t2 R @* I WTfr,DT I:.+fI fit
^n "
3
(r)/B77fX,E-fibtl BfifE{Bil
(2)Xx0.5 =Y x 8 (x.y frT.iJ 0) EID-lgEfi (1)02 300 @{E (6*6rE-)+({Bfi) xs
yfr (ary) =20({B&) €)(6+6pE-)4 10
+=o: =t6,xffiY ffJbr,tr-fr.,ihnl xffi (z)ts (3)O, b @r ab (4)7 2t0
(6+TEE-)le
(5)
tr-L1,6tl" 31
(1)C (2)A (3)C
( I ) HrU ftt,H.6ry-E E{,'fr +fr ?t$ffi & ffi ffi lltfizN =axb xc,flrJ N
ilB!BryfitrILFI)*A" #J\efr 1.o.6.c.o x 6.o xc.6 xc.a xb xc,)
g^"
(2)ffi,1ftr1tfrfu6ljlffiW *W"
20x =40 x360 3 4851927
x =720 4 36 f[ 48 BtE/(aww.F L2,EF&.*trIa^h
E,A'frfr'q1rlfrff.720 M. 12 w"
jlffi z(1) ++it6i,e.#&-E Fi ,&+**t#t**- 36 +12 =3(y'.) 48 +12 =a(A)
fu *+ ,d.-#r E *. tv"E vu,lrt *. A " 4 *.6 J(, **t6t E r'BWJr H&.D-v* 3 fr +R,)'-vfi 4
"e. "
# (2 & ) tY x # *+ - f L 1 f + r it f 6 r { + r E A & X = A * x td , fr L l r , € €.*& * ( f # - r t ff . i ) q . , T 8 g f , l E l10 f6 W #* m H t /* 4 f 6 f i + W " ft^4,} ,40 +6 =46(^f ) "
*.,-,"..
66*+E* %
FffF
{ lT E E : ,J\: iaxo€"J-+,(+ il Wh 13.7 <20 <23.B,FfrUibNlA^ffJ&WXW+
i i + Xr y r g r+ w *r * -o t* )A x s , i i I l i i + t9 *6 f' t l t g & 3 = - s :1 ft i H (E 0 X *j Z B K . W-) ( r ) l4E, hryE/(T 1 ffJftWlt,
i:l{ttl!9? +z;) l;, (40, ft,Eh) ; i &hry + ( a i o 1 hrt ) 5ffi Htt4'X6EE, /at#WW
ffi|ffi (2)9 =9 "i =e 6 <9
z.e +{=3.6x f;=2.7 2.7 <3.6
(1)20 * Q)2 25 0.4 40 E E
51557115
(3)3.14% 3.;; r ? (4)eH 14= 7 -14^15- 6 6 -14
+ #{t,-t&(o lhrl.) htx-fitT | ffitlW,Ffi
@2 3 0.67 @ @(,+effi)* + {$H0ffiz : l f 'T f 8 i 4 | 9 "
trnlhEeiag
o( EEffi)l + (s)75 r3o (6)8,e,lo,ll (1)fi * m (2)(246+54) x4+6 (3)2a
0)*rfi (4)1.904 s6 3.4 19.04 0.034 340
(1)c (2)D
2 (3)A
2 0)c (2)oB
€)c (ruffiffi)(1)3 (2)n3
3
lsz 13
# *
4 (1)+,+ *I*8=+ "tr*+.+=|,,
4 24 +(3 x3) =24 +9 =z ttXl r*.#t =*",=#
1
6,tsA46V82;X" *f
@++s"f =+,+"(+*+)
=
2.H.tr0lE
,l lll
1 fr, +fr, f+
)E
4 '8 'L=i
2 0)36s 24 60 60 (2)e.30 (3)366 6l
efi
(4)42 les 2.7s (5)3 @n# xe6 =efi " <st - I ) = "n -'# =nu -
(6)3. ls Et <3 EI ,t t.?ry 4rs h 96 _o< I
97-"97
3 (r)c (2)A (3)B (4)B (s)c
4 3t +31=62171 (4)12.7 x7.5 -26 xf; -:f,N =0.75 x (127 -
E llt ,f f r i f : r & fr * ll f lf r r + lfl e A .* k ff * .6 -& 2 t X ,i " afft+ A,Y|rfr*f t- 2 (5 6 ) - 1 l 1 ) 1 = x 0 3 . . 7 7 5 + x 9 1 9 0 9 0 x =7 0 5 .7 =lll x3.7 + (1ll x
,ifl ,it4t4'f )x,xfrfi+f ,^frlft7 n h 8 A.t2 9) x0.7 =lll x3.7 + 111 x 6. 3 = 111 x (3. 7 +
AhT-+r
A.
