VI 01 a=5b=8 a+b=5+8=1 01- a=8b=1c=6 a-b+c=8-1+6= 01-01 0 Í 0 04 05 06 07 08 e f e f 01 4 6 0 8 1 01 01-01- 46 8~1 0 0-0- 0-0 0-15 cm 0-0- 0-1 cm 04 0 04-04- 18 04-60 04-05 05-05- 06 06-16. 06-07 07-07- 08 7 08-08- 08-4 08-09 60 09-09- 10 10-10- 45 10-10- 6 11 110 11-7 11-65 01 8 0 1 0 11 57 0 04 ;!; ;4!; 05 50 0 06 60 10 10 07 O 90 08 6cm 09 10 11 E F EF GH G H FG EH 1 E F E EF F 1 FE GF HG EH EFGH 14 45 60 70 15 15 04070 0 + + 0- QR +QS PQ +QP SR +RQ 0- Í Í Í Í Í Í 6 0 M M =;!; =;!;_18=9(cm) MN =;!;M =;!;_9=(cm) 0- MN MN =M +N =;!; +;!; MN=;!;( + )=;!; MN=;!;_0=15(cm) 0- =5-9=16(cm) M M =;!; =;!;_16=8(cm) M = +M =9+8=17(cm) 0- N M M =N =_=4(cm) M =M =_4=8(cm) = =;!; =;!;_8=4(cm) = + =8+4=1(cm) 0- = =;@; =;@;_4=16(cm) = =;4#; =;4#;_16=1(cm) 04 O= O=O= +90 +=180 +90 =180 =90 =0 O=0 04- (+40 )+(-0 )=180 4+0 =180 4=160 =40
04-4++90 =180 5+90 =180 5=90 =18 04- O=O+O=;!;O+;!;OE O=;!;(O+OE)=;!;OE O=;!;_180 =60 5 04- y=180 _ =180 _;9%;=100 +5+1 05 +55 +=180 5+55 =180 5=15 =5 05- +0 =-10 =40 =0 05- (y+7 )+90 +(y-16 )=180 y+81 =180 y=99 y= =y-16 =_ -16 =50 -y=50 - =17 06 Í O =O 06-9###m 1###m 7.###m 5.4###m 9.6###m =7. y=9 +y=7.+9=16. 06-6cm 07 07-07- Í EÍ 1 a=1 Í ÍÍEFÍFÍ 4 b=4 b-a=4-1= 08 EH FG a= FG E H 4 b=4 a+b=+4=7 08- E F G H I EJ 5 a=5 HI HI FGHIJ b= a-b=5-= 08- FE G GH H 4 08-1 4 4 4 4 08- mn mn mn mn mmn n mmn n 09 =180 -(90 +0 ) =60 09- b g c e 10 09- =180 -(56 +7 )=5 y=56 +7 =18 y-=18-5 =76 10 mpq pq =10 10- mn n =55 10- mpq pq (-5 )+(y-40 ) +y-65 =180 +y=45 =180 10- mpqr pqr a+b+c+d+5 =180 a+b+c+d=155 m 0 0 n m p m p q m y 40 40 0 10 0 0 0 55 5 5-5 -5 y-40 q m 40 40 a p a q b a+b c r a+b+c m d 7 56 7 5 5
10- mpq p, q ( +_)=14 +_=6 =6 11 11-11- EF=GEF =5 GFE=EF =5 =180 -(5 +5 )=110 =F= F== +=74 =74 =7 +=40 +40 +50 =10 =65 01 1 0 1 0.5 1 6 b-a=6 _6 -(0 _+0.5 _6) b-a=156-7 =8 0 IJFE IH HIJK GFJK GEF 5 a=5 FG H I E HK IJ 8 b=8 a+b=5+8=1 0 mn n 64 +(-7 )=90 +57 =90 = =11 14~15 01 0 0 04 05 06 50 07 08 6 09 10 11 1 1 14 15 16 50 01 a=10b=15 b-a=15-10=5 0 p m n m 40 F E 74 P 40 50 Q G E 5 5 5 F 11 1 1 10 a 64 q 9 8 b 4 7 6 5 64-7 -7 0 QR +QS PQ +QP SR +RQ 04 N N =N =(cm) = =6N =6_=18(cm) M M =;!; =;!;_18=9(cm) MN =M +N =9+=1(cm) 05 60 ++(-1 )=180 4+48 =180 4=1 = 06 O+O=90 O+O=90 O+O+O=180 O+O=80 O+80 =180 O=100 O=50 07 (4-5 )+(+5 )+=180 7-0 =180 7=10 08 ÍEÍ OOEOE O Í FÍ O OFOF O EÍ FÍ =0 O EOFOF OE ++=6 09 m 10 GH FG E EH H 4 G EF EH 4 11 F 1 PQQR PR 1 m m 14 =40 y=180-75 =105 +y=40 +105 =145 75 m y 75 O (, E) F 40 E F
15 mn n +(+10 )=70 +10 =70 =60 =0 16 EFG=180-115 16~17 01 0 0 10 04 05 06 75 07 10 08 09 10 6 11 1 1 7 14 5 15 5 16 156 01 1 0 + + 0 P P P P P P 10 04 E = + = +;!; E =4+;!;_10=9(cm) 05 =5 =48_ =48-0=18(cm) =48_;8%;=0(cm) PQ P =;!; =;!;_0=15(cm) Q =;!; =;!;_18=9(cm) P -Q =15-9=6(cm) 5 06 z=180 _ =180 _;1 ;=75 +4+5 07 1 0 1 0.5 1 6 =65 EF=EFG =65 GEF=EF=65 EGF =180 -(65 +65 )=50 b-a=6 _40 =-(0 _+0.5 _40) b-a=40-110 =10 08 90 +(+ )+(+8 )=180 5+100 =180 5=80 =16 09 8cm 5 5+ n m +10 +10 E 65 115 G 65 F 11 1 1 10 a 9 8 b 4 7 6 5 10 F G a= F G E E 4 b=4 a+b=+4=6 11 IH MN K N EFGH JI 1 a e c e d g f c 1 +4 +100 =180 +14 =180 =7 14 =60 45 +60 =4+5 4=100 =5 15 mpq pq 5 +=70 =5 16 c=180 -(56 +80 )=44 a=c=44 b=;!;_(180-44 )=68 a+b+c =44 +68 +44 =156 (I, M) m (H) p q m J(L) E 4 145 a 100 110 5 40 N (G) K 5 b b c 56 80 (F) 80 80 18~19 01 8cmcm5 cm 0 5 0 5 04 80 05 6cm 06 95 07-80 07-14 07-50 01 =M =4MN =4_=8(cm) N =;!;M =;4!; =;4!;_1=(cm) =M =_10=0(cm) MN =;!;M =;!;M =;!;_10=5(cm) +MN =0+5=5(cm) 70
