七年级下第一章数学重点内容,关键点辅导

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2、rHSEHEffiH(CIP) *ffi*4 V, Jhrf,rtliF-.KryVrh,W. V.L+W/fttrI.tffi. -itl)k, fill*t+iliW4t, zoto.tzlSBN978-7-5658-0067-2r .oa. r. on.m.c&+i*_.uJ+-#.+6tWt:+ N.ec6342:$rrfr:rfffffifficiP E ftl*AiEtr+ffi(fh$+tlffiffi). +,F(frffi#.+ HtE,fi.,Lrt.n#,fi). Si* 5tbtu#h+.+2rt1t),HU+trJ.fr#fft*niFWLE;% illffi,|tB

3、i$ffi,L.Wntt1%2,N+Hi;f-Wttli %, lElF+Hle/&6S+EE,EW.F. .F_AZf.+ uV 4ft.-+HlflLt1B.Yl+, +A+. +H #, u+ #,f6.-. f+BlF.fi1. ;t!=Effif.84. jtF. AfrJt4!/f,tiAi.tflE6ff,it#H,i.,J. f. ffWfniF#r6. #4. 2. i#*|JtfA f F S fJ EtJfZ ff.&T f # Wlt * lX4Fh #.+ r2* fnF_lfr lEJLNh. D)+ + h + /6 t1, H +6t+zfilWfrifr-dr

4、, fih RWTffi#+A,J#Hi.Ffn*WHhBtfrE . h Lt, ffiE+E +ffi,hE#E+Fl frllEA,t l*rtEHT4fffia. AJfrEfl.tr8il6=+Bj,)ftr!, .6.EEtreHf,8. Ef,E:l,xtffiY*niFiqitfilF.+t1%2,rj4fiflt4f;ui.A,F.ttTt66fr,4F*fni.Ff!F;ZlfEE,I,)#ttfEt*ni.A,ftWf)nF, f+i5ExfF,fsi.n,f!fi65r1.C,HWEtWf+EE i*f, rf i6H,f+.E H SrF48.f, # U + +4

5、iF+ Z,H.E&,flt.fI4 tEf *f, EEii6,ltrH trfr,*fiFi=ffiEffiZru, 1tftW+ffifr%Z,ffi.+.&rJnHdE*nil.*EEE, 4#.tuE.47+FtIfrE,fftfni.XWa#ffi+ifrtr+ffi,*.+,8+ r.Ft+Z+&frA+4, #,R&t4w.3. Er+ffih)tl%l4tE,+frFffiffi#Mfrrffifttt,Kt+ff,nT+.+Z.+H6lfrffifrllElH-.l,IEffi*,ffiwE H Wfr Ffi# *siR5 rt l*ffi &iR4.iE$rJBtffi

6、rEhttr,E E * rI,6Ah V,1fr& 5 +Eft.q. h*.frtfr.EE t* # + +.* h H.kIdUffi,HrE.fl Hffi.EWtIfrZh . U# DftHt,L# * + fl Eft ffifr f$l+lRtJ,X . 4ltr*ni,F,/t.mffiH+tFtDifrFET:.5. ffiEffi#tE-reftD)-,$ + tF# ffii+ ffi*, ffi+ S H Ft+*.+ &+HS t+ #t)fr E+WWtI &6frft ffi Lffi5,T IL+#ffi,ffi#+ffi + H S.f&ffl6fn4H

7、+E V1#+4Wm,E16Ffi+E ftffiE4W.E-J,r-IrSHZ A,Rt/A HlEX f; + ffiE Fn-+rJffi4fnff ffiffitt tIEffi tKY,fi +AE tr 6 6tr*ttfit6a+HE.ffi#H Tm u l u11J-7I1 11 31 51 7t t1 92 12 123ff=Heifi+ftseo:v -=3 . 1 iiRHr . a,r.FoF 4FY6T*oniiH?;H - i - ilz*o*s2.2iE1u&niE1u&fl- i- i *Si,?:iR*E _ ! - *EG - . - ? -33 uF#f