5 4000 fH =a rt 4 x2 +5.5 = 13.5( rd) 6 (6 .3 ) ) ( 6 = ,a 1 1 + ) 1 a f x i) 1 0 x t = e 1 1 x 1 2 0 3 =frx19 x23 +fixte x
13.5 > 10
E,4bffJ++A6EqAiEilEEffi" 23 =46 +57 = 103
.ri -ir
3.fr0gEH (7)(s *, r?.31
#IEI ? +, =
trnuiEH6!HXroitHEit .|l
ri.ir
=r6s(|.tn +r5rf
3 4
1 Q)4 (2)2 (3) Oo. 36 @60 @ +
(f *|l *|l
/. os x *s * (+ =,,
12 (5)b>a>c x>y>z
T
2 (1)B (2)D (3)c (4)B LtfiEryfiffr+ Lfrbu,ryfrK+ Lfibu,F
4 3 3 ( 0 1 ) x 7 62 . 9 + 9 31 :8 = 6 9 0 .99-10 8 x10 =80 ftM+ ryfrftLrfrtr!+ ryfrbY,LfrK+
7.9 <8,g.99 <10,ii7.99 x9.D 5 80 11,80 t. qfrbi,ZfrM+
@+ * | =,,*, !,mul * t* r )<. (t)t2 (t
x -60% ) =4. 8( +)K)
(3)20.6=20 39.6-40 20 x2 +40 =80(zu) E,6H 4.8 +*WM"
(2)4K
100 -80 =20(7tr) ae} + Q -45% ) = 1200( X)
67ry y'rgfig'i
r..a+&Tflfi.sJ
E AtbT J200 -660 =s40(7K) +kwwffiw. (3)l8e 10 (4)3s (s)4
ry,Z*lbT s4o X" (6)17 2 +3n 46
{ffi|
ffixr'du 2 (1)A (2)B (3)c
,, ( 1)200 (2)e8.42 k G)zs 2s (4)20 3 (.iiffiffi)"=1e0 *=0.8 x=4 *=fl
(1)c (2)c
2 (3)D
3 4 ffi , iA&E 20tz +tstflAE0 ry tsI,H.ff ft x fr h "
x -40% x =9.3
:0. 87
30. 8 + 35 . 4 0.87 =87 % x =15.5
87% l\tffi 6,&a 2ot2 +ts.UAH!ryEX,H.&ftts.s n h.
tf = r t\t ffii*- tf*4€4rgf
ry, frrJffiRilffi 6fr ffi , S4 fl /t 9\ tt ffiik/'jr-E#SB! s
**"
ffifre" e. Y4'F' *
LV,
12 E{ 30 4l -10 frt 30 h =2 flt (300+r+300) "r t.=_?1,
HEffif $5% -45% =40% ffi;*-
ffi,ti.D,,(;E.#fiH0 s
64rEfffiEE A0% +2 =20% T*.
'fr * ^,#Y4@An{
trpJtlIHB!E{l{:
(300 +r) xl.5=921
45% +20% =0.45 +0.2 =2.25(flt)
x =314
2.2s > l. s,*lJaPlH,B6BH" 314 -300 = 14( +zl()
6,*UAffiHAWH" E,) X#friilH! B *+^+fr'q.4\8t'LL A r<+,W
5 +*.
L4
2,dfr 3 r|ff fffl18,} ffi,&lFfflfr * tr"
f& t& E,E'I
rb& 50% x +60% x=132
x=120
I 6 2xl+3x6 *7241 E,lFfilBt20 )n"
ffi , iAB+[+ ^tH * 4.
