-1 pp.06~19 01 1) 135 3 3 2) 2 3 5 3 3 3) 2 4 6 3 3 4) 5 6 2 2 5) 1 2 3 6 4 4 02 1) (1 1) (2 2) (3 3) (4 4) (5 5)(6 6) 6 6 2) (11)(13)(15)(31)(33)(35) (51)(53)(55) 9 9 3) (33)(36)(63)(66) 4 4 4) (15)(24)(33)(42)(51) 5 5 5) (45)(46)(54)(55)(56)(64) (65)(66) 8 8 03 1) 6 789 3 3 2) 1234 4 4 3) 3456 4 4 4) 1248 4 4 5) 369 3 3 6) 2468 4 4 04 1) ( ) 1 1 05 1) 2) ()() 2 2 3) () 1 1 2) 100 ( ) 2 1 1 0 0 50 ( ) 0 2 1 4 3 10 ( ) 0 0 5 0 5 06 1) 32) 23) 5 5 100 ( ) 1 1 0 0 50 ( ) 1 0 3 2 10 ( ) 0 5 0 5 4 07 1) 4+2=6() 6 2) 5+4=9() 9 3) 3+3=6() 6 4) 4+7=11() 11 08 1) (13)(22)(31) 3 3 2) (46)(55)(64) 3 3 3) 4 310 3 3+3=6() 6 4) 3 (12)(21) 5 (14)(23)(32)(41) 2+4=6() 5) 4 (15)(26)(51)(62) 5 (16)(61) 4+2=6() 6 6 09 1) 36912 4 4 2) 510 2 2 3) 4+2=6() 6 10 1) 7 (16)(25)(34)(43)(52)(61) 10 (28)(37)(46)(64)(73)(82) 6+6=12() 12 2) 3 (12)(21) 4 (13)(31) 2+2=4() 3) 8 (18)(24)(42)(81) 16 (28)(82) 4+2=6() 4 6 11 1) 1 2 2 2_2=4() 4 2) 2_2_2=8() 8 3) 2_2_2=8() 8 4) 2_2_2_2=16() 16 12 1) 62) 363) 216 13 2_2_6=24() 24 14 1) 2246 3 336 2 3_2=6() 6 2) 6 12363 12 4_2=8() 8
3) 246 3 3_3=9() 9 4) 235 3 3_3=9() 9 5) ()_() 3_3=9() 9 15 1) 22) 4 3) 2_4=8() 8 16 1) 22) 3 3) 2_3=6() 6 17 1) 3_2=6() 6 2) 2_4=8() 8 3) 5_3=15() 15 4) 3_4=12( ) 12 5) 2_2_2=8() 8 18 1) AB 3 3_3=9() 9 2) 33) 34) 3 19 3 3_3_3=27() 27 20 1) 3 2 1 3_2_1=6() 6 2) 4_3_2_1=24() 24 3) 6_5_4_3_2_1=720() 720 21 1) 4_3_2=24() 24 2) 4_3=12() 12 3) 6_5=30() 30 4) 6_5_4=120() 120 22 1) 5_4=20() 20 2) 5_4_3=60() 60 3) 4_3_2_1=24() 24 4) 4_3_2_1=24() 24 5) 3_2_1=6() 6 23 AF 24 FA 24 24+24=48() 48 24 1) 4_3_2_1=24() 24 2) 4_3_2=24() 24 3) 4_3=12() 12 25 5_4_3_3=180() 180 26 1) AB ABCDEF 5 5_4_3_2_1=120() AB 2 120_2=240() 240 2) ABC ABCDEF 4 24 ABC 6 24_6=144() 144 27 1) 4 24 2 24_2=48() 48 2) 3 6 6 6_6=36() 36 3) 2 2 2 6 2_2_6=24() 24 28 1) 135 3 2 3_2=6( ) 6 2) 4_3=12( ) 12 3) 5_4=20( ) 20 4) 6_5=30( ) 30 29 1) 357 3 3 9 9 2) 3_1=3( ) 3 3) 2_3=6( ) 6
30 35 2 4 3 2_4_3=24( ) 24 31 1) 26 2 2 2_2=4( ) 4 2) 3_3=9( ) 9 3) 4_4=16( ) 16 32 1) 3_3_2=18( ) 18 2) 4_4_3=48( ) 48 33 1) 02 0 32 2 3+2=5( ) 2) 5 27 2 2+2=4( ) 3) 5 2 7 3 2+3=5( ) 5 4 5 34 5 5_4=20( )7 5_4=20( ) 9 5_4=20( ) 20+20+20=60( ) 60 35 1) 5 4 5_4=20() 20 2) 5_4_3=60() 60 3) 5_4_3_2=120() 120 36 1) 5 2 5_4 =10() 10 2 2) 5 3 5_4_3 =10() 10 3_2_1 3) 2 10 3 1 3 10_3=30() 30 37 1) 6_5=30() 30 2) 6_5_4=120() 120 6_5 3) =15() 2 15 6_5_4 4) =20() 3_2_1 20 5) 2_4=8() 8 6) 1 6 5 2 5_4 2 =10() 6_10=60() 60 38 1) 4 2 4_3 =6( ) 6 2 2) 4 3 4_3_2 =4( ) 4 3_2_1 5_4 39 1) =10( ) 10 2 2) 5 3 5_4_3 3_2_1 =10( ) 10-2 pp.20~31 40 1) 8 5 ;8%; 2) 16 6 ;1 6;;8#; 41 1) 12 4 ;1 2;=;3!; ;3!; 2) ;1 2;=;2!; ;2!; 3) ;1 2;=;6!; ;6!; 42 1) 10 5 13579 ;2!; ;2!; 2) 8910 3 ;1 0; ;1 0; 3) 1234 4 ;1 0;=;5@; ;5@; 4) 12510 4 ;1 0;=;5@; ;5@; 5) 369 3 ;1 0; ;1 0; 43 1) 8 0 1 () ;8!; ;8!; 2) ()() () 3 ;8#; ;8#;
