SOLUTION LTUR OOK WORK OOK
LTUR OOK Q OX 0 6 (, 5), (, 4), (, ), (4, ), (5, ) 5 0- x+y=0 (x, y) (, 4), (4, ), (6, ) 0,, 5, 7 4 0-4,,, 4, 6, 8,, 4 8 8 0 5. 000 ( ) 0 500 ( ) 4 5 00 ( ) 0 5 0 5 5 0-00 ( ) 50 ( ) 0 ( ) 6. 6 5 4 4 0 4 5 0 0 5 0 5 5 04,, 6 +=4 04-4 (, ), (, ), (, ) 9 (, 6), (4, 5), (5, 4), (6, ) 4 +4=7 6 4 7..,.,. 05 4 4, 8,, 6 4 7 7, 4 4+=6 6 05-8,,, 6, 9, 8 6 5 5, 0, 5 6+=9 9 06 7, 7+=9 9 06-4, 4+=7 7 07 4, 6 4+6=0 07-6, 8 6+8=4 4 08, 6 6=48 08-, 6,, 4, 6 _=6 09 4, 4_= 09-, _=9 9 0 5, 5_=5 5
Q OX 0-, 4, _4_=4( ) 4. 0 5, 4, 0 7 7_6=4 0-5 5_4_=60 60 0 n n_(n-)_(n-)( ) 5_4_=60( ) 0-,,,, ++=7( ) 7 LTUR OOK 0 5 5_4 =0 0 0- =6 6 0 n (n-)_(n-)( ) 0 0 5, 5 5_5=5( ) 0 4 4 =4 0-4, 4, 0-, 4_4_=48( ) =6, =6, 6+6= 04 ( ) =( )_( ) 0, 4 0,,, 4 4 4 40, 4, 4, 4 4 +4+4=0( ) =6 =6. 0-5_4=0( ) 55_4=0( ), 0+0=40( ) 6_6=6 04-4 4 =4 4. 04 5, 4 5_4=0 _= 04-8 4_=48 8_7_6=6 6
LTUR OOK Q OX 05 7 7_6 = 05-9 9_8_7 =84 84 06 _ =66( ) 66 06-9 9_8 =6( ) 07 6 6_5 =5( ) 07-5 5_4_ =0( ) 0 0 P P P 6 6 _6= 0-4 4_=8 4 n n_(n-). n.,,,,,,,.. 500x+000y=4000, x+y=8 (x, y). 0 6 5, 4,, 6_5_4_=60 0-5 4 4 5_4_4=80 80 0 4_=( ) 4 4_=( ), 5. 0- =6( ) R =6( ) S SRT, STR, SRT, SRT, STR, STR STR 7. 7 0 0 5 0 04 05 06 4 07 08 09 70 0 4 5 6 7 5 8 6 9 6 0 4 4 4 8 5 0 8, 4, 5, 6, 7, 8 6 0 x, y (x, y) (0, 4), (, ), (4, ), (6, ), (8, 0) 5 5 4
Q OX 0 x, y, z (x, y, z), 6, 7 0 (,, ), (,, ), (,, ) _4=( ) 04 +4+=6( ) 05 000 500 +=5 06 (5, 7), (7, 5) (6, 7), (7, 6), +=4 4 07, 4, 6, 8 4 4,, 4_= 08 _=4 _=6 4+6+= n n_(n-) ( ). ( ) ( ). =6 6_5 =5( ) =6 4_4=6( ) 5_4=0 4 x 7 x=7_6=4 y 7 7_6_5 y= =5 x-y=7 4_ 5 =6 4 =4 6+4=0 6 4,, LTUR OOK 09 6_5_4 =70 70 0 MS =6 SM 7 4 =48 a= a= a+b< =6, 6+6= a=b=,, a=b=,, 5 5_4 =0 (4 )_=48 0-48=7 ( ) =(5 )-( ) 8 +=5 5 5 5
LTUR OOK Q OX (, ), (, 4), (, 5), (4, 6), (6, 4), P (5, ), (4, ), (, ) 8 P (, 4), (, 5), (, 6), (6, ), (5, ), P, 6 (4, ) 6 5 P, (, 6), (6, ) 5 8+6+=6 _=4 6 4 9 0 5 5 5 0, 5 4 8 5 05_4=0( ) 8 54_4=6( ), 0+6=6( ) 6 8_7 =8 5 5_4 =0 0 P 6 P 4 4 P 6 5 8-0=8 8 6_4=4 4. 4_ =6 5_4 =0 6+0=6 6 ()+()=() ()+()=() ()+()=() ()+()=(), 4, 6, 8 4,, 5, 7, 9 5 a ba bca bcdae a 4 =4( ) ba =6( ) bca _=( ) bcdae bcd 4+6++=() 6_5 =5,,, F 4_ =6 5-6+=0( ),,, F. 6
Q OX 0 =8 8 (,, ), (,, ) (,, ) 05-5 5 - = 8 8 8 06 =6 4 4 6 0-,, 0, 7_6 0 = _ = = 7, n n_(n-) 5 - = 6 6 06- = 5 5 LTUR OOK 0-5_4 =0 - = (4 )_=48 48 = 0 5 0 6_6=6 x+y 5 (x, y) (, ), (, ), (, ), (, ) 4 4 = 6 9 0-6_6=6 a+b=9 (a, b) (, 6), (, ) = 6 8 x 4 04 =, 7x=4+4x, x=4 6+x 7 x=8 8 04- x (x+9) 4 4 =, x+9=6 x=7 7 x+9 4 5_4 05 =0 4 4 = 0 5 - = 5 5 5. x, y x 6, y 6 4 p -p 0 6 6,, 8 0 8 8, 6 = 0 0 + = 0 0 4 0-4 =4 =6 6 = 4 4 =6 6 = 4 4 + = 4 4 7
LTUR OOK 0 6,,, 6 4 4 6 = 6 4 _ = 9 0-0 5 _ = 9 0 6 0 _ = 6 5 - = 6 6 0- - = 4 4 - = 5 5, _ = 4 5 0 7 - = 0 0 04, 4 _ = 7 5 5, 6 _ = 7 5 5 6 8 + = 5 5 5 5 9 6 5 6 Q OX,. ;5!;.,.,, =6 ( ) =-( ) 04-4 4 _{- }= _ = 5 5 5 5 5 4 4 {- }_ = _ = 5 5 5 5 5 4 4 8 + = 5 5 5 8 5 4 05 - = 5 5 _ = 5 5 05-, - = 4 4 = 4 4 4 64 6 6 - = 64 64 64 06 =7 6 = 7 9 = 7 9 + = 9 9 06- _=9 (, ) (, ), (, ), (, ) = 9 (, ) (, ), (, ), (, ) = 9 _ = 9 9 8
Q OX 8 4 0 = 4 7 5 + = 4 4 6 = 4 7 4 7 _ = 7 49 49 5 0-5 = 6 5 5 5 _ = 6 7 7 7 0 0 6 = 9, 7 7 _ = 0 5 7 8 - = 5 5 ()+()=() ()+()=() ()+()=() ()+()=(),, 5, 7, 5 5 5, 0. ()_()=() ()_()=() ()_()=() ()_()=() 5. 0 + _ = 4 + _ = 4 + = 4 4 0- a, b 4 9 {- }_{- }= _ = 5 7 5 7 5 9 6 - = 5 5 6 5 0 60= 5 60 50 6 6 8 = 50 5 LTUR OOK 0- _ = 7 6 7 4 _ = 7 6 7 + = 7 7 7 5. 0-70=_5_7 70 7 7 40 7 5 5 = 40 8 0 = 9 _ = 9 4 0- = () () = () 7 - = 8 8 0 4 _ = 0 5 6 9 _ = 0 4 0 5 9 + = 5 0 0 0 9
LTUR OOK Q OX 0-, 4 _ = 9 8 6, 5 5 _ = 9 8 4 5 + = 6 4 8 04 =8 P, (,, ), (,, ), (,, ) 04-6_6=6 8P (, ), (, ) = 6 8 8 (, 6), (, 5), (4, 4), (5, ), (6, ) 5 5 6 5 7 7 + = 8 6 6 6 05 _ = 9 4 8 _ = 8 8 6 + = 9 8 8 8 8 8 6 8 8. 47 447 + = 0 000 000 447 000 06 _{- }= _ = 9 {- }_{- }= _ = 4 4 4 7 + = 9 4 6 06- _ = 5 4 0 4 4 {- }_ = _ = 5 5 5 5 5 4 + = 0 5 00 00 0 0 0 04 ;!; 05 06, 07 08 09 0 4 5 ;!0!; 6 7 ;5@; 8 ;!5^; 9 ;!6#; 0 ; 7; ;4!; ;9@; 4 ;!; 5 ;9!; 05-0 7 7 = 47 0 0 0 000 0.. 0,,, 0, 5 5 0 0 4 0
Q OX 0 =6 (,,, ), (,,, ), (,,, ), (,,, ), (,,, ), (,,, ) 6 6 = 6 8 04 4 4 =4 (, 8, 9), (6, 8, 9) = 4. n n_(n-)_(n-). 0, 4 = 00 5 _ = 5 5 65 8 -{ + }= 6 _ = 6 8 6 -{ _ }= 5 5 5 LTUR OOK 05 _=9 _=6 6 = 9 -;4!;=;4#; { _ }+{ _ }= 4 4 4 4 8 4 ()+()=() 4 5 0 _ = 9 9 8 06, 0 p, 0 q ()+()=() 5 4 0 _ = 9 9 8 7 07 ( )=- = 8 8 8 0 0 40 + = 8 8 8 08 4 6 5 - = 6 6 5 7 6 9 _ = 40 9 0 9 - = 0 0 0 09 6_6=6 5 (, 4), (, ), (, ), (4, ) 4 4 = 6 9 5 (, 6), (6, ) = 6 8 + = 9 8 6 () () = () 6,,, 4, 6, 6 () 6 = = () 7 a a 5 a a=, 4, 5, 8, 0, 6 4
LTUR OOK Q OX 6 = 5 5 8 5 p -p 5 5 7 5 7 9 0 4 - = 00 5 5 - = 00 4 40 - = 00 5 4 9 = 5 4 5 5 9 6 - = 5 5 (0, ) (, ) (, 0) (0, ) _ = 6 6 6 (, ) _ = 6 6 6 (, 0) _ = 6 6 6 + + = 6 6 6 6 0 6 6_5_4 =0 0-=7 6 5 6. ( ) +( ). a b d = 8 a c d = 8 + = 8 8 4 +{ _ }= 4 60_ =45( ) 4 b a d b ax-b=0 x= a b = (, ), (, ), (, ), (4, 4), a (5, 5), (6, 6) 6 6 = 6 6 b = (, ), (, 6) a = 6 8 + = 6 8 9 c 4 9
Q OX 4 x=4, y= (,,,, ), (,,,, ), 6 5 5 _ = 4 _ = _ = 66 (,,,, ), (,,,, ), (,,,, ) 5 x=, y= (,,, ), (,,, ), (,,, ), (,,, ), (,,, ), (,,, ) 6 x=0, y= (,, ) +5+6+= LTUR OOK 5 5 + + = 66 OPQR 6 OPQR 6 6_6=6 OPQR a, b ab=6 (a, b) (, 6), (, ), (, ), (6, ) 4 4 = 6 9 f(a)=6, f(b)= ab. () =() _() 0 a, bab f(a) f(b) f(a)=, f(b)=6 _6, _6, _, _ 4 f(a)=, f(b)=5 _5, _5, _5, _5 4 f(a)=, f(b)=4 _4, _4, _, _4, _4, _ 6 ab 4+4+6=4( ) 4 0, 9,,, F G H I,,, F,, 0 0 4 0 4 04 ; 8; 05 ;4#; 06 ; ; 07 ; 4; 08 ;!5@; G F, H F, G, I F, H =4 4 0 x, y x+y=6 x=6, y=0 (,,,,, ) ax+by=c, a'x+b'y=c' a b = + c a' b' c' 04 6_6=6 a = + b- a(b-)=6 a+, b+4.
