r04.xesimg.comr04.xesimg.com/.../zhutao/2015/09/12/14420399664562.docx · web...

500--

1ABCDEFBE=4AE=1DE

A

5

B

4

C

3

D

2

2ACBACBBCB=30ACA

A

20

B

30

C

35

D

40

3E=F=90B=CAE=AFEM=FNCD=DNFAN=EAMACNABM

A

1

B

2

C

3

D

4

4AB=ACADCAEB

A

B=C

B

AD=AE

C

ADC=AEB

D

DC=BE

5AOB=AOB

A

SSS

B

SAS

C

ASA

D

AAS

6AOBOOAOBCDCDCDPOPOCPODP

A

SAS

B

ASA

C

AAS

D

SSS

7AB=ADABCADC

A

BCA=DCA

B

BAC=DAC

C

B=D=90

D

CB=CD

8ABCDEFGHABCACDEFGEGHACB=CAD=EFG=EGH=70BAC=ACD=EGF=EHG=50

A

B

C

D

9ABCDECDAEBDFCF

A

1

B

2

C

3

D

4

10PABABC=ABDAPCAPDAPCAPD

A

BC=BD

B

AC=AD

C

ACB=ADB

D

CAB=DAB

11ABCDEFAB=DEABCDEF

A

B=EBC=EF

B

BC=EFAC=DF

C

A=DB=E

D

A=DBC=EF

12

A

B

C

D

131=2AC=ADAB=AEBC=EDC=DB=EABCAED

A

4

B

3

C

2

D

1

14ABCDOACBDAOD

A

ABC

B

ADC

C

BCD

D

COB

15ABCDABBCAECFBADBCDBDAECFGH

A

3

B

4

C

5

D

6

16ABCDACBDO

A

1

B

2

C

3

D

4

17ABCDEF

1AB=DE 2BC=EF 3AC=DF 4A=D

5B=E 6C=F

ABCDEF

A

152

B

123

C

461

D

234

18ABCFEDC=DB=E

A

AB=ED

B

AB=FD

C

AC=FD

D

A=F

19

A

B

C

D

20ABCABC

A

B

C

D

21ACBDABCDDDEACBCEABC

A

1

B

2

C

3

D

4

22ABCADBCCEABDEADCEHEH=EB=3AE=4CH

A

1

B

2

C

3

D

4

23ABCACB=90AC=BCCDABDEBCDE

A

2

B

3

C

4

D

5

24441+2+3+4+5+6+7=

A

330

B

315

C

310

D

320

25OA=OBOC=ODO=50D=35AEC=

A

60

B

50

C

45

D

30

26ABCDAD=CDAB=CB

ACBDAO=CO=ACABDCBD

A

0

B

1

C

2

D

3

27ABCBDECBDACBEFAC=BDAB=EDBC=BEACB

A

EDB

B

BED

C

AFB

D

2ABF

28ABCBCh1DEFDEh2

A

h1h2

B

h1h2

C

h1=h2

D

29ABCDCEBCEAEBDBDOAECDGACBDFOCFG

AE=BDAG=BFFGBEBOC=EOC

A

1

B

2

C

3

D

4

30y=x+3ABOPABORtABOPRtABOP

A

9

B

7

C

5

D

3

31ABCABC=45AC=4HADBEBH

A

B

4

C

D

5

32AEABAE=ABBCCDBC=CDS

A

50

B

62

C

65

D

68

33ABCBD=CEADBEPAPE

A

45

B

60

C

55

D

75

34RtAEBRtAFCBEACMCFDABCFNE=F=90EAC=FABAE=AFB=CCD=DNBE=CFACNABM

A

B

C

D

35ABDACEABACBECD

A

BE=CD

B

BECD

C

BECD

D

36ABCDEFADBCACBEDFGHABECDFAG=GH=HCEG=BGSABE=SAGE

A

1

B

2

C

3

D

4

37AABBOAABBOABABOABOAB

A

B

C

D

38ABC18cmBC=8cmABCABCABC

A

7cm

B

2cm7cm

C

5cm

D

2cm5cm

391ABCABPPEACEQBCPA=CQPQACDDE

A

B

C

D

40ABCDEBCABBD=AEADCEFDFC

A

60

B

45

C

40

D

30

414ABCADBCEFAD

A

4

B

3

C

2

D

42ACBDACEBCAEBDCDCEMNACEDCBCM=CNAC=DN

A

3

B

2

C

1

D

0

43RtABCAB=ACADBCDEFCDADCE=AFAED=62DBF=

A

62

B

38

C

28

D

26

44ABCDEFBCCDAEFABCD

A

B

C

D

2

45ABCABC=90AB=BCl1l2l3l1l22l2l33AC

A

B

C

D

7

46labcac511b

A

4

B

6

C

16

D

55

47ABCDABADABEADFCBAEGGAECECFEF

CDFEBCCDF=EAFECFCGAE

A

B

C

D

48PABCDPPMNBMDN

A

BMDN

B

BMDN

C

BM=DN

D

49EFABCDACAE=CFDEBF

A

1

B

2

C

3

D

4

50ABCDECDAEBCF

A

6

B

5

C

4

D

3

51ABCDEAEBEDEAAEDEPAE=AP=1PB=

APDAEBBAE

EBEDSAPD+SAPB=1+SABCD=4+

A

B

C

D

52ABCDMNEFMNEFABCDADBCMN=EFMNEFMNEFMN=EF

A

B

C

D

53EFGHABCDABBCCDDAAE=BF=CG=DH=ABABCD

A

B

C

D

54n1cmA1A2Ann

A

cm2

B

cm2

C

cm2

D

cm2

55ABCDEFCDBCBF=CEBEAFG

A

BE=AF

B

DAF=BEC

C

AFB+BEC=90

D

AGBE

561+2+34+5

A

175

B

180

C

210

D

225

57ABCDADBCABC=90AB=BCEABBCE=15AE=ADDEACHBH

ACDACECDE=2

A

B

C

D

58ABCDAB=DCACBDO

A

2

B

3

C

4

D

5

59ABCDADBCACBDO

AC=BDACBDABCDAOBDOC

A

B

C

D

60ABCDABCDAB=2CDACBDOEFAOBOO

A

ABOCDO

B

AODBOC

C

CDOEFO

D

ACDBCD

61FABCDBCDFCDFCADECDEF

A

B

C

D

621ABCDA30ABCD

A

1-

B

1-

C

D

63ABCCACBACADEABADACFG

A

2

B

3

C

4

D

5

64ABCOACAO=3CO=6PABOPOPO60ODDBCAP

A

4

B

5

C

6

D

8

65ACDAEBCAD=EAB=90ABCD

A

ACEA90ADB

B

ACBA270DAC

C

AEACEADE

D

ADADBADE

66ABCDADBCABBCAD=3BC=5DCD90DEAEADE

A

1

B

2

C

3

D

4

67ABCDADBCABBCBCD=45AD=2BC=3CDD90EDAECEADE

A

1

B

2

C

3

D

68C=DCAB=DBAADBCO_______

69ABCA1B1C1A=110B=40C1=_______

70OADOBCO=70C=25AEB=_______

71OADOBCO=65C=20OAD=_______

72AOB=_______

73ABCAB=BCACABCABC_______

74_______

75CDABBEACDEBECDOAOBAC_______

76AE=AFB=C_______

77ABCADBACAB=AC-BDBC_______

78ABCAB=ACDBCADACDABDC_______

79OA=OBOC=ODO=60C=25BED_______

8041+2+3=_______

81ABCDEABACAD=CEBCD+CBE=_______

82RtABCC=90A=60AC=2

AACACABED

DEDEP

APBCF

1AB_______

2CAF=_______

83ABCC=90CAB=50AACABACEFEFEFGAGBCDADC_______

84ABCDEFGHNHMCabcABNEFc=_______ab

85LABCDBACL12_______

86aABCDABDDEaEBFaFDE=4BF=3EF_______

87ABCDACBDOEFADCDAE=4cmCF=3cmOEOFEF_______cm

88ABCDBlAClEFAE=1CF=3AB_______

894ABCDACDFCBEAECF_______

90BADEBD=AEBCEFABCDEF_______

91RtABCA=90AC=9OACAO=2PABOPOPO90ODDBCAP_______

92ABCDAB=CBAD=CDC=A

931

2EABCDCDFCBEAAFDE=BF

94ABC1BCDEBCADAE

21AB+ACAD+AE

95ABCDACBDOABCBAD1OA=OB2ABCD

961A1E2A2+A4E2C4+A4E5C4

97ABCDACBDO

12

98CABAD=CECD=BEACDCBE

99ADABCAEDAFD_______

AE=AF

100ACDFBE=CF

1ABCDEF_______

2ABCDEF

10188ABCEF1

1ABC=_______BC=_______

2DDEDFDEFABC

102OPAOBOA=OB

1

21

103BDCFBC=FDAB=EF

1ABCEFD_______

2ABCEFD

104ABCDBCBCFEADCFBEBDECDF

1_______

2

105ABCACB=90AC=BCCEBECEABFADCFDADFAC

106BCMANAB=AC

1

ADBCD

BCNCEADE

BE

21ABDACD____________________________

107ABCDCADEMN

108ABCDDEABDFBCADECDF

109ABCAB=ACBCDCD=BCEACCECDCDFECCGABEFGBGDE

1ACBGCD

2BCGDCE

110ECBFBE=CFABDEACB=FABCDEF

111ABCDADBCAB=DCPABCDPAPDBCEFPA=PD

1ABEDCF

2ABEDCF

112ABCDEBCACAE=CDADBEF

1ABECAD2BFD

113ADBEAD=BEA=FDEABCDEF

114DABCABCDEDCAE

115AB=ACADBCDAD=AEABDAEDEF

116A=DCFFACAEFCDF

117ABCABDBC=BDEBCFBD

1EF

2AEAFABC=ABDABEABF

118ABCDBE=DFABECDF

119ABCD

1CCPCPABE

21CEFAFACFAEF

120ABCDADBCA=90DBADCBECDFADECF=DF

1DEFDEF_______DEF_______

21

121ABCDCBACBDOAB=DCAC=BD

1ABCDCB

2OBC_______

122ABCDACABCAD2ABCEABACFACCDADCCBA

123EFABCDACAE=CF

1CBEADF2EBDF

12430ABCB=30C90AABCABBCMABBCNABABE

1ACMACN

2=30MEMB

125CEBFACDFAC=DFBC=EFABCDEF

126ABCDBCEABBD=BEADBCEB

1AD=CEAE=CDBAC=BCAADB=CEBADBCEB

21ADBCEB

127ABCDAEBDFCBDEF

1

21

128ABCDACADCACA1D1C1AD1BC1ABCC1D1A1

129EFGHABCDABBCCDDABEFDGH

130AD=BC

_____________________

131ABCAB=ACDEABACFBECD

132ABCDEFADCBDE=BFFEABCDHG_______

133ABCBF=ACAE=CD=ABDEFDEF

1AEFCDE2ABC

134ABCAB=ACDBCADDEABDFACEF

135ABDEAB=DE

1ABCDEF_______

2ABCDEF

136

1

ABCA1B1C1AB=A1B1BC=B1ClC=Cl

ABCA1B1C1

BB1BDCADB1D1C1A1D1

BDC=B1D1C1=90

BC=B1C1C=C1BCDB1C1D1BD=B1D1

21

137ABCDEFBCADBE=DFABECDF

138EABAC=AD______________

139ABCDEFBCADABECDF_______

140EFABCDBADCAE=CFEFADGBCH

1_____________________

21_______

141

ABCAB=ACPABCAPAAQQAP=BACBQCPBQ=CP

ABQACPBQ=CPPABCBQ=CP

142ABCDEFADCBDE=BFFEABCDHG

1_______

2AFCE11_______2_______

143

144ABC=DCB_______ABCDCB

1=2_______ABCADE

145CEADEBFADFBDFCDE_______

146CFADEADCBBACFFAC

1

2ABC

147ABCDEADBECDFDFEABE

148EFABCDBADCAE=CFEFADBCMN

______________

149ABCAB=ACAGEBCBDCFHGEEG3

150ABCDOEFAC

1_______DECBFA

2

151ABCDABEBCBD=BE

1BEABDC_______

2_______

152CDABPC=PD_____________________

153ABCDAB=CDBEFDA=C

AE=CF

154ABCABDDGBCACGGDEDE=DBAECD

1AGEDAC

2EEFDCBCFAFAEF

155ABCDCBEBC=BEADFBEF

156ABDEAB=DEAF=DC

157AB=ACDBCABDAEAEBEEAD=AE

158ABCAB=ACBDACCEABBD=CE

159BFCEABBEBDEBEEAB=DEAC=DF

_______

160ABCDBCDEABDFACEFBE=CF

1

2

1611ABCDACDABDAB=60BDAB+AD=ACABCD

1B=D2AB+AD=AC

213CABADEF

162ABCFDECFBEAB=DEABCDEF

_______

163BEADCFADBE=CFADABC

164ABCACB=90AC=BCMNCADMNDBEMNEDE=AD+BE

165ABClABlDE

166ABCABC=45ADBCDEADDE=CDBE=AC

167ADBCA=90BBCADEBECCFBEFAB=FC

168BFCEADBEABDEACDFBF=CE

AC=DF

169ABDACAD=ACBD=BC

170CABCDACECEBCDCD=CE

1ACDBCE

2D=50B

171AOBCODAOB=COD=90DAB

1AOCBOD

2AD=1BD=2CD

172RtABCRtADEABC=ADE=90BCDEFCDEB

1

2CF=EF

173ACDBCEACD=BCE=90AECDFBDCEAEGHAEBD

174BECFAB=DEA=DACDF

1ABCDEF2BE=CF

175CABCE=CDACD=BCEAE=BD

176AEFCADBCAD=CBAE=CFBE=DF

177ABCDBE=CFAF=DE

178BAC=ABD

1OC=OD______________2

21OC=OD

179EFBCBE=CFA=DB=CAFDEO

1AB=DC

2OEF

180ABCDAB=DCAEDFAE=DF

EC=FB

181AEBDAE=DBAC=DFACDFBCEF

182ABCDEAADFDADAE=DFAB=DC

ACE=DBF

183ACBDOABDCEOBFOCEF

1A=DOEF=OFEAB=DC

2A=DOEF=OFEAB=DC121_______2_______

184ABCDEADCEBAF

FA=AB

1851=2AO=BOAC=BC

186ABEAB=AEAD=ACBAD=EACBCDEO

1ABCAED2OB=OE

187CFBEA=DACDFBF=EC

AB=DE

188BAC=ABDAC=BDOADBCEABOEAB

189ACBAD1=2AB=AD

190ABCDEFAB=DEBE=CFB=1

AC=DF

191ABCDAB=BCBFABCAFDCACCFCADCF

192EFABCDACBEDFAF=CE