0 EH FG F F H EH GH 5 0 (4-11 )+(+10 )+90 =180 7+89 =180 7=91 +10 =y-1 =1 _1 +10 =y-1 49 =y-1 y=80 y=40 +y=1 +40 =5 04 EF=EFG=70 FEG=EF=70 IEG=180 -(70 +70 )=40 EIG=180-10 =60 EGI EGI=180 -(40 +60 )=80 05 =;!; =;@; =;@;_6=4(cm) =;!; =;4!; =;4!;_4=6(cm) 06 1 0 1 0.5 1 6 b-a=6 _50 [] -(0 _6+0.5 _50) b-a=00-05 =95 07- mn n [1] =45 +5 =80 [] 07- mpq pq [1] 5 -=+10 =4 =14 07- G=180-105 =75 [1] G G =-(75 +80 +75 ) [] [] [] [] =10 [] ÍEFÍ =GH=180-10 =50 n m p q m +10 0 0 F E G H 105 75 10 75 50 80 11 1 1 10 9 a b 8 4 7 6 5 45 45 5 5 5 - [] 01 0 0 < < < 04 05 SSS S SS 01 0 PQ 0 O PQ X 04 05 06 4cm45 07 SS S 04 4<+ 6=+4 8>+4 1 0 05 01 01-01- 0 0 04 05 ~5 0-0- 0-0- 04-05- 06 06-8 06- FG =8 cmh=95 06-07 SSS 07-08 5 cm 08-08- 5 cm 01 0 9 0 10 07-01-
0- O =O =P =P = O = 0- = =PQ =PR =QR 0 6<+6 6<+4 8=4+4 8<5+5 9<5+6 0-7=4+ 1 7<4+4 1 7<4+7 10<4+7 1>4+7 0- +5 +5<+(+) +5<+ > 04-05 05- +=180 06 S 06- =EF =5(cm) =5 F==180 -(64 +8 )=78 y=78 +y=5+78=8 06- FG = =8(cm) H==-(115 +90 +60 )=95 06-07- M M M =M M =M M=M M M SS 07-90 08 E F = E =F E=F=90 E FSS F =E =5(cm) 08- E = =E =E+60 =E E SS 08- OH OI O =O OH=OI=45 OH=90 -HO=OI OH OIS =OH+OI =OH+OH =O =;4!;_ =;4!;_(10_10) =5(cm ) 01 O O P P a= 1 b=1 a-b=-1= 0 11 11<5+ >6 <5+11 <16 6<<16 789y15 9 0 E F = = P E =F = F E=F==60 Q R E F E SS +_=60 Q=R=180 -( +_)=180-60 =10 PQR=PRQ=180-10 =60 PQR+PRQ=60 +60 =10
6~7 01 0 0 04 05 06 07 08 09 10 11 1 1 14 15 10 0 = =PQ =PR =QR = QR =PR =QPR = 05 10<6+6 10<6+10 10=6+4 1<6+10 06 7cm ( cm5cm7 cm) 1 9cm ( cm7cm9 cm)(5 cm7cm9 cm) 1+= 07 +=180 08 09 =Q=60 10 11 S 1 SS 1 = = SSS = = SSS E E E=EE=E = E ES 14 E F = E =F E=F=90 E FSS PF=PE=180 -(PE+PE) =180 -(P+PE)=E=90 15 F E =E F = F=E=60 F ESS F+E=F+F =180 - =180-60 =10 01 0 0 04 05 06 4 07 08 09 74 10 11 1 7cm 1 14 4 8~9 01 0 = =PQ =PR =QR PQ =QR =QPR ==PQR=PRQ =QRP=QPR 04 9>+5 7<4+6 8<8+8 14<1+1 0=10+0 05 +1 +1<+(+8)+1<+8 >4 06 4 4 07 08 09 =GH =9(cm) =9 H==-(15 +90 +80 )=65 y=65 +y=9+65=74 10 SSS SS S
11 E = E=180 -(+E) =180 -(+)= E S 1 E = =90 -E=E =90 -=E E S =E =5(cm) =E =E - =1-5=7(cm) 1 E E = E =E E=E=90-60 =0 E E SS E=E=;!;_(180-0 )=75 E=-(75 +60 +75 )=150 14 E = E = E=+60 = E SS =E=60-6 =4 0~1 =EH =6(cm) =FG =+5 =5 0 ( cm5cm6 cm) 1 (5 cm6cm8 cm) 1 1+1= 04 E = =90 -=E =90 -=E E S =E = +E =E +E =6+1=18(cm) 05 [] [] [1] 06 EF SS E EF E =E [] EF SSS =F [] 07- E E = E =E ==90 E E [] SS [1] 01 0 10 75 6cm 5 0 04 18 cm 05 06 =E =F 07- ESS 07-18 cm 07-9cm 07- E = E = E=+60 = E SS E = = + =5+4=9(cm) [] [] 01 0 =E=10 F==65 G=-(90 +65 +10 )=75 07- G G E G = G =E G=90 -G 6###cm =E G E SS E=G=;!;_6_6=18(cm ) F E 7###cm [] []