! 3) ()() () 3 ;8#; ;8#; 4) () 1 ;8!; ;8!; 5) ()() 2 ;8@;=;4!; ;4!; 44 1) 6 3 246 ;2!; ;2!; 2) 235 3 ;6#;=;2!; ;2!; 3) 3456 4 ;6$;=;3@; ;3@; 4) 1236 4 ;6$;=;3@; ;3@; 5) 36 2 ;6@;=;3!; ;3!; 45 1) 6_6=36() 4 3 (13)(22)(31) ;1 2; ;1 2; 2) (16)(25)(34)(43)(52)(61) 6 ;3 6;=;6!; ;6!; 3) (11)(22)(33)(44)(55)(66) 6 ;3 6;=;6!; ;6!; 4) (13)(24)(31)(35)(42)(46) (53)(64) 8 ;3 6;=;9@; ;9@; 5) (16)(23)(32)(61) 4 ;3 6;=;9!; ;9!; 48 1) 3 ;3!; 3 1-;3!;=;3@; 2) 1-;3@;=;3!; ;3!;3) 1-;7#;=;7$; ;7$; ;3@; 4) 1-0.6=0.4 40 % 40% 5) 4 ;2 0;=;4!; 4 1-;4!;=;4#; ;4#; 6) 2 (11) 1 3 ;3 6; 3 ;3#6%; 7) ;2!;8) ;6%; 49 20 50 5 4 50 ;2 0;=;5!; ;3#6%; 50 1-;5!;=;5$; ;5$; 50 1) 3 ;9#;=;3!; 369 5 ;9@; 510 3 5 ;3!;+;9@;=;9%; ;9%; 2) 5 ;9#;=;3!; 234 8 ;9#;=;3!; 8910 5 8 46 1) 0 0 2) 03) 0 4) 6_6=36 36 0 ;3!;+;3!;=;3@; 51 1) 5;3 6;=;9!; (14)(23)(32)(41) 10;3 6;=;1 2; (46)(55)(64) 5 10 ;3@; 47 1) 1 2) 1 3) 1 9 10 1 4) 6+6=12 2 12 1 ;9!;+;1 2;=;3 6; ;3 6; 2) 1;3!!6);=;1 8; 10 5;3 6;=;1 8; 2 1 5 ;1 8;+;1 8;=;3!; ;3!;
52 1) 2 ;6#;=;2!; 3 ;6@;=;3!; ;2!;_;3!;=;6!; ;6!; 2) ;2!;_;2!;=;4!; ;4!;3) ;2!;_;3@;=;3!; ;3!; 6) 1-( ) =1-;5@;_;4!;_;2!;=;2!0(; ;2!0(; 57 2 36 2 10 1-;3!6);=;3@6^;=;1!8#; ;1!8#; 53 1) ;3!;_;4!;=;1 2; ;1 2;2) ;3!;_;4!;=;1 2; ;1 2; 3) ;3@;_;2!;=;3!; ;3!; 58 1) 1 ;7$; ;7$;_;7$;=;4!9^; ;4!9^; 54 1) ;8%;_;9$;=;1 8; ;1 8; 2) ;8%;_;5#;;=;8#; ;8#; 3) ;8%;_;9$;_;5#;=;6!; ;6!;4) ;3@;_;3@;=;9$; ;9$; 5) ;3@;_;3@;_;3@;=;2 7; ;2 7; 55 1) ;9%;_;4#;=;1 2; ;1 2; 2) B 1-;4#;=;4!; A ;9%;_;4!;=;3 6; ;3 6; 3) A 1-;9%;=;9$; B ;9$;_;4#;=;3!; ;3!; 4) AB ;9$; ;4!; ;9$;_;4!;=;9!; ;9!; 56 1) 3 ;8!; 1-;8!;=;8&; ;8&; 2) ABC ;3@;;4#;;5#; ;3@;_;4#;_;5#;=;1 0; 1-;1 0;=;1 0; ;1 0; 3) 1-( ) =1-;2!;_;2!;=;4#; ;4#; 4) 1-(3 ) =1-;8#;_;5@;_;6!;=;4#0(; ;4#0(; 5) 1-( ) =1-;3!;_;8#;_;2!;=;1!6%; ;1!6%; 2) ;7#;_;7#;=;4ª9; ;4ª9;3) ;7$;_;7#;=;4!9@; ;4!9@; 4) 1-;4!9^;=;4#9#; ;4#9#; 59 1) ;1 2;_;1 2;=;9!; ;9!;2) ;1 2;_;1 2;=;9@; ;9@; 3) ;1 2;_;1 2;=;9$; ;9$;4) 1-;9$;=;9%; ;9%; 60 1) ;7$; ;6#;=;2!; ;7$;_;2!;=;7@; ;7@; 2) ;7#;_;6@;=;7!; ;7!;3) ;7@;+;7!;=;7#; ;7#; 4) ;7$;_;6#;=;7@; ;7@;5) 1-;7@;=;7%; ;7%; 61 1) ;1 2;_;1 1;=;1 1; ;1 1;2) ;1 2;_;1 1;=;3!3$; ;3!3$; 3) ;1 2;_;1 1;=;3 3; ;3 3;4) ;1 2;_;1 1;=;3 3; ;3 3; 5) 1-;3!3$;=;3!3(; ;3!3(; 62 1) ;8!;2) ;8#; 3) 2357 ;8$;=;2!; 4) 8 1248 ;2!; ;8$;=;2!; ;;2!; 63 1) x2x3x px 4px 9px px =;9!; ;9!; 9px 4px -px 9px -4px 2) =;3!; ;3!; 3) =;9%; ;9%; 9px 9px
-1 pp.36~55 01 1) AB =AC =10 cm 10 2) AB =AC =7 cm 7 3) AB =AC =15 cm 15 06 1) ABC x=ab =8 8 2) ABC x=ac =10 10 3) ABC x=2_5=10 10 02 1) AB =AC =8 cm 5+2_8=21(cm) 2) AB =AC =11 cm 9+2_11=31(cm) 3) AB =AC =13 cm 17+2_13=43(cm) 21 cm 31 cm 43 cm 03 1) ABC AB =AC B= Cx=65 65 2) ABCB= C x=;2!;_(180-70 )=55 3) ABCB= C=45 x=180-2_45 =90 4) ACB=180-120 =60 x= ACB=60 5) ABC= ACB=180-110 =70 x=180-2_70 =40 6) B= C=;2!;_(180-66 )=57 x= B=57 55 90 60 40 57 04 1) x=;2!;_8=4 4 2) x=2_6=12 12 3) C= B=60 A=180-2_60 =60 ABC x=2_5=10 10 05 1) BAD= CAD AD BC x=90 90 2) AD BC BD =CD BAD= CAD x=180 -(90 +34 )=56 56 3) BD =CD AD BC ADB=90 B= C=48 x=180 -(90 +48 )=42 42 07 1) C, CAD, AD, AC 2) ACB, PCB 08 1) ABC ABC= ACB=70 BCD BDC= BCD=70 x=180-70 =110 2) ABC ABC=;2!;_(180-46 )=67 110 ABD ABD= DAB=46 x=67-46 =21 21 3) ABD ABD= DAB= x BDC=2 x BCD BCD= BDC=2 x ABC ABC=2 x x+2 x+2 x=180 x=36 36 09 1) ABC ABC= ACB=66 ACE=180 - ACB=114 DBC=33 DCE=57 BCD x= DCE- DBC=24 2) ABC= ACB=58 ACE=122 DBC=29 DCE=61 BCD x=61-29 =32 3) ABC= ACB=64 ACE=116 DBC=32 DCE=58 BCD x=58-32 =26 10 1) C= B=34 BED CEF BED= CEF=73 x=180-2_ BED=34 2) C= B=50 BED= CEF=65 x=180-2_65 =50 3) B= C=72 BED= CEF=54 x=180-2_54 =72 24 32 26 34 50 72