193ABCACB=90CDABDEACCE=BCEACCDF

AB=FC

194ADBCOCAB=DBAAC=BD

1C=D2AOCBOD

195ABCDADBCBC=DCCFBCDDFABBFDCE

1BFCDFC

2AD=DE

196ABCDOAO=BOACDBAC=BD

197ABCDADBCAB=DCMADMADMMB=MC

198AD=BCAC=BDOD=OC

199AABCDAB=BCAD=CDA=C

BABCDAB=BCA=CAD=CD

200ABCC=2BADABC1=B

AB=AC+CD

20112AB=ACAE=ADBAC=EAD=90BCEDC

12ABE2DCBE

202ABCDACBDO1=23=4

1ABCADC2BO=DO

203ACDEBCEFAC=DEAF=BD

204RtABCB=90BCAB

1BCPBP=BABPACBDPEDE

2ADBDDEPE23

205DABDFACEAE=ECCFAB

AD=CF

206CEBFACDFAC=DFBC=EF

AB=DE

207BEFCAB=DCBE=CFB=COA=OD

208ABCDABCCDEADCABFAFCE

209AB=ADAC=AEBAD=CAE

BC=DE

210CBEADBEABEDAB=CEBC=EDAC=CD

211OABCABACOB=OC

11OBCAB=AC

22OABCAB=AC

3OABCAB=AC

212ABCDEFADBC

1ABECDF

2BE=DF

213ABCDAB=ADBC=DCEACAEBEDE

214GABACDGEABCBFACFADBCAD=BCABC=2ADGDE=BF

215ADBCOOA=ODOB=OCABCD

2161=2C=DAC=AD

217EBC1=2AE=DEAB=DC

218

ABCDAB=ADBC=DCACBDO

1ABCADCOB=ODACBD

2AC=6BD=4ABCD

219ABCDABDFACEDE=FEAE=CEABCF

220ABCDDEFGAECG

1AE=CG

2AECG

221ABCAB=ACDBCDEABDFACEFDE=DF

_______

222ABCDEBCABBD=AEADCEF

1AD=CE2DFC

223AEBDABCDEFAB=DEAC=DFACDF

1ABCDEF

2_______

224ACBDO

1OA=OC2OB=OD3ABDC

225RtABCACBCRtABCACEBCFBEAF

BE=AF

226AB=ADAC=AE1=2BC=DE

227OPAOCBODOA=OCOB=ODAB=CD

228ADFBAD=BFAE=BCAEBC1AEFBCD2EFCD

229ADFBCEA=BDEFC-AD=BCDE=CFBEAF

1

21

230ACBDEABCDBE=DEAB=CD

231DCBFABEFA=EBC=DFAB=EF

232MNABCDABDCDAN=BCM

233OABCDACOABCDMNEFMNOE=OF

1

2MAE=NCF

234EFBCBE=CFAB=DCB=CAF=DE

235RtOABAOB=90RtEOFEOF=90AEBF

1AE=BF2AEBF

236ABCDABCDA=BEABDE=CEAE=BE

237ABDACE

1AB=AC2AD=AE31=24BD=CE

238ABCDEADBECDF

1CD=DF

2AD=2CD

239ABCABDADBCO1=2AC=BD

240AB=DCAC=DB1=2

2411=2C=DAC=BD

242BEACECFABFBECFDBD=CDAE=AF

243AEFC

1AD=BC2AE=CF3B=D4ADBC

244ABCDE

A=CAD=CBAE=CE

1_______

2

______________

245ABCDGBCGBCAEDGECFAEDGF

12AE=FC+EF

246BFCDFB=CDABEDACFEAE

247DEABCABACBECDOAB=ACOB=OCABE=ACDBE=CD

1

____________________________

2

248CAOBACBC_______AC=BC

249ABCABDAD=BCC=D1=2

1______________

2______________

2501BE=CF2B=C3AE=AF4E=F=90

2511=2AB=ACBD=CD

252ABCDEFBCCDCE=CFAE=AF

253ABCDPBCQCDPBDQMBPCQECPDQFPM=QM

254ABEDFCADAB=DEAF=DCBC=EF

255ABCDCAAMMAMBCEMBMD

1BE=DC2MBE=MDC

256ABCEBCDAE

ABD=ACDBDE=CDEBD=CD

257AD=BC AC=BD CE=DE D=C DAB=CBA

258ABCAB=ACOBCODABDOEACEAD=AE

259AB=ACAE=ADDEABAC

B=C

260ABCDEFBECF

AB=DEAC=DFABC=DEFBE=CF

261ABCFACEABDEFA=ACDCDAE

262AB=DCAC=DBA=D

263ABCDACBDOADC=BCDAD=BCAO=BO

264ABCDACBDO

1

21

2651=2BD=BC3=4

2661DEABDFACEF

AB=ACBD=CDBE=CF

DEABDFACEF_______=______________=_______

2EGAF

AB=ACDE=DFBE=CF

EGAF_______=______________=_______

267AD=BCD=CACBDEAC=BD

268RtABCRtADEABC=ADE=90

269ABCDABCADCEFACGHAH=CG

270DABCABABFCDFACEDE=EFAE=CE

271CAB=DBAAC=BD

1AD=BC2SAOC=SBOD

272ABCDEFBCCAABDEF

1

2

273ABC

274ABCDAD=2ABEADEEABBCMNBMCN

275OOCAABB

276PBACPEABPFACEFAE=AF1PE=PF2PBAC

277ABCABACBACBCDDDEABDFACABACEFEF

1EFAD2DEACDE=1AD

278ABCADBACBD=CDDEDFABACEF

1

2

3

279ABCDADBCECDAEBEBEAEAEBCF

1FC=AD2AB=BC+AD

280ABCAB=ACBAC=40ABACABDACEBAD=CAE=90

1DBC

2BD=CE

281ABCAB=BCABC=90FABEBCBE=BFAEEFCF

1AE=CF

2CAE=30EFC

282ABCAB=ACDEBCBD=CE

AD=AE

283RtABCC=90BBECABDADABDAB

284DEABCBCBD=CEADE=AED

285ABCDABCABCACADBCOBB

1

2ABOCDO

286ABCEABDBCBD=BEBAD=BCEADCEFAFC

287OABAC1=2ABC

288ABCDADBCAB=CDEBCAEDE

ADE

2893060ADEABCEACBDBDMMEMCEMC

290PABCAPB=BPC=CPA=120PABC

ABCACBBBBBABCPBB=PA+PB+PC

291EFGABCABBCAC

1

2

292ABCDABCD

1CDBDBDE

2AECD=AE

293PABCPAPBPCBPPBQ=60BQ=BPCQ

1APCQ

2PAPBPC=345PQPQC

294ABCDADBCAB=AD=DCEBCDEABADE

295ABCDEFABBCCA

1AD=BE=CFDEF

2DEFAD=BE=CF

296ABCDABDCDCDCDCEDCFEDCFDCAEBF

11DABAEBFAB

22DABAEBFAB

3DAB3AEBFAB

297ABCDACDB=BCECDFAB

1EF=AB

2AAGEFBEGABEAGE

298RtABCRtBADABAC=BDBCADE

1AE=BE

2AEC=45AC=1CE

299ABCA=90AB=ACDBC

1EFABACBE=AFDEF

2EFABCABE=AFDEF

300RtABCACB=90A=30CDABABECD=ACDFBCABACGF

1GE=GF

2BD=1DF

301ACBECDACB=ECD=90DAB

1ACEBCD

2AD=5BD=12DE


1ACEBCD

2AD2+DB2=DE2

303ACBECDACDBDAEAEBDF

1ACEBCD

2AEBD

3045AB311

305

1

1aba+b22

2

BC=a+bAD=_______

ABCDBC_______AD_______

30611

22RtABCRtCDEB=D=90BCDACE=90

3Garfield18812012187641

307ABCDEFBDBE=DF

1ABECDF2AECF

308ABCDEAD

309ABCDEFACAE=CF

ADF=CBE

310EFABCDACBEDF

1ABECDF21=2

311ABCDEFBDBE=DF

1

2

312EFABCDADBCAF=CE

313ABCDACEFAE=CFAFD=CEB

314ABCDEFGHABBCCDDAAE=CGBF=DH

AEHCGF

315ABCDBDOEFDAABDCBCEMNF

1______________

21

316ABCDBAD=32BCCDBCEDCFBE=BCDF=DCEBC=CDFABECGGECAEAF

1ABEFDA

2AEAFEBG

317ABCDAD=2BEACDEACFBEE

1EF=DF

2AC=2CFADC=60ACDCDE

318ABCDOOADEBCFOE_______OF=

319PABCDCDBPADEPDCDABEDPEABEDPE

320ABCDOBDOADBCEFAE=CF

321ABCDEFABCDAFCE_______ADFCBE

322ABCDBDAEBDCFBDEF

AE=CF

323EFABCDACAE=CF1ADFCBE2EBDF

324ABCDEFABCDAE=CFBFDEADECBF

325ACABCD

1

ACACACPQPQPQABACCDEOF

2AE=CF

326ABCDBDAAEBDECCFBDFAE=CF

327ABCDEBCDEABFCD=BF

328ABCDEFAC_______AE=CFDFBEBE=DF

329ABCDAEBDCFBDEFBAE=DCF

330ABCDEFACEBFDEBA=FDCBEDF

331ABCDEFABCDDAF=BCE

1DAFBCE

2ABC=60ECB=20ABCBNAFMADNAMN

332ABCDBDAEBDECFBDFBE=DF

333ABCDACEF

1

2AE=CF

334ABCDBEACEDFACFAE=CF

335ABCDAB=2BCEDCAEBCFF=FAB

336ABCDECDAEBCFSABF=SABCD

337ABCDEBCAB=AE

1ABCEAD

2AEDABEAC=25AED

338EFABCDACBEDF

1ABECDF

21=2

339ABCDEFBDBE=DF

1

2

340EFABCDADBCAF=CE

341ABCDACEFAE=CFAFD=CEB

342ABCDEFGHABBCCDDAAE=CGBF=DHAEHCGF


1______________

21


1ABEFDA2AEAFEBG


1EF=DF

2AC=2CFADC=60ACDCDE

346ABCDOOADEBCFOE_______OF=

347PABCDCDBPADEPDCDABEDPEABEDPE

348ABCDOBDOADBCEFAE=CF

349ABCDEFABCDAFCE_______ADFCBE

350ABCDBDAEBDCFBDEF

AE=CF

351EFABCDACAE=CF1ADFCBE2EBDF

352ABCDEFABCDAE=CFBFDEADECBF

353ACABCD

1

ACACACPQPQPQABACCDEOF

2AE=CF

354ABCDBDAAEBDECCFBDFAE=CF

355ABCDEBCDEABFCD=BF

356ABCDEFAC_______AE=CFDFBEBE=DF

357ABCDAEBDCFBDEFBAE=DCF

358ABCDEFACEBFDEBA=FDCBEDF

359ABCDEFABCDDAF=BCE

1DAFBCE

2ABC=60ECB=20ABCBNAFMADNAMN

360ABCDBDAEBDECFBDFBE=DF

361ABCDACEF

1

2AE=CF

362ABCDBEACEDFACFAE=CF

363ABCDAB=2BCEDCAEBCFF=FAB

364ABCDECDAEBCFSABF=SABCD

365ABCDEBCAB=AE

1ABCEAD

2AEDABEAC=25AED

3661ABCDACABCAD2ABCADCCBA

367ABCDEBCAE=ADDFAEFDFDF=_______

368ABCDMCD

MAB=MBA

369ABCDMCD

1ADMBCM2MAB=MBA

370EABCDBCFCDCE=CFDEBFDE=BF

371ABCD2GBCAGEFAGBEDF1=23=4

1ABEDAF

2AGB=30EF

372ABCAB=2BCABBCABEFBCMNFNEC

FN=EC

373ABCDACBDOOA1B1C1OO A1ABEOC1BCF

1AOEBOF

2aA1B1C1OO

374ABCDEFABBCAE=BFAFDE

37545HBEABCDEEFAEDCEFAEEF

376ABCDGDCGDCEFAGEFAGAF=DF+EF1=2DFBE

377ABCDEFBCCDAEFAHABEF

1EAF

2ECF

378ABCDACEACEBED

1BECDEC

2BEADFBED=120EFD

379ABCDAEFGBAG=0180

1BE=DGBEDG

2ABCDAEFG32BDDEEGGBSS

380ABCDGBCDEAGEBFAGF

1ABFDAE2DE=EF+FB

381BCEABCDCEFGBGDE

1BGDE

2BGDEHBHDE

382ABCDEABCECECECEFGDG

CBECDG

383ABCDGBCDEAGEBFDEAGF

AF=BF+EF

384ABCDCDECGFCEBEDG

1BEDG

2

385ABCDCEDFCE=10cmDF

386EABCDBDAE=CE

387RtABCC=90DEFGDACEFABGBC

1AE=BF

2BC=cmDEFG

388EABCDDCAFAAECBF

DE=BF

389ABCDEFADBCAE=CFBEDF1=2BE=DF

1_______

2

390EABCDABDDFDEBCFDE=DF

391EABCDBCAEDDGAEGDGABFBF=CE

392ABCDAAEFGFGBCHHGHB

393ABCD2EABBCFCF=AE

1ADEDCDF

2DCFDCABABHAHEDGAHEDAG

394ACABCDAEBACEFACACF

1BE_______

2BE

395ABCDAEDABDCEBEEEFBEADE

1DEF=CBE

2EB

396ABCDACBDOBE=CF

OEC=OFDCE=DF

397ABCDCDFEABEFAFDD

1ABEFBEEFGHBGEH

2BEEFGH

3981ABCDACBDOEACEBAAMBEMAMBDF

1OE=OF

22EACAMBEMDBFOE=OF

399ABCCA=CBCDEFAFBD

1AFBD

2CDEFCCDEFABC1

400EABCDADBEAAHBEHAHCDF

DE=CF

401ABCDAABADABCECDFEAFCDGEG

1BE=DF2BE+DG=EG

402ABCDACBDOOCF=OBEOE=OF

403ABCDADBCAB=CDEAD

1ABEDCE

2BEABCAD=10AB

4041

2ABCDBCADAB=DCMAD

BM=CM

405ABCDADBCEAADMAEBAE=MCEMBE=45

1BE=ME2AB=7MC

406ABCDADBCAB=CDACBDO

1

2

407ABCDABDCAD=DC=CBADBCGCEAGECFABF

14

24


1

21

409ABCDADBCAB=DCEFABDCBE=2EACF=2FDBEC=CFB

410ABCDADBCABC=90EDCEDCABPCBMFMECF=ADMF=MA

1MFC=120AM=2MB2MPB=90-FCM

4111ABCDADBCABBCDCB=75CDDCEEAB

1AED2AB=BC

32FCDFBC=30

412ABCDADBCABC=90DEACFBCGABEAE=AC

1BG=FG2AD=DC=2AB

413ABCDABC=90ADBCAB=BCEABCEBD

1BE=AD

2ACED

3DBC

414ABCDADBCEABCEDAF

1BCEAFE

2ABBCBC=4AB=6EF

415ABCBAC=2ACBDABCAD=CDBD=BADBCABC

1BAC=90

ABAC_______DAC=15DBC_______DBCABC_______

2BAC90DBCABC1

416ABCDEBCAEDE

ABEDCE

417ABCDADBCGABGGEDCBCEFECGFDCHBG=CH

418ABCDBCD=60ADBCAD=DCEFADDCDE=CFAFBEP

1AF=BE

2BPF

419ABCDADBCACBDO

1_______

2

420ABCDADBCAB=DCAD=2BC=4BCECE=AD