LTUR OOK Q OX (a, b) (, ), (6, ) = 6 8 8 05 6_6=6 max(a, b)<4 max(a, b)= (, ) max(a, b)= (, ), (, ), (, ) max(a, b)= (, ), (, ), (, ), (, ), (, ) 5 max(a, b)<4 9 = 6 4 - = 4 4 4 06 6_6=6 (0, ), (, ) - = -0 (0, ), (5, 4) 4- = 5-0 5 b y= x+ a b b > <. a a 5 b > a (, ), (, 4), (, 5), (, 6), (, 5), (, 6) 6 b < a 5 (, ), (, ), (4, ), (4, ), (5, ), (5, ), (6, ), (6, ), (6, ) 9, 6 9 5 + = 5 6 6 max(a, b)æ4 max(a, b)<4. (max(a, b)æ4 ) =-(max(a, b)<4 ) (a, b), (c, d) d-b b-d { } c-a a-c r pr 07, 0. 0 0 _ = 8 = 4 4 4 = 4 4 4 _ = 8 5 5 + + + = 8 4 4 8 4 4 08 O 4 8, 4<O <8 (). ( ) ( O ) = p_8 -p_4 p_0 0 48p = = 00p 5 5 8 4 O 4
Q OX =4 cm ;!;_6_ =4 =8(cm) 8 cm. 05 = =;!;_(80-84 )=48 0 = =6 x+5 _(6 x+5 )+5 x=80 7 x=70 x=0 0- = =80-08 =7 =80 -_7 =6 0 x=90, y= _4=7 x-y=8... = =;!; 05- = =8 =;!;_(80-8 )=76 =80-76 =04 =;!;_(80-04 )=8 8 06 O= O=5 = =5 +5 =50 = =5 +50 =75 x=80-75 =05 LTUR OOK 0-06- = x x x=;!;_(80-_55)=5 y=_=6 x=5y=6 0 = =80-0 =70 =80 -_70 =40 = - 80. = x = = x x x x x + + = x+ x+ x=80 5 x=80 x=6 07 = =;!;_(80-6 )=7 =70-40 =0 = =;!;_(80-7 )=54 0- =;!;_(80-40 )=70 x+ =54 = =68 x= =;!;_54 =7 7 =80 -(70 +68 )=4 4 07-04 =, =, (SS ) = =5(cm) 5 cm 04- = =6(cm). = =;!;_(80-48 )=66 =;!;_66 =, =;!;_(80-66 )=57 x+ =57 x=57 - =4 4 5
LTUR OOK Q OX 08 S 08- =80 -(0 +90 )=60 = =60 = =5(cm) =90-60 =0 =. = =5(cm) = + =0(cm) 09 = =65 () = =65 ( ) x=80 -_65 =50 09- = () = ( ) = = 5+8+5=8(cm) 8 cm =, F =, =. =, =, = + = + = =, =, = - = - = 0- = F (SS ) F= F=80 -( F+ ) =80 -( + ) F= =;!;_(80-44 )=68 F =F F= F F=;!;_(80-68 )=56 0 (SS ) = =4 x+ = x=60-4 =6 6 0- (SS ) x= =60 0 = x = = x+ x+_( x+ )=80 x=4 x=8. 0 =90-5 =7.( RH ) 0- = x = = x-5 x ( x-5 )+ x =80 5æ x-5æ x-5æ x=95 x=65 65 0 = F (SS ) = F F=80 -( + F) =80 -( F+ F) F= =;!;_(80-58 )=6 6 = =90, =, =90 - = =, =F, = 0- SS RHS RH S 0 ( RH ) = =5(cm), = =(cm) = + =5+=8(cm) 0- MM M= M=90, M =M, = M M ( RH ) M= M, =, M =M 6
Q OX 0 = =90,, = ( RHS ) = =;!;_(80-50 )=65 O O =O =O O, O, O 0- O=60 _;9@;=80 O O=;!;_(80-80 )=50 50 =90-65 =5 0- = =90,, = ( RHS ) = =(cm) =;!;_0_=5(cm ) 5 cm 0- =, =, F =F + + =_(+9+0) =60(cm) 60 cm 0 x+5 +0 =90 x=5 5æ 0æ 5æ O 0æ x x LTUR OOK 04 PO PO OP RH P 04- P RHS PO 05 OP O QOP=;!;_50 =5 QOP QPO=90-5 =65 65 0- O =0 +5 =55 O= O=_55 =0 0æ O 0æ 5æ 5æ 05- = =4(cm) 04 M M =M =M =;!;_=6(cm) 6 cm =45 =90-45 =45 = =4(cm) =;!;_4_4=8(cm ) 8 cm 45 = =45 04- M=80-0 M=60 M =M M= M 8`cm 60æ M 60æ 0æ 60æ M=;!;_(80-60 )=60 M 0 SS O O F =M =;!;_8=9(cm) 9 cm 0-. M M =M =M 05 M =M M= =4 x=_4 =68 0 O = +0 =5 æ 0æ æ O 0æ 05- M=80 _;9%;=00 M =M =;!;_(80-00 )=40 40 7
LTUR OOK Q OX 0 IF I IF 0-,, 06 I= I= I I = IÚ= cm I 4 cm + + = + IÚ+IÚ+ 0 I= I=7, I= I=0 =_7 =54, =_0 =60. = + + + = + =+4 =6(cm) =80 -(54 +60 )=66 66 06- I= I= I I = =8(cm) 0- I= I=8 x= I=80 -(0 +8 )= =I =5-8 =7(cm) 8`cm 5`cm I 0 x+7 +5 =90 x=8 8 0- x=90 +;!; =90 +8 =08 y=90 -(8 + )=40 x- y=68 68 04 r cm ;!;_r_(6+5+5)= r=;#; 04- r cm ;!;_r_(++5)=;!;_5_ r= I=;!; =(cm ) cm 05 =F =4(cm) = =9-4=5(cm) F = =-5=7(cm) =4+7=(cm) cm 05- = =x cm F = =8-x(cm) F = =-x(cm) =F +F (8-x)+(-x)= x=5 5 cm = =90, =, =90 - = r =;!;r( + + ) + + =80,, F =F, =, =F 0 (RH ) = =6(cm, = =4(cm =6-4=(cm cm 0- (RH ) = =0 = =0+8=8 =;!;_8_0=90 90 0 O O= O= x O= O= x+5 O= O= x+0 5 +( x+5 + x+0 )+0 =80 x=45 O O=80 -_45 =90 0- O= O=50 O=80 -_50 =80 O= O=0 +50 =70 O=80 -_70 =40 O= O- O =80-40 =40 O=;!;_(80-40 )=70 =70-50 =0 0 8
Q OX 0 O =9 =46 I I=90 +;!;_46 = 0- =80 -_70 O=40 O=_40 =80 O =;!;_(80-80 )=50 I=;!;_70 =5 x= O- I=50-5 =5 5 0- O= O=5 O=80 -_5 =0 x 5æ O I O I 5æ 70æ 40æ p_5 =5p(cm ) p_ =4p(cm ). I I, I,. 5p-4p=p(cm ) pcm 05 I= I= a, I= I= b a+ b+74 =80 yy a+ b+94 =80 yy, a=4, b= =80 -( a+ b) =80 -_(4 + )=5 5 05- I= I= a, I= I= b = b+68 = a+68 a+ b=;!;_(80-68 )=56 + =( b+68 )+( a+68 ) =68 +68 +56 =9 LTUR OOK =;!;_0 =65 =40-5 =5 =80 -(5 +40 +65 )=60 60 I I= I 04 ()=;!;_5=;; ;;(cm) R=: : ;!;_r_(9++5)=;!; 9 r= R+r=5+=8 8 04- ()=;!;_=: :(cm) p_: :=p(cm) r cm ;!;_r_(5++)=;!; 5 r= ;!;. 0 0 0 7 04 05 06 x=5, y=8 07 08 09 0 0 4 5 6 7 7 8 x=, y=6 9 cm 0 60 a+ b 4 0 cm 5 6 0 =4 x = =7 x 4 x+7 x+7 x=80 x=0 =7 x=70 p_=4p(cm) p+4p=7p(cm) 7pcm 04- ()=;!;_0=5(cm) r cm ;!;_r_(6+8+0)=;!;_6_8 r= 0 PP =, P= P, P P P (SS ) P= P=58 P x=80 -(90 +58 )= 9
LTUR OOK Q OX 0 =, =, = (SS ) = =;!;_(80-4 )=69 = -4 =69-4 =7 7 04 =_ =44 = æ =44 = +44 =66 =80 -_66 =48 05 = =68 = =68 - x 44æ 44æ 66æ æ 66æ (68 - x)+_68 =80 x=4 06 = =. = =8(cm) y=8 =90 x=90-65=5 x=5, y=8 07 = =70 () = =70 ( ) =80 -_70 =40 x= =40 ( ). O, O, O = =69. O =90. = =5 =80 -_5 =0 0 0 O=80 -_40 =00 =;!; O=50 O O (RHS ) O= O O=;!;_0 =5 O O= =_0 =60 0æ O=;!;_(80-60 )=60 = O+ O=5 +60 =75 =90 O= O=90-8 =6. 4 P P=90 +;!; =90 +;!;_70 =5 5 =F =x = =9-x =F =-x = + (9-x)+(-x)=5 x= 6 O=, O=90 +;!; 08 ( RH ) = =7(cm), = =(cm) =7+=0(cm) ;!;_(+7)_0=50(cm ) =50-_{;!; 7}=9(cm ) 09 MM M= M=90, M =M, = M M (RHS ) = =90, =, =90 - = n 80 _(n-) n 7 =90 +;!; =60 x=_60 =0 4 80 _(5-) = =08 5 = =;!;_(80-08 )=6 =08-6 =7 7 0
Q OX 8 I= =60 (), x y = =80-7 =5 = =7-5 =74 x=80 -_74 = =;!;_74 =7 7 +7 + y=80 y=6 x=, y=6 I=90 I I= =60 () I. I= I= I I. I. =I = =I = I =I < a, b F = a, =90 - = b LTUR OOK = a+ b 9 + F= = a+ b ( ) F F= a+ b F= FF =F. a+ b (RH ) = =6(cm) =0-6=4(cm) 4 O = O+ O+ OF=;!; + = + = =8(cm) OF + =4+8=(cm) cm O=;!;_4_=6(cm ) O+ O+ OF =;!; =6(cm ) OF 0 (SS ) = P x= P+ P = + =, =, = + = + = O+ OF= O+ OF =6- O =6-6=0(cm ) 0 cm = =60 60 5 I x = ;!;_0=0(cm) =;!;_(80-68 )=56 r cm I=;!; =;!;_56 =8 ;!;_r_(0++6)=;!; 6 r=4 0+4=4(cm) O O x=90 - =90-8 =6 6
LTUR OOK Q OX 0. 0- O= O=55 () O O=4 +55 =89 0 S 0- = 4x-=y+ yy = 5x-4=y+ yy, x=, y= x+y=5 80... 06 = =58 () = =_58 =6 06- + =80 ;!; +;!; =90 + =90 =80-90 =90 90 07 O O +O + =: :+: :+0=4 07- OOF O =O, O= FO (), O= OF ( ) O OF (S ) OF O (S ) 0-4 = =_8=4 =6 ( + )=_(6+8)=8 0 0- x= =50 () y= =80 -(70 +50 )=60 x=50, y=60 0- = =80 _; 0;=6 04 O O S 04- O =;!; =;!;_4=7 x-=7 x= O =4_-= =O =_= 05 = =. = =7(cm) = - =7-5=(cm) cm 05- MMN M =M M= NM () M= NM ( ) M MN (S ) N = =4(cm) N = +N =4+4=8(cm) 8 cm. =... 0 SS 0- SSS 0.. 0-.... 0 Q 0- F Q G P 04, = = F F, = =F F =, =F,,
Q OX 04- F 0- H= H=5 () = F=90, =, =_5 =06 = F () =80-06 =74 F (RH ) =F F= F F F F=;!;_74 =7 F= F=7 () x=80-7 =4. 4 05 OOF O =O, O= FO (), O= OF ( ). 0 '= ( ), = () F= F F F=;!;_(80-96 )=4 x= F=4 4 LTUR OOK O OF (S ) O= OF O+ OF= O+ O 0- M= ( ), F= () MF= MF = O=;4!; MF =;4!;_0=0(cm ) 05- NM, MN M P Q. M F =M = =(cm) M M =;!; =;!;_=6(cm) F =M F -M =-6=6(cm) 6 cm MPN=;4!; NM, N 0 P Q QP MNQ=;4!; MN P =Q. MPNQ= MPN+ MNQ =;4!; NM+;4!; MN =;4!; ()=()_() Q x P =Q (x+5)=x x=0 0 0- P Q PQ P =Q. =;4!;_0=5(cm ) 5 cm 06 P+ P=;!;_40=0(cm ) P=0-5=5(cm ) P P+ P = P+ P P x P =Q x=5(x-0) x=5 5 06- P+ P= P+ P =;!; x+8=5+y x-y=7 7 0 SS 0 = = = =5(cm) = - =7-5=(cm) F= F= F F = =5(cm) F =F - =5-=(cm) cm. F. 0- O =O O= O=80 -(40 +90 )=50 x=50 = =6(cm) y=;!;_6=8 x+y=58
