2024小学奥数精讲精练四年级含答案.pdf
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2、3 24 24 25 26 27 1 2024小学奥数精讲精练四年级含答案#z-iJJ)jil;5(Ji,OC$J/J*).28 ffi n M fcJIJi.29#z-iJII j*1(Ji ft$J/J*)29#z-iJlj j*2(Jilt$J/J*).30#z-iJII j*3(Jilt$J/J*).31#z-iJlj j*4(Jilt$J/J*).32#z-iJlj j*5(Jilt$J/J*).33 ffi/l$i fa m.34#z-i)I I j*1(Ji ft$J/J*)3 5#z-iJlj j*2(Ji ft$J/J*)36 ffi$,t-,D!lEfaJN:!f!.37#
3、z-iJ1ljll;l(JiJ,t$J/J*).37#z-iJII j*2(Ji ft$J/J*)38 ffiJ.tfjffifaJ:!JOO.39#z-iJlj j*1(Ji ft$J/J*)39#z-iJlj j*2(Ji ft$J/J*)40#z-i)lj j*3(Ji ft$J/J*)41 ffi n$fjJ m.fa ro.42#z-i)Jj j*1(Ji ft$J/J*)42#z-iJlj j*2(Ji ft$J/J*)43 ffi+9 5-!:.44#z-M-iJ1!j*1(Ji It$J/J*)44#z-iJII j*2(Jilt$J/J*).45 ffi+-$-;JIJ$fa
4、jjj.46#z-iJlj j*1(Jilt$J/J*).46#z-iJI ill;2(Ji,0C$fJ*)4 7#z-iJlj j*3(Jilt$J/J*).48#z-iJlj j*4(Ji ft$J/J*)49 m+=a f*.iaJHro&ialifdJ 50#z-i)Jj ill;1(Ji ft$W.*)50#z-iJlj j*2(Ji ft$W.*)51#z-iJII j*3(Ji ft$fJ*)52 2#z-iJlj ill;4(Jilt jJJ*)53 ffi+_$T f;E fa B,ffi I c Jcl iz,#J 54#z-iJII ill;1(Ji ft jJJ*)54
5、#z-iJlj ill;2(J ilt jJJ*).55 Jiu_-1flj jfi.;1,1-1:-3(.JB:ta=fJl,*).56/.Y/:r-J j:t:./)Z.-/)._ +m,i.I.-+C:;1 8-;I./.-5 l!-!I 1T f.:E.(aJ .,1,xz,/,JIJJ 7#z-iJlj ill;1(Ji ft jJJ*)5 7#z-iJII ill;2(Jilt jJJ*).58#z-iJII ill;3(Jilt jJJ*).59#z-iJlj ill;4(J ilt jJJ*).60#z-i)I I ill;5(Ji ft iJ*)61 ffi+E.$ff fa
6、J tfi jJK M 62#z-iJII ill;1(Jilt iJ*)62#z-iJlj ill;2(Jilt iJ*).63#z-iJlj ill;3(Jilt iJ*).64#z-iJlj ill;4(J ilt iJ*).65#z-iJlj ill;5(Ji ft iJ*)66 ffi+/,$V3-faJ:OO 67 -iJlj ill;1(Ji J.l$iJ*)6 7#z-i;lj ill;2(Ji ft iJ*)68 ffi+-t 1l V3.,fa J m.69#z-i)lj ill;1(Ji ft iJ*)69#z-iJlj ill;2(Jilt iJ*)70#z-iJlj
7、ill;3(Jilt iJ*)71#z-iJlj ill;4(Ji ft#_*)72 ffi+J.$,ofa:Yi.73#z-iJI ill;1(Ji,OC fJ*)73#z-iJl)iil;2(Jif.t$j!J*).74#z-iJlj ill;3(Ji ft iJ*)7 5#z-iJlj ill;4(Ji ft$fJ*)7 6#z-iJlj ill;5(Ji ft iJ*)77 ffi+A$foin faJ!:Yi 78#z-iJlj ill;1(Ji ft fJ*)7 8 3#z-i)lj fll;2(Jilt$jJJ*).79#z-iJlj fll;3(Jilt$jJJ*).80#z-
8、iJlj fll;4(Ji ft$jJJ*)81#z-iJII fll;5(Ji ft$jJJ*)82 =+.1l.1a fcJ w.83#z-i)I I fll;1(Ji ft$jJJ*)83#z-iJlj fll;2(Jilt$jJJ*).84#z-iJlj fll;3(Ji ft$jJJ*)85 ft.86 4-(20-9)+(200-8)+(2000-7)+(20000-6)+(200000-5)-(20+200+2000+20000+200000)-(9+8+7+6+5)-222220-35-222185 2+2+2+1+8+5-20 -1019 1 11J-350+(350+6)+
9、(350-2)+(350-4)+(350+2)+(350+10)-350X6+(6-2-4+2+10)2100+12-2112 2+1+1+2-6 1516-145-147-135-148-136-133,E!r1fllLV.8 sJ1JY?3.it:387+382+377+375+384+379+383,E!r1fll 121.18 sJY?1686+1683+1689+1681+1691+1685+1687+1678 1331+1341+1344+1355-1329-1337+1350,E!r1fll 121.123 sJ1Jfll5J.2 11J 2003+2002-2001-2000+
