2012 22 1 2012? M N PQO NMO APO CMO BPQ DMQ MN PQ PQO NMO MN PQ B 2.2012 A,D,C,F AB =DE,BC=EF,ABC DEF B E A D C 4 F A.BCA=F B. B=E C.BCEF D. A=EDF - 1 -
3 2012? ABCD E BC F AD CDF ABE ADF =BE BAF =CE CCF=AE D CF AE A DF =BE AB=CD B=D SAS CDF ABE B AF=CE BE=DF AB=CD B=D SAS CDF ABE C CF=AE AB=CD B=D SSA CDF ABE D CFAE AB=CD B=D AEB=CFD AAS CDF ABE C AASASASASSSS AAASSA 4 2012 ABCD AD BCM AD MB =MC AD =4AB=6BC=8 ABCD A22 B24 C26 D 28-2 -
AMB DMC AB=DC ABCD AD BC AMB =MBC DMC =MCB MC =MB MBC =MCB AMB =DMC AMB DMC AM =DM MB =MC AMB =DMC AMB DMC AB=DC ABCD =AB+BC +CD+AD=24 B AMB DMC AB=DC 5 2012 ABC D BC AD AD EF CEBF BDF CDE DE =DF CEBF ECD=DBF DEC =DFB 1 DE =DF CEBF ECD =DBF DEC =DFB 2 BDF CDE - 3 -
BDF CDE 6 2012 RtABC ACB=90 BC=2cmCDAB AC E EC=BC E EF AC CD F EF =5cm AE= cm ACB =90 ECF +BCD=90 CD AB BCD +B=90 ECF =B ABC FEC ABC FEC ASA AC =EF AE =AC CEBC=2cmEF=5cm AE =52=3cm 3 7 2012 ABCD AB=AD CB=CD B=D - 4 -
AC AB=AD CB=CD AC=AC SSSABC ADC B=D AC ABC ADC AB CB AC AD CD AC ABC ADC B=D AC 8 2012? D AB E AC AB=AC B=C BE=CD A=A ASA ABE ACD ABE ACD ABE ACD BE=CD SASASA - 5 -
AASSSS ASA A=A ABE ACD 9.2012 B AE CAE=DAE CBE=ADBE AC =AD. AC=AD ACB ADB C=D AB=AB CAE=DAE CBE=DBE CAE=DAE CBE=DBE CAE=DAE C=D AB=AB CAE=DAE ACB ADB AC=AD. 10 2012 ABDE AD=EBBC DF C=F AC=EF - 6 -
AD =EB AD BD =EBBD AB=ED BCDF CBD =FDB ABC=EDF 1 2 3 C=F ABC EDF 5 AC=EF 6 11 2012 E A C AB CD AB CE AC CD BC ED. ABC CED SAS BC=ED 1 SAS. 0.9 12.2012 ABD E AD=EB,BCDF,C=F, AC=EF. BCDF CBD=FDB ABC=EDF AD=EB AB=CD AAS - 7 -
AD=EB AD-BD=EB-BD,AB=ED BCDF, CBD=FDB ABC=EDF C=F, ABC EDF AF=EF 13 2012 E ABCD AB DE 1 ABC BM CD F CBF =ADE 2 1 ADE CBF 1 CBM =ADE BM CD F 2 A=C AD =BC ASAADE CBF 1 3 2 ABCD A=CAD =BC ADE =CBF ADE CBF ASA - 8 -
14 2012 CE=CBCD =CA DCA=ECB DE =AB DCA=ECB DCA +ACE=BCE+ACE DCE =ACB DCE ACB DCE ACB DE =AB 15.2012 ABC AB=AC D BC E AD 1 ABD ACD; 2BE=CE - 9 -
1 D BC BD=CD ABD ACD SSS 2 BAD =CAD ABE ACE BE=CE 1 ABD ACD D BC, BD AB AD AC AD CD ABC ACD. (SSS) 2 1 ABD ACD BAD=CAD BAE=CAE ABE ACE AB AC BAE CAD ABE ACE (SAS) AE AE BE=CE ( ) 16 2012? ABCD E BA BE=AD F AD AF=AB AEF DFC - 10 -
ABCD AB=CD ABCD D =EAF BE=ADAF=AB AF =CD DF =AE SAS AEF DFC ABCD AB=CD ABCD D=EAF AF=ABBE=AD AF=CD ADAF=BEAB DF =AE AEF DFC AEF DFC SAS 17. 2012 AEC DFB E=F ABCD AEDF AB =CD CE=BF 1-11 -
