26春《练习帮》北师数学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》数学北师大版1-6下_5下教材帮数学北师版26春

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ts ot TWH,2s nLffi ft,T *L EHiE n $d-" s, ithffi a + )fffi,ffJ &'). r*JH 3s2 L, &.*rtlfi
S,*ffi 20 mL filE&&4i6" 440
^"
zo*-
6 (r)3r| il"r=h
rl-ru
(6+)
E,z 4Y11-7tsffi'ffi+B'ffr. ?&
@* 20 x71 =s(6)
6 (6fl) !L(+S)rt' s 6.
7 2x2x2x2=t6 '
frx16=r
6 lso*$=e0111 e0xft
=81(7tr)
E,+ 7692#ffigf&ffi"
hffi k - f-f#rfrlt #reflftffi - k#t 2 '8,Fft
v\ a kE ftR*l#t Z x2 x2 x2 =16 4*,fr- kL 7 (EFTlptr-)soo g Effi f;trF tr fr ffi,fr+Jffi.e.$)
E*r)'t
ffi1ftfr,eg E++Fttfr.stfr,n'l o x-EI#jft
x,1
500 =t75(S)
fi.ea E++f 4+lt #rfr , ro =1,fr,frl *+rb,E.
4 :s00 e BffiHtrtr Efrffi.ffJffiRltB 175 s.
Gmafi*Hl5
*"I=4s(r+)
B 1- +=+
(r)(hETpE-)Mffiffi
1
45 x9.4 =a8(fi) 423 <450
ffiffiffi
E,)*.e&WfEiHfHtnffi.
trtrtr
jltrf :,,r,fr 4.*'J #^ )h ffi #r I,,, y\ -* )nfi ,e E
s*!=e
??
#^fi ffi#t;,*,ilift (+) ++
60 x f, = 4s "
(2) Q*l*6pE-)
tt
---1t t t t ---r-- 95 +)"1ih 9. 4 iL, *# * 45 x9. 4 = 423 ( rL),
___r___L__
tt
tt 423 <450, Fft u\ 450 n-&N.lh ffi hs.ffi .
52&
lsf, *+s'E
GEIEfi*E(=) a)c)b
111232 llffi:tHnk-c h r"
1 2^z-4 3^5-5 **
nt "xf; =b =r
2
JJ
31587
18
3 s4247726 25 o=LT) b=t
4 ( EErpE-)
L)
Bh; > I >;-, Flld a >c )6o
t21
6 (1)11 t3 (z)rt t3 11
4"5 13
-Y--- 10
S, i*ffitff*ffr6.&rlfr\E t3 f,r 15
"
E,hfheFlififfiffi#fiJEE fi VrW H.ffiE llffi:fu,,n'e lg5 h-ffitxtl x 15" E hk=
1
B!m"
* -#, Fftil*frt&t*ttt4*3\7l-fr- t: io 15"
5 (1)B (2)D
4 3 6 4 6 l0l0
6 i*r=i ll *iT=u n " 7E
1*
-. +
E,*Xffif-AEErots+fiafr" 2s
tfi
H E fr<u,-rre-r,xarfr) 27 3+ + + 4
B
,l+ ffiH, rI&Z ffi + + tt + Btrw + tl&, E ll1 ffl 6+ t+
oo
ffl+fE{[Hifx.
36 13
=# 8 lwhw "12 39
. ertrr.oe-r 7
+ + + +=ffit -Y--- 7
"
:ffiIrEln -. { 2c 3B 4c 5A 6B
A
325 5 7
=.{9 7 4832 5 3
1 ffii*( r ), "tEEJry,lunmW WX" t*|W t7
* *
* *! * 2 frrrmmr
tfiiw w mw" lmlatrr Firy
+ "
tr.1 +'+
ffi RQ ) ;' {Wl&ffl FlWffi EHIIW &.*r " ffi.tl
WffJBJWE,H,IW&1" 2 ( EE6pE-)
"
#tr(3) Pi,lFJffiE o"tkfJ"o WHBIW
"
2o? i "' 0 *
?
