Áß2±âÇØ(01~56)

PRT 0 heck x=7y=0 x=0y=90 9 RH RHS 8 O =8 cmp =6 cm 6 70 7 8 0 0 0 SS 90 0 0 0 06 07 08 09 0 cm 6 7 8 9 0 S 6 7 8 9 0 8cm 6 9cm 7 8 9 cm 0 cm x=0 y=00 0 6 7 9 8 9 0 0 cm 6 7 8 9 60 6 6 6 6 6 6 7 8 7 0 06 07 08 0 = = _(80-6 )=7 = = _(80-0 )=70 =80 -(7 +70 )=8 = =6 cm x=6 = = =90 =80 -(90 + )= y= x+y=6+=6 = = (SS ) = == = P P P = P P= P P P (SS ) P= P P= P P= P = = = _(80-6 )=7 = _7 =6 = = = + =6 +6 =7 = = = = =8 cm 0 0 SS = = = = = = = =80 -(90 +0 )=60 = = =60 =80 -(60 +60 )=60 7cm =90-60 =0 = =7 cm = + =7+7= (cm) 0 = = = _(80 - )=6 = a = = a = a+ a= a = = = a =80 -_6 = = a+ a= a x= - =6 - = a=0 a=0 =0

= =8 0 =8 +8 =76 = = = = x x= _(80-76 )= = _ =7 = =6 = x= =7 GF= F = _(80-6 )=7 yy GF= F GF= GF GF =G = cm = a = = a = a+ a= a yy GF= =0 (cm ) a=7 a=6 =6 (RHS (RH = (S ) = _(80 - )=6 RHS SS S RH = _(80-6 )=8 =6 +8 = = PP P= P=90 P =P P= P P P (RH ) = _(80 - )=9 P= P=90 - = 6 7 8 9 = = = _(80-8 )=8 = _8 = = _(80-8 )=66 =80 -( +8 +66 )= = a = = = a = a+ a= a = = = a = = = a a+ a+ a=80 a=80 a=6 =6 = = a F= F= b =80 - a =80 - b + =90 (80 - a)+(80 - b)=90 a+ b= x=80 -( a+ b)=80 - = = = = = x=80 -_ =78 x 6 7 8 x= = =6 cm y=6 x+y=+6= = =90 = =90 - = (RH ) = =b = =a =a+b _(a+b)_(a+b)= (a+b) = =90 = =90 - = (RH ) = =8 cm = = - =0-8= (cm) = = _8_=8 (cm ) = _(8+)_0=00 (cm ) =00-_8=0 (cm ) = =90 = (RHS ) =

MG O O K S 9 9cm = =90 = p_9=8p (cm) 0 (RHS ) = =90 - = x=80 -_ =70 = =90 = (RHS ) = = cm = = _(80-90 )= =90 - = = = cm = =8 (cm ) POPO PO= PO=90 OP P =P PO PO (RHS ) =90 - = = = cm = = = = (cm) ( >0) = =90 = (RH ) = = cm = =90 = (RH ) = = =8 cm =0-8= (cm) + + = + + = + =6+=8 (cm) O = O O =O O =O O= O OF= OF=90 OF O =O OF OF (RHS ) O O =O O 0 cm O = _(0-)=9 (cm) 6 7 8 9 0 O = =8 cm = =7 cm =8-6-=8 (cm) F =F = _8=9 (cm) = _0= (cm) M M =M = M=90-6 = O O =O =O =90-0 =60 O O =O O=60 O=80 -(60 +60 )=60 O O =O = =6 cm = O = (cm) O O =O O= = _{ _6_8}= (cm ) O= =_8 =6 O O =O x= _(80-6 )= O O =O O= _(80-0 )= x+ + =90 x=0 O O 0 O =O =O y x O= O=0 O 0 O= O=0 x= O+ O=0 +0 =0 y= x=_0 =00 O : O : O= : : O=60 _ =80 9 = O= _80 =0 0 O 6 cm

I I= I I= I I= I I= I 6 I I =IF IIF I= IF=90 I I= IF I= I I= I =I =I =I +I = + I IF (RH ) 7 8 9 0 =F IIF I= IF=90 I I= IF I IF (RH ) I I= I= I= I=6 x=80 -( +6 )=9 I I 0 I 0 + + I=90 I=7 I= I =_7 = I= I= I I=80 -(0 + )=7 I=90 + 7 =90 + = I I I= _70 = x+ + =90 x= I= I= a I= I= b a+ b+80 =80 x= a+80 y= b+80 a+ b=0 x+ y=( a+80 )+( b+80 ) =( a+ b)+60 =0 +60 =0 : : = :: =80 _ =60 9 I I=90 + _60 =0 x I 70 6 7 I I I cm 0 cm I I= I I= I I= I I= I I= I I= I =I =I + + = +(I +I )+ = +( + )+ =( + )+( + ) = + =+0= (cm) I I I I= I I= I 6cm I 8 cm I= I I= I I= I I= I =I =I =I +I = + =6+= (cm) _(+8)_=8 (cm ) 96= =8 cm r cm = _r_(++)= r=0 r= cm r cm = _r_(6+8+0)= _8_6 r= r= _8_6-p_ =-p (cm ) cm

MG O O K S 8 9 60 6 6 6 6 F = = cm =F =9-=6 (cm) = = cm = + =+6=0 (cm) =F =x cm = =(6-x) cm =F =(-x) cm + = (6-x)+(-x)=8x=0 x= = cm =F =IF =6 cm = =-6=8 (cm) F = =0-8= (cm) =F +F =+6=8 (cm) I 06 =90 + = O O= =_ =6 O O= =_0 =00 O O =O O= _(80-00 )=0 =80 -(0 +60 )=70 I I= _70 = OI= O- I=0 - = O O= =_ =88 O O =O O= _(80-88 )=6 I I=90 + _ = I I =I I= _(80 - )= OI= O- I =6 - = 0 0-00 0 0 0-0 6cm 0- cm 0 8 cm 0-0 6 0-06 06-9 07 cm 07- cm 08 6 08-7 09 cm 09- cm 0 = a = = a = a+ a= a = = a = a+ a= a = = a a+ a+9 =80 a=88 a= = 0- = a F F =F F= a F= a+ a= a F =F F= a = a+ a= a = = a 0 = a+ a= a 0 a=80 a=0 F F= F= a=_0 =0 F=80-0 _=00 8 0 = =70 = =70 =80 -_70 =0 0- = a = = a = = a 7 + a+ a=80 a=06 0 a= = = =90 = =90 - = (RH ) = = cm = =0 cm = - =0-=6 (cm)