1BADDCE

2ACBDABCDDF

421ABCDADBCAB=DCACBDO

422ABCDADBCAB=DCAD=2BC=4BCECE=AD

1DCE

2ABCDDFACBD

423ABCDADBCDEBCEBFAEFABFCDE

1_______

2

424ABCDADBCEADDE=BC

1E=DBC

2ACE

425ABCDADBCAB=DCEBCEMABENCDMN

EM=EN

426ABCDADBCAB=CD

1ADE

2EBECABE=DCE

427ABCDABCDEFADBCDE=CF

AF=BE

428

429ABCDADBCAB=DCACBDOEBCEBCEFBDACFEGACBDG

1EFOG2 OB

2ABCDADBCAB=DCEFOG2 OB

430ABCDADBCC=60AD=CDEFADCDDE=CFAFBEPBPF

431ABCDACBBABCDE

1AED

2AB=8DE=3PACPGAEGPHECHPG+PH

432BFCD

1ABED

2PB=BC

433ABCADEEBCBAC=DAEB=DAB=AD

1ABCADE

2AEC=75ADEAABC

4341ABCDCDDEFGDEAEGC

1AEGC

2DEFGDEBC2AEGC1

435ABCDECDFCBDE=BF

1ADEABF

2ADEABF

436ABCDABDOGEFEFABMGFBDNBMFN

437ACB=90MNCCEMNEBBFMNFEA1AF+BF=2CEA23AFBFCE

438ABCBAC=90DBCDEFGACDGDEAEBG

1BGAE

2DEFGD03601

3BC=DE=22AEAF

439RtABCAC=BCC=90DABEDF=90EDFDACCBEF

1EDFDDEACE1SDEF+SCEF=SABC

2EDFDDEAC23SDEFSCEFSABC

44045RtDEFD30RtABCABA=30E=45EDF=ACB=90DEACGGMABM

1DFCCNABNAM=DN

2DFACDFBCHHNABN1

44145ABCMNKMNKMABCABMKCBC=MK=4

1ACM_______

2MNKM45MDCG_______

3MKBCMNKM_______

442ABCD1MNBCCDCMN2ANDA90ABLANMALM

4433013

1ECDl2EABCC=_______

2ECDC3EABECDC=_______

3ECDAC4EDABFAF=FD

4441PABCDACACPEBCEPFCDF

1BP=DP

22PECFCBP=DP

3ABCDPECFPECFC

4451210cm303BCFDCF36F

13ABFBD4BF

23ABFF305A1FDEGFG

33ABFAF6AB1DEHAHDH

446BODO180AOCOACBDMNMNOM=ON

447ABCABC=90PACABPB90CBQ

1PCQ

2AB=4APPC=13PQ

3PACPAPA2PC2PB2

448ABCDAnAEFGEFCDO

1

22cmAEODn

44913ABCCDECC

1ABCCDEC30CDEADBECEABF2

2BEAD

22CDECFCF1CDEPQR3

PQRxPQRAFCyyxx

450RtABCAB=BCRtADEAD=DEECECMDMBM

1DACEABB1BMDM

21ADEA4521

451AOB=90AOBOMCCOA

OBDE

1CCDOA1OD+OE=OC

2CCDOA23ODOEOC

452ABCACB=90AC=BCCOOOACCBGH

1AC=BCOA=OB=OC

2

_______=_______

453RtABCPBCPABACEFEFEPFPEABPEF

4541GEFABCDABCDGEFEFOOBD

12EFABMGFBDNBMFNBMFN

2GEF3FEABMBDGFN1

455ABCDAEFGAGEADAB1DFBF

1DF=BF

2AEFGADGBE2DGBE

456301

11A1B1CC452P1A1CABCP1=AP1

22A1B1CC30A2B2C3P2A2CABCP1P1P2

33CP1C60CP34P3P2P3P2AB

457aABCCEFCAFBE

1AFBE

2aCEFCb1

3aABCC1

4

458AD=AEAB=AC

1B=C

2A=50ADCAEB

45911BECFBC=EFABDEA=DABCDEF

22OABCB-23OABCO90OA1B1C1A1B1C1

46011ABCDEFBCCDAEBF OAOF=90BE=CF

22ABCDEHFGABBCCDDA

EFGHOFOH=90EF=4GH

3EHFGABCDABBCCDDAEFGHOFOH=90EF=4

3ABCD2GH=_______

4ABCDnGH=_______n

4611

AOBPOAOBMNPM=PNPOPAOB

AOBOAOBOM=ONPOAOBMNPM=PNPOPAOB

1

2PM=PNPMOAPNOB

462ABCDEFBEDEFBACDFO

1DEFBECDAFDDCA_______

2DEF1

3BOADBOAD

463ABCDECDACBEFDF

1

2AEAEDF

3DFBCMBMMC

464ABCDEABACDEBCADEABDCEMNDM=BDEN=CE

1AB=AC

BDCE_______

AMANMANBAC

2AB=kACk1AMANMANBAC

4651AOBCODOA=OBOC=ODAOB=COD=60AC=BDAPB=60

2AOBCODOA=OBOC=ODAOB=COD=ACBD_______APB_______

3AOBCODOA=kOBOC=kODk1AOB=COD=ACBD_______APB_______

466EDABCABCMABCMNCBE=CDDBAEP

1APD_______

2APD_______APD_______

3n

467

11ABCABACMNBM=ANBNCMBN=CMNOC=60NOC=60

22ABCDABBCMNAM=BNANDMAN=_______DON=_______

33ABCDEABBCMNAM=BNANEMAN=_______EON=_______

4n

_______

468ABCACDABCD6060AABACA

1BCCDEF1BECF

2BCCDEF21

469ABCDaGEABBCAEF=90EFCFF

1BAE=FEC2AGEECF3AEF

470ABCDBEACB=DEB=90A=D=30EABDEACF

1AF+EF=DE

2DBEB0601

3DBEB601801AFEFDE

471ABCAB=ACDBCBCADADADEAD=AEDAE=BACCE

11DBCBAC=90BCE=_______

2BAC=BCE=

2DBC

DBC

4721123ABCABACABCBECDO

1ABEADC

1BOC=_______2BOC=_______

3BOC=_______

24ABADABABCnACAEACABCnBECDO

4BOC=360nn

4

473ABCCHPCHAPBCEBPACF

1CAE=CBF

2AE=BF

3AEBFABABGEFGABCABGSABCSABGPSABC=SABGACB

474AB=ACACEDEBCABGD

1CE=BDGE=GD

2CE=mBDmGEGD

475MABCDABEABMNDMCBEN

1MD=MN

2MABMABMD=MN

476ABCABC=45CDABDBEABCBEACECDFHBCDHBEG

1BF=AC

2CE=BF

3CEBG

477CDBCACCA=CBEFCDBEC=CFA=

1CDBCAEFCD

1BCA=90=90

BE_______CFEF_______|BE-AF|=

20BCA180BCA_______

23CDBCA=BCAEFBEAF

47831523233612

ABCACB=90AC=BCMNCADMNDBEMNE

1MNC1

ADCCEBDE=AD+BE

2MNC2DE=AD-BE

3MNC3DEADBE

47911ABCDMBCBCPBCNDCPAMN=90AM=MN

ABAE=MCMEABCDB=BCD=90AB=BCNMC=180-AMN-AMB=180-B-AMB=MAB=MAE

21ABCDABC2NACPAMN=60AM=MN

31ABCDnABCDXAMN=_______AM=MN

480ABCABACABEACDMBCDEAM

13

21

ACM180

BAC=90

ABCABACABEACDDEAM

48111ABCABACABDEACFGEGABCAEG

22ab

482ABCD1GCDGCDCGABCDGCEFDEBGH

1BCGDCEBHDE

2GBHDE

4831RtABCRtEDFACB=F=90A=E=30EDFABDDEDFACMK

123CDF=060AM+CK_______MK=

4CDF=30AM+CK_______MK

240CDF60AM+CK_______MK

3MK2+CK2=AM2CDF

484OPAOBOP

1ABCACBB=60ADCEBACBCAADCEFFEFD

2ABCACB11

485ABCDAB=BCABC=120MBN=60MBNBADDCEF

MBNBAE=CF1AE+CF=EF

MBNBAECF23AECFEF

486ABCBDCBDC=120D60ABACMNMN

BMMNNC

1321

105

AN=NCDMAC

MNABCABMMNNC

487ABCAB=AC=10cmBC=8cmDAB

1PBC3cm/sBCQCACA

QP1sBPDCQP

QPQBPDCQP

2QCPBABCPQABC

4881ABCSD1E1F1ABCAD1=BE1=CF1=ABD1E1E1F1F1D1D1E1F1AD1F1S1=SD1E1F1S1=S

1D2E2F2ABCAD2=BE2=CF2=AB2

D2E2F2

SAD2F2S2S2=_______SD2E2F2S2S2=_______

2

DnEnFnABCADn=BEn=CFn=ABnDnEnFn_______

SADnFnSnSn=_______SDnEnFnSnSn=_______

48945MNKACBMNKMABCABAC=BC=a

11ACM______________

21MNKM452______________

3MNKM123

490OABCBOCC60ADCODAOB=110

1COD

2=150AOD

3AOD

491

1

21O00A30B04OAOBOAMB

32ABCB60DBEADDCDCB=30DC2+BC2=AC2ABCD

492OA01x=1xBPABPCPOx=1CPMNxyMx=1N

1COPMPCN

2CAPmPOBCSSmm

3PABCx=1PBCPBCP

4931xOy2OABBAxOCACOC=ACC=120PQAOQ1OCCP3AOB

1OPQStt

2OABADOCDD

32MCN=60OBABMNMNMCNC060MNOBABBMN

4941ABCBClACBCAC=BCEFPFPlEFACEF=FP

11ABAP

2EFPl2EPACQAPBQBQAP

3EFPl3EPACQAPBQ2BQAP

495aEBF=90

1BEBFACBCAB2BCACABC

2ABMAM=BCCBNCN=BMANCMP

1APM_______1

2APM

3BCAB2BCAB2BCbAPM

496MANBMABNBACClMANBDE

11lMAADBEAB

22lMADEAB1

3lMADEAB1ADBEAB

497ABCAB=ACCGBABAG1FACB

11BFCGBFCG

2AC2ACBCDDDEBAEDEDFCGDE+DFCG

32AC3FACFC2

498ABCDEFABACBCMBCDMNMDMN

11MBENMFFNE

22MBC1ENMF2

3MC31ENMF

499

MNABCBCCABM=CNAMBNQBQM=60

1

21

BM=CNBQM=60

MNBCCABQM=60

MNABCBCCAMNABCDBCCDBQM=60

_____________________

5001ABCADEMNEBCDCD=BEAMN

1ADEA2CD=BE

2ADEA3AMNAB=2ADADEABCAMN

5011RtABCAB=ACDEACAD=ECAMBDMAMBCNBDNEFDEF

13

21

1BADBABA90

2KBDAKNCACKN2

3DEACDEF

50213BACDCEBCGFCDHNAEM

11EACNGMCFM=MHFMMH

21CEC2FMH

32CE3FMH

5031ABEDCDEAB=2AD

1ABC

21ABCCDEMN2ADBEMNADBEDE

32ABCCDEMN3ADBEMNADBEDE

504

A1A0B1=A1A0A23456

13=_______4=_______5=_______

21-4A0HA0H

nA0A1A2An-1nA0B1B2Bn-1A1B1A0B1B2Bn-1A00

3n34n

4nA0H

505ABCDABBCADEBCFEF

1DEABMEM

2EFBCAB

3ABBCABBCEFBCAB

506ABCDABEMBDBBMB60BNENAMCM

1AMBENB

2MAM+CM

MAM+BM+CM

3AM+BM+CM

507ABCDODBPDBPEBCEPFDCF

1POAPEF

2PDBDOB1

3PDB1

5081ABCDEBCAEF=90EFDCGCFFAE=EF

ABMMEAM=ECAMEECFAE=EF

12EBCEBCBCAE=EF

23EBCCAE=EF

509ABCDFCDAFBDEBCG

1ADECDE

2CCHCEFGHFH=GH

3AD=1DF=xxECGx

5101ABCDACBDEAFBACBDF

1EF+AC=AB

2C1CCBBBA1ABAC1A1C1A12A1F1BA1C1BDF1F1F1E1A1C1E1E1F1A1C1AB

32A1E1=3C1E1=2BD

511ABCDEADMNABABCDMNBEMNOOOPBEABCDPQ

1EADAEMPNQAEMP+NQ

2EDAAEMPNQ

3BNADDGHEDHHGAEMPNQ

512ABCDO

1ABCDOAOBBOCCODDOAS1S2S3S4S1S2S3S4



4ABCDOBAC=BDCAOBBOCCODDOAS1S2S3S4S1S3S2S4ABCDS

513ABCDPCDPABDBEPADFPAEF

1BEDFEFPDCPCD

21

514ABCD

11GBCBCAGBFAGFDEAGEABFDAE

21EFAFBF_______

32GCDCDAGBFAGFDEAGE_______EFAFBF_______

5151ABCDEFGHEFGHP

1AG=AEAF=AH

2FAH=45AG+AE=FH

3RtGBF1EPHD

51611PQRSMNQRRSQM=RNPNSMOPOM=_______

22ABCDABCDBC=CDABC=60

517MON=90MONAOCDACOMONB1ONMONAB1C1D1

1D1DD1DA=90

2CC1C1CN

3ONB2AB2MONAB2C2D212

518ABCD

11EADBEOBEABGCDHBE=GH

22ABCDADBCEFABCDGHEFGH

3OABCDO3ABCDOmnmADBCEFnABDCGH

519ABCDMABDEABEABCBMBFF

11EAB

DEEFDEEF_______

EADNNEBF_______

22EABADNNE=BFDEEF

520CGEFCEABCDBCCGBCAEM

MDMF

13

21

1075

DMCENAD=NECGEF6C45CF=2AD

CGEFCMDMF

5211

ABCDEADABEBEGBEGABCDBGDCFGF=DF

21DC=2DF

31DC=nDF

522ABCDEBDEEFBDBCFDFGDFEGCG

1EG=CG

2BEFB45DFGEGCG1

3BEFB1

5231ABCDABPABAPAPEFBEDEBE=DEBP=DFBPDF2APEFA090

1

2APEFAPEFADGAG=4

5241ABCAB=BC=1ABC=9030DEFDACDEDFDEFD

11DEABMDFBCNDM=DNDEFABCDMBNDMBN

22ABDEMBCDFNDM=DN

33FDBCNEDABMDM=DN

500

1ABCDEFBE=4AE=1DE

A

5

B

4

C

3

D

2

ABCDEFDE=ABBE=4AE=1DE=AB=BE+AE=4+1=5

A

2ACBACBBCB=30ACA

A

20

B

30

C

35

D

40

ACBACBACB=ACBACA+ACB=BCB+ACBACA=BCBBCB=30ACA=30

B

3E=F=90B=CAE=AFEM=FNCD=DNFAN=EAMACNABM

A

1

B

2

C

3

D

4

AEBAFCAAS

FAM=EAN

EAN-MAN=FAM-MANEAM=FAN

E=F=90AE=AF

EAMFANASA

EM=FN

AEBAFCB=CAC=AB

CAB=BAC

ACNABM

CD=DN

C

4AB=ACADCAEB

A

B=C

B

AD=AE

C

ADC=AEB

D

DC=BE

AB=CASAA

BAD=AESASB

CADC=AEBAASC

DDC=BESSAD

D

5AOB=AOB

A

SSS

B

SAS

C

ASA

D

AAS

OOAOBCD

OOAOOCOAC

CCDD

DOB

AOBAOB

OCDOCD

OCDOCDSSS