8、i+JLE ffi H?,il - * - *: - *H - +* . r - *+A . *+r,H+fr,H. H .:-;4r*g:*Teixi$ 1tI i - lu - *E 5gil*rtrir*g,t;,:q . , - *HEHtffi . :S*afiEbb: $ q:41 )Ela+!g .rts $ BtrT, - *P - ,q .42. +Hsrrrrl*nlrlx4+Hstrrrl*filtFx4-q .r*qtBBilaui q.*4.s trHERfirH,); I.i*=*g *l- ifHFt,H.fr;- eE_ffifrFEt *.rsynu lutr

9、 trlE=Av64v . vlj - )nll?5.6 TIJH=frMf+il|EEB665.7 #Hft=ffiWft#fr*t+ .68-*.- )4 L+70-F-,N,E.JEffixFAzfHlv,JXR726.1.724IST;EH!FJtEl6.2 g.(t+t=frYt746.3 )HtrH!E.f776.4 itHFlE.fX80-+.-+-14 4+82$-ZSTET jEfftH4ffi+riffirffifi847.1 ffiNttfin*-847.2 fff+F!+frxtf,T,EYt867.s t*+frrifftE!,ltffi887.4 frtH4Hxif

10、ftiqi+K*907.5 fnV&*.7|*/a .927.6 +*fr.-1ilfr,94-*.-F)4 r+96F-ZrEjEif;EWlifr#6-SzK*il|ifitr6:gzK*iltIifFEff=zK*)rluidtrgsSzKYJlllittrg5$zK*tItlittr4rl=SzK*illJifru6a$zKTtlllifrtrtr+nljittrtrt)n|Jif,tr. t - zci+EXJ O Ai lt . &r:fi*EE-2. JL+?xx*fi:s. s.trF4,+. *4,fiF:rilttr_ffifit(1)E ZEIHfi(2)txry-,lE

11、MEffi,( f , t l (l)*l+it Js*Q)(3)(4)JOAVU- XUtrtr-F*rI-ee 11w 1 . &r.sr, 1*,dh$ffi ry5?F!*fF,i*f+H0.ft)ryfirq+ra-+_fi-+&E+.I4. -+rnil+,Ht_Ftflutf&ii+rnrt H!ltry.s. A+rfrrtffifiFq- +* $ . fr+,7f. +raryFH4 HttnflEtyffifrffi&rnt,ffih.*fi*,+tsfr+ffiry+EffqSrF-tfrtt&rqtrnfiffi_.4. *rfr,i-r+3-?sEHFjflffiF

12、FftJiltrh _tFTffiFfiF!EItrJlTSfn. tloEffi*5. ffiffitrHtUfr .ftryr, +*IWEA hHfr (r a, bffiWffifF,WD),UWWtlffi;(2)a, bffi&tR*l*+Ht+t.6. ,tnTfl *rFrt + H!IF514tr,(l) r - 5;(2) x2+?-x+38tot |a-!nn.,I(l) +4ttH!ffiA,RA HWF+ HtfAffift ryfi Fq,f&+4rt.ilH : StrSH!-+ry4?&E+tf,tt, +U4-tiF ?Hf-ffith.WEr .(2)+rn

13、frffiii&ffiKwh* tr +qtE*ffi ryFq,ffisrnfr ffi6ry.iIH : SIFfr WJIAWTE#Atr&H Ht+EffJIAW, frE#rnH?qffiffiryzfn.lgl ll tt ltJffiilTtil-F+lFrt Ht.6tr5 ltff (r) 7u(2)o.9nat(3)tht +e.Effi,;,rrA* - , + +,xfts . h+a(r - . ,+#tlt*.tull tk&.* 0 AXht, th&ft.r;p) 6ry.Fo.er,IRWETtp) 4&Fr, WW . ft . *)4*.8+, tLryF