$<armee+^pft-)
<rl,' 30 (3)@
r55
g .=+ *=T ,=T
*= 6
tr}J loo >96,FfrD)too fiffi,w"
8:100 )r&W"
4 O.ZS,l *,rr,? I
1 2 +"#=ftr+nt
(1)zIT t (z))ET (3 +T
) 1
53 , .,'.'"ryfffil,'.,,,di$&*,r:.fifi4ftTffi
.
BSD
87
Ei^t\i{umT$ft+afiH+ffi. 2 7
3 dm3 "*' L mL
-frgth&./-*-, i,l 4 i 0 l 0 /\ 4 (1)B (2)c (3)c
,-,
--,
x' f f r r 9 8 6 6 a a fr f ) r - ) f - u $ 2 ; " , ' t i 5 300 150 lltfi= Ltoffi 2 #7y-4Jfr 900 mL, rz{
i
?) ffi 2 #rL#t?l.r I tSrY#r"e. kel Y14
a00 xrt =120(E) t20xi =80(E) ^RA,ffi
2 t6?Yfr18#r1;, Bp 300 mL" 4k#fi-t*fr * ffi 3
L- t
E, lH E % 120 fr W E E*h R, tH E rh
^fLH fftY#JAErffi 2 M.rK#t&#J*.6.,'uf v\u\ffi I fr
tulHlB=trARH 80 fr
"
?Y#r&h +ne*E,ffi 3 #qK#t?h *_ffi 1 trry-#r
(1)
&#J-+, Bp 150 mL"
YTF
Ii) ..'...4(HI+)
100 + 12 = 8 (
a
8+1=9(&)
(2)480x?i=360(k*) E, frfiWft&ffi tLVffiXeDffiW e tr-.
iEtr: &&kn y ,n&ft&ka -D a+" na. l.
E, tilflt X+XYt41WT 360 km.
# * tr-;k, ap Z@k+-q r,q,ay fi ,k 6 D a+
"
( 3 )480 - 360 = 120( km)
+flEJH+4BtiI,t*"
E, Mat E€WHLfr X1;t[8 120 km"
iIUtrElKtr AH * D+ 1 trX,B++T]WfrIJKtr.
s (r)e@@
-rtft*,)-E;K;
)
(2)3s0 ri=loo( T*/flt) HEE! ffieH *,)-+ r' Wffi, Bf Hfrk$9
Dtr;
3s0 - 100 =zs\(+#/Ht)
E,HtrytJ+ ffiiB?" ffJje.trfrtrE?fl +*/flt
"
+M\Mtu1frffifrfrF*D+fr8*;
B@e6
Bf
t[1E H!,f$frRH *,]. + I n]-tr)K B! rEt{+,
ffim
{firP.-5*rn nt+wvtulwtrfrfiR*Dn}.Ex.
{ (1)c B (2)c (3)B (4)B (s)c ffim
Krffio!{trn
2 nkH6tulff T f ilizl< S HtE lEl /t (1)8 8 K fr, H
" V=abh
(2)108cm'z 72cm3 (3)1.5
13 x2.7 x1 =35. 1(ntrX) 35. I x1.33=46.68(rd)
sHoaFl7t"
ts 46.68 rd"
3x2x3-10=8(t) 'Bi54ffii#-#tul,IYtr?ttA
5 dm =0.5 m
E, 6frY#. 8 1.Bffi Bt 4.-iEf {4
" (15 +0.s) x (10 +0.s) x (3 +0.5) =3600(4)
CA
4
6'+6Bffiffi-*HT 3600 4frq^.
5 4 x3 x3 =%(t) 2 x2 xl =4(+) X +4 =9(E)
zjcE!{4fl,15 xt2 x9 = 1620( dm3 )
E,rl.Uffig EH.
ffiS EfrW@:trfWffff*l2 x72 x72 =1728( d*')
t+rPctu
t620 <t728 /(TAzffiH*
1 "- dmt "rn' "*' "*' Efr t6€;fr+Hlzj<lyHH, t 6N + t2 + t2 = 11. 25 ( dn)
**"*""
54a*E*
EfJR
8,rtfr Wtuftt F H!zJ<{nHEE t t. 25 dm. 6, tst&Afr?m4 L 7K.