LTUR OOK Q OX 0- O= O=60 O =O O= O=60 O _=9 9 0 80 90 0- = O =_7=4(cm) = + =80 = =;!;_80 =90, 0 SSS 0-0- = x+5=x-6 x= = _+5=+y y=6 = =80 -_5 =0 x=0 O =O y=y- y= x=, y=6 x=0, y= 04 04- () 0 0- O=;!;_O _O =;!;_4_4=8(cm ) 8 cm 80. =, = = H'= H=90, =, = 4. 0 0-,, 0 0- = =0(cm) = =40 = = + =60 +40 =00 0 cm, 00 0- = = = = = = = = + =64 =80 -( +64 )=84 84 04 `cm 60æ 60æ 60æ 8`cm = = =(cm) = = - =8-=7(cm) 7 cm 04-9`cm H' H'H = =9(cm) H' H (RH ) H' =H =(cm) H' H `cm = H' +H'H +H =+9+=5(cm) 5 cm 0- = = =90-6 =64 =80 -_64 =5 =90-5 =8 = x=;!;_(80-8 )=7 + =80 = =90 0 M M (SSS ) = = =90. 4
Q OX 0- F= F= F =F 0 F F= = F= F= F F= =(cm ) =F = F= 0- = = F= - F = =F =F = - F F = F 4_6=4(cm) 4 cm 0 0- =.. F= F F= F F= F+ F = F+ F = 0 PP= LTUR OOK 0, =;#; P=;#;_6=4(cm ) 0-04,, = = =_4=48(cm ), 0- PP= 04- GH SS GH P=;5@; =;5@;_0=8(cm ) PQPQ= PQ=;4#; P=;4#;_8=6(cm ) 0 =, = = +. 04 + =;!; =;!;_50=5(cm ) =;5#;_5=5(cm ), = + =, =;5@;_5=0(cm ) 0- = = + - =5-0=5(cm ) = + = =0(cm ) 0 cm. 04- PQ=;!; =;!;_;!; PQ=;6!; 0- = QP=;!; =;!;_;!; = + = + = PQ=;6!; PQ= PQ+ QP =;!;_7_4=4(cm ) PQ=;!; PQ=;!;_6=(cm ) cm 5
LTUR OOK Q OX 05 OO= ( ) O= O=_5=0(cm ) = - H O= O=0(cm ) OO= O= O=_0=0(cm ) =5+0+0+0=45(cm ) 45 cm = O = - O = - O = O = -;4!; =;4#; =;4#;_00=75(cm ) 75 cm 05- O= O=6(cm ) OO= O=;#; O=;#;_6=9(cm ) = O+ O =6+9=5(cm ) 5 cm ( ) 0 PQRS SPQ=80-06 =74 x=74 SR =PQ =9(cm) y=9 x+y=8 0- PQRS =;!;_( ;!; =96 ) =6(cm) 6 cm 0 '=80 -(90 +65 )=5 '= ( ) '=_5 =50 x= '=50 () 0- F=80 -(90 +8 )=5 F= F=;!;_(80-5 )=64 x= F=64 64 0 F H P, H Q PQ `cm P Q G F =, P= Q=45, P=90 - Q= Q P Q (S ) PQ= =;4!; =;4!;_9=;4(;(cm ) 0- H P, HG Q PH QH (S ) PQH= H=;4!; 0`cm 0`cm F P H Q G ''=90... PQ = P+ Q = Q+ Q = H =H, HP= HQ=45, HP=90 - PH = HQ 04 F = F G = G ( ) = + + = F+ + G = FG=50(cm ) 50 cm 04- O p_0 _;5!;=80p 05 Q QQ = P Q=;4#; Q Q=;4#;_56=4(cm ) PQPQ= PQ=;!; Q=;!;_4=4(cm ) 4 cm 05- P PP= P=;%; P P=;%;_9=5(cm ) P 6
Q OX PP= F =;$; P=;$;_5=0(cm ) = = =_0=40(cm ) 40 cm F= F. F =F = =6 F = -F =0-6=4 F, F F. ( F)=_(6+4)=0 06 =, =, (SS ) = =5 +45 =70 06- G =, G =, G= =90 G (SS ) G= O =O, O= GO (), O= OG ( ) = + 05 O OG (S ) O =GO OH OF (S ) HO =FO FGH. HF= HGF=;!;_50 =75 LTUR OOK H H=80 -( G+ H) HG=80-75 =05 05 =80 -( + H) =90 90. 06 O = = O p_ =44p 0 0 0 04 05 05 06 07 08 09 6 cm 0 90 cm 4 5 5 cm 6 7 8 8 8 cm 9 40 cm 0 8 cm 4 4 cm 5 6 cm. 07 MN 8`cm M O NM F 5`cm O FMONO N MO =NO, FMO= NO (), MOF= NO ( ) FMO NO (S ) NF= MN=;4!; NF=;4!;_40=0(cm ) 0 y= O= () O x=5 + =85 x+ y=7 0 = 4x-4=x+ x= = =8-=5. 08 PQ P= Q=90, =, = PQ (RH ) P =Q PQ PQ=80 -_75 =0 0,, = () 09 = = 04 =80-60 =0 F= F=;!;_0 =60. = ( )=4_4=6(cm) 6 cm 7
LTUR OOK Q OX 0 PQ =, P =Q, P= Q P Q (SS ) P= Q P+ P=90 Q+ P=90 x=90 90 = =0 PQRSPQS=45 PQ PQ= PQ+ PQ=45 +0 =65 P= P 6 P P = P=;!; Q Q Q = Q=;!;, PQ=;!; P P PQ= P+ Q- PQ PQ=;!; +;!; -;!; P PQ=;!; +;!; -;!; P PQ=;6!; +;6!; PQ -; 8; = =65 =80 -_65 =50 PQ=; 8; =; 8;_8=5(cm ) = =65 =65-50 =5. 7 P OFO O =O, O= FO (), O= FO ( ) P x = = O FO (S ) O =FO F F. 4_(0-)=(cm) cm 4... 8 P=;!; =4 P P=90 - P =90-4 =49 =80 - =57 x=57-49 =8 8 P+ P P P+ P=;!;. P+ P=;!;_90=45(cm ) 5 = = = =;7#; =;7#; =;7#;_5=5(cm ) 5 cm = + = + = 9 P=;5@;_45=8(cm ) 8 cm 8
Q OX FGH = FGH =_50 =00(cm ) H F G 4 =00 =0(cm) ( >0) 4 =4_0=40(cm) 40 cm. 0 =, = =60 - F= (SS ) F (SS ) = =F, F = = F. =. O = =;@; O=;@;_;4!; =;6!;. 4. 5 F O OF F, =F F. F= =(cm ) O=;!; =8(cm ) OF= F- O =-8=4(cm ) 4 cm F =F =F, =F F F= F=45 F F =F F = F=90,, = F F (RH ) =F =F, =F F F + + +F =F +F = =_8=6(cm) 6 cm LTUR OOK G F H (SS ) 4_;6!; =4_;6!;_5_5=50(cm ) =, =G, = G F 0 60 0 9 0 y=-;#;x+0 04 05 90 06 48 cm 07 6 cm 08 7 4 F F= F= F F = = =(cm) = = = H =H =;!;_=7(cm) =, =, = +60 = 0 (SS ) = GF= G ( ) FG FG=80 -( GF+ GF) F =F + =+7=8(cm) =80 -( G+ G) 8 cm = G=60 60 9
LTUR OOK Q OX 0 G x x F F x æ G x x G =G =FG F = G = F = x FG= F= = x G= G= x =90 + x=90 x=9 9 0 O =OF =x y 0-x 0-x 0 4-x = =0-x, x O x F 4-x 4 x =F =4-x =6 (0-x)+(4-x)=6, x=8 x=4 (4, 4) (0, 0), (4, 4) y=ax+0 4a+0=4 a=-;#; y=-;#;x+0 y=-;#;x+0 04 F (S ) F = HG G (S ) HG =G I F, H FH,. + I=90 F=, IF= I FI=90 FI=90 HI=90 FI HI (RH ) F =H FH HF= FH=;!;_(80-70 )=55,,. G =O =O, GF = =O =O 4. a y b y=ax+b ( ) =() IF= IH 05 F= a, F= b = a, =80 - b a=80 - b a+ b=90 F= F= a () F=80 -( a+ b) =80-90 =90 90 06 O= GF=90 G =O, GF =O FG G O FG= O FG=_;4!; FG=_;4!;_96=48(cm ) 07 = ( ) = () =. = =xcm =(0-x)cm =x (0-x) 0-x = _ 0 0-x = _;!; 0 =;5!; 0-x _;!;=;5!; 0 x=6 08 = F F= F F F = 4 F= F F=7 4 O G F 48 cm 6 cm 7 4 0
Q OX p_;5(; =;; 5 ;;p(cm) ;; 5 ;;p cm l cm (p_) l=5 l=;; 5 ;;p(cm) 0 ª F, F. 0- FH, GH 0,, 0-,,,,,, 05-8= r cm r 6= r=9 p_9 =8p(cm ) 8p cm LTUR OOK 0 FG =6 =4 0 x=4 x=;; ;; = =90, G= =65 y=60-(90+80+65)=5 x+y=40. 0 =80 -(57 +45 )=78,, 0-0- O r cm = = = r 5= 5 r=9 O p_9=8p(cm). ª (SSS ), = =4 8p cm ª (SS ) ª (SSS ) 04 IJ =6 8= 4 ª (SS ) x = 4 x=9 y= 4 y=6 x+y=5 0, = = ª (SS ) 04- GI =6 9= = =8(cm) GJ = GJ =8(cm) 05 5 5 r cm r=5 r=;5(; () =() =( ) =( ) = 5= =0(cm) 0- = = ª (SS ) = = =8(cm)
LTUR OOK Q OX 0, = ª ( ) = 8 4= 8 =6(cm) =6-4=(cm) cm 0- = (), = () ª ( ) = 8 = 9 =6(cm) = ( +) = 9 =6(cm) 9+6+6=(cm) 04 = =90, ª ( ) = 6= 8 =9(cm) = - =9-8=(cm) cm 04- = =90, ª ( ) = 8=6 =9(cm) 05 =H _ 4 =_x x=: : =H _..,. =8-6=(cm) =;!; =;!;_8 =6(cm). 05- H =H _H H =4_9=6 H =6(cm) ( H >0) H=;!;_9_6=7(cm ) 06 F =, = F=90 ª F ( ) = =F =4 8=4 4 06- F =, F= () Fª ( ) = =x cm F = (x+) x=8 6 x=6 6 cm Fª ( ) =F 6= =6(cm) = =6(cm) 07 FO, = FO=90 ª FO ( ) O = FO 6 0= FO FO =;; ;; (cm) OOF O= FO (), O =O, O= FO=90 O OF (S ) F =O +FO =FO =_;; ;;=5(cm) y =: :_{: :+}=: ;9);º: y=: º:( y>0) x+y= 5_y={+: :}_4 y=: º: _ = _H 07- FF F= F(), F= F() Fª F ( ) F F = F 6= F =(cm) =F +F =+6=8(cm)
Q OX 08 F = =90, 8`cm 6`cm 0- F F= + 6`cm F = + = =90 - = F F= F+ F = F+ = ª F ( ) ª F ( ) : = : F = F 6 8= 0 =0(cm) 08- QFPQ P = =90, Q QF=90 - QF 8 = PQ 0 F 6 QFª PQ ( ) F Q =Q P 6 8=8 P P =;; ;; ;; ;; 08- = + =7+8=5(cm) F =F = -F = -F =6-6=0(cm) Q = -Q = -Q =6-8=8 =0 0 =;; ;;(cm) F = F 5 F =0 0 F =;; ;;(cm) F ;; ;;+;; ;;+0=8(cm) 8 cm ª F ( ) = F = F = F ;!;_(+5+0)=8(cm) LTUR OOK ' =5-5=0(cm) '' = =60, '=0 - ' 8`cm 7`cm = ' 5`cm' = =5(cm), = =90, = 0 (RH ) =, = =(cm) = =90, ª ( ) 'ª ' ( ) = ' =' ' 8 0=7 ' ' =: 4 :(cm) = + =+8=0(cm) =0 0 =6(cm) = =6(cm) 6 cm =' =: 4 :(cm) : 4 : cm. 0- = = =. = =6(cm) = (), = ( ) 0 F F= + = F+ =. ª ( ) = 0 6= (0- ) =;; 4 ;;(cm) F= F+ F = + F= ª F ( ) = F 6 =9 F F =. 0 = _ =8_=6 =4(cm)( >0) M M =M =M =;!; =5(cm)