0- + =( b+ )+( a+ ) = =90 = =( a+ b)+68 =90 - = =7 +68 = (RH ) = =7 cm = = cm 06- I= I= a I= I= b = - =7-= (cm) b+68 + a=80 0 = =90 = (RH ) = =6 cm = = _(80-90 )= =90 - = = = =6 cm = _6_6=8 (cm ) 0- = =90 = (RH ) = = cm = _0_=0 (cm ) 0 O O O =O =O O= O= O= O=6 = +6 =8 O= =_8 =6 O 6 07 a+ b=6 x= a+68 y= b+68 x+ y=( a+68 )+( b+68 ) =( a+ b)+6 =6 +6 =9 r cm = _r_(++)=r (cm ) =0 cm r=0 r= cm 07- r cm = _r_(+9+)=8r (cm ) 08 = 8r= r= 9= (cm ) cm O O= =_ =0 O O =O O= _(80-0 )=8 I I=90 + _ =6 I I= _(80-6 )= x= O- I=8 - =6 0- O O =O O= O= 06 O O=80 -_ =6 = O= _6 =8 I= I= a I= I= b + a+ b=80 = b+ = a+ 6 a+ b=7 08- O O =O O O= _(80-80 )=0 = O= _80 =0 I I=90 + _0 =0 I I= _(80-0 )= OI= O- I=0 - =

MG O O K S 09 O = _(80-6 )=6 O =O =0 cm F = =x cm F =F =F =(0-x) cm = =(-x) cm F= _(80-6 )=6 + = F=80 -(6 +6 )=6 (0-x)+(-x)=6x=6 x=8 OF =O -F =0-8= (cm) 09- O F F 7 O =O = cm =F =x cm = =(7-x) cm =F =(8-x) cm + = (7-x)+(8-x)=x=0 0 = = = (SS ) x= = = x 7 7 O =O - = -= (cm) x= _(80-0 )=7 x 0 0 6 0 7 0 8 0 cm 06 cm 07 8 cm 08 6 cm 6 cm 09 0 8 7 6 6cm 6 8 9 7 {9- p} cm 8 0 0 = = = _(80-88 )=6 = = _(80-6 )=67 = - =67-6 = = = = _(80-68 )=6 = 0 0 = = _(80 - )=68 = _(80-68 )=6 =68 +6 = = = _(80 - )=8 F= F F= F F= F F = = cm FG =F = -F =7-= (cm) F FG 7

06 = =90 = =90 - = 0 M M =M M M= M=6 M=6 +6 =7 (RH ) M M=90-7 =8 07 = =9 cm = =6 cm _(6+9)_(9+6)= (cm ) = =90 = (RHS ) = =9 cm = - =-9=6 (cm) + + =6+ + =6+=8 (cm) M M M O : O : O= :: O=60 _ =0 O = O= _0 =7 O 08 = cm _8_ = =6 cm = =90 = (RH ) I I= I= x = x I=90 + 6 =90 + x=6 _ x x x = =6 cm 09 O O =O O= _(80-8 )=66 O O =O O= _(80 - )=69 R= = _0= = _r_(6+8+0)=r (cm ) = _6_8= (cm ) r= r= R-r=-= =66 +69 = O R O r R-r 8

MG O O K S = =x cm F = =(0-x) cm I - I F = =(-x) cm 90 =_-p_ _ F +F = 60 (0-x)+(-x)=9 9 =9- p (cm ) x= x=6 =6 cm =x cmf F x x 8 O I O 9 O= =_7 =7 7 O I I O O =O 8 =90 + O= _(80-7 )= =6 =80 -(7 +9 )=8 O I O= =_6 = I= = _8 = O O =O OI= O- I O= _(80 - )= = - = O O O I OI 6 = = = _(80 - )=6 F = =F = F (SS ) F=80 -( + F) =80 -( + ) = =6 F =F F= _(80-6 )=8 0 0 0 0 0 06 07 08 09 0 9 (-9p) cm F F F 0 = = _(80-68 )=6 =80-6 = 7 r cm = _r_(+9+)=8r (cm ) = _9_= (cm ) 8r= r= 0 P = PP = P= PP P P (SS ) P =P 9

0 0 0 06 07 08 09 = = = = + =8 = = =8 = +8 =7 = = =7 x=80 -(7 +7 )=6 = =90 = (RHS ) = == = =90 = (RH ) = = cm = _0_= (cm ) O O =O O O= O=6 x=80 -(6 +6 )=08 O O O =O =O O= O= O= O=8 = O+ O= +8 =60 O= =_60 =0 I= I= a I= I= b a+ b+6 =80 a+ b=8 = a+6 = b+6 + =( a+6 )+( b+6 ) =( a+ b)+8 =8 +8 =86 R cm R= = _6= 0 0 cm O cm 6 cm 8 0 r cm = _r_(6+0+)=0r (cm ) = 0r=0 r= _0_=0 (cm ) p_ -p_ =p (cm ) I + + x=90 x=0 I= I= =_ =70 y=90 + =90 + _70 = y- x= -0 =9 r cm = _r_(++)=r (cm ) I= _r_=6r (cm ) r 6r x y y- x =I r cm I r I r cm =F = =F =r cm + =(F +F )+( + ) = +r+ +r =( + )+r =+r =+r r= = (+)= (cm ) -p_ =-9p (cm )

MG O O K S 0 heck x=7y=6 x=y= x=y=6 x=0y=90 x=9y=0z=90 x=y= 6 x=0y= 7 8 0 cm 6 7 06 O =O OO O =O O =O O= O OO(SS ) = 80 + =80 = =8 (cm) = = =60 = = _(80-60 )=60 8 6 =8 cm 0 0 0 0 0 06 8cm 07 0 cm 08 09 0 6 SSS 7 8 9 0 8 cm 0 6 60 7 8 9 0 SSS 0 cm O SSS 80 68 6 7 cm 8 8 9 0 6 7 7 8 9 0 6 cm 6 6 cm 7 8 0 cm 9 0 0 0 0 0 = =6 O O= O+ O=6 +0 = + =80 =80-0 =70 0 + x+70 =80 x=80 = x+=7 x= = y-=6 y= O =O 07 08 09 0 = =8 cm = 8+ =8 =0 cm = = = =9 cm F= F F= F F =F = cm x=y= F = = F = F F S F = =8 cm = =8 cm F = +F =8+8=6 (cm) : =: =80 _ =08 + = =08 = = x + x+6 =80 x=7 = =6 F= _6 =8

