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26春《练习帮》北师数学4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_4下教材帮数学北师版26春

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《26春《练习帮》北师数学4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_4下教材帮数学北师版26春》第1页预览
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(3)h n G)fr +fr, 'Dk
7 o.t H{68 7 h,ft42 tl"
o.e Q o.to
t'/-''l\' o I r r ' , ' r r r '.l at .'t o' , ' , r r r I t
o.gsl 2
r.roQo.es
*"
56ttst &
l!sj*
2 60.3 +60.3 =120.6(+H)
3 (1)B (2)c
4 (l)et.e4 (2)2t.04 E* : fr. *#.t Xih Er lfr #t fr & fr" - *lI A fti *,s 5
(r)7
5 6
*fr#t fr&tu = -+*,&6tlfi8.
(2)7
4 ffit
wHH
( A4 EP I,-I ) ffi & tt# tr EtrH E{ l4 ffi N., fr,ffi.M
*t.ffi fr m+ rn ffir'i H E LY, 2s. 83 ff K, bY, 3.7 +2.36 =6.06 15.4 +2.97 =18.37
=
26. 3of) ffi , W Mffi = 4 lE + B! FIffi fr 'R trI BE E 3.7 15.4
2s. 84 fr),&trtrIaEE 26. 2e fr) + 2r.36 + 4.97
"
38.4 >8.57 >8.42>7.12 6.06 18.37
t&e+&
iiffi:rt 4 +&*Fftd'*.,9"384"
11.65 -7.39 =4.26 16.8 -8.5 =8.3
,)',8&4i& /i, EI tU, " 384" fs ih. L' 4i,l' &,
ir.
16.8
e s
" 957,942,7 12" 4 &-fr 4i,1, *-
ffilx* "
- .39 - 8.5
7
4.26 8.3
(1)7.81 +2.t7 =(9.98)
E @o@@
2
I it-r6lri+fliifE*- (s)
+ 7 z .i . s i t I it i i +to.r)n,L(1)t i 3 10.4 11. 8
-t r r - f 'r f ; i E itr irorl , -*L(e) t i 4 (1)5.05 +14.60 =19.65(i) 19.65 )E<20 fi
i
i f r.r >, L:#i€-(o. " s - ) - "" . '- 'i 5.05 + 15. 18 =20. 23(7:u) 20.23 fr,>20 fi
=;.i,
(z)s.ss -3 4;
20 -19.65 =0.35(n)
*it-f
si6s &TNf ha 6t+rL. 6, HHEE*€iE4f[IR6, 6FJ 0. 3s fr .
--r+inir^ I1li|m
- (2)29.82 + 15. l8 =45(uu)
t2litt_.;t2 I E,***ffiftfiAffiffi#.
(r)c
2 (2)^ 4.t2 +0.29 =4.41(*) 4.4t-0.84 =3.57(X)
3 3.11+2.13 =5.24 26.25 -13.11=t3.14 3. s7 <3.6, iaft,H0fi ffiR+^&)fr .
3. 11 26.25 f ,i6ft.DhT 3.s7 il<,lbfr+JffiffiRrf//.t#"
+2. 13 -13. 11 EUE
6
5.24 L3. t4 +z.ps
4 ( 1) +E 2s. s2 )nlfrtf,26 )t,fr22. 47 ;r.fifrffi,23 4.0 3
ji
tr,,26 +23 =49(7t) " 49 <50 )E llffi z tV,*= Fl i{.lrrAt lax+ , iLfrJ ,Y"* " lLfr
E,tMXWrfrBffi+E ffitLffi s0 )rW"
fi-,Ftrd., +rr\{i}E -2 =3, &',r}t,.€E =
(2)25. 52 + 22. 47 = 47 . 99 OL) t&I
E,#4XS.e E lhffitLffi4*E47.ee fi. 2 +3 =5 ; 2 -A=9,.E Hi,6 &i8,, x+ P
-E
5 14. 50 11. 00 ,f* 1, ArI. 12 =9,E =3o IEI t+fr itrgal 4+
fr:AtrJitt8*"
6 1s0.4 -90.1=60.3(+H)
**
57dr*filf.ErF&Tfff.BSD
ffiI
tr+t* 6c 0.9 7s.43 812.24
1B 2e,38 4s 5c
1s
2 = 1 tO -3.18 =6.82 3.17 +5.93 =9.1
28.6 +0. 28 +1.4 6.7 -0.26 -3.04
=28.6 +1.4 +0.28 =6.7 - (0.26 +3.0a) i o. ,i o 3. 17
+
=30 +0.28 =6.7 -3.3 - 3.18 5,. 9,3
e.1q
= 30.28 =3.4 6 .82
16.8 +0. 42 -3.8 7.65 - (2.56 +2.8)
11.59 -2.6 =8.99 7.5 -6.85 =0.65
= 16.8 -3.8 +0.42 =7.65 -5.36
I l. 59 7 .5 0
=13 +0.42 =2.29
- 2.6 - 6.85
=13.42
8.99 0.65
3
1.72 -0.9 =0.82(X)
+5.96
1.72 +0.8 _ 1.35 1. 17(X) 2.38 +1.57 9 -3.8 -0.62
=
5.96
6,HTBiHtrEo.82 X,ffi+BgHHE 1.17 )fr." = 3. 95 + =5.2 -0.62
4 Z.g +2 +3.05 =7.85(r() 7.85 <13.3 =9.91 =4.58
6,-f H 13.3 XBigffiH€E# i*f,qfi/\ 5.2-(0.26+1.98) tr.3 -2.4+3.7
-2.24
afiE. =5.2 =8.9 +3-7
5 ( 1 ) i*tHfrffiRHgE * HHWXfr *ffiT *,' =2.96 =12.6
X"o E. 1 1.83 -0. t6 -0.34
10.56 - (9.78 +0. s4) =0. 24(*) =t.67 _0.34
E,HH,Wfr#*ffiT 0.24 X<." = 1.33(x)
r.2*<1.33r(
9.78 +0.54 +0.75 6:uIEIlffi*@XllH.