VII 01-8-=5 a=5 8-=6 b=6 a+b=5+6=11 01 E 0 5555 0 540 01- n n-=10 n=1 1_(1-) =54 01 0 0 11 5 9 n- 04 70 50 05 110 80 06 606090 540540108 4707010 n-n-n 07 110 70 08 606090 60607 606060 6060 04 60 +50 +=180 =70 +40 +90 =180 05 =65 +45 =110 +40 =10 01 01-11 01-54 0 01-01- 0-100 0-75 4~7 0 0-0- 8 0-0- 0-04 04-04- 04-05 05-90 05-06 1 06-06- 07 07-07- 105 07-01 90 0 01 n n-=4 n=7 7_(7-) =14 =50 =80 07 70 +50 ++10 = +50 = =110 80 +75 ++90 +45 = +90 = =70 01- n n(n-) =5n(n-)=70=10_7 n=10 01-6-= 6-=4 0 (+40 )+(-10 )+=180 6+0 =180 6=150 =5 0- =180 -(75 +55 )=50 0-180 _ =;!;=;!;_50 =5 =180 -(5 +55 )=100 =180 _;1 ;=75 0 +(+40 )=100 +40 =100 =60 0- =(180-10 )+55 =115 0- +5 =11 =60 =;!;=;!;_60 =0 =0 =0 +5 =8 0- =180 -(6 +44 ) =110 E y=44 +0 =74 +y=110 +74 0- =184 == =+ = == +=10 =10 5 +4+5 =40 44 y 6 0 10 E E
0- E=80 + E=+=+;!; E=;!;E +;!;=;!;_(80 +) =40 04 n n-=9 n=1 180 _(1-)=1800 04-180 _(5-)=540 115 ++10 +95 +=540 +40 =540 =00 04- n =100 180 _(n-)=1080 n-=6 n=8 8 04-180 _(6-)=70 10 +100 ++(180-0 )+90 +(180-40 ) =70 +610 =70 =110 05 n n(n-) =7n(n-)=54=9_6 n=9 180 _(9-) 9 =140 05-60 90 =10 =-(60 +90 +10 )=90 05-180 _(8-) 8 =15 =;!;_(180-15 )=.5 =15 -.5 =11.5 06 +6 +(180-105 ) = 180 _(6-) 6 +(180-90 )+y +y+8 = +y=1 06- +50 +5 +(180 -)+6 +75 = 40 -= 75 6 =60 105 y 06- n 180 _(n-)+=1980 180 _n=1980 n=11 07 n 180 _(n-)=1440 n-=8 n=10 =6 07- =40 9 07- =60 =45 =60 +45 =105 07- n 180 _ =180 _;6!;=0 =0 n=1 n 01 10 6 8 =9 0 a+b+c+d+e+f =G =180 _-180 = 1 5+1 6_(6-) 0 180 _(5-) 5 =108 E =E =;!;_(180-108 )=6 =108 -(6 +6 )=6 E=6 F y=6 +6 =7 y-=7-6 =6 +E +GF -
8~9 01 0 14 0 91 04 05 06 18 07 08 09 10 11 80 1 1 14 15 60 16 4_(4-) 5_(5-) 01 = =5 9_(9-) 11_(11-) =7 =44 1_(1-) =65 0 7_(7-) =14 0 n-=11 n=14 14_(14-) n+a=14+77=91 =77 a=77 04 6_(6-) =9 n n-=9 n=1 1 05 +=180-70 =110 I+I=;!;(+) I+I=;!;_110 =55 I =180 -(I+I) =180-55 =15 06 (-10 )+=+6 5-10 =+6 4=7 07 =98-64 =4 ==_4 =68 =64 +68 =1 08 ==6 =6 +6 =7 ==7 =7 +6 =108 09 180 _(6-)=70 =18 10 +90 +15 ++140 +(180-0 )=70 +65 =70 =85 10 n 180 _(n-)=160 n-=7 n=9 9-=6 11 E E E+E=180-180 _(5-)=540 90 +100 +80 +(180 -) =540 60 -=540 01 n n-=4 n=6 +50 +10 =80 1 n n(n-) =54n(n-)=108=1_9 n=1 180 _(1-) 1 =150 1 14 +(180-90 )++78 = +9 = =68 14 180-140 =40 n n =40 n=9 15 =60 6 P=P=60 P P=180 -(60 +60 )=60 8_(8-) 16 =0 180 _(8-) =15 8 =45 8 100 80 10 50 40~41 01 0 7 0 190 04 4 05 06 07 180 08 09 10 11 1 1 14 15 0 16 E F
0 17-=14 n n(n-) =14, n(n-)=8=7_4 n=7 0 0 0_(0-) 0+170=190 =170 04 + =180-10 =60 (50 +)++(8 +)=180 50 +(+)++8 =180 50 +60 ++8 =180 +18 =180 05 =70 +5 =105 =4 y=-50 =105-50 =55 +y=105 +55 =160 n(n-) 06 =180-110 =70 =;!;=;!;_70 =5 50 8 10 11 180 _(5-) 5 =108 =;!;_(180-108 )=6 =108-6 =7 1 1 80 +76 +70 +(180 -)+48 = 454 -= =94 14 n =0 n=18 n 18 15 n 180 _(n-)+=160 180 _n=160 n=1 =0 1 16 =6 10 =75-5 =40 =180-40 =140 07 a+b+c+d+e = =180 b c a b+d e a+c d 4~4 01 14104157.5.5 0 70 75 0 18 04 60 05 40 06 7 07-90 07-0 07-16 08 180 _(1-)=1980 09 n n(n-) =44n(n-)=88=11_8 n=11 180 _(11-)=160 10 c+d=e+f 80 +(a+e)+(f+b)+70 = 80 +a+b+c+d+70 = a+b+c+d+150 = a+b+c+d=10 80 c d a b e f 70 01 16-=14 16_(16-) 180 _(16-) 16 16 =.5 =104 =157.5 0 8 +80 ++18 = +90 = 180 _(5-)=540 =70 115 ++(180-50 )+(180-80 )+10 =540 465 +=540 =75