14、-z.Rft:+rnfrx-2at*r _ 2ob3RWtRryffifr2 _*6*(l) trnfrffi#tA:/Lf S 4 rt Ftffi atllff*. tn;l.,(2) afrfitrrtf.WffifrW* + *rflfi+,7f&FH BirnffitRW, ELll&tt+*rnH!it&, t Infr+ +rnfi F!+&qfi*$ *,ffifiry.(3)tlfittffirnnffi,* fififfJ - + + rnfi sLll&.* frafflrn, - frffJlRWE./L,iZlfidirq,ffiJLtkrfr, 6?-?qB!rn

15、uqffiH &In.tf,il2l fFil T ttJ*rfrfr,ffJ$q tf,W(l) d-o1b+ab2-b3; (2 3na-2n2+1.ffiffi*gwt q?(6945,k*.#!tw#ffi,fr.ffi09fifid-&b+abz-b3 ffJfrH d,-*b,obz,-b,. if ftE 3;(/) &rfr*3na_2n+lff.JnH71, WWfr!.z*: l:#$-. lFil Fil*rfifiEnnnrn;t,#Ytst# - 1, . , .(2(l) 3*:-ltd-?fibz+3bzW-t=*f*P s 3r E1r;+rfi;fn # rF

16、rtfrffit #rt,121*rfrfr,ffiKryZE#. &frtn&i-ffi , ffift.tn&.HffiInHtli&.(1Utrffi) t+fr.Tfllilgsl TrU&fr,O, +, -+*y,2n4b,o o-b, a4+, .+-ufrt , *fi.*HT a a#frffiffi.ftn+4j(6t+,Eltt 2o46, qb-& - t4o . T*+f+6+, * . ft+4,&6Lt4 .+4 xtu t 4 * o q,#i(oo.i dr$-=o-ffiilT.-r rl*$ffirnfi fryi ff;-(r)5+*;tzt(3)Rz-

17、+*,-ty,_-2-A 6 (SfiUiHr+.)/. TUiT,*+, jEffiffJg A. -10E+4rte. SrFtt xffilh.Who C . - ,yfftIF . &Eto. Srnrt d ffJa&fto, lR&E32A . 08 . 2C . 3D . 53. Ttu,ft&fr+,RT*4fr.#rE( )l+xB. ,yA . lF?o . - b -tx+y-z*tfrt-;+*y+xy-roffi&ffilL&ilfriJh()4 . 4,58 . 4,3c . 5,3D . 5,5tLFl,&rfr -r2+xy-5xzy-r2xfffi&rnft.

18、()A. -12, xy, -5x2y, -l2rfB. 12, xy, 5x),l2dfC. -12, xy, -5x2y, 72xy3D. 12, xy, -5x2y, -l2xfE-#xyu*+x, y ffiE-IhFrF7t,H.6ryt-+,iltJm=&rfrfr,x2-4x+3HrF, R+:ItfiP,16W.8, *trfrkla&E-,H&rnE_.:lA=tFfrte. Ttil,ftrytt, 2ab2, 1,c x+l 2*, -3xy+ +IF ;,Tfrflffirfffi, rfF!+Tn!, ffi#Jtl xu.(r)+rnfi,#JKW.o,E lLry

19、.E.r.(),ftryfr&:1-E+rnfr.()(2)(3)+rnfr-2xrfi&b3ffifrffifr-2,lR&Et,()(4)*rfr,xay-fy+2x!-EElrurnt.()ts# (#rtrrEH)11 . #1za-z1nyu*+,yffifrlh4;Ffr, *FE*-b=x-l ffiffi.12. ! mt1-THrf,*frfr, tf+*v4 EWIR*fifr?B. #,& q xo-f +3x3y-2xf-5xfE# frFFrJ(r) &.xWFFFFIJ, (z) &yWffiAFYtJ.*.X * ffi- lh.=rnfrft!- jtfrffJ