6 ( 1) (2) (3) 84fiT. 2 41.ffi +35.09 -2t+.72=51.97(+*)
6, #fr f, 4 H *tu*ffia\t i* E # i rt tL H it
B++H6rist.e7 +)K"
fi.j*ntl0.
3 2.59 + 16.8 = 19.39(ks)
19.39 kg <20 ks
E,'fr€Wt.ffifr"
E*?+t2"
4 ( 1)800 i( =0. 8 +)K
1.05 + t.2 +0.8 =3.05(+)K)
-. { 0.01 5834 +h 3 0.1 1.8 + 1.72 =3.s2(+*)
2 3o.soe 3.05 +x <3.s2+l<.
=+,f;fi€/L
3 0.061 3.72 4 800 7 .09 3.s2 -3.05 =0.47(+*)
4 8.20,5.2W0,2.670 E,Wa"X- Hffi W, _- Y& __" El fl H A 4 EFE
5tr&+
E )t )ET 0.47 +)K"
w*
58,##st &
ffi*
s{affix
(2) 1 r'f =6011
65 x60 =3900(X) 3900 X 4.9 A*
1 @@ O@@ @@@ @@ @
+* +x
3.e >3.0s 2 O)x (2) x (3) x
E,D'fr 1 EfFEAJAEfiB.
3 B*TpE*.ir,
5 ( 1) 1. 65 +0. 2t =1.86( X)
S'6,EDE.T 1.86 r("
(2)XXULfr+Jbr,rbB,**,)-*?
1.6s-(1.98-0.46)
= 1.65 -1.52
4 A+=frMEI ffiE+ilfr = frM,Hfr = ffiMq,ffi,
=0.13(x)
t
fr = frM,E h lttq = frMaFA,)-H z it fr ;@
E= frMfuffifr =frM, Et tffi fr ffi fr ftffifr ;
GU@t,
-
t2s(&:7ss',zs0) @+= frM ftH.ffi frM, W h ffi fr ffJ fr EH.
fr" (E*AEEII4)
#Eztr :rA,FE?\6t*-4i, rf fu C = 5 4 C =0, f* E l*
5c
# n,E fl,J' 4tH, r.*- 6i i i* al l-* A. B N.^#l
&.+" ^lt llffi : #'i-z ftt fli fr z*;Llq$, .4'J :
Beetr =-frfi ABC t ,BC =AC =AB =36 +24 =60(X) ,
afrfr AED f ,DE =AD =AE =36 *-,
GIEI
afrfr f *.
BEF ,BF =EF =BE =24
1 o@@ ,J.t^L A ,ai- C ,tlrt B,L'j, 60 +60 = 120( zF.).
t- (Y @ ffiwv \ ll nwwfr ,1,4)).A &t-D,E,F 4lit B,.t T 36 +36 +24 +
o@@ 24 =120(*,)
"
=frM WilM
120 = 120, *{,4t1 *-#J W- lill<
2 (r)A (2)B (3)B 6 (.6,*6,pEA-) "
"'A
(6*4pE-)
3
7a
3
Efr ,=frMEAffiE,IS. ffiffi t*trfirfii++( *,f E ) " H,fr z fi fr fr
AABC, AACD. AAFG, AABD, AACC, AABG,*
6 t; 1iL fr z h fr fr nmr. AACF. LADG, *
3^"
ffiw+@M$*6pft-.
(6*6m-)
-*
59ffiB
,ItFfi#.E+&Tflff.BSD
ffit
HHstsfl =frffifrfrffi ( 2 ) m,fiZ'lEl *,W&ffi. = HMItHW)b.7*trVr.
(r)+ l8o (2)HR +H=b.
(3)70
1
(1)A (2)c (3)B 5 + 10 + l0 =25(E*)
2 (4)A
E,$t=frMfr<t@Kft2s Er(.
3 (t)34" (2)28.
4 180o -35'-35o = 110o llffi =* to E )f-#.#J iil- h W, z h fi #t a+ ia.-
#J&^friR-5 8X,10 E)f-,10 E)f-;* 5 E
E,EfrTfrhE 110'.
180'x3 ,K&6t it-hM,5 + 5 = t0(PX) ,6 6b El.dt:
=540"
frfr"
E,NJTtr.MHTFJffif[E 540".
f HKEjtfriJtJ 4 E*-4 EX.4 EXBlzJ'ffirIL)l
fEfr : {vx,lf *l *i N fr &4i h-g{ ( # T El ), r,.
,fi ,ti fi *{ T E fr tl fr fri fi" rr 180' x 3 = 540o. Wfr,#b=frM;HKEhfr\h 4 EX.4 EX.s
trXd 4lB:d<,4 EX,7 trXB0/'ffiEJtl#fi+
M=frM;HKEtlfr\fr 4 nEX.s EX.7 tr)KB!
zJtffiEILlErI--W=frM.
llffizte,\s i*,l.6f i& 3 iB,l.Bfifrrfrred&
,,1+ * *,lglr" z fri fi 4t# fr iL-Zfru *-t ffi 1
Hfr TEffiffiH,trJ I\W=HMW=+frfrITfrIJ iL" +lW hL^ hllx te" a fi fr , *lk# a fi fr #t *+
lEh tt - L2 ffi tz ,*E tt + L2 = t3 " flF/At 4i, *lw l* *, #t i fri frwfr z fr fr
"
Ll+ L2= L3 l ( 1) ( 6*AEEp trJ ) itffitr86'.fr ,Bti*ffi
It3 + t3 =180o+23 =90o
Ll+L2+t3=1ffi)
4 89ffi ,W )L7-.frE,y,' + + ffi =il., T re + = ffi
H - + fr ftHffi ffJ _ frM EH"fr =frM, Tfi D)i* Mil,J=ilXA.