0 86 +(18 +) =180 +(+4 ) 18 ++=180 +=5 =180 -(+) =180-5 =18 180 _(6-) 04 =10 6 EF =FE=;!;_(180-10 )=0 =10 -(0 +0 )=60 F=0 G G=180 -(0 +0 )=10 y=g=10 =60 y=10 y-=10-60 =60 05 =180-145 =5 ==5 =5 +5 =70 ==70 =180 -(70 +70 )=40 [1] [1] [1] 06 180 1 180 _ =180 _;5!;=6 [] 4+1 n n =6 n=10 [] 10-=7 [1] 07- n =4 n=15 [1.5] n 15_(15-) =90 [1.5] 07- [] = =0 =0 [] 1 07- =7 [1.5] 5 =45 [1.5] 8 =-(7 +7 +45 +45 ) =16 [] 18 86 4 01 μ 0 408 0 10p 5p 04 660p 6606p 45 01 (μ) ( ) 0 O μ O μ 0 9 0 04 4 150 05 60 06 =6p cms=9p cm =4p cms=4p cm 07 =p cms=p cm =p cms=p cm 08 5p cm 1p`cm 0 60 0 = 1= =9 01 01-01- 60 0 4 cm 0- =y=80 0 8cm 04 0-0- 14p cm 0-18 cm 05 1p cm05-0- 5cm 04-04- 05-1p cm 06 =8p`cmS=4p`cm 06-4 cm 05-07 6p cm 07- (64-16p)`cm 07- (6p+6) cm 07- (144-4p) cm 07- (8p-16) cm 07- (6p+4) cm 01 10 cm 0 p cm 0 (9p+90) cm 46~49 0-06- 07-44 10 =8 10 =14 =0 04 5 50 = 1= =4 0 =55 0 =15 =150 07 =p_6_; 6º0;=p(cm) S=p_6 _; 6º0;=p(cm ) =p ;!6@0);=p(cm) S=p_ _;!6@0);=p(cm ) 08 ;!;_5_p=5p(cm ) ;!;_6_4p=1p(cm )
01 μ 01-01- O = =O O O=60 0 O O=O 10 0 6`cm =0 0 0 O O O =O O=O=0 O=180 -(0 +0 )=10 10 0 =μ 6 41=μ6 μ=4(cm) 0-0 10 =18 16=18 = 10 y =181 10 y = y=80 0- OOO=μμ μ =4 O=_ =_;9@;=80 ++4 0- O O=O=40 O =O O=O=40 O=180 -(40 +40 )=100 μμ =OO =100 40 =5 0- PO=P=0 O=0 +0 =40 O=O=40 O=0 +40 =60 0 60 =μ15 1=μ15 μ=5(cm) 0 10 40 =4 O 1=4 O O =8(cm ) 0- OO= O7p 1= O7p O=14p(cm ) 0-46= O7 = O7 O=18(cm ) 04 O=;!;O 04-04- 05 = = =;!; =;!;_1=4(cm) =p_+p_4 =4p+8p=1p(cm) 05- r cm pr=18p r=9 p_9 =81p(cm ) 05- =p_8+p_+p_5 =16p+6p+10p=p(cm) 05- =p_7 _;!;-p_4 _;!;+p_ _;!; =: ª:p-8p+;(;p=1p(cm ) 06 =p_6_;@6$0);=8p(cm) S=p_6 _;@6$0);=4p(cm ) 06- p_8_;6{0;=6p =15 15 06- r cm ;!;r_p=6p r=4 4cm 07 ={p_6_;ª6º0;}_ =6p(cm) 07- =8_8-{p_4 _;ª6º0;}_4 =64-16p(cm ) 07- =p ;!;+6+p_6_;ª6º0; =p+6+p =6p+6(cm) 07- =p_1_; 6 0;+4+p_16_; 6 0;+4 =p+4+4p+4 =7p+8(cm) 07- =1_1-{p_1 _; 6º0;}_ =144-4p(cm ) 07- = - =p_8 _; 6 0;-;!;_8_4 45 O =8p-16(cm ) 4`cm
07- ={p ;ª6º0;}_4+6_4 =6p+4(cm) 01 O O==0 O O =O O=O=0 O=0 +0 =60 60 0 =μ5 1=μ5 μ=10(cm) 0 180-60 =10 cm =p ;!6@0);=p(cm) 0 ={p_ _;!6@0);}_ =9p+90(cm ) +(10_)_ O cm 0 6`cm cm 10 cm 60 6 cm ' 50~51 `cm 01 0 =45y=16 0 04 05 80 06 07 1p cm1p cm 08 ;4!; m 09 10 7p cm 11 1 1 4p cm 14 (p-4) cm 15 6cm 16 4p cm 5`cm ' 0 140 =μ 17=μ μ=1(cm) 05 5 O=15p48p 5 O=516 O=80 06 07 =p_4+p_ =p_4 -p_ =8p+4p=1p(cm) =16p-4p=1p(cm ) 08 m p_(6+)=p_6+;!;p p=;!;p =;4!; ;4!; m 09 r cm pr_; 6º0;=8p r=4 ;!;_4_8p=96p(cm ) 10 =p_0 _;!6@0);-p_9 _;!6@0); =00p-7p=7p(cm ) 11 ={p_10_;!;}_4 =40p(cm) 1 ={p_10 _;ª6º0;-;!;_10_10} =(5p-50)_ =50p-100(cm ) 1 _ 10###cm ={p_4_;!;}_4+{p_8_;ª6º0;}_ 10###cm μ 01 O 0 0 =18 0 = =45 O=90-0 =60 0 60 =8y 1=8y y=16 0 OOO=μμ μ =45 4 O=_ =_;1 ;=10 +4+5 04 O O=O `cm =0 O O =O O=O=0 O=180 -(0 +0 )=140 0 O =16p+8p=4p(cm) 14 =p_4 _;ª6º0; 4`cm =-{p_ _;ª6º0;}_-_ 4`cm =4p-p-4=p-4(cm ) 15 = = + + = - =p_ _;!;+p_{;#;}_;!;+;!;_4_ -p_{;%;}_;!; =p+;8(;p+6-: 8 :p=6(cm )