AOB=AOB

SSS

A

6AOBOOAOBCDCDCDPOPOCPODP

A

SAS

B

ASA

C

AAS

D

SSS

OOAOBCDOC=OD

CDCDPCP=DP

OCPODP

OCPODPSSS

D

7AB=ADABCADC

A

BCA=DCA

B

BAC=DAC

C

B=D=90

D

CB=CD

ABCA=DCAABCADCA

BBAC=DACSASABCADCB

CB=D=90HLABCADCC

DCB=CDSSSABCADCD

A

8ABCDEFGHABCACDEFGEGHACB=CAD=EFG=EGH=70BAC=ACD=EGF=EHG=50

A

B

C

D

ACB=CAD=70BAC=ACD=50AC

ABCACD

EHGEGH=70EHG=50EHEG

EFG=EGH=70EGF=EHG=50

EFGEGH

B

B

9ABCDECDAEBDFCF

A

1

B

2

C

3

D

4

AD=CDADB=CDB=45DF=DF

ADFCDF

ABFCBF

AD=CDAB=BCBD=BD

ABDCBD

3

C

10PABABC=ABDAPCAPDAPCAPD

A

BC=BD

B

AC=AD

C

ACB=ADB

D

CAB=DAB

ABC=BDBPCBPDAPCAPD

BAC=ADAPCAPD

CACB=ADBABCABDAPCAPD

DCAB=DABABCABDAPCAPD

B

11ABCDEFAB=DEABCDEF

A

B=EBC=EF

B

BC=EFAC=DF

C

A=DB=E

D

A=DBC=EF

AB=EBC=EFSASA

BBC=EFAC=DFSSSB

CA=DB=EASAC

DA=DBC=EFSSAD

D

12

A

B

C

D

SSSSASAASASAHL

AAASASAA

BSSAB

CSSSC

DSSSD

B

131=2AC=ADAB=AEBC=EDC=DB=EABCAED

A

4

B

3

C

2

D

1

1=2AC=AD1=2BAC=EAD

AB=AESASABCAED

C=DASAABCAED

B=EAASABCAED

BC=EDSSA

ABCAED

B

14ABCDOACBDAOD

A

ABC

B

ADC

C

BCD

D

COB

ABCDADBC

DAO=BCOADO=CBOAD=BC

AODCOBASA

D

15ABCDABBCAECFBADBCDBDAECFGH

A

3

B

4

C

5

D

6

AD=CBAB=CDBAD=DCBABC=CDA

BAE=DAE=DCF=BCF

ABDCDBABECDF

ABGCDHADGCBHBGEDHF

5ABDCDBSSSABECDFASA

ABGCDHASAADGCBHASABGEDHFAAS

C

16ABCDACBDO

A

1

B

2

C

3

D

4

ABCD

AD=BCAB=CDAO=COBO=DO

AOB=CODAOD=COB

ABOCDOADOCBOASA

BD=BDAC=AC

ABDCDBACDCABSAS

D

17ABCDEF

1AB=DE 2BC=EF 3AC=DF 4A=D

5B=E 6C=F

ABCDEF

A

152

B

123

C

461

D

234

ASAS

BSSS

CAAS

D

D

18ABCFEDC=DB=E

A

AB=ED

B

AB=FD

C

AC=FD

D

A=F

C=DB=E

CDBEAF

ACFD

AC=FDABCFED

C

19

A

B

C

D

A

B

CASA

D

C

20ABCABC

A

B

C

D

ABC

ABC

ABCSASABCAAS

D

21ACBDABCDDDEACBCEABC

A

1

B

2

C

3

D

4

ABCADCABCADCSAS

ABCDBCABCDBCSAS

ABCABDABCABDSAS

DEACACB=DEC

ABCDCEABCDCEAAS

D

22ABCADBCCEABDEADCEHEH=EB=3AE=4CH

A

1

B

2

C

3

D

4

ABCADBCCEAB

AEH=ADB=90

EAH+AHE=90DHC+BCH=90

EHA=DHC

EAH=DCH

BCEHAEAEHCEBAASAE=CE

EH=EB=3AE=4CH=CE-EH=AE-EH=4-3=1

A

23ABCACB=90AC=BCCDABDEBCDE

A

2

B

3

C

4

D

5

ACB=90AC=BCCDABCD=CD

CADCBDHL

CDEBDE

A

24441+2+3+4+5+6+7=

A

330

B

315

C

310

D

320

4=90=4517

1+7=90

2+6=903+5=904=45

1+2+3+4+5+6+7=390+45=315

B

25OA=OBOC=ODO=50D=35AEC=

A

60

B

50

C

45

D

30

AODO=50D=35

OAD=180-50-35=95

AODBOCOA=OBOC=ODO=O

AODBOC

OBC=OAD=95

OBEAAEB=360-OBC-OAD-O

=360-95-95-50

=120

AEB+AEC=180

AEC=180-120=60

A

26ABCDAD=CDAB=CB

ACBDAO=CO=ACABDCBD

A

0

B

1

C

2

D

3

ABDCBD

ABDCBDSSS

ADB=CDB

AODCOD

AODCODSAS

AOD=COD=90AO=OC

ACDB

D

27ABCBDECBDACBEFAC=BDAB=EDBC=BEACB

A

EDB

B

BED

C

AFB

D

2ABF

ABCDEB

ABCDEB SSS

ACB=DBE

AFBBFC

ACB+DBE=AFB

ACB=AFB

C

28ABCBCh1DEFDEh2

A

h1h2

B

h1h2

C

h1=h2

D

AAMBCBCMFFNDEDENAM=h1FN=h2

AMCFNEAMBCFNDEAMC=FNE

FED=115FEN=65=ACB

AC=FEAMCFNEAM=FNh1=h2

C

29ABCDCEBCEAEBDBDOAECDGACBDFOCFG

AE=BDAG=BFFGBEBOC=EOC

A

1

B

2

C

3

D

4

1ABCDCEBCE

AC=BCEC=DCACB=DCE=60

ACE=BCD=120

BCDACE

BCDACE

AE=BD

2BCDECA

GAC=FBC

ACG=BCF=60AC=BC

ACGBCF

AG=BF

3DCE=ABC=60DCAB

ACB=DEC=60DEAC=

FGBE

4

CCNAENCZBDZ

CNE=CZD=90

ACEBCD

CDZ=CEN

CDZCEN

CDZCEN

CZ=CN

CNAECZBD

BOC=EOC

D

30y=x+3ABOPABORtABOPRtABOP

A

9

B

7

C

5

D

3

P1P2P3P4P5P6P7P

P13

B

31ABCABC=45AC=4HADBEBH

A

B

4

C

D

5

ABC=45ADBC

AD=BDADC=BDH

AHE+DAC=90DAC+C=90

AHE=BHD=C

ADCBDH

BH=AC=4

B

32AEABAE=ABBCCDBC=CDS

A

50

B

62

C

65

D

68

AEABAE=ABEFFHBGFHEAB=EFA=BGA=90

EAF+BAG=90ABG+BAG=90EAF=ABG

AE=ABEFA=AGBEAF=ABGEFAABG

AF=BGAG=EF

BGCDHCGC=DHCH=BG

FH=FA+AG+GC+CH=3+6+4+3=16

S=6+416-34-63=50

A

33ABCBD=CEADBEPAPE

A

45

B

60

C

55

D

75

ABC

ABDBCESASBAD=CBE

APE=BAD+ABP=ABP+PBD=ABD=60

B

34RtAEBRtAFCBEACMCFDABCFNE=F=90EAC=FABAE=AFB=CCD=DNBE=CFACNABM

A

B

C

D

EAC=FABEAB=CAF

E=F=90AE=AFABEACF

B=CBE=CF

AEBAFCB=CAC=AB

CAB=BACACNABM

CD=DN

A

35ABDACEABACBECD

A

BE=CD

B

BECD

C

BECD

D

ABDACEBA=DAAE=ACBAD=CAE=60

BAE=DACBAEDACBE=CD

A

36ABCDEFADBCACBEDFGHABECDFAG=GH=HCEG=BGSABE=SAGE

A

1

B

2

C

3

D

4

ABCDAB=CDBAE=DCFBC=DA

EFADBCAE=CF

ABECDF

BFDEBF=EDBFDEBEDF

AE=EDAG=GHCH=HGEGAHD

AG=GH=HC

EG=DH

ABGDCHBG=DH

EG=BG

AEGESABESAGESABE=SAGE

C

37AABBOAABBOABABOABOAB

A

B

C

D

OABOAB

AO=AOAOB=AOBBO=BOOABOABSAS

A

38ABC18cmBC=8cmABCABCABC

A

7cm

B

2cm7cm

C

5cm

D

2cm5cm

1ABCBC=8cm

=5cm

2ABCBC=8cm

18-28=2cm

ABCABCABCABC

ABC25

D

391ABCABPPEACEQBCPA=CQPQACDDE

A

B

C

D

PPMBCACM

ABCPMBC

APM

PEAM

AE=EM=AM

PMCQ

PMD=QCDMPD=Q

PA=PM=CQ

PMDQCD

PMDQCDAAS

CD=DM=CM

DE=DM+ME=AM+MC=AC=B

40ABCDEBCABBD=AEADCEFDFC

A

60

B

45

C

40

D

30

ABC

BAC=ABC=BCA=60

AB=BC=AC

ABDCAE

BD=AEABD=CAEAB=AC

ABDCAE

BAD=ACE

BAD+DAC=BAC=60

ACE+DAC=60

ACE+DAC+AFC=180

AFC=120

AFC+DFC=180

DFC=60

A

414ABCADBCEFAD

A

4

B

3

C

2

D

ABCADBCBD=DCCDF=BDF=90

BDFCDF

BDECDEABDACDBEFCEFABEACE

S=SABC=

AB=4AD==2S==

C

42ACBDACEBCAEBDCDCEMNACEDCBCM=CNAC=DN

A

3

B

2

C

1

D

0

DACEBC

AC=CDCE=BCACD=ECB=60

ACE=DCB

ACEDCBSAS

AEC=DBC

DCE+ACD+ECB=180ACD=ECB=60

DCE=ECB=60

CE=BCDCE=ECB=60AEC=DBC

EMCBNCASA

CM=CN

AC=DC

DNCDCDNC=NCB+NBC=60+NBC60DN60DCDNACDN

B

43RtABCAB=ACADBCDEFCDADCE=AFAED=62DBF=

A

62

B

38

C

28

D

26

AB=ACADBC

BD=CD

BAC=90

BD=AD=CD

CE=AF

DF=DE

RtBDFRtADESAS

DBF=DAE=90-62=28

C

44ABCDEFBCCDAEFABCD

A

B

C

D

2

AB=ADAE=AF

RtABERtADF

BE=DF

CE=CF=1

x

ADF

x2+x-12=2

x=

A

45ABCABC=90AB=BCl1l2l3l1l22l2l33AC

A

B

C

D

7

ADl3DCEl3E

ABC=90ABD+CBE=90

DAB+ABD=90BAD=CBE

ABDBCEBE=AD=3

RtBCEBC==

RtABCAC==2

A

46labcac511b

A

4

B

6

C

16

D

55

abc

AC=CDACD=90

ACB+DCE=ACB+BAC=90

BAC=DCE

ABC=CED=90AC=CD

ACBDCE

AB=CEBC=DE

RtABCAC2=AB2+BC2=AB2+DE2

Sb=Sa+Sc=11+5=16

C

47ABCDABADABEADFCBAEGGAECECFEF

CDFEBCCDF=EAFECFCGAE

A

B

C

D

ABEADFFD=ADBE=AB

AD=BCAB=DCFD=BCBE=DC

B=DFDA=ABECDF=EBCCDFEBC

FAE=FAD+EAB+BAD=60+60+180-CDA=300-CDA

FDC=360-FDA-ADC=300-CDA

CDF=EAF

CBE=EAF=CDF

BC=AD=AFBE=AEEAFEBCAEF=BEC

AEF+FEB=BEC+FEB=AEB=60FEC=60

CF=CEECF

ABE

CGAEGAEABG=30ABC=150CGAE

B

48PABCDPPMNBMDN

A

BMDN

B

BMDN

C

BM=DN

D

BD

PABCDPBDP

DP=BPPN=PMDPN=BPM

PM=PNPD=PBDNPBMPBM=DN

C

49EFABCDACAE=CFDEBF

A

1

B

2

C

3

D

4

ABCD

AD=BCDC=ABDCA=BACDAE=BCF

AE=CF

3ADECBFSASCDEABFSAS

ADCCBASSSSASASAAAS

C

50ABCDECDAEBCF

A

6

B

5

C

4

D

3

AEDFECBDCFDCDBA4

C

51ABCDEAEBEDEAAEDEPAE=AP=1PB=

APDAEBBAE

EBEDSAPD+SAPB=1+SABCD=4+

A

B

C

D

EAB+BAP=90PAD+BAP=90EAB=PAD

AE=APAB=ADAPDAEB

APDAEBAPD=AEB

AEB=AEP+BEPAPD=AEP+PAEBEP=PAE=90

EBED

BBFAEAEF

AE=APEAP=90AEP=APE=45

EBEDBFAFFEB=FBE=45

BE===BF=EF=

BDRtAEP

AE=AP=1EP=

PB=BE=

APDAEBPD=BE=

SABP+SADP=SABD-SBDP=SABCD-DPBE=4+-=+

EF=BF=AE=1RtABFAB2=AE+EF2+BF2=4+

SABCD=AB2=4+

D

52ABCDMNEFMNEFABCDADBCMN=EFMNEFMNEFMN=EF

A

B

C

D

MN=EFMNEF

EF=MNMH=EG

RtMHNRtEGFHL

EFG=MNH

EFG=ELM

NMH+MNH=NMH+EFG=NMH+ELM=90

MOL=90

MNEFEFEFEGEFMN=EFMNEF

MNEFMN=EF

MNEF

AMN=AGD=BFE=DHC

MN=GD=ADsinAGD

EF=HC=CDsinDHC

MN=EF

B

53EFGHABCDABBCCDDAAE=BF=CG=DH=ABABCD

A

B

C

D

CHDEBGMN3aDH=CG=a

ADEDCHDMCH

RtCDHCH=aCHDM=DHCD

DM=a

RtDMHMH=

MN=CH-MH-CN=a--=

ABCD=9a2=25

A

54n1cmA1A2Ann

A

cm2

B

cm2

C

cm2

D

cm2

45

54nn-1=cm2

C

55ABCDEFCDBCBF=CEBEAFG

A

BE=AF

B

DAF=BEC

C

AFB+BEC=90

D

AGBE

ABCDABF=C=90AB=BC

BF=CEABFBCEAF=BE

BAF=CBEBFA=BEC

BAF+DAF=90BAF+BFA=90DAF=BEC

BAF=CBEBAF+AFB=90CBE+AFB=90

AGBE

C

561+2+34+5

A

175

B

180

C

210

D

225

151+5=90

242+4=90

3=451+2+34+5=225

D

57ABCDADBCABC=90AB=BCEABBCE=15AE=ADDEACHBH

ACDACECDE=2

A

B

C

D

ACDACE

BCE=15ACE=45-15=30ECD=60CDE

AD=AEACDACECDE

EAH=ADH=45

AH=EH=DHAHDE

AH=EH=DH=x

AE=xCE=2x

CH=x

AC=1+x

AB=BC

AB2+BC2=[1+x]2

AB=x

BE=x

==

RtEBCRtEHCEC

SEBCSEHC=BEBCHEHC

=ECsin15ECcos15ECsin30ECcos30

=EC2sin30EC2sin60

=sin30sin60=1=EHCH=AHCH

B

58ABCDAB=DCACBDO

A

2

B

3

C

4

D

5

ABCDAB=DCBC=CB

ABC=DCB

ABCDCBSAS

ACB=DBC

ABD=DCA

AOB=DOCAB=CD

AOBDOCAAS

BAD=ADCAB=CDAD=AD

ABDDCASAS

3B

59ABCDADBCACBDO

AC=BDACBDABCDAOBDOC

A

B

C

D

AB=DCAD=DAAC=DBABDDCAABD=DCA