+= ffiflr&hll#ftH.fr = ffiM " (iX EE i'fr 6 (2) ( EE6pE*,Ef;AEEIjE-I)
pE-)
::
GIET ffiHsHfl z =frWfr09*ffi
1 (r)A (2)^ Wfr , = frM lfHW il7--ffi )E T ffi = iA, {+ H Ei
ilZ*.{'Tffi1tb"
2
(trX)
3 +4 =7
=ffirh#Ht HEAH.fi #fr,l+L
7>5
KE(4{t:cm) =frw =frM
2,2,3 +M=frM s -3 =2(E*.)
EE
2,2,5 2<4
2,5,5 ^f'ffri? +w=frM
*rfiEflti=frM"
4,4,4 AE +il=frM ffiT
waffiri*
1 ,5,6 ,1".frb
3
( I )fi81" 1 o@@@ @@@@
(1)c (2)c
2 (3)A
3
,y+E
**
60ilfjm &
4(r)
,',A(EE^,E-)
180o -65o -65o =50o
(1)@ @ (2)o @(*o 6'SmffiBlmfrE 50""
@)
(3)@ ( 1 )e Xfr 7 XB!^FtBEE)SffitRfHAfr " zl?
@
jlffi :T v\ *W#- # " B )tr fi + rt,++afl #t z *"o
fr fi ,iil,fr *r6b#d" - t * 4i w Lfi, Ffr v\@ fu (z)frH e XKH0^ft ,EfrWH+*"ffi" -&.
@,@&O, @ fu @fial-r* fr"* 4t w,ltU " *lk frH 7 XKH!^ft, eEB9B+E" ffi " -rtr,o
#+'J,&8#r +4+4{.+ 4tib*+, ( 1) f E 6+A 4 E;*- Lt = L2 = 1l0o +2 =55o
frt #t * 4tw ;t-fli, (2) f ft*6 E fr #t * 4t w ri- LADC = 180o -55'-30o =95o
fr , (3) f *-fii + E fr *t, fr #r rH+. L3 =180o -95o =85o
97 E;*- Ll = L2 = 110o +2 =55"
LB =180" - 1l0o -30o =40o
H7EEflti,llgf;
L3 =I80" -55o -40o =85o
-. { EAffiE{T NNM 2 KfrM ETM
Et L3 HlEfrE 85""
34 3 4@ 560 30 6so +frfr ffifr i|ffi: Effi- ll*#" LACB =110", Ll = L2"
7@ 2 s s (,tr=A6*6ffi-)
Tk, t-l = L2 = 110o + 2 =55o;*&lE L2 fu
-.1A283C4C5AB6B zA*tE-*.*-* LADC #tE_*-;B;b tt 4 ttOC
=.{ X z\/ 3 x 4 x +*g*E--+ * fr , h *aYq,t * L3 #r E-*-.
tr.1 @@@ @ @@ @o@ @@ Effi- l*#" LACB = 11oo , LA = 3oo" Tvl.Fl
2 EX6vE-,i8, 190" _ 110o _30o =40o , tc,t-* tB #l E_*,;#l*
( 1) (2) W ta fu Lt #r E-*., EFEl",t* L3 #r E-*-,
xtr
ffiET
1o.r 0.3 0.6 3 6 0.6 0.6 0.1 6 0.1
0.6
3X+31(+4/(;
2.5 * +31( +4.5 X"
6*6pE-,ln,
2 l*aw" 0.8 0.48
3 r.4 3.2 7 0.3 1.2 6.4 1.5
2
4 ,llrTl,0.3 v6 =4.8(fr) frfi,+ x0.e =3.6(zE)
t. I HmetEi++, fl^Efi fl n.I D.ltrzJ'fffH 4.8 )E>3.6 )r
tB!{iE,f tr+E^ffiHE" lrEl, E,lll!tr1ffifr&,*"
.*
61EffiEl
ti#fi#..EIF&Ta['BsD
-1=8(f) I
9 0.7 x8 =5.6(+X) Ezrr : frl fr fr + *&#t,1. *-ln&-Zfu + fiv.#t,1.
E,HI ffi-H4.,TTaJH 9 ffiH4ffiI{ HTEHE x_li*.&-4iffi8.
5.6 +)K. 0.6 x2 x2 x5 =12(+*)
llttfizHh/J.ffi 1 +Rd *"+7itJffi 9 lLa,*"+iztit 8' €E ( & 5 XH) fifi,-L+ffiff+*EE t2 +*.
t)
fr9 -r =8( t{lffr,Frrv\fr|",&w* = FJ [6& llffi z i-ffi *ru#t *.&.fta[ ,fr 4ai{- N.*- 2 +
A x 14 fA#." Fy;f t-ffi" 0.6 +)f ,triiLffi€dt€4 +0.6 +)Y-"
54 - l8 = 36( E-.I) .f - 0.00...009 x0.00...005 =0.00...0045
1040 10,1.0
36 +12 x0.5 = 1.5(78) 20+o
ffiTEE-
n, {&B,RjEE{ffiE;[{,} t. s )r,
"
GmmHffiF { (1)O Q)W 4.96 <5,4.8 <5,5 x 5 =25
OE),Bth 4. e6 x 4.8 < 25 ( 4HAEEIEI)
I (r)# #
(2)s8
100 2 6.3 x0. 16 = 1.008 5.4 x2.6 =14.M
2n
6.3 5.4
3 + l0 x 10 x 10000 30 + (&tr- x 0.16 x 2.6
378 324
ffiB*rpft-)
6'3 0 1 0,8 0
4 t*lf*,2.s fiEts.zs Hh 4.s6 X*,ooo 1.008 t4.04
5 0.8 x2=1.6(X) 1.6x100=160(X)
O.Zl x0.09 =0.0243 8.5 x0.6 =5. I
6, zj'ffi$5 MtfipW {Hfrl1[EHE 160 X,
0.2 7 8.5
6 0.06 x1000 =60(X) 0.04 x 1000 =40()K) x 0.0 9 x 0.6
0.024 3 5.1q
60 x40 =2400(+t-x)
6, i*4Ktr MH-W fr11 *ffi fi fr EfrR E 2,400 + 1.46 x0.45 =0.657(X)
fr*"
8'&rlEffi+BgHHE 0.6s7 X.
