三角形全等练习题

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2、FBDC9.ABCACBEGB3=BEABCDFDF=CD,AF,AG.(1)(2) AFAG(3) FAG10.ABC AD BC CE AB,D,E,AD,CEEH=EB=3,AE=4,CH11.AB=AE, B= E, BAC= EAD,CAF= DAF.AF CD 12.AD=BD,AD BC D,BE AC E,ADBEBH ACBD E C 13DAC, EBCAE,BDCD,CEM,N,1 AE=BD (2)CM=CN (3)CMNMNBCCB14ABC B=60°AD,CE ABCO.AC=AE+CDEB15ABC MBCANBAG,ANAB=10,AC=16,MNN

3、B16 ABCA=90°AB=AC,M ACAD BMBC D, BM E.AMB= DMCMDC17AP,BQBAC, ABCABCDBC,CAADC=ABC=90°AD=CD1DPABP,DP=3,CAPB18.ABCBAC=60°ACB=40°PQBQ+AQ=AB+BPAQP19.DABCBCCD=AB,BDA=BAD,AEABDF BDAC=2AEABEDC20.BDCEABCsQoVHgvom<山。daQs山。UJcracoeL1J0+山ads山4山。a山4som<LL.8Qom<a山。mo<山。寸HCO04Rozla0

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5、山gcixLL.o4止g。女山om<sLH山4山。OQ山4aCQ山4qcq<山<0爷84。63<8a山。g+山8H山<cnaH山aa<山。8Hga<小山。6dodLl.LLdnoeJogav69CObcomSOQm<Q30Q<wa。06Hdm/omwO00HONm.88山NoaglNOHWg0<mogwaoaHag。山aOOImOQom<山30。3gvo二由04om<7COCO。山4a山0<LOLL山HLLaLL山LLaOOLL山0<dQodHgdNdomm<om<-000cNz(CNOHWOgo&

6、lt;o.ocoa山。g+山8口山<maH山asaofCQvom<LLas山aLL<。8!?0g山CJHga289mgLLd山4om<eLd山68dmo<QOH0s山441ADABCDEABDFACEFEFADGADEG42BFACFCEABEBD=CDBDECDFEDACF43A=90°AB=ACBDABCACDCEBDEBD=mCE=n,B44BDABCDEABEAB=36cmBC=24cmDE45.ABACMCBNANMC90EBMCNCEFABCDOACDOE2ABCDABCDABBCCA.490(3)BAG20SABOS,ACBD(1)ACMB

7、OD3040BCOSAN=BM19CAOO,EOF90,AE3,CFABCBDE46OEAC474,548(2)ABCABCSBEFAHDBFGADD6ABoD50ADABCBCAB=2AC=4AD51DCDC52RtABCACB=450BAC=900AB=ACABAFCDHBCFBEACAFBCDE.53ABCBECFACABBEBD=ACCFCG=ABADAG54D,BE1AD=AG2ADAGABC,ACB90,ACMNE.MNBC,MNC,ADMN:DEADBEMN:DEADBE;MNDEADBEAMBNAMMABNBAAEB.oAGEBC55.BN,AMABBNDECEDCAMBNDC

8、36)1.FED,BC=DE.A=,AD=2.ACE,ABBAD3.ACD,B=C,AEB=,AE=ABC12cmABC.51=2,3=4,BD=CD,AEBAEC,BDEAAACADBC61=2A.A.SABDACDABC=70°A.ABCBBC24)8B.C.D.C9.:ABEACD,1=2,B=C,A.AB=ACB.BAE=CADC.BE=DCD.AD=DE10.,AD=AE,AB=AC,F,DFE=BFCA.5B.4C.3D.211,OA=OB,OC=OD,0=60；C=25°BED)A.70°B.85°C.65°D.CDEA012A=

9、D,0A=0D,DOC=50；DBCA.50°B.30°C.45°D.2513.ABC=DCB=70；ABD=40：AB=DC,BAC=A.70°B.80°C.1OO0D.90°40)14.ABCD,ABCD,ADBCABDCDB.15.C,ACD,CD=CA.BCE,EC=CB,DE,DE16.B,E,C,F,ABDE,AB=DE,BE=CF.:ACDF17.:ADBCDF=DE:BECF18.ABBCB,EFACDFBCD,BC=DFAC=EFABEGFDC1.BCBC,CDCA,BDAB2.ABAC,ADAE,BDCE3.F,C