LTUR OOK Q OX M = _M 6= _5 =;; 5 ;; (cm) ;; 5 ;; cm 0- = _ = _8 =8(cm) O O =O =O =;!; =(cm) O =-8=5(cm) O=;!; =;!;_5_ =;^); (cm) ;^); cm = + =8+8 =6(cm) 06 ª ( ) ª (SS ) ª (SSS ) ª ( ) 07 ª F (SS ) ª F ( ) F =50, =05 F=80 -(50 +05 )=5 ª F ( ) ª F (SSS ) 0 0 0, 04 05 06 07 08 09 0 4 5 60 cm 6 9 cm 7 8 8 cm 9 0 ;; ;; cm 4 cm 4 4 cm 5 ;ª0; cm 0 08 PP P P =P P =, P= P ( ) Pª P (SS ) = 4 = =6(cm) 09 =, ª ( ) = 6 = 4 =8(cm) = - =8-=5(cm) 0 ª F ( ) a d=b f=c e 0., 04 O =4, = 4 O' = O' =6 '' = '' = '(6, ) 05 FH = 8= HI = 9 HI = HI =6(cm) GHIJ 4_6=4(cm) = =80, = F=40.. 0 F, F= =60 Fª ( ) =F (8- ) 8=F 8 =F (8- ) 8= 8 =4(cm) F 4_4=6(cm) F F= =90, F=90 - F=90 - F = Fª ( ) F = 4 6=6 =9(cm) F = -F =9-4=5(cm) 4
Q OX = =90 =90 - = 8 ª ª ( ) = 0 6= =5(cm) = =, ª (SS ) = ª ª ª ª ( ) 9 9= =8(cm) ª F F F 8 cm LTUR OOK 4 0 =8_ =: : (cm) =;; ;;-8=;(; (cm) = _ F F F = =90, =8_;(;=6 =6(cm)( >0) =;!;_: :_6=: : (cm ) 5 =H _ 7 =5_(5+H ), 5H =64 H =;^5$;(cm) = _ = = = =90 - = F ª F ( ) = F F F = F F =F F = H =H _H H =5_;^5$;=64 H =8(cm)( H >0) H=;!;_5_8=60(cm ) 60 cm 6 FF F= F, F= F Fª F ( ) F F = 5 F =5 F =9(cm) 9 cm 7 x y x+y FGH 6 9= x 5= x=0 8 y= y= x+y=0+=.. = - =8-5= = = = =(+) =5 0 =, =, = =60 (SS ) = F= ( ) Fª ( ) =F =F 5 _F =5 Oª O ( ) O O =O O 8 O =O 8, O =44 O =(cm) ( O >0) Oª O ( ) O O =O O 8=8 O O =: : (cm) Oª O ( ) O O = 8 : := 4 =: : (cm) : : cm 5
LTUR OOK Q OX =x cm =(4-x)cm, =(6-x)cm Fª F ( ) : F =F : (4-x):x=x : (6-x) x =(4-x)(6-x), 0x=4 x=: 5 ;; F= F=90, F= F () 0 = x 4=6 x=8 F=: 5 ;;_: 5 ;;=;; 5 ;; (cm ) = 6 (6+)=8 y y= x+y=0 0- = F 8= (+) =;; 5 ;;(cm) Fª ( ) : F = : : = :6 =8(cm) Fª F ( ) : F = : F : =(8-6) : F F =4(cm) = =60, F=60 - F = = =60, F= F ( ) = 6 = =4(cm) = = = 0 = 5 0=x 4 x=7 = 4 cm y=5 0 y=6 4 Fª xy=4 0- = F 6 =x 4 x=8 O =O, O = = (+5)= 8= 4 F G =GF (8+) 4=5 y y= x=8, y= 5 F= (), F= () Fª ( ) F = F 6= 4 F =4(cm) 4 cm M 0 =G F =G F 0 (0+ )=5 8, 80=50+5 5 =0 =6(cm) 0- F G =F G =F G F =(8-F ) 9 F = 04 FG F =FG GM MH M M =M =M =;!; =;%; (cm) GM =G -M =4-;%;=;#; (cm). 5 (5+)=FG 4 FG =;; º;; G H F F =FG FH 5 (5+9)=;; º;; FH FH =;; ;; ;; ;; GM GM =MH _M 04- FG G =FG 8 (8+4)=6 y y=9 {;#;} =MH _;%; MH =;ª0; (cm) = ;ª0; cm 4 (4+8)=x 9 x= y-x=6 6 6
Q OX 05 6 (9-6)+ 4 6 =8 4 9+9 6 5 9+ 6 0 (6-0)=5 9 05- P P =R R = PR, = = 0 MN =;!; =;!;_0=5(cm) x=5 MN NM= =70 MN y=80-(70+50)=60 x+y=65 ª PR(SS ) 06 P Q =P Q =P Q 8 0=P 5 P =4(cm) 4 cm 06- = = 8 =x 6 x=4 8 =0 y y=5 0- =;!;, F =;!;, F =;!; F +F +F =;!;( + + ) =;!;_40=0(cm) LTUR OOK x=4, y=5 0 M =M, MN N =N =6(cm) x=6 MN =;!; =;!;_0=5(cm) y=5 x-y= 0 4 8= (9- ) =6 =(cm) 0- = =(cm) x= 4 = y y=;#; x=, y=;#; 0 9=6 =(cm) =6-=4(cm) 0-5 =(+4) =9(cm) 0 = =0 =5 =5 = = () = () = = = F =F, G =G G F 0- M =M, MN = MN =_=4(cm) Q =Q, PQ PQ =;!; =;!;_4=(cm) RQ =PQ -PR =-=9(cm) 9 cm 0 F =F, G =G F =G =_6=(cm) F =F, F =F =_=4(cm) G = -G =4-6=8(cm) 8 cm =;5*; =;5*;_70=(cm ) 0- = = 8= = 0- G G =, G =G G F `cm G = G =G, F G 54= G =F =_=6(cm) =7(cm ) 7 cm =G =_6=(cm) 7
LTUR OOK Q OX 04 G F (S ) G G =F =4(cm) F 4`cm F =, G F G= F(), =, G= F ( ) 06- MN G GN =;!; GN=;!;_8=4(cm) M 8`cm G `cm N F =G =_4=8(cm) =F +F =4+8=(cm) MG =-4=8(cm) = MG =_8=6(cm) 04- MN =;!;( + ) G =, G G 0`cm F ;!;(8+ )=, 8+ =4 =6(cm) G =;!; =;!;_0=5(cm) G F (S ) F =G =5(cm) G= F(), =F, G= F ( ) 05 F =HG =;!; =;!;_0=0(cm) H =FG =;!; =;!;_4=(cm) FGH _(0+)=44(cm) ( FGH)=0+4=44(cm) 05- H =;!; =;!;_=6(cm) F =;!; =;!;_6=8(cm) F HG H FG F H FGH FGH=6_8=48(cm ) 48 cm 06 MQ =;!; =;!;_0=5(cm) MP =;!; =;!;_6=(cm) PQ =MQ -MP =5-=(cm) cm,, = = (+) = 4 GF.. 0 4 8=x 4 x=7 4 8=6 y y= x+y=9 0-4=x 6 x=;(; 9=4 y y= 4 5=6 z z=: : x+y-z=9 9 0 8`cm H H =G H G F 4=G G =(cm) `cm H 8`cm GF GF = =8(cm) F =G +GF =+8=(cm) 0- k 4`cm k l `cm m 6= (x-4) 4`cm `cm 4`cm x=0 {x-4}cm 4`cm n 0 8
Q OX 0 =G 8 =G 5 G =0(cm) G =GF 4 =GF 9 GF =(cm) F =G +GF =0+=(cm) cm G = =4 (4+8) =4 0 = = 0= 5 F F = = 5 0- =F F 6 x= 4 x=8 GF =F 9 y= 7 y= x=8y= 04 ª ( ) = = 5=4 5 =4 9 x 0=4 9 x=: º: y 5=4 9 y=: º: = () = () F = 5 F =;; 5 ;;(cm) 0- F =F F = = = 6 = =(cm) F =;!; =;!;_=4(cm) 4 cm LTUR OOK x+y=0 04- F =(a+b) b F =a (a+b) 05 Fª ( ) (-x) = 6 x=8. 0 I. = 5 =6 4 =0(cm) = 5 0=(0- ) =4(cm) = = ª ( ) =6 y y= x-y=5 05- ª ( ) = ª F ( ) =5 =F = 6 = = =5 0 = 0- I 9`cm. = 9 = (8- ) =: 7 : (cm) I 8`cm `cm 06 O O = =8 4= 4=O 4 O =6(cm) I I I = =9 : 7 :=7 6 4=OF 4 OF =6(cm) 7 6 F =O +OF =6+6=(cm) cm 0 = 06- =N 5 N =0(cm) =M M =4(cm) MN =0-4=6(cm) 6 cm = = (+) = = + =4+=6 0 5= =4 = 0 5=(6+ ) =6 9
LTUR OOK Q OX 0- = 0 6=(8- ) =(cm) = 0 6=(8+ ) =(cm) =;!;_ _ =;!;_5_6 =45(cm ) 45 cm 04 90 p k l m n k 7 l x-7 7 p m =(x-7) n x= 7 04-6`cm F J G I H J J =GI 9 9`cm 6`cm GI =6(cm) IH IH = =6(cm) GH =GI +IH =6+6=(cm) cm 05 ª F ( ), = =0 6=5 (4- )=5 =;%;(cm) 05- (RH ) = =6+=8(cm) Fª ( ) F =F 6 8=F 4 F =8(cm) F F =F 6 8=8 =4(cm) F = +F =4+8=(cm) cm G, H F PQRS. S H =H, PH S PH =;!; S = + =+=5(cm) Q F =F, FR Q RF =;!; Q F=;!; =;4!; = =;!; = F=90, = F ( ) P= P. 06 P =, P Q Q =QP R RS =S Q =QP =RS =S =PH H =0(cm) Q +QP +PH =0, PH +PH +PH =0 5PH =0 PH =4(cm) 4 cm 06- S =SR =PQ =Q =RF F =S +SR +RF =RF +RF +RF =5RF RF =;5!;F RF=;5!; F RF=;5!;_;4!; RF=; 0;_60=(cm ) cm 0 P=;!; =;!;_;!; P=;4!;_=8(cm ) 0- P= - P P=;!; - P P=;!;_0-5=0(cm ) 0 cm 0 x=;!; =6, y=;!; G = x+y=9 0- G =;!; =;!;_8=6(cm) GG' =;@; G =;@;_6=4(cm) 4 cm 40
Q OX 0 = =_9=8(cm) Fª ( ) x 8= x= y= y=;; ;; x-y=;; ;; ;; ;;, F= () O =O =5(cm) 06- P, Q, PO =;!; O =;!;_5=5(cm) OQ =;!; O =;!;_5=5(cm) PQ =PO +OQ =5+5=0(cm) 0 cm 0- G = G' F =GG' F = 4 F = F =6(cm) =F =_6=(cm) _=6(cm) 6 cm =, =F =F 6. 0 ª ( ) =8 4= LTUR OOK 04 G = G+ G =;6!; +;6!; =;!; G =, =4 60=4 =5(cm ) =60-5=45(cm ) 45 cm 0- =;!;_6=(cm ) = 4 9, 04- = G =_6 G' =8 G' =8_=54(cm ) 54 cm (4-) (9-4)= 5 x cm 5 x= 5 x=5 5 cm 05 G G=;!; G=;!;_;!; G. 0 Oª O ( ) 4 OO= 4 =9 6 O 96=9 6 G=;4!; G=;4!;_=(cm ) O=54(cm ) 54 cm 0- Oª O ( ) 05- =;!; G=;!;_;6!; G=; ; =; ;_44 OO=4 54=4 9= O O = G=(cm ) cm 4O= O=6(cm ) 06 P, Q, O Q P 4`cm M P =PO, Q =OQ O =O P =PQ =Q N 4 6=.4.6 = 0 =4 9 x ml 480 x=4 9 x=080 P =;!; =;!;_4=8(cm) 080 ml 4