F=90-8 =6 =80-6 = F= -6 =6 O = = _0= O = = _=7 O =O +O + =7++9= 0 FO F =O F= O F= O FO S O =F = O = OF = = _8=9 = = = _= O + =9+= 6 7 8 9 POQO S OP =OQ P =Q PO= QO POQO S P =Q x+y=8 x+y=8x-y 6x-y=0 _- y=6 y= y= x= x+y=+= SSS O =O =F O =OF O =O F = F = = F F= F =F F = =F =F F =F = F F= F 6 7 = O=_=8 (cm ) P+ P= P+ P = 8+ P= _80=0 P=0-8= (cm ) O= = _=6 (cm ) F= F= =_=(cm ) F= =_= (cm ) = = = (cm ) F= F=_=8 (cm ) O =O x+=x- x= = =O +O =(x+)+(x-) =7x=7_=8 O= O=0 x= _(80-0 )=70 y=90-70 =0 x- y=70-0 =0 = = = = _90 =0 =90-0 =60 = F=8 F= F=_8 =6 x=90 - F= F=6

MG O O K S 8 = = = = = = = 9 =7 cm = =90 = =0 cm x=0 OO O= O=0 = =0 cm O = = _0= (cm) y= x+y=0+= = O =_{ } =0 (cm ) 7 8 9 0 =_8= (cm) = =8 O O=80 -(8 + )=90 = =7 cm x=7 = O+ O= O=_8 =76 y=76 x+y=7+76=8 = = O =_=8 (cm) x=8 O=90 y=90 = =_{ _6_}=8 (cm ) P = = = =P =P =76 =80-76 =0 P P=76-60 =6 P=0-60 = P P = P= _(80 - )=68 P =P = O =O O=90 = P= _(80-6 )=8 = =0 P=0-8 = P=68 P= = 90 = O= O O =O O =O O =O O =O =O =O = == = = = = =90 = + =90 O+ O=90 O=80-90 =90 6 7 O =O =O =O = = =70 + =80 70 + =80 =0 = =6 = = =6 (SS ) = =6 x=80 -(6 +6 +6 )=7

8 + =80 8 O : O= : Q+ Q=90 6 : O= : O= cm Q Q=80-90 =90 QRS= RSP= SPQ=90 PQRS O= O=6 cm = O+ O =+6=0 (cm ) 9 0 HFGFHG(SS ) H =F =FG =GH H+ F=90 FGH 90 FGH 9 = F= - F = - F = F = + F+ F= F+ F 6+ F= F=6 cm FGH HG =F =9 cmfg =H = cm FGH =F +FG +GH +H =9++9+ =6 (cm) FGH FGH = FG =_9=6 (cm) = + = + =6+=0 (cm ) = _7_8=8 (cm ) = - =6-8=8 (cm ) = =8 cm = _ _8=8 =7 cm 7 9 0 7 0-0 6cm 0-8 cm 0 0-0 0-8 cm 0 8 0-60 06 06-0 07 07-0 08 08-09 0 cm 09-8 cm 0 = _ =7 = _ =8 = =7 =80 -(80 +7 )=7 0- = =68 = =0 + =80 (0 +8 )+( x+68 )=80 x= 6 7 = =8 (cm ) O= - O=8-=6 (cm ) = = = = _60=0 (cm ) : =: : = : =0_ =(cm ) + 0 = = = =8 cm F= F F =F F = =8 cm = +F -F 0=8+8-F F =6 cm 0- = =60 F= F=60

MG O O K S 0 =F = =F = cm =F =9-=6 (cm) F + +F +F =+6++6=8 (cm) + =80 + =80 = =60 -( + + ) =60 -(80 + ) =80 - = 0- O= O 0 0 P+ P= 8+ P= _8 P=-8=6 (cm ) 0- P+ P= + P= _60 P=0-=8 (cm ) =6 =80-6 =6 PQ P= Q=90 = P= Q PQ(RH ) P =Q Q= P=90-6 =6 QP= _(80-6 )=8 0- + =80 =80-0 =60 PH= = _60 =0 PH PH=80 -(0 +90 )=60 P= PH=60 06 x++x= x= 06- = = = - = - = 07 = =60 =80 - =80-60 =0 =60 =90-60 =0 = _(80-0 )=7 = - =90-7 = 07- = = = (SS ) = =6 =80 -( +6 )=70 = - =90-70 =0 08 = = = 08- =90 = = O =O 09 x+ 0 x 60 60 =x+ = =x P= PQ= _0= (cm ) = P= _=0 (cm ) 09- O : O= : O= = _= (cm ) 7 7 O : O= : O= O= cm : O= : O=6 cm = O+ O=6+=8 (cm )

0 7 cm 0 8 cm 0 x=7 y=68 0 8 0 6 06 98 cm 07 08 6 cm 09 0 cm 0 cm cm 0 cm 90 cm 0 0 0 0 = = + =80 x+ +6 + y=80 x+ y=7 O = = _0= (cm) O = = _8= (cm) O O + +O =++= (cm) F F = F = F = F(S ) F = =9 cm F = +F =9+9=8 (cm) 6 0 = =7 x=7 = =8 7 + y+8 =80 y=68 O =O x-=x+ x= x+ y O F F F x y = =(x-)+(x+) =7x=7_=8 x 0 06 07 08 09 = =8 = =8 +0 =68 x=80 -(68 +8 )=6 x O =O = = _=7 (cm) = = cm = _ _O = 7=9 (cm ) = =98 (cm ) HFGFHG(SS ) H =F =GF =HG H+ HG=90 FGH 90 FGH FGH FGH FGH = = + = + = =6(cm ) = = = = = (SS ) = =0(cm ) G G (S ) G (S ) G F

MG O O K S 0 = G+ G = =0 (cm ) F= - F =0-6= (cm ) F = N = M = _0=0 (cm ) MN= M+ N- NM M= = _0=0 (cm ) N= = _0=0 (cm ) MN= M= _ = 0= (cm ) MN=0+0-= (cm ) M N MN MN F H 6 cm F H 6=_H H = cm F= F F F = =8 cm F = cm F F _H =_= (cm ) F H F F 0 0 0 0 0 06 07 08 0 09 0 70 cm cm cm F = F = = =90 F(SS ) G= GF FG G+ GF= GF+ GF=90 G= GF =80 -( GF+ GF) =80-90 =90 F G+ GF G F= = = F =80 - F =80 - F= F 0 0 0 0 0 = = O x= +6 =88 (a) =-a =0-(-)= = -a= a=- (-) = =8 cm x=8 + =80 =80-6 = y= =80 -(8 +90 )= F= F F= F 7