11 1) x= GFE() x= GEF( ) GEF x=;2!;_(180-76 )=52 2) FEC= GFE=70 () GEF= FEC=70 ( ) x=180-2_70 =40 3) AGE= GEC=108 () GEF= FEC=54 ( ) x= FEC=54 () 12 E EDFASA 13 1) ABCDEF AC =DF A= D 52 40 54 ABC DEF(RHA ) ABC DEF(RHA ) 2) ABCFDE AB =FD =10 cm AC =FE =6 cm ABC FDE(RHS ) ABC FDE(RHS ) 14 1) ABC DEF x=de =AB =3 3 2) ABC DEF x=bc =EF =5 5 3) ABC DEF x=bc =EF =12 12 4) ABC DEF DEF x=ab =DE =DF =6 6 15 1) CEA90CA 9090 DBARHA 2) BC BCE90BE RHS 16 1) ABD CAE AE =9 cm ACE=;2!;_6_9=27(cm ) 2) ABD CAE AD =CE =7 cm ABD=;2!;_7_12=42(cm ) 3) AD =CE =3 cmae =BD =5 cm 27 cm 42 cm BCED=;2!;_(5+3)_(5+3)=32(cm ) 4) AD =CE =6 cmae =BD =8 cm BCED=;2!;_(8+6)_(8+6)=98(cm ) ABD= ACE=;2!;_8_6=24(cm ) ABC=98-2_24=50(cm ) 32 cm 50 cm 17 1) ABE ADEBAE= DAE A=90-34 =56 x=28 28 2) ABE ADEBAE= DAE=26 x=90-2_26 =38 38 3) ABE ADEBAE= DAE=32 C=90-2_32 =26 x=90-26 =64 64 18 1) DBE= CBE DE =CE x=4 4 2) BD =BC =8 cm x=12-8=4 4 3) BD =BC =9 cm x=9+3=12 12 19 1) DE =CE DBE= CBE ABC=90-42 =48 x=24 24 2) ABC=40 x=;2!;_40 =20 20 3) BAC=44 CAE=;2!;_44 =22 20 1) x=90-22 =68 68 2) 3) 4) 5) 21 1) x=;2!; BC =4 4 2) 10 3) OB =OC OBC= OCB=18 x=180-2_18=144 144 22 1) x+20 +37 =90 x=33 33 2) x+28 +39 =90 x=23 23 3) x= OCBx+18 +29 =90 x=43 43 4) OAC= OCA=90 -(22 +31 )=37 x=180-2_37 =106 106 5) AOC=360 -(138 +140 )=82 x=;2!;_(180-82 )=49 6) OC OCB=35 OCA=90 -(35 +29 )=26 x=35 +26 =61 49 61 23 1) x=2_64 =128 128 2) x=;2!;_134 =67 67
3) C=19 +23 =42 x=2_42 =84 4) B=27 +25 =52 x=2_52 =104 5) OBC= OCB=21 BOC=180-2_21 =138 x=;2!;_138 =69 6) OAC= OCA=29 AOC=180-2_29 =122 x=;2!;_122 =61 84 104 69 61 2) x=5 5 3) DC =EC x=6 6 30 1) x+21 +33 =90 x=36 36 2) x+27 +31 =90 x=32 32 3) x+26 +37 =90 x=27 27 4) ICB= ICA=;2!;_48 =24 x=90 -(35 +24 )=31 31 5) x=90 -{;2!;_72 +19 }=35 35 7) BOC=2_70 =140 x=;2!;_(180-140 )=20 24 ABC=4 3 5 B=;1 2;_180 =45 x=2_45 =90 20 90 25 1) OABC OA =OB =OC x=4 4 2) x=2_6=12 12 3) x=;2!;_18=9 9 4) A=60 OAC OA =OB =OC =10 cm x=2_10=20 20 26 1) OBC OCB=32 x=32 +32 =64 2) OBC OCB= x 70 = x+ xx=35 3) 4k+5k=180 k=20 x=;2!;_(180-4_20 )=50 64 35 50 27 OA =OB =OC =8 cmabc O p_8 =64p(cm ) 64p`cm 28 1) 2) 3) 4) 5) DBI= EBIIB IBD IBE(RHA ) 29 1) IAC=20 x=20 20 6) x=90 -{;2!;_68 +;2!;_48 }=32 32 31 1) x=90 +;2!;_68 =124 124 2) x=90 +;2!;_82 =131 131 3) 109 =90 +;2!; xx=38 38 4) 126 =90 +;2!; xx=72 72 5) ACB=2_43 =86 x=90 +;2!;_86 =133 6) BIC=90 +;2!;_74 =127 x=180 -(127 +33 )=20 7) AIC=90 +;2!;_66 =123 x=180 -(123 +41 )=16 8) AIB=90 +;2!;_98 =139 x= ABI=180 -(139 +27 )=14 32 1) DI =DB =8 cmei =EC =6 cm DE =8+6=14(cm) 133 20 16 14 14 cm 2) EI =EC =8 cm DI =13-8=5(cm) 5cm 3) DI =DB EI =EC ADE 13+16=29(cm) 29 cm 4) DI =DB EI =EC AB +AC =8+10+12=30(cm) AB +BC +CA =30+15=45(cm) 45 cm 33 1) 90 +;2!; A=130 A=80 x=2 A=2_80 =160 2) A=;2!;_140 =70 x=90 +;2!;_70 =125 160 125