16 11 60 ={p ;!6@0);}_ =4p(cm) 10 ###cm 10 ={p_6_; 6º0;}_ =6p(cm) 1 =;!;_1_1 1`cm =7(cm ) 5~5 01 0 60 cm0 6 04 5 05 06 07 16p cm 08 09 10 11 6p cm 1 1 (50p-100) cm 14 p cm 15 54p cm 16 (4p+1) cm 01 0 0 =5 O 11=5 O O =60(cm) 0 μ=4μ OO=μμ =41 1 O=180 _ =180 _;5!;=6 4+1 04 (+50 )=4p1p (+50 )=1=+50 =50 =5 05 06 =p_10 -p_8 =100p-64p =6p(cm ) 07 =p ;!;+{p_4_;!;}_+p_6_;!; =p+8p+6p =16p(cm) 08 p_8 _ =16p =90 60 90 09 =p_5_; 6º0;+5+p_10_; 6º0;+5 =;%;p+5+: º:p+5 =5p+10(cm) 10 180 _(5-) 5 =108 =p_6 _;!6)0*;=: 5 :p(cm ) 1 ={p_5 _;ª6º0;-;!;_5_5} ={: 4 :p-: :}_8 =50p-100(cm ) 54~55 01 40 0 8 0 54p cm 40 0 (6p+16) cm 04 5p m 05 15p cm 06 84p cm 07-40 07-54 07-0 cm 01 =+40 =40 (+40 )=69 (+40 )=6=+80 4=80 =0 (+40 )=10p0p (+40 )=16=+40 5=40 _8 14 = cm 8_=p_8 _;ª6º0; p cm 15 =8 =p = '+ ' = ' =p_18 _; 6º0; =54p(cm ) 16 ={p ;!6@0);}_+4_ =4p+1(cm) 10###cm - 10 1`cm 10###cm 10 ###cm 4###cm 10
0 =;!;_9_1p=54p(cm ) p_9_;6{0;=1p =40 40 0 180 _(8-) 8 =15 =p_8_;!6#0%;+8+8 =6p+16(cm) 04 =p_ _;ª6º0;+p_8 _;@6&0); =p+48p+4p=5p(m ) 05 =15_;!;=5(cm) =15-5=10(cm) ###m ###m 4###m 6###m =p_: :_;!;+p_;%;_;!;+p_5_;!; 4###m 8###m +p_4 _;ª6º0; [] VIII 01 0 0 04 01 0 0 04 05 06 0 07 a=b=5c=4 57 56 =: :p+;%;p+5p=15p(cm) [] 06 FE =60 6 6cm6+6=1(cm) 6+1=18(cm) [] 7 6 7 10 6 10 15 10 15 =p_6 _; 6º0;+p_1 _; 6º0;+p_18 _; 6º0 =6p+4p+54p=84p(cm ) [] 07- OO=μμ [1] 60 = =40 [] 07- OO=μμ= O=180 _ =180 _;5@;=7 + [] O =O O=;!;_(180-7 )=54 [] 05 4 6 8 1 0 6 1 1 0 0 4 8 6 0 1 4 5 07- O =O O=;!;_(180-10 )=0 [1] 06 O=O=0 [] 0 10 =5μ 14=5μ μ=0(cm) []
58~61 01 01-01- 0 0-0- 0-0- 0-0 0-0- 04 0-04- F 04-0- 05 05-4 05-06 06-06- 06-06- 07 07-07- 440p cm 01 50 0 0 ;; 5 ;; p cm 01 01-01- a=10b=15c=7 a-b+c=10-15+7= 0 n n+=10 n=8 0-0- 5 4 7 8 9 0- a=_4=8b=_6=18 a+b=8+18=6 0- _7=14 0- G E H F G 04 J (I) (H) (F) (G) H E 04- () (E) F F 04-05- 4 05-1 06 06-06- 0- n n+1=1 n=11 11+1=1 _11= a=1b= a+b=1+=4 0 1 0-0- 4 5 0-1 06- =;!;_(4+8)_6 =6(cm ) 07 p_18_;6{0;=p_5 =100 100 07-10###cm =p_10 =0p(cm) =0p_=440p(cm ) 4`cm 6`cm 8`cm ###cm 10###cm
01 n n n(n-) =0n(n-)=40=8_5 n=8 8+=10 _8=16 _8=4 10+16+4=50 0 6 6 8 4 0 H ;!; 4=;!;_5_H =p_{;; 5 ;;} =;; 5 ;;p(cm ) `cm 4`cm 5`cm H H =;; 5 ;;(cm) 08 5 4 09 a=1b=0c=0 a+b+c=1+0+0=6 10 11 1 1 14 =;!;_10_8 8 cm 6~6 01 0 0 6 04 05 4 06 07 08 09 10 11 1 1 14 40 cm 15 (6p+6) cm 01 0 7 5 6 7 8 9 0 a=10+=1 b=_10=0 c=_10=0 a+b+c=1+0+0=6 04 _7=1 05 n n 180 _(n-)=1080 n-=6 n=8 _8=4 06 07 6 1 1 0 4 =40(cm ) 15 =p_6+18+p_1+18 =6p+6(cm) 6`cm 10 cm 18`cm 1`cm 64~65 01 0 0 10 04 05 06 90 07 08 09 10 11 1 1 4 cm 14 15 1 cm 01 0 1 14 10 0 15 0 n n+1=6 n=5 _5=10 04
n n n n 05 n n=6 n=1 _1=4 06 1 1_5=60 0 0_6=10 =90 07 4 08 0 09 5 10 5 4 4 11 1 =;!;_(6+8)_4-;!;_8_1 =8-4 =4(cm ) 15 cm 10 p_ =p_4 =1 60 60+10 1 cm 1`cm 01 0 0 cm 8p cm 0 46 04 11 05 06 16 07-07- 1 07-1 6`cm 8`cm `cm 66~67 01 _6=1 _9=7 0 0 _6=18 1 0 =(_5)_ `cm `cm `cm =0(cm ) 5`cm 1`cm =p_ -p_1 =9p-p=8p(cm ) `cm 0 n n+1=16 n=15 15+1=16 _15=0 a=16b=0 a+b=16+0=46 04 G E H F G G a=7b=4 a+b=7+4=11 05 [] 4 [] 06 5###cm [1] ###cm p_5_;6{0;=p_ [] =16 16 [1] 07- [] 1 [1] 07- [1] 4 6 a=4b=6c= [] a+b+c=4+6+=1 [1] 07-8 8 [] 1 []