7 27 + (10-1) x10 =30 4 20.4 x7.s ts3(EX)
=
E,[RWE3}.
2.4 x85 =204(+fr,)
iltf A'
:,J. *t,*. frJ A 4, 4a,,J. *t,-r*, ffi ,.I. 4\ R &.#J E,&)rffiffifrHl/i ls3 EX, E %J 204 +fr .
I
i, E *_:dlfr'li, ltJ kt *.fr L0 4*, ar 44 4\ #t *-5 E 24.6 -12.4 =12.2(ffi*,H)
0.012 x r2.2 =0.t464(A*)
*-#t Eft&r{ 6t4toi 9 )E', fr 27'r#v\ 9 +*. 10,
*" 6' BH l4 € )<ffimP.ffiffi o. r46a 4)f'
EY"j-4lA)E "
GSEImDTfr
0.
@z
2.tr
1 (1) 6.84 % (2)W
El
,EE
2 52.8 6.3t2 1.016 7.05
3 (r)A (2)^ (3)c
@+
o
4 (S+6F&-)(1) 8.3s 0.24 83.5 0.024
0.7 6
0.835 2.4 835 0.0024 8
*- (2)8.3s 2.4 83.5 0.21 83s o.UA 0.835 71 j)ffi:zF.J(Tv\hfr*.
62**** &
Effr
0. A2 1 rl&r $nr fl ,Ffr v\, 4+#tFiEe 3 b|i+ + " 4l
2.8
I trtr fr = -*tfi-&#tfr H.
GffiEEF
tr 40
(1)x &E' t2.9x3.8-2.8
0.7 6
8
frffi=+*&++4aL#l B Er ffi-+*&6 + =49.02 -2.8
=46.22
4a-L#J 2 *a*,#,#t *R,ft8,'af rn B =4 .d" B = (2)x
&8,2.5x(4+12.8)
9, &Ei"- *t,LxB=12 $.AxB +1=12,A*-
=2.5 x4 +2.5 x12.8
B #t tr 6 T AV lt Il, Ffr v\ B ^ A!',ft 9, X 61,*- 4 " =LO +32
-1- A x4 =12,Fflv\ A =3o
=42
GffiEg3
2 3.4 xl.2 +0.8 7. 08 + 5. 4 +0.92
1 (1)B (2)A (3)c =4.08 +0.8 =7.08 +0.92 +5.4
=4.88 =8 +5,4
3@ O =L3.4
x0.8
0. 125 x5.6 0.65 x7.2 +0.35 x7.2
2.7 3 2.4 4
xl.O 7 x 1.5 =0.125 x0.8 x5.6 = (0.65 +0. 35) x7.2
1911 t220 =0. I x5.6 =l x7.2
244
2 7,3
2.92t1, 3.6 6 q =0.56 =7.2
16 -6.28 -3.72 86. 3 x 10. 3 - 86. 3 x0.3
4 0.27 x20 =5.4 4.5 x0.7 =3.15
= 16 - (6. 28 +3.72) =86.3 x ( 10. 3 -0.3)
0.2 7 4.5
x 20 x 0.7 =16-10 =86.3 x 10
5.4 q 3.15 -6 = 863
( 1) 11.5 +7.8 xZ =11.5 + 15. 6 =27.1(*)
6.4 x2.6 =16.64 22.5 xI.6 =36
6,ffiffi_ltKzl.t)K"
6.4 2 2.5
x x (2)1L.5 x7.8 x30 =89.7 x30 =2691(fr,)
2.6 1.6
384 1350 *,MtN,N,*Wfr,fr2691 fr,.
| 2,8 2 2'5 4 (t)2
16.64 3 6.q q
HH+fie{ft nt, *frl&.*" €+HH&fr+J ffiffi
5 25 x 0. 006 x 30 =4.5(+fr) e,fftE 40.90 7r,"
ffi
E,zs,Sff.ry -tE (30 X) AH6Hft1 (n)
40.90 x3 =122.7
d4.s +H"
40.90 x2 =81.8(78)
r}
6 3 r'f rc tl -r H{ =2 B{ 10 2 H-.} 10 ll=3 N 81.8 < 100 122.7 >lN
1.5 x3 =4.5(fi) 4.5 +3 =7.5(fr,) Wlffi&Ea| U* 2 +fr " ( AEEPEI )
fi.
*,rfrwffi7.s (2) (17.76 +6.24) x4 =24 x4 =96(tc)
jtffi:&ffifi,+fr.i^1++t14*t t
ffl t0 r4+ 96 < 100
^,
6trilElrt 3 st 10 r> -1 Fl =2 Fl10 r\, H*r^R_ E,fio taW"
"*
63ry;,
rJr$fi#:,. trs&Tfff . BSD
4.4 x2.5 4.4 x2.5 E. { ( 1.2 +1.2) x5 =12()E)
=1.1x@x2.5) = (4 +0.4) x2.5 6,[6* s €ilHH!frFHffi4 t2 fi.