3) BIC= BOC 2 x=90 +;2!; xx=60 60 34 1) CE =CD =3AE =7-3=4 x=ae =4 4 2) AF =AE =6 x=bf =14-6=8 8 3) AE =AF =3 x=ce =7-3=4 4 4) AE =AF =3CE =AC -AE =5 x=bd +CD =BF +CE =4+5=9 9 5) BF =BD =x (11-x)+(12-x)=9 x=7 7 6) AE =AF =x (14-x)+(10-x)=16 x=4 4 35 r 1) ABC=;2!;_r_(13+14+15)=84 r=4 cm 2) ABC=;2!;_r_(10+12+10)=48 r=3 cm 3) ABC=;2!;_r_(8+15+17)=60 r=3 cm 4cm 3cm 3cm 36 1) ABC=;2!;_r_(3+4+5)=;2!;_3_4 r=1 p cm p cm 2) ABC=;2!;_r_(10+24+26)=;2!;_24_10 r=4 ;2!;_24_10-p_4 =120-16p(cm ) 3) R=;2!; AC =5 (120-16p) cm ABC=;2!;_r_(6+8+10)=;2!;_8_6 r=2 p_5 -p_2 =21p(cm ) 21p`cm -2 pp.56~84 37 1) AB //DC x=80 () AD //BC y=40 () x=80 y=40 2) AB // DC x=35 () AD //BC y=25 () x=35 y=25 3) AB //DC x=75 () AD //BC y=30 () x=75 y=30 38 1) ACB= CAD=55 () OBC x+25 +55 =180 x=100 2) ACD= CAB=30 () OCD x+30 +85 =180 x=65 39 DBC=30 ACD=60 DBC 30 + x+60 + y=180 x+ y=90 100 65 90 40 1) AD =BC x=5ab =DC y=4 x=5y=4 2) x=12y=10 3) x-1=4 x=5 2y+1=7 y=3 x=5y=3 41 1) B= Dx=40 B+ C=180 y=140 x=40 y=140 2) A+ D=180 x=65 A= Cy=115 x=65 y=115 3) AD // BC x= ADB=30 y= AABD y+50 +30 =180 y=100 x=30 y=100 42 1) OC =OA x=4 OB =OD y=5 2) OB =OD x=5 OC =OA y=3 3) x+10=13 x=3 2y+5=9 y=2 4) OA =;2!; AC x=;2!;_10=5 OB =;2!; BD y=;2!;_12=6 x=4y=5 x=5y=3 x=3y=2 x=5y=6 43 1) AD =BC x=7 B= Dy=60 x=7 y=60 2) AB =DC x=12 y=180-75 =105 x=12 y=105
3) x=7 y=180-120 =60 x=7 y=60 4) x=;2!;_10=5 y=80 () x=5 y=80 44 1) DAE= AEB()ABE BE =BA =4 x=bc -BE =6-4=2 2 2) BE =AB =5 x=bc -BE =7-5=2 2 3) BE =BC -EC =11-4=7 x=be =7 7 4) DAE= BEA() ADF= CFD() ABEDCF BE =BA =6FC =DC =6 x=(6+6)-9=3 3 5) ABEDCF BE =AB =9FC =DC =9 x=(9+9)-12=6 6 6) ABE= CEB() BCE EC =BC =9 x=ec -DC =9-5=4 4 45 1) BM =CM ABM= ECM() AMB= EMC() ABM ECM(ASA ) x=dc +CE =6+6=12 12 2) ABM ECM(ASA ) x=dc +CE =2+2=4 4 3) ABM ECM(ASA ) x=dc +CE =5+5=10 10 46 1) A+ B=180 A=;5#;_180 =108 x= A=108 108 2) A+ B=180 B=;3@;_180 =120 x= B=120 120 3) A+ D=180 D=;9%;_180 =100 x= D=100 100 47 1) D+ C=180 D=70 ADE x=180 -(25 +70 )=85 85 2) D= B=80 ADE x+80 =110 x=30 30 3) A=180-60 =120, DAE=;4!;_120 =30 ADE x=180 -(30 +60 )=90 90 48 1) AB BC 2) 3) 180 4) DAC= BCA() 5) 6) 7) 8) AOD COB 49 1) A D 2) 5) B B A C C D 50 1) AB // DC AD // BC 2) AB =DC AD =BC 3) A= C B= D 4) AO =CO BO =DO 5) AD // BC AD =BC AB // DC AB =DC 51 1) AB //DC AD //BC BAC= DCA() x=80 DBC= BDA()y=20 x=80 y=20 2) AB =DC 3x=12 x=4 AD =BC 15=2y+3 y=6 x=4y=6 3) A= C 2 x=140 x=70 C+ D=180 140 +5 y=180 y=8 x=70 y=8 4) AC =2AO BD =2DO 24=2_4x x=3 32=2_8y y=2 x=3y=2 5) AB =DC 11x+20=97 x=7 AB // DC y=60 () x=7 y=60 B A B C B 3) A D 4) A O C C D D
52 1) AD =5 2) 3) AO =CO =5 4) 5) B=80 C=100 AB =CD 53 1) ABC=40 BCD=140 2) 3) 4) 5) 6) 54 1) PBQ=;2!; B QDP=;2!; D B= DPBQ= QDP y APB= PBQ()CQD= QDP() APB= CQD DPB= BQD y PBQD 2) AD //BC MD //BN y AD =BC MD =;2!; AD BN =;2!;BC MD =BN y MBND 3) A= CAP =;2!;AB =;2!; CD =CR AS =;2!;AD =;2!; BC =CQ APS CRQ(SAS ) PS =RQ y B= DBQ =;2!; BC =;2!; DA =DS PB =;2!;AB =;2!; DC =DR BQP DSR(SAS ) PQ =RS y PQRS 4) AO =CO BO =DO EF BO DO BE =EO =FO =DF AO =CO EO =FO AECF 55 1) AEF= CFE=90 AE // CF y AEF= CFE=90 ADE= CBF AED CFB(RHA ) AE =CF y AECF 2) AO =CO AP =CR PO =RO y BO =DO BQ =DS QO =SO y PQRS 3) AP //RC AP =RC APCR AF //EC y AS //QC AS =QC AQCS AE //FC y AECF 4) ;2!; ABCD= ABEF= FECD FB =DE FG =HE y AE =FC GE =FH y GEHF 56 1) ABC=;2!; ABCD=24(cm ) 24 cm 2) BCD=;2!; ABCD=24(cm ) 24 cm 3) OAB=;4!; ABCD=12(cm ) 12 cm 4) OBC=;4!; ABCD=12(cm ) 12 cm 5) OAB+ OCD=;2!; ABCD=24(cm ) 6) OBC+ OAD=;2!; ABCD=24(cm ) 57 FGEH=;4!; ABEF+;4!; FECD FGEH=;4!; ABCD=12(cm ) 24 cm 24 cm 12 cm 58 1) PAB+ PCD=;2!;_ ABCD=24(cm ) 2) PBC+ PDA =;2!; ABCD=;2!;_48=24(cm ) 24 cm 24 cm