4TIh
2 5 2x2+3 x5 =19 o -L)-+42=
**-Lrr-
2x3+3x4=18 +T r = 1800
4 18
-1
'| €.,B+ttfllta 1800 4"
s. iE,tvFtJtERtvEt)
trEl{nT, (t)2e:5t I7t42 (2)31 (3)5,fS 2t
?IK (4);1(*"so%)
4
= -*-La .
w4&z 2 (1)B (2)B (3)c
)rzoar
3 L
8r& , ' r ^ rB '0 .+ .4 _ zt (2)0.36: *=10%t g
x
?IK I
t/. ffi$.4x =21x0.4 ffitl\% * =0. 36 x i
(170 -8) + (l -t*1) =162 - (i*1) =162+ x=7
x =1.6
!=rczrf=eo196y t , r n i ,2 s . . r= 1 5 4 . . 7 g ( ' ' 4 '2 \ 5 tc =l 7 '2 5
-_14 2 xl.2
170 - 90 = 80( rK) =5' 7 ffi,75x =25
Wz tx
EJRX=.4&WT eo lK*EltF Fp, W+WW g x =0.4
n-- 1
(1)3.5 -t-3(+H) g
4 6W vtr-)
l0 +7 .5 x3 =32.5 ( 7E)
6,,f&D,ft,R )ilffi 32. s )L
"
(2)(70 -10) +7.s =8(+H) 8 +1=e(ffi;
E,IfrW6,,*EEE e +fr"
4.it_5EfE lcm
-
'*""* 68%
rBfl 3+stE
5 (1)3 4.5 6 5
(2) iLte,*,*.J,*,
5
4
3 ffi,**' Ef*iHIE EUzJ' tri& ffi Ht EEH tt 4!J i:zl< 4[ ffi
2 f
I ffJ )t, IEF h T lX+P ffi., 6 frAW E zK fi F A z]r
1234s67€rn$llaJlFi trtUffi . Ffi U E tA ^ Y szl<&IrEI- BI#H*,W,
*ft EE E + H *,F^*ttfrf itkfr tKfi Ffrt €iH Ell E .
+.
reAR/rcffJF,C
EfEfrrd&,€zj.sfEfr 1. s rtE-+trEf0fr. #E,:,r : ii# 6t .F- r ^ ) t* 6 ,A * e < z v\ AB
(4)1.5 x5 =7.s(ffi) 6:s 21.616ffi7.s W" h#M2frfrill1p,fi AB #t A
6 240 +ft ? 1-630 = t7o(Hr+) * fi-+ i*"L#t &,*-*Fhbh
E, tl,w rfrvfi.&wffilvt + ilE t7 0 Hr+ 7K A,B ffl,*-rE t t " ; + M 1 fri fr , iL B
" l+#r,i.fr 5 v] AB lr +M
7 6 x4000000 =24000000(trX)
24000000 E)|( = 240 +X< a fri fi #' 4 r M , ir+#l,F,fr 4 +.
(1 )10 (2)4s
240 +24 = 10( Et')
10 Ht -4 B{ =6 Ef R* t&W ho - * E*,, &, h *,fr #t &* Hgn *a
24N-6H{=188r} {.-,i., rY *ilb"l1.,i._,&rfrlt +2 +3 +... +
"
(n-1)l^{.,*..
6,8ffifffrft2024 +s fr 31 E 18 F{SE6!.
ffiI
8 ffi,&.A ffiffiffitrXffJfifffiF7* tr,flil B ffiffiffi +trBwosEilKroEn
ft.
IR*WUttfrE3x (1)450 (2)+E 3.t4x52 +2=39.25(cri)
ffi=f,ffil#*=zo (3)3:2 480 (4)% (s)l6m G)n 1.72
A ffiffi :7 x3O =210(ji) 2 (r)c (2)^ (3)c (4)D (5)D (6)B
B ffiffi:3 x30 =90( jt) 3 (1)(6 +4) x6 -6x6 +2 - (6+4) x 4 +2 -4 x
6'e 665i*-ffJfilffift2t0 )n,B ffiffiH*Htf| (6 -4) +2 =18(cm2)
ffiF90 fr,. (2)3.14 x (4 + 2)2 +2 +3.14 x (2 +2)2 +2 -
0Fffi- Bffi5NE 4x2+2=3.85(cm2)
l.Brogi^tq (8 +2) x8 +2 16(+i'trX)
;n|lE =
:-EEil +tr8#69i^iR 6' E + iA€,#hffJffi#,E t6 Yl E)< "
tE
{o iAzJ'E H\HG.h d,, +WWH44.h d,,I|J B!