20、6W*rs, -lf.tntlF.WF.-2,Hffi.tfift-+.&.ffix klln&Wffitllvrl,r*tvu XUtre_0_4_tr-+ EilOgiAH1.2 #F0trrfiwt . H, +-EtEE?qffi&,fHE ffirnEq,ffiE+4.a+ t4+rnr.J, fHtElftl?4AfEtE?B Ht+F&ZiA,F,fl _fEtnifi.2., *HffiTJ, ffiEE&TNffiNfERffiEffiETf*ffiffi? rf, EE -;lnR*f;HfrrJPTA+fiEE- 6IFHT-lE,J. +rFtt-4or, 3ob,-

21、bzffJffih_.#frftlfnHqEIffi. #rtrfiifiEtbw, -w.hhHrtlndftl4RE9t,trfitg-HPllulfr(l) lE+rn:tre+qfH E, #-EfHtE?eft!/&fEffirnrq,ffiFJ+IN.Q)a*axrfrM,ft, fr,*tfr.1t+HttE+In6* ffi-fr , qfiA+tEt +iF.Efi?4fI+FWZFN-.FtrbW,ffi-b,:W*$fr,+ffiFJX$ttJS*; ffi- *, frJBl*n|Jr+fri.tH.(3) *ffii*filJ,+frBfr+ Ft, flffiflE

22、BfffiV! + E*4. TttJ&ffi+Htffitrn, ETEIEI+rF?htl/zz(l) O.4xzyEO. zxfl(2) l2ah25-6batr:i rso5!,(4) -3x!-tE f*.55. jFd(l)x+2x+4x-3x=;(2) 3x2+2x2=(3) 3ab2-4ab2=6. *ffi?,(r) 2Q-0.s);(2) -(t-3).*an+ $,Ke-fr14t.-* &- 4 rt.ffi (r),(3)+ftErnTEE+rF, (2),(4)+Ftffir #FE+IF.lN2t *+.-z(.-tt).1*rN+x=-2,3)ffrfl,2T=

23、Tffiffi (r) h+)t+, +*dr14+a, t*&-41+ +, E4 - n+4*4it(2) +it+A*r,1fr#r ft+, - f . - *tkg - )t+ fr* 4#tfr+ .ffiRfr - L* - 2*+)?|,ir-;x+if=-x+r.+,+fis&rnffiT4.r+E.+frHfE - fff, flffifEuBfffim-EaF* fr, ffiEg&rfrdl&y.tr+E.(+)#rtftlihfilx* ffi.Ea+E+rF, .rtA+z-B0ffi*ffi. lE+4Htffit4l*, . FfrA+trffi|E,b . f

24、HlE?ffrffiry.,.i-flJt1lA:*f .-z.ELif H : OIE#I.EAW.t X, 5?EFtflFFrJfifrtrxfi *, )LtHryIF&tE+rn.lgq1l T rtJ&n+ *lWT.4.FZlE+rn.? trl -l*, E z&t, (2)8x3yts -8y*;Q) -+.5+r$) 5(2a-b)zE-t1t-zo1.r=-2,y=+fr,Frt=-3r+l=-3x(-2)+(?)=ut.Q)+ (%+aY-4*t 6x-rs,1.ffiffi F1+6,*,A+ $ +,orf +inn;JOAVU XUE(ltl7tE)-t+&Tfl

25、l,VMffiA E (EfitE4+.)(10.1. # M=?alb,N=3ab2,Pn-4db, UEffiHltt7)A. M+N=5&b3B. M+P=-2dbC. N+P=-obD. M-P-z&b9 r=2 FJ, (x-x2-5)-(2x2+7r-3)ST()A, . 8B . - 10c . 2 0D. -26(11.frx-y, EfF-#.ff, e+TrtJ#frf ftlE*rfi3. W,*z-24X 6*,-3*-Ht,ftryfrE8)A. 6(xz-x)-l0B. 6i-ro(r) 5(x- y)+2(x- y)- 4(x- y) ;C. 6x2-6D. 6(