=1.1x10 =4 x2.5 +0.4 x2.5 20SOx0.16=lM(+)
t
= 11 =10+1 E, lM& fr t* tulah rA ft r04 +
"
=11 3 E;*- 1.8 x2 +3.2 x3 =13.2(f+)
*wHa
0.75 x 2 +1.9 x3 =7 .2(I+)
6 ll x22 +0.22 x3300 +660 x2.2
13.2 -7.2 =6(fI)
=ll x22 +22 x33 +66 x22 E;*-
( 1. 8 -0. 75) x2 =2.t(1+)
= (11 +33 +66) x22 (3.2 - 1.9) x 3 =3.9(r+) 2.1 +3.9 =6(11)
=ll0 x22
=2420 ,jJ 6 r+tK"
4 ( I )4. 6 x2.6 =11.96(+tt()
+zElg{riiJl!ffi
E,MBillffiflE 1r .e6 +r'X"
-.18 = 2< ) = > 3100 E- ffi
(2)7.2 x4.6 -5. 4 xl.5 =2s.02(+tr)K)
4 hw 8s.8s 5 r.728 3.6 0.048 6
6
E,Etr ffiffirR tt pH 6 HlEtr X 2s. 02 +ft *
"
7 18.66 8 ffiE
(3 ) ( rfEl4ffirpE-) JtHl'EH0ffifRtLzJ'Hl'EBt
1C 2e.3C 4s 5C
=. ffitr,:..*DYfr*t
= ,1 2.8 630 0.75 0.86 t25O 0.m8 15 0 4.6 x5.4 -3.2 x5.4 =7.56( FIX)
2 0.21 x3.8 =0.798 5.8 x3. 5 = 20.3 6, JtEl'E B!ffi fl tLzI Ef E H0 Efl t 7. s6 +
l*"
0.2 r 5.8
x x
3.8 3.5
5 ( 1) C.D.E
168 290
63 1 714 (2)8.42 x0.08 x 1000 =673.6(fr,)
0.7 9 8 2--- -0-...-3i- q A ,+f{#{€ Ettnlurrrtffi4- 673.6 fi"
6.32 x0.5 =3. 16 0.061 x 800 =48. 8
6.3 2 0.0 6 I #-.'fEf =-E
x x 800 1(1)x( .,,X
0.5
\
3.1 6 q 4 8.8 u
I
(Dg
3 (8 +0.8) x0. 125 5 x1.03 x0.2 2 (2)E
=8 x0. 125 +0.8 x0. 125 =5 x0. 2 x1.03 3
rn I
rTTI
=1+0.1 =1x1.03
',
=1.1 =1.03
fr-fr Afr
0.36 x0.7 +0.64 x0.7 28.6 x 101 -28.6 4 (t)o (2)oo
= (0.36 +0.64) x0.7 =28.6x(101 -l) 5
= 1 x0.7 =28.6 x100
=O.7 = 2860
**=
64'irrffiftli:f;E;fi &
6 GffiI ta-flt
JE' ITt
'ffiffiffi
ruffiffi A (2)^
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3 H*6pf;-" 62 +Eit+,5 +2=7(t), EtrrtLjtt-a4+Wfr
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ilmkd
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4 (1)@ Et' Q)@ t 2(r)s 6 6 (2)7 612
34 4r L
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.:.@.-.i..-i... j:..W...:...
-'.i.".
ta j-tu
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3 +EiE,ffi 2 EIX-| 2 +ET/6,+fl*-^t
65.cry,
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fi
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g
ftFFl: 0.26+i+)i-
3(1)@"'L.ffi.lj
ffifu@z
2.9+i + )f-
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ft#l8B!EXUEfA x6 +0. 26 = EEftlEl
B9#ffiEfl
1-+,HT4+rtfil+"
EI.
(6+6pE-)ffiitfiif&
2 ffiAH- +nWWMa,)-ffi9. 6 +El W, &.* 4 x3 = EEiBt+ry
ffiltBt+fi +6+-flFSB!+fi
trl,ilH g +rtfrW"
ffietr 2x(flr.t7.*B!*fr -2 *) = FEHX*Bi*ff +
2*
ffiET +8tfrtr
jlffitTv\*9#ruf fi Ltu++a *,*.#-N+fr
(t)x +4 (z)fia (3)"-l a+l
- x *pT.
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-bo
(1)-+ffiS#J$tffi, (2) -fffiffifn-f trS .E _A
ffrUt&Zffi rE TE
o
3 2n+l I *ii
+?;f a i; x + st'x dii;'
I K- n*+fixe$,*ii
i|ffi z&# E fr Xfl, z 4* t + a fr fli # *'l' )t* 13 i-LzxE$tn n**#t
iz*E#12tr,&-ifuft2x @
lL;l*2 +-fr&**t'&:3 +2 =5(iF) ; Ez i. *.4 - 2 * )- I$ I fl. * *!?.*'- -i i
+-frtfli#*,1'&3 +2 +2 (&) """8 t =11
=7 " 6
1frtfli#*'J.B:3 +2(n - l) = (2n + L) lk" # llffi z *Nt &l&# z +gz 16l #t + A * a, +-
tl,ffi&. *f ffi+*fi*6"
ftffi--wEar44,2
4 (1)ffit+ * =a t6;[,BF I t,g,ri =2 + 6ri; fi ffi= ^, W s.
(2)+{n-LHlWft o,#fr f+,f{itWW.F
" Bt4+,r +er*=3 tP*r&. Ffrv\t t}.t*=
b,*.frb+-,+tl{ntEiryE l,
",*i,'cf o.
j*f4rfi,ffiHfr*zsh (2 x3 ) t 6 $., dl-,e[€ 6 + 6 ]ii.
o x10 + 6 x 1 + c x
GtrETIFE
0.1=10a+6+0.1co
I
5 Q)az -b2 O@@@@@ O@@@
(2)a+b a-b (" +D) x ("-b) l2x=4N 3a+156=208
(3)"' -b' = (a + 6) x (" -b) 3 (1)c (2)A
:C.gm 4 (r) IF.*Bllry - ffi H Bllfi + * \ffi )',W. = el,
4,W^W
( I )3 f+RBiEEl = I +ffigffiffia
(2)t fi x -4 +7 =45
l+_L&ffifitffi +L RW+WUIM =3eo
(2) \/ (4)\/ (2) tEih trJ ffiW x 2 - 5 )i -- Wffi W ffiW.