10、F4.AC,CAE5.ADC,AD6.57.128.ASADECSASC10.4011.B12.C13.D14.D15.D16.B17.A18.C19.D20.BASA22.AC=CDEC=BCACB=ECDABCCEDAB=ED23.ABCFEDACB=FACDF24.BEDCFDE=CFDCFBE25,AASABCCEDAC=EF.1.1ADBCDBCB12.2ABDEBE3.3AB=DCAD=BCBCF=.4.ABCDADBCE.FBDBFDEAEAFABCABDA.B16565.ABCDABDCADABACADBC60°24°BOCBC.8.RtABC.6.7.90

11、°AOBACEFC.)9.C.A.ABB.D.A.10.ABCDEFDEBCEDDB.DACEFD.BABDE11.ADABCBCAB4ACADD.2AD1012.ABCA.ADABCB.AD5C.1AD5ABABCACA.ABNACM,BC,ABAC(48 )13.AOBOA,OBOM=ON,M,NOCAOB?15.ABDCACDBBECE,AEDE.16.ACABDBABACBEAEBDCEDE.E17.E.FBDABCDBFDEAECF,ACBDABC90°ABBCDACA.CBDEF,EFCFAE.1.ADC2.B=CAF=DC3.704.27536.37.8.72

12、°9.HL10.135°11.B12.D13.A14.D15.C16.A17.D18.D19.:ABAC,AN,AM,BN,CM:BAN=CAM,ANB=AMC20.AMCCON21.ABCDBCABC=DCB,ABECED22.23.ABEDFCB=D,ABOCOD24.ABFBCFABCADEEAC=35°BAD=36)1.BDABMC122.2AMBCNAD=7cmDM=5cmDAM=300NM=cmNAM=.3.3ABCAEDC=85°B=30°EAD=.4.ABCDEFABDEABCDEFSAS.2ASA90°ADBAGDE

13、AB.5.AASABCADB60EO=10DBC=FO=24)9.A.B.C.D.10.A.D.B.14.11,ABC,AB=AC,DBC,BF=CD,CE=BD,EDFABC17)A.90°ADEADAEBD4CB18ECOBEDOA2OD=OC311B.90°40)15ABADAC.180°AEDAD.45°A2216CFB3=4ABCDABCDADBCAD=BCAB=BCB19OECDCDAOB:1ECD=EDCAEB1.35°2.7,5,30°ooaots a o09 v ov av dv sv 9L3Qdaaadaaadoa

14、daoaaoavoa0O8avoaavaooaadavdo393Qoavaavdaaoavdo=daao'ovooaaovaavavoa93avavoaaoaoavd3aavavoQZl93Vavoaavsa£Loaov39（乙）03=3Q（L）,sgoavoavaoav'aovaovtwada=satdo=3vtoa=av723vaova'aa'osco'ar曰日ozqelgsl071CT9LCTSLVWoel07l日lua34030toio09'6svs89ssgasvovga=v=aovld3=Oa09ABCABAC14cmEAB

15、DEABEACBDC24cmBCABCADBCABDAD10RtABCC90°AOB117ABCBAD4cm100°AB6cmB5cmABCC14ABDEBCEDAEADACABCBCAAD1BADAC4cmBCC6cmDBAEFDB5cmAD13ABCAB4AC6C1AD12ABC100°ABCDEFADFACDABEFCDE15ADD2AD1016BDACDCDAB178ABCABACEBDCE0AO18ABBCDCABCDBFDEAECFAFCE19ACABDBABACBEAEBDCEDE20ABDCACDBBECEAEDE21BDABCDBFDEAECFA

16、CBD22ABC90°ABBCDACACBDEFCFAE1DFEFDE2ACD3BDECABDE4ABECDFADECBFABDCDB54690°7108°810cm9AAS10135°11B12D13A14D15C16D17D18ABDCABECDFDEBFDEEFBFEFBEDFABCDABECDFAECFAEBCFDAECFAEFCFEAFECEFAFCE19CEEDCEEDACEBEDCEEDCDEBCAEC90°AECDEB90°CEED20ABCDCBABCDFOBBF3.A.C.DCBABEDCEAEDE21BFDFBE

