26春《练习帮》北师数学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》数学北师大版1-6下_6下教材帮数学北师版26春

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(5 ,7) f,fl( 1 ,3 ) ,fl$laH&XftrrrHffi Htm
*:0.5 =I,+ ,fiB,i{iEt( , ).
(2) trH WM e, fiE+& 6 ffi EffiWM B
"
I
(3) E frWfl A & : 2 ffitfffifr\NV c,
EEAi6ffi{iEBIJtrI"
tr.. at+l*{G.( ++ zo | eL s h\,ffi 2 rue 8
7
,';) ^,ffi
ht,ffi 3 ru6 6
1 +Rffi HE{E III'g'E{+ Ef, . @HE ffi HT 4 5
+
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#6il fr {ft H, E'B - FI K ffi 3
2
ei6 H! E E E 6fi " + ?E a\ ffi rt Tt 11 9\tk 1
E, B H f -4K 80 m.ff 60 m fu\KfrM, 0 t2t3r4t5l6
. ,-:
53ry;Try
dr#fis . trFr*Trff .
BSD
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4t&ttu
ru,*4 +,ffi 4 *&7 s ru8 h') tsxfidrfii+E
251--23.
1 hTtrJlfr EtlffiE futr ^ ry , ) f L fi H *E,{gi4EB ( 201-
ffilfrfrtJ, tfi,frw,H ry )Lnfifr WEffi 1,,f4 E 4T 15
10
5
0
Effit,ftEf {+EfT-L.'E/THtE s8. 5 kg" Q,e&r+ *.e*+Lf-+ *+t, Ee
)*+WLH *Ht Wn$tul WfrEB f 4 JL ( 1 ) iH{4ffi Mffit W ffi *Mfri+ W h E\41
frfrM..
Frtr*Dt*t
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+,&[TFrt{taa(
)8"
Wtf[=,
i*
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t\fr frf , ffi + ;f y)(*rz\-f,_ p:n xlh*a)fl,fr&Mnfi P L.a,rb,ww v\fr-*k&
ilT, ^l\ niirKAF +MXl - !\P/ wlq+
*)' tt ta ( q,6;a), bY.E llt w- "
(3 HEFfiEWffiffi{H,H, ,i?h0fiffifr
4*-tr712iL" h,a, ) +RffiryE
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ilIBffJIEfr.
ttrlidr'ffiffiRlolffi"
fiTtr ,)W-+Effr)fi t6 +{tl,W-ilh
,# *
" E E IN" H ffi E+t tr Hffi #$ E!,ft &fl(T E Ht i-ix f+E*, H i* ffi ,rx ffi +
tF, l\##fr trfi {t H ffi E! Atr ftU tszJcY.
HtrT}H!,fAfl"
ffiifl{ tr, 1a Fd+ m . +h, ffi H't e- E LV,rtJ *r
85 i 12 :3,EffiffJeB?tJh 33 +fr,fllsA m*ffi
ffiffiffifu\A&&?tt*,)-tfr,t
( 1) A-1ffitr)WtLijffi+,Bmf LWWM
Inl6ffiffiH!*4t ffiltrtr-5"
xf T E, A H T:5trrtrloj M, ( J t H ft'+{n iH
Ffi X ++I+fr ,f1 *I,E ) E >R, +,fNiA E H! H
* *& t
ds H Tr Ftrnk:rh Ffi lfr. re A H tfi 7E
*flE ffJPh r<lElEE. ffi 4r| x . fi H, 1kffi+g
>F" FIn{ , H,dr HTtaF^ tL,,\ ( 2 ) txBt+t'fll+ z B[Lb FJ 6E{, fr.ffi1t]T W
^P*Lfr-T kfiEfi nn}t z iH#- t MA rfr|{:ifl .
EE
dt H fi 4*.# h Hat H ;t1 +frH,ffi Ts h "
"
BiiB+ l{ ffi , U EA A.H H {.+ T ffi +H X fH,H.
inT,
ffif]-,
8,ft^',U,H4t84."
"**"" 54a+s* *4
EfJa
@E
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trt-t1r|,Fg,Wli#, R"fr Hf -Lfr fii4+EkV,^*
,M,W.'E?l8"
imE!
troeaE$r
6 50.24 + I +3. t4 +2 =8(EX)
1 2 o x ) r x k E w (2)oo @ 3. 14 x82 x2 +2 x3.14 x8 x 15 = 1155.52 (+nfE ()
\/
3(1)68163(2)6s103
4X *"_TEl trtr8g{sfP.
( I ) EiIH0{ttrRi.tHAtt Q)ffi+ +E+
H
5 K,6 x4 =24(cm) ffi 16 x 3 = 18 ( cm) (3),,EEfrR ,lfrEfrR H
H:lo cm 2 (1)B (2)c (3)B
6'B+FH+FJ*[HtKE D ft 24 ",fr,5.Dft. 3 3.14 x (10 +Z)'zx (8.5 -7) =117.75(cm3)
18 cm, Her)-ft 10 cmo
6 15 x8 +50 x4 x2 +60 =580(cm) 3.14 x (6 +2)2 xl} =282.6(cm3 )
E,-^tffiE$ffi 580 cm" 282.6 cm3 =282.6 mL
:T-?EI| EEBltffiF 282.6 x4 = 1130. a( mL)
1130.4 > I 100
H
1 ( 1) KfrM /ftEIflK ,,REIflK H E, lM€ XtutrEzK tr 6E * 3U E rF
"
{fl{EfrR ,lRHfR 25. t2 +3. 14 ;2 =4(cm)
trtlBt,frEtR :3.14 x42 =50.24(cm2)
Kf,f+k!,RHfA,8 x 8 = 64( cm2 )
t2)
'dKz..wwl*frRHJi/("
fEzlr : &;t v\ *,,t fi\* * @ *rfu )t< T 4+ #t 4+tA,
s
(3)78. 376.8 533.8 gvb#-"
2 0)B (2)c (3)c (4)A 3. 14 x (4 +Z)'? x (6 - l) =62.8( dm3 )
3 188. 4 + (2 x3.14 x2) = 15( dm) 62.8 dm3 =62.8 L
6,1$tE/tf,lH!HE 15 dm. E,RgfrE#62.8 LtK.