3) PAB+14=24PAB=10 cm 10 cm 4) PDA+9=24PDA=15 cm 15 cm 59 1) PAB+ PCD= PBC+ PAD=5+9 =14(cm ) 14 cm 2) PDA+14=12+9 PDA=7 cm 3) PBC+ PDA=;2!; ABCD PBC+ PDA=;2!;_24=12(cm ) 7cm 12 cm 4) 16+ PCD=;2!;_9_6PCD=11 cm 11 cm 60 1) x=5 5 2) x=10 10 3) x=2_7=14 14 61 1) ABO x= OAB=40 2) OBC=90-29 =61 x= OBC=61 3) OCB= OBC=42 OBC x=42 +42 =84 62 1) DB BC DCB90 2) 1809090 40 61 84 63 1) 902) 903) AC 4) BO DO 64 BO =DO 65 1) x=9 9 2) x=6 6 3) x=5 5 66 1) 90 2) x=90-48 =42 42 3) ABD x= ADB=25 67 ADO= ABO AOB=90 x+ y=180-90 =90 25 90 68 1) CD AD CD DA 2) DC AD DO AO CD 69 1) 72) 53) 904) 90 70 BOA= BOC CD =AD COD=90 71 1) 102) x=2_7=14 14 3) x=18 2=9 9 72 1) x=90 2) BCO x=45 3) ADB=45 AED x=24 +45 =69 73 1) 12 cm2) 90 3) 45 4) AOB=90 AOB=;2!;_AO _BO AOB=;2!;_6_6=18(cm ) 90 45 69 18 cm 5) ABCD=4_ AOB=72(cm ) 72 cm 74 1) ABE+ BAE=125 ABE=90 BAE=35 ABEBCF AB =BC ABE= BCFBE =CF ABE BCF(SAS ) CBF= BAE=35 35 2) GBE GBE+ GEB=90 BGE=90 AGF= BGE=90 90 75 1) 112) 90 76 BOC= DOC AD =CD 77 1) 82) 103) 90 78 1) 2) 3)
4) 5) 180 90 6) 79 1) AD //BC AD =BC 2) 3) 4) 5) 6) 80 1) AB =DC DC 2) AC =DB DB 3) 4) ABD DCAABD= DCA 5) ABC= DCB ABD= DCA OBC= OCB 6) OC DCB DCA OCB 81 1) x=5 5 2) x=12 12 3) DB =AC =11 x=11-9=2 2 82 AD =AB =CD =8BC =16 ABCD 3_8+16=40 40 83 1) x=50 50 2) x=180-110 =70 70 3) OBC= ADB=35 x=25 +35 =60 4) ACB= DAC=40 x=75-40 =35 60 35 5) BOC= AOD=100 OBC x=;2!;_(180-100 )=40 40 84 1) x=;2!;_(10-4)=3 3 2) x=6+2_2=10 10 3) AD =BE =9 x=17-9=8 8 85 DEC BE =AD =8 DE =CD =EC =12 ABCD 12+(8+12)+12+8=52 52 86 1) 2) 3) 87 1) 2) 3) 4) 88 1) 2) 3) 4) 5) 6) 89 90 91 1) 2) 3) 4) 5) 92 1) 2) 3) 93 10 EFGH 4_10=40 40 94 1) AD //BC ABC DBC DBC 2) AD //BC ABC DBC B A 8 D 12 12 8 E 12 60 C DBC
3) AB //DC ABC ABE ABF ACD= ABC=;2!; ABCD ABE ABF ACD 95 1) BC :CD =1:2ABC : ACD=1 : 2 ACD 20 20 2) BC :CD =2:3ABC : ACD=2 : 3 ACD ;2#;_10=15 96 1) ABC= DBC OAB+ OBC= ODC+ OBC OAB= ODC=9 cm 2) ABC= DBC ABC=9+13=22(cm ) 3) ABD= ACD ABD=7+9=16(cm ) 97 1) AD // BC DBC= ABC=24 cm 2) AD //BC DEC= AEC 15 9cm 22 cm 16 cm 24 cm ABE+ DEC= ABE+ AEC=24(cm ) 3) DMC=;2!; DBC=;2!; ABC=12(cm ) 24 cm 12 cm 98 AC //DE ACD= ACE=8 cm ABCD=6+8=14(cm ) 14 cm 99 1) AEC= DEC ABE+ DEC=;2!;_ ABCD ABE+ DEC=60(cm ) BE :EC =2:3ABE : DEC=2 : 3 ABE=;5@;_60=24(cm ) 24 cm 2) BE :EC =3:1DBE : DEC=3 : 1 DEC=;4!;_60=15(cm ) 15 cm 3) BE :ED =2:1ABE : AED=2 : 1 ABE=;3@;_60=40(cm ) 40 cm 100 1) AO :OC =2:3OAB : OBC=2 : 3 OAB=24 cm 24 cm 2) ODC= OAB=24 cm 24 cm 3) AO :OC =2:3OAD : ODC=2 : 3 OAD=16 cm 16 cm -1 pp.88~99 01 1) E2) EF3) F 02 1) H2) EH3) E 03 1) AB DE =10 6=5 3 5:3 2) BC EF =5 3 15 EF =5 3 EF =9 cm 9cm 3) B E 60 04 1) AB EF =4 6=2 3 2 3 2) AD EH =2 3 6 EH =2 3 2EH =18 EH =9 cm 3) F B F=80 H=360 -(120 +80 +80 )=80 05 1) AC DF =2 1 AC 4=2 1 AC =8 cm 2) AB DE =2 1 12 DE =2 1 2DE =12 DE =6 cm 3) BC EF =2 1 10 EF =2 1 2EF =10 EF =5 cm 9cm 80 8cm 6cm 5cm 4) AB +BC +CA =12+10+8=30(cm) 30 cm 5) DE +EF +FD =6+5+4=15(cm) 15 cm 6) ABC 30 cm DEF 15 cm 30 15=2 1 06 1) AD EH =3 2 AD 4=3 2 2AD =12 AD =6 cm 2) BC FG =3 2 BC 6=3 2 2BC =18 BC =9 cm 3) AB EF =3 2 9 EF =3 2 3EF =18 EF =6 cm 4) DC HG =3 2 12 HG =3 2 3HG =24 HG =8 cm 2 1 6cm 9cm 6cm 8cm 5) ( ABCD )=9+9+12+6=36(cm) ( EFGH )=6+6+8+4=24(cm) ABCDEFGH 36 24=3 2 3 2