10、1999+1998-1997-1996+3+2-l 0-(2003+2002-2001-2000)+(1999+1998 1997-1996)+(3+2-1-0)-4x(200474)-2004-(86+84+82+80+78+76+74+72+2)-(79+77+75+73+71+1)(1+3+5+999+1001+1003)(2+4+6+998)(108+104+100+4)(98+94+90+2)1989+1988+1987-1986-1985-1984+1983+1982+1981-1980-1979-1978+9+8+7-6-5-4+3+2+1 3 f91J(1)25X32X63Xl
11、25(2)25X9X64Xl25 C 1)=(A-25X(4X8)X63Xl25-(25X4)X(8Xl25)X63-lOOxlOOOx63-6300000-25x9x(4x8x2)xl25-(25x4)x(9x2)x(8xl25)-lOOxl8xlOOO-1800000-(1)25x25x25x64(2)125x7xl28x50(1)5X6X7X8X250(2)25x75x32x50(1)6x8xl2x5x50 x250(2)25X36X9+125X64X8 500 x400 x250 x8x6x5x4 4 f91J(1)720Xl7 18 C 1)=(A-720 C 2)=(A-1860(
12、2)18Xl7-40Xl7 680 (540 -18)-1860 30 1860 540Xl8-62-(1)(1)(1)1140X32 5774 1440 180Xl5 140X70 3000 125 8 75X25 98989898x9999999971010101 -(2)(2)(2)11111111 5 7200 x52 1150 600Xl2 9600Xl20 24 23Xll 40 8 f91J(1)65X499+97Xl3(2)54X99+47X301 C 1)=(A-65X(500-1)+(100-3)Xl3-65x500-65+1300-39-32500+1300-104-33
13、696-54x(l00-1)+47x(300+1)-5400-54+14100+47-10100-7-19493-(1)798x25+8lxl25(2)1007X57+994X33(1)34X403-51Xl20(2)497X22-103X36(1)402X38-33X96(2)38X999-101X76 99xll2+198x211-203x77 6 f91J(1)13Xl2-26X4+39X7(2)9966X6+6678X 18 C 1)=(A-13Xl2-13X8+13X21 13X(12-8+21)325-3322xl8+6678xl8-(3322+6678)xl8-180000-(1
14、)37X25+49X75+44Xl25(2)56X57+112X49-224Xl2(1)77777+7777+777+77(2)8+88+888+8888+88888+888888(1)8888X7+1111X44-11100(2)99X22+88X33+77X44+66X55(7777+8888)-5-(888-777)x3+(2222xl2+3333x4)-18 7 11J(1)999X999+1999(2)76543X99999+12345X99999 C 1)=(A-999X999+999+1000-999X(999+1)+1000-999000+1000-1000000-(76543
15、+12345)x99999-88888X99999-88888x(lOOOOO-l)-8888800000-88888-8888711112-(1)37x37+2x63x37+63x63(2)56X56+34X34-2X56X34(1)20092009X2008-20082008X2009(2)13361336Xl338-13381338Xl336(1)12345Xl2321-12344Xl2321+12345X42000-12344X42001(2)2008X2006+2007X2115-2006X2116-2008X2005 8 11J(1)987+798+879(2)3456+4365+
16、5643+6534(1)lzs 7J 987-900+80+7,798-700+90+8,879 800+70+9 xttt:1:_m:900+100+800-(7+8+9)xl00,80+90+70-(7+8+9)xl0,7+8+9-(7+8+9)xl 0-(7+8+9)xl00+(7+8+9)xl0+(7+8+9)(7+8+9)x(l00+10+1)24Xlll-2664(2)lzs 1g 3456-3000+400+50+6,4365-4000+300+60+5,;1t Wg IP:EJ.J t8 iJD xt,tt:E,m:3000+4000+5000+6000-(3+4+5+6)x
17、1000,Ef 1.fr+-(3+4+5+6)xl000+(3+4+5+6)xl00+(3+4+5+6)xl0+(3+4+5+6)(3+4+5+6)x(l000+100+10+1)18Xllll 19998(1)1357+3571+5713+7135(2)2468+4682+6824+8246(1)23456+34562+45623+56234+62345(2)778899+788997+889977+899778+997788+977889 9 f91J 19971997+9971997+971997+71997+1997+997+97+7 19971997-10000000+9000000