06 F= F= = _(80 - )=69 : =: = = _8= (cm ) : =: 07 F F = F= F(S ) = = = _= (cm ) 08 cm 6cm y = = =60 60 x cm = =6 cm =6+=0 (cm) x=0 = = =60 ( +60 )=60 +60 =80 =0 y=0 x+y=0+0=0 0 heck 09 0 = + = + = =0 (cm ) : =: : = : = = _0=8 (cm ) = =8 (cm ) NM MN PN MQ PM NQ NM MPN=90 MPNQ 8 O =O = = _0= (cm) = =_{ } =70 (cm ) O PN MQ PM NQ MPN=90 MPNQ 0 0 0 F 80 : 6 : x=0y= ''H'' ª F ª FSS 6 6 8 0 0 FG GH 0 0 : 0 cm7 06 07 08 : 09 0 8 cm6 cm 8p`cm ª OMN Fª JKL 6 7 8`cm 8 9 6`cm 0 7 6 cm F :F =9:=: '''' : '' =6:0=: : '' =: 9 : '' =: '' = '' = cm = '=60 -(80 + +90 )=7 6 9

MG O O K S 06 F= =6 : F=: '' SS 07 = = = =80 -(0 + )=0 F :F =6 : 8= : :F =: :=: OMN :OM =0:=: :ON =:6=: = = cm = O=60 08 :8=: ª OMN (SS ) FJKL = J=70 F= K=80 -(70 +7 )= Fª JKL ( ) 09 0 FG : F'G' =0:=: '''' : GH : G'H' =: GH :=: GH = GH =8 cm 'F' ='H' H : 'H' =: 8 : 'H' =: 'H' = 'H' = cm 'F' = cm : '' =6:9=: : '' =: 8:x=: x= x= : '' =: 0 : y=: y=0 y= : '' =: z :=: z= z= x+y+z=++= :FG =6 : = : :HG =: 8 :HG =: HG = HG =6 cm _(6+8)=8 (cm) FGH _(+6)=6 (cm) = :9=: h cm :8=:hh= p_8 _6=8p (cm ) h=6 cm 6 7 8 9 0 =70 =0 =80 -(0 +70 )=60 = =0 = F=60 ª F ( ) OO O :O =O :O =: O= O Oª O (SS ) : =: : =: : =:6=: : =6:9=: =8 cm ª (SS ) : =: x:=:x= x=8 : =:9=: : =6 : = : ª (SS ) : =: 8: =: = =6 cm = ª ( ) =x cm : =0 : 0= : : =(0+x) : 8=: 0+x=6 x=6 =6 cm 9

= ª ( ) : =0 : = : : =8 : = : =8 =9 cm : = :8=: =6 cm = - =6-9=7 (cm) = =90 ª ( ) F = F=90 ª F ( ) F = F = F=90 ª F ( ) FF F= F=90 F Fª F ( ) 6 0 0 0-0 0 cm 0- p cm 0 6cm 0-8cm 0 cm 0- cm 8 0 7 0-0 06 06- cm 0 = _ =_6=6 =8 cm = = = =0 (cm) = - =0-=6 (cm) =90 _ = _F 8_6=0_F F = (cm) =0 =7 =80 -( +0 )=7 = =7 = =0 ª F ( ) = _ 6= =6 cm = - =6-= (cm) 0- =70 = =80 -(70 + )=6 = F=6 = = ª F ( ) H = H=90 ª H ( ) = _ _ = _ _H _ =H _ 0 r cm : =8 : r r=0 0 cm 0- r cm 8:r=:8 r= p_=p (cm) _ = _ 0_=_ = cm = _ 00=x_ x=6 y=-6=9 x-y=6-9=7 0 0 = =90 ª ( ) : =0 : 0= : : =: :8=: =6 cm = - =6-0=6 (cm)

MG O O K S 0-06- = =7 cm = =90 =90 - = =7+= (cm) ª ( ) cm : =6:=: =-8= (cm) 0 : =: :6=: =6 =8 cm F F=F= Fª ( ) F : =:=: =x cm =(6-x) cm : =6-x : x= : (6-x)=x x= cm =60 + =0 F=60 =80 + F=0 = F = =60 ª F ( ) : = :F : =7 : F 8 F = cm F =F = 8 cm 0- O = O=90 ª O ( ) :O =8: 0 :O =8: 6:O =8: O = cm =H _ 900=8_(8+x)8+x=0 x= =H _ y =_0=600 y=0 ( y>0) x+y=+0=7 0- = _ =9_ = cm = _ =-9=6(cm) x =6_=00 x=0 ( x>0) 0 ª SS 0 8 cm 0 p cm 0 9:7 0 cm 06 9 07 8cm 08 0 cm 09 6cm 0 6 cm cm cm cm 0 : =8 : = : : =:8=: ª (SS ) : : 06 '' = =90 '+ '=90 '+ '=90 '= ' 'ª ' ( ) ' : = : ' 6:8=8: ' ' = cm 0 :FG =: :FG =: FG = cm FGH _(+9)=8 (cm) FG FGH

0 OO' : O' r cm 9:r=: r= O' p_=p (cm) ª F O' O' 08 =H _ =8_ =8 cm H = -H =8-8=0 (cm) 0 6:8=9:7 9:7 =H _ H 0 ª : =0 : = : : =:9=: ª (SS ) : =: :9=: = cm 09 FF F= F F= F Fª F ( ) : =0:6=: : =: =9 cm = - =-9=6 (cm) Fª F ª 0 F = F ª F ( ) =F =x cm 06 = ª ( ) : =:6=: : =: 6 : (+x)= : +x= x=9 ª : = :F 8 : (8-x)= : x 8x=6-x 0x=6 x= 6 6 cm ª F x 07 F = F=90 = ª F ( ) : = :F 6 : 0= :0 =8 cm M =M =M = cm M = -M =6-= (cm) M M =MH _M =MH _ MH = cm H =M -MH =-= (cm) M MH H