(1r),\'z;L;. "= 2x -5 =56
3
]rzoox $ (1)r - I x +l x -10 x +10 (2) trl4Bt
-
*" B+H!*& + A$ffi*& = 1200 * & x5 =5 +W7-ffi (3)225 +5 =45
66&
ffitl,;l+s*
(-)
GTET ffifE 2 22x =44 x *45 =6
+22
(1) + 10 (2)2 ffi:22x +22 =44 ffi;x +45 x45 =6 x45
1 X
2 (1)@ 3+r=5.8 (2)O x -4 =6.6 x=2 x =270
144=Y=$
ffi:3+x-3=5.8 -3 ffi,x -4 +4 =6.6 +4 6x =72
ffir144 +yxy =8 xy
x =2.8 x =10.6 ffi:6x +6 =72 +6
8Y =144
( 1) x +26 =88 x =12
8y +8 = 144 +8
ffi:x +26 -26 =88 -26
y=18
x =62 3 ffi,fr€W-frMWIFjbKE*h*"
(2) +ll
y =52 x+7x2=5x4
-ll
ffizy + 11 - 11 =52 x +14 =20
T =41 x +14 -1.4 =20 -14
(3)
x -2.5 =15 x=6
ffi * -2.5 +2.5 =15 +2.5 E,+W=ffiMfu1IR)LKF-6 II/r."
x =17.5
(4)
y -1.3 =5.5 8r = 600
ffi:y-1.3+1.3=5.5+1.3 8r +8 =600 +8
y =6'8 x =75
4 ( 1) x -20 =125 E,tr+Wffiffi+d 7s Hr+tflAW.
ffizx -20 +20 =125 +20 5 ( 1)3 (2)E#6PE-" l[ r +5 = 11 6x =36
6 +fr6Ff;-. l[ 4x =x +9 4x =3y 3 4
x =145
GffiI
(2) Hfiffift-
y +370 =6670
ffi;y +370 -370 =6670 -370 1 0 +3x =36 7y -15 =6
y =6300 ffi16 +3x -6 =36'6 ffi,7x - 15 + 15 =6 + 15
0)nhW*frrrF.M?Et 3x =30 7y +7 =21 +7
(2)14.H*tr1#Mtr |eJ + rIffi ffJffffiE.lnJ = 3x +3 =30 +3 T=3
x =10
-+BlFffiAFJ
(3) x +22.8 =28.6 3o+15=105 2y +3 =33
ffiz3a+15 -15 =105 -15 ffi32y +3 -3 =33 -3
ffi:x +22.8 -22.8 =28.6 -22.8
r 3a =90 2Y =30
=5.8
3a +3 =90 +3 2y +2 =30 +2
E,**[frffi u *e,gLHT 5.8 cB ff}trMdfq.
pE-) a =30 T =15
( +Eie4ffiFfiry\tffi
98.27 2 ( 1)3r +50 =350 (2)4x +2 =14
6
ffi1x +50 -50 =300 -50 ffiAx +2 -2 =14 -2
:C.Iffi mte t=t
3x =300 4x =12
1 (1) + 4 + 4 9 (2) x 0.6 x 0.6 3x +3 =300 +3 4x +4 =12 +4
1.92 * WUo *=100 x=3
"-
67GffiE
,ffiffg.
Eg+&Tflff.BSD
3 ffi,iA#f iEiHeK , =F*" ffi:3x +84 - 84 = 156 - 84
2x +7 =55 3x =72
2x +7 -7 =55 -7 3x +3 =72 +3
2x =48 x =24
2x +2 =48 +2 fr. r +35 =79.4 x -13 =15.5
-35
x =24 ffi:x =79.4 ffitx = 15. 5 + 13
+*. =44.4
6'WFrEiE+K24 x x =28.5
4 ffi,t91 ,R#8, ffi" 7x =63 y +4.5 =6
+7
1.6 x5 +2x =10 ffi3x =63 ffi:y =6 x4.5
x=9
8 +2x =10 T =27
8+2x-8=10-8 5r +17 =62 6y -52 =38
2x =2 ffi:5x =62 -17 ffiz6y =38 +52
=45
2x +l =2 +l 5x 6y =90
+5
x=l x =45 T =90 +6
s,l .R#€ I ffi" x=9 v --15
s oo@ fr..1 ffi,&frWK4t x +*"
,
ffi,lft+XH x +f,.. +836 =6300
5x +7 =30 -3 r =6300 - 836
x=4 x =5464
E,#RH 4 +fr" E,frNK?\ s464 +)l<.
6 (1)3 (2) fr 4b +3.5 = 19. 5,ffi'r,+ b =4,FfiD) 2 ffi ,r94# frt,rt €ffi XE Arte + Htr B! -E&
Er 4l.
4a - 1.5 =26. 5 ,ffi1$ a =7 .
E,*f..ffiL$Wfr7 l6x =L440
"
x -1440 z t6
r
=90
-, | 4.5x 2 90" -n" +2 4( 180" -n") +2 E,N fr t tt€ffi XE E/r+ tr trt 8! -E&E
3 5o 4 n-2 n+2 5 4a+2.5b 19 6 tl"
O.Z 90
7@f[O @ 8e 2n+t 3 ffiz&€rFffi4fitB,n.
