26春《练习帮》苏教数学5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春苏教版数学五年级下册《教材帮》

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(100 +y) x6 =500 +400
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ffifi
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(z){'Wfr.ffiffiffi
4,frfr.ffiffi&,H.E&E 5 8.4x 12 28.8 6 5 1.3
1
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(3)HBfr.fiWffi frhiAfrWWffi
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7x=63
21.3x 2.3x
r( )YreJ&ffrXK nQ)frfl)ffiffixK ffi, x=2.4 ffi, x=9
1
r*8=0.4
6.8+x=4
x +1.3x =92
M, x=3.2 ffi, x=1.7
ffi:2.3x =92
x =40 5x -1..5 =4.5 l5x +2 =30
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E,L( | ) frBJ&.ffi xil\Wft 40 u\, fr (2) ttIBJ x =1,2 x=4
3 & (r f ) f r r y xK^WE s2 ^" 6x -4.2x =72 (* -4.5) x3 =24
ffi, l.8x =72 ffi, x -4.5 =8
(2) ffi ,&L€E i'EtftW.,t + X
80 3 x4 2 0 +4 + r 4 = x 6 = 8 6 0 8 0 * 4(8 4 0 (8 + 0 r " ) + + r 4 ) = = 6 6 8 8 0 0 +4 2 (l)1.8r =8. x 1 =40 (2)3x - x =2 x 7 = 0 12.5
ffi, ffi,
320 +4x -320 =680 -320 80 +r = 170 x =4.5 2x =270
4x =360 80 +r -80 = 170 -80 x =135
4x +4 =360 +4 x =90 (3)2.5 x4 +x =t9.9 (4)5x -80 =370
x =90 ffi, l0 + x =19.9 ffi, 5x =450
E,LF@tl\Hffr& eo +)K" x =9.9 r =90
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2 tfrtfr*zou4.t#fi2.1<friH1E)Efri+E
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(3)56
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fX"
E,L+Eirn-ff170
5 n+&*Ho^ry w+&*w^w
ffi,frW#?X*T x )\,t IJT+**T t.2* )\, ffitEtlre6$E
l.Zx + x =660 ll (2)L
1 0)14 (3)1.s
*
= 3(X)
(4)Ftutz-14 EM
l.2x=1.2x300=360
E,WFL&*f 300 360/\. 2 O) drFfitdr4rExsFE I
6 (6*6pft-) ^,1+'&*f ')SElD 2 t 0 E 24 + + f 9 if A ri+E
gEft,+*
,rf,tl-
O€) *Etfrd9,)'+?
ffi,fr*ffifiH,4"
3.5x - x =375
x =L50
E,*@fiH lso 4.
,rBl- xzfrd*,).+?
@@
ffi,tk\tfrH *4. I z 3 4 5 6
ffiltx
l.5x - x =96 (2)r l.0s
x =192
E,\ZfiH tez+. ,l#fll!Rb?#, ft ffi &tlzJ'4r fr+J frffi*F,fT" El t uJ'
7 ffi ,1k+&fllf#'ZWX&*E r A*" fifr+J ffi-Hhffi.Lfr , rl'Fl$ ffiffiEWd r+
6+1.8x(r-3)=15 (r)2 (2)r (3)6 "
(4)16
1.8 x (r -3) =9 llffitG) fifEE Ttu,A.B firtb,lafrag +*,ro
x-3=5 tE#^i+ B * * ?- + #t iLE-h 0. s + )f-/ b,*.fr
r =8 iF*E"FIl6l =*& + iLE" l-*,ffr €ftiI{ h t +
A,+&9JrtrZ,WX&*d 8 +X" 0.5 = t6( a\) .
45.-ry
dr#fit.fifr3fiTflE.sr
ttu ,4rtht#r+S+A D fttz y , Ekt-rrt#t +Wft
+zEL,iffiiJllfr
TT+&'6't 8 4*,72 +8 =9( ,i) ,fi-*tt#-/t'TT
-. 1C 2D 3C 4O 5D 4flrx-ro 9"
-.1 (1)Bfl{ +rlrEE 2sfi. (2)e Gffi@o
150
(3)e Et' 30 A lo Ef (4)12 (s)es
2 O ) A,L++t EE ffiWWE.EE+ _Lfr ffJEy.*, ( I )36 ,64,90 ,302,90 ,120 ,330 ,136
(2)2020 2021 75 ,45 ,80,90,85 ,120 ,330
f ( f 3 i ) ( + A r x sB rl p t + rI + ) k + @ R E ff i+ f t f E it rE tr E #) A ttr & A * + f M i* r fr ., i+ tr W ] 8 ( 0 2 , ) 9 8 0 0 ,1 , 2 6 0 , 1 , 0 3 8 3 0 7 5 0 , 6 ,2 1 , 4 ,9 3 , 5 6 , ,8 l 5 . l , E 0 a 0 .
ifiU $fl +sf
fiEEmtr'ltA.M*M*. (3)183 *3 M s67 a7s
(4) (EXAPE- ) A'E{EH Hffi tr B! (4)e6 10s ffiw
tFlL+ffi*Hft,ffr%4 4, *iTE'KX,,I 6,{fHfHH ffi+ 2 (1)c (2)D
[fr.H. 3 zFxf " tr}:;t X<WUIMF s n/ +fr,,,H.t|t lfrizft
3 (1)3 20 6 (2)t2 s ffJffiw,Tt{,r{,f-iB!freDE 5 Ht,fsry" ffi
(3)o hX#tfrE*/+)f- so -24 =26(fi) ,26 Tft s WffiW,FfiUW.ffi.R
5 ft4'r&+xfrl &,;fxt .