MG O O K S P=P= P P =P 0 =80 -(7 + )=0 F = =7 = =0 Q =Q = cm ª F ( ) PQ QP= =90 PQª ( ) Q : =QP : : 8=QP :6 PQ = cm Q PQª PQ 0 0 0 0 0 06 07 08 09 0 0 cm ª SS 6cm x=6y= 0 0 0 0 0 0 7 0 0 80 80 :HG =: H=60 -(0 +60 +7 )=9 :FG =: 6 :FG =: FG = cm :HG =: 9 :6=: = cm FGH : : '' =6:8=: 9:x=: x= y:6=: y=8 y= x+y=+= 0 06 07 08 09 0 F :F = :F = : c:d=a:e=b:f 80 -( +60 )=7 : =:=: : =:=: ª (SS ) : =: :7=: = cm == ª ( ) : =:=: x:=: x= 9:y=: y= x+y=+= = =90 =90 - = ª ( ) : =6:8=: : =: :6=: = cm _ =H _ 8 6_=H _0 H = cm F = =60 =0 - = F ª F ( ) : =8:0=: :F =: :F =: F = cm F = -F =- = (cm)

r cm :0=: 9:r=: r= 0 cm r : =8:=: : =6:8=: ª (SS ) : =: : =: =6 cm 9 69 0 6 0 0 0 0 x=8y=0 06 07 08 09 0 0 F F 6 7 9 8 9 7 0 cm cm 6 7 8 9 0 cm 0 x=6y=0 7 cm N SS : 6cm 6 7 8 7cm 9 0 cm cm 7 cm 6 9cm 7 8 x=6y= 9 cm 0 x=8y=6 6 7 8 cm 9 60 6 80 cm 6 0p cm 6 6 0000 6 66 67 68 69 70 = _ =9_ = cm x=-9=6 = _ y =6_9= y= ( y>0) 0 0 6:x=9:6 9x=6 x= 6 : (6+)=y : 0 0y=0 y= x+y=+=6 6 : 0=9 : (x-9) 6(x-9)=906x= x= x y 0 F : (+)= : =0 =6 cm = - =-6=9 (cm) 0 heck 9 7 0 9 8 6 60 cm 7 x=9y= 8 9 9 0 8 cm 8 cm : : : : : :8 00000 6 8 0 0 06 6 : 8=9 : x 6x=7 x= (x+6) : 6= : 8 8x+8=98x=6 x=8 8 : =y : y=0 y=0 : = : =6:=: F F :F = : = : x : (6-x)=: x=6-xx=6 x=

MG O O K S 07 8:6+6 : 6:+8 : : = : 08 :+9 :6 6:=: 6 =8 :6= : (+) = cm :6+ : : = : 6 : =(7+x) : x : 6= :. 8+x=6xx=8 = x= 09 : = : = ª ( ) : = : = : =7: : =7: 7 = =6 cm 6 7 x:=8:0 0x=0 x= 8 : (8+)=0 : x 8x=0 x= 8:=y: y= y=6 x-y=-6=9 0 : = : 8 : 0=x : (9-x) 7-8x=0x8x=7 x= 8 8 : =(+9) : y 8y= y= :x=:9 x=8 x=6 x+y=6+=9 0:8=x: x= = = = = y=8 9 k :=x:8 x= x= : (+)=(y-) : 9 8y-=7 8y= y= 8 8y-x=8_ -_ =7 8 x y- 9 8 l m n k = =90 (cm ) = : = : = : = : : = : =: 0 MP : (+)=y : 0y=0 y= NP : (+)= : xx= x= = _90=0 (cm ) 9 : = : : x=(8+0) : 0 8x=80 x=0 F GH GF =H =7 cmh = cm : (+6)=G :0 G =0 G = cm F =G +GF =+7=9 (cm) cm 6cm 7cm G F H cm

k l 8 9 6 8:x=6:9 m 6 H x 9 6x=7 x= y- n ª ( ) y 8 : (8+)=6 : (y-) k : =6:=: 8y-=08y= y=9 H H : = : (+) x+y=+9= H = H = cm 6 7 N : (+)=N :0 6 N =0 N = cm M : (+)=M :6 6 M =6 M = cm MN =N -M =-= (cm) Oª O ( ) O :O =0 : = : O : (+)=O : O =0 O =6 cm FO : (+)=OF :0 OF =0 OF =6 cm F =O +OF =(cm) = : =: P : (+)=P :9 P =9 P = cm Q =P +PQ =0 (cm) Q Q : (+)=0 : =0 = cm ª ( ) : =:8=: : =: F : =a :(a+b) F = ab a+b 0 = =0 (cm ) N =N M =M MN MN=90 MN=80 -(90 +7 )=6 x=6 = MN =_=0(cm) y=0 = = F =F F = = _=7 (cm) = = _=6 (cm) F = = _8= (cm) F F + +F =7+6+=7 (cm) F = _ = _(8++)=7 (cm) = = = = _0=0 (cm) x=0 = =_9=8 (cm) y=8 x+y=0+8=8 = = =_6= (cm) F F = =6 cm F = -F =-6=6 (cm) H cm 6 cm cm 8 F F : =9:=: F :=9:x x= 6 G =x cm G F = G = x (cm) F F = G =x + x=x x= x=

MG O O K S 6 = N P =P Q =Q R =R S =S = N =x (cm) PQ SR PS QR 7 8 9 0 MNM (S ) =N =x cm = + =x (cm) x= x= G G GFF (S ) =x cm G =x cm = G = G =x (cm) = + 8=x+x x=8 x=6 cm G F G = G F G =G GF (S ) G = : =: : =: = =7 cm F =F = =F =HG F =HG = H = FG H =FG FGH cm F +FG +GH +H =(F +H )= + =(F +H )= (cm) H =H = H = = _8=9 (cm) FG = = _8=9 (cm) HG = = _=7 (cm) F = = _=7 (cm) FGH F +FG +HG +H =7+9+7+9= (cm) G F 8 cm cm G F 6 PQRS PQRS PS = = _=6 (cm) PQ = = _8= (cm) PQRS=6_= (cm ) M =M N =N MN M =M M M = = _6=8 (cm) x=8 N =N N N = = _0= (cm) y= x+y=8+= M =M N =N MN N =N QN QN = = _0= (cm) N =N MN PN = = _8=9 (cm) PQ =PN -QN =9-= (cm) x= MN O MN =MO +ON M = ( + ) x=7 (9+x)=8x+9=6 = = _= (cm ) M M= = _6=8 (cm ) N M MN= M = _8=9 (cm ) x cm 8cm N O 9cm 7