4 3.14 x0.6 x6 x10 x0.5 =56.52(+H) iml_ErE6!{fifR
(t)s6.s2 (2)o
1 @
5 AIEJH. E t EITPI,lfr EEKE] frV+TKTM 2 (r)A (2)B (3)B
.
ffi K. e trIfiE+TKfr frrfi!ffi 5 trf+ trl,R EIfl
3 18.84+3.14+2=3(cm)
K+TKfrMH!ffi Ef , tr T+ H! E M +'€ft 9, 42 +
3. t4 +2 = 1. s ( . fiIBf E&trl,RE +'Gft 3.14x32 x5 x *=or.l(cm3)
"rn)
'2.) cm EL l.) cmo 4j. I x1. 8 x20 = 1695. 6( g)
' i je\ffiwtF&
fEfr : /fl rk#- fr ,fr. X- ti" @ *i ftI 6 fi141 H-')* , E t6es.6 Hmr(" .'**
55D?'E
dr#il# . .
n*s?BTfff BSD
3.14xG +2)2 x1.5 (2)(942 +942) x 16 =30144(cm'z)
"+=U.28(m3)
30144 cmz -4 m2
6.28 + (40 x 10) =0.0157(m)
Er6,).ffigi-[6*+ frN"
^,
0.0157 m=1.57 cm
(l)3.14 x60 x5 +3.14 x (fi +2)'? =3768(m'?)
1.57 <2
6, ffi zJciE*F hfulfrffi,R 37 68 m2 .
ryiI,r+rxf . ry tulw&M^*5H|l fi Ht trffi + (2)3. 14 x (60 +2)2 x 5 = 14130( m3 )
8, HzKtlPi#ilRE 14130 m3.
,H+H ,fiUtrlfrvf *Ht{+flEftllfFS tr!Effi
H!{+frRH! 3 ffi ,WffiM *E!{4frR}r,ff||fF$ B! E 4 (t)22 xft = ro1"*)
+E$1WrtR* 3 -1 =2'fS,trILryiil1* xt. friZ 6' E+5{+,R EB! frJ WH44F 16 cm o
uE
ft{ {f Pl E ffi E fr WffiMffitrffi tsmFI kt, tfi (2)22 +2 = 11 ( cm) 16 +2 =8( cm)
{IIE!{+frRIE+ ,LiX4+Xt " ( }EHAEETJEI) 3 xll2 x40 -3 x82 x40 =6840(cm3)
K ,,+ x3.14 x42 x6= 100.48(cm3) E,lfri*t#$4l+ffi9 6840 cm3 klHf+.
3.14 x (4 +Z)'z x (8 +6) = U5. 84(cm3)
Nr r+x3. 14 x62 x4= 150. 72(cm3 )
6, H* BttV*I{WtfrtrRft t7 s. 84 cm3 o
150.72 >100.48 t50.72 -100.48 =50.24(cm3) 6 6 +2 =3(cm)
EtK2 +H0EfEB'l{+fl/t,t 50.24 cm3 o 3.14 x32 x 10 +3. 14 x32 x (14 - 12) =
+7ElE{/Eilllffi 339.12(cm3 )
-, 1 62.8 37.68 2 21e.8 3 1s0 500 339.12 cm3 =339.12 mL
4 (E*TW-)O @ 62.8 5s E,)*+H #i&ffi 806frR E 33e. t2 mL "
6 s6.s2 28.26 7 31.4 cm3 I 7.5 94s Ezrr: EjF,AlL#rEf. = **)&ffiLltx + tr.n#t
Wtx"
10 1884 250
-.1(l)D (2)C (3)B (4)A 2B 3 A (l)3 x4'z x5 =240(cm3)
4s 5n 8, $tffiWffi S zl<H*[j] tul tfrtr ft 240 cm3
"
=,ffi (2) Kfr t+d+$Pi/H EfR z24o + 2 = 120 ( cm2 )
E. 1 6 x6 x2+10 x6 x3 + 3.14 x (6 +2)2 **ffJffitr,J2o x8 = 960( cm3 )
E,&tffir*.H0{+fl8 e60 cm3
3.14 x6 xlO +2 =374.46(cm2) "
(3 )960 + (120 x30) -26.7Yo
2 3.14 x (2 +2)2 x4 * * ,3. 14 x (2 +2)2 6' Efffi4 ffJWtrq EWffi6#$6rRf0 26.7%
"
3 = 15.7( cm3 ) llffi (.tu@ bfr +*-*{l tR"@ +'44 h 4*.*.* * 7K
=
t, 1 3. 14 x3 x4 x0.5 = 18.84( +H) fr +f h\ #t "a, at * nr fl *, 4*-rx * * rK fr +r h\ #t 4+
s,-*EHiHY4 18.84 +fr" 4r,. # * rY @ +fs #J 4+tv.'dL*- rl<. T W +f a' fi +t
2 (l)Rfr,3. 14 x 20 x 10 + 3. 14 x (20 tr,, h +k*.* * ry- ^ f r 4F h\ #t 4* fiv.Y# v\ rK 6 f f+ 6t
2)2 =942(cm') -aE-,;f 4+E##t R"frty., fifi;f r,;t14 i+ ff4*.r*.
L7fr,3. 14 x L(20 + 2 + 101' - (zo + #r4+fiv,4+4N, h i+ trEX R"@ fiv.*lLfr Lll $r A
2)'f =942(. ') A( 8 cm) &E n 4*.r*.{,t /6f.1* v\ *# frlJ E#.al
"
8,Wffiffi@WfrH1+FJtr*, v\'t++6,.SYY,"
56Beffi
x
$ 8 :30 =24: 9 x '7 5 =+
.