2 H ffi (2)zJrf tT +T (3)s HGfuG., + d,), 4\EIEK} d,r,F EE&}
O)+fr, 4
d,r,tWHKIJG, +d,)r,
4 (4)E.L.T,H E.Z.H E.H (5)40 ffi
fr (6)3 1.5 (7)@ E H.NtrE,1'B!{iE, a+w*,ffJgpnG' + 2 d " ')rr ^
H6fzl'EEtsB!HHA[+H+.
I!+)u.
3 (1)c (2)B (3)c (4)D (5)B @E W*,fr+r KEh+ * ! =
4 (1) (2)w
E,t*N*W*W,H.K-ff,
( I )IHTEEIZi.
(2) (3. L4 x42 + - o x4 +2) x2 =9. t2(m2 )
"
.-",*
69f
^#il#.t+frTflfl.sJ
$, ffi .E +fl frEri2fllflfrlflWfrtr h e. t2 m2 " ft@ +a4+fv.#t I ; ,ts@ ti#r 4+f,fr +F +4i" r" , fr
7 0)3.t4x2 +0.5=t2(\)
L.
6'i*dfi€HX$JAE$.t2 wmfg.*,?,,-fr ,Nia)*-Ei<t et+a. E @ tr
(2)2+2 -0.4 =0.6(m)
3.14 x (2 +2)'z -3.14 x0.62 =2.0096(m'z) 6t(l - 6 1 ),Ftv\@&tu E&,a^rf.+fiEf*fr"
E,WRZll' E0€+8fl ft 2. 0096 m2
" h t ++ -+ =+. ff"tltii,zy.ixlrn?yil66i+r
8 3. 14 x (5 + 1.5) x2 +18 x2=76. 82(dm)
4, E Pi : E f l, f L i 'f l r E rt H f 0 i 8 E ff4 H E TK 6 HE il r 7 6 . . 82 dm " h\Ey h @ 484" ts +r iE,a. rK f qt a. #J 4+4^ fu , h
15 x7 x 2 = 2tO( "-' ), .[,.l El E #] 4+f. h ZtO +
7"1
(t)72 4 (2)2s.12 6 (3)8 24 22 6 1=180("r',),@18#J++$y.zb 190 x5 =
(4)14 10 (s)o
@
60( cm3 )
2 (1)B D (2)B (3)B (4)c " 2.Bffi$:e;d)
3 6 x2 +4 xZ +l x4 +2 =26(tDK) { (1)ffi* (2)6:00
+*, eo
4,_.itEffifr+26
(3)AB c DEFG H I \K\ MN (4)5:r
8 xl2 +8 x2 = 112(cm) 47t0 (s)66 fE;rr: 6 tr ib*+#rBo6.tw +fri
i t I u ff v f i u f : 6 # i i . 4 T t 9 - 7 + 6 f 1 f i t t- 4 i+ + l z 6 k t , # * , & lT " 4f ^ #t #.trZ & - t L i " { t w .t 4 f z r + # fr r L f a r a f , f r * l F ' , M E fr , ' * + , F + * E i f b ' i Y , + + * d 4 # q , 1 A ) g k @ r 3 r # ) A k r u + w ,^ t + A l U it , J h rt * J L r i I L " # E f r *
uffiErg9tEf,o.flt6f,o. fr #r E E, Ffr v\ *. 6,1+-{- Tfb fi XL
"
(r)1000000 10 (2)360 (3)sOo (4)3 2 (1)c (2)D (3)B (4)A (s)D
3 (1) (2)(3)trrEl.
(s)169.s6 113.04 (6)37s
2 (1)D (2)B (3)B (4)B
3 F}fr,(32 -4x2) x (16 -4 x2) x4 =768(cm3)
Lfr t\t(32 - 4) x (4 x2) x4 = 896( cm' )
tr'tr=t, G2 -4 x4) x 16 x4 =1024(cm3)
768 <896 <1024
B,&flR8ffitr&rfiA+B!6flfrt"
tEzr : rt- -a *a+ fi th )x,T, x i 4+ #t R"fr tr fu x, ffi(3)ffi8*6pfi-"
ErR,-rfi*&^." 4 (t)6 +2 +2 =5(EX)
2.5 L=2500 cm3 3.t4 x [5' - (6 +2)') =50.24(+]-tr)K)
2500 + (20 +5) x20 =2000(cm3) 6' zJ' EI fJ:S Bt tr& H! EfrR E s0. 24 +;FtrX
"
(trX)
8,ffifrWfi18!{+fRE 2(XX) cm3 o (2)6 +2 -2 =t
8 x8 x6 -2 x3. 14 x (4 +2)2 +3. 14 x4 x8 = 3.t4 xl(6 +2)'z -r') =25.L2(+frtrx)
4se.36(+r-4lx) 6 : zJr El ts:t ffi trqH! EfA F 2s. t2 +;FtrX
"
( 6#6pE-) fuElFfzi"
(6+6EE[4)
€Jt, A+mffi H
*-.tfrfr =+=frM,-+Klvffi-+E
++#t&frhv. - -Lfi-L|h 4 h\)f#t@#l
frf,+ R"frfi-4Lh 4,r\X. -Ah A +*_ffJ@fu#l fr.ffi ,@ fr frtJ WM \r -#fl " fla\fif ",'ft
t ta
+f[ trE
Lfrttuff." IEJ E|l rE .