7 = F=_= (cm ) = G+ G = =_=0 (cm ) = G+ G 8 9 0 G G = = _=6 (cm) x=6 = = cm y= G = = =9 cm G = = _9= (cm) G G = = _6= (cm) G'G G' = G = _= (cm) 6 7 = + 6 6 = = _6= (cm ) ª : =6:8=: : =9:6 : 6=9 : 6 6 =76 =6 cm G G = G =_=8 (cm) x=8 F = = _=6 (cm) y=6 8 r cm r cm : : =:9 FGª G ( ) GF :G =G :G =: G = = _=8 (cm) x cm x : = :99x= x= cm GF = G = _8= (cm) G GM = G = _=6 (cm) x=6 M M =M =9 cm Gª M ( ) G :M =G :M :=y:9y=8 y=6 x+y= G = G=_6=8 (cm ) = =_8=6 (cm ) 9 60 F : G : = : : = : : 9 GF : G =( G- F) : ( - G) =(-) : (9-)= : GF : 0= : GF=0 GF= cm.8 (m)=80 (cm) 80 : 6= : : =: G= G+ G = + 6 6 = = _8=6 (cm ) 8 6 8:=: : =:9 x cm x : 60= : 9 9x=0 x=80 80 cm

MG O O K S 6 6 6 6 66 67 :: : : =::9 x cm x :p=:9 9x=80p x=0p 0p cm :=: : =8: cm 8 (km)=000 (m)=00000 (cm) 0 = = 00000 0000 6 (km)=6000 (m)=600000 (cm) = = 600000 0000 =0_0000 =000000 (cm) =0000 (m) =0 (km) ª ( ) : ( +)=6 : 0 0 =6 + = = cm _0000=60000 (cm)=600 (m) =_000=8000 (cm)=80 (m) =_000=6000 (cm)=60 (m) =80_60=800 (m ) 0 8 cm 0-0 x=y=9 0-0 0-6cm 0 cm 0-0 cm 0-6:: 06 8cm 06-70 7 07 cm 07-8 cm 08 8000 08-60 cm 09 6 L 09-8 cm 0 = : = : =9:=: : = : =: 6 : = : = =8 cm 0- = : = : =8:=: : = : =: 8 : = : =8 = cm = + =8+=70 (cm ) 0 l m :x=:8x= x= l m n (x+) : y=(8+) : 6 :y=0:60y=90 y=9 0- m n :y=8:68y= y= l m n x : (+y)=6 : (8+6) x:7=6:x= x=8 xy=8_= 68 69 ª ( ). : (.+.8)=.6 :. =. =. (m) ª ( ) : = : : (7-)=. : =7 =. m 0 ª ( ) : =8:=: F F : =: F :=:F = F = cm F : =: F :=:F =8 70 ª ( ) : = :. :.6=.7 :. =6. =. m F = 8 cm 8 F +F = + = (cm) 9

0- ª ( ) 06- G : = : 0= : G= G+ G F = + F : =: 6 6 F :0=:F =0 = F =6 cm = = cm 0 = = F =F = = _=6 (cm) 07 M =M N =N F = = _=7 (cm) P MPN= F = = _8=9 (cm) F = _ +F +F =6+7+9= (cm) = 6 0- = = F =F = _= (cm ) 6 = F =_6= (cm) 0 = F =_8=6 (cm) = =_=8 (cm) + + =+6+8=6 (cm) G'G G = G' =_=6 (cm) G G = G =_6= (cm) 0- G' =a G'G GG' =a 06 G G = G =(GG' +G' ) =(a+a)=_a=6a G : GG' : G' =6a:a:a =6:: G= = _7= (cm ) 6 6 GG' : G' =: GG'= _=8 (cm ) + GG'= G= _ 6 = 9 = _7=8 (cm ) 9 0 07- Q O O P Q P N = PMO+ ONQ = + M ={ _ }+{ _ } = + 6 6 = = _=8 (cm ) 08. mm 7m6m : : =: x x : 6000= : x=8000 8000 08-00 : 00= : : =:9 x cm 0:x=:9 x=60 60 cm M P N

MG O O K S 09 6L 0 : : =:7 : =6:0=: x L F 6:x=:7 = F=90 = F x=6 ª F( ) 6-6=6 (L) : =: :F =: 09- : :F =:F = : =8:7 F = x cm cm 8 : 7=x : 67x=96 x=8 8 cm : ª F F F 7 7 0 6 0 0 0 cm 0 cm 0 0 06 9cm cm 7cm 07 cm 08 0 cm cm 09 0 6cm cm cm 7 cm r=h=6 68 cm 6 6 cm 7 8 8 x=6y= 0 : = : =6 : = : =x cm x : (0-x)= : x=0-xx=0 6 6 x= = cm 6 = = (cm ) : 0 6 : (6+)= : x 6x=0 x=0 6:=9:y6y=6 y=6 x+y=0+6=6 x y x+y 0 : (+)= : x x=0 x=0 : (+)=6 : y y=0 y=0 x+y=0+0=0 x y x+y 0 : = : : =6:0=: G F G : =F :G :=6:xx=0 x=0 06 Q 6 : (6+)=Q : 8Q =7 Q =9 cm P : (+6)=P :8 8P =6 P = cm PQ =Q -P =9-=7 (cm) : Q G P x PQ

07 = = F =F 0 F = =F F GF =x cm = = _8= (cm) F =(8+x) cm F = = _=6 (cm) = GF =x (cm) F = =x (cm) F = = _6= (cm) 8+x=x F x=8 x=6 GF =6 cm +F +F =+6+= (cm) GF x F x F F = F x F GF F 08 = = = cm = =_0=0 (cm) F = -F =0-0=0 (cm) F =F F F = = _= (cm) MG GM =M =M =6 (cm) G = GM =_6= (cm) M G GM G F =F = cm F F G G= G+ G = + 6 6 = G 09 = H =H H H = H F G = _= (cm ) G G G =G F =F FG FG = H FG H =FG FGH H H FG FG ª ( ) : =6:=: : =: : = : : = : =00 cm = - =00-=7 (cm ) : FGH