17、ABECDFODEFC2.AOBCODOAOCACBDBEBFCFC.OAABDA+ABADBD.905ECB.270A.ACDA.CDCDABDCDB22ABEBCFBECFAEAE301.ABCABCABDC+100°CDBCBDB.BABC100°C.CD.BDCAD30°BCBCFABBCBEC.BFDF7.C.30B.OAOBB.OAOBD.CDAOBB.ABDCDBD.ADBCADBCDCA4.DBADA.AC1CABFDEA.15O0BEACABCADB.ADA.AEB120°B.40°C.EFDADCDC.80°BBA

18、.250BACBBEADEEEFACABFA.AF2BFB.AFBFC.AFBFD.AFBFABE9.A.SSSB.SASC.MSD.ASAB(BD10BACABD90°CBDDA60°B75°90°24ABE11.(08OCODDAB12.ABCABAC13.ABCDADBCADABADB60°EOEACBC10ABCDAD90°EBCDE.AB18.ADADBC14.RtABCBCBCADC32BDCDOEOFCED35°ABCBCABADABC19-25261060EABDEFMNPEFNPFPD48°E52

19、°MN12cmDE.20.DCE=90oCD=CBD ACBE ACADhABBE. 21.BACABECGBCBDCFDEFG2ACDF22.MONOMONOAOBDAOMONB EB ON BOMADEBOC MON.23.AE CFDE ACBFACAB CDBDEFDECECAC.BEFCGECAADD24.ABCBCGF AC FACBGDEDF ABEG EF. 1BGCF. AABCAB ACABDEACFGBE+CFEFEGABCAEGBFEDCGDF2B1.A2.D3.CABDCDBABCDBDDBADCBADB1CBDABDCDBADBCBDADBC.4.D5.A

20、6.D7.BRtADBRtEDCADCDBDEDADBEDC90°ADBCDEABDE.RtBDCRtEDCBDDEBDCEDC90°CDCDRtBDCRtEDCDBCE.ABDDBC12ABCDBC12x54°27?ABDDBCE.8.B9.D10.11.CABCBADACBDOADOBC12.SAS13.60°1014.1416.517.35°18.19.DEFMNPDEMNDM48°52°P180°48°52°80°DEMN12cm.20.DCE=90()ECB+AC住90EBA

21、CE+ECB=90o(ACD=E().ADACBEAC(A=EBC=90o().RtACDRtBECEBCACDERtACDRtBEC(AAS).AD=BCAC=BE(CDECooAD+AB=BC+AB=AC.AD+AB=BE.21.DEAE.ABCEDC.22.DAOMEBONOAD=OBE=90°OADOBE,OADOBEAODBOE,()OAOB,OADOBEASAOD=OEODA=OEBODOB=OOABD=AE,ODAOEB,(BCDACEAASBCDRtOBRtACEBOCOA,DEFABFDE.BCDACERtAOCBOC=AOC23.BFE90?AECFBDBOCDE

22、ACRtCDEABCDAFRtDEGRtBFGRtDEGRtBFGEGFGACAFCEGBDGBDFCDCDFGBDFCDGBDFCD()GDGDEFDE90°DEDEBE+BGGEBE+CFEF.25.CCMABMAMCANG90°BCACBC=ACAOCHLEBFACAE+EFCF+FEAFCE.CERtABFRtCDEBFDGEBDEF.GBDBGFDCF.2GDEGDEGGNABDEBGFDEBFDECEC24.1ACBGCBDCDBDGBE+CFEFFDEGDFDFDE(SAS)EGEFABCAEGEAEAACFGBAECAG90°ABAEACAGBAC

23、+EAG180°EAG+GAN180°BACGANACMAGNCMGN.SABCSAEG1212ABxCMAExGNSABCSAEG.(a+2b). BD,B A AB,C A AC,AB =AB,AC,AB=AC,AE211. ：:BC=BC2.DBC,AC=AB,AE=AD,1=0BD,0OE=OF5.:,ABC,EFEFBC,DE=DF2. :3=44.DABCBAC.=AC.ABAC,B=C3.:,AB=DC,AD=BCEFDBE=DCE6.ABEDCF 7.:8.: ,AD BC:AC=DF,ACFD,AE=DB,AB=CD,BE=CF,AF=DE1=2,BD=C