60 +4 +3 =5(EX) 5 +3 =8(EX) 37.8 dm3 =37800 cm3
5 x5 x8 =200(ntrtrX) 37800 + 18 +35 =60(cm) 60 >55 4<5
E, IR*Kh{+^fl ffi ,f4frR E 200 il IEX. 8,ffiPil'frfrre"
jltfi: tkl$-a)H",,3 E*-,nt tr.i.7 -+-Ei4+,q ffiHffiB!;ruE
,€ E *hlt y<i 4+#1 Bk"fr fu Jtu kfri fr , flls Z #"+ 1 ( 1 )2so (2)0. 1 400
i
+tt h\ #1 4 +4frt tu frt fr fiy.la +, tr 4+fr1 &fr tr$;"', 2 (1)1.s 144 (2)2.s 240
3 (r)c@@
#\
dt*+a' (2)20 x 15 x (8 -6) +5 = 120(cm3)
3E*-i E, Yfr trtthffiWtfitr'E I 20 cm3 o
( 1)5 x5 x0. 1 = 2.s(iufrtrt<)
6, Bf#$ffi Et{4frRE 2. s nfr IEx
"
(2)Bf#+ffiE"4,1." 6!" ,E#inT'zo q;6
3E)Y
{lfr,)fr&-t ffifr,#.wwflE I .03s2 izu.tr.x,miqiqxffiE
(' +€ *-fr trrfr" D t Ao + i E )f-, Ft v\ |fr. tri 4+#J + 20 frak1#.+ffiwwtFiF-2.s iftr)K, ffiE
&.t 0o +4 +3 =5( E*) ,ff 4 l<laff ,-at h 5 + ffifr#klt+tr t , EtrllLS+ ++ffift tr,1. " frl o
3 = 8 ( zE*),lkW xnt tr l<i 4+#r 4+ff.8y nf (17 -9) + (5 -1) =2(c-') 9 -2=7(cm3)
^ "
ffil
{firP.+{uo!}Eg 6, zJ.I*&l{A trF,tr 2 "*', tr*6!{ffl,ft 7 cm3 .
(l)l lom lom Q)l 1000 10m (3)30 llffi : h tuB T +n' + Xt*4 -- ,,l.,J'ri.6't 4+F' R-
9 cm' , - t ii qt- 5 -a ,J. tJi-#J 4+tr, ft t7 cm3 o
(4 ) 1000 ^
17 -9 =8( cm3 ) ,:*14l,tlw+t,rt #J4+tr ,^,6rI+
2 3800 70 9.2 1800 18000m 0.15 8.05 8050 * - t,J.4ctt 4+4v., it fr ,!: * - t Xi&fi 4*F,.
L (tr/II)
3 300 mL = 0. 3 2. I +0.3 =7
L +zot*{riutAJ
500 ml =0.5 6 +0.5 =12(jil{+)
20.9+1.9=1lOr/r+) s4 s4000 0.25 250 6.5
f+ 3eo
7 <t1 <12 414260 71300
7t 87
S,ffiX 3oo mL *At5.fu1&1frb1fitr^&,.
r.s ,+ = 1s00 E/l 3A 4A 5B
+70:21(ff)
1500
E,&.*F].UtfiJzt frT"
6.3 x4 x10.6 =?-67.12(cm3 )
A
267.12 cm3 =267.12 mL L--r--J--f--L--
267 . 12 *L ffi fr,t& fiLR T 2s0 mL, tr tifilli$ H0fi
ffi fiH f+ ts& Ft, tfi tlf.4+ ffJ dtr tV,* [zr 6 frR 4 C B D
;ir,ftfrtrT
250 mL"
E
50 -5 x2 =40(cm) 30 -5 x2 =20(cm)
40 xN x5 =4000(cm3 ) 4000 cm' -4m0 d -4 L
55.trF&Tffr
dr#ff# .
BSD
lnEl, 3 x3 x3 =27(dm3) 27 dm3 =0.027
6, BfEf{+B!{AflE 0. 027 m3,
zotrX
B6e6
str)<
ffiEI (-
,)fim;*
)
2700 + (30 x 15) =6(tri()
{
(?AE7FpE-)
€l,ftEfffitr#ilHA B0HEE 6 Er(.