LTUR OOK Q OX 0-0 =5 8 5 8 =5 64 cm x 0000 x=5 64 x=5600 04, =4 9 x cm 5 x=4 9 x=7 7 cm 04-5 64=5 8 5 8 0 a=5 8 a=6 b 4=5 8 b=5 a+b= 05, 7 64= 4 4 x cm x = 4 x=9 9 cm 05- = 8 (8-)= 7 7 06 4 5= 5 5 5 =8 5 x cm 48 x=8 5 x=750 750 cm 06-, 6 750=7 5= 5 5, 5 =9 5 9 5 () =() =( ) =( ) () () = () m=00 cm km=000 m m =0000 cm km =000000 m 4000 cm =.4 m m n m n m n () () = () 07 9 5= 5 5 =7 5 x ml 8 x=7 (5-7) x=94 94 ml 07-5 5=7 5 7 5 =4 5 4 (_5)=4 50 4000 08 5_50000=50000(cm)=.5(km) 0_5000=50000(cm)=0.5(km) 0_0000=00000(cm)=(km) 00_00=0000(cm)=0.(km) 0_0000=400000(cm)=4(km) 08-00 00 = 40000.4_40000=56000(m ) 56000 m 09.6`m `m 5`m ª ( ).6 = 5 =4(m) 4m 09- ª '' ( ). (.+.4)=.5 '' '' =4.5(m) 4.5 m cm cm 0 ()= = = 4 m 400 cm 800 8_800=6400(cm)=64(m) 4
Q OX 5 cm 5 cm 0- ()= = = 4m 400 cm 80 6.5_80=50(cm)=5.(m) 5. m 0 =, F = F =_5=0(cm) = = =_0=0(cm) x=0 G =G =_6=8(cm) F =;!; =;!;_8=9(cm) y=9 0 =, F =F F Gª GFH ( ) G GH =G GF = G 4= G =8(cm) =G =_8=4(cm) G= GFH (), G= GHF () x+y=9 9 0- =, F =F =F =_=4(cm) G G =;@; =;@;_4=6(cm) 6 cm 0 =;!; =;!;_60 P LTUR OOK =0(cm ) 0- F P F F GHª G ( ) Gª G ( ) F =F FJ FJ =;!; = J J =;!; = FJ =J I =I H =FH 6. HG= G (), GH= G ( ) G= G (), G= G ( ) P=;6!; =;6!;_0=5(cm ) 0- O O Q P, Q P N, M PMO=;!; =;!;_;!; PMO=;6!;_48=8(cm ) J H FI F GF QON=;!; =;!;_;!; G =JG G =G G =4JG J =G -JG =4JG -JG =JG J JG = QON=;6!;_48=8(cm ) ( ) = PMO+ QON=8+8=6(cm ) 0- G=;!; =;!;_48=6(cm ) Gª G ( ) G G = =4 6G=4 G=4(cm ) 04 MN ª MN ( ) MN = =4 NMMN= (4-)= 8MN= MN=54(cm ) 54 cm 4
LTUR OOK Q OX 04- HI GHIª G ( ) GH G = = 4 GHI=;4!; G=;4!;_;!; GHI=;8!;_64=8(cm ) 8cm 05 = 8 x 5 x= 8 x=40 40-5=5( ). 05-4 4 =7 64 x 54 x=7 64 x=8 8-54=74( ). 74 05-, 0`cm 0`cm ;!;_0=0(cm) 0`cm 0 0= =8 ( ) ( )= 7 x x 8= 7 x=4 4 = =8(cm) = =6(cm) m n m n =, G= F (), G= F ( ) (8-)= 7 0 =F 8=4 6 =: : (cm) 0 F G =F G =F G 4 0=F 6, 0F =64 F =: 5 :(cm) 0 =MÚN =_7=4(cm) x=4 MN MN= =65 y=80-(45+65)=70 x+y=84 84 04 G G GF 4`cm (S ) F G =F =4(cm) F = G F G =GF =G +F =4+4=8(cm) =G +G =8+4=(cm) 05 MP =;!; =;!;_6=(cm) MQ =MP +PQ =+=6(cm) =MQ =_6=(cm) 06 4 6=x 6 x=4 6=y 4 y=;$; x-y=4-;$;=;*; 0 0 0 84 04 05 06 07 08 09 8 cm 0 cm 4 60 ml 5 6 7 4 cm 8 8 cm 9 7 cm 0 4 cm 4 5 40 m Fª ( ) 07 =F = 6= = F = = =(cm) 08 P =PQ =Q P= PQ= Q = =_ PQ =6 PQ=6_=8(cm ) 44
Q OX 09 = = =;!;_4=(cm) G =;@; =;@;_=8(cm) 8 cm m n m n m n 5 4 9= =8 7 x cm 4 x=8 7 x=8 0 G G = G =;@; =;@;_5=0(cm) = H H =;!; =;!;_5=: :(cm) HG =G -H =0-: :=;%;(cm) () () = () = 6 0_50000=000000(cm)=0(km) 4 km : 4º:=.5() 0. 7 LTUR OOK G=;6!; =;6!;_6=6(cm ) GG'=;@; G=;@;_6=4(cm ) =8 6=4 GG'G' =GG' G' = =4 (7- ) =4 =(cm) =4 (7+ ) =4, F, M =F N =, =(cm) = + =+=4(cm) 4 cm Fª MN (SS ) F MN = M 8 F 5= F =0(cm) Fª Gª ( ) FG= = 4 9 GFG=(4-) (9-4)= 5 GF 0= 5 GF=(cm ) cm. =MN =0(cm) =F =F F =;!; =0(cm) G H F G G F H G =HF = =6(cm) G 6`cm F H `cmg 6`cm =H G = H = H =(cm) F =H +HF =+6=8(cm) 4 4 4 =9 6 8 cm x ml x 640=9 6 x=60 60 ml 9 GG G 45
LTUR OOK Q OX Gª G (SS ) GG= =4 G 6=4 G=4(cm ) F M = G=_4 =7(cm ) 7 cm M F M F M = F 0 F (+8)=F 5 F =5(cm) F F (+8)= 5 =9(cm) = M =M F M = Fª M ( ) =F M = =4 =4_6=4(cm ) 4 cm Hª (SS ) = H= = 4 =H =, H 4 G =F H=;4!; F F=;4!;, GF=;4!;, HG=;4!; H+ GF+ F+ HG =;4!;( + ) +;4!;( + ) =;4!; +;4!; =;!; G =, G= F (), G= F ( ) G G F G G F (S ) G =F F G = = F = G = FGH=;!; = FGH=_0=0(cm ) 5 F = 4 4 =8 7 64 8`cm 4`cm m n m n 0`m 0`m 60`m `m F `m F = F=90, = F ª F ( ) (64-8) (7-8)=56 9 = F x cm =(0+60) =40(m) x 57=56 9 x=68 40 m. 40 m 46
Q OX 0 cm 0 6 0 ;; 7 ;; cm 04 ;; 5 ;; cm Fª M ( ), M =F F F M M M =F M 4 7=F 6 05 54 cm F =;; 7 ;;(cm) 0 M = M=90, 0`cm =90 - = M ;; 7 ;; cm = M ª M ( ) = M M =;!; =;!; M. 04 = = 5=4 5 =;9$; LTUR OOK = M = ;!; = = M = =M yy yy ª ( ) = = _ M = =;9$;_{;!;_9_}=4(cm ) = _ = _5 =;; 5 ;;(cm) F, = =_M =4M = F=90, = F M =4 ª F ( ) M =;5!; M =;5!;_0=(cm) F = = ;; 5 ;;=5 4 cm F F = 4 F=;5!; =;5!;_4=;; 5 ;;(cm ) 0 ;; 5 ;; cm 8`cm 4`cm ' 8`cm P ' P ' P = 'P P +P. tp +P P =t, P =8-t 'Pª P ( ) 05 M MG M =MG M = G G, G G =;!; G G G G M ' =P P G G, G G =;!; 8 4=t (8-t) t=6 G G, G G =;!; 6 G G, G G =;!; 0 ª M ( ) M = M =8 6=4 yy Fª FM ( ) F F = M =8 6=4 yy = M (), = M ( ) F= MF (), F= FM ( ) G G G G ª = 9 =9 G G G G =9_6=54(cm ) 54 cm 47
WORK OOK Q OX 00,,, 4, 6, 6 5 5 0. 00 5 (, 4), (, ), (, ), (4, ) 4 0 (4, 6), (5, 5), (6, 4) 4+=7 00 (, ), (, 4), (, 5), (4, 6), (6, 4), (5, ), (4, ), (, ) 8 00 x<y (x, y) (, ), (, 4), (, 5), (, 6), (, 5), (, 6) 6 004, 6, 9,, 5, 8 6 6 005 6 4 7 8 006 (, 4), (, 6), (, 8), (4, 6), (6, 8) 5 5 007. 008 6. 00 ( ) 0 00 ( ) 7 6 5 50 ( ) 0 4 5 50 ( ) 4 6 0 ( ) 0 0 5 0 5 5 6 009 8. 00 ( ) 500 ( ) 4 600 700 800 900 00 00 00 400,.. 0 0 (, ), (, ), (, ), (4, 4), (5, 5), (6, 6) 6 (, ), (, ), (, 4), (4, 5), (5, 6), (6, 5), (5, 4), (4, ), (, ), (, ) 0 6+0=6 6 0,, 5, 7,,, 7, 9, 9 6 6,, 8, 4 4 9+4= 0 9 9, 8, 7 6,, 4, 8, 6 5 +5=8 04 4, 5 4+5=9 9 05, 4 +4=6 06,, KTX 7 ++7=0 0 07 4 4+=7 48
Q OX 08, 08 5 +=5 5 n n_(n-) 5_4=0 09 S 8, L 09 0 5,P 6 0_9_8=70 8+5+6=9 00 64 6_5_4_=60 00 =6 6 0 6 6_5_4 =70 0 ( ) ( ),, 5 =8 0 xy x, y _=9 9 nr (n-r). ()_()=() ()_()=() ()_()=() ()_()=() 0 =6 6 0 4 4 =4 04 6 6_5_4 =70 05 WORK OOK 0 5, =6 4 5_4=0 06 4 =4 I 04 _=6, 4 =4, 4+4=48 +6=8 8 05 4, 4 4_4=6 ( ) =( ) _( ) 07 =6 _= 06 4 6_= 6 4_6_=48 48 08,, 4 4 =4 07,, 4 =6 =6( ) 4_6=44 49
WORK OOK Q OX 09 5 _= 5_4 =0 _0=40 040 _= =6 _= _6_=4 04 7, 6 7_6=4( ) 04 8, 8, 8 8_8_8=5( ) 04 0 9, 0 9_0=90( ) 044 44 4_4 =96( ) 96 045,,, 4, 4 5 046 0 4 4 4 4 40, 4 4+4+4+=4( ) 4 4, 6, 8, 0, 5 0,, 4, 6, 8,, 5, 7, 9. n n_(n-)_(n-) 0 n 4 (n-)_(n-) _(n-)_(n-)( ) 047 0_=6( ) _=4( ) 4_=4( ) 6+4+4=4( ) 048 5_4=0( ) 4 4, 6 4, 8 4 4+4+4=( ) 5 4, 7 4 4+4=8( ) 45, 48, 54, 57, 75, 78, 84, 87 8 78, 84, 85, 86, 87 5 049 7 7_6=4 050 0 0_9_8=70 05 5 5 6 6_5=0 5_0=50 50 05 6 6_5_4 =0 05,, _ = 054 5 5_4 =0 8 8_7 =8 0_8=80 80 055 0 0_9 =45( ) 50
Q OX 056 5 5_4 =0( ) =7 7 0_=0( ) 057 n n(n-) =, n(n-)=4=7_6 n=7 058 5 5_4 =0( ) 0 059 4 4_ a= =6 4 b=4_= a+b=8 8 060 7 7_6_5 =5 4 4 =4 n n_(n-) ( ) n, n_(n-) ( ) n_(n-)( ). 06 5 4,,,,,, 5_4 =0 0 064 4, 4 =7 7 WORK OOK 5-4=( ) 06 P P P 6 6 _6=8 06. n. 065 5 5_4=0( ) 40 4 5_4=0( ), 4 5. 5 066 a 4 =4( ) b 4 =4( ) 7 c 4 =4( ) 7 d dabce. 5
WORK OOK Q OX 067 6_6=6 7 6 6 = 6 6 076 x (x+) 6 (, 6), (, 5), (, 4), (4, ), (5, ), (6, ) 6 6 =, (x+)=0 x= x+ 5 068 069,, 0 070 5_4 =0 4 =4 4 = 0 5 8_7_6 07 =56 7_6 = = 56 8 07 5_4_=60( ) 4 45, 45, 45 5 4_=( ), 45 +=5( ) 5 = 60 4 07 6_6=6 - y 4 y=-x+4 y=-x+4 (x, y) (, ), (, ), (, ) = 6 074 6_6=6 a+b= (a, b) (, 5), (4, 4), (6, ) = 6 075 6_6=6 x+y<9 (x, y) (, ), (, ), (, ), (, 4), (, 5), (, ), (, ) 7 7 7 6 6 8 0 4 ~5 4. 5 5 5, 0, 5 x 0. ay b y=ax+b. (,, ), (,, ) 077 n, x x 5 =, 5n=6x yy` n 6 (n+) x x 4 =, 4(n+)=5x yy` n+ 5 x=0 0 078 5 = 5 5 4 - = 5 5 6 4 079 = 00 5 4 - = 5 5 0 080 x,, 4, 5, 0, 0 6 x 0 6 = x 0 0 7 - = 0 0 08 =8 = 8 4 - = 4 4 08 5_4=0 _=6 6 = 0 0 7 - = 7 0 0 0 5