24、D,:ADBAC,DF=DE:BECF9.ABCDEF10.:,B,E,C,F,ABDE,AB=DE,BE=CF.:ACDF11.:BAAB,CAACBAB=CAC=90°BAB+BAC=CAC+BACBAC=BACBACBACBC=BC2.:BD=CD,EFBC1=2,3=4DE=DF,2=41=3DBCBD=DC,1=3,DE=DFBEDCFD(SAS)B=C3.1+5=2+5,EAC=DABEACDABACABEACDABAEADEACDAB(SAS)3=44.ABDDOEBOF5.ABEACEABAC2(ABEBAC)AEAEABEACE(SAS)BE=CE3=4EBDECD

25、EBDECD(SAS)DBE=DCE6.AF=DE,AF+FE=DE+EFAE=DFABEDCFAB=CD,BE=CF,AE=DF,ABEDCF(SSS)7.:BD=CD,1=2,ADB=ADCAD=ADADBADC(SAS)BAD=CADADBAC8.BC,BD=CD1=2,DF=DE,BEDCFD(SAS)E=CFDBECF9.:AE=BDAB=DEAC=DFACDF1=2ABCDEF(SAS)10.BE=CFBE+EC=CF+ECBC=EFABDEB=DEFAB=DEABCDEFACB=FACDFBECE4DEED(1)ABC,ABC=45,HADBE,(1)BHAC(2)(1).220

26、10AOBOAOB2009AEAOBCFEFABPMPM=PNOAOBPM=PNOAPNOB.AEF90BCAE=EFOAOBPM=PNEFBCOPOPMEAM=ECBCAOBOM=ONAMEAOBABCDDCGECFAE=EF3EBCCAE=EFADFC1GC2ADFG3GAD4OPMONOPABCACBB=60°ADCEBACBCAADCEFEFDABCACB(1)(1)MDDP23)CABCBCADCF1AC=CF+CD2006BCCDDE.(BCCDADEFADDAF=60°25AFBCBCACCFCDBCDE(1)ACCFCDABCDCE=DF.ABCDCBDCA

27、BCADADAB=ACRtABCG.1EFFHCDBECBCA)(2)ACBADBAC=90°ACCFFCCFACD90BDBCBCA90CEACB90°DCFHFCDG(1)CE=DFACABBCADEBCIIDGDGACDCABCDBCABDE=DFHBAGFDEC9CA=CBECDEFECDBCABCA180BCACDBCACABCAEFBEAFBBAFDDAA1AB=AC=6cmB=CBC=4cmABCD310.ABABCBCBPDACK1cm/s1,NBCANM=90°,CMBPDCQPCQPABC11ABC,NBC,CMABCANM=60：CMDCK2

28、,3,DCKAN=NMEAMBADAMDMBN3KB1,NBC,CMANMAN=NMABCDE,NBCANM=108°4,DCK5,ABCD,ADBC,AB=BC=CD,hBC,CMDCNANM=ABC,AN=NM2FEAD5ABDEBCEFACDFABDEEBCEFBCEFABDEACDFABCDEF2.ABCAPD42°48°C52°583ACBCDEABCDE48°ABCABDAPCAPDABBCAPCAPDBDACADCACBADBDCABDABPDA4.ABCDEFAB=DEABCDEF()(A)B=E,BC=EFBBC=EFAC=D

29、F(C)A=DB=EDA=DBC=EF5ABCC=90°AC=BCADBACDEABEAC=10cmDBE()A10cmB8cmC6cmD9cm61RtABCCDEB750ACABD90EDACACBCBAE1030B40D609ACBBCB=30°20°3O°IOACADBCC35D40°ABICABCACBD12.BC=5cm,BD=3cm,D.13CDAPBCOAOBAABCDDCDACBABECACBCDBAC15.A2n4n4ABCADEC=90；ADBACBCD,ABOPAOBA.5cmPAOAB.3cmC.2cmPBApaOBPB