4 (t)954 9s0 940 9M 594 590 504
540
J
2 450 490
I
0 (2)40s 94s 90s 49s
4 (1)m" Q)ttr Hdl+ tr+ Q)tr+ (3)40s 4s0 s40 49s 94s (4)s40
(4) ( AIEBIEI) 14++WaE7 20 -7:30 $ llffi t (l)2 #J)E*-,+4nIft2,4 ,6 ,8 ,0; (2)W ft ,
t0 h++ 6JiEiSW+ffi#*,Hiytr7 20 - E-+&aE- s #r tr *-#t *-, + 4i J fr- s, G) grt,
7 :30it to hffi FJA+?EF n lBtrrtB 9 illE&-,r-€ 5 #rE*-#t*.,+&-LE 0 d" 5,-E-
^RW *4n-L#.1 *-{l tv ft 9 th E &;(4 ) Fl bl t- 2,3,5
++&,s.
#,rE*-#.r&-,+4i.Lf,-0 E-&4a-L#t *.#tfo ft3
BEE6 ,
#1/&-*-"
:ffiBtrro{'.il
- +fr*#r E f^ryB!fl E 3 WmW,E{ll B!ffi x
1 o)l*w l#w. tr& 494936 IABfE 2 tE s fr\1ffiW, lElEt'E 2,3 fril s trJHWffJ
36
(2)48 2 24 3 16 4 12 6 8 1,2,3,4, frzjt={i&E 120" 120 +3 =40 40 -l =39
+l
6 ,8 ,12,16 ,24,48 I 4g (3)20 (4)8,16, 4O j1+ =4 = 1 {i&&zJ'E
24,32,40 *,49 5, 120, ft Et'B = +)+*W A
2t 60 11 *wfifrilB3g ,40,41"
28
:.Flfl
3 (1)D (2)^ (3)B Efi. 6fi-5'}fi4EElff
4 7 x8 =s6(ffi) (l)2,12,210 | ,g ,15 ,43 ,gl 2,43 g ,12 ,15 ,
*,t
E ifr+#ffi @ffi H + f! E Wt fraffiae. + H.+ 91,210
gW.ffirhxFlffi*"
(2)1 ,5 ,7 ,35 5 ,7 1 ,2,3 ,6 ,g ,lg ,27 ,54 2,3
(3)
O)ffiW ffiW, HW, ffiW, Q)ffiW ffiW 20
e664ffiwe6&ffiw ,/\
2x ( l0
)
ln+ffiflE 0 H fl\fr a,b(a > b) rlfri{ft, frffi
ffi ,fl!!/ao + b ffi a - b &j}frtlft , klffiW ( 2 )x( s )
2o=(2)x(z )x( s
36 ffJwryH r ,2,3 ,4 ,6 ,g ,l2,lg ,36o )
z I zo """lcfkv\ft& (2)
3 B 6 h fr 7 + 2 Jf fi + W 8 d = 3 e 6 ( , b 72 ) , 1 ,F 08 f , r \ l M rT ,.. T . ++e D,9hfr1+ ( 2 ) I ( ( .l o s ) ) . " . " .. " .. * r+ rk .-r v {6 \f E te ( fr Q ) ) *_rlrL
y.
+72 20=( 2 )x( z ) x ( s
)
llffiz tc*-* 36 #r4&tu8*-,4-l*WEi**W o)c (2)D
'*"
46&
s+s*
rtrfl
3€)@@
45 +9 + 18 +9 =7(&)
x3 22=2xll $,€zJ.EtftKEs ht<. R.,)'fr[ffiffi'l W..
9 =3
36=2x2 x3 x3 7 qe - 1 =45(ffi) 38 -2 =36(W.)
4s ffiza BlE,ta\tr&E e"
4 A E&.{'WffiW.2.
45 +9 =5(ffi) 36 +9 =a(ffi)
B E&/tffi-MWe.
E,R.*d e Afr A.T " lfiN'e Afi A.Irlfll s
c fi&:]..fftffiWt.r +t
22 =3o
, tlfEr.t6,lltffi 4 ffiiHHiH"
IAEfE 2 ffi3 ffil#W.,6" i
E ftffirf$1fiffi4" 51ffi ztu 46 trM.&)h fu 38 ilfr.'fr )rt ih h\ frl + #J
Abt^a a, * x_#-l{irt *,1 | t^, )h )fi ih *) 2 ffi",
F E.-ffW,+EtH!{8ry,8,
46 _t =45(4) ,38 _2 =36(tL) ,n|45 fr&&)h
tfru+wwwwt+ffiF2e3648" r a. .**&
5 36 +2 = 18( AX) 18 =5 + 13 =7 +lL fr" 36 t L ffi. Z fr t 6 x u )h . f rV/ x S . f * rl + + # * t h-t*.f iA
13 x5 =65(iFnh*) tt x7 =77(Yfrtl*) 4 fr , 45 fra 36 6t &. El
*-By E " f* E ILW &&)h tu ih #r && v\ B-4
6 6 5 , < B 7 tt 7 rEzJ<ES E ki K ffi ffi tl friltrI frVF- t3 tl )K,s t -a /(. &. BIr rI tF- il iU, wl & A D " F il r !- t t t r'- 4t1 #J W& )rt
fu)fr)'t)hfi*.A
"
:Grqr
,l*" A{'.trroErJ,A{*.tr
6 zJ'I&xf T,&flWfttaEffiT 77 mlL,Wh77
EI Urlffih@+ffiWffiff-,Ep 77 =7 x tl, mE{& (^ 3 @ 5 @ tr @ 9 @
w+wffi^a?hffiffiw+ffi.wffi#-" lt
@ 13 @ 15 @ t7 @ t9 @
7 60 =2x2x3 x5 =3 x4 x5 lzrl @ 23 @ 25 @ 27 @ 29 @
8,E=fzJ.EEA W+W hfr\ft 3 Y,4 Y fffl
L4,28
5y" L4
lltfi z zt,l' xX A 6'i +*f fta4;€?4. 6t 6 ft &, ( 1 ) 50vx Fr 86t4**t 50v;r fri L2frlrtr&
+ E4&,411+ W #J 4v. R- 60 , T v\ h*v- 60 + ffi fr W
*.,*8tu-^ffi#trbXq t\z+&* ,*&*B* 8163240
E
#Jfr^,BP 2x2 x3 x5 =3 x4 x5,.(rljt:t,J.,EI
h-fiflWa\xlf,--3 Y,4 Y fi" 5 Y
GEffi "
50v\h8fivl2fi^4**-
24 (2)70 (3)24
e6
(r)l ,2,4,9,16 I ,2,3 ,4,6,8,12,24 (t)72 4s 84 240 (2)8 22 32 et ,ff;
I ,2,4,8 a\EN& 8 Eta\trfr w wxw i*ffifffiHtfl
(2)
27#rW#.. 4s#tB#.- 9 4 (1)c (2)^
5 ( EflF)7 3s 24s 24s 2 48 e6 e6 6
t26 756 756 1 65 65
65
(1)+T
27t"45fr1^W*k (2)6x90
+ 18 =30
(1)6 l ls t6 (2)t7 8 18
L3 €!:B E 30.