AOB=DOCAOBDOC

A

60ABCDABCDAB=2CDACBDOEFAOBOO

A

ABOCDO

B

AODBOC

C

CDOEFO

D

ACDBCD

EFAOBOAB=2EFEFAB

ABCDCDEFCDO=OFEDCO=FEO

AB=2CDAB=2EFEF=CDCDOEFO

OCDOEFO

C

61FABCDBCDFCDFCADECDEF

A

B

C

D

FE=FCCD=DE

EDF=CFD

EFDCDF

FC=DE

FE=FCCD=DE

CDEF

C

621ABCDA30ABCD

A

1-

B

1-

C

D

CDBCOOA

BAB=30DAB=60

RtADORtABOAD=ABAO=AO

RtADORtABO

OAD=OAB=30

AD=1

OD=ADtanOAD=

=21=1=

D

63ABCCACBACADEABADACFG

A

2

B

3

C

4

D

5

BCGDCEABCADCAGFAEFACEACG4

C

64ABCOACAO=3CO=6PABOPOPO60ODDBCAP

A

4

B

5

C

6

D

8

DBCOP=ODA=C=60

POD=60AOP+COD=COD+CDO=120

AOP=CDOAOPCDOAP=CO=6

C

65ACDAEBCAD=EAB=90ABCD

A

ACEA90ADB

B

ACBA270DAC

C

AEACEADE

D

ADADBADE

AAE=ABAC=ADEAC=BAD=135EACBADEAB=90

BACBDACACB180DAC

CEAC=135EAD=360-EAC-CAD=135AE=AEAC=ADEACEAD

DBAD=135EAD=360-BAD-BAE=135AE=ABAD=ADEADBAD

B

66ABCDADBCABBCAD=3BC=5DCD90DEAEADE

A

1

B

2

C

3

D

4

DDGBCGEEFADADF

EDF+CDF=90CDF+CDG=90EDF=CDG

EFD=CGD=90DE=DC

EDFCDGAASEF=CGCG=BC-BG=5-3=2

EF=2SADE=ADEF=32=3

C

67ABCDADBCABBCBCD=45AD=2BC=3CDD90EDAECEADE

A

1

B

2

C

3

D

EFADADFDGBC

CDD90ED

AD=2BC=3BCD=45

DG=CG

DE=DCDEDCCDG=EDF

CDGEDF

DF=DG=CG=3-2=1EF=GC=1

ADE21=1

A

68C=DCAB=DBAADBCO_______

CABDBA

CABDBAAAS

BC=AD

69ABCA1B1C1A=110B=40C1=_______

ABCA1B1C1

C1=C

C=180-A-B=180-110-40=30

C1=C=30

70OADOBCO=70C=25AEB=_______

OADOBCD=C=25CAE=O+D=95

AEB=C+CAE=25+95=120

71OADOBCO=65C=20OAD=_______

OADOBCOAD=OBC

OBCO=65C=20OBC=180-65+20=180-85=95

OAD=OBC=95

72AOB=_______

AOB345

AOB=135

73ABCAB=BCACABCABC_______

ABCBAC

7

7

74_______

5112

75CDABBEACDEBECDOAOBAC_______

CDABBEACDEAOBAC

ODAOEAB=CAD=AEADCAEBAB=ACOACOABCOEOBD

4

76AE=AFB=C_______

AE=AFB=CA=A

ABFACE

AC=ABCF=BE

B=CFOC=EOB

EOBFOC

2

77ABCADBACAB=AC-BDBC_______

ACAE=AB=XAB=AE

ADBAC

BAD=EAD

AD=AD

ABDAED

1=BDE=BD=CE=X

DECB=1=2C

BC=212

78ABCAB=ACDBCADACDABDC_______

1

AD=BDDC=ADADBADCADC=90C=45

2

AB=BDCD=ADB=C=DACBAD=BDA=2CCABC5C=180C=36

3645

79OA=OBOC=ODO=60C=25BED_______

OA=OBOC=ODO=60

OADOBC

D=C=25

DBE=O+C=85

BED=180-25-85=70

8041+2+3=_______

13

1+3=902=451+2+3=135

81ABCDEABACAD=CEBCD+CBE=_______

ABCA=ACB=60AC=BC

AD=CEADCCEBACD=CBE

BCD+CBE=BCD+ACD=ACB=60

82RtABCC=90A=60AC=2

AACACABED

DEDEP

APBCF

1AB_______

2CAF=_______

1C=90A=60AC=2AB=2AC=4

2AD=AEPD=PEAP=APAEPADP

CAF=30

83ABCC=90CAB=50AACABACEFEFEFGAGBCDADC_______

EF

EFAACABAC

AF=AE

AEF

EFEFG

AGEF

AGCAB

CAB=50

CAD=25

ADCC=90CAD=25

ADC=65

AGCABCAB=50

CAD=25

ADCC=90CAD=25

ADC=65

65

84ABCDEFGHNHMCabcABNEFc=_______ab

ABCDEFGHNHMCCNB+ENH=90

CNB+NCB=90ENH+EHN=90CNB=EHNNCB=ENH

CN=NHCBNNEH

HE=BNRtCBNBC2+BN2=CN2

abc

a2+b2=c2

c=

85LABCDBACL12_______

ABCD

AB=CDABM+CBN=90

AMMNCNBN

BAM=CBNAMB=CNB=90

AMBBCNAAS

BM=CN

AB

86aABCDABDDEaEBFaFDE=4BF=3EF_______

ABCD

AB=ADABC=BAD=90

ABC+ABF=BAD+DAE

ABF=DAE

AFBAED

ABF=DAEAFB=AEDAB=AD

AFBAED

AF=DE=4BF=AE=3

EF=AF+AE=4+3=7

87ABCDACBDOEFADCDAE=4cmCF=3cmOEOFEF_______cm

EFOMABM

OD=OC

OEOF

EOD+FOD=90

ABCD

COF+DOF=90

EOD=FOC

ODE=OCF=45

OFCOED

OE=OFCF=DE=3cmAE=DF=4

EF==5cm

88ABCDBlAClEFAE=1CF=3AB_______

ABCD

CBF+FBA=90AB=BC

CFBE

CBF+BCF=90

BCF=ABE

AEB=BFC=90AB=BC

ABEBCFAAS

AE=BFBE=CF

AB==

894ABCDACDFCBEAECF_______

ABCD

D=ABC=90AD=AB

ABE=D=90

EAF=90

DAF+BAF=90BAE+BAF=90

DAF=BAE

AEBAFD

AEBAFDASA

SAEB=SAFD

ABCF

AECF==16

90BADEBD=AEBCEFABCDEF_______

BC=EF

BCEF

B=E

BD=AE

BD-AD=AE-ADBA=ED

ABCDEF

ABCDEFSAS

BAC=EDF

BCEF

B=E

BD=AE

BD-AD=AE-ADBA=ED

ABCDEF

ABCDEFASA

BC=EFBAC=EDF

91RtABCA=90AC=9OACAO=2PABOPOPO90ODDBCAP_______

DDEACE

DOE+AOP=90DOE+ODE=90

ODE=AOP

OD=OPDEO=OAP=90

DEOOAP

DE=OA=CE=2

AP=OE=9-4=5

92ABCDAB=CBAD=CDC=A

BDABDCBDAB=CBAD=CDBD

ABDCBDC=A

931

2EABCDCDFCBEAAFDE=BF

1=3-2-8=-7

2FAB+BAE=90DAE+BAE=90

FAB=DAE

AB=ADABF=ADE

AFBADE

DE=BF

94ABC1BCDEBCADAE

21AB+ACAD+AE

11BD=CEDE

ABDAECBD=CEBE=CD

ADCABE

22DBCAEAFDFABGACE=FDBAEC=FBD

AECFBDCE=BDAECFBDAC=FDAE=FB

AGDAG+DGAD

BFGBG+FGFBAB+FDAD+FB

AB+ACAD+AE

95ABCDACBDOABCBAD1OA=OB2ABCD

1ABCBADCAB=DBAOA=OB

2ABCBADAC=BD

OA=OBAC-OA=BD-OBOC=ODOCD=ODC

AOB=CODCAB=ACD=

CAB=ACDABCD

961A1E2A2+A4E2C4+A4E5C4

A3E2

A3A2=A1A2A2E2=A2E2A3A2E2=A1A2E2=90

RtA3A2E2RtA1A2E2SASA3E2A2=A1E2A2

A4C4=A3C3=2A4C4E5A3C3E2SSSA3E2C3=A4E5C4

A1E2A2+A4E2C4+A4E5C4=A3E2C4+A4E2C4+A3E2C3=A2E2C4

E2C2C4A2E2C4=45

A1E2A2+A4E2C4+A4E5C4=45

97ABCDACBDO

12

1AOBCODAODCOBABDCDBADCCBA

2AOBCOD

ABCDOA=OCOB=OD

AOBCODOA=OCAOB=CODOB=OD

AOBCOD

98CABAD=CECD=BEACDCBE

CABAC=CB

ACDCBEACDCBESSS

99ADABCAEDAFD_______

AE=AF

AEDAFD

AE=AFEAD=FADAD=AD

AEDAFDSAS

EDA=FDA

AEDAFD

EAD=FADAD=ADEDA=FDA

AEDAFDASA

100ACDFBE=CF

1ABCDEF_______

2ABCDEF

1AC=DF

2ACDFACB=FBE=CFBC=EF

ABCDEFABCDEFSAS

10188ABCEF1

1ABC=_______BC=_______

2DDEDFDEFABC

1ABC=135

BC2

BC=2

2FD3=FD4=ED2=ED3=BC=

EFD3=EFD4=FED2=FED1=ABC=90+45=135

EF=AB=2

FED1FED2EFD3EFD4ABC

102OPAOBOA=OB

1

21

1APOBPOADOBCOOCPODPACPBDP

2APOBPO

OPAOB

AOP=BOP

OP=OPOA=OB

APOBPOSAS

103BDCFBC=FDAB=EF

1ABCEFD_______

2ABCEFD

1B=FABEFAC=ED

2B=F

ABCEFDABCEFDSAS

104ABCDBCBCFEADCFBEBDECDF

1_______

2

1BD=DCDBCFD=EDCF=BE

2BD=DC

CFBE

FCDEBD

BDECDF

BDECDFASA

105ABCACB=90AC=BCCEBECEABFADCFDADFAC

ADCADFADCCEB

ADCADF

ADFACCAD=FADADCFADC=ADF=90

ADCADFADCADFASA

106BCMANAB=AC

1

ADBCD

BCNCEADE

BE

21ABDACD____________________________

1

2ABEACEBDECDE

3ABEACE

AB=ACADBC

BAE=CAE

ABEACE

ABEACESAS

BDECDE

AB=ACADBC

BD=CD

BDECDE

BDECDESAS

107ABCDCADEMN

ABNAEM

ABCD

AB=DCB=C=DAB=90

NCDMNAEM

AE=CDE=D=90EAN=C=90

AB=AEB=E

DAB=EAN

BAN+NAM=EAM+NAM

BAN=EAM

ABNAEM

ABNAEMASA

108ABCDDEABDFBCADECDF

ADECDF

ABCDA=CAD=CD

DEABDFBCAED=CFD=90ADECDFAAS

109ABCAB=ACBCDCD=BCEACCECDCDFECCGABEFGBGDE

1ACBGCD

2BCGDCE

1ACB=GCD

AB=AC

ABC=ACB

CGAB

ABC=GCD

ACB=GCD

2CDFE

EFCD

ACB=GECEGC=GCD

ACB=GCD

GEC=EGC

EC=GC

GCD=ACB

GCB=ECD

BCGDCE

BCGDCE

110ECBFBE=CFABDEACB=FABCDEF

ABDE

B=DEF

BE=CF

BC=EF

ACB=F

ABCDEFASA


1ABEDCF

2ABEDCF

1ABPDCPBEPCEPBFPCEP

2ADBCAB=DC

ABCDBAD=CDAABE=DCF

PA=PDPAD=PDABAD-PAD=CDA-PDA

BAP=CDP

ABEDCFABEDCF

112ABCDEBCACAE=CDADBEF

1ABECAD2BFD

1ABC

BAE=C=60AB=CA

ABECAD

ABECADSAS

2BFD=ABE+BAD

ABECAD

ABE=CAD

BFD=CAD+BAD=BAC=60

113ADBEAD=BEA=FDEABCDEF

AC=DF

AD=BEAD+BD=BE+BDAB=DE

ABCDEFAB=DEA=FDEAC=DF

ABCDEFSAS

CBA=E


ABCDEFA=FDEAB=DECBA=E

ABCDEFASA

C=F


ABCDEFA=FDEC=FAB=DE

ABCDEFAAS

114DABCABCDEDCAE

BDCAEC

ABCEDC

BC=ACDC=ECBCA=ECD=60

BCD=ACE

BDCAEC

BDCAECSAS

115AB=ACADBCDAD=AEABDAEDEF

1ADBADCABDABEAFDAFEBFDBFEABEACD

2ADBADC

ADBCADB=ADC=90

RtADBRtADCRtADBRtADCHL

116A=DCFFACAEFCDF

FACAF=CF

A=DCFAFE=CFDAEFCDFASA

117ABCABDBC=BDEBCFBD

1EF

2AEAFABC=ABDABEABF

1BCBCMNMNBCEFBBEBDFEF

2BC=BDEFBCBDBE=BF

ABEABFBE=BFABE=ABFAB=AB

ABEABF

118ABCDBE=DFABECDF

ABCDABCDAB=CDABE=CDF

ABECDFABECDFSAS

119ABCD

1CCPCPABE

21CEFAFACFAEF

1

2FAF

AFCEAASACFAEF

CAF=EAFAASACFAEF

120ABCDADBCA=90DBADCBECDFADECF=DF

1DEFDEF_______DEF_______

21

CBFDBF

DEFCBF

ADBCEDF=BCFBECDFDFE=CFB=90

CF=DFDEFCBFASA

121ABCDCBACBDOAB=DCAC=BD

1ABCDCB

2OBC_______

1ABCDCBABCDCBSSS

2ABCDCBOBC=OCBOB=OC

OBC

122ABCDACABCAD2ABCEABACFACCDADCCBA

1AA'EC'CF2A'DFCB'E

1ABCDADBCDAC=ACB

ACB=C'AA'=CC'AA'E=C'CF=90

DAC=CAA'EC'CF

2ABCDAD=B'C'DAC=ACB

AA'=CC'D=B'=90ACB=C'A'D=B'C

DA'F=C'ECB'=DACDA'F=ECB'A'DFCB'E

123EFABCDACAE=CF

1CBEADF2EBDF

1EFABCDAC

BCE=DAF

AE=CFEC=CF+EFAF=AE+EFAF=EC

ABCDAD=BC

CBEADFCBEADF

2CBEADFDFE=FEBEBDF

12430ABCB=30C90AABCABBCMABBCNABABE

1ACMACN

2=30MEMB

1A=AAC=ACACM=A'CN=90-MCN

ACMA'CN

2RtABCB=30A=90-30=60

=30MCN=30ACM=90-MCN=60

EMB=AMC=A=MCA=60

B=B=30MEBRtMEBB=30MB=2ME

125CEBFACDFAC=DFBC=EFABCDEF

ABCDEF

ACDFC=F

ABCDEFABCDEFSAS

126ABCDBCEABBD=BEADBCEB

1AD=CEAE=CDBAC=BCAADB=CEBADBCEB

21ADBCEB

1

1AE=CDBE=BDAB=CB

ABD=CBEBE=BDADBCEB

2AASASA

127ABCDAEBDFCBDEF

1

21

1ABDCDBABECDFAEDCFB

2ABCDAB=CDAD=CB

BD=DBABDCDB

AEBDCFBDAEB=CFD=90

ABCDABCDAB=CDABE=CDF

ABECDF

AEBDCFBDAED=CFB=90

ABCDADCBAD=CBADE=CBFAEDCFB

128ABCDACADCACA1D1C1AD1BC1ABCC1D1A1

AA1D1C1CBAD1C1C1BA

AA1D1C1CB

AC=A1C1AC-A1C=A1C1-A1CAA1=C1C