E. 1 8 x4 x10 =320(cm3) 320 cm3 =320 mL (r)2 2
7
320 <330
l*t 2
E.ffiAWffiTIHffi#.
ptI*ffi
7
jlffi:
lf.#t<it*#t4+f,t+ SAJi.* * A^ A,E
hil.t*#,,*" *E-tr,.,J. f 330 mL,iiLEAfr *#.hli
)'Hfr*;*,**tr,ff f ,I.rif
7 330 mL,ii,Bnfi 3'd,=L
4"
*)\fr#.&i'frfrf." 16
6^6l2tO_1012
2 3000 cm3 =3 dm3 50 x20 x 15 = 15000(cm3) rT*'=il *t=lr il*)=lr tt=il
15000 cm3 = 15 dm3 ( 15 - 3 ) +6 =2(h) t4-141212^1214
*' t7 =B *i =E't
E, 4!)'ffi8 2 hW t frEWfH rll E.E&. E =B 13 = 13
3 l0 x8 x (10 -8) =160(cm3) 3i 522
t2 t3
27
B, BEL,#}ts ffJffrtAE 160 cm3 o
jlff
:'fehA$ ZE ,E* * rfl,h-fr flt +fr ftEn + f;*zs=fr<+nl
ry #t w itu,ii.EI it fti 6* tu $r a E_ft 8 cm ; s;iiA E, +#r E+f, i6zJTBEEEC+rfr +n
#r& E, E#,b+f r * rLffi E fft + fr ftLi fi #t "
*z=[
iin,-til"anitFi6*6 #t"tuE-f,- 10 cmo 6*fr#Ja s f ?*r=h #=h.h
E-Hnr T l0 - 8 =2(cm) , EI it #W#t4+ty.:dilfl
S i@'i.HzF6!EEE'H.
'
oo
lL# y< i ti,#r t6#.1+ tr t-ffi 6 3 + t =4(E*.) ii+4 = 4o(,//.)
^ "
4 ( I ) (4 x2.5 +2.5 x4) x2 ^ = B 4 y 0 'a ( f d m2) E,*frtrWmerfix.
E,A,).ffi*ffifrd[ 40 dm2 o
(2) (4 +2) x2.5 x4 =60( dm3 ) 7 frA " Wh {.+WWUMW,h+TA, r|&*ir+#
f
6, i*frEA*TWEWffiH!6frR8 6o dm3 WTF'TEffiIE E T ft JT MW.ffJ F]W, ffi +,1 W
"
E,,fr: ( 1 ) r{,BEIto, #*frbk&tt frtx*a g 1- fr WuHftffittHi*flrJ ,MJfil *t =+ "+ =*,
t fxfr fu fr t t 4nl fr #t fr fiv,Zfiv " 7 .<_ 7 _7
5'"-5x5-25o
(2) rE + tt"Ehl lZE, l<i 4+-#r )t< ftG + 2) +-, cm
*i ^ (-
tr ftz. s *-, & *-+ + )F-,+l n 4+#r E#,* ,)ffim;* )
^
{tV= abh,$,X:p-ffiBy;y, ))(z)t
5 18 +2 =9(dm2) 1 (r)
wttt x3 =e( d^'),Ffiu)tr.nwwffiKB3 dm. e'('Ia ( + )t
.-*.-"
56s+s*
ffii* ea
+*.l (2) l:+ E WHjfrffi + F LV,t +E ffi4'H! H
2 =4(X.)
Z
ffiffi
3
(,r\ -m I
5 (: )ffizl<HlE€t ,ffiHOEtr
\L)zJ- 7
0 lm 2m 3m
2^4 5l
or=5
8""
+1=5(&) t2
3
)
5515
ffigx+s=f+a ffi:vx *s =12*g
3 (1)c (2)D *=lo I *=E2
4 2r +*=rt rl =+s 5 2 _ ' 4 7 _ - 2 5 _ ^ 7 4 _ -r 7 0 612
7""
93953 13
l0'5 10"3 ,-6 6 12
2 wzrx* l =E*i6_
+!=600( +*/N)
+oo
r4
*=13
E, i^y tJ++ fr trat fi W. 600 + )K .