2 1 1 1 2 2 1 AEDF A=D AB=CD AB+BC=CD +BC AC=DB AEC DFB E=F A=DAC=DB AEC DFB AAS CE =BF 1 2 1 AE DF AB=DC BC AC=DB E=F AAS ACE DBF CE=BF AEDF A=D AB =CD AB+BC=CD +BC AC=DB AEC DFB E=F A=D CE=BF AEC DFB AAS AC =DB AC-BC=DB-BC AB=CD 18 2012? ABCD EF BD BE=DF AECF AE CF - 12 -
ABCD ABCDAB=CD ABE=CDF BE=DF ABE CDF AE=CF AE=CF ABCD ABCD AB=CD ABE=CDF ABE CDF ABE CDF SAS AE=CF 19 2012? 1 1? ABCD E F ABCD AE=CF DE =BF 2 2ABC AB=AC A=40 BD ABC BDC - 13 -
1 ABCD SAS ADE CBF 2 AB=AC A ABC C BD ABC DBC BDC 1 ABCD AD =BC A=C ADE CBF AD=CB A=C AE=CF ADE CBF SAS DE =BF 2 AB=AC A=40 ABC=C= 1 2 180-40 =70 BD ABC DBC= 1 2 ABC=35 BDC=180 -DBC -C=75 [ 20.2012 CE =CB,CD =CA, DCA =ECB. DE=AB DE =AB CE=CB,CD =CA DCA=ECB DCE=ACB DCA =ECB CE=CB,CD =CA DCE=ACB DEC ABC(SAS) DE =AB - 14 -
21 2012 ABCD AB E BE=AB DE BC F BEF CDF ABCD CD=AB AB CD. BE=AB CD= BE. ABCD EBF= DCB EBF DCF BEF CDF EFB DFC ( ) BE CD BEF CDF AAS 5 22.2012 ( 5 ).ABC C o 90 D AB DM AB DM AC,M ME BC AB E.ABC MED. C MDE B MED AC DM DM AB C=90 0 0 C = M D E = 9 0-15 -
ME BC M B M E D ABC MED C C M D E B M E D A C D M A B C M E D A D E B 23.2012 RtABC ABC=90 0 D BC BD =AB B BE AC BD DE E. 1 ABC BDE 2 BDE ABC O A E B C D DBE A,ABC BDE O. (1)BEAC, A+ABE=90 0, ABC=90 0 DBE+ABE=90 0, A =DBE ABC=BDE =90 0 BD=AB AOF DOC O. (2) BD AB - 16 -
. 24 2012 ABC ABC=45 CD ABBEAC DE F BC BE DF DC GH ABE=CBE 1 BH AC 2 BG 2 GE 2 =EA 2 1 BDC =BEC=CDA=90 ABC=45 BCD =45 =ABC A+DCA=90 A+ABE=90 DB =DC ABE=DCA DBH DCA DBH =DCA BDH =CDA BD=CD DBH DCA BH =AC 2 CG F BC DB =DC DF BC BG=CG ABE=CBEBEAC AEB=CEB ABE CBE AEB=CEBBE=BE CBE=ABE - 17 -
ABE CBE EC =EA RtCGE BG 2 GE 2 =EA 2 25 2012 EF ABCD BD AECFAE=CF BE=DF ADE CBF AECF AED =CFB 3 DF =BE DF +EF=BE+EF DE =BF 6 ADE CBF AE CF AED DE BF CFB 9 ADE CBF SAS 10-18 -
26 2012 ABCD ABCD ACBD O BO=DO ABCD ABCD ABO=CDO ABO CDO ABO CDO AB =CD ABCD 27. 2012 ABCD EF AD BC AE=CF 1 ABE CDF 2 BFDE 1 ABCD A=CAB=CD ABE CDF ABE CDF SAS 2 ABCD - 19 -
AD BCAD=BC AE =CF AD AE=BCCF DE=BF BFDE 28 2012? ABCD ADBC AB=CD ABCD ABE DCF AFDE 1 AF=DE 2 BAD =45 AB=a ABE DCF ABCD BC h 1 AED DFA 2 BH ADCK AD BC 1 ABCD AD BCAB=CD BAD =CDA ABE DCF AB =AEDC =DF BAE=CDF =60 AE=DF EAD =FDA AD=DA AED DFASAS AF=DE - 20 -