MG O O K S 6 : =6 : 7 =x 6: FG = =x yy 8:r=6: 6r=90 r= FP = = x h :0=6: h=80 h=6 QG = = x FG =x+6 yy r x=x+6 h x=6 = =_6=8 : =: : =: : : =8 : x cm : x=8 : 8x=000 x=00 Q 00-=68 (cm ) Q 8 =x FG = FG x FP =QG =;!; FG x x : 6: x=6 : 6: _6=6_y y= x y 6 : = : =8:6=: : =: =6 = cm =x cm 7 7 = cm ={ +x} cm 7 8:6={ +x} : x 8x=+6xx= x= : = : =:7 8: = : 7 =6 cm x x x 0 0 0 0 0 06 07 08 09 0 0 0 0 0 = ª ( ) : = : : = : : + : : + : : + : : = : 76 77

0 :x=:8 x= x=6 0 ª 6:y=8: 8y= y= : =0:6=: : = : =:9 0 F : =F :F 9:6=x:6x=6 x=6 G : =G : 9 : (9+6)=y :0y=80 y= x+y=6+=8 : =7:6 8p : =7:6 =9p (cm ) :=: 0 = F= =90 F F : =F : =:=: F : =F : (-) : = : = = cm P :PF =: :=x: x=6 x=9 PF :P = : (+) : 7= : y y=8 y= x+y=9+=0 06 07 08 09 M =M M M = = _6=8 (cm) M =M MN MN = = _=6 (cm) N =M -MN =8-6= (cm) G 8:x=: x=8 x= y:6=: y= xy=_=8 P P= = _{ } = 6 = _8=(cm ) 6 :G =: G= = _ = _ 6 = _7=6 (cm ) x y x+y 6 cm cm 6:=: : =7: 6cm cm 7 6cm cm _7= cm (cm)_0000=00000 (cm)= (km) km _ 6cm cm 6cm cm = 0 cm km

MG O O K S PRT LVL UP 0 0 0 0 0 80 8 0 0 0 6 cm 0 0 06 07 08 09 0 cm 9cm a=b=c= 88 cm 6 9 7 6 cm 8 0 9 cm =90-6 = O O=90 - =6 = a F= a F F= F= a F= F= a F F=80-8 a + F=90 a+(80-8 a)=90 a=8 F= a=_8 =7 =90 - = = F = F= =90 F=90 - = F S F = =6+0=6 (cm) = =90 = RH RH = = = = = =90 - = = = = + = + = P P =P PF P= PF=90 + PF=80 06 07 08 09 0 O x=y= x+ y=60 + =60 + =80 =80 - =80-0 =60 = O+ O+ O O cm cm r cm r cm r cm = r+ r cm =+ r r=0 r= O O =O =O O= O=90-68 = I I= _ = IO+ OI= O+ I= + = I I= = OI= - =0 O O O =O O= O= O O=80 -_ =6 = O= _6 =68 =80 -(0 + +68 )=70 F= F F F =6 cmf = cm F= F= _ = G F G= F= _ G= 6 G 0 y O x O I

h P ' =_9 =_9 =_9 y PQ'= ' n QP= PQ' n_9 Q 90 '= 8 cm n_9 <90 _' _h= _8_h ' = (cm) n<0 9 = =8 cmp =P' P' = _(8-)= (cm) 7 I = = cm a cm =F =a cm =F =b cm a cm O Q= = _ =8 cm F I a+b=8 b cm = = _7= (cm ) cm = ( + + ) b cm P= Q= _=8 (cm ) = (a++b++b+a) PO= P= _8=9 (cm ) = {6+(a+b)} ' F= '= =7 F=80 -( +7 )=8 'F= F=8 F=80 -(8 +8 )= a-=b b-a=6a-8b 8a=b a=b ' ' a=(a-)a=a- a= a= b=-= c-=c+ c= PQR SRSR PM=a cm TRQ=b cm PTR= PM=a cm QN= TRQ=b cm =a+b= (cm ) = SR+ SR =8a+8b =(a+b) =_=88 (cm ) 6 S M P T ' N Q 7 F R 6 8 9 = =6 (cm ) H 70 F H H= = H= H (S ) FH F = =H F F= F=70 F=80 -(70 +70 )=0 G GHI(RH ) H I 9cm GH =I = = cm = =9 cm cm G= _ _GH = _9_= (cm ) H F

MG O O K S LVL UP 0 8 0 0 0 cm 0 0 cm 0 cm 7 8 87 0 cm 06 cm 07 cm 08 x=0y=z= 09 0 cm 0 cm 8 96 cm cm 6cm cm 6 7 p cm 9 8 9 7 cm 0 0 cm 6 80 km = pr_ =p =p 60 8 90 pr_ =p =p 60 0 0 0 :HF =8:08HF =0 0 HF = cm 0 8 IF=8_{- }= (cm ) S =S _S =_6=6 S =8 cm S >0 T =S =8 S :S =T :T :S =6:86 S = S = cm IG = IG =8+=0 (cm) =a cm a cm =x cm =b 0 cm x cm 6 cm Gª ( ) b cm G : =G : F cm a : 6=x : 6x=a a= x Fª ( ) : =F : b : =x : 6x=6b b= x =0 cm 7 x+x+ x=0 x=0 x= G F :F = :G F :F =a:a=: 9:F =:F =9 F = cm 0 7 H I S F 0 7 cm J T G a a 9cm G a F a b b 0 60 60 0 0 ª HI :H = : :H =8:8 H = H =8 cm ª HFG :HF = :FG 06 07 Gª ( ) G :=: G =0 G =0 cm FGª ( ) GF :0=:GF =60 GF = cm 0 cm G cm F =G +GF =0+= (cm) =x cm : =:6 (-x) : x= : x=6-x 7x=6 x=8 =8 cm = - =-8=6 (cm) F 7

08 09 0 =80 -( + ) =80 -( + ) = ª ( ) : = : :6=6: =6 = cm 8:x=6:0 6x=60 x=0 :6=y :0 6y=0 y= : 6=8:z z=88 z= =x cm O :O =6 : xo :O =x : O :O =O :O 6 : x=x : x =00 x=0( x>0) =0 cm PQRST PQ =QR =RS =ST =TP = _0=6 (cm) PQ = PQ =_6= (cm) = + + =(F +F + ) R S U F =(PR +PQ +RQ ) P T Q =8(TU +SU +ST ) =8( STU ) STU 8 G'F= G'QP=_=8 (cm ) F= G'F=_8= (cm ) = F=_=96 (cm ) G G O = H = _ = = _6= (cm ) 8 6 7 8 9 MN = = _8=9 (cm) F :M =F :N =: Fª MN(SS ) F :MN = :M F :9=:F =8 F =6 cm S : :7 =8_7=6 (cm ) S S S : :8 : 8=8 : (8+S ) 8+S =6 S =6 cm S =6-(8+6)= (cm ) 9:=: : =7:6 7 : (6-7)=7 : 7 7 : 7=x :7 x= O =ao =a =a a = _p_(a) - _p_a - p_{ } =pa - pa - pa = pa 80p= pa a =6 a=8( a>0) p_8 =p`(cm ) =00000_ (cm) =00000 (cm) =000 (m) = (km) 6km0 km 0 6 = F = =a F = =a F F H 8 cm M F 9 N