3 ( 1 ) x+q.W*trlilal R*ffiW*ftT-+w.ffr+
@+*fi=ftru^>
Q ) T+ryWfutrt ilnI H**nWErEx +Wtr +
4
6, tsffirt4iHffi 1 L ?tiHtrr D)lietff r.-" O)fatftfH!ftfffi
?+
7 ffiffiffi'^4.ffr,Wffi., z *lWWW&flh&tEJB{ (2)
soo4
*l,ne, z +t - e x+) * (t "lt =z " (3)fla\fifH0fifff$ " + +EAfifEtflfff+
i ? )? * r,Ffiu, * t =2, ;,BPhtll-+6 hFffJ ft4,iEBffifla\ffiffiffiffii.,t * 4"
)
:"
ry++*BtWffr[s]W" = 800
8 mfr{--,C@ x =1200
-H+*HIU9,*,)'FfilfrfrHt
A) ffi ,jk$A lfitJr)Lffi B,Ut ft * n.
i.E=10(.F,)
!*
E,-hL*.ilUq' l0 Rfi{BFE" =960
x =1200
^ffiJ-t@@
- H.+*il ug,*,)' Rfrtfrfr,t t E, B6lft&t)1.fr1tFthB t2o0 fr,.
L1 ffi,W4rfflhfifr!{+trRft x mLo
T * n= 16(.8 )
t, =SOO r =400
E, - HL'*il l\q' rc Rfr,lBfr"+
"
(6*6FE-) ikttrfil#-ffiWffi,ftT mLo
ffiI lLy
,)fimE(=)
=400 T =900
1 ( 1 ) frkBffrfijeffifl xEnfthffr6ffiEfl E, i^rhH IE XlFflnX Ws tfrfrRE e00 mL " .
57 .-=-=.ry{tB,J\#il+'
E+sBTffi ' BSD
7 14 +l =+t<A*) tr.1 # *t=fi<+x>
+xl
+o "!=fr 6 : ts.E, = Ettffi {ft + 4 @4. Ef ,[Er]*+ X,
8,fiffiH 4s + *,+thifi Sfi[,fi A?** 2 U) ffi,tkn4?&#4iHfif r ffi"
4U
"
8 ffi,lftjB*&fr* Tfr."
LA,x
=200
-t
t* =n x =250
r=10 E,n+r&++iHfir 250 m"
(z)ffi,Wx+&+
*frttr-10=l(+f;) fHfifyffi"
6,&E lo +f;,*E | +fr"
1 6 t ' r =250
Y =300
E,i;$LX#
ffifif 3oo m"
llffi: (1)rut #t+&XAftn+e+ LMN#I
4ts + 5xqffi.Rfr"?=F€nox& 63oo
&*.xt w*u-+ L*fN#r)e*.,itr-;#iil'+
=
e+ $*
60 724 810 +
#r+&*Aft
a*.Ar4i+effiEarrt " Q) xLf
-.1C 28 3C 48 5C 6C
;; +^+ LMN #t &*.* f = a+s-+ LhAN ffr
=.{
+ + ! 20 rt
ro
&&,*k*E iL- + E X ?* 9l i &ffi $By ;1
"
287^5
33"- 22 at. =-t2 1 7 J , ''
)5-o
.-8 I 7 8
ffi,ir* *h= o*h ffiz3x +z =f < i+3 ffi,lk4ffih *
^"
733 51 )
1x
* = yz'T * = r2*T =8.4
*=1 2 6 t *=356 x =21
tl E,Affih2t m"
=o* 4
*f
ffi,+.*f 8 AEB+flffJJLh7--JL
=+a
(z)}E-$+4=2 z"?=!
*=+8xI ))
x =128 t <r,l"AVEft"
3
Q){" P1!x
=+ao =+o n*-,?+4=!
r+fr=10(ft)
ffi,+, *{ =+ao *{ ffi, ! 5 * 5 5 *!=+o +l t0 >8,^fr?afr.