Q OX 8_7 08 =8 n 4 089 4 = 4 = 4 5_4 n_(n-) =0 0 5 = 8 4 5 9 - = 4 4 5 45 7 7 084 + = 00 00 0 0, 6, 9, 4,, 4 p -p = 4 4 48 090 4 8 _ = 5 5 8 7 - = 5 5 085 5_4=0( ) 5 6 6 = 0 0 95 = 0 0 + = 0 0 5., 5, 7, 9,, 5 6 95, 97 5 09 _ = 5 7 7 4 - = 7 7 09 _ = 6 6 4 - = 4 4 WORK OOK 086 6_6=6 4 (, 5), (, 6), (6, ), (5, ) 4 4 = 6 9 5 (, 6), (6, ). 09 _ = 5 0 _ = 7 7 + = 0 7 70 70 = 6 8 + = 9 8 6 094 _ = 6 4 087 _ = 0 0 5 5 _ = 4 6 4 + = 4 8 088 4 4 = 6 4 4 = 0 5 6 4 4, 8,, 6 4 0 4 4, 8 095 4 _{- }= _ = 6 5 6 5 5 5 {- }_ = _ = 6 5 6 5 6 _ = 4 5 0 0 + = 5 6 0 5
WORK OOK Q OX 096 = 4 4 097 4 9 _{- }= _ = 5 7 5 7 5 4 4 8 {- }_ = _ = 5 7 5 7 5 9 8 7 + = 5 5 5 4 098 = 0 5 6 {- }_ = _ = 5 5 5 5 5 6 6 6 + = 5 5 5 5 099 _=9 = 9 - = 00 =7 (,, ) (,, ), (,, ), (,, ) = 7 9 (,, ) (,, ), (,, ), (,, ) = 7 9 (,, ) (,, ), (,, ), (,, ) = 7 9 + + = 9 9 9 4 0 = 0 5 4 = 0 5 4. F, R, I,, N,. -() (, ), (, ), (, ) 4,,, 5, 6, 7. () () = (). _ = 5 5 5 0 F _ = 6 6 6 6_ = 6 6 0 9 _ = 0 0 00 7 7 49 _ = 0 0 00 9 49 9 + = 00 00 50 04 4 = 6 _ = 7 7 9 05 _ = 40 9 40 7 9 _ = 40 9 40 9 9 9 + = 40 40 0 06 = 8 7 6 56 55 - = 56 56 07,,, 08 _ = 4 5 0 09 p_ -p_ 8 = p_5 5 p_5 -p_ 6 = p_5 5 55 56 0 8 6 8 _ = 8 5 5 65 65 7 54
Q OX 0 ()+() 4 _{- }= _ = 4 5 4 5 5 ()+()=() ()+()=() ()+()=() ()+()=() 6 P 5 = 6 ()+() {- }_ = _ = 4 5 4 5 0 + = 5 0 0 4 _ = 5 4 5 4 - = 5 5 4 5 ()_()=() ()_()=() ()_()=() ()_()=() 7 P 6 = 6 P 5 = 6 _ = 9 9 0=_5_ 0 0 8 8 4 = 0 55 44= _ 44 90 8 8 4 = 90 45 4 4 4 - = 45 45 45 4 _{- }= _ = 0 4 5 4 0 4 {- }_ = _ = 0 4 5 4 5 7 + = 0 5 0,, 5 = 6,,, 4. 8 = 8 5 + = 8 8 4 9 _ = 7 6 7 _= 7 6 5 5 + = 7 5 5 5 0 _{- }= _ = 5 4 5 4 0 6 {- }_ = _ = 5 5 5 5 5 6 9 9 + = 0 5 00 00 WORK OOK 5, 4 4 8 _ = 6 7, _ = 6 7 7. 9 6 9 7 _{- }= _ = 4 9 6 9 7 {- }_{- }= _ = 8 + = 7 7 + = 4 55
WORK OOK Q OX 0 =;!;_ _ =;!;_ _ ;!;_9_=;!;_5_ 54=;; ;; =;; 5 ;; ;; 5 ;; SSS = =80-66 =4 = =;!;_(80-4 )= 4 = = +5 +_( +5 )=80 =50 =50 50 5 SS 6 = =80-0 =70 x=;!;_(80-_70)=0 y=;!;_=6 x=0, y=6 7 = =;!;_(80-00 )=40 =;!;_40 =0 =80 -(0 +40 )=0 0 8 =;!;_(80 - )=74 F F= F=;!;_(80-74 )=5 = =;!;_(80 - )=74 x=80 -(74 +5 )=5 5 9 PP =, P= P, P P P (SS ) P =P, P= P P= - P = - P = P. 80. F. =, = = =65 x=80 -_65 =50 50 = = = (), = () = = = =80 -(80 +50 )=50 = =;!;_(80-50 )=65 F= =50 F=80-65 =5 F x=80 -(50 +5 )=5 5 4 = =6 =6 +6 =7 x=;!;_(80-7 )=54 5 = x = x x = = x x+ x=99 x= x x x 99æ 6 = = a = a a+ a= a= x a+ a+90 =80 a=0 x= a=60 60 7 = = x= x = = x 56
Q OX x+ x+ x=80 5 x=80 x=6 8 = =;!;_(80-7 )=54. 4 = () = ( ) = =;!;_(80-5 )=64 x 5æ x=80-64 =6 =;!;_54 =7 =;@;_(80-54 )=84 +7 =84 =84-7 =57 44 = G () = G ( ) = =., 9 = x, = y x+0 = y yy = x x+ y=80 yy, x=5, y=55 = =_5 =70 =80 -_70 =40 40 45 = () = ( ) = = = =0(cm) =;!;_0_9=45(cm ) 45 cm WORK OOK 40 =7-6 =6 =. =80-08 =7 =. = = =6(cm) 6 cm. 46 =;!;_(80-48 )=66 = =48 = - =66-48 =8 4 = =;!;_(80-6 )=7 =;!;_7 =6 = =6 +6 =7 =. = = =5(cm) 47 = x = x = = x+45 = x+ x= x x+( x+45 )+45 =80 x=90 x=0 = x=60 x x x 45æ 4 = PM= NM MPMN PM= NM PM= NP ( ) NM= NP NP N =P N =P =9-5=4(cm) 4 cm =, =F, = PM=90 - PM =90 - NM = NM 48 = F (SS ) = F =80 -( + ) =80 -( F+ ) = F=66 x=80 -_66 =48 48 57
WORK OOK Q OX 49 = =;!;_(80-40 )=70 F (SS ) = F F=80 -( + F) =80 -( F+ F) = =70 F =F F=;!;_(80-70 )=55 50 (SS ) = P P= P+ P = + =80-60 =0 5 =80 -_65 =50 F 50 + x=60 + y x- y=0 0 5 RH RHS 5 F =80 -(60 +90 )=0 F = F=90, = =9 cm, = F (RH ) 54 M M (RH ) M= M=90-4 =56 x=56 = =(cm) y= x-y=5 5 55 (RH ) = =5(cm), = =(cm) =5+=6(cm) ;!;_(+5)_6=8(cm ) 56 F G (RH ) F =G =4(cm), G =F =6(cm) FG =6-4=(cm) FG=;!; 6=6(cm ) M= M=90, M =M, M =M M= M=90, M, M =M = =90, =, = F= F =, =, = = =90,, = =90 - =90-45 =45 M= M=90, M =M, M= M = =90, =, =90 - = =,,. F= G=90, =, F=90 - G = G 57 M M (RHS ) M M (RHS ) = M 58 (RHS ) = =90-8 =5 x=60 -(5 +90 +5 )=66 59 =90 - =58 (RHS ) = =;!;_58 =9 x=90-9 =6 60 (RH ) = = = =45 = = = + = + 6 RH 6 (RH ) = =8(cm) =-8=5(cm) 5 cm 6 =;!; =6(cm ) =4(cm) = =4(cm) 64 = = =45 =90-45 =45 =;!; =;!;_45 =.5 65, 4 cm 66 P `cm 58
Q OX 67 O,,. 68 O =O =O O= O=8 x= O=70-8 = O O =O =O O, O, O ;!; =6 =6(cm) 77 M =M M= M=90 _;5#;=54 6 cm 69 O O =O M=80 -_54 =7 O =O =;!;_(8-8)=5 p_5 =5p 5p 78 M =M M= =40 M M=40 +40 =80 M M=90-80 =0 0 70 O =O =O O= O=0, 0æ O= O O=70-0 O x 0æ O=40 40æ 40æ O x=90-40 =50 7 O+8 + =90 O=0 O= O=8 =8 +0 =68 7 O= =_8 =76 O'= O=_76 =5 x=;!;_(80-5 )=4 O O= 79 O'O O=;!; OO'=;!;_00 =50 O=90-50 =40 O =O = O=40 80,,. 8 8 I IF, I I, I IF, 8 I= I=5, I= I=5 x=80 -(5 +5 )=0 WORK OOK 7 O=60 _; ;=50 O= O= x O' O' =O'. 84 x+ y+80 =80 ( x+ y)=00 x+ y=50 50 x+ y= =;!; O=75 75 74 85 _6 +70 + x=80 x=9 ;!;_0=5(cm) p_5=0p(cm) 75 O O O = =0(cm) 60æ 0`cm 60æ 60æ O =O =_0=0(cm) 76 O= O=8(cm ) = O=_8=6(cm ) I I+ I+ I =90 O =O O= =60 O=60 r =;!;r( + + ) 86 I= I=90 _; ;=0 87 90 +;!; =90 + I=0 I=0-90 =0 0 88 I=90 +4 =4 I'=90 +;!;_4 =5 89 ;!; ( + + )=6 + + =4(cm) 4 cm 59
WORK OOK Q OX 90 ;!;_4_(0+4+ )=;!;_4_0 _(4+ )=0 =6(cm) 6 cm I F = =0-4=6(cm) F = =4-4=0(cm) =F +F =6+0=6(cm) 9 I 4 cm =;!;_4_4=84(cm ) I p_4 =6p(cm ) 84-6p(cm ) 9 =F =(cm), =F =6(cm) = =-6=7(cm) = + =+7=0(cm) 0 cm 9 F = =(cm), =F =5(cm) = =8-5=(cm) + + =( + )+ +(F +F ) =(+)+8+(5+) =0(cm) 0 cm 94 =F =x = =-x, =F =0-x = + (-x)+(0-x)=8 x=7 95 I= I = I 8 I = = I = = =I +I =+=5 I 96 I= I = I 9`cm `cm I = `cm I I = + =( + )+( + ) =( + I )+( + I ) = + + =9++=(cm) cm I= I= I I= I= I = =90, =, =90 - = r cm pr=8p r=4 M= M=90, M =M, M= M ( ) n 80 _(n-) 97 I =, I = I + +I = + + = =9(cm) 9 cm 98 (RH ) = =8(cm) = = - =8-=6(cm) 99 M M (RH ) = =6(cm), M =M =(cm) = M - M =-=9(cm) =;!;_6_9=7(cm ) 00 O O= O=;!;_(80-80 )=50 O O= O=;!;_(80-40 )=0 = O- O =50-0 =0 0 0 O x x y O= =40 40æ O O y 70æ O= x, O= y O= x, O= y O x+ y+40 =60 = x+ y=0 0 IO 90 +;!; O=44 O=08 O =;!; O=;!;_08 =54 0 O =O O= O=6 I=;!;_90 =45 9`cm IP= O- I=6-45 =7 7 I 60
Q OX 04 ()=;!;_7=: :(cm) p_: :=7p(cm) rcm 08 = =50 () x+( y+50 )+0 =80 x+ y=00 00 ;!;_r_(7+5+8)=;!;_5_8 r= 09 P= P=57 () P x=90-57 = p_=6p(cm) 7p-6p=p(cm). 0 = x+=x+6 x=5 = y=y+6 y=6 =8, = 05 `cm F I,, 0`cm,, F =F =I =(cm) =, =F + + = + + + +F +F = + + +F ( + )=_(8+)=58 58 =5 8 8 =5 =;8%; ( + )=5, {;8%; + }=5 =6(cm) = =6(cm) WORK OOK = + +F =+_0+=4(cm) =;!; 4=4(cm ) 4 cm. = =0 = =65 () x= - =0-65 =45 06 I= I= a, I= I= b x= b+86 y= a+86 a+ b=;!;_(80-86 )=47 x+ y=( b+86 )+( a+86 ) =86 +86 +47 =9 07 I= I= a, I= I= b a+ b+00 =80 yy a+ b+9 =80 yy I I, I,. 80.. 4, FP, PFG, PH, G x=f =, y=g =6-4= a = =0, b = =80-0 =70 x=, y=, a=0, b=70 5 O =O x=x+ x= O =O y-=y+ y=4 x+y=7 7 6 O =O x+=0 x= O =O, a=4, b= =80 -( a+ b) =80 -_(4 + ) =68 68. O =;!; =;!;_(5_-)=6 7 = = = = =5(cm) =8-5=(cm) 6