10 `cm 68 10`cm 01 4p 4p 0p 4p0p8p 0 8cm 6cm 48 cm 0 0 7 ;!;070 `cm =p_ +p 10 =9p+0p `cm 04 46p ;$;6p =9p(cm ) 06 =;!;_{;!;_4_}_5=10(cm ) =;!;_(4_5)_6=40(cm ) 07 =;!;_(p_5 )_9=75p(cm ) 01 84 cm 188 cm 0 4p cm 150p cm 0 75 cm 105 cm 04 160p`cm 108p`cm 05 65 cm 9p`cm 06 10 cm 40 cm 07 75p cm 60p cm 08 100p cm ;; ;);º;;p cm 01 ={;!; 4}_+(+4+5)_6 =1+7 =84(cm ) =(4_6)_+(4+6+4+6)_7 =48+140 =188(cm ) 0 =(p_ )_+p 4 =18p+4p =4p(cm ) =(p_5 )_+p_5_10 =50p+100p =150p(cm ) 0 ={;!;_5_5}_6=75(cm ) =[;!;_(4+6)_]_7=105(cm ) 04 =(p_4 )_10=160p(cm ) 05 =(p_ )_1=108p(cm ) 5`cm 4`cm 5`cm 4 `cm =5_5+{;!;_5_4}_4 5 `cm 5cm 69 =;!;_(p_6 )_5=60p(cm ) 08 =4p_5 =100p(cm ) =;$;p_5 =;; ;);º;;p(cm ) 70~74 01 01-01- 4 cm 0 0-60p cm 0-0- 0 88 cm 0-0- 000 m 0-9cm 04 04-04- 19p cm 05 05-05- 06 06-06- 6cm 06-160p cm 07 ;(; cm 07-4cm07-07- ;:&):); cm 07-4 08 08-08- 1 09 09-147p cm 09-09- 10 10-10- 1 01 7p cm 0 48p cm 0 6p cm 01 =[;!;_(1+6)_4]_ +(6+5+1+5)_9 =7+5 =4(cm ) 01- ={;!;_5_1}_+(5+1+1)_10 =5+40 =65(cm ) =60+00 =60(cm )
01- = _ - _4 =(4_4_6)_-(4_4)_4 =88-64 =4(cm ) 0 =(p_5 -p_ )_+p_5_8+p 8 =4p+80p+p =154p(cm ) 0- =(p_6)_0 =60p(cm ) 0-4 cm 7 cm =(p_4 )_+p_4_7 =p+56p =88p(cm ) 0- ={p_6 _;!6%0);}_+{p_6_;!6%0);}_10 +(6_10)_ =0p+50p+10 =80p+10(cm ) 0 ={;!;_6_8}_1 =88(cm ) 6`cm 8`cm 1`cm 0- =;!;_1_6+;!;_(1+8)_6 =6+60=96(cm ) =96_7=67(cm ) 0- =[;!;_(1+)_40]_5 =000(m ) 0- h cm {;!;_8_4+;!;_8_6}_h=60 40h=60 h=9 9cm 04 =(p_4 )_5+(p_7 )_5 =80p+45p =5p(cm ) 04- ={p_ _; 6º0;}_5=: :p(cm ) 04- r cm pr=8p r=4 =(p_4 )_1 =19p(cm ) 05 =6_6+{;!;_6_5}_4 =6+60 =96(cm ) 05- =5_5+{;!;_5_7}_4 =5+70 =95(cm ) 05- =5_5+10_10+[;!;_(5+10)_8]_4 =5+100+40 =65(cm ) 06 =p_ +p_6 +p_6_10-p 5 =9p+6p+60p-15p =90p(cm ) 06- =p_5 +p_5_9 =5p+45p =70p(cm ) 06- cm p_4 +p_4_=40p16p+4p=40p 4p=4p =6 6cm 06- r cm p_1_;@6$0);=pr r=8 =p_8 +p_8_1 =64p+96p =160p(cm ) 07 =;!;_{;!; }_ =;(;(cm ) 07- ;!; 1_;!;=4(cm) 07- h cm ;!;_(9_6)_h=144 18h=144 h=8 8cm 07- =;!;_(10_8)_10-;!;_(5_4)_5 =: ;);º:-: ;);º: =;:&):);(cm )
07- ;!;_{;!;_8_10}_6={;!; 8}_5 80=0 =4 08 =;!;_(p_ )_5 =15p(cm ) 08- h cm (p_4 )_9=;!;_(p_6 )_h 144p=1ph h=1 1 cm 08- =;!;_(p_ )_8 =4p(cm ) 5`cm `cm 1 p cm 4p p=1 09 =p_6_10+(4p_6 )_;!; =60p+7p =1p(cm ) 09- =(4p_7 )_;!;+p_7 01 4###cm cm 6###cm 6###cm 4cm ###cm cm 6cm ={(p_ )_4}_;!;+(p_ )_6 =18p+54p=7p(cm ) 0 O cm O = _ p=(p_4)_p=4p =1 O 1 cm =p_4_1=48p(cm ) 0 r cm =(p_r )_4r=108p 4pr =108pr =7= r= 108p-{;$;p_ }_=108p-7p=6p(cm ) =98p+49p =147p(cm ) 09- =(4p_ )_;8&;+{p_ _;ª6º0;}_ =14p+p =17p(cm ) 09-8`cm 8`cm =(4p_4 )_;!;+(4p_8 )_;!; +(p_8 -p_4 ) =p+18p+48p =08p(cm ) 10 r cm 4pr =144pr =6=6 r=6 r>0 =;$;p_6 =88p(cm ) 4`cm 01 0 0 04 64p cm 05 0 cm 06 07 108p cm 08 1 09 10 60 cm 11 1 6 cm 1 14 15 16 08 17 p cm 18 19 0 4 1 p cm 97p cm 8 4 : 5 : cm 01 =(5_4)_+(5+4+5+4)_6 =40+108=148(cm ) 0 cm 6 =150 =5=5 =5 >0 75~77 5cm 10- ={;$;p_ }_;!;+(p_ )_5 =18p+45p =6p(cm ) 10- r (p_r _r){;$;p_r }[;!;_(p_r )_r] =pr ;$;pr ;@;pr =1 0 ={p_6 _;!;}_+{p_6_;!;}_15+1_15 =6p+90p+180=16p+180(cm ) 04 =(p_4 )_+p +p_4_ =p+8p+4p=64p(cm ) 05 =(_)_5=0(cm ) 06 h [;!;_(+6)_4] h=144 6h=144 h=4 4