m
x3o
bLff!16li iR ffi78x =24 ffi: l4x=0.7 x5
1(1)5:l0 2t4 tf+ 5:10=2:4 lA+ x =90 x =0.25
(2)lO:4 5:2 5:2 +E+ lQ:{=J:2 4fn5 l
r:0.5=7:2
tofrsz (3)l4o r4o 1.8 1.8 +T (4)1.2s
Gt*
2 W-) L
ffiz 2* =0.5 x t
(l)7 x9 =63 3 x2l =63
frAr1ffib|.,@J
x =0.2
7 :3 =21 :9
4 ffi,iABE&4r#H9!, i("
(2)1.2 x50 =60 8 x 15 = 120 TfrELEll,tY,fiJ
(3)* =, 2 x:320 = l: 1O
x2. 4 +x 1. 5 = fiAfr.fr,b|MtJ
lOx =320
<l
6,;=1.5 12.4 x =32
*"
3 (6#^pE-)1 : 3 =t20 :360 6'iIEtH4tEHrtJ32
5 (1)ffi,ti:ffi9-ElxmLffJtK"
3:360=5:600
l:29=80:x
360 :3 =960 :8
4 ( 1) ryWffJH44fiLEffH:14.Wb|.,h x =29 x80
2: (2xZ) -r:.2 x =2320
ry EtrIIflKffi LWffiHKY,I1L}y A,ffi4EB 2320 mLffJtK"
(lrx2): (2xnx2) =l:2 (2)l
+9 =10
Bffi+rta2rfl ltbvfil"
1
iFf#i&,sooo x m = 500( mL)
( 2 ) ry E H!ffi tr ffiLWtrJffitr WbY,h
Ir x (2 +2)'l : (rr x22) =l : 4 o
7K:5000xrt=4500(mL)
B+ tt, 5 H44k1 bL6 frArE f i , bLEtJ .
5 18 B!trry 11,2,3,6,9,18o E, EfrAHiH#i& 500 mL, zjt 4500 mL.
l:2 =3t 6 2:3 =6: 9( 6#6PE-) 6 =ftrl,nawrevt+hil7c"
#3
p"*
p"I=#$r*HH
6
rflEi#H
ffi ,&til1lWffilh + lrnTK'c Hr+ .
246: (500 +x) =J:'l
3 x (500 +x) =)49 Y7
7 i6-1E0ffiI*xf.
1500+3r=1680
jI+&EIlJE
4 x8 +5 =6.4 5 x8 +4 =10 6,
3r = 180
2.5,6.4 4 10.
ffil x =60
ttfllosrum
E'q&Wffithfln*60 Ar+"
1 (l)8 +2=4 40 +4 = 10(f ) (2)8:2 =40: x
GEE|TbrilR
(bU,Mtl^W-)
2 (t)S'9=64:x (2)6:x=50:30 1 (1)1 :200000 (2)t:4000000 I 40
ffi28x =64 x9 ffi$0x =6 x30 (3)160
2t
x =72 x =3.6
57 ..= ""dt#fi#'n-fFfrTfff'
BSD
3 ( 1 )3. 1 e3o (2)13.3 (3)1320 ffi lrtrElMHllEK': x 4 = t2( cm)
(4) ffi {'tr1f,f/r-klffifrR,3 x 3 = 9 ( cm2 )
6,& 1 : 2 ffirl..ffiA)jMWHKE t2 cm,EfRtr
@ +-
ffiffiu*
9
"rr? "
€fr
( KFi{NEAFE-)
ENAA
300 600 9oo X
(t)zs
(2) E4+HW.9l gHB! Kt'EEHn
I
I. 5 cm" 1. 5 +rrOOO* =3750000(cm)
3750000 cm =37.5 km llffi tlE-ii^HfrikXZfr ,EII*T tu #t B ftiL4i^
4' B&FU4HH!*PfiEEHE 37. 5 km. *1, 4- ls^ +l E #r X t-W fr ik- X + AL+By E,
(1)##
YtL&rlRzl'f l:600 Hf ,*j&HtKfr
6*nffi-
ffi#r-*,_LfraEE S ( , A4BITEI )
(2)(EX6W-)
+ELn{riililffi
-. 16 5 21m 3s.4 412 144 Szt_:
5 12.56 7 18 25 : I 8 I ,2 ,3 ,4 ,6 ,8 ,12,24
tU,FtJR,l: 2500 t :2 =3 : 6(6#rpft-)
ffiT 9 (1)re.2 ls (2)e.6 7.s (3)HH,
@ffi#Jffi*flrffidr
10 I :6000000 2.7
1(1)@@ O Q)106 s fi/rft tzj'
-.,1 D 28 3 D 4 e. B D 5
(3)oD2t€)ct2 B
I
( EHo{nE7r.pE-)
=.
2 ( EBo{nErffi-)
2 0)r: 3m00 QDt6,) 60(30) eoo
^GD
(3)
3 iI*EEiMWLK:6 x2 =12(cm)
ffiXtrEfrMHiEK :12 x4 =48(cm)
WXtr rtfrMBlHfR, 12 x t2 = 144 ( cm2 )
,*" ffi{,EEfiMfriilK 76 +2 =3(cm)
5glA
9+#*
EfJ*
E' x: lo=+:+ 123 4 ( 1)6 t2 xm no Q)l/i . 30
2.4 iE
x 5 3s
il ) 1/' (2\
ffi, !.=f,"rc ffiz lZx=2.4x3 6 tr-TlB''
-\'-'
x =0.6 A.'^B:
x =7.5 lA
fr., ', m, iAH/tflJtt#f'+i#H{H EE * ^" ffiI Bro!fit+t (=)
160:x=32:ll
1 (1)trlfi eo" (2)J|m(4iE) 2 (3)D
xll
32x =160 (l)B
2 (2)B
x =55
3
6, HtfrU ttFf'+HfrtHEE ss m" I
2 6440 'f t< =644000000 EX HH ft
I
644000000 -21. 5 ( trX )
" 30000000
I 2(E*)
644000000, =32. hffi to# ?-€,'"E" f t,a o ft Etr't'E En ftt #J
zooooooo z
32.2 >29.7 21.5 <29.7 *"+k4+ h *. 1E*.+L, + 1+ E Ut,,F. o iLtt 1t ik-++
E,frt+LLMIR I : 30000000 tt#AiE,Blhffi -- 90', /.t.E{++ 4&,* )nri.+*-nf ,E,}..
jg
ffi tTf{ R K t.EEHftB'Jffi fiI KE. ( I ) e0" (2) l[El"
3 (1) 80 cm:200 km=80 cm:20000000 cm=
1 :250000
ei, BfiEH,f€@Pl rtfilRE 1 : 2s0000.