&z|&
I 4ffis W&.4rzar{fffift20.
(1)c
3 (2)D
(6+^pft-) (r)2 3 (2)4 e (3)3 E,T -tfllfr,tt1|g:L.+Hffij$ptBf tnJE 8 E 20 E "
4 4 so DI6 6 fr 8 HtA,fBWftz4 f,r 48.
(4)s
4 24 +t =25(t) 48 + I =49(f )
)frilK 60 trX B!,&ffi . Elt 60 E 3oo fr\ 240 W s,)*Edhp fraa 2s +&4e +.
AEI &,s0 T E, Ffr U)frjAKE 60 tr)Kfr+l tunt. frY
EiFffiiffi"
45 =3 x3 x5 18 =3 x3 x2 -,1 42 1,2,3,6,7 ,L4,21,42 2,3,7 6,14,21,42
FlU4s fil 18 H!&ltAtrryE3 x3 =eo 24 0 3Zg 4l rnn m n 518 6 90
47.-EEfi|
,J.gils.rrF&Tflfl.sJ
62%2 7u 2s 87 n 9s4 4 0)(hE6pE-)
2c 3B 4c 5D
=.1D
--,1@ @ @
@
27 =3 x3 x3 39 =3 x13 40 =2 x2 x2 x5 t,trs+{i' r" W VJ I+WE6 E, tE IE r}ryxf & H0
81 =3 x3 x3 x3
VJWWE&AH.
2 tt fri s H!fr/qe\tr WE 1, EzJ'A\ffi&E s5, (2\ l 3 r 3
7
26 fiE3e H!&tAEfiE 13,EzlrArffiWB78. 482 4 8
t,zN
13 f[ el Ht&/tAE&ft 13 ,frzJrzarm&Fel
" 1
8
(t)D.z^fr?ffiE(v)
\,r,,,' (2) (AEBPFI)1 Urffi 2Wffr+*.^W;F--.tr-
ffi*,FfiuEnwln-re-ffi*.
6 (1)
ffi-iis
b-A.n<nr+
ffi=l*
E. 1 aOS +2 =1521:S)......1(4) E+#.vv+
(+)......2(4)
305 +3 = 101 (2) -
305 +5 =61(f) Gffi ,)tr-5H*H9Xf;
8,fiffi 5 4# HOtsE€ EI E*r+E j*eE:E
Affi#ft,ffi*6t fix#B!€, D # -l 6. @+rc4s1s sstl+ ite
+
2 37 - 1 =36(f) 36ffi4s ffiEte\EfrEe.
@*#
E,lqtr1&.* + fr tl h T e +€TE
"
3 e fr 6 B!&lJrAr,fB&E 18" ,"r45 6 56025
t"loo 60
72+18 +t =5(#) 24 1oo 1000 7 t2
E,E 5 #ff6ffi88#**." @+ # *
+n=fi
(r)16
97
xll
2134 =2 x97 e, E El#r+ fi +lffi-ry+ ft+ E ffi13.
E ,W *lt*T e7 ,l ,#1+T ffi 2 E .
jlffi ='l*-,A,ktu+W#t *F.ft2134 , f..fiR- ( 2 ) + E #4$B!ffi ffi&EE ffiWWE:#J?; "
&,t
fr, vt *.fu, ztz+ +ffi fr B *., fr iL& fr e 0)-.€-rntffiE*DAfit
&f ,w + N + + W ++ 48, qf + N + i *.++ /tE,
3 +4 =i,u*'
N,fr4+*4&,#J.*)k"
6@e6
E,tr@l]ttffi.? uu.
:GEf
rrilEJHx
(2)'.€.fintffi fi fJlffi ,H. tr E ffi ILh Z ILt
1+ it
+ ?'* r++=f,
2 (r)whz= 1 3 @+ + 3 + E, tr @Yltffi# rldS,H.EE HE+.
4
(3)Htfrfrfr. 5 ffiaerq 2 (3 ) ( 6*6W--) W+ts-il ffi (r ) ffiE*E 3 kg
*= 3 (1)D (2)c +fr h fil, 4 01,*Elh 84,)' + fr, ; ffi (2) ffi E +E
48&
i.Eff*1,:'l**$f. '4
+{i" 1" +fr+ffi4 lh ,*Elh #+,fi" t" wlLh ffzJrf 1 r , |
z)L. (1)+ (2)+
+
4 www,w#ffi+whh8 $"
\ f6E
5+(7 +l) =;(X) 6 EI Ug,fr3 B!{H /t:#.,+frtJh +,?,+.
\ 7 &/tH!ffi,fnffiw.fte7.