07 1) CGHDKOPL 12 8=3 2 3 2 2) GH 3) GH OP =3 2 18 OP =3 2 3OP =36 OP =12 cm 4) NO 5) 15 cm 3 2 12 cm 08 1) ABCGHI AB GH =6 3=2 1 2 1 2) BC HI =2 1 8 HI =2 1 2HI =8 HI =4 cm 3) AC GI =2 1 10 GI =2 1 2GI =10 GI =5 cm 4) AD GJ =2 1 AD 7=2 1 AD =14 cm 2 1 4cm 5cm 14 cm 09 1) AB 12 8=3 2 3 2 2) B x cm 3 x=3 2 x=2 3) A 2p_3=6p(cm) B 2p_2=4p(cm) 2 cm A 6p`cmB 4p cm 4) AB 6p 4p=3 2 3 2 10 1) AB 25 15=5 3 5 3 2) B x cm 10 x=5 3 5x=30 x=6 3) A 2p_10=20p(cm) B 2p_6=12p(cm) 6 cm A 20p cmb 12p cm 4) AB 20p 12p=5 3 11 1) 5 3 SSS 2) SAS 3) AA 12 1) ABDª DBCSSS 2) AEDª CEBSAS 3) ABEª ACDAA 13 1) ABCª ONM(SAS ) 2) JKLª QRP(SSS ) 3) GHIª SUT(SAS ) 4) DEFª WXV(AA ) 14 1) 2) 3) SAS 4) 5) C=60 D=70 AA 15 1) B 2) AB DB BC BA 3) AB DB =12 8=3 2 BC BA =18 12=3 2 3 2 4) SAS SAS 5) 3 2 6) AC DA =3 2 x 10=3 2 x=15 15 16 1) ABCEBD B AB EB =BC BD =3 2 ABCª EBD(SAS ) ABCEBD 3 2 AC ED =3 2 9 x=3 2 x=6 6 2) ADEACB A AD AC =AE AB =2 3 ADEª ACB(SAS ) ADEACB 2 3 DE CB =2 3 10 x=2 3 2x=30 x=15 15 17 1) C2) DAC 3) AA AA 4) BC AC =9 6=3 2 3 2 5) AC DC =3 2 6 x=3 2 x=4 4
18 1) ABCAED A B= AED ABCª AED(AA ) ABCAED AB AE =2 1 AC AD =2 1 AC 4=2 1 AC =8 x=ac -AE =2 2 2) ABCDAC C B= DAC ABCª DAC(AA ) ABCDAC AB DA =6 5 BC AC =6 5 9 x=6 5 6x=45 x=: 2 : ;; 2 ;; 5) BDE= FCE=90 E BEDª FEC(AA ) 23 1) AB =BH BC x =4_16=64 x=8 ( x>0) 8 2) AB =BH BC 20 =16_(16+x) 25=16+x x=9 9 3) AC =CH CB x =3_12=36 x=6 ( x>0) 6 4) AC =CH CB 6 =4_(x+4) 9=x+4 x=5 5 5) AH =HB HC x =9_16=144 x=12 ( x>0) 12 6) AH =HB HC 4 =x_2 16=2x x=8 8 19 1) ABCª HBAª HAC 2) HB HA 3) CB CA 20 1) HEC 2) ABCª HEC BC EC =10 5=2 1 AC HC =2 1 AC =8 cm AE =AC -EC =3(cm) 21 1) AEB= ADC=90 A ABEª ACD(AA ) 2) 3) AEB= FDB=90 ABE ABEª FBD(AA ) 4) ABEª FBD EAB= DFB DFB= EFC() EAB= EFC AEB= FEC=90 ABEª FCE(AA ) 22 1) ACB= ADF=90 A ABCª AFD(AA ) 2) ACB= EDB=90 B ABCª EBD(AA ) 3) ADF= ECF=90 AFD= EFC() ADFª ECF(AA ) 4) 3cm -2 pp.100~126 24 1) AB AD =BC DE 10 6=x 9 x=15 15 2) AB AD =AC AE x 8=15 10 10x=120 x=12 12 3) AB AD =AC AE 6 3=x 4 3x=24 x=8 8 4) AD DB =AE EC 6 x=3 2 3x=12 x=4 4 5) AD DB =AE EC 4 10=x 15 10x=60 x=6 6 25 1) AB AD =10 6=5 3AC AE =8 5 BC //DE 2) AB AD =10 6=5 3 AC AE =15 9=5 3 BC // DE 3) AD AB =5 10=1 2 AE AC =6 12=1 2 BC //DE 4) AD DB =6 3=2 1AE EC =8 5 BC //DE 5) AD DB =5 5=1 1 AE EC =4 4=1 1 BC //DE 6) AD DB =9 12=3 4 AE EC =12 16=3 4 BC // DE 26 1) AB : AC =BD : CD 6:4=x : 2 x=3 3 2) AB :AC =BD :CD x:11=5:5 5x=55 x=11 11
3) 6 : 12=x : (9-x) 12x=54-6x 18x=54 x=3 3 4) 8:6=(7-x) :x 8x=42-6x 14x=42 x=3 3 27 IABC AD A 15:AC =6:4 AC =10 cm 10 cm 28 1) AB :AC =BD :CD BD :CD =12:8=3:2 3:2 2) ABD : ACD=BD :CD =3 : 2 3:2 3) ABD : ACD=3 : 2 27 : ACD=3 : 2 3 ACD=54ACD=18 cm 18 cm 29 1) AB :AC =BD :CD 9 : x=24 : 16 x=6 6 2) AB :AC =BD :CD x:4=(6+8) :8 8x=56 x=7 7 3) AB :AC =BD :CD 10:8=(x+16) :16 8x+128=160 8x=32 x=4 4 4) AB :AC =BD :CD 8 : 5=16 : (16-x) 128-8x=80 x=6 6 30 1) 4 :6=6 :x 4x=36 x=9 9 2) 3 :9=x:12 9x=36 x=4 4 3) 5:2=x:3 2x=15 x=: 2 : : 2 : 4) (x-2) :2=10:4 4x-8=20 4x=28 x=7 7 5) 6:10=x:15 10x=90 x=9 9 6) 8:3=x:4 3x=32 x=: 3 : : 3 : 31 1) 13 cm 2) BH =BC -HC =20-13=7(cm) 7cm 3) AE :AB =EG :BH 10 : 14=EG :7 EG =5 cm 5cm 4) GF =AD =13 cm 13 cm 5) EF =EG +GF =5+13=18(cm) 18 cm 32 1) GF =AD =6BH =BC -HC =13-6=7 AE :AB =EG :BH EG =3 