2 BH AD CKAD BC=HK BAD =45 HAB =KDC =45 AB= BH = AH CD = CK= KD S ABCD = AB=a S ABCD = = SABE=SDCF = a 2 =2 a 2 BC= a BE DF. 29. 2012? 7 8 ABCD DAE BCF. D E C F A 8 B AD BCAD =BC ADE =CBF DE =BF ADE CBF DAE =BCF ABCD - 21 -
AD BC,AD =BC ADE =BCF BE=DF, BF=DE ADE CBF DAE =BCF ADE CBF 30 2012 E? ABCD BC AE AE DC F 1 ABE FCE 2 ACBF AEC=2ABC ABFC 1 ABCD AB DC E BC ASA ABE FCE 2ABE FCE AB=CF CF ABFC AE=EFBE=EC AEC ABE AEB ABE+EAB AEC=2ABC ABE=EAB AE=BE AF=BC ABFC 1 ABCD AB DC - 22 -
ABE=ECF E BC BE =CE ABE FCE ABE FCEASA 2 ABE FCE AB =CF ABCF ABFC BE =EC AE =EF AEC=2ABC ABE AEC=ABC+EAB ABC=EAB AE =BE AE +EF =BE+EC AF=BC ABFC 31 2012 ABCD AD BCAB=CD CB E BE=AD AEAC 1 ABE CDA 2 DAC =40 EAC - 23 -
1 ABE=CDA SAS 2 AEC ACE AEC 1 ABCD ADBCAB=CD ABE=BAD BAD =CDA ABE=CDA ABE CDA ABE CDA 2 1 AEB=CAD AE=AC AEB=ACE DAC =40 AEB=ACE=40 EAC=180 40 =100 32(2012? ) ABCD ABBC ABC CDA 90 BEAD E BEDE - 24 -
CF BE F CFED CBF A AAS BAE CBF BECF CFBE BEAD AEB90 FED D CFE90 CBE ABE90 BAE ABE90 BAE CBF EFCD DE CF BAE CBF CBE BAE BFC BEA90 ABBC BAE CBF BECFDE BEDE BAE CBF 33 2012 ABCD EF BCCD BAF=DAE AE BD G 1 BE=DF 2= BEFG - 25 -
1 ABCD AB =AD ABC =ADF BAF=DAE BAF EAF=DAE EAF BAE=DAF BAE DAF BE =DF 2= FG BC DGF =DBC =BDC DF =GF BE =GF BEFG 34 2012 10 A D A D ABCD B60o E BC F CD F F (1) 1 E BC AEF B E C 1 60o BEDF B E C 2 (2) 2 EAF 60o AEF 1 AC ABCD B=60 ABC AEBC FEC=CFE EC =CF BE=DF 2 AC ABC AB=AC ACF =B=60 AEB=AFC - 26 -
AEB AFC AE=AF AEF 1 AC ABCD B=60 AB=BC=CD C=180 -B=120 ABC E BC AEBC AEF=60 FEC =90 -AEF =30 CFE =180 - FEC -C =180-30 -120 =30 FEC =CFE EC=CF BE=DF 2 AC ABCD B=60 AB=BC D=B=60 ACB=ACF ABC AB=AC ACB=60 B=ACF =60 AD BC AEB=EAD =EAF +FAD =60 +FAD AFC =D+FAD =60 +FAD AEB=AFC ABE AFC B=ACF AEB =AFC AB=AC ABE ACF AAS AE=AF EAF=60 AEF - 27 -
35 2012 1 D ABC BA D B DC BC DCF AF AF BD 2 D ABC BA 1 AF BD 1 3 D ABC BA D B DC DC BC DCF DCF AFBF AF BF AB D BA 1 SAS BCD ACF AF=BD 2 BCD ACF AF=BD 3 AF+BF AB BCD ACF SAS BD=AF BCF ACD SAS BF AD AF+BF AB AF=AB+BF BCF ACDSAS BF AD 2 AF=AB+BF - 28 -
1AF=BD ABC BC=AC BCA=60 DC=CF DCF =60 BCA DCA =DCF DCA BCD =ACF BCD ACF BCD ACF SAS BD =AF 2 1 BCD ACF SAS AF=BD D ABC BA 1 AF =BD 3 AF+BF AB 1 BCD ACF SAS BD =AF BCF ACD SAS BF AD AF+BF BD+AD=AB AF=AB+BF BCF ACD BCF ACD SAS BF AD 2 AF=BD AF=BD =AB+AD =AB+BF AF=AB+BF - 29 -
60-30 -