E,-eltt*rffiK;X"
(97 +l) +2 =49 49 -l =48
Jiffi , #*J ffi rlr*fi 7 )kE, lv.fi ff * #t h\ lt"-t 6,ir+EAWft#"
8 4t " fi fi k*- + | = l$lrl#Jl}#'-"
GI$I
30+(1 +2+3) =5(2fl) f)ffi5drfr#JEIL
n*+:5xl-5(M) s*30=* Atr2o 45 5
roo
8
H4+ z5 x2 =10(M) ro *30 =13 0.2 0.45 0.625
(1)#
2 #fu ffirErlo#)
ffi47,5 x3 = 15(M) 15 +30 =$ ,.*2q
(2)0.037 1.125 0.55 2.2 0.429 1.111
-
E, ffiffiEu4-+Wrlfrl E*7,H. fi *,
H!
10 15 s o.2s H o.1s #-t 40 # zso z.s
30'30'
tati^ tkBru*,is1 ffi4*1,2 6fi$.f.3 trfr 4 0.36|.)r1;b >0.018 t'
*
9r7' fr +F - n, N+- an.#t *+ ffi *-, !* E n
+6n,(.tr*tA v ^ \& Lf 2 r g .4-+ #t ffi*., i- * fr 4 )' 9t, &. s , +=1.87s 1.87s >1.8s
fr t-4ffi&4+ ffi?-*+ #t ffie-, &E frl 14+ ffi?-*+ 6: *166E BtW*
zJr
* A #t ff f ie f r# i t v\ r{+ #r i*ffi&sY T . 6 L-o't* "
Hr)trro{Hr}tr
AAA
o@ 40 ,I =:3r.I:0.667 sJ
1+
+ \-----f-J 0.55 <0. s83 <0. 667, Bp 0. ss H,l .hfr <40 ,1,
7 7-32
6 K,,[
2(1) Etr I:J EE.EE H HT E-I I{ & ffi , Y^IAH H! Ef I{ E
2
2 DJ EIJ.EM ffi iEE E,R, NXA H! JTE E{E "
0 1 L53.Zr 7 2t7 7 (Epr;w-)ffi,#,ffi"
4 2 8 48 48
- l a - l a : 3 -: -. 5 -:- 7 Z ,_ lrf EA $u\N, 1 i l lztt",l'*-,t-0. Y,*E * E
2'4'4'g'g ' 33 ,
+.+,* t+Er+r 0.25 G fu 0.3 m 3 <-I4f { f t,1 i ,*-,*4V,1\tt&:dttv\-( .
13
@+=, *=r* f=t 6 ^ -6 1 o=c OG
*=o* Mw ffinw
(3)rffi,+ f I )4
Tm,r 2Q#,'*#'#
5
(L)=Xthzw + 2s Q)r e
18 ,.,r4 n_z 8_1 35_5
,.,w
- 5 3
30 24- 42- 6
4 (1)6xt. *o.1,ffitr 1 +tr/R,Hfi E*8" 3 ( 1)9 16 3 20 30 o.1s
(2)xf" [WrlWX+4+T 1,8[6zJrT r;Htl (z)TXflltHXPt 3 ,f* +tltejHxH! s'f#
49,*EIIE
drsit# . rrF&Tflfi . sJ
64 +s+ =ff
rorfr*f
,#,l,rnuA
isemasrHffi"
+
(s )e
o i**, ***, t**frHa', r.rrrrl 6EH E - E .- z . rr 3 : b t- tf r,x l;V**- Et* #t H ifl, "
3a
(l),
+,fitzi" AD AD ,
3 5 3 Q)L 15
t2 10 2 aa
ogtzr42
36 24
28
(t) (220 -86) +220 =ff1 6663 2 8887 2
" " - 6665- 6665 ' 8889 -8889
6'Affiffi&( E : ) ffi Effi e lhl fi 4ffiffi61 E : ) Bhu; ) B > ) 6663 8887
rfur,Ffiutffi.ffi"
ffiffi"
+frLNflDilII#
(2)220+ (e0 + rso +22D =$
@
-.{ 6
8,&tuM,#.( E : ) ffi eE fi H[fiffimAFJ H!#" 1X
@
(3)s+6pE-,ffio
:*
irfftfffr|frE;" (1)s 3 (2)s I
3+ 4+ 2
llffi t lkffi" i+ le L 3, h\&lE..E- t" t +€, )fr 'S 2t0 14 20 0.4 + B
&#t++,h\**aE 3 ,ILW" I ,h\*4i 1135
u4nt2
^+tH"* h_
ft|I" rt fu ,3 + I ft^+-th - +, tt fu h\* ft- 8,
8s 9
36
b+ft8 -3 = s" EIILjt.^&1Ha.*tef," =.{ B 2C 3s4C5s60
ffit -l 24 3 I 30 2
iEr)ror)tr09*drbLfi - = " 1 . 8 2 - 0 g _ - 10 _ 'g 16-2-'2 15-l-' ^
42 6 -t
3_ 5-_- 5 - - '5I _
2 0.444 2.4 7 ^t230
(u (2)_
_ - G) - 8 20
(4) t2 (3) (12) l
8
1 >1.75
^3 9 5 l0 9 5
t2612 $.r$,rnut+.+"
E.
735636 35 36 --...7 <F6" 1 zt I
630530 ?
39<*,DTu)e 52
4 5
1122721 22 2t --.,.t1
7
0
24 48 16 48 48> 48'Dtu24> 16" 2 (EX^W-)
3 (1)c (2)D
4 6'i&&:Er|,UE#[8ffi" 1
*, f 2
fr EBIAHH ffJz. E T H ffi h&tr,J h E $J I
1
Ezl'/a\ffi & tF h rl E, iE r| rt ffi tL, & fff &, 3 6
(ii,EAPE-, ^
ABBPEI)
5 (}E7FE-)
=f =t
no +ruo Lao +280 6, Htiltja W ffr KIErz\ ftffi Bttri4K HW +,
*"
50&
ffift.',gggfi
23+e=t Q+r) x2=6 z=6=* ( 1 ) E tEl)Lffi{ttAE fBl -+ffi * Ht ff IEl
@L-|=|tmr
E,= frMWH\EfrRE= hVLfrtr'Wt" = ffi
+
+=|<nr)
MLtu\fr+RftYTtwilMffiflH!+.
g ;brt- f , |,ee frJ'4+L',Ffiutrtrft4+'R" E,+fiAWrffiffif|4'nf .