EG =3GF =6 2) GF =AD =5BH =15-5=10 AE :AB =EG :BH EG =6 EG =6GF =5 33 EG =AD =8HC =14-8=6 AE :AB =GF :HC GF =2 EF =EG +GF =8+2=10 10 34 1) AE :AB =EG :BC 5 : 10=EG :18 10EG =90 EG =9 cm 9cm 2) AD // EF //BC DF :FC =AE : EB =1:1 1:1 3) CF :CD =GF :AD 1 : 2=GF :12 2GF =12 GF =6 cm 6cm 4) EF =EG +GF =9+6=15(cm) 15 cm 35 1) AE :AB =EG :BC 18 : 30=EG :45 EG =27 CF :CD =GF :AD 12 : 30=GF :20 GF =8 EG =27GF =8 2) CF :CD =GF :AD 6:15=GF :10 GF =4 AE :AB =EG :BC 9 : 15=EG :15 EG =9 EG =9GF =4 36 CF :CD =GF :AD 6 : 9=GF :6 GF =4 EG =7-4=3 AE :AB =EG :BC 3:9=3:BC BC =9 9 37 1) AB //DC BE :ED =AB : DC 3:2 2) BF :BC =BE : BD =3:5 3:5 3) BF :BC =EF :DC 3 : 5=EF :10 5EF =30 EF =6 cm 6cm 38 1) BE :ED =AB :DC =1:2 BE :BD =EF :DC 1:3=x:12 3x=12 x=4 4 2) BE :ED =AB :DC =2:1 BF :BC =BE :BD x:18=2:3 3x=36 x=12 12 3) CF :CB =EF :AB =3:4 EF :DC =BF :BC 6:x=1:4 x=24 24 39 1) x=mn =;2!; BC =;2!;_18=9 9 2) x=bc =2MN =2_11=22 22 3) x=bc =2MN =2_12=24 24
40 1) x=an =5 52) x=;2!;ac =8 8 3) x=2mn =16 16 41 1) DE =;2!; CA =;2!;_20=10(cm) EF =;2!; AB =;2!;_12=6(cm) FD =;2!; BC =;2!;_28=14(cm) ( DEF ) =DE +EF +FD =30(cm) 30 cm 2) DE =;2!;AC =5(cm)EF =;2!;AB =4(cm) FD =;2!;BC =6(cm) ( DEF ) =DE +EF +FD =5+4+6=15(cm) 15 cm 3) ( DEF ) =;2!;_( ABC ) =;2!;_(AB +BC +CA ) =;2!;_(9+11+6)=13(cm) 13 cm 4) ( DEF ) =;2!;_(15+16+15)=23(cm) 23 cm 5) ( DEF ) =;2!;_(12+15+13)=20(cm) 20 cm 42 1) EF HG 2) EH FG 3) EF =HG =;2!; AC =;2!;_20=10(cm) EF =10 cm HG =10 cm 4) EH =FG =;2!; BD =;2!;_18=9(cm) EH =9 cm FG =9 cm 5) ( EFGH )=EF +FG +GH +HE =10+9+10+9=38(cm) 38 cm 43 1) PQ =SR =;2!; AC =4(cm), PS =QR =;2!; BD =5(cm) ( PQRS )=2(PQ +PS )=18(cm) 18 cm 2) PQ =SR =;2!;AC =10(cm), PS =QR =;2!; BD =10(cm) ( PQRS )=2(PQ +PS )=40(cm) 40 cm 3) PQ =SR =;2!;AC =9(cm), PS =QR =;2!;BD =12(cm) ( PQRS )=2(PQ +PS )=42(cm) 42 cm 44 1) ADF AG =GD GE //DF DF =2GE =8(cm) 8cm 2) CBE CD =DB DF //BE BE =2_DF =16(cm) 16 cm 3) BG =BE -GE =16-4=12(cm) 12 cm 45 1) ADF GE =;2!;DF =5 CBE BE =2DF =20 x=be -GE =20-5=15 15 2) CDE GF =;2!;DE =3 ABF BF =2DE =12 x=bf -GF =12-3=9 9 3) ADF EG =;2!;FD =4 BCE EC =2FD =16 x=ec -EG =16-4=12 12 46 1) MQ =;2!;BC =;2!;_6=3(cm) 3cm 2) QN =;2!;AD =;2!;_4=2(cm) 2cm 3) MN =MQ +QN =3+2=5(cm) 5cm 47 1) MQ =;2!;AD =;2!;_13=: 2 :(cm) ;; 2 ;; cm 2) MP =;2!;BC =;2!;_11=: 2 :(cm) ;; 2 ;; cm 3) PQ =MQ -MP =: 2 :-: 2 :=1(cm) 1cm 48 1) EC =AD =9 cm 9cm 2) BE =BC -EC =17-9=8(cm) 8cm 3) MF =;2!;BE =4(cm) 4cm 4) FN =AD =9 cm 9cm 5) MN =MF +FN =4+9=13(cm) 13 cm 49 1) MP =;2!;AD =9PN =;2!;BC =14 x=mp +PN =9+14=23 23 2) MP =;2!;BC =12PN =17-12=5 x=2pn =10 10 3) MP =;2!;AD =6MQ =6+3=9 BC =2MQ =18 18 4) MQ =;2!;BC =3 MP =;2!;MQ =;2#; AD =2MP =3 3 50 1) ABD=;2!; ABC=18(cm ) 18 cm 2) ADC=;2!; ABC=18(cm ) EDC=;2!; ADC=9(cm ) 9cm
3) ABD=;2!; ABC=18(cm ) EBF=;3!; ABD=6(cm ) 6cm 6) EG :BD =2:3 EG :9=2:3 3EG =18 EG =6 cm 6cm 51 1) ABD=2 ABE=22(cm ) ABC=2 ABD=44(cm ) 2) ACD=3 AEC=21(cm ) ABC=2 ACD=42(cm ) 52 ABC=2 ABD=60(cm ) 60=;2!;_12_AH AH =10 cm 44 cm 42 cm 10 cm 57 GD =;3!; AD =16(cm) EGFª CGDCG :GE =2:1 GD :GF =2:1 GF =8 cm 8cm 58 1) GAB= GBC= GCA 12 cm 2) GBC=;3!; ABC=12(cm ) 12 cm 3) GAF=;6!; ABC=6(cm ) 6cm 53 1) AG :GD =2:1 x : 3=2 : 1 x=6 6 2) BG :GD =2:1 14 : x=2:1 x=7 7 3) AG :GD =2:1 GD =4 