07 =(p_4 )_9-(p_ )_9 =144p-6p =108p(cm ) 08 =(p_5 )_10 =50p(cm ) =(p_10 )_0 =000p(cm ) 000p 50p=1 09 =(p_4 )_6-(p_ )_4 =96p-16p =80p(cm ) 4`cm 6`cm `cm 4`cm 18 =(4p_8 )_;!; =18p(cm ) 19 =(4p_6 )_;!;+p_6_15+p_6 =7p+180p+6p =88p(cm ) 0 r cm pr _;ª6º0;=pr =4= r= r>0 cm =(4p_ )_;!;+p_ =8p+4p=1p(cm ) 10 =(10_10)+{;!;_10_8}_4 =100+160 =60(cm ) 11 =_+8_8+[;!;_(+8)_5]_4 =9+64+110 =18(cm ) 1 cm (p_6 )_+p_6_10=p_6 +p_6_ 19p=6p+6p6p=156p =6 6 cm 1 =p 4+p 6 =1p+18p =0p(cm ) 14 =;!;_{;!;_6_6}_6 =6(cm ) 15 a, a h, h' 4`cm `cm 6`cm 1 ={;$;p_4 }_;8&; 4 = p(cm ) 9cm =;$;p_9 =97p(cm ) =a =;$;p_{;;} =;6!;pa =;!;a a : ;6!;pa : ;!;a =6 : p : =6y= +y=6+=8 4 5 {;$;p_ }_5=180p(cm ) 5 cm (p_5 )_=180p5p=180p =: 5 : : 5 : cm a_h=;!;_a_h', h=h' h:h'=h:h=1: 16 cm ;!;_(p_4 )_9=(p_ )_ 48p=9p =: : : : cm 17 =;!;_(p_6 )_6-;!;_(p_ )_ =7p-;*;p =;:@):*;p(cm ) 78~80 01 0 0 04 05 06 07 94p cm 08 96p cm 09 10 11 1 1 14 10 cm 15 4 cm 16 17 18 8 19 0 10p cm 1 5p cm 15 4 6p cm 01 =(10_10-_5)_ =180+40=40(cm ) +(8+5++5+10+10)_6
0 h cm {;!;_8_6}_+(8+10+6)_h=64 48+4h=64, 4h=16 h=9 9 cm 0 ={p_4 _;@6&0);}_+{p_4_;@6&0);}_10 = +(4_10)_ =4p+60p+80 =84p+80(cm ) 04 1`cm `cm =(p_ -p_1 )_ =+p 5+p_1_5 5`cm =16p+0p+10p =56p(cm ) 05 =[{;!;_10_4}_+6_10]_10 =100_10=1000(cm ) 06 ={p_4 _;!;}_8 =64p(cm ) 07 r cm pr_6=84p1pr=84p r=7 =(p_7 )_6=94p(cm ) 08 = + =(p_6 )_16+(p_6 )_10 =576p+60p =96p(cm ) 09 h cm 10_10+{;!;_10_h}_4=40100+0h=40 0h=0 h=16 16 cm 10 =6_6+1_1+[;!;_(6+1)_9]_4 1 =(8_4)_4+;!;_(8_4)_ =18+ =160(cm ) 14 =;!;_{;!;_10_18}_4 =10(cm ) 15 FE =;!;_{;!;_9_9}_18 =4(cm ) 16 =;!;_(p_4 )_6 =p(cm ) =;!;_(p_8 )_1-p =56p-p =4p(cm ) p : 4p=1 :7 17 =;!;_(p_6 )_9 -;!;_(p_6 )_6 =108p-7p=6p(cm ) ###cm 6###cm 6###cm 18 =;!;_(p_10 )_15 =500p(cm ) =;!;_(p_6 )_9 =108p(cm ) 500p-108p=9p(cm ) 9p 14p=8 19 =(4p_6 )_;4#;+p_6 =108p+6p=144p(cm ) 0 =(4p_4 )_;!;+p_4_8+p_4_6 =6+144+4=504(cm ) 11 r cm p_5_;!6$0$;=pr r= =p_ +p 5 =4p+10p=14p(cm ) 1 ###cm 4###cm 6###cm =p_ +p_5 +(p_5_10-p 4) 5###cm =4p+5p+4p =71p(cm ) =p+64p+4p =10p(cm ) 1 =;$;p_6 -;$;p_ =88p-6p =5p(cm ) r cm 4pr _;!;+pr =108ppr =108p r =6=6 r=6 r>0 ={;$;p_6 }_;!;=144p(cm ) ###cm ###cm
5cm 81~8 01 9 cm 08 cm 0 48p cm 4p cm 0 04 0 05 0p cm 06 07- cm 400 07- p cm 07-500 ;$;p_5 = p(cm ) 1cm ;$;p_1 =;$;p(cm ) 500 11 p cm 01 =(5_6-_)_+(6+5+6+5)_8 =5+176+64 =9(cm ) =(5_6)_8-(_)_8 =40- =08(cm ) 0 500 p ;$;p= p_ =15 4p 4 r cm ;$;p_r =6pr =7= r= =(p_ )_6 =p_ +p 4 +p 5 =9p+4p+15p =48p(cm ) =(p_ )_4-;!;_(p_ )_4 =6p-1p =54p(cm ) =;!;_(p_ )_6 =18p(cm ) 54p-18p=6p(cm ) =4p(cm ) +(+++)_8 4###cm ###cm 5###cm 0 =;!;_{;!;_5_6}_4 =0 ={;!;_5_}_4 =10 0=10 = 04 =(4p_5 )_;!;+p_5_7 =150p+50p =1600p(m ) 80p m 1600p 80p=0 05 r cm O = _4 p_=pr_464p=8pr r=8 =p_8 +p_8_ =64p+56p =0p(cm ) 06 =(p_ )_5 =45p(cm ) =;!;_(p_ )_14 =4p(cm ) [] [] [] [] 07- r cm ;$;pr =: :p r =8= r= cm 07- ={;$;p_5 }_;!;+;!;_(p_5 )_6 = 50 p+50p [1] [] [1] [] 400 = p(cm ) [] 07- ={;$;p_4 }_;!; 18 16 = p- p [] -{;$;p_ }_;!; ###cm ###cm 11 = p(cm ) []