-.1C 2O 3 C 4 A 3x+15 xl
=51
=.1 +
Nffifr+J*W.xa = 100 3x =51 -15
4x =lOO 3x =36
ffi;4x +4 = 100 +4 x =36 +3
x =25 x =12
fi
2 tr+#l6fffix3 +84 fi=ts6 Er€tttfrgEfitBtz )tr"
f*.
4 t'ffr4trfr{ft&,
3x +84 --156 ffi
*" 'E*iE
68ffif, 3+S*
6x +35 =605
6r =605 -35
TEIE!Effi
6x =570
1 (1)@@@@ (2)O@
x =570 +6
2 (1)c (2)c (3)A
x =95
3 (AEEPtrI) fri,lti*e^flHEffif;fi" 4H'BEb
6' B:EzJ'ffi+6Ef4T& es +X"
(6*6pE-) Ezlt#tE/t t), -M:ftffiH W WilM, fr + wtu M
89fiftfiE(4 -2) x l80o =360",rgBfl#E*
frFl-
ffi=XK
78.s ( iL)
(rL) (n)
4422..5s ( rL) t
( EEAFE-)
EEI:zJrEEXf 1 +fl@ffi4 ElEBB9ffi#,-*
Gffit
EE+s9fi+
IET ta.5 )trW,,*fi@fr*42.s i,,Eyffi#,*
(r)-
,)'w,t (2)@ o @@
1
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4x +42.5 =78.5 3 (1)i8tr,
4x=78.5 -42.5 L82.so,.}
fEe+
ttr
i
4x =36 tz.zs^
arA.ie+ 'i'
x =36 +9 i+
il.5+
x=9 hr+xib+
Er-€i.ffi#g n" (2)182.s0 -12.25 +1.5
?r.FJ- =170.25 +1.5
78.5 ( a\rF ) =r7r.7s(h)
$,ffi.ffi-fr+*ffi ' WtFffi+ * fr,ffiE
B!
(r\x (r\x)
42.5 ) ? 171.75 b"
ffiH ,I&,&A-&K 7s. s ,DKfrtJ^FltffiH 4 4 m -45 -40 =315(X) 315 +35 =9(t)
eEHKB!^#+tr,6ftl| 42.5 4 W 9+1=10(+)
'DK,WH^W XE-*iAEI fE*"
Ez4oo to
^f+,€&ffiKVft*,)'ll:/r.t
ffi$,ffi'86&BgKH.E,ll*. llffi z tot-* ffi - *!4t) &E - *!*1 iE * ;h q00 -
4x +42.5 =78.5 4s - 40 = 31s ( X), 4 fii i!<-I6J ftrE * 4{- ss
4x=78.5 -42.5 )r-,fr 315 X Lfrfr tL+ 35 .rK-,315 + 35 =
9(,|) ,Ffrv\fr 9 +I =10(^)i}.*"
4x =36
:C*tIr
x =36 +4 fi+L
x=9 { (1)28 (2)7 (3)2t
6:6&B!KEEe hX" 2 frWX,WHHWffiRW, ffi Fl r,luh+. A#.
"*
'nB! 69ryiil',
irr:slffiTffflI.BsD
GmeffiEll
W*,fr.,'.ffi$ t8 + I = 19( 4|) .
tr;oE*l
f 1
,WmnN
lrta;t-{t r4 -lI ll+-nal 2
-ll.t,rll
tW+n, 40
35
4 +2 +16 +4 +4 =fO(4|) 30
25
6, ts Ef ,,\ itffi &.,)-ffi9- 30 rl . 20
15
llffiz (1) Flfti 2 ri4 attt*,rttrt(futt l0
^#rfi"n
4 ht), n * 2,t#t s *; (2) Fl si 8 +#t fr" n $t 5
0
2016 2or7 zot9 2or9 2o2o +4n
t6 h-#Jjtfr( #,tt 16 h\), n rI 4 ,'tt w{r;
(2)ts2
(3)Fl r.i 2 h\#rfun$ 4 +#rjtfr(+eEt 4 h\), 3 W,)- tnffi ; t))rffi -L' * zr .,\ ry H! +{i K E 6 f E S .
A+fitff ,+futt 4 +2 +16 +4 +4 =30( /|). 4 f; E g6*+r E#tw* Lix H T{E)E fr it H
&'&/+
(80)
(70)
ry#EilEE (60)
(50)
(40)
11 ffiffis
1EF (30)
Qo)
2 *trr) tE +E ffi * Ht *u.4ff ,H)n 6i+ E (10)
x*- (0) los[ *t*+ *-X if,{ Mtrr trr*'ril
rs
15 GffiHffiE(=)
t4
t3
t2 1 0)t 2 (z)fr'Wtr'B. G)tfri^NH'n4,ffi.
11
&mfi#(AEBptrI).
2
EE2o24 +r -6 E{r}HtftE{Ein6-i+W
'6€/+*'
26
25.5
iS{ 6}n *+ aRIh +r{+}n 24 2 .5 5
'24
( I )s (2)38 23.5
23
1)6 10 12 22.5
( ',l 0 1234s6
n+>
( z ) fifr r )t ilt tttr Eflt#flal-i* @ ( 1)4 t 2.7 (2) )^1 Elhfl 4 Ettlwaflw
KE#, )A4 E (h$J 6 E IhWHETWffi4.*
"
t2
11 C
10
9 E,rAt .tir ti LE+E! -
8 ,)+F, Itr '" - J + '-t g )L *.T,f,t
7
--- :iE4if{WN
6 5 W_ _tu+e ,B r< -
4
3 4 (1)1 (2)2 3 s
2
I 5 ( I )40 -20 =20(41) 100 -60 =40(jl)
0 ,1.*,lrE ,J.tr {<fr&, 4,#J
"x,ibn,AMl
( 3 ) Kfiffi , tr}Kfiffi'+ WHW&.* Xi+T 40 rl.