A1D1=CBACB=C1A1D1

AA1D1=C1CBAA1D1C1CBSAS

129EFGHABCDABBCCDDA

BEFDGH

ABCDB=DAB=CDBC=AD

EFGHABCD

BE=DGBF=DHBEFDGH

130AD=BC

_____________________

PA=PB

PADPBC

PA=PBA=BAD=BCPADPBC

PA=PBPADPBC

131ABCAB=ACDEABACFBECD

ABEACDFAE=EADBFDCFE

1ABEACD

DEABAC

AB=ACAD=AE

ABEACDABEACDSAS

2BCDCBE

AB=ACABC=ACB

DEABACBD=CE

BCDCBEBCDCBESAS

3BFDCFE

DEABAC

AB=ACAD=AE

ABEACDABEACDSASABE=ACD

DEABACAB=ACBD=CE

BFDCFEBFDCFEAAS

AB=ACABC=ACB

DEABACBD=CE

BCDCBEBCDCBESASBDC=CEB

BFDCFEBFDCFEAAS

132ABCDEFADCBDE=BFFEABCDHG_______

ABCD

AECFDCAB

E=FEGD=AHG

AHG=FHBEGD=FHB

DE=BFEDGFBHAAS

133ABCBF=ACAE=CD=ABDEFDEF

1AEFCDE2ABC

1BF=ACAB=AEFA=EC

DEFEF=DE

AE=CDAEFCDESSS

2AEFCDEFEA=EDC

BCA=EDC+DEC=FEA+DEC=DEFDEF

DEF=60BCA=60

AEFCDEEFA=DEC

DEC+FEC=60EFA+FEC=60

BACAEFBAC=EFA+FEC=60ABCAB=BC

ABC

134ABCAB=ACDBCADDEABDFACEF

31ABDACDADEADFBDECDF

AB=ACDBCBD=DC

AD=ADABDACDSSS

135ABDEAB=DE

1ABCDEF_______

2ABCDEF

1A=DBC=EFBE=CFACB=F

2ABDEB=DEF

ABCDEFABCDEFASA

136

1

ABCA1B1C1AB=A1B1BC=B1ClC=Cl

ABCA1B1C1

BB1BDCADB1D1C1A1D1

BDC=B1D1C1=90

BC=B1C1C=C1BCDB1C1D1BD=B1D1

21

1AB=A1B1ADB=A1D1B1=90

ADBA1D1B1HLA=A1

C=C1BC=B1C1

ABCA1B1C1ABCA1B1C1AAS

2ABCA1B1C1AB=A1B1BC=B1C1C=C1ABCA1B1C1

137ABCDEFBCADBE=DFABECDF

ABCDAB=CDB=D

ABECDFABECDF

138EABAC=AD______________

CE=DECAB=DABBC=BD

ACEADEACBADB

CE=DEAC=ADCE=DEAE=AEACEADE

139ABCDEFBCADABECDF_______

BE=DF

ABCDAB=CDB=D

BE=DFABECDF

140EFABCDBADCAE=CFEFADGBCH

1_____________________

21_______

1ABCDABCD

E=FB=DEAG=FCHAE=CFAEGCFHBEHDFG

2AEGCFH

ABCD

B=DEAG=BD=FCHEAG=FCH

BADCE=FAE=CFAEGCFH

141

ABCAB=ACPABCAPAAQQAP=BACBQCPBQ=CP

ABQACPBQ=CPPABCBQ=CP

QAP=BAC

QAP+PAB=PAB+BAC

QAB=PAC

ABQACP

ABQACPSAS

BQ=CP

142ABCDEFADCBDE=BFFEABCDHG

1_______

2AFCE11_______2_______

12EDGFBHEAHFCG

EDGFBH

ABCDAECFDCABE=FEGD=AHG

AHG=FHBDE=BFEDGFBH

2EDCFBAEAFFCEEGCFHA

143

1

21

273648364864

3648

144ABC=DCB_______ABCDCB

1=2_______ABCADE

1A=DACB=DBCAB=DCABCDCB

21=2DAE=BACAE=ACAEC=ACE

1+AEC+ACE=180DEB+AED+C=180C=AED

AE=ACDAE=BACABCADE

145CEADEBFADFBDFCDE_______

BD=DCDF=DEBF=CE

CEADEBFADFBFD=CED

BDF=CDEBD=DCBDFCDE

146CFADEADCBBACFFAC

1

2ABC

1ABCCDAAEFDECDECAECAEFAEC

2CFADAC=CD

ABCDAB=BC=CD=DA

AB=BC=ACABC

147ABCDEADBECDFDFEABE

ABCDFCAB1=2

EADDE=AE3=4DFEABE

148EFABCDBADCAE=CFEFADBCMN

______________

EBNFDM

ABCDABCDB=DAB=CDE=F

AE=CFBE=DFEBNFDM

EAMFCN

ABCDABCDDAB=BCDE=FEAM=FCN

AE=CFEAMFCN

149ABCAB=ACAGEBCBDCFHGEEG3

BCFCBDBHFCHDBDACFA

BCFCBDAB=ACABC=ACB

BDCFBCF=ACBCBD=ABCBCF=CBD

BCFCBDASA

150ABCDOEFAC

1_______DECBFA

2

1AE=CFOE=OFDEACBFACDEBF

2ABCDAB=CDABCDDCE=BAF

AE=CFAC-AE=AC-CFAF=CEDECBAF

151ABCDABEBCBD=BE

1BEABDC_______

2_______

BA=BCAEB=CDBBAC=BCA

AEB=CDB

AEB=CDBBE=BDB=BBEABDC

ADFCEFAECCDA

152CDABPC=PD_____________________

A=BPA=PBAC=BDAD=BCAPC=BPDAPD=BPCPACPBDAPDBPC

A=B

PC=PDPCD=PDC

ACP+PCD=180BDP+PDC=180ACP=BDP

A=BPA=PBPACPBD

153ABCDAB=CDBEFDA=C

AE=CF

ABCD

B=D

AB=CDA=C

ABECDFASA

AE=CF

ADBC

ABCDAB=CD

ABCD

ADBCAD=BC

BAD=DCB

CBF=ADE

BAE=DCF

EAD=FCB

AEDCFBASA

AE=CF

154ABCABDDGBCACGGDEDE=DBAECD

1AGEDAC

2EEFDCBCFAFAEF

1ABC

AB=AC=BCBAC=ABC=ACB=60

EGBC

ADG=ABC=60AGD=ACB=60

ADG

AD=DG=AG

DE=DB

EG=AB

GE=AC

EG=AB=CA

AGE=DAC=60

AGEDAC

AGEDACSAS

2AEF

AF

DGBCEFDC

EFCD

EF=CDDEF=DCF

1AGEDAC

AE=CDAED=ACD

EF=CD=AEAED+DEF=ACD+DCB=60

AEF

155ABCDCBEBC=BEADFBEF

ABCD

ADBCADF=BEF

BC=BEAD=BE

AFD=BFE

ADFBEF

156ABDEAB=DEAF=DC

ABFDECABCDEFBCFEFC

ABDE

A=D

AB=DEAF=DC

ABFDEC

157AB=ACDBCABDAEAEBEEAD=AE

AB=ACDBC

ADB=90

AEEB

E=ADB=90

ABDAE

1=2

ADBAEB

ADBAEBAAS

AD=AE

158ABCAB=ACBDACCEABBD=CE

BDACCEAB

ADB=AEC=90

ABDACE

ABDACEAAS

BD=CE

159BFCEABBEBDEBEEAB=DEAC=DF

_______

BC=EFA=DACB=DFEBF=CE

BC=EF

ABBEDEBEABC=DEF=90

BC=EFAB=DEABCDEFSASAC=DF

160ABCDBCDEABDFACEFBE=CF

1

2

13ABDACDADEADFBDECDF

2BDECDF

DEABDFAC

BED=CFD=90

DBC

BD=CD

RtBDERtCDF

BDECDFHL

1611ABCDACDABDAB=60BDAB+AD=ACABCD

1B=D2AB+AD=AC

213CABADEF

1BDB=D

B=D=90

CAD=CAB=DAB=30

AB=ACAD=

AB+AD=

21AE+AF=AC

ACCFADCEAB

CE=CF

ABCD

ABCCBE

D=CBE

RtCDFRtCBE

RtCDFRtCBE

DF=BE

AB+AD=AB+AF+FD=AB+BE+AF=AE+AF=AC

162ABCFDECFBEAB=DEABCDEF

_______

C=F

ABCFDECF

ABC=DEF=90

ABCDEF

ABCDEFAAS

163BEADCFADBE=CFADABC

ADABC

BEADCFAD

BED=CFD=90

BDECDF

BDECDFAAS

BD=CD

ADABC

164ABCACB=90AC=BCMNCADMNDBEMNEDE=AD+BE

ACB=90AC=BC

ACD+BCE=90

ADMNBEMN

ADC=CEB=90ACD+DAC=90

BCE=CAD

ADCCEB

ADCCEBAAS

AD=CEDC=EB

DE=DC+CE

DE=EB+AD

165ABClABlDE

ACDCBE

CAD+ACD=90

ACD+BCE=90

CAD=BCE

ACDCBE

ACDCBEAAS

166ABCABC=45ADBCDEADDE=CDBE=AC

ABC=45ADBC

AD=BDBDE=ADC=90

DE=CD

BDEADC

BE=AC

167ADBCA=90BBCADEBECCFBEFAB=FC

ADBC

AEB=EBC

A=90CFBE

A=CFB=90

BE=BC

ABEFCBAAS

AB=FC

168BFCEADBEABDEACDFBF=CE

AC=DF

ABDEACDF

ABC=DEFACB=DFE

BF+FC=EC+CFBF=CE

BC=EF

ABCDEF

ABCDEFASA

AC=DF

169ABDACAD=ACBD=BC

ABDAC

DAB=CAB

ABDABC

ABDABCSAS

BD=BC

170CABCDACECEBCDCD=CE

1ACDBCE

2D=50B

1CAB

AC=BC

CDACECEBCD

1=22=3

1=3

ACDBCE

ACDBCESAS

21+2+3=180

1=2=3=60

ACDBCE

E=D=50

B=180-E-3=70

171AOBCODAOB=COD=90DAB

1AOCBOD

2AD=1BD=2CD

1DOB=90-AODAOC=90-AOD

BOD=AOC

OC=ODOA=OB

AOCBOD

AOCBODSAS

2AOCBOD

AC=BD=2CAO=DBO=45

CAB=CAO+BAO=90

CD===

172RtABCRtADEABC=ADE=90BCDEFCDEB

1

2CF=EF

1ADCABECDFEBF

2CE

RtABCRtADE

AC=AE

ACE=AEC

RtABCRtADE

ACB=AED

ACE-ACB=AEC-AED

BCE=DEC

CF=EF

RtABCRtADE

AC=AEAD=ABCAB=EAD

CAB-DAB=EAD-DAB

CAD=EAB

CADEAB

CD=EBADC=ABE

ADE=ABC

CDF=EBF

DFC=BFE

CDFEBFAAS

CF=EF

AF

RtABCRtADE

AB=AD

AF=AF

RtABFRtADFHL

BF=DF

BC=DE

BC-BF=DE-DF

CF=EF

173ACDBCEACD=BCE=90AECDFBDCEAEGHAEBD

AE=BDAEBD

ACD=BCE=90

ACD+DCE=BCE+DCE

ACE=DCB

ACDBCE

AC=CDCE=CB

ACEDCB

ACEDCBSAS

AE=BDCAE=CDB

AFC=DFHFAC+AFC=90

DHF=ACD=90

AEBD

AEBD

174BECFAB=DEA=DACDF

1ABCDEF2BE=CF

1ACDFACB=F

ABCDEFABCDEFAAS

2ABCDEFBC=EFBC-CE=EF-CEBE=CF

175CABCE=CDACD=BCEAE=BD

CAB

AC=BC

ACD=BCE

ACD+DCE=BCE+DCEACE=BCD

ACEBCD

ACEBCDSASAE=BD

176AEFCADBCAD=CBAE=CFBE=DF

ADBCA=CAE=FCAF=CE

ADFCBE

ADFCBESASBE=DF

177ABCDBE=CFAF=DE

ABCDAB=CDB=C=90

BE=CFBF=CEABFDCESASAF=DE

178BAC=ABD

1OC=OD______________2

21OC=OD

1

C=DABC=BADOAD=OBCAC=BD

2AC=BDOC=OD

BAC=ABD

OA=OB

AC=BD

AC-OA=BD-OBAO+OC=BO+OD

OC=OD

179EFBCBE=CFA=DB=CAFDEO

1AB=DC

2OEF

1BE=CF

BE+EF=CF+EF

BF=CE

A=DB=C

ABFDCEAAS

AB=DC

2OEF

ABFDCE

AFB=DEC

OE=OF

OEF

180ABCDAB=DCAEDFAE=DF

EC=FB

AEDF

EAC=FDB

AB=DCBC=BC

AC=DB

EACFDB

EACFDBSAS

EC=FB

181AEBDAE=DBAC=DFACDFBCEF

BCEF

AE=DB

AE+EB=DB+BE

AB=DE

ACDF

A=D

ABCDEF

ABCDEFSAS

ABC=DEF

BCEF

182ABCDEAADFDADAE=DFAB=DC

ACE=DBF

AB=DCBC=BC

AC=DB

EAADFDAD

A=D=90

AE=DF

EACFDBSAS

ACE=DBF

183ACBDOABDCEOBFOCEF

1A=DOEF=OFEAB=DC

2A=DOEF=OFEAB=DC121_______2_______

1EOBFOC

OB=2OEOC=2OF

OEF=OFE

OE=OF

OB=OC

AOBDOC

A=DAOB=DOCOB=OC

AOBDOCAAS

AB=DC

21AOBDOCOB=OCOE=OFOEF=OFE

2AOBDOC

184ABCDEADCEBAF

FA=AB

ABCD

AB=DCABDC

FEA=DECF=ECD

EA=ED

AFEDCE

AF=DC

AF=AB

1851=2AO=BOAC=BC

AOCBOC

AO=BO1=2OC=OC

AOCBOC

AC=BC

186ABEAB=AEAD=ACBAD=EACBCDEO

1ABCAED2OB=OE

1BAD=EAC

BAD+DAC=EAC+DAC

BAC=EAD

ABCAED

ABCAEDSAS

21ABCAED

ABC=AED

AB=AE

ABE=AEB

ABE-ABC=AEB-AED

OBE=OEB

OB=OE

187CFBEA=DACDFBF=EC

AB=DE

ACDF

ACE=DFB

ACB=DFE

BF=EC

BF-CF=EC-CFBC=EF

A=D

ABCDEF

AB=DE

188BAC=ABDAC=BDOADBCEABOEAB

OEAB

BACABD

BACABDSAS

OBA=OAB

OA=OB

AE=BEOEAB

EAB

OEAB

189ACBAD1=2AB=AD

ACBAD

BAC=DAC

1=2

ABC=ADC

ABCADC

ABCADCAAS

AB=AD

190ABCDEFAB=DEBE=CFB=1

AC=DF

BE=CF

BE+EC=CF+EC

BC=EF

ABCDEF

AB=DEB=1BC=EF

ABCDEFSAS

AC=DF

191ABCDAB=BCBFABCAFDCACCFCADCF

BFABC

1=2

AB=BCBF=BF

ABFCBFSAS

FA=FC

3=4

AFDC

4=5

3=5

CADCF

192EFABCDACBEDFAF=CE

ABCDADBCAD=BC

ACB=CAD

BEDF

BEC=DFA

BECDFA

CE=AF

193ABCACB=90CDABDEACCE=BCEACCDF

AB=FC

FEACEACB=90

FEC=ACB=90

F+ECF=90

CDABD

A+ECF=90

A=F

ABCFCE

ABCFCEAAS

AB=FC

194ADBCOCAB=DBAAC=BD

1C=D2AOCBOD

1ABCBAD

AC=BDCAB=DBAAB=BA

ABCBAD

C=D

2AOC=BODC=DAC=BD

AOCBOD

195ABCDADBCBC=DCCFBCDDFABBFDCE

1BFCDFC

2AD=DE

1CFBCD

BCF=DCF

BFCDFC

BFCDFCSAS

2BD

BFCDFC

BF=DFFBD=FDB

DFAB

ABD=FDB

ABD=FBD

ADBC