x=ag +GD =8+4=12 12 4) DG =;3!;DC x=;3!;_15=5 5 5) AD =3GD x=3_2=6 6 6) AG =;3@;AD x=;3@;_21=14 14 54 1) x=2gd =12y=;2!;BG =5 x=12y=5 2) x=2ge =4 E AC y=;2!;ac =5 x=4y=5 3) x=bd =14y=3GE =24 x=14y=24 4) x=2ec =16y=;2!;AG =3 x=16y=3 55 1) GE =;3!;BE =10(cm) 10 cm 2) BE // D F BD =DC DF =;2!;BE =15(cm) 15 cm 4) GDCE= GCD+ GCE =2_;6!; ABC=12(cm ) 12 cm 5) 4_;6!; ABC=24(cm ) 24 cm 6) FBDG+ GCA =2_;6!; ABC+2_;6!; ABC =12+12=24(cm ) 24 cm 59 1) ABC=3 GAC=24(cm ) 24 cm 2) ABC=6 GAE=54(cm ) 54 cm 3) FBDG=2_;6!; ABC=;3!; ABC ABC=3 FBDG=18(cm ) 18 cm 4) ABE=3_;6!; ABC=;2!; ABC ABC=2 ABE=30(cm ) 30 cm 60 1) GED=;2!; GBD=;1 2; ABC=2(cm ) 2cm 2) AMG+ ANG =;2!; GAB+;2!; GCA=;6!; ABC+;6!; ABC =;3!; ABC=8(cm ) 8cm 3) FC =EF =8 cm 4) AC =2EC =2(EF +FC ) =2(8+8)=32(cm) 8cm 32 cm 61 G'BC=;3!; GBC=;9!; ABC=6(cm ) 6cm 62 1) 30 cm 56 1) ADBAA 2) AG :GD =2:1 AF :FC =2:1 2:1 3) AF :6=2:1 AF =12 cm 12 cm 4) AG :AD =2:3 AEGABD 2:3 2:3 5) BD =;2!; BC =9(cm) 9cm 2) BP =;3@;BO =20(cm) 20 cm 3) PO =;3!;BO =10(cm) 10 cm 4) PO =QO PQ =2PO =20(cm) 20 cm 63 1) BP =PQ =QD PQ =;3!;BD =8(cm) 8cm
2) BD =3PQ =9(cm) 9cm 3) PQ =;3!; BD =4(cm) 4cm 4) BD =6OQ =36(cm) 36 cm 64 1) AB :A'B' =3:5 3:5 2) 3_4=12(cm) 12 cm 3) 5_4=20(cm) 20 cm 4) 12:20=3:5 3:5 65 1) 1:2 2) ABC=;2!;_10_7=35(cm ) 35 cm 3) A'B'C'=;2!;_20_14=140(cm ) 140 cm 4) ABC : A'B'C'=35 : 140=1 : 4 1:4 66 1) AMNª ABC(SAS ) AMNABC AM :AB =1 : 2 AMN : ABC=1 : 4 AMN=15 cm 2) BDEª BCA(AA ) 15 cm BDEBCA DB : CB =1 : 3 BDE : BCA=1 : 9 BCA=72 cm 72 cm 67 1) AODCOB 2:3 4:9 4:9 2) AOD : COB=4 : 9 40 : COB=4 : 9 4 COB=360 COB=90 cm 90 cm 3) BO :DO =3:2AOB : AOD=3 : 2 AOB : 40=3 : 2AOB=60 cm 60 cm 4) AO :CO =2:3AOD : COD=2 : 3 40 : COD=2 : 3COD=60 cm 60 cm 5) ABCD = AOD+ COB+ AOB+ COD =40+90+60+60=250(cm ) 250 cm 68 1) 4:6=2:3 2:3 2) (4_4)_6=96(cm ) 96 cm 3) (6_6)_6=216(cm ) 216 cm 4) 96 : 216=4 : 9 4:9 69 1) 5:72) 5 :7 =25:49 25:49 3) 25 : 49=100p : ( B) 4900p ( B)= =196p(cm ) 25 196p cm 70 1) 9:15=3:5 3:5 2) x cm 6:x=3:5 3x=30 x=10 3) : (6_6)_9=324(cm ) : (10_10)_15=1500(cm ) 10 cm10 cm : 324 cm :1500 cm 4) 324 : 1500=27 : 125 27 : 125 71 1) 4:8=1:2 1:2 2) 1 :2 =1:8 1:8 3) 1:8=( ) : 192p ( )= =24p(cm ) 24p cm 72 3 :4 =27:64 27:64 73 1) 1.2 : (1.2+2.4)=1.2 : 3.6=1 : 3 1:3 2) BC : B'C' =1 : 3 1.9 : B'C' =1 : 3 B'C' =5.7 m 5.7 m 74 1) ABCDEF 3:12=1:4 AC :DF =1:4 2:DF =1:4 DF =8 m 2) ABCAQP 6:54=1:9 BC :QP =1:9 4:QP =1:9 QP =36 m 75 1) ()= 8m 36 m 4cm 4cm = = =;50 00; ;50 00; 200 m 20000 cm 1cm 1cm 2) ()= = =;4000!00; 4km 400000 cm 4000!00; 5cm 3) ()= =;200!00; ;200!00; 100000 cm 25 cm 4) ()= =;2000!00; ;2000!00; 5000000 cm 76 1) ( ) =( )_()=5 km_;100!00; =500000 cm_;100!00;=50(cm) 50 cm 2) ( )=1.4 km_;100!00;=14(cm) 3) ( ) 192p 8 ( ) ( ) 14 cm =8 cm ;100!00;=80000 cm=0.8(km) 0.8 km 4) ( )=20 cm ;100!00;=2(km) 2km
3 7 00' 100m 5 20m N =4cm 50000=200000cm=2000m=2(km) 300-100=200(m) 1km 1:x=2 : 200 x= 200 2 2km 1.1=2.2(km) =100(m) m 100 1.1 0.85 100~150 1.2 0.8 150~200 1.3 0.7 2.2 km 3.4 km?0.647_60?39 m 200~250 1.4 0.6 250~300 1.5 0.5 300~400 1.6 0.4 4km 0.85 = 3.4 km
1985NASA Teacher in Space Program Barbara Morgan 33 NASA 1986 1 Christa McAuliffe 11,000 1986 1 22 23 24 27 9 53 1986 1 28 11 38 73 1989 NASA 2003 21 2007 8 14 55 2