6rllgtll
trE -*=* i-r=n T-n=n n'n
t*fr.frllff,.r
13 6:rlLBfEtH+,fiiE-4"
=;
trtrfrP1f6,, -
o (._r)-2t
1
6
f;,{,rnutrtrfr{+,tr.
4 57 +(t +2+ 1) =14(rE)"""1(E) (2) ( A4BpaI ) zj'6tr7 t**,i6m]frF*t+
fr@*lW,l4xl+1=1s(H)
ffi ,-Hiffizjr, &,B,iEnn r |mZ<" 4'fr.x8 r +
ffi@*)ffi,t4 x2 =28(fr)
rs +28 =* ffi , EtrH+ffi zlc Ho -#, at f,m*, tffi sE+ it
E,fiEuffiB!&88tr6 #Wfr+J#. Ht-+, E[+ffigdRit. H ILEI ',t*;4'*,-)\WT
€tre6
+.+ =?r*rrt+it,|ffizl<"
:SJIH
BrlBr)fr09t0,. ffiE
:C.'Ifl
.M-
ffi.m=m
(1)B
1 (2)B
M_ll_l t
?_1_ 6 5 ll 2(,u8ffi)+ +
53 15 t5 $
ffi8ff15i
ffi&= 3 s-1*? &r:5 -+.?
))
.2
3l 615 =5-1......(x) 2
=4-*-
48 8-8=8 55
=4"""(
)
iEr}.|e*EE
=+!
2D 5
3 (1), -?=? @++x=L EH)IRff ffi , H4,.,(j6,H MiA AEI*E WIR|I H. .
(l)rt
')) 31 4 +
ffi:x =; -; ffi|x=,_ +=|rmr
6
*=Gt6 ,=T4 6,trFJT+rd"
.^.5 (2)t -+-+=+
(J) -r=lo3 (4)x ++ =+
g
53
ffi*= -lo ffizx=+
g +
5 Etr{uT'
*4013 *=G3
t=-
Fns+H!tt.^X?
**n!?+f hh
4 +-+=?=+
\---------J
6,ffiffifits *Kn%tumflffi+.
trtao+4t t,"l EH#r'+
"*
51EEl:.
{h#il#,,fis&Tflfi.sJ
713 24 31
o?.+=h
8'3 B- ro-T
-l-I- 4
2t 8 48 15
6, HfoIffiBfi 3s tlffi *tlft tffi ffi fr " -- 2 4' + ,2 - 4', + 2 -1 4 8 50 50 5 1 0 0
(2)1-fr=1ol 47 23
24 50
6,&tr 10 tlffi+TTAHB!#" E.
,it.-)1 93-3i=; 1
6 , *-;=m
!r*t-t x- ,-lo 9 = 1 I 0 2 I 3 2 *1}ea.&ffitum, lt)Erl,Bi.tH ( xu H AE
5-m=m EPtrI)
(,li*i=*,
TIuJ* ' 2 9 13 13 3 r. 1
m-l=10
'*m=ro
E, #=# *W + *. fr #X,H. l\ry HE# 6, i* 7 ffi +ffi = 4 fl Bl/\ W* fr +rfr^fi HilS
" "
lltfr: tuE4ffifl€'
@+*l*+=i3
'#.,
x-, :-*xfi E? *1+*.#1Er-+=+
8, e,t E + WH #F*frnt*fl i6 A, B it *lnffi #
ffianl,l.&fi +wU#:fr+r#.
*.'+X#r A=.
*L-r 9 I =+CtrtSt09 2 0()2 tff)i fofief+i H Effie+ fi aKfr<1 JL+ZL
l0 +
10
iitj+-*A-'-=:-:+{i
:iti-*-*tetl
'@* 'a'b- -- igfltf ifltf ffi ?
.j-ifl __;-igfl tf-_;
'@s ! c I h e - - i i x g = f - t * f x - r t j : - _ if ' * F r:- f ; l + tf ia i :*--*-x*r, @ -(+.*,=*
;-ii-ry---"+.j-
rx:. ifr::--z+*! i?;i,ti 3 0+-+=*
E.n$: iflgft = f_ -* . * ;. : i fl Ffltt ;=ilgf,;ri I
E,T&W&EAEB!*.
r.ry-?Y--__;
;:;+-i .
i-;.-. .__... ..... t,ft,1
i*24*.fr i_i *6t56tr>++ | ifi--, -. :f @?.+=#
:-J-6--tJ--r->-+-- -i -l Xr>.:++Xo rrE6tr ; i- i*#1 - 8 -- # -- 1 t - + -- -i i
i 6, j* Et{t4L +i)tl%W*,ffJE ffiWW.
+7cLnfliilllS ilffi : (t ) + N al +re {'t + *. ftT *-, Frr
^*+e#r
3#
t**w -*e$ *
v\T E +- + = fi; {z)r,.€,k
4 O)H=*H*,H.ryBO'LbZIL (2) 6ffilT,H
*
5+ 6+ L,#ft 'r ++za ! n E & R N,4)ts,{, * E *
WfrlilWZL
=. 1C 2C 3C 4s 5B rtt *,*.i rtth ft 7 +te#.r +, nF a - *h 4i't +
3
-"4 t9 5 5 g t6 +e#.r? *I =#,, ,#,l,rr,,ru,,xqt e,ra*.
t4 3
* 11
7 t=- xT *tun\'*r&l*"
15
3 11 .3 1.