30、BPODABDACC1.OPBCAAB3.C4n4DA14.ABCDCA4nBACADCABAD90ADBAEDAC2.ABC,C=90；AC=BC,ADBACBCD,DEABE,AB=5cm,DEBABDOCODACAB4.D,BD=10C=90°ABCBD1270°C25°AECDEADBEPQ.AOB=60?BC=8DBDCB5.5326.AEB.7AE0ADBCPAEDC=6OADOBCOCAEABCBECDQ8.AB=AD1=2ABCADEEBCDACE1.AB=ACAD=AEBD=CE.BDABCABACBAC40°ABACABDBADCAE

31、90°1DBCBDCE2.3.0.AEABEABCABCABABAE,ADAC,BADEAC,BCDEAED(2)OBOE.ACEE4.CDEDCE3BC5.ABCDCBAB=DCAC=DBACDBABCDCBCCNBDBNACCNBNBNCN6.ABCDBNACBDABCADCBODOABCABDCADBC8.ABCABDCBECFBOAODBAC=90AB=ACBDABCBDCEBABD=2CEAEFBC410.ABAC,ADBCDADAEABDAEDE11AEDEBCDCABEBDC2DC=AEEABEBCAEDMB=MDME=MF2BCEDA12ACDEACEBFACFAB=

32、CDAF=CEBDACM5111111.ABCADEBC2.ADB4.ACDADCEACB=AED=105°CAD=10°B=50°DEFAOBEDBOBB=30°ABCEDC,ABCABCDAB+BD+AD=40cm,AD=AB=AC,BC,AOB0A=90°A=OBD,E35°52°AC,BCADBCAB=DC,AC=DBABC=60°AB=AC,ADBCD,AB+AC+BC=50cm,.7RtABCBAC=90°BD,CE,D,EBD=3CE=2,DE=ADABCDEAB,DFAC,E,FAEF,A

33、DG,ADEFEGFB9ABCACBE(av=aooaoava6Lda+av=ov+oaoav'ovaoa4dvvoloaodoOt7=aovo09=ovaoavSLoaadvaoavt=doldavdalao=avo06=oav=oavZONQ=9IAIV3Na'a09Naavovw'ov=8v006=voav9LNIAI9L=W0LFVn Na NVlOVa NV9LQO+3V=OV 0oaiaioavoav30(avo09=a oav(e) no=iaio(s) aa=sv lNNO'N'A300aa43v093 'ova £LO

34、V Ha Hsa av ov 时q oa av(aa=av乙 LQO dVdva =dvo (av3 =ovam =a 43v=avHOtt7=3V(E=a3=H3H30 dalav so oa av oavoiW(s)OVdV(2)(D*ovldvtiwcdaoav39=030BDOEOE24ABCABHAGDCBADBH60OEADDEHDWATBE+BC25BACH90OABHAC.AEABoAEBDAEDOCEAEEBDHDE+CE26ADABCEACBEADF-ABCEBFHACFDHCD.BEAC27ABCADBACDEABrnDFACF-ABC28cm>BH20cm.ACH

35、8cm2DE28>moEH90OADEACDFAC.fobhdpbehcf.29ABCABHACA"。BDAB9AD+BDHBC30ABEbdahbad>eABDACH2AE2。BFnAC-GomBDomABCFBDcghab,>gAFCAQPABEDC2一ABCabch-10。ACBH4。omACBD>0CBDH4。CEDEADCEBA22EABCDCDFBCDATFAE.AFHAD+CF23ABCBACH90OABHAC.AEAEL)AEAEBDAEDom>mbdhde+cf2BPDEOEADCABCABAC180°123=2831ABCA

36、CB=110°ABC=40°BEABCACABDCB=40°DECEADCAFCAC32BD=DC,DEBC,BAGEMAB,ENAC,BM=CNDCAMBDCNE33B=C=90°MBCAMD=90°DMADCAMDAB34ADBC1=23=4DCEADDBCADBC=AB35ABCABACBAC90BCACPFFPCP90EPAABMEPFABCAB=2cmAEPFB36AB=DEAEBDD=180°AFDEBDCF=CD37ABCAB=AC,DCBADB=60°EADDE=DB,AE=BE+BC38AOBM,NOA,OBOM=ON,OCAOB?DEBCA39ABCABBCPA=PB=PC2PAC40OCAOBPOCPD