(2) ffi iAq PrriH l(Hffi4ffiH x cm,
,
70:'x=l:250000
r = 17500000
17500000 cm = 175 km 5 (1)E-Effi eo (2)60
8,*[n.LHlKHffi+ffiH 175 km
Eryrytra
4 +;ooI ** fX) =#EEI
ZO + 100000 =800(
B*trpft-.
80 +2 x3 =120(a7<ZE{) o)wvry atr+& 8 t&l+ltlwufr.
800 + ( 80 + 120) =4( E{)
(2) ww L#,,F. M', Jlm H{ft iftw e0" l+atJtr,wfr "
A:4 /\Bt'Effi+fEiE.
(3)wMryffi,,#. M )frBt{;llft++ e0" Ffr1fr+& 8
llttfi ; *.tkltr- vbitt Ki+ fl * A, B fi t*,#r 94 w fiE
t&'4+I\@ffiL"
* ,*E trn v:'lttatla*.+.aitnl # il c+#tib
2 0)(2){EEl'
E-, $ffi i* *H€. tE *8 6i *BiE Fi fq
"
Bee6 b
ffim
B#6!ffi+t{J
1 tEEfft e0 68. E*TW-" ffilln
2 2 o+EwM B fr,F. o )tnat+tfftw e0" I
3 @+EwM A ffi,F. o fffrntFffftw e0';
@frNfli A4"H. o,ltFB{ffIft* 180".
WfrAfrfitr +& | fih, Ef,l T+ ffi 2 t& tBM@
iifrET ,#.)yflt*Frew eo' , H.ro1 6 *& r ffi ;W
59 ' ".,*.@
dr#ffi#.t+fiTffi.BsD
5 (6+6ffi-)
M@frffifrt,finmE{flffiW e0" ,HtA.L+ffi z
L+&
t& $M@fttit7;+& 2 t& ,H"frJ 2 M "
(6+6pH-)
5 6*4rE-. LLII'
wrr, t frWEfitTia +s'ffifi,fiJtffiEtftlEffi 4s',
+*HfiT+&r +&,HFsl;+&4M" 6 m" Ezrr, H EE-E"
wM 2 frfiT +& s +& ,Hf,tts+& 8 +* " 8_ +nt*{rrurffi
wM t ft#"q. klH.fr m,fi, nm H{ fi nftw e0", &E -.1e0 e 8 2W +& 3Xln e0 lE 90
AJ:+& I ffi,tstFJE+&6ffi" 4 (r)A D (2)G (3)A E 5 nm e0 5
T:EeofrsltFeoE3
@Y, 4 kfi l:+fr* 3 ffi ,flFsE+& 6 ffi .
-.1B 2B 3B 4B 5C
WM s ftfiT+& | t& ,Hl,|E+& to M
" =. { ( 1) 1 (2) (3) (+) EElln-F,
WM6 fifits+& lo ffi,EIAt+ffir tfa."
WMl kfits+& to t&,r*Arili+ffi 1 t&,H
qEfulHHIN,F,,IMHf ff iEffi 90'"
6 6+6Fe-"
LVIE
6+
(DWM M frffiF. A ilfrNfirft+t eo., EE
ffi2 t&4+atJWMN,
(2) wM M fuq,F. D )y.flt +tfftffi eo " , F r,r 6 + 2 E*6W-"
ffizt*4+ttJwfr, Q, tLir : -F,t A trF,rT+ffi | tf6, fits+& 6 ffi ,H
wMP frafi. c J|lnFlfliE* eo' ,flFta+&2 frfrTrfrF.fiE{ftffiffi e0";
-Fh s f;,frJ L+& 6 t& ,#FrEY& | ffi;
t#4+4\WM Q" -F,H c frfiE+&3 t6,Er{I 66ffi;
wM N fr#,,R A )Elt{;tfftw I80" +*ts E fr+&
f D frtita+& s |fF-,H#EtU,F,iEE{+rffi
,h"
2 +6,Ef,tT+&2 t&4+1tl\M Q.
ffi 90'"
ffiffi
mxsiqi+ 3 6#6pE-- , iH El ,
(r)+& (2)ffix{ffi (3)ffixfffi
@)ffiw
1
(1)c
2 (2)A
(a+rffi-)
3
5 E*6pE-.
LLiH:
ffixff6
orryypry z tK"
j)ffi' ( ,k*+n')*Z^'E--) fLhEfr A %,,8 o Afrtt
ltik*+ 90" 4+ttJ W fr B, !* k W W fr A,B #t 91+
Nfliu\,F. O h fx.*t q,srF ntltik+t 180"r+r'J El ***
#ttld\l?
,fir, C.D
"
60ps* a+E*
%3
1 :2.60 :120 =L :2,65 : 130 = I :2.75 : 150 =
ffiUE{tolE L : 2" Ell1ffJLU,Hffih 0.s
"
( 3 ) ts+ LU,E tfi *.l;Bt H X E € + E Ef H trJ 6l
(r)r +xw. %++w. ,fr++w
1 Q)zs fiF, BpH,k!+f|"
2 ( 1 ) Xryffi tr * #lH H.EH.+.N.41," Q) -H*ffJ (4) \ E E fi 5fEtr kl ffi E EFI tr- b\Etl. W h
HEWEXWB!'Bfu ffi}BlrN " ( 3 )8 ( ABBPEi ) # !qE i dI # 4 B = H,Btsl/|( --E)
( t ) zJ<{i&H E7 *,Rl*,E 3 X. "
(2)-X+,0
- t0 Ef .20 -24 fr{TKliteJ:I|;
L0 -20 Ef ,/({i4Tp+" ffi^EfHxffiHlE.