*.+.+.+
- 1 _I- 2 _-l '4 12/
=( . 6 5 *U 1. ) +( ,2 T *T 4 ) , 11 3 1 =Gm ts89n[H
12 4 '12
*f 11 L 1 ( 1) E Q)o ,fnE OD(il,0A,OB) /tzJt
=r -- t + 2 -_ ' - t2 3 (3)4
4 8
4+ I 2 (^li7tJfr)3.6 3 6 0.25 4
4 7 3
e€
52&
p6g, ,*iUS!E
,,
( I ) AE @gI+E F,H44KF+'44Kfr+J 2 ffi 5 (W+&ffiffiH!##ffrffEtrI&)
(2) AXI, RH EIEI E 4+ Eil tr, +fA,H. bY,H'&
M." arElffJtr+-AXAT*tr,lnK z ry6
W+'ilffit?W 1 FtrHtHAaK.
3 (1)
@ ffiI
tsoeEl<
(l)EK Q)3 EE+ r 3.t4
J (3)rrd 21
2nr
(2)oofiE
o 2 (1)D (2)D (3)B
8 3 frA 7.85 +3.14=2.s(tr)K) ,2.5 <2.6,F10)ft8
7
nfifr
6
5 3.14 x0.3 x2x5 +0.3 x2 =70.02(X)
4 E!,ffiffiZ|4H!trHE 10.02 )Ic"
2 3 fEfr : &j#<tu'I atff. W, +a y t 5 4. E fr /.t*r #r Fl
I fneffr*+trL#tf .
0 t 2 3 4 5 6 7 8 9 10ltr2t3t4 ( 1)AC
(3) (2)0.7 x3. t4 x 100 x 10 = 2198 ( )K )
E, I\tl,ffiXgJ+&)tr 21e8 X
"
*'&=( 1.5 ) cm, (r)3.t4 x(t20 -10) = ^1 3 45.41-;
H&-=( 3 ) cmo E,tr*frtrllflKE 345.4 m.
(2),H c(v)
jGffil
aasmn
4 &i^hffi-ff 3 i} cm frEa\+" BH rET ,ffi-ffih 1 ( 0 1) ) - c + +'4A ,tr' (2)37 .68 rL3.o4
2 (2)c
r
f + r , , # H * , w l r[ & . - l , g fi , 5 tr H fi 4 + rht 6 H! , f IE i, J + jg E E E H V l E F l f r + H ,i E *, t W r, 3 3 E . , 1 F 4 f x fi l . 2 f 2 fi f = rt 4 f 5 rF 2. - 1 6 4 ( s d 2 m . ' l ? 6 ) dm2o
ffi =ffi irtEEfr -+ El, E }.{IH-,H,stJ tr,1' 4 47 .1 x2 +3.14 +2 = 15 ( m)
Et 3.14 xl52 +2 =353.25(m2)
H![EH#[fE+, {'Efits-BJ H tfi fr!trHA[EfE 6' itfBE ktffiflE 353.25 m2 .
Uffii hH=ffir'frEa\+.
+frrJ " Ffr 5 5 tr)K=o.05 r( 0.75 +0.05 =0.8(X)
frl*-
10 -6 =4(cm) 8 +4 = 12(cm) 3.t4 x (0.8 +2)'z =0.5024(+,X)
.}W-
8 -6 =2(cm) l0 +2=12(cm)
3. 14 x0. 8 =2.512(Xx) 2.8 >2.512
"ffiEB6ilra 6,ttftffiHlEfxE o.so24 +ir(. 2.8 *K
(1)B (2)tt fr\ffihww"
1
2 (1)E,L'fr Q)+',& (3)tr,1'ffi +44. 6 18.84 +3.14 =6(trX)
3 (1)120" 270" 135o t44o (2)5 360 3.14 x62 = 113.04(+nE./r.)
+}.trr(
(3)4s
,
1 €:
l ltf
,
i
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: l
B
k
t
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t"
l<E_ EI,EJ & 6t
4 360' + 3 =I20" -++ * @ 6i + tra, *fil.EJ Etr rt 6 4y.z*i. Bf rt
8,fr ffifr,++I fr tr fflE,1.fr E 120'. *M"
53,*ErtB
, ,In5fi* I n'+frTff 'sJ
;c$f;lffi
=. 1 EK 23.14x20=62.8(cm)
(1)4.8 r}.E EfRt3. 14 x (20 +2)2 =3147" 21
Fr@
(2) o.s (^3E)2 .5 (4)23s.s 20 x20 -314 =86(cm'z)
Q)a x2 x4 -3. 14 x42 +2 =6.88( cm2 ) 2 HKIZ. 14 xB +2 +14 +5 +5 =36. 56(d-)
Eilfl:(8 +14) x (8 +2) +2-3.14 x (8 +2)2 +
(2)12 +2 =6(dm) 6 +2 =3(dm) *''r%
3.14 x62 +2 -3.14 x32 =28.26(dm2) 2 =18.88(dm'?)
( 1 )3. 14 x (72 +2)2 +72 xrD =rr2ff.4(+l*)
6, ilf:a&l thff1 fr tufrffiB tt26e . M +fi x
(2)3 . 14 x72 + lN x2 = 426.08 ( X ) " \ \ -- r l =lcm /
426.08 x3 =1278.24(*) 2'oow@
tt"
8,4.L'ffi1278.24
4 0)ffiffiffJ+'44J8.84 +3. t4 +2 =3()f)
fiM4'Wfrttffiffi,.3.14 x (3 + 2)' -3.14 x32 =
s0.24(+frx)
E,t*R tl'WB0 mfAE s0. 24 +fr )f., fr., 1 2 x3.14 m x33 =?,07.?tl (cm) 2A7.2,1 cm:2 m
(2)s0. 24 xI5 =7s3.6(+fr) 1 km = 1000 1000 +2 =500( El)
E,tsffi H'fr+ff)*,+W I Hir%JdlUfr.2
E,ffi)** {'Ef-*ffi E 7Kfr 7 53. 6 +fr . ^o
1 m=10 dm 10+2=5(dm) 5 +2=7(dm) 4'W )*XW€BJ +&, Bm H ft + fr+Jfr,+ )E ?AJ#
r
3. 14 x (7' - 5' ) +2 =17 . ffi(dm2 ) 500 E"
E.MflFE /rEBtEifrRE 37. 68 dm2 2 1.57 x2 x2 x2 =12.56( cm)
" []
0) XEfr M ff:jLK S tlE fi +reffi S, zJ' 12.56 +3.14 =4(cm)
MWLK5frmffi+A+H+. 3.14 x (4 +2)2 --12.56(cm'z)
( 2 ) j.tsrl.E+'i|h R, fr@*'&h, Er@MffihfrtJH?|fl4 cm,ffi,ffip t2.56 cm2 o
frfirfrlJfrffi,= (R'- r') xn " 3 7F-H/t.