18、+900000+70000+1000+900+90+7 9971997-9000000+900000+70000+1000+900+90+70 19971997+9971997-10000000+2x9000000+2x900000+2x70000+2xl000+2x 900+2x90+2x7 0-10000000+2x9000000+3x900000+4x70000+5xl000+6x900+7x90+8x7-10000000+18000000+2700000+280000+5000+5400+630+56-30991086-1234567+234567+34567+4567+567+67+
19、7 2334455+334455+34455+4455+455+55+5 987654+87654+7654+654+54+4 10 n n n 0 (1)-n-(-a 1)7d+l d-()(n-1)(2)S,i-0 na1+n(n-1)11 1,3,5,7,9 -2Xd -11J 7,13,19 -1+(25-l)X6-1.3Jtl 5,9 13,17 2.3J1J 7,15,23,31 =fil:ft 12 tk:5.0 12 JK3JU&3JU,fJJJ!a1=5,*JJJ!an=93,0&d=9-5=40 fiffi&3JU B1JJJ!0 an=a1+(,i-1)d,AJ1f n=
20、(a11-a1)-:-d+1,ffllrtAJ CJ*ili$j;JJJ!0 n=(93-5)-:-(9-5)+1=23 :I!JU 23 rJJ!o 1.JU 8,11,14,1 7,98,1 o 1$y rJJ!?2.JU 4,9,14,19,249,254$yrJJ!7 4.1 Jii-*-=t5,m 1 xii 12 Jr,m 2 xtffi 1 x$ii 4 Jr,Fo4ijxftITTT-x$ii 4 Jr,!iFo-xiiT 68 Jr o*451J Jtrf,ijT$:P:x?5.t.kf-trFtf-t-t?t,iit,2015 1 fa.s1FAJg 7540 Jfli,2
21、)=J jg 8810 mi,FofaJ t tITTT-fa.J$(i.F 1210#a,o*JKs11*l!,rfaJ s1 Fi!IU 30400*EL?13 19,j it:1+4+7+10+.+20080 _too eJ A-=r ey Jftf 1u 1,4,1,2008 JJJJtfo*fO o EJrJtaM1irafo 11+16+21+960 n=(96-11)75+1=18 S18=(11+96)Xl872=963 15 q it.:12+23+34+45+56+67+78+89-(1+2+2+3+3+4+4+5+5+6+6+7+7+8+8+9)0 x.m fJ1,1*A
22、i:iJ?t 3&jti,?J.J31Jit pey o JffiA=(12+89)X872-(1+2+3+4+8)-(2+3+4+9)=404-36-44=324 1.it.:(lx2x3x4XXll)7(1+2+3+4+11)0 2.it:1+2-3+4+5-6+7+8-9+97+98-990 3.it:(100+99Xl)+(99+99X2)+(98+99X3)+(2+99X99)+(1+99Xl00)0 4.ffisJ.Afl(JEtWr-1FJtlBJ:4+2,5+8,6+14,7+20,iliffi 100 -A o*it.Er:rf 100 -ABJ;,fOo 16 29 a11
23、=a1+(n-l)d,am=a1+(m-l)d,r an-am=(n-m)d0 EE tl 80-aJ jQ,a6-a4=12=(6-4)d,*1 d=60 r a8=a6+(8-6)x6=450 :Effi 8 r,m 450 3.1 124 fo 245 z fsJtmA 10,1tE-&35Llo:I!10 i:p,fi1J JL,lli:kJL?4.-ttt14,*Yr1i1fAffi 2 x,xtttfili-x$1JOIJEs14o o*Yr1i11ffi 8 x1JOIT 118,ffi 19 x1JOIT 261 o Jj*Yff111ffi 27 Jc1JOI T$J;?5.
24、J jt!JJ=f,Affi 2 Jcjff,7eittfilj-Jc$JE8fo Q*Jj ffi 13 JcT 93 f,ffi 21 JcT 141 f o JjffiJL1e1J T 249 f?17 f91J-*-=1=5 sJ ff W,hA 1-62,*-1 62 o I J mf:(1 *-=1=5 EJr 1=f ff W;JD*sJ Bt1 jtJJn*-=1=5*-1-s-Kt*itwr T tkre1mJrfi!h;JD*BJ fU 18580*i twrtf sJ s-KtJ:sJ 1i!?7$Y?*-=f:5EJT1=f ff EJj:1+2+3+62=(1+62)
25、X62-:-2=1953 JUhsJfo:1953-1858=95 f!l7Jtwijf-s-KtrY1W-i Jr,Elr 95 tM-i BJfQ(-h)o(95-1)-:-2=4 7,EJr IW-i Jrfil?J 4 7 fo 480 :*itwi1fsJs-KtJ:sJh 47 fo 480 1.-*-t5sJff,hA 1-188,*-f 188 o;Jftt5!*-=1=5Elr1=fW1JD*sJ st 11*,L5t rJn *-=t:5 i:t=r rsJ 1=f 2 s-lf *i twr tf T,2 s-K?JJ.J,J 1-t5 i:t=r sJ JqJ 1 fl
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