WORK OOK Q OX 8 = F= = =7(cm) F= F= F F = = =7(cm) =+7=0(cm) _(7+0)=4(cm) 9 =80-5 =8 = =5 = =. 7.. 8 = x+6=4x x= = () y=80-(5+)= x+y=5 F=;!;_5 =6 F F=90-6 =64 F= - F =8-64 =64 0 = =40 () =_40 =80 = =80 =80 -(80 +80 )=0 0 = x=4x- x= =_=6, =_+4=0, =5_+=O +O +O =6+6+5=7 OPOQ OP= OQ ( ), O =O, PO= QO () OPOQ (S ) OQ =OP =6(cm), OQ= OP=90 OQ=;!;_(-4)_6=(cm ) 80 80 4 SS O 5 6, M = -M = -N =N O =;!; =;!;_=6 O =;!; =;!;_0=5 9 F F 0 MÚ N, MÚ =N MN. MÚP QN M N, M =N NM. PN MÚQ MPNQ. O =O OP =;!; O =;!; O =OR O =O OQ =;!; O =;!; O =OS PQRS. O O =O, O =O =O O. F =;!; =;!;_6=8(cm), FO =;!;O =;!;_4=7(cm) O =O =0(cm) OF 8+7+0=5(cm) 4 OOF O =O, O= OF (), O= OF ( ) O OF (S ) 6
Q OX O+ OF= OF+ OF O+ OF= O 4 F= =80-0 =60 F=_60 =0 O+ OF=;4!; =80-0 =60 O+ OF=6(cm ) =4_6=64(cm ) 64 cm 5 F, =F, F, =F P Q F F F. P+ Q =;4!; F+;4!; F =;4!;_;!; +;4!;_;!; =;4!; =;4!;_08=7(cm ) 6 P P a b a a b b M N a Q a b b R a b PQR=a+b, =8(a+b).. n 60 n = P, P. F=;!;_60 =0 F x=0 +0 =50 4 '= ( ), = () F= F=45 F x=80 -_45 =90 90 60 4 F= F= =7 ( ) 5 =_7 =44 =;!;_(80-44 )=8 x= =8 44 Q x P =Q (x+4)=5x x=6 WORK OOK =8 PQR 7 P+ P=;!; =_(+)=88(cm ) 8 P+ P= P+ P 9+ P=8+6P=5(cm ) 5 cm 9 =( P+ P) =_(49+)=0(cm ) 0 =0 =(cm) P P+ P = P+ P =;!;. 45 P x P =Q 4x=6(x-) x=9 9 46 47 O O = O x=_59 =8 =90 y=80 -(59 +90 )= x- y=8 - =87 cm 40 I= I= I I = =0(cm) FI= I= I= IF F = I =(cm) = = = =0+=(cm) F = +F =+=6(cm) 6cm. 48 F F= F F= F F = F F= =90 F=;!;_90 =0 F 6
WORK OOK Q OX 49 SSS 50 5 5 = 4x=x+5 x=5 = 4y+8=4_5=0 y= = = O O+ O=90 a+b=90 a+b+y=9 9 5 =;!;_(80-0 )=5 x= PH=90-5 =65 65 54 HH H =H, H H= H H H H (SS ) = = =60 =80-60 =0 55 SS 56 =. O=90,., 57 O= O=0 O O=80 -(60 +0 )=90 a=a-4 a=4 =_4=8 4_8= 58 59 P P=90-60 =0 P. = =. = =60 = =60 (). P=;!;_(80-0 )=75 P=90-75 =5 60 =80 -_65 =50 =90 +50 =40 =;!;_(80-40 )=0 0 6 6, 6 = =90 = 64, 65 =,, = (SS ) = =80 -(50 +70 )=60 60 66 (SS ) = O x=;!;_(80-90 )=45 67 ( SS ) = O =O OO =, O= O, O =O O O (SS ), 68 5`cm 6`cm 0æ 60æ 60æ 60æ 6`cm 5`cm = =6(cm) = =5(cm) =6+5=(cm) 69 64
Q OX = = = =60 60 75 76. 70 = x+5=x x=5 =5 =4_5-=9 F F (RH ) F =F =;!;_(9-5)=7 = - =9-7= 7 F (S ) = =. 7 + =80,,, =, F= =90, F= = F=90, =F, =90 - =90 - = F 77 = =90 = 78 79,, a=, b= a+b=+=5 5 80 F G GF GF GH 8 = =90.. WORK OOK + =;!;( + )=90 HF= =90 FG= FGH= GH=90 FGH. 7 H F GF HG (SS ) H =F =FG =GH =7(cm) yy H+ F= H+ H=90 HF=80 -( H+ F) =80-90 =90 yy FGH.,. =F, = =90, H = -H = - = 8,, FGH H =FG, G =FH, FG= HGF. 8 = = + = + =4+=45(cm ) 84 = + = + = =4 ;!;_( +6)_4=4 =6 6 FGH=7_7=49(cm ) 49 cm 85 = =;!; =;!;_40=0 74 =,. =. O, = O =O =O =O = O= - O=0-8= 86 = F = F F= F 65
WORK OOK Q OX 87 = F = F F= F = F=0(cm ) 88 = F= F F= - F F= - F F=;!; - F F=;!;_50-5=0(cm ) 0 cm O =O OP=;!; P=;!;_0=5(cm ) OQ=;5#; OP=;5#;_5=(cm ) 95 = = O= - O = - O = O 89 PP= P=;4#; =;4#;_60=45(cm ) QQP=4 5 QP=;9%; P=;9%;_45=5(cm ) 90 = = M M= =_6=8(cm ) M= M = M=_8=6(cm ) 6 cm. OO= O=k O= O OO= O=9k 96 O= O=6(cm ) OO=6 7=4 O O =4 O=;$; O=;$;_6=48(cm ) 48 cm 97 O=k O=k, O=k, O=9k =k+k+k+9k =6k=64 k=4 O=_4= 9 = =;5@; =;5@;_80=(cm ) = =;4#; =;4#;_=4(cm ) FF=5 F=;6!; =;6!;_4=4(cm ),. 98 F=90 - =58 F= F=58 () x= F ( ) x+58 =80 x=;!;_(80-58 )=6 99 F= F=40 () = F ( ) 9 PQ=;7#; Q=;7#;_;!; PQ=; 4;_56=(cm ) 9 = P=_0=0 = =_0=60 60 94 =;!; =;!;_60=0(cm ) P=;!; =;!;_0=0(cm ) Q= =;!; 4. =;!; F=;!;_40 =0 x=80 -(0 +90 )=70 70 00 PQ =, P= Q=45, P=90 - Q= Q P Q (S ) PQ= =;4!; ( ) = + FGH- =6+6-9=6(cm ) 6 cm 66
Q OX 0 H P, HG P H `cm Q PHQH Q F G H =H, HP= HQ=45, HP=90 - PH= HQ PH QH (S ) PQH= H=;4!; ( ) = FGH+ - H =44+44-_6 06 P = P=;@; P P P=;@;_08 P=7(cm ) P P =5 6 P=;6%; P=;6%;_7=60(cm ) = P=;!; P=;!;_60=0(cm ) =6(cm ) 0. FGH 4_5=0(cm) 0 cm 0 FGH PQRS.. 07 P =5 P=;*; P P P=;*;_9 P=4(cm ) P P =9 5 =;; 9 ;; P=;; 9 ;;_4=;; ;!; ;;(cm ) WORK OOK HS =HR HRS= HSR=4 x=90-4 =56 = =;#; =;#;_;; ;!; ;;=56(cm ) 56 cm 04 O 6_4p=44p(cm ) r cm O F. 08 =, = =45, (SS ) = = F=5 =90-5 =55 p_r =44p r= 05 OF=60 _;8@; H OF=90 0`cm O G O =OF F OF=;!;_(80-90 ) OF=45 O=60 _;8!;=45 = OF G F GF= OF=;!;_0_0=50(cm ) Q = + Q = P+ Q =90-45 =45 OF O =OF =;!; G =0(cm). 09 P = 45æ P =, P =, Q 65æ P= =90 P P (SS ) P = PQQ P =, Q PQ= Q=45 PQ Q (SS ) Q= QP=80 -(45 +65 ) =70 70 67
WORK OOK Q OX 0 ª FGH GH, KOPL,,, 4 = '=5 = '=90-5 =65 '' =6 9 ()= '', 5 8= =6(cm) 5= =0(cm) 6+8+0+6=60(cm) 60 cm 6 = 6 4= :6 =9(cm) F = -F =9-4=5(cm) 7 FG =4 8= x 0= x=5 y= y=6 y-x= 8 F JN =0 =5 F MN =5 0 MN =5 MN =6(cm).. ª F,. F. r cm r 6= r= r 8 r= r=4 4p_4 =64p 9 '' = '' =6(cm) = = ª (SS ) = = ª (SS ) = = ª ( ) = ª ( ) 4 =55 =80 -(85 +55 )=40 = =85, = =40 ª F ( ) 5 F, = F () ª F ( ), = () ª ( ), 9 8 6= r cm 9 r= r= cm 0 (0+0) 0= 6 = ( ), = = ª (SS ) = 5 = =0(cm) 0cm 68
Q OX 7 =, 4 F F= =90, = = F=90 - F=90 - = ª (SS ) Fª ( ) = =F 6= =9(cm) 6 =(F +) 6 F =9(cm) 8, = = ª (SS ) = 0 = =5(cm) 5 cm 9 ª ( ) = 8 = 4 =(cm) = - =-=9(cm) 0 ª ( ) = 6 9= (0- ) = =0(cm), = =, = 9 cm 5 =H _ 0 =6_(6+H ) H =;; ;;(cm) H =H _H =;; ;;_6=64 H =8(cm) ( H >0) 6 = _ 5 =9_(9+ ) =6(cm) = _ 6 = _0 =;; 5 ;;(cm) = - =0-;; 5 ;;=;; 5 ;;(cm) WORK OOK =4(cm) ;; 5 ;; cm F, = F ª F ( ) = F 4=6 (+x) x=5 F 7 x-4y+4=0 x=0 y=6 O =6 O O =H _ 6=H _0 H =: 5 : : 5 : = F ( ), = F ª F ( ) F = F 5=y 6 y=;; 5 ;; x=5, y=;; 5 ;;. 8 F =, = F=90 ª F ( ) = F 5=8 0 =(cm) ª Fª Fª ( ) _(+5)=54(cm) = =90, =90 - = ª ( ) 9 =, = ª ( ) = = 9 = 9 =;; 4 ;;(cm) 9=6 =;(;(cm) = - =-;; 4 ;;=;; 4 ;;(cm) ;(; cm 69
WORK OOK Q OX 40 FF F= F (), F= F () Fª F ( ) =F F 4=F (0-F ) F =5 4 OP = PO=90, PO ª OP ( ) O = P : :=5 P P =: 8 : 4 '' = =90, '=90 - '= ' 'ª ' ( ) ' ' =' 5 0=' 8 ' =4(cm) 4 F = =60, =0 - = F ª F ( ) F = F 4 5= 7 =: 5 : (cm) = =: 5 : (cm) 44 = (), = ( ) 5 = =. F =F =5(cm) F F= =90, F= ( ) Fª ( ) F =F F 6=5 8 F =: 4 : (cm) = - =-8=4. ' = = - =8-=5(cm) ' = =0(cm) F = -F = -F =-7 =5(cm). 45 F= + = F+ = F= F+ F = + F = ª F ( ) = F 5 5=8 F F =6(cm) 46 F= + = + F = F= + = + = ª F ( ) = F = 4 =9(cm) = =9(cm) 9 cm 47 = =90, =, (RH ) = =4(cm) = =90, ª ( ) = 4=(5+4) =(cm) =;!;_9_=54(cm ) 48 F = F, = F=90, F (S ) F = =0(cm), F =-0=(cm) MF M F =M = Mª F (SS ) M F = : 4 : cm M = M =;#;(cm) 70
Q OX 49 M M =M =M =0(cm) M =M - =0-4=6(cm) M M =M _M 6=(0- )_0 =: 5 :(cm). 5 Q =P = (+4)= Q Q =P P, Q =PQ PQ =P PQ 9= PQ =(cm) 50 = _ =6_9=44 =(cm)( >0) 5 = =(9- ) =(cm) cm M M =M =M =;!; =: :(cm) 5 8 x=0 5 x= 4 y=0 (0+5) y=5 M =M - =: :-9=;&; (cm) M ;!;_: :_ =;!;_;&;_ =;*5$; (cm) ;*5$; cm M =;!;_M _ =;!;_M _ y-x= 54 x 8=0 4 x=0 5 y=0 4 y=6 x-y=4 WORK OOK 55 = 6= (+9) =4(cm) 4 cm 56 F F = = = (+)= 4 F =;5$;_5=(cm) 57 F G =F G = 9 =x (x+4) x= 58 =G F =G F 5 (5+)=x y, 5y=8x y=;5*;x y=;5*;x 59 =F G =F G 9 (9+)=x 4 x=6 = 9 = y y=6 x+y= 7