(3)ffi=X6 E{ffiE 30 Et',58fr-X 6 Et'.ls H{ (2)nItr tLFtJ" Wh" rEr,H.E + fifirB{l{ = ffi
rit#(-E)
frlzJt{ifElE, "
o
* Ell&,ffi & E-Wfr+J WffiAA nt', HroA,lR MfA (3)frtrbLFt)" Wlr" trf+Ht{46R + H = @+f Et
ffi zl', lfr EfRffi € H Blrgrn ffi trfr 4'. IREfF( --E) " .
jifiE : rf,ita\ *t h+ F f #r &*8,'t sA A El *r.f+ (4)FIIELL6IJ" Wh" zJ',EH0,H.FE, Efi = E'
&*-ird\"fr #,Et A #t *_4r, *. " ,r &T 6 6t El FE(-E)""
^
frrL4ia-*t,
m 8 20 96 408 656
n 0.4 4.8 20.4 32.8
4 (1) fr,frtuFtl Q) ffi,frbl,fitl (3) l\rtW,FtJ
fi/cm I 2 3 4 5 6 5 6 +l =24 +4 =54 +9 --96 + 16 =6
lfrfr#/cmz 240 120 80 60 48 40
JRMfrRfflTEfrRfiE tLfrJ.
7.8 + I =62.4 +8 =210. 6 +27 =499.2 +64 =7.8
342 - (20 +5) x3 =330( */f))
tr)bEE + WffR ='6117; E*H!trtr ( -E ), Ffi
a =t *5 x3 +330 E[ u =0. 6t +330
llffi : a-iw )b 20 T nt F + Etrn+ ++ M#r iLE- U rtfr WffJ ffiE 5,f4frRfi tr tT @J "
h 342 *-/*, ,LO f,th ,'n;H++A 5 T,, , F + ( I ) BltE-nffiKH! rtff{R.fEE ,FfiUWt:W.
&trnf ft ##r tLA_iti}.r- ho rt 3 )F-/ frr. tc, t- * H5*PMEEH,iETLfr].
o \ftt F+fi-tr.nf #t++WiLE-h 342 - (20 + E.L.EEH/E* 2 3 3.5 4.2
5) x3 =330( )K/fir);tflniil r 6yt 5 *.3 ** t. *FNEEH/+'K 50 100 150 175 210
t
iflHne$iLE-#t W tuA, h,-t 0 fi F + &trn (2)'lH)E-
f #t++WiLA,-*ift-1ifrh t tt F*E,EnP++# *.
ffi ,tkP.ffi ffi&Zldj H0*PfiEEHE * A
tl&-E-r,"
ffiT r : (8.5 +13.8) =50 : 1
iE,lvnt) x =50 x22.3
(1)58Efi HEE *8flffi HHE x = ll15
(2)60 ; 120 =l :2,65 :130=l: 2.55 : 110 = €i, F.ffiffiffizt6JHlqffiEEHE 11ls +)K.
"*
61ry
drsfi#. tr&TflE.BSD
:ffitEtbfiil
1E)E-
*.
ffi ,WF.Effi IUZI4 B!* f,nEEHE y A 1 2 s 10 20 100 (r)4 ,t 100 E-
y : (13.8 -8.5) =50 : I
(2)trR
Y =50 x5' 3
Y =265 6E-f trEH!&"
a, ry .EmffizHB!+BiEEHE 26s +r("
(2) 4 fr,F-bVBJ " Wfr , H.ffi =frM + ffi + +N,h
hffi : (2) F. a. fir -tb,4at n - + lDi"L, E tt1 ffJ EWZffi F*E BO, fl -E,A F\hLEIJ
"
#t 4L E *. A af AVfr fft 4t'ft )x,, (3)FItr LLF\)" ttrfr '€X+.rffJB[+W x *.P
@Ltfu,4atY.6 6],&,214
" XW=+P4/t+ffJH.&(-E)
"
p g.SEls z t3.BE.*- *l (4) l\F- bY. btl " Wfr , E X&1+ tvT.E il,J WA. 5
^
@W *,lat a. fr ffi,,uat4 .
t3.8E,')f- +*:t+ It.,nE fflWE 5 Hitffi 6 ll,bLFtJ .
4H
:GEEI (s)fittrb?Ft)" LVil!Efr x tLE = LLHlBt
-rE-E
,fi( -.E) .
(1)4.s 6
7.s 3 (t)24 t2 8
6
(2) ffitr YL6tL trt,H.&&ffiEe S Wt IWWN. tr ErIB1trtrMff)+W x €+Ei-MW)il
4l,ffip{P-,H,H.+*W.+lh& = 1.5( -ft.) ,FfiUE K=24(_E)
#, ffJ ItlW.5,8 ffiW.ffitr L?,FIJ " )L
4(t)A;7 7 ffi
F-bu,BJ
(2)Xxo.5 x8(x.Y frTh 0)EIP-IH4FI
=Y
+ =r- = t6,x ffi y trlbLE -ff.,iXEE x ffi Y li
fril*N*ft-Atr,fi ( o,o) tl&*
" rtbY,BJ"
(4),fi, ( 16,24) #)xRH#.,t" iI-,F. *.fi 3tr
5 80 x30 =2400(6) 2400 +t2o =20(t)
frlhryh rc $l1t ,,H,&wh 24 fi"
E,A,EfuH 20 +fr
2 (1)tr Fflsl=EE(-E) "
Wffi+
(2) ryfi,Elt 11:m Bfit+:tlT rn +*,frb?Mi, +7Erg{rii,llffi
l
REIfi,l EXtz\ 60 +X,180 +60 =3(Ei() -. LLE tr
,
Ffifl A fiEttrIEEBtgtt-iltft3 EX" 2 (1)ffffiH0n{t4 fT+iEtr (2)+r+tr8 x
3 (1) W+11W4F-&. trt,H.WffiA!ft48o +r(, EtrHBqBflEl (3)[f;{6( fr]rfi4') AIE 2400(4
ry+HT 6 Bt,L+ffif 8 E{, ry+HH!H{lEl4', G)tr
^A)
3 8 2 4 Q)3.4 4.2s (2)ruH -E E
FfrUry+.frW4,+,W"
(2)480 -480 +8 x6 = 120( +X) (3)43 5 (1)E Q)1.7s (3)e 6 Elffi,
6, * F + it4,fi frt, L+-H4-,H 6€. tzo
SU
-,1
+re. 2 3 frtrrt&[
*6
62 ^ffiWBJ ^fr,tLMJt+S* /'4
EffR
4 ffl,F-bU,ffil 5 fil,trbl,Btl @ea
=.18 2C 3A B 4s 5B 6B sril- I
ffi-5{tffi f.il0li^iR
7B
ffitrI
{ ilErr)'*
E. ( r) FXtrbbfirJ,Whff +fr\Hfrfl+tuffJKfuffi
XffiBiEf A., H+WB1K + tl#ffiH =
0.8, LLffi-E" rEfi: +5, 0.01,+) fri&., -24, -5.2:
(2)2 2.4 10.3, l-23%, +56, -Tt3,
4 3 -90%
4-t461€tln
5
hW MW
4 7133
-24, +5, 0, +56
3 tt '-7' roo-
2
I
0.40.81.21.6 2 2.42.83.23.6 4 4.4 ?il#tX<tn 0) 2 1 Q)1.78 (3) -1s4 (4)78 (s)20%
+a Q)# M ,l * ,l
( 1) (3) e bLYfr
K4^E{,ffSH5m.