t
15 x7 x2 + (t +; ll -;) = 180(cm') )k6t,.#,frT ^ 3 E E . x E E H x / ! f E f f fi . i E 5 f f E r ,f a fi +F.
1O)O,7) (2)(il,6) (3)ojt E
180 xl=60(cm3) 38o
3 @6H @H tr 66'
4,WffiWWffFE 60 cm3 " 2 (1)B (2)D (3)A
E,:r: fi t#fxff Aii E ).E4"@tr,@4\gr4+tv. 3 (l)Jb tr 40
t2
,
=-- 70*rs* &
ffiiil
(2) A H.frh., EJt{Hfi 70"FFtz1fr. t6 xgj 4 (1)3s (2)20 (3)11.67 t7.s
i ( t 3 8^ ) ,f c i. ,a 5 ( I )s00
, )U. fEfr : r4.,tr*EE I . E 2, *,J' + ;; +^+ Le-+ +
t 4 A ii,s lt<#t fr 15 )-, E rv 3%
"
(2)4s
t2
(3)
Hd#ifi fr ++ffi ++, H'lH,l.'lH,Efr it E
zo2s+tA
,\&
2N
4 150
)r,{tffitr,4s'
100
50
"
0 *4
61a,s.K h,fa,s*r.l(. A.fs,ts+(A 6€,uE
(d&ert)W++4
G) H {H,t'MH ,W+fil,rfr
Hnffi 4g,E&++Z
, Pi E {H,L' "
2.Efiffift
(8 +5 -1) x (6 +7 -r1 =tu(\) 'N .n
6,Bfi&\-*H L"
144
f
fi EBffi ffi H9, fl]H ffi 6 IFJ ffi Xf Tfr IE -f ( I )Or,l6E @Zl.trlfrV @-E @trIFE (2)3
ft,*. (3)7 (4)L5H-
trJ6E
hr^ffiTl&ffi'frW." (EEEII4) 3 (1)c (2)c (3)B (4)c (s)B
gEIaEfr ,EB!{iEE ( 0, 2 ),(2,2),(3,r),^trI 4 (1)l 2 3 t 2 3 2 3 4 3 4 5 4
6ESr[,ffi{nE EG,2). ( 8,2 ) 56
"
Qfrtift= r f . f t i r i+ i+ -5afE^Ett ( 2 ) B,t Sf xiA+, Ei, ffi f H-L ffr&+ffi bV, 4
{'Vt,Htfr,H 3 ffi,+T 4 WA 3 ffi,ltT 4 ful&d
(r)fr* ffiM *M (2) G)6 @s 62. s 3 ffi ,'ry,+ Lffi Bi EI6E't4tE +.
(3)23.3 (4)100% 2s% 5 (1)10<20<50<1oo
2 (1)c { (? z)B + (3 Y )U 4)D (s)A E, ffi4* w # X yl nI frE,l+ R X., ffi 4* - + X ffr trl
3 (1) ird
EH 6Et4&zJ'.
tr-fr. =\-\ . t a rr : , l t #rt E & IF r N t ffit (2)-+X6*|lT'10-1=e(f)
:+46*[T 20 -tt =e( f )
f
,u.i.+ 168 40 72 56 =+4trfi1T 50 -t2 =38( )
fr.+w. 66 15 30 2t ru+4tr#JT:100 -64 =36(,t )
38 >36 >9 =9
t02 25 42 35 S' T [F]ffi # 4+=+ XffitrI 6E'14ft /t, ffi.4+- +
^+.fr.