FEWHBilffJffiffi = R' -,' 3.14 x (30 +2)2 =706. s( Y}E./r')
(+lEjf.)
6o x3. 14 = 188. +(*ttre.*-) 3. t4 x (15 +2)2 x2 =353. 25
E,frM*FhH0EfrRE 188. 4 +iE)K 706. s > 353. 2s,& 2 + 6 4t'Ht bl,ffiffi t + t2
"
+-lHOT-Ht.
t'
-,1 fiW. *+ | T E 2 Ln 4 flD i, s ll 0.24 340r.92 f :t E 4, , t fl F : A * f , i X & + E t l , 6 W t E # r & + 2 4 4 ^ " 2 + f u f + A ^*. + E n # t t s H f i l < + ,
42 + 5 2t.98 6 90 10.71 7 12.56 .fc€ffi zF,l^. , E J l . f i1 fr f.).fu ,1. f ja^ii. E 6t ft f.
"
4
t2.s6 7.44 8 g.qz Is.7 jlfi?: ts #r@tr, 8
E,f-
+ t f n fr #t fr #,, Ffr v\ fA il +F'+. #t fr #, R-@ fr 7
6
#,tr;?. totk#r=C +n+2 i-*@#t*442
5
12.56 +3. 14 + 2 --2(f,'X) . #19# S = rrr' & * 4
3
s6(+i
@frfrf.:3.14 x22 =12. EJF) " &E +- 2
i i
il, vAil*F #t fr *v.zt2. so x f; = e. 42 ( + E 1 012345678
*) " Xi fr #J fr f. = @ #t Y'tA x )t<i fr6t l( = (r) (2,3) 2 (2)18.84 14.84
t
2 x &n fr fi # = 12. 56 ( + fuf-), Ffi v\ l<n fr
6t& = 12.56 +2 =6.28(E)f-) " fAFl+Fh\#J H llffiz"&t" #Jfrf,= 44Ah 2 E,JF-V.t+@*lfr
k .l = 6t,Ek+2xl<ifr#tl<= .. ;* I I
4 El F, + 444lt 4 E,,rr-#r;@#l frtu - in-* h 2 E*-
-.1 12 D .56 +2 2 x c 6 .2 3 8 A =1 5. 4 7 C (E )Y 5 ) C . 6A {tfrifi#tfr#. - +?z.h 2 E*att+@#rfrf.,
@"
54ffill**
ffi;;':'':$
;'':::
ffirkEltillli+
31
49 3 3
42 -.1 316 1^4T 4 , 3 336 t6
s
111
2 4 8t6 1 45 t.12s 4 =5 3 36=3x
r28
3 (1)s6 (2) 37 20t 3x2x2 6 + 8 + T +1 10
$ (1)a-8 6+8 (2)4a+2 4a+ll 9 t
b
l+4x4
10 0)+'44 41 1s (2)3
4 0.625 x24 +6.25 x7.5 +62.5 x0.01
1 f
=6.25 x2.4 +6.25 x7.5 +6.25 x0. 1 11 E llffi :tE.lrtu€,-BL fl 4-/\*-&^Bt6-i
=6.25x(2.4+7.5+0.1)
? /-,x Lfr /\,fr|A-
=6.25 xlO ;,flFr^Tv\l?ik&fLfr 5 3
=62.5 ty.,t*t)A,* 3 ,t, & * fr + &+
0.9 +0.99 +0.999 +0.9999 +0.99999 ^pr*4./(.&..
=(1 -0.1) +(1 -0.01) +(1 -0.001) +(1 - :Kf
il.&,W*tfie-rLf *Lx*-*aF1,flF
X
0.0001) +(1 -0.00001) 2 =fL* 4-tvi: I,t* 4.,W*t ft 5 /\. fl n hs
=5 - (0.1 +0.01 +0.001 +0.0001 +0.00001) *+ * +4,(.,t*t, +l+* A,€-,t*th vx : K d.
=5 -0.11111
/-&.,sYTffiru.
=4. 88889
6 x6 +2 = 18(cm2) 12 Ze 36=15 +21
-.1C 2O 3A 4C B 6e
2 x4 x4 +2 =16(cm2) 5
6 3 fi 2 ' i - t 2 - 0 +4 1 6 = x t I 1 2 0 ( - + 1 i 6 - ) x K 2 ) -10 x2 +2 x2 =160 - - = \r rl 4 I ' 2 I 6 I 2 2 3 0 5 6 3 6 J 3 4 3
2 ,.-+=+
3x+t.5=18
6, Hffi#rlHoEirRE 1t2 +fi *.. ffi23x = 27
jl&f r,tsr&- n Xifr+rb,#! fr tilts"*fi *,1, ffi:2x =l *=9
r
w#t fr#. ,*he Lfi*4,w€. &4f h\*1frbv." *=T
,g.r&: 4+friL#t fr +*rtfr rtt L+4r ,fr41)fi +
+efi kifi(l<l,vF *,H.)- t z X) +{+T 6 0.8r + 0.6x=21 2.2x - 0.3 x5= 9.5
,
#t Yi fr frr -L+ 4,, N$ nrl - t X* n fr ( tr -&-l,u, ffi:|.4x = 2l ffi22'2x - l' 5 = 9' 5
R*til",r-f 2 )K),*of EI" ++lU+f x= 15 2.2x= ll
:dL*+4N,k"I*-&( t6 -2) ,K.fi( t0 -2) ^*##rtruf4-vn, x= 5
3 \-,L l. L3 5
tU#tfr#," g '6 -2/ lo l2 7
12
11 13 .5 7,
-8 4 -lo-\1l- 2-1t 2)I
3
l0x
1
-1130-'I
24
7 (1) (6 +15) x I0 +2 =105(i) 3
E,)*+ffi%*t-*a yffi%" 10
rcs 5415 3213
T*t*T*'
Q)a2 +43 +44 +45 +46 +47 +48 +49 +50 +51 4 5'I-4 '5I-
= (42 +51) x 10 +2
=
,
(
5
f+ 7
1
)
.