26、xz-x-1)=+rg&Htafi *,84. F!_+2n_3,fllt/z&.*.ffJ- + ()A . 2n+3B . Zn+lC. 2(n+r)D. 2(n+2)5 .#z*ntn-x*feF#-IF,lJ nL=_,n=_.6. i.tH (l) -y+?-x+3y-2x=-;(2) 4d+3b-4&-4b2=-.-+ffifnry,/zWtfntffiry?ft .t&.LffiW?Fet,.fllttIi-LHt&? 5 +,fnt Hnry+ t& ItE, FnRs!Htffi,ftryE*.fihJ, FfrRTIJffiru,fNWqIRffi&-WF!fl8s. eS

27、KfrMHtEKE 4a+3b,KE2a+b-3, ntjfrE-y4B6(AtrEH)9. rtfl,(l) 6x2-10x2+12x2-5xt(2) 5a+(3x-3y-4a);(2) 3 (x- y)z-4(x- y) +7(x- y) - 6 (x- y)?.*.X x ffi *fr=t1-+5+4d1+l+5x-b)T6 x ffJ=lRrnffiH&rfr,*o,6 ft.13.!sK t-z-t Ffizt,fr. u, il txjFE,fr#.+ryJlfrfrlEE,-E-M=3m2-5m+2,N=3m2-4m+2tJx+#tEqra4#t?(3) (3kz+7k -2)

28、-2(4k2- 3k + l).ar2-1JOAVU XUtrtr-F#ilmtrH 1 3EIffiryFNOFE/. (l) lo3*z_fE*.to,xtCI*fi3. ttHTttJ&rt, 4RHfffJV*,*.fi,tH*,FfiD)ro3xrff=;(l) 3Ex33;(2) (-5)8x(-5)7;e#.8tE*.e.t*6_JfH(3) l(PxlCPxl0?;) -d.d;121*, ffiD)ave=2. (l) 23x2ax2=_;(2) yff=(5) (x-y)z(x-y).ffi*n t=r_Erft4FBi;Fi*(l) Egryffi&FHiHX,L+fHE

29、trryat1*-, Bll.aaJo,:d4Ex, a &IEtI ntRF.FF, ostf&/Rdig oEID)ft.ry,-oiit.+Ary.DJ,E44tt,ffiWff,e.*HtFE&,&,EIt,EJUE*fr*,.E,RtrFEIHXS*i*H!HyFt#Etlfr , fr z d=aaa(2)lErftryFffi*.*l.+.ffi,1, nillErt.M.W).E =4.4 = t tjl E,RryFfH* rf , r*ljE-UI ffif - b(3)Ftt=33n32n=32M24.lFl 2lit H,(y- x)a-,)., _-y)3(x-y)(

30、yffiffi N.x-yfrd,(1r-x)3=f-(x-,-in=(r-y)ny)l=-(x-y.#4+5ffiffi fr=(*-y)3(r.(x-y).-y)n.l-(x-y)1= - (x- y)3. (x- y)n. (, - y). - yf=-(x-y)1*tn=-(r-y).itH,(r)(uf).(txy);htd:a:d-4*+(m, , p!EbEM.W).ttH, o,R&,r-inft.+tlEt(E#r+frqrH)tEIHft i*nu.g 4S6Erf,Errlv|N.?+qfH,fiEI;grc,xe*n w, qw*.4.frEtFgt6. (2) (ax

31、l05)(sxltr); (3) 2ab(5ab2+3&b)t lfrJ1i. tH(r) -a(-a)2(-a)5t (2) -d(-a)a;(3) 933?.ffiffi (l) Tur*,enR . * - #6?r* . *,*nln+x#n-,+#rft +*nl4 R-fr+ ; &-;tvtrL$E#r & +, #eEt.R.&F 6t*. *,* nrt +. (2) * %;tlb g 6tr* - fr , . n.(FR* - *E, +i+ . (3)4 . dFl . R . &*6tr*i*,&9* - rt()-6x(x-3y),h32.ffi(l)ffi*tF