(2) Xfin - + Xil.rEI 6E'ltE zJ'.
EE d tYE. n*ff fl lE HEfleE il + ET
ffilJ{ftn6trtfri+B
2024+to A -. 1 150 40% -25 6300 1800000 I
8
lTI]r+x
8x+x 2 -t 0.25 '*r*I> g r:3 2:l
4 (l)E Q)7s 5 2oo 6 24
ls
7 28.26 8 840 490 9 1.3
2C 3 A 4 e. 5 c 6 A 7 t
=.18
fl,**6^ tt#t+n* rfi*68 *f* 8C 9C
.=:
71ffifil
drsfi#.trF&Trfi.sJ
=.1 12 2.4 0.5 3600 0.36 o 0.65 3 (r)e.e Q)8+i1n
l0
.,3T ' ttt*t*6,944
1 llffi t(D t*ffW tt,#t l<E-tuFF
*
fi-lY.lrl*& ,r*A$Hhsz + fr,,|+ff#t &A.ff
2 (ilfEBE)* =3 x =0-6 . =lj I E*- " al v\t,P.4E && X A rl * yY.4rt, *iL+ +h
6#Jfr-?ft*1fr,"
3 (1)4.8 x101 -48 x0.1
=4.8x(101 -1) 21 (9 - 8) =5: ( 12.8 -8)
=4. 8 x 100 x =9.6
=480 (2) +rt 4+#r ffi a L n + h, 4h f*lY+E -Lfr #t *-a
@(+.*-L, r* *-fi,rt *xt)a#JbY'b'l
"
ffi,iLl*##t{<E-fty E*-.
.t 5 7.
-( ' = 9 + -: 6 -- -) x36 2t (9 -8) =rl: (y -8)
12', n^
-$"x Y=T+6
=|x36+f xto
t.1 150 xl2+(240 -150) =20(tr)
=4 +30 -21
6,,R4 20 XftVWjEt,lEg.
=13
)1,
2o+i"(,
(3)7.75 -2.46 +3.25 -7.s4 2 -40%) ";i=18({+)
(7."t5 +3.25) - (2.46 +7.54)
=
S t8 l+"
=11-10 'iJEIffiEgE
llffi:l**E4W&.98-f 20 4+fr,rfr't iLtrrt)rgE &
=l
,,
(q+.t(L-#,,.*r + *.fr't ;,T vx * * ){il.)i Efr #l,ts{+&, f* E lk#
3 .2 l. +Fr Wq * &,6.f+&fri 40%, ar v\+ * a m&ft
- - -!l 5 -v-l =Ll5^6J ilfq&'*rE #t ,&4+*-, f*El.c"W awi{fl,rll FT
_ -5 3 ' 4 .1 5 &Efr #t 4+ evY,, T v\ i- * frJ W &rfr #t 4+ &,
s z ++ffJffiEk,*, t,rfi ut 20 ++trlffi = to
=27
a f, "2. t4x42 -+"3.t4x (4 +2)2 = +frwa> ro t+ffi ffi,rc ++fr+raeff, nn
6.28(cm2) xwh#o.#,
El.{ (1)(13,4) zo ++fr*Hrrx > fr,
(2) - (7) EKiET" Ffitil 20 + ; ? 1 E*fq fl tT,o;t. ( trffi AE
EIJEI)
4 0) ffi,iAi*_H4 ff1BE?rtft * E*
"
s8.3 )K =5830 EX
r:5830 =1:50
x =116-6
6, jI_Hd#JHELt1E 116.6 EX"
(1)200
2s%
(2)(L -25% -45% -10%) x360o =72" (2)3. 14 x (4 +2)2 x l0 + * "a. t4 x (4 +2)2 x
(3)L#-/L
( 16 - 10) = 150.72( m3 )
100
E,i%Mffi,HH!4frR8 150.72 m3 .
80 5 (1)1
60 t;brl*)
(2) @tlfr:E;KFffi ,z x2 x t + 5 = o. 8 (
40
W&Mfrtrtrfil6fR,0. I x2 =t.6(n7.rl/r.)
20 h*)
WfrMfr trtrB0lRmifR : 1. 6 + t = t. 6(Y)t
0 D
r ffi+EE- E,W&Mfrtr ffi B!]REflE 1. 6 +I'I)/r..
.,r* - 72;ti
iiI
ttt