BDA=DBC

BC=DC

DBC=BDC

BDA=BDC

BD

BADBEDASA

AD=DE

196ABCDOAO=BOACDBAC=BD

ACDB

A=BC=D

AOCBOD

A=BC=DAO=BO

AOCBOD

AC=BD

ACDB

A=B

AOCBOD

AOCBOD

AC=BD

197ABCDADBCAB=DCMADMADMMB=MC

MADMB=MC

MBMC

ABCDAB=DC

ABCDA=D

MAD

MA=MD

AB=DC

MABMDC

MB=MC

198AD=BCAC=BDOD=OC

AB

ADBACB

ADBACB

D=C

ADOBCO

ADOBCO

OC=OD

199AABCDAB=BCAD=CDA=C

BABCDAB=BCA=CAD=CD

ABD

AB=BCAD=CD

BD=BD

ABDCBD

A=C

BAC

AB=BC

BAC=BCA

BAD=BCD

CAD=ACD

AD=CD

200ABCC=2BADABC1=B

AB=AC+CD

1=B

AED=2BDE=BE

C=2B

C=AED

ACDAED

ACDAEDAAS

AC=AECD=DE

CD=BE

AB=AE+EB=AC+CD

20112AB=ACAE=ADBAC=EAD=90BCEDC

12ABE

2DCBE

12ACDABE

ABCAED

AB=ACAE=ADBAC=EAD=90

BAC+CAE=EAD+CAE

BAE=CAD

ABEACD

ABEACDSAS

21ABEACD

ACD=ABE=45

ACB=45

BCD=ACB+ACD=90

DCBE

202ABCDACBDO1=23=4

1ABCADC

2BO=DO

1ABCADC

ABCADCASA

2ABCADC

AB=AD

1=2AO=AO

ABOADOSAS

BO=DO

203ACDEBCEFAC=DEAF=BD

ACDE

A=D

BCEF

CBA=EFD

AC=DE

ABCDFE

AB=DF

AB-BF=DF-BF

AF=BD

204RtABCB=90BCAB

1BCPBP=BABPACBDPEDE

2ADBDDEPE23

1

2BD=DE

PPFBDFDFPEPF=DE

ABD+DBC=90A+ABD=90

A=DBC

ABDBPF

ABDBPF

BD=PF

BD=DE

205DABDFACEAE=ECCFAB

AD=CF

ABCF

A=ECF

AED=CEFAE=CE

AEDCEF

AD=CF

206CEBFACDFAC=DFBC=EF

AB=DE

ACDF

C=F

ACBDFE

ACBDFESAS

AB=DE

207BEFCAB=DCBE=CFB=C

OA=OD

BE=CF

BE+EF=EF+CF

BF=CE

ABFDCE

ABFDCE

AF=DEAFB=DEC

OF=OE

AF-OF=DE-OE

OA=OD

208ABCDABCCDEADCABFAFCE

AF=CE

ABCD

AD=CBA=CADC=ABC

ADF=ADCCBE=ABC

ADF=CBE

ADFCBE

ADFCBEASA

AF=CE

209AB=ADAC=AEBAD=CAE

BC=DE

BAD=CAE

BAD+DAC=CAE+DAC

BAC=DAE

ABCADE

ABCADESAS

BC=DE

210CBEADBEABEDAB=CEBC=EDAC=CD

ABED

B=E

ABCCED

ABCCED

AC=CD

211OABCABACOB=OC

11OBCAB=AC

22OABCAB=AC

3OABCAB=AC

1OOEABEOFACF

RtOEBRtOFC

RtOEBRtOFCHL

ABC=ACB

AB=AC

2OOEABEOFACF

OE=OFBEO=CFO=90

RtOEBRtOFC

RtOEBRtOFCHL

OBE=OCF

OB=OC

OBC=OCB

ABC=ACB

AB=AC

3ABCAB=ACABAC

212ABCDEFADBC

1ABECDF

2BE=DF

1ABCD

A=CAB=CDAD=BC

EFADBC

AE=CF

ABECDF

2ABECDFBE=DF

213ABCDAB=ADBC=DCEACAEBEDE

ABCADC

AB=ADAC=ACBC=DC

ABCADCSSS

DAE=BAE

ADEABE

AB=ADDAE=BAEAE=AE

ADEABESAS

BE=DE

214GABACDGEABCBFACFADBCAD=BCABC=2ADGDE=BF

1BABBCMNMNMNPBPBFACF

2ADBCDAC=C

BFABCABC=2FBC

ABC=2ADGD=FBC

ADECBF

ADECBFASA

DE=BF

215ADBCOOA=ODOB=OCABCD

AOBDOC

OA=ODOB=OCAOB=DOC

AOBDOC

A=D

ABCD

2161=2C=DAC=AD

AB=AB1=2C=D

CABDABAAS

AC=AD

217EBC1=2AE=DEAB=DC

EBC

BE=CE

ABEDCE

BE=CE1=2AE=DE

ABEDCE

AB=DC

218

ABCDAB=ADBC=DCACBDO

1ABCADCOB=ODACBD

2AC=6BD=4ABCD

1ABCADC

AB=ADBC=DCAC=AC

ABCADC

ABCADC

BAO=DAO

AB=ADOA=OA

ABOADO

OB=ODACBD

2ABCD=ABC+ACD

=ACBO+ACDO

=ACBO+DO

=ACBD

=64

=12

219ABCDABDFACEDE=FEAE=CEABCF

ABCF

AEDCEF

AED=CEF

ADECFE

DE=FEAED=CEFAE=CE

ADECFE

A=FCE

ABCF

220ABCDDEFGAECG

1AE=CG

2AECG

1

AD=CDDE=DGADC=GDE=90

CDG=90+ADG=ADE

ADECDGSAS

AE=CG

2AECG

AECGMADCGN

ADECDG

DAE=DCG

ANM=CND

AMN=ADC=90

AECG

221ABCAB=ACDBCDEABDFACEFDE=DF

_______

BD=CDBE=CF

BD=CD

AB=AC

B=C

DEABDFAC

BED=CFD=90

BDECDFAAS

DE=DF

BE=CF

AB=AC

B=C

DEABDFAC

BED=CFD

BE=CF

BDECDFASA

DE=DF

222ABCDEBCABBD=AEADCEF

1AD=CE2DFC

1ABC

BAC=B=60AB=AC

AE=BD

AECBDASAS

AD=CE

2AECBDAACE=BAD

DFC=FAC+ACF=FAC+BAD=BAC=60

223AEBDABCDEFAB=DEAC=DFACDF

1ABCDEF

2_______

1ACDF

A=D

ABCDEF

ABCDEFSAS

2AE=DBC=F

224ACBDO

1OA=OC2OB=OD3ABDC

12SASAOBCODC=A3ABDC

23AASAOBCOD1OA=OC

13AASAOBCOD2OB=OD

ACBDOOA=OCOB=ODABDC

OA=OCAOB=CODOB=OD

AOBCODSAS

C=A

ABDC

225RtABCACBCRtABCACEBCFBEAF

BE=AF

ACEBCF

ACE=FCB=60CE=ACCF=CB

ACF=ECB=60+ACB

CEBCAF

CEBCAFSAS

BE=AF

226AB=ADAC=AE1=2BC=DE

1=2

1+DAC=2+DAC

BAC=DAE

ABCADE

ABCADE

BC=DE

227OPAOCBODOA=OCOB=ODAB=CD

OPAOCBOD

AOP=COPBOP=DOP

AOB=COD

AOBCOD

AOBCOD

AB=CD

228ADFBAD=BFAE=BCAEBC1AEFBCD2EFCD

1AEBC

A=B

AD=BF

AF=AD+DF=BF+FD=BD

AE=BC

AEFBCD

2AEFBCD

EFA=CDB

EFCD

229ADFBCEA=BDEFC-AD=BCDE=CFBEAF

1

21

1

2

BEAF

AFD=BEC

AD=BCA=B

ADFBCE

DF=CE

DF-EF=CE-EF

DE=CF

BEAF

AFD=BEC

DE=CF

DE+EF=CF+EF

DF=CE

A=B

ADFBCE

AD=BC

230ACBDEABCDBE=DEAB=CD

ABCD

A=CB=D

BE=DE

ABECDE

AB=CD

231DCBFABEFA=EBC=DFAB=EF

ABEF

ABC=EFD

A=EBC=DF

ABCEFD

AB=EF

232MNABCDABDCDAN=BCM

ABCD

AB=DCB=DAD=BC

MNABDC

BM=DN

ADNCBM

ADNCBMSAS

DAN=BCM

233OABCDACOABCDMNEFMNOE=OF

1

2MAE=NCF

14

AMOCNOOCFOAEAMECNFABCCDA

2OA=OC1=2OE=OF

OCFOAE

EAO=FCO

ABCDABCD

BAO=DCO

EAM=NCF

234EFBCBE=CFAB=DCB=CAF=DE

BE=CF

BE+EF=CF+EF

BF=CE

AB=DCB=C

ABFDCE

AF=DE

235RtOABAOB=90RtEOFEOF=90AEBF

1AE=BF

2AEBF

1AEOBFO

RtOABRtOEF

AO=OBOE=OFAOE=90-BOE=BOF

AEOBFOSAS

AE=BF

2AEBFDOBC

BCD=ACO

1OAC=OBF

BDA=AOB=90

AEBF

236ABCDABCDA=BEABDE=CEAE=BE

ABCD

EDC=AEDDCE=BEC

CE=DE

EDC=DCE

AED=BEC

ED=EDA=B

ADEBCE

AE=BE

237ABDACE

1AB=AC2AD=AE31=24BD=CE

AB=ACAD=AEBD=CE1=2

ABDACEAB=ACAD=AEBD=CE

1=2

AB=ACAD=AEBD=CE

ABDACE

BAD=CAE

1=2

AB=ACAD=AE1=2BD=CE

ABDACEAB=ACAD=AE1=2

BD=CE

1=2

BAD=CAEAB=ACAD=AE

ABDACE

BD=CE

238ABCDEADBECDF

1CD=DF

2AD=2CD

1ABCF

AEB=DEFA=EDF

ABEFDE

CD=DF

2AD=2CD

BC=CFCEBF

RtCEFRtCEB

CDEDEFABECBF

239ABCABDADBCO1=2AC=BD

1AD=BC

BC=AD2=1AB=BA

ABCBAD

AC=BD

2OC=OD

1=2

OA=OB

OA+OD=OB+OD

BC=AD

2=1AB=BA

ABCBAD

AC=BD

3C=D

2=1AB=BA

ABCBAD

AC=BD

4CAO=DBC

1=2

CAO+1=DBC+2

CAB=DBA

AB=BA2=1

ABCBAD

AC=BD

240AB=DCAC=DB1=2

ABCDCB

ABCDCB

A=D

AOB=DOC

1=2

2411=2C=DAC=BD

ABCBADAAS

AC=BD

242BEACECFABFBECFDBD=CDAE=AF

BEACCFAB

CED=BFD=90AFC=AEB=90

BDFCDE

BDFCDEAAS

DF=DEBD=CDB=C

BE=CF

AFCAEB

AFCAEBAAS

AE=AF

243AEFC

1AD=BC2AE=CF3B=D4ADBC

AEFCAE=CFB=DADBC

AD=BC

ADBC

DAC=BCA

AE=CF

AF=CE

B=D

ADFCBE AAS

AD=BC

244ABCDE

A=CAD=CBAE=CE

1_______

2

______________

1

2

2

ADECBE

A=CAED=CEBAD=CB

ADECBE

AE=CE

ADECBE

A=CAE=CEAED=CEB

ADECBE

AD=CB

245ABCDGBCGBCAEDGECFAEDGF

1

2AE=FC+EF

1AEDDFC

ABCD

AD=DCADC=90

AEDGCFAE

AED=DFC=90

EAD+ADE=FDC+ADE=90

EAD=FDC

AEDDFCAAS

2AEDDFC

AE=DFED=FC

DF=DE+EF

AE=FC+EF

246BFCDFB=CDABEDACFEAE

A=E

ABEF

B=D

ACEF

1=2

FB=CD

FB+FC=CD+CF

BC=FD

ABCEDF

A=E

247DEABCABACBECDOAB=ACOB=OCABE=ACDBE=CD

1

____________________________

2

1

2DEABCABAC

AB=ACABE=ACD

OB=OCBE=CD

AB=ACABE=ACDBAC=CAB

ABEACD

BE=CD

BCD=ACB-ACD=ABC-ABE=CBE

BOC

OB=OC

248CAOBACBC_______AC=BC

A=B

OCAOB

AOC=BOC

A=BOC=OC

OCAOCBAAS

AC=BC

249ABCABDAD=BCC=D1=2

1______________

2______________

1

2

ABCBAD

AD=BC1=2AB=BA

ABCBAD

C=D

ABCBAD

C=D2=1AB=BA

ABCBAD

AD=BC

2501BE=CF2B=C3AE=AF4E=F=90

ABEACFE=FAE=AFB=C

BE=CF

ABEACF

E=FAE=AFB=C

ABEACF

BE=CF

2511=2AB=ACBD=CD

ABDACD

ABDACDSAS

BD=CD

252ABCDEFBCCDCE=CFAE=AF

ABCD

AB=BC=CD=ADB=D

CE=CF

BE=DF

ABEADF

ABEADF

AE=AF

253ABCDPBCQCDPBDQMBPCQECPDQFPM=QM

ABCDPBCQCD

QCB=PCD=30

BC=CD

EBCFDC

EBCFDCASA

CE=CF

CQ=CD=BC=CP

PF=QE

P=Q

QME=PMF

MEQMFP

PM=QM

254ABEDFCADAB=DEAF=DCBC=EF

ABED

A=D

AF=DC

AC=DF

ABCDEF

ABCDEF

BC=EF

255ABCDCAAMMAMBCEMBMD

1BE=DC

2MBE=MDC

1AMBADBAD=90

BAE=45BAE

AB=DCBE=DC

2CMAMEMC=90

BAE=45BEA=45

MEC=45

MEC=MCE

MEC

ME=CMMEC=MCE=45

BEM=DCM=135

BE=DC

BEMDCM

MBE=MDC

256ABCEBCDAE

ABD=ACDBDE=CDEBD=CD

ADB=180-BDEADC=180-CDE

ADB=ADC

ADBADC

ABD=ACDAD=ADADB=ADC

ADBADC

BD=CD

257AD=BC AC=BD CE=DE D=C DAB=CBA

AD=BCAC=BD

DAB=CBA

AD=BCAC=BDAB=AB

ADBBCA

DAB=CBA

258ABCAB=ACOBCODABDOEACEAD=AE

AB=AC

B=C

ODABOEAC

ODB=OEC=90

OBC

OB=OC

OBDOCE

OBDOCEAAS

BD=CE

AB=AC

AB-BD=AC-CE

AD=AE

259AB=ACAE=ADDEABAC

B=C

ABEACD

BAE=CAD

AB=ACAE=AD

ABEACD

B=C

260ABCDEFBECF

AB=DEAC=DFABC=DEFBE=CF

ABCDEFBECFAB=DEAC=DFBE=CF

ABC=DEF

ABCDEF

BE=CF

BC=EF

AB=DEAC=DF

ABCDEFSSS

ABC=DEF

ABCDEFBECFAB=DEABC=DEFBE=CF

AC=DF

ABCDEF

BE=CF

BC=EF

AB=DEABC=DEF

ABCDEFSAS

AC=DF

261ABCFACEABDEFA=ACDCDAE

FAC

CF=AF

CDFAEF

CDFAEFASA

CD=AE

A=ACD

CDAE

CDAE

262AB=DCAC=DBA=D

ABCDCB

AB=DCAC=DBBC=CB

ABCDCB

A=D

263ABCDACBDOADC=BCDAD=BCAO=BO

ADCBCD

ADCBCDSAS

DAO=CBO

ADOBCO

ADOBCOAAS

AO=BO

264ABCDACBDO

1

21

1AOBAODCOBCODABCADC

2ABCADC

ACBD

AB=ADCB=CD

AC=AC

ABCADC

2651=2BD=BC3=4

ABD=180-1

ABC=180-21=2

ABD=ABC

ABDABC

BD=BCABD=ABCAB=AB

ABDABC

3=4

2661DEABDFACEF

AB=ACBD=CDBE=CF

DEABDFACEF_______=______________=_______

2EGAF

AB=ACDE=DFBE=CF

EGAF_______=______________=_______