ffi,ffi,} tt.9y -2 (a) +3 -s
( 3 ) ,fi P t/T+Wf< 4. 4 m B{, ff+H 5. 5 mo 4
wh 2.8: 3. 5 =0. 8, ELHfHIEI, Ffr D) rt.Q. 8, +Z.S -4 -1.5 -3.2 0.7 _5 2 )
3. s ) &ai* +.H*,L,XXifr4+xt .
( I )20 x 1800 =36000( dm2 )
6, /tlTBlEffRE 36000 dm2. 5 (1)^E,E+" Q)TF-,F- -I,
(2) ffi.E L?,EIJ " W h Ffi ffi &WWE fuMEf! H!
ffi#fi
N.|LffiMIL,, E-20 x 1800 =25 x 12t40 = 30 x
..'
1200 = = 36000 ,EmffJffi-ff.,FfiU)*W+ 1 ( 1) -+- lz=+JLHfr 2 ++4L 2 +lL 22
A.ffi,F-bl,Frl.
Q)qr{c,6m )L4z€lwH8)Lnx+=H e 4L
(3)36000 +48 =750(4)
(3)34s6 (4)11 (s)8000000 808)1
E,ffiW 7s0 4&6€"
8880000 8 4L t\tr6t\ll (6)10e (7)OD
ZIEDI.ffiIEE'R.
( 1)
a, @1 ab (8)4 (9)3t2t}y
Wfr ,frTI,itKEIfr, FAEDI.€Xi&I20 X,
2 (1)A (2)D (3)A (4)c (s)B (6)c
LA&p^@xfi&I' +o x<,20 <4o,tfrD)Lrffi
El.ffiriEtr,R" ( AIEEIitrI) 3 700089 708900 987000 900807
(2) 4 49 fr\JWW.2t,7 ,49
6E(---'
28 ffiB&.rl ,2,4,7 ,t4,28
400
360 4e 6fl28 #J&X^WWft7
320 "
280 (4e +7) x (28 +7) =28(t*)
240
y*"
200 624.,).ilUW 28
160
r20 5 8 f[ 10 ffiftzJrzarffiWBq}.
40 +6 =46(t)
I 2 3 4 5 6 7 8 9 l0Ellil/X_ 6,iSffi#RA 46 +.
63.*ry.;TIEl
dr#il+, t+&Tflff .
BSD
#ffir@
4 A,=M *=13
5 37 x3l =1147 Ll47 +31 =37
1 (r)lso 40% -94.2 6397 1800000 1
8 6'EffiBiffiM1aE37
"
ffif@il1r
r
@+ + (3)r8 60 20 rso r.s
(4)7s 130 (s)4 (6)7 4 3 4x5: -7 x3 - _20
-7:- 5 -7 x5'7 x5-21
(z)3l,. i 3.14 3.1 31.4% 3 *
2 0.64 18.7 0.072 Lz
100 +
(8)o. s
sf
2 (r)A (2)c (3)c 3 s.87 16 56 15 s.szl(i$ffiffi)
.t
3 + . + . t. Hil,,\tfrw,h&A,,1 Eoffit 4(1) 2oxto rox5
,tffiY?#X{rffi , ffiffi f , llryMt. " ( A4EP EJ ) ) ) ta a a a a a a a o a a a a a o a a a a a a a a o t a G a o t o o a t 0 c a c 0 o a 0 a a c a a & a t o a a o o o a , D r a a @ o o o o O a a OO
fl )aaaoaaaaoaaaaaaoaoa )atat
_s5 )aaaaaaaaaataaaoaaao reaaa
-56o ,aaaaaaaaoaoootooooa ,cooo
55 )aoaaaoaaaaaoaaaaaaa )aaaa
)aaaaaaaaaaaaaaaataa )oaa3
i)ffi : 4(,fil T v){'6 El * !b+{w tr'*tit *. 4..
)aaaaoaaaeaaaaaccaac )aaa€
@@@@ ) a a o a a aa a c o c 5 0 a o {r t o o ,aootg
20x4 4x5
t2 34
,3 45 25 xl4 = (20 +5) x 14 =20 x14 +5 x 14 =20 x
rrfr*t r+ r+.t" rnrxg.lq., (10 +a) +5 x (10 +4) =20 xl0 +20 x4 +5 x
^wf 10 +5 x4=200 +80 +50 +20 =350
tr A +fs 4 E*t L- ++ &+4i" & 4 +^*.{'l (2)G iltffillffil
^
S1- y?l}&fi,J. l, rE*&ri, xt,dz 6i
^&+1i&,1., llffillffil
mmm ffi
^ it * f . Efr&k. Itffiltffil
El{izjttr&tE 3. 004e,&zJ'E 2.9es0" 3o+3=ro 9 +3=3
2.fi69iEH 600 + 3=200
ffiEI 639 +3 = (600 +30 +9) +3 =600 +3 +30 +3 +
EHoeHx
9 +3 =2N +10 +3 =2I3
(1)(trflF)972 8m 4s 4s (2)7 132 (3)63 (h6r*6pE-.)
(3)
(4)so4s (5)8 4 2 (6)1s3 (7)4 (8)7s
2 (1)B (2)^ (3)D (4)c
3 Q ) H 2 + E LLffi | + fr *fr 6rHH++EB'J (4)0.1 1t2 0.1
s7t llffi z+ Lha#t # *,n x'li+S * A.
(2)H2 +EbY.H I +8L.fr{,TJHH++EE{ =lL#
o,n*4\&.ft a*."