X
* = 1080 x =200 6:zJrEE 8 fr28ft84fl"
",*..*- 58&
ffir *+€r
4
#mnetuet-t
(r)D (2)E (3)c
(4)A
1
(l)tr
2 )Y, 60 4
(2)H tr ss
6
(3)* ffi 2s tE*-*-frt2';#E
3
(4)1L R so
s +zcLtfiilllffi
)
( 1 ) ffi,fHE 6s. ( 4tr,f,Hffi 2s" 6,fHH' 45" ( EI -. 1 ( 1) tr )Y, 40 600 (2)fr )L 30
ffi,fHfr 4s") 780 (3)ffi tr 4s
600
(2)UL#*^frf,rjt,fffi6 6s"f Hfr 6 m 9jit)ffiB
2 (t) (3 ,2) (7 ,6)
1 ,ftEr,Jfi+ 8 m Erlit)frB 2,f,frJf'lilfr 4s"l (z)fr, )t(&1L 4s
2
Hfr s - 4UA)ffiB 3,R.=.-fi4^ffi)f,30'f tfut 3(r)H2W3W ^) 1 t30t
7 mFJBfiH4L" (AEBtl4) (2))1, | 1L fr 4s t fr,
2
4 )tiilfr.37'(il lffiJL s:'; s H{frtr 37" (&
4 0)%ffi (2)wrii+. (3 ) Jt,fHE 60" ( 4tr{H
E.fffiHs3") s
188' JL so";
(=
ffiE{fiE
) -.18 2C 3 C B 4 e
0) )^trWxSE, Etr'fftffi 30"i E E 300 m FJ =.1.2.3.4 ,rWFtTsl
f rh,HtiJWlffi)L+s"n6fr 400 - 4UKlfitH.
Q)(ry*^W-)
qffiwffi
K+tHtrf rrr Jt{HE 4s"fr rilt,EEHf th
400 m;
K+tHEf rrrtr'fffiJt 4s"I Flt',SEHf Ih
400 m. El. 1 ( I ) fr ffl +Ah+i'fi fr E, ftr,J JL,fH6 s0'
2 (t) (3,2) (*fr,1ffiY,a0")-hrfr1/-]& 4 km 4lJBflIE, f^trrdJ
(2)1Y, fr, 18( EI6 )t 72) fr,ftt*.3 km 4tji*&ft,Hrfrffil1# z km fujta\
t
(3)H E 4s(48 ffi 4s) Etr, &tr rA ffi lilfr' 2s' ( 4fi {Hffi 6s" ) fi'fiW.
3 (1)6 3 )L R 4o(4fi )r, so) 1.5 kmfUjtEffi.
2
*, 60 2 )L 7o(&fr, )V 20) Q)a+3 =7(km) 8+(7-3) x1.5 =l49r)
1
^
(2)ffiw 1 g+rl./lR^frfrh.,frHffi,fHE 70" 6,4,f'f t4ri"
t rfrfr;#- t nhfllfrq4/J +,1', fltE E Jt'fffi tr 60' fr 2 l0 -5 =5(m)
rTTt t#. 2 thltlt&tP.ffi , f, FtW 11 W. 4 WEl+h Ei.n 6,BEt'f,E4HFXgA 5 m jE"
AfE, f^E tit ffi {H tr 40. I Ft'fr N. 2 y-$ EJ H fa\ El, !1ffi t tR#fu€,,4 * Wl+#t lp4iW*"e ,*"WFft
R.E fiW',fr W. 3 nfr FJi rU E,F. nfr F " fi .,t/.EI f 'al v\fr t,Wr+ N4i l0 n E 1-&E t&
59 '''***ry
rJrgfigr.E+&Tffi.BsD
€s s m,ffrv\]t blffi+fi Pl.u to -5 =5(m) 4 ffi,N*.x +E+Z,tfrH04ffiEzJ'F6+*+H0 3 ffi.
"
(8+*) x3=36+x
tl'fi 24 +3x =36 + x
2x =12
x=6
8,0 464Z,WW+W ftzjrEil4ffi B! 3'fS,
eoe6 1cm*-65 m j}ffiz i*-,c +E**tf #t+Wf,.-,J'Ifr+*+6t 3
)8,* 4E*Zrfr#J+WftQ6 + t6) y,4.rFfrt+
GIEI sEH693rtr St-&.(8 +'c) y ,tkB',J.16't{+*N x3 = 4*)frfi
itrLffi*.
+*+"
1 0)3x r,1
5 (6#rp&-)@@
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