1AB=AC

B=C

DEB=CFD=90BD=DC

BEDCFD

BE=CF

2EGAF

GEF=FEGC=FCD

DE=DF

GEDCFD

EG=FC

AB=AC

B=ACB

EGAF

B=EGB=ACB

BE=EG

BE=FC

267AD=BCD=CACBDEAC=BD

ADEBCE

ADEBCEAAS

AE=BEDE=CE

AE+EC=BE+DE

AC=BD

268RtABCRtADEABC=ADE=90

CDBECD=BE

ABCADE

AD=ABAC=AE

CAB=EAD

CAD=EAB

ABEADC

CD=BE

DBCEDBCE

ABCADE

AD=ABABC=ADE

ADB=ABD

BDF=FBD

FCE=FEC

FCE=DBF

DBCE

DBAFAFBD

ABCADE

AD=ABABC=ADE=90

AF=AF

ADFABF

DAF=BAF

AFBD

CEAFAFCE

ABCADE

AD=ABAC=AE

ABC=ADE=90

AF=AF

ADFABF

DAF=BAF

CAF=EAF

AFBD

269ABCDABCADCEFACGHAH=CG

ABCDBEDF

AD=CBDAH=BCGCBG=ADH

ADHCBGASA

AH=CG

270DABCABABFCDFACEDE=EF

AE=CE

ABFC

ADE=CFE

AEDCEF

ADE=CFE

DE=FE

AED=CEF

AEDCEFASA

AE=CE

271CAB=DBAAC=BD

1AD=BC2SAOC=SBOD

1CAB=DBAAC=BDAB=AB

CABDBA

AD=BC

2CABDBA

C=D

AC=BDCOA=DOB

CAODBO

SAOC=SBOD

272ABCDEFBCCAABDEF

1

2

1AE=BF=CDAF=BD=CE

ABCDEF

A=B=C=60EDF=DEF=EFD=60DE=EF=FD

CED+AEF=120CDE+CED=120

AEF=CDECDE=BFD

AEFBFDCDEAAS

AE=BF=CDAF=BD=CE

2AEBFCDABC120AFBDCEABC120

273ABC

ABAB

ABCABC

ABCABC

274ABCDAD=2ABEADEEABBCMNBMCN

BMCN

ABCDAD=2ABEAD

EFBCFAB=AE=EF=FC

AEM+DEN=90FEN+DEN=90

AEM=FEN

RtAMERtFNE

AEM=FENAE=EFMAE=NFE

RtAMERtFNE

AM=FN

MB=CN

275OOCAABB

AA=BB

OABAB

OA=OBOA=OB

AOABOB

AOABOBSAS

AA=BB

276PBACPEABPFACEFAE=AF

1PE=PF

2PBAC

1AP

PEABPFAC

AEP=AFP=90

AE=AFAP=AP

RtAFPRtAEP

RtAEPRtAFPHL

PE=PF

2RtAEPRtAFP

EAP=FAP

APBAC

PBAC

277ABCABACBACBCDDDEABDFACABACEFEF

1EFAD

2DEACDE=1AD

1ADEAF

EAD=DAF

DEAEDFAF

DEA=DFA=90

AD=AD

DEADFA

EA=FA

ED=FD

ADEF

ADEF

2DEAC

DEA=FAE=90

DFA=90

EAFD

1EA=FA

EAFD

DE=1

AD=

278ABCADBACBD=CDDEDFABACEF

1

2

3

1BDEDCF2BE=CF3B=C

ADBACDEABDFAC

DE=DF

BD=CD

RtBDERtDCF

BE=CFB=C

279ABCDADBCECDAEBEBEAEAEBCF

1FC=AD2AB=BC+AD

1ADBC

ADC=ECF

ECD

DE=EC

ADEFCE

ADEFCEASA

FC=AD

2ADEFCE

AE=EFAD=CF

BEAF

AB=BF=BC+CF

AD=CF

AB=BC+AD

280ABCAB=ACBAC=40ABACABDACEBAD=CAE=90

1DBC

2BD=CE

1ABD

DBA=45

AB=ACBAC=40

ABC=70

DBC=115

2ABDACE

BAD=CAE=90AB=ADAC=AE

AB=AC

AB=AD=AC=AE

ABDACE

BD=CE

281ABCAB=BCABC=90FABEBCBE=BFAEEFCF

1AE=CF

2CAE=30EFC

1ABECBF

ABECBFSAS

AE=CF

2AB=BCABC=90CAE=30

CAB=ACB=180-90=45EAB=45-30=15

ABECBF

EAB=FCB=15

BE=BFEBF=90

BFE=FEB=45

EFC=180-90-15-45=30

282ABCAB=ACDEBCBD=CE

AD=AE

AAFBCF

AB=AC

BF=CF

BD=CE

DF=EF

AD=AE

283RtABCC=90BBECABDADABDAB

A=30DAB

A=30C=90

CBA=60

BECBED

CBE=DBE=30EDB=C=90EBA=A

BE=AEEDB=90EDAB

DAB

284DEABCBCBD=CEADE=AED

ABC

AB=AC

B=C

BD=CE

ABDACESAS

ADB=AEC

ADE=AED

AAFBCF

AB=AC

BF=CF

BD=CE

DF=EF

AD=AE

ADE=AED

285ABCDABCABCACADBCOBB

1

2ABOCDO

1ABBAOCBBC

2ABCDAB=DCABC=D

AB=ABABC=ABC

AB=CDABO=D

ABOCDO

ABOCDOAAS

286ABCEABDBCBD=BEBAD=BCEADCEFAFC

AFC

BADBCE

B=BBAD=BCEBD=BE

BADBCEAAS

BA=BCBAD=BCE

BAC=BCA

BAC-BAD=BCA-BCEFAC=FCA

AF=CF

AFC

287OABAC1=2ABC

OEABEOFACF

AOBAC

OE=OF

1=2

OB=OC

RtOBERtOCFHL

5=6

1+5=2+6

ABC=ACB

AB=AC

ABC

288ABCDADBCAB=CDEBCAEDE

ADE

ABCDAB=CD

ABCD

B=CAB=CD

EBC

BE=CE

ABEDCE

AE=DE

AED

2893060ADEABCEACBDBDMMEMCEMC

EMC

MA

EAD=30BAC=60

DAB=90

EDACAB

DA=ABED=AC

DAB

MBD

MDA=MBA=45AMBD

AM=BD=MD

EDM=MAC=105

MDECAM

ED=ACMDE=CAMMD=AM

MDEMAC

DME=AMCME=MC

DMA=90

EMC=EMA+AMC=EMA+DME=DMA=90

MEC

290PABCAPB=BPC=CPA=120PABC

ABCACBBBBBABCPBB=PA+PB+PC

BB'PBPC=120APPB'PE=PCCE

BPC=120

EPC=60

PCE

PC=CEPCE=60CEB'=120

ACB'

AC=BCACB'=60

PCA+ACE=ACE+ECB=60

PCA=ECB

ACPBCE

APC=BEC=120PA=EB

APB=APC=BPC=120

PABC

BB'ABCPBB'=EB'+PB+PE=PA+PB+PC

291EFGABCABBCAC

1

2

15CGFAGEBEFGEFABC

2CGFGAE

EFGABBCACGFGE

GF=AE=ABGE=CF=BCCG=AG

CGFGAE

CGFGAESSS

292ABCDABCD

1CDBDBDE

2AECD=AE

1

2AE

BCDBAE

BCDBAESAS

CD=AE

293PABCPAPBPCBPPBQ=60BQ=BPCQ

1APCQ

2PAPBPC=345PQPQC

1AP=CQ

ABP+PBC=60QBC+PBC=60

ABP=QBC

AB=BCBP=BQ

ABPCBQ

AP=CQ

2PAPBPC=345

PA=3aPB=4aPC=5a

PQPBQ

PB=BQ=4aPBQ=60

PBQ

PQ=4a

PQC

PQ2+QC2=16a2+9a2=25a2=PC2

PQC

294ABCDADBCAB=AD=DCEBCDEABADE

ADE

ADBCDEAB

ABED

AB=DEAD=BE

BE=CE

AD=CE

AECD

AE=CD

AB=AD=CD

AD=AE=DE

ADE

295ABCDEFABBCCA

1AD=BE=CFDEF

2DEFAD=BE=CF

1DEF

ABC

A=B=CAB=BC=CA

AD=BE=CF

DB=EC=FA

ADFBEDCFE

DF=DE=EFDEF

2AD=BE=CF

DEF

DE=EF=FDFDE=DEF=EFD=60

1+2=120

ABC

A=B=C=60

2+3=120

1=3

3=4

ADFBEDCFE

AD=BE=CF

296ABCDABDCDCDCDCEDCFEDCFDCAEBF

11DABAEBFAB

22DABAEBFAB

3DAB3AEBFAB

1AE+BF=AB1

ABCDCF

CA=CBCD=CFACB=DCF=60

ACD=BCF

ACDBCF

ACDBCFSAS

AD=BF

CBDCAESAS

BD=AE

AE+BF=BD+AD=AB

2BF-AE=AB

2CBFCADCBDCAE

AD=BFBD=AE

BF-AE=AD-BD=AB

3AE-BF=AB

3CBFCADCBDCAE

AD=BFBD=AE

BF-AE=AD-BD=AB

297ABCDACDB=BCECDFAB

1EF=AB

2AAGEFBEGABEAGE

1BE

DB=BCECD

BECD

FRtABE

EF=

2[]ABGAF=BFAGEF

EFABG

BE=EG

ABEAGEAE=AEAEB=AEG=90

ABEAGE

[]1EF=AF

AEF=FAE

EFAG

AEF=EAG

EAF=EAG

AE=AEAEB=AEG=90

ABEAGE

298RtABCRtBADABAC=BDBCADE

1AE=BE

2AEC=45AC=1CE

1AECBED

AEC=BED

ACEBDE

ACEBDEAAS

AE=BE

2AEC=45C=90

CAE=45 CE=AC=1

299ABCA=90AB=ACDBC

1EFABACBE=AFDEF

2EFABCABE=AFDEF

1AD

AB=ACBAC=90DBC

ADBCBD=AD

B=DAC=45

BE=AF

BDEADFSAS

ED=FDBDE=ADF

EDF=EDA+ADF=EDA+BDE=BDA=90

DEF

2DEF

EFABCA

AD

AB=AC

ABC

BAC=90DBC

AD=BDADBC

DAC=ABD=45

DAF=DBE=135

AF=BE

DAFDBESAS

FD=EDFDA=EDB

EDF=EDB+FDB=FDA+FDB=ADB=90

DEF

300RtABCACB=90A=30CDABABECD=ACDFBCABACGF

1GE=GF

2BD=1DF

1DFBCACB=90

CFD=90

CDAB

AEC=90

RtAECRtDFCAEC=CFD=90ACE=DCFDC=AC

RtAECRtDFC

CE=CF

DE=AF

AGF=DGEAFG=DEG=90

RtAFGRtDEG

GF=GE

2CDABA=30

CE=AC=CD

CE=ED

BC=BD=1

ECB+ACE=90A+ACE=90

ECB=A=30CEB=90

BE=BC=BD=

ABCA=30

AB=2BC=2

AE=AB-BE=

RtAECRtDFC

DF=AE=


1ACEBCD

2AD=5BD=12DE

1ACBECD

AC=BCEC=DC

ACE=DCE-DCABCD=ACB-DCA

ACB=ECD=90

ACE=BCD

ACEBCD

ACEBCDSAS

2BAC=45

EAD=EAC+BAC=90

EAD

DE===13


1ACEBCD

2AD2+DB2=DE2

1ACB=ECD=90

ACD+BCD=ACD+ACE

BCD=ACE

BC=ACDC=EC

ACEBCD

2ACB

B=BAC=45

ACEBCD

B=CAE=45

DAE=CAE+BAC=45+45=90

AD2+AE2=DE2

1AE=DB

AD2+DB2=DE2

303ACBECDACDBDAEAEBDF

1ACEBCD

2AEBD

1ACBECD

AC=BCCE=CDACE=BCD=90

ACEBCD

ACEBCDSAS

2AEBD

ACEBCD

EAC=DBC

DBC+CDB=90

EAC+CDB=90

AFD=90

AFBD

AEBD

3045AB311

1RtACBBC=3AB=5AC==4

DC=4-1=3

RtDCEDC=3DE=5CE==4

BE=CE-CB=11

2

RtACBBC=3AB=5AC==4

DC=4-1=3

RtECDRtACB

CE=AC=4BE=CE-CB=11

305

1

1aba+b22

2

BC=a+bAD=_______

ABCDBC_______AD_______

abca2+b2=c2

RtABERtECD

AEB=EDC

EDC+DEC=90

AEB+DEC=90

AED=90

SABCD=SRtABE+SRtDEC+SRtAED

a+ba+b=++

a2+2ab+b2=++

a2+b2=c2

AD=cBCADa+bc

30611

22RtABCRtCDEB=D=90BCDACE=90

3Garfield18812012187641

1a+b2=a2+2ab+b2

=a+b2=a+bb+ab

=a2

=a+bb+ab+a2=a+b2=a2+2ab+b2

2ABCCDE

BAC=DCE

ACB+DCE=ACB+BAC=90

BCDACE=180-ACB+DCE=180-90=90

3ABDEAB+EDBD=a+ba+b=a+b2

ABDEab+ab+c2

a+b2=ab+ab+c2

a2+b2=c2

307ABCDEFBDBE=DF

1ABECDF2AECF

1ABCDABCDAB=CD

ABE=CDF

ABECDF

ABECDFSAS

2ABECDF

AEB=CFD

AEF=CFE

AECF

308ABCDEAD

BEDDFBEBC

FABECDF

ABCDAE=ED

ABECDF

AB=CD

EAB=FCD

DEBFDFBE

BFDE

DE=BF

AD=BC

AD-DE=BC-BF

AE=CF

ABECDF

309ABCDEFACAE=CF

ADF=CBE

ABCD

ADBCAD=CB

DAF=BCE

AE=CF

AE+EF=CF+EF

AF=CE

ADFCBE

ADFCBE

ADF=CBE

310EFABCDACBEDF

1ABECDF

21=2

1ABCD

AB=CDABCD

BAE=DCF

BEDF

BEF=DFE

AEB=CFD

ABECDFAAS

2ABECDFBE=DF

BEDF

BEDF

1=2

311ABCDEFBDBE=DF

1

2

1ABDCDBABECDFADECBF

2ABDCDB

ABCD

ADBCAD=BC

ABD=CDB

BD=BD

ABDCDBSAS

312EFABCDADBC

AF=CE

1ABCD

EFADBC

AE=CF

ABCD

ADBCAECF

AFCE

AF=CE

2ABCDEFADBC

BF=DE

ABCD

B=DAB=CD

ABFCDE

ABFCDESAS

AF=CE

313ABCDACEFAE=CF

AFD=CEB

ABCD

ADBCAD=BC

DAF=BCE

AE=CF

AE+EF=CF+EF

AF=CE

ADFCBE

AFD=CEB

314ABCDEFGHABBCCDDAAE=CGBF=DH

AEHCGF

ABCDBC=DAA=C

BF=DHFC=HA

AE=CG

AEHCGF


1______________

21

1DOEBOF

ABCD

ADBC

EDO=FBOE=F

OD=OB

DOEBOFAAS

BOMDON

ABCD

ABCD

MBO=NDOBMO=DNO

BO=DO

BOMDONAAS

ABDCDB

ABCD

AD=CBAB=CD

BD=DB

ABDCDBSSS

2O180O


1ABEFDA

2AEAFEBG

1ABCDAB=DC

DF=DC

AB=DF

EB=AD

ABCDABC=ADC

EBC=CDF

ABE=360-ABC-EBCADF=360-ADC-CDF

ABE=ADF

ABEFDASAS

2ABEFDA

AEB=DAF

EBG=EAB+AEB

EBG=DAF+EAB

AEAF

EAF=90

BAD=32

EAF-DAB=90-32=58

EBG=58


1EF=DF

2AC=2CFADC=60ACDCDE

1EEGCDAFG

GEF=CDFG=DCF

ABCD

ABCDAB=CD

EGAB

BEAC

ABEG

EG=AB=CD

EGFDCFASA

EF=DF

r04.xesimg.comr04.xesimg.com/.../zhutao/2015/09/12/14420399664562.docx · web...

Documents