(3) ffi 2 + Efr nffrHEEEffi | + E fr\l+ hQ6 +2a) + A, =12,
44 A, = (36 +24) + 12 =60 + 12 =5,
(4)ftffi2 +EfirllHHRfr<J+
*, +isA =5 4\^.4 + A + L + O =22,
64Etrfl 3+ST
*,)'
44 5 +5 +5 + O =22,Fftv\O ='7 ,
&E*v.L=S 5 O =7 4\^.[O - (A -n)] +Z = 450 x30%
1.5, *Hffi+BOryEft*')
^EtJ-@@
'&17 - (5 -n)) +2=l.5,Fl1u\l=t" 300x(I+20%)
b " t- lt r r - l 4-8-G 8 -L+rh45 x3 x (t -ffi%) =sa(n)
(t
T*Ih,+S x3 x -80%1 =27(n)
1111
=T-4-8-G
F&lh rqs x3 x ( t -50% ) =67.s(n)
lll B th, +Ufi1A $J ftT + rVr ffJ HW
=+- -G "
8 ffiTEH-
1t
=8 -G
1 UfrH-tW PE-..) Q)67e =700 104 - 100
I 700+100=800
t6
(2)326=330 12=10 330 x 10 =3300
+kfrrl f ,i f tH it # + ffi EH fr + ffJ &.tr - + tl& " (3)1269*1200 31-30 1200 +30 =40
itHEruH (2)
(4)7W=700 181-200 700 -200 --500
(1)c
(2)c
1 2
(t)F*Nffi20%
2
(2)+ftfE+RfUH!+
(4) ++fif tt *N,)'+
528+(r-il?=600(m) 3 ( r )8 (2)14
4 B
6'fflU#ElHHE 600 mo 5 (1)7.99-8 9.99-10 8x10=80
40 -3.4x5 =23(ll) 23 +2.s=9(ffi) 7.99 <8,9.99 < 10, & 7.99 x9.99 5 80 LL,
S *lUTH0n{14tr68ffitrI e E(^48{ir.l'EIUE&) g0 ,t"
"
'
siE, ( 1000 -730) + (65 -50) =18(X/fr))
@+*l=,,*, l,mut*|* r /t.
SK,18 x65 - looo 170(X)
=
E :$Itl *#Bfr it BIiEHE t8 */ f), r<+ BtKtr (3)89:90 19=20 90x20=1800(i)
E 170 X" 1800 < 1900
jlffi:l1#tu&rf t" , X+#t l*E_fueE-F q., Fl E,HWffi telJrt: )rW"
(+
(1000 -730) + (65 -50) Tvx*-* frl)LE_, (4)62=60 60 x25 = 1500( r()
it,fr & * ,(+ 6.t &/t." 1500 > 1480
20000 +20000 x2.75% x3 =21650(i,) E,zs'9Y1gqg1n"
6, fUgsf tf ZW_^*FI{+4,H. 216s0 fr," (5) trt 59:55 40 x55 =2200,2200 >19t2,tfr
(6#6pfr-)m&l-,O@ *HflE+B!fiEE uT.nlalE*+uth 40 nB!+ts 5e +"
65.*iW
dr#fiH.tfifiTflff.BSD
L9l2-l900 22:20 59:60 1900 -20 x60 = 4 28.6x7 +31.4 v7 = (28.6 +31.4) x7 =60 x
1900 -1200 =700(i) 7 =420(+fr)
1912-1900 31 -30 59 -60 1900 - 30 x 60 = 6'-lttr*tK#-+20 aA"
1900 - 1800 = 100( 7E) 5 15 x25 x4 =15 x (25 x4) = 1500( +H)
700 > 100 €'ts'1g#W/r.fr*4 XiEfr l5oo +f;7&.
E,*flUth 3t )nffJfr€.&416" 6
GffiEHE
I
4
1 0)234 l]rt*t&{+ (2)r4e 7s )rnB#e
1
'E (3)t2s **HA',E (4)0.13 2.2 7.8 2 I
**hWH I I 1-6
I
2 (r)A (2)B (3)c n I @
3 ( 1) 32 x25 xt25 e) l 6 l ' . 1 5 4 l 5 lt . -t -\ . r t * q 1 * I *1 1 6 *lz I *eq l. )
-_I-_-l 8
=8 x4 x25 xl25
655
- (8 x 125) x (4 x25) 1l 14', ll =r -( r-hl
= 1000 x 100 _6 ,5 5
- - - -t +fi
11 11 14 =r
= 100000
_ |
__{
t4 1
64
t 9 4 fEzrr : €it,q w'E. Eq,iL&,t &*iltr, :{Lta 5 + |
*&E-++*,
)ts
(3) x25) (4)
5600 + (7 101 x68 -68
3.it_5EE
+25 -l)
=5600 + + 2 7 5 =(101 x68 (t)4a +2b a' + b' (2) " tffit*trlffiw * a
=800 = 100 x68
fffirttr*{ftfr+JffiW. (3)75a +540 (4)s. 4
=32
=6800 9 (5) 21 4n+r
(5) 0.625 x5.8 +f x3.2 +62.5% 2 (r)D (2)^ (3)D (4)c
2
=0-625 x5.8 +0.625 x3.2 +0.625 3 * _0.5 =t x-40%x=0.48
=0.625 x (5.8 +3.2 +l) ) ffiz 0.6x=0.48
ffi:x -0.5 +0.5 =i +0.5 r g
=0.625 x l0 J =0.
=6.25 7
(6) 1 1-o7 ,nl
h- 6-
0.125 x2 q *2 4 xE r +z 7
l.5x+16xi-5=16
t**!*=o.a
= 0.125 x2.25 +2.25 x8.875 +2.25 E
ffir l.5r
= (0.125 +8.875 +l) x2.25 + 10 = 16 ffi, [rf =o.u
l,5x
=6
=10 x2.25
*=i
x=4 9
=22.5
*.