WORK OOK Q OX 60 = 4 (+G )= 6 G =6 FG G =FG 6 (6+)=FG 6 FG =;(; 69 = 6 =8 6 =(cm) = 6 4= (- ) =: 5 :(cm) 6 FH F =FH (5+6) (5+6+4)=FH 9 FH =;; 5 ;; H G F F =FG FH 6 (6+5)=FG ;; 5 ;; FG =: 5 : : 5 : 6 4 +(6-) 6 = (8-) 8= 4 =;; 4 ;; 64 = = 65 = 6 (6+8)=x x=9 9 66 = =6 9= F F F = = F (0-F )= F =(cm) 67 8=5 4 =0 0 68 = 6=4 =8(cm) = (8- ) = 4 =: 7 :(cm) = = =. = = =8(cm) 70 = 4=(5+0) 0 =6(cm) 6 cm 7 = =(5+5) 5 =0(cm) 7 = 5 =(6+ ) =4(cm) 6 = =;5!; 6+4 =5 =5 4 =5 =;5!; 7 = =8 4=4 7 =4 7 0=4 7 =5(cm ) 74 = 6 4=(4+ ) =8(cm) = =4 8= 75 = =5 0= = =;5@; =;5@;_{;!;_0_5} =0(cm ) 76 77 F =;!; =;!;_=6(cm) GF =F -G =6-4=(cm) 78 G =;!; =;!;_8=4(cm) GF =;!; =;!;_8=4(cm) G +GF =4+4=8(cm) 8 cm 7
Q OX 79 =, =, = =_6=(cm) =, F F =F F =;!; =;!;_=6(cm) P =PM =PQ +QM QPª QFM ( ) PQ MQ =P FM = P PQ QM =5 5 80 M =M, MN MÚN =;!; =;!;_0=0(cm) MÚP = MN -PN =0-=7(cm) 6 cm F =F, FG= F (), FG= F ( ) 85 GF F (S ) G = =(cm) =, G =G =_=6(cm) 6 cm M =M, MP =MP =_7=4(cm) 8 M =M, M MÚ = =_9=8(cm) M =MÚ =MÚ =M =_8=6(cm) 8 =, F =F. MN =N, FMN= N (), MNF= N ( ) 86 M MF MFN N M F N (S ) 5`cm FN =N =5(cm) M =M, MF F =F =0(cm) =F =_0=0(cm) WORK OOK F, F =;!; =;!;_8=4(cm) G =, G G = =_8=6(cm) FG =G -F =6-4=(cm) 8 G G G 6`cm F G =G, = F =F, FG= F (), FG= F ( ) 87 G FG F G F (S ) =G =, G =G = = G, =G G =G, F G G =F =G =4F F +6=4F F =(cm) cm 84 M =M, F =F MF, =MF FM =F, P MF P =PM, P =;!; MF P MF =( -P ) MF P MF =;#;MF MF =,, 88 FG H 89 PS =QR =;!;, PQ =SR =;!; = PQRS Q ( PQRS)=4PS ( PQRS)=4_;!; ( PQRS)= =_ ( PQRS)=4(cm) 4 cm P `cm S R 7
WORK OOK Q OX 90 F =HG =;!;, H H =FG =;!; G = FGH F F =;4!;_60=5(cm) =F =_5=0(cm) 0 cm 9 M =;!; =;!;_8=4(cm) MF =M =_4=8(cm) =MF =_8=6(cm 6 cm 9 N = =6(cm) M =0-6=4(cm) F F =M =_4=8(cm F = =6(cm) =F +F =8+6=4(cm) 9 ;!;_(0+4)_HF =96 0`cm H HF =8(cm) G G =;!;_(0+4) G =(cm) F 4`cm FGH FGH=;!;_8_=48(cm ) 48 cm 94 6 =x 5 x=0 5 5= y y=9 x+y=9 95 x 7=0 0 x=8 0 0=7 y y=9 0 0=z 8 z=6 x=8, y=9, z=6 96 7 H H =G G =;#; G H 7 F GF GF = =7 F =G +GF =;#;+7=;; ;; : : =G H N F,, G G =;!;( + ) ( ) =;!;_( ) =G H. 97 H H 7`cm (+)=8 H G 8`cm 7`cm F H =(cm) H H H = =7(cm) =H +H =+7=9(cm) 98 9`cm k 9 x=6 4 x`cm x=6 5`cm 9 (9+6)=(y-8) 5 y=7 y-x= 99 =P =x 0 x=;; º;; F =PF =y 4 y=;*; x+y=6 6 400 y l =5 (5+0) 6 5 x m = 5 0 x 0= 5 x=8 0 n =0 (5+0)= 5 6 y= 5 y=5 x-y= 40 P =P P 4= P =;$;(cm) Q =Q Q 9= Q =6(cm) P Q =;$; 6= 9 l 8`cm 6`cm y`cm m 4`cm n 8`cm k 9 74
Q OX 40 F F = 8= (0-F ) F = F =8(cm) F = 5 F F = = 407 4= N 4 N =8(cm) F 8= 5 F =: 5 :(cm) F +F =: 5 :+8=: 5 :(cm) 4= M 6 M =4(cm) MÚN =N - M =8-4=4(cm) 40 =P =4 6= ( +4)= =8(cm) 408 6 5=PO 5 PO =6(cm) 9 5=6 =0(cm) 0 cm =P 4 =4 =(cm) 404 ª ( ) =6 8= 4 F = 7 F 8= 7 F =: 7 : (cm) : 7 : cm. = (), = () 409 F =F F = = = 0 x= x=: º: 40 F =F F =6 = : º: WORK OOK 405 H `cm ª ( ) H 0`cm = 8= = 5 H 8= 5 H =: 5 : (cm) 8`cm = = (6+) = =;*; (cm) ;*; cm 4 I = 6 = 5 =0(cm) =;!;_0_: 5 :=7(cm ) = 6 8= (0- ) =: 7º:(cm) 406 O O =O O = =5 0= =O 0 O =: º:(cm) =OF 5 OF =: º:(cm) F =O +OF =: º:+: º:=: º:(cm) = 4 I 8=(5- ) =6(cm) I I= I () `cm 5`cm I 8`cm I= II 75
WORK OOK Q OX I = I 8=(6- ) 6=(6-I ) 6 I =: 7 :(cm) 4 = 8 6=4 =(cm) = 8 6= ( -7) =8(cm) 44 = 9 6=( +0) 0 =5(cm) = 9 6=(5- ) =(cm) 45 p =(x-8) x=6 46, IJ, K, L 8`cm k l 8`cm m {x-8}`cm n `cm 8`cm p 6`cm G 5`cm I 9`cm K L F H J L I =IK L 4=9 L L =(cm) L L = =6(cm) =L +L =+6=8(cm) 8 cm 47 ª ( ) = 5 9=9 =;; 5 ;; = 9={5-;; 5 ;;} ;; 5 ;; =6 48 = = 6= 4 ª F ( ) = F, = F=90 S H =H, PH S S =PH G, H F PQRS. PS =QR, PQ =SR. = = =, = F=90, = F ( ) F = = 4 (.5- )= 4 =.5 ª F ( ) = F 6= ( +.5) =0.5 = + =0.5+.5= 49 P =, Q P Q =QP R RS =S Q =QP =RS =S =PH Q =_4=8(cm) H =Q +QP +PH =8+8+4=0(cm) 0 cm 40 PS =x cm, PQ =y cm P =QR =R =x(cm) SG =;!; R =;!;x(cm) Q =RS =S =y(cm) PH =;!; S =;!;y(cm) G = cm, H =4 cm x+x+;!;x= x=: 5 : y+y+;!;y=4 y=: 5 : PQRS _{: 5 :+: 5 :}=6(cm) 4 = =_ =4 =4_4=6(cm ) 4 = =;!; =;!;_4=(cm ) P =PQ =Q P= PQ= Q PQ=;!; =;!;_=4(cm ) 4 PP= P= P=8(cm ) P= P P=_8=6(cm ) 6 cm 76
Q OX 44 = =_8=6(cm) x=6 G =G =_=6(cm) y=6 x-y=0 45 =G =_4= = =_=4 4 =. 4 GG' = GG'+ GG' =;6!; G+;6!; G =;!; G =;!;_;!; G G' 46 G =;!; M =;!; =;9!; =;9!;_8=(cm ) cm MG =M -G =;6!; 4 G=;!; G, =6MG =6_5=0(cm) 47 G GF = 0 x= x=5 Gª F ( ) G F =G F 6 F = F =9(cm) F =F y=9 x+y=4 G, G= F() G=;!; G G G+ G=;!; ( G+ G) G+ G=;!;_;@; G+ G=;!; G+ G=;!;_4=8(cm ) WORK OOK 48 MGG'M MG M =MG' M =, GMG' MGG'ª M (SS ) GG' = GG' = GG' =7(cm) 49 GFG FG= G () FG= G () GFª G ( ) G G =GF G = G =;!;G G =;!; =;!;_4=8(cm) G =;!; G =;!;_8=4(cm) 40 G=;!; 4 =;!;_6_4=(cm ) G=;!; =;!;_=4(cm ). Q M =M, MP Q MP =;!;Q. 8 cm 44 G= F= F G= F=_=6(cm ) =6 G=6_6=6(cm ) 45 G G = G= G=_6=(cm ) =+6=8(cm ) = =;!; =;!;_8=9(cm ) 46 P, Q, P =PO, Q =OQ O =O P =PQ =Q =6(cm) =_6=8(cm) F =;!; =;!;_8=9(cm) =8 cm, F =9 cm 47 P, Q, P =;@;_9=6, Q =;@;_=8 MP =;!;Q =4, M =;!; =7 PM P +PM +M =6+4+7=7 77
WORK OOK Q OX 48 Q =P M = OQ Q =OP P = PQ M =PQ M =P M = P =;@; O =;@;_;!; =;!; P P = 49 ª ( ) = (+)= 5 5 =9 5 8=9 5 =50(cm ) 440 ª ( ) =5 5 =5 9 =;!; 4=6(cm ) 6=5 9 =;%5$; (cm ) ;%5$; cm 44 4 = 4 9 6,,, (4-) (9-4) (6-9)= 5 7 5 7 44 Oª O ( ) =8 0= 5 5 =4 5 6O=4 5 O=00(cm ) 00 cm 44 Oª O ( ) =6 0= 5 OO= 5 =9 5 O 50=9 5 O=8(cm ) O O =0 6=5 OO=5 O 8=5 O=0(cm ) O= O=0(cm ) =8+0+50+0=8(cm ) m n m n = =90, m n m n m n O OO ( ) 444 00 40=5 7 5 7 =5 49 x cm 50 x=5 49 x=98 445 8 4 0= 4 5 4 5 =9 6 5 SL M (9+5) (_6)=4 S L 446 ;@;= =9 4 447, 48 08=4 9= 448 5 5 =9 5 x cm 7p x=9 5 x=00p 449 64 5=4 5 4 5 x 0=4 5 x=4 6 y=4 5 y=0 x+y=44 450 O O FGH 5 5 =5 8 ( O ) 4=5 8 ( O )=75(cm ) 75-4=5(cm ) 5 cm 78
Q OX 45 FG 459 x m x 0.=.5 0. x= = 8 7 m (8-) (7-8)= 7 9 45, 8 7=, =4 9 45, 9 6= 4 4, 4 =7 64 x cm 54 x=7 64 x=8 454, 54 8=7 64= 4 4 4 m n m n m n m=00 cm km=000 m m =0000 cm km =000000 m 460 ª '' ( ).5 (.5+4)=.5 '' '' =.9(m).9 m 46 ª ( ) ( +)=6 8 =6(cm) 6_50000=00000(cm)=(km) km 0cm 0 cm 46 ()= = = 5 m 500 cm 50 _50=000(cm)=0(m) 0 m 46 G =4(cm) G =;!;_4=(cm) =, F =F F WORK OOK 455 S L =8 7 L x 00 x=8 7 x=0800 0800. Gª GFH ( ) G HG =G FG = HG = HG =6(cm) 464 GHª GF ( ) GH GF =G G = 456 4 4 =64 7 x cm 56 x=64 7 x=08 5 cm 5 cm 457 ()= = = 4 km 400000 cm 80000 8_80000=640000(cm)=6.4(km) 458 _8_00000=0800000(cm)=08(km) : 6º0 :=.8(), 48. () () = () () () = () 6. ()= () () HG =;!; GF G =GF H =G -HG =GF -;!; GF =;#; GF H HG GF =;#; GF ;!; GF GF H HG GF= 465 GFª GH ( ) G G = =4 GF 5=4 GF=0(cm ) =6 GF=6_0=0(cm ) 0 cm 79