+ (
.
5
4
+ ,
5 .)
=
,
(
3
i +V
1.
)*
,3
(; -;2)
=465
(1)684s(2)24681012
8
hffi t#-&at +€,2 + 4 + 6 + 8 = 20( +), Jf 20 =1 *, =t +J 5
+&+,44i s +,* 4 4i,tE i;i.(4 x s) t;# 4+
=l+
i{,rl4+(6 x7) t = (2 +4 +6 +8 + 10 + 12) f" 5
"*
55ry'
,Jrsfi#'fi+frTffi'sJ
4 0)12 +2 =$(sn.) 6 -2 =4(cm) l.6x - x =36
3.14 x6 x6 -3.14 x4 x4 =62.8(cri) x =60
(2) n x (3 +2)'? +2 + rr x (4 +2)2 +2 +3 x4 +2 - l.6x = 1.6 x60 =96
zrx(5 +2)2 +2=f,n+zn*e -f;r=6(m') E,T-+&fiH+rJ60 m,/\--+effiN 96 m"
2 ,ln
zq
hffi : e).h e*f ,;#r fr ff, =,J, @ fr if,#t - 4 + 3lLs t2
+@tu4xfr1-4 + Lfiafifr#tfrF. - iiEtr6 54
2x3=6
tv,fr1J-+
"
8, 1 L 6, igiq+Effi +&.*bhr 6 x4jFE, @aAJFE
hfllT s +&4ffi.4 +r^ffi"
3 ( 1 )3. 14 x40 = 125.6(m)
+5:25(&)
125.6
e0 27.14 319.44 S,tsfE&ffJHffiXrA l rll*i 2s ffifif "
E.*&- (1)+ + + 0.1 I (2)3. 14 x (40 +2)2 =1256(m2)
o. o. I
jit&&Ht$ffimfrRt
111 6, 1256 m2
"
12 t2 t2 (3 )40 +2 =291^;, 4 +2 =2(m)
(2) itH^Mwrr rfr r6H Et', fE lEl fri &fi gxf f , rr. 3. 14 x (202 -22 ) = D43. 44(m'z )
l*,liHfr ,ryp-{nt ffi ffi tE in ffi f , Hi r4 Efr -{ii& 4 6 0 , ) e , .& r B lzjcEmfRE 1243. 44 m2,
E[-fit e
-; fr+JWTW'ffi,, Hir,.Bfr-'fi " {H- E
(2)Filr
+", fi Alit. ffJWAftr-EBfEffi " ilH 4'W.
lil .trfi E, trfEzl'&,fi xf tr, F&,qH#&nn ffi H! s E&ffiffiftTAEPl ,+ -+ =# . rEr,fr&
H,W friJ frafr 'rt H ; H h E )t Wffi hnW.,, il & T N.,
R+E l +ffirr d ; FilE h&nffiflW,, ft)Etl, +L frSzlcEllHt EFHE+ffiW#"
lXFlhE h&Firffi , E lll ffritH,t-+* 6!+ lE Z zlcE |l H0{nE Eff o, xq I HtinEE;, F il
N, Rd lt W+ & fE FJ ffr Wt AAfiT:. lnB,* H .
(ffi$nr*npfi-)
B!{iHE 1 - + = f; ,WWWW,fiEE 1
*&- "
( I ){68+4tllL#++ftAfHFlH!4'
n#-*
ffiM,trT I)^TEEl.-tf.f iM )T.iiD)fuE IF = ffiM, fl$ /ATE Ef,r,fflEEri re.n#,EExq = #,*
KI
E,fII #,Tffi K -t[ {U B! K IM, fr M FJ'I# . F,xfr-?=#,*trtr& , -X =*.
MffiKtEYT ( trEKH!-*),'., fffEET( +
'6),, B h KtVfiffitr, = K x ffi , ffi D)E Ht ffi h . * .#.#,Ep r+{,&HF ilr E jE.
ffi=nrXT=Ifr2,
5 (1)irEl:
t*
(2) EKfiT, ( EEI6ffi-)
E (1) rEiKffi. +E-E{0Hl'*ESFIffilfi+E
_#;A
1111
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=,- 1- 61
H- fr= H=- Hw Hnnr;nE wf Ft
15 (2)4s 4s (3)(e4E[4)fif+m,r,.ffi
t6
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fft < --naa
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tr+rCEE l]ifiVttL$EiR, lF,H,ffi.fi Efld,F+ *Y#*HW, Et'AiJX
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ililm
fi
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.,
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el
+ tr
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#
t"
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E#EE EIBffiEiTM, +ffi+Ifi,E.E&
Aiiilt€r7lz'{f , PE+IEffi ffir1-E mmfrffi €!lm+,Ei#5'*, llEEEliE
;8ffi d\+{fI6;,(tEE, 1 +]'N441)t )\r+l'n Bffi +fl+tsatv1y., xKEEt^
'B*
8s*=r b€UF{FEIF' Mek?F.IFcA{;fre mr)*E h +7r11fi , E,E'(ffi fi ,EJt)