84~87 01 0 0 04 05 06 07 08 09 10 11 1 1 14 15 16 17 18 19 0 1 60 7 (10p+40) cm 4 18 5 56p cm 01 a=6b=9c=5 a+b-c=6+9-5=10 0 MN =M +N =;!; +;!; MN =;!;( + )=;!; MN =;!;_16=8(cm) 0 90 +(-5 )+(-5 )=180 5=100 =0 y=-5 =_0-5 =55 +y=0 +55 =75 04 F F EF a= E 1 b=1 a-b=-1= 05 O =O =P =P = O = 06 07 F G = =10(cm) F=90 -F=G F=90 -G=G F G S F =G =8(cm) EF =E -F =1-8=5(cm) 08 n n-=7 n=10 10_(10-) =5 09 = = == =+= = == +=105 =105 =5 10 1 180 _ =180 _;9!;=0 8+1 n n =0 n=18 180 _(18-)=880 11 OOO=μμμ O=_ =567 =_;1 8;=100 1 +E 1 ={p_ _;ª6º0;}_4 =4p+80(cm ) 14 +(10_)_4 10 15 16 17 =(p_5 )_6-(p_ )_6 =150p-4p=16p(cm ) 18 =4_4+{;!;_4_6}_4 =16+48=64(cm ) 19 =4p_7 =196p(cm ) =p_7 =49p(cm ) 196p49p=41 0 h cm ;$;p_6 =;!;_(p_6 )_h 88p=1ph h=4 4 cm 1 mpq pq [1] =40 +0 5 5+6+7 =60 [] p q m `cm 10`cm 40 40 0 0 15 15
180 _(5-)=540 a+b =540 =108 [] -(100 +9 +70 +60 +110 ) 180 [] =180 -(a+b)=180-108 =7 [1] {p_5_;ª6º0;}_4=10p(cm) 10_4=40(cm) [] [] 10p+40(cm) [1] 4 4 [] 1 6 a=1b=6 a+b=1+6=18 5 [] =p_9 -p_5 =56p(cm ) [1] =p_9_15+p_5_1 =00p(cm ) =56p+00p=56p(cm ) 9 5`cm 15`cm 4`cm 100 110 70 60 a b 10`cm [] [1] 1`cm 1`cm 5`cm [1] [1] 04 05 10 10<7+ > <7+10 <17 <<17 456y16 1 06 F FE ==60 =F F = -F = -E =E F FE SS F=FE F+EF=FE+EF =180 - =180-60 =10 07 6 6_(6-) 6+9=15 =9 08 E=70 + E=+;!; E=;!;E 88~91 01 0 0 04 05 06 07 08 09 10 11 1 1 14 15 16 17 18 19 0 1 15 cm 6 ;; ;;p cm 4 5 6p cm 01 PQ QP QR RQ RS SR 6 7 0 y=180 _ =180 _;1 5;=84 +7+5 0 +;!;=;!;_(70 +) =5 09 n n(n-) n=1 =54n(n-)=108=1_9 180 _(1-)=1800 10 70 +(180-10 )+60 +(180 -) 50 -= +(180-100 )+40 +0 = =160 11 81 O=68 81 O=4 O=108(cm ) 1 r cm ;!;r_6p=1p r=4
p_4_;6{0;=6p =70 70 1 =p_8 _;ª6º0;-;!;_8_8 =16p-(cm ) 14 9 6 7 8 9 10 16 17 {;!; 4}_+(+4+5)_=108 1+1=1081=96 =8 18 =p_ +p_6 +(p_6_8-p 4) =9p+6p+6p=81p(cm ) 19 =;!;_{;!; }_6 =9(cm ) 0 =p_ _18=16p(cm ) ={;$;p_ }_=108p(cm ) 16p-108p=54p(cm ) 1 = + =M +N =(M +N )=MN =_10=0(cm) = =;4#; =;4#;_0=15(cm) 5 =7 O=O=7 O O=180 -(7 +7 )=6 μ=μ'=p_5_;!; μ=5p(cm) μ'=p_10_; 6º0; `'=;%;p(cm) μ [] 5p+5p+;%;p=;; ;;p(cm) 8`cm E `cm O' 8`cm 0 O 10`cm 6`cm `cm (, ) [] [] [] [] ' F [] [1] 4 9~95 01 0 0 04 05 06 07 08 09 10 11 1 1 14 15 16 17 18 19 0 1 1.5 10 cm 4 6 5 6p cm 7 cm 01 + 0 O+O=90 O+O=90 O+O+O=180 O+O=40 O+40 =180 O=140 O=70 0 mn n (- )+(+4 )=7 5+ =7 5=70 =14 04 9cm (5 cm7cm9 cm) 1 1 cm (5 cm9cm1 cm)(7 cm9cm1 cm) 1+= 05 SS SSS 06 Q P Q =P = Q=60 +P=P Q PSS Q =P =P + =+5=8(cm) n m - - +4 +4 [1.5] 5 5 [] =(p_ )_6-;!;_(p_ )_6 =54p-18p =6p(cm ) [1.5] cm 6 cm []
07 n n-=6 n=9 9 08 y=5 +0 =55 (+6 )+18 +55 =180 =81 -y=81-55 =6 09 180 _(7-)=900 10 n 180 _(n-)+=700 180 _n=700 n=15 =4 15 11 OP P =O PO=P=0 O=0 +0 =40 O O =O O=O=40 OP O=0 +40 =60 0 60 =μ1 1=μ1 μ=1 μ=4(cm) 1 =p_6_;!6@0);++p ;!6@0);+ =4p++p+=6p+6(cm) 1 =7_14 =98(cm ) 14 1 0 0 15 8 6 1 16 14 cm 5 6 0 y +6 18 7 cm 7 cm 17 r cm O = _ p_9=pr_18p=6pr r= =p_ +p 9 =9p+7p=6p(cm ) 18 ;!;_{;!;_8_9}_4={;!;_8_}_4 48=16 = 19 =;!;_(p_6 )_16-;!;_(p_ )_8 =19p-4p=168p(cm ) 0 =(4p_8 )_;4#;+p_8 =19p+64p=56p(cm ) 1 1 0 1 0.5 1 6 b-a [] =6 _55-(0 _6+0.5 _55) =0-07.5 =1.5 180 _(6-) 6 [] =10 [] ==;!;_(180-10 )=0 [] G=G =180 -(0 +0 ) =10 [1] O O=O O =O O=O O=O O=O μ=μ=(cm) 4 [] =;!;_(+8)_4+8_ =0+16=6 [] 5 cm 6 =16 =6=6 =6( >0) =;$;p_ =6p(cm ) ab =;!;_(6_6)_6=7(cm ) 5 [] [1] 8 4 [1] [] []