** "
-' 70ffi
ffi*,$#st
(2)60 -20 =40(h)
* : 4'lL)itX*tl'4-X*WWT 40 tl. EF€ff ffi lWe*, XE E 4t B! )\WR')- .
:Grft
+Hfift (l)(81 +92+83 +85 +84) +5 =85( j|)
1 (1)es (2)es -s =te(dK) 6,B 5 Affi*\fi*'ffJ+frltft8s h.
E,*fr-t.lf-tiycffFp te lK"
(2) (83 +85 +84) +3 --$a(ll)
2 0)Q5 +20 +13) +3 =16(+fr-)
*,t*hgdJfrWY'frtlft84 h"
E,*fr'gLEWWE#,16 +fr.
*H-teHrlffl tl
(2)(ls +20+13) +(2 +3 +3) =6(fH) ( 3 ) - + &lR h f" 1tH-+ fr
E,*frtr)uEWE#,6 +fr" EA4, i*#4 rX iH hfeffiWffixt+frhffrv
3 (1)C (D3 +a+2+2+2+3 +1 +5 +3 +4=E(W) tfr , iL+fr ,lEfrEt\t** fr H0 E * zJ< * ( A'
+to-3(lk) ^
29 BEPEI).
s,iI
to 4FJ+Yq91ffi3l{fr-" (1)0.s | (2)35 (3)DAiEEf iEi,#iqs
4 (r) (,'aflltr ,)^t'flJT)r tr tr ,F 2
5
54 4 ftfrE'.fr h, g {fi 9l EItr 6 * +, # + T E iE
(Ax[Ep4)
(2) W( 2 ) iliHtr) EI + Et 9HiH)E &i+A "
)
/!& ( I W(2lfrEfrUEE&r6i.+t
7
6
s.o h.
4 5 &rt 4.0 D_lT 4.0 -4.4 4.5 -4.9
s.0 DJt
3
2
I EX"iE"= rE iF iEtrE
n"l, f*.f ffi re w r
r:s 135-140 t4t-t4s r46-rs0 fl-al*t"
U I 5 4 l5
(3)zJ'E
9
( 4 ) ( 6+44Ep4 ) fifi,fil#t+fr HHXbA E 142 (2)
EX. wlzlfiE*uEEfl,r6itE
5 (43 x4+72x4) -56x7 =68
l6
E,Ha +WE".68" t4
t2
l0
8
+7EfB 6
4
-. 1s zfr*,30 487 2
0
.Ov\n 4-O - 4.4 4.5 - 4.9 5.0L5.0 4,h
1A 28 3B 4C u\L
=.
(2)fl*
=.1 (1)10 HE{ Q)2 (4)leo
(3)o1 5.3 @ts 3
(s)38 5
0)
2 H&tr+fr+4EXi+HliEAt
uEE ,lEinffii+a
L*- HEtH+U!li+
40
40
35 -. 1 68.76 m 0.0r 6876
30
25 2 0.46 36 r0.08 4 370
20
1 l0 5 3 46.8 4.68 4.68 4 1.87 1.98 t.9 2.M
5
0 ,& E + ir!. EaqA 57 6 105 7 67.96 8 t84a 920
Rtr4+d(.
9zo
rli 1026
71 ' M,Mory
dr#iltf .E+frTflt.BSD
-,1C 2B 3 A 4s 5 A 6 c 6'ffiE e.2 *ffJffi6"
=. 1 9.7 1.2 0.23 1200 tz.V+ I 2.41 (2)4.2 x2.5 = 10. s(+i-)K)
2t S'itflLHEqmflE 10. s +f)K"
2 (Efrffi)s.616 3.e5 t.152 62.05 ffi , iAt FE B9 +Wr?tJft x 4L+ "
3 24.6 +31.79 +25.4 (0.5 +0.25) x4 3x -L2 =L38
=24.6 +25.4 +31.79 =0.5 x4 +0.25 x4 3x -12 +I2 =138 +12
=50 +31.79 =2 +l 3x =150
=81.79 -3 3x +3 = 150 +3
xl0l
76 -2.04 x 15 12.4 -12.4 x =50
=76 -30.6 =12.4x(101 -1) 8,t[EBl$ffi/trtE 50lL+,
=45.4 = 12.4 x 100 5.5 x1.6 =8.8(i) 14 x0.45 =6.3(7E)
8.8+6.3=15.1(i)
=1240
7.f16 x2.4 +2.4 x2.14 3.21- 1.6 -1.95 E,WLWffi+frftls.1i,
= (7.85 +2.t4) x2.4 =3.21- (1.05 +1.95) 4 (1)@o
=10 x2.4 =3.21-3 IFEIfiT.
=24 =0.21 22.5iL
4 x +6.4 =A.5 ?-x +I30 =lN &+he*$fte , ' ,rni
ffi3x +6.,18 -6.48 =V1.5 -6.48 ffi22x =50
x =18.02 2x +2 =50 +2 22.5 x2 -5 =45 -5 =40(zu)
$,tr+fr&fr40
x =25 )tr"
2x +3 =12 3z - 18 =3.6 (2) (E*ZKpE- ) O@ FIffi , igrgr(ttr+tatfl
-*ffiT*,)-*,t
ffi22x =36 ffi232 =21.6
(n)
2r +2 =36 +2 3z +3 =21.6 +3 100 -58. 3 =41.7
r=18 z ='l .2
w,1 tF6J.rrT:(E*6pfi-) (1)
Ef ffi lJt # * s fi 11 * B-E,ffi tlH )E fr i.+ E
.
+ffi/iL
(600)
(500)
(4oo)
(3oo)
(2oo)
(loo)
0 - = t^ w _i- x+^
(2) (2,10 + 350 +400 + 300 +500 + 550) +6 =
390(7tr)
fi. 1 ( 1)4.2 +2.5 x2 =4.2 +5 =9.2(t<) E,+fr@++effi#3e0 )r,"
*'
72