66ffiE'',,,54ig;g.;,&
168
( I )48 +3x = (2)x +f =sso ,;r*=4' 5 : t'e
120
ffi:3x =
ffiti s x ffi, l.9x =4.5 x3. 8
=40 =850
x
l.9x =17 . I
r
=680
x=9
O)ffi,1ft?+EilH!FEI,H.&9\fr *fr fr
" (16 -x) :0.7 =4 :2.8
x -40% x =9.3 ffi, (16 -x) x2.8 =0.7 x4
x =15.5
(16 -x) x2.8 =2.8
8.4+FilE!FBI,H.rya-lF-ts.s T h
" 16-x=l
6
Q ) @WENE @'I ffi Wffi.WEA W WW = ryE ffi Bfr x =15
,|trtrIffifrt$1517ftffi +eo; 0 ) @ Lffiry,ffJ +WE Ffi ffi* ffi lrytsffi ffi Efi
fllbtBtr-etlfrmffiryhA ffyWW = rlrbfrffi-erlffi
E-LLFIJ"
e}ffiDhdlHl}tffix2.2;
trjfi 30 x 4A = 1200,50 x?A =1200,60 x20 =l?-C0,
PlLfrffi -eh W Wffi-fll|dl Vl tRW + e0 = flrh ffi Bfr 6 Wre' t W x Ffr ffi* Ht ,,\fr = i$*t r Z
,i#&Xffiffi dlWlRW. x2.2 ^ffiF,ffJ
" ffiHE,H.fffi(-E)
"
@ffi lkUgfrBfr @ritr e} Wflrldt * W " (2)1200. so = 15 ( A)
x +90 =2.2x
8,ffiF.ls ,,\.
l.2x
=90 1000(6+6ffi-)
( 1 )5: 500 = 10:
x =75 (2) *-4+Ybl*#reA6
75 +90 = 165 ( l^) - - -i i -i - - i i .- - i -i .- -' - - i - -: -i " ' - / 'i r: tl -',t
A, flr6rg6fr€r]frfi]ffiffi ih 7s th., rbfrE-Ehffi
"y';'
i i i i i./i i
tr" ---r : - ---i : - -- i i- - -: i - / - i - , - -1 : - - - 1 i ----i,
Bi(ffirytsd:16s - - -l: -i -t -,'t /- t- -'r - -tf ---i-i :- i " i i--- i- - -':
(1)10:l 4 10 .i H 1 t 0 b : r l /t5F.tufi) - - - - - - l l iI i , / - - i - - , -' ;i ; / - - i , - -/ r i - ' ; ; " - - - - ;; ; i ' r - - - - - - i- i ;; ; - - - - - ' ' i i ;i ; - - - - - - i l ;; i - - - - - - ' ' : i
- - 4 " -t - - -i- - - -i--- j---l- - - j---l:
(2)e :8 ; o 0 s 10 t5 20 25 30 3s frty<t1,
( 3 ) 30000
(3)4 4 I0 60 40 (4)8 :9
( 6+76ffi-, A4Ep4 ) tsffi fiE K4tffi itpfr E
(5)16.6m (6)14 (7)s'f* 2t
ffiAIEJ,IEF.ffiftEffiW.
(8 ) 100 160 180 AffifiEKA H!ffiffifEIA , #[tzi Bf l{ ; ffi- ilE Kl
2 (1)D (2)c (3)D (4)B
ffJ^mttsfi,FT-r W.ffi WE, lh4 X #, E if; A E{
3 [: x=4.2: t6 x i 0.75 =?, + rft +EB]"t Ht Z^, WffiEiS]H B!, Ffi UW^ft
332 laLr+ ,*F5ffiffi+rl, Ftfl; ffi- MWffJq
ffi, 4.2x = 6 i1 x 16 ffiz ,x= 4'5 ffitzrrHeffiEEH, f i6 B! 1 Bt'it+5+&Zl4
33
4.2x =2 7' HIEEH re H{ H fI }B il NN WIN , Ffi UW*E _I:,+
10
"" 10 80, AXffi El ffi -6)1W 2 Et'ii+E{+rL Pl, B 2 Bf
21 "" 7
l0 H&HH64, iE E H{5 +& Z IEI HIHHEM*
67.ffitfrry
dr#tt# . n-fF&Tfff . BSD
ruiEfit ,tfruw^ftTFf;Ho , He E f[+&, H& E4rE+Fl& t2 ffJ s ffi"
EEBE 0 km tlt" 15 +24 +25 +26 + 35 - 125 ,125 + 5 =25 ,5 +W
7 0)24+(5+3; =l(n{) 3x5=ls(H-'f) EtffiEFE+ 1il1&.25 B! s ffi"
: x3 =9(Ef) 29 +38 + 39 + 4O +49 = 195,195 + 5 =39,5 +W
6, HEffiR&hfriJft ls B{.e Bf H!ffifirg+Ftry 3e B0 5 ,f#.
"
t
(2)(l xf 1 r 1 +1x, ): (t +1) =11:90 130 + 5 =26, Ffi D)&K +H IEHE! ttrUl z0 +,1'
EH*BPEI" ( Effi)
8 : BEf/ffifi tffi7LffJffiE*,ft I I : e0. 5 (r)(3n+l) jltf Lil:&rlx-+frifi:dE
:
(3) 9 +4000 1 000 =36000000(EX) , n 3 l*4,++,,J,i*tft t,r"*-yY,.Ei fli + &#t 3 tr
Ei( fx * L,Fftv\4* n t-tr-ifli ,fi*(3" + 1)iF,J'++"
36000000 =360
(2)4st
5 +4 =9 360 +2, f = roo{ +*/E'I) 61 6 15 20 ls 6
1
E,EFWfrEE 1oo +*/Ht. 7 35 +4 =8"""3
@)8a +4 + (2 + I +4) =3(EX) E,lfiJfr.tt#.ffi=rE"
sl*= |
(3 x2) x (3 x I ) x (3 x4) =2r6(niEr() Elfrr5n{dl 1.@Wfir,tiR
(r)fiW.
6,i{f Ktr l+ffJfiffift216 vfrltr;tr" 1 (z)Hfr +hR (3 )eo 105
(4)60 (5)1 3 fiw
5.Htr0!E
(1)O. 2 0)B (2)c (3)D (4)A (s)B (6)B
1 @fr, O% @+trEX (2)GI6:30
21230 @9 (3)3 s (4)240 t.2s 1's (7)D (8)c
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