32、=(-a)(-o)2(-o)s=(-a)8=48;ffiv* zFtt=-ad(-f)=o fi of=ol7(2) F ;t=1-413( -o)a=(-a)3=(-a)7=-d 7A # (EfitF6.)t . ATttJ-FrtHtffi +,MIHA-ofrlEA. a,=-at3.()oB.att=(-a)r.()tC. at =-ao.(fD. arz=ar3+()lER xa,x=xr,|J STA. m-lB. m+5C. 4-mD. 5-nzT,IJl+HEffitrJEA-I. / - a/.- a/.- L n - l - I2 2t 2l 2i- 2)B. (a-b)

33、 (b- a)3(b- a)=-(a-b)uC. (-2)&+(-2)6=26D x*t+x*=2ttzJ0AVU rXUtr (Jumffi)t+ffi TilB# (r/trfE6)12. d*n a=5, e=3, AV/zd*-.13. ifH: (1) (1-r)(0.6-r); (2) (?s+y)(x-y).14. i&$.FJ jE,fDri$,f&Er*.f4.7tFH UtE . t_-r 6ilH.-x1-57zqaA.(-x)24=(-x)a=xag.-tz1a)=-ia=-xaa06Fi.0)EdrtA. daeC. daadd6.6tao aL)=gfc aL-)=

34、a.AL-)=A6.7.( -*)- = -*tt .8. ,n.Jbn.)t-9. # r0r.r0.=trtq ItJ-=10. tlH,iIrn,|(t) (i) (i z) (B.(-x)2*z-*z*z-*+D.-(x2.x)=-tr22=-xo(B. d+dD. (-o).(-af.(-f.(-fQ) (-4)5(-4)6;FEffi+Gtr.hm.r! tet$ Flro,f$fl ro2I&, Eltlffr/6 ffitlntJu-1atuIs.ffi*Dffi?i&I$ *K t-:-t15. MFTflJ6rtl3-l2t(3) -ddt(4) dta.U/,x11 .

35、+IJW,EftfrffJt!ffiJRffJTT(l)if=xts.()(2) xx3=x3.()(3)x3+xs=xt.()(4)x2.x2=h,4.()(5)(-r) (-r)3=(-x)5=-rs.()(6)d-&-d.d=o.()(7) db=(ah)t.()8f+f=yt+.()13+23=3213+23+33=62;1.3+23+33+43=lGlFltF,13+23+33+103=JOAVU XUtr 1.4 #w*/i5fRw*iit . Hd3. l-N,ffr(-d)3ftItt*R P.(r) (21=_,A. -dB. as(3) ()o=-;(4)(2b)3=C.

36、-a6D. a6(5) (2xd)7=-:(6)(-3c)4=IX,ffi1syp,1#RftA. aoB.o5C. aD.aeffifn t g=tffiElr*.frffiill*n, /RryTA, +AWffi*-.EF,(d)=d*(m, n ffiEEMffi).(1) rilE H aIXE,ff H ry., &il D)ft.f+H+rfrdfi 4rfrt T*IgD)TffilR, (d!y-d(x);(og=x*(x)t(3) Jkl4trFJUrEH. ind!=(d!)=(d).lhl llitF,(1) (-3z)5;(2) (-xa)s; (3) t(-r)?11ffitft tttuF-#t*i6+, *+ (l) *Lf #tfx#.ft 3, Q) ruf R&A x, (3) tuf #tR*,F.-x.ffi(l)(-3z)5=-(3?)=-3o;(2) (*a)5=(- I )o)=- * t(3) | (-r)?16=(x)o=x*-.ffi*az 6r ffiw+-hffi,#t*rt, +f