MG O O K S 0 : =H :F a F a : =H :a H = a a H GHª G( ) a G H : = a : a= : G :G =: : = : = = _ = G= = _ 9 9 = 9 9 9 = G= _0=7 (cm ) MN 6cm h MN = ( + ) M N H h = _(6+0)=8 (cm) 0 cm MN= _(0+8)_h=9h (cm ) = _(6+0)_h=6h (cm ) MN : =9h : 6h=9 : 6 6 MN=9 9 MN= 6 MN (-x) cm x P (x-) cm Q QS =(x-) cm S T PT =(-x) cm cm cm :x=(x-) : (-x)x(x-)=(-x) x =0 0 cm 9 6 00000 00000 : = cm_00000 =000000 cm=0000 m =0 km = cm_00000 =800000 cm=8000 m =8 km =0_8=80 (km ) l m 0 0 0 0 0 06 07 08 88 9 0 0 0 0 0 06 07 08 09 0 6 7 8 8 6 9 cm 0 60 0 cm 8p cm x=y= 6 0 cm = = SS = = + =80 = =90 = x = = = x = x+ x= x = = = x = x+ x= x x=0 x= = I= N=90 GH =MO = cm H= O=90-8 =6 GHIMON (RH ) = =90 = =90 - = RH = = cm = = - =-= (cm) = = = =8 =80 -(90 +8 )= x+8 + =90 x=0 O O =O O= O=0 y=80 -_0 =00 I= I= I I=80 -(6 + )= I= I= 9

09 0 F = =x cm =F =(-x) cm = =(-x) cm + = (-x)+(-x)= x= x= F = cm = =70 = = + =70 + = 7 8 9 = = x = = = x+ x+( x+ )+( x+ )=80 x= x=8 O O= O=8 O=80 -_8 = = O= _ =7 I=90 + =90 + _7 =6 M= cm O :MO =: M : O= : O= M= _=8 (cm ) = O=_8= (cm ) OOF(S ) O+ OF= O+ O = O= = _0=0 (cm ) 0 P P= P=90-60 =0 P =P P= P= _(80-0 )=7 P=90-7 = 6 + =80 0 = =80-0 =60 7 cm 60 60 60 cm = =60 = = =7 (cm) = = - =-7= (cm) O =O O= O=90 O OO(SS ) = OFO(S ) =F O =OF FOFO(SS ) F =F = = SPQPSRQR(S ) SP =QP =SR =QR PQRS 0 = = a = = = a 80 =90 + a a=90 a=0 x=80 -(90 +0 )=60 = = a a x I= I I I= I I= I=0 I= I I = I I = =I +I = + =6+9= (cm) I I = I =

MG O O K S _0=0 (cm) 9 9 r cm = _r_(+0+6)= 6 r=96 r= =p_0 -p_ =00p-6p=8p (cm ) 0 0 0 0 0 06 07 08 09 0 6 7 8 6 9 0 0 66 x=6 y= {- p} cm cm 6 cm 6 90 0 = = =6 = = _6 =8 =8 +6 =8 8-x=x-7x= x= = = y= x y F= F F =F yy F= F F =F yy = F = yy = =F =F F =F =F = F 0 0 0 = = = _(80-8 )=66 F (SS ) F=F= F+ F=80-66 = F=80 -( F+ ) =80 -( F+ F) =80 - =66 (RH ) = = =7 cm _6_ =9 (cm ) = =7 cm (RHS ) = =6 cm y=6 =90-8 = 6 cm 6 = cm cm 6cm = + = + = = 0=0 (cm ) 0 = _ = x= x+y=+6=7 O O O= O= O= O=6 O= O - =(6 + O)-( + O) =6 - = O 6 = 06 I I=90 + =8 =90 +8 =08

I'I I'=90 + I=90 + _08 = = - = -8 =96 07 08 09 I= I I I= I I= I =I =I + + = + +(I +I ) = + +( + ) =( + )+( + ) = + =+8=0 (cm) O= =_6 =9 O= O= _(80-9 )= =80 -(6 +6 )=70 6 = = = P P P = =70 =0 P=60 P= - P=0-60 =0 P= _(80-0 )=6 F MN O cm ONOFM(S ) ON= OFM NF= ON+ ONF = OFM+ ONF = MN = = 8= (cm ) M O N 8 cm F 0 I= = _70 = OI= O- I= - =9 F= F F = =6 cm = =0 cm F =F - =6-0=6 (cm) : =6 : = _80 =7 6+ = =7 7 8 9 = = = - = - = (SS ) = =80 -_7 = I= I= a I= I= b a+ b+89 =80 a+ b=9 a+ b+8 =80 a+ b=9 + a+ b=86 =80 -_6 =6 + = +6 =80 =80-6 =6 yy yy a+ b=6 P+ P= P+ P + P=+6 P=8 cm = = = _6 =8 x=80-8 = = = =8 =80 -_8 = = = 0 = '= '= '= + =0 '= =90 x=80 -(0 +90 )=0

MG O O K S I I= I=6 6 OI=6 - = O I O O O =O O= O= O O=80 -_ = = _ =66 =80 -( +6 +66 )=66 I OI F F O :O =: O= O=_9=7 (cm ) O= - O= - O = O=9 (cm ) = O+ O =7+9=6 (cm ) O O = = =68 =80 -_68 = (SS ) = =90 = = x=80 -(90 + )=6 = y=68 - = 6 H =H H= HH HH (SS ) = = =60 =80 - =80-60 =0 H=80 -(60 +90 )=0 H=0-0 =90 x y H I r cm = _r_(++0)= 0 r= 90 _-p_ _ =- p (cm ) 60 I 96 99 0 0 0 0 0 06 07 08 09 0 6 7 p cm 8 8 9 0 cm 8 cm 9 cm cm cm 6 cm = = = =7 cm = = cm = - =-7= (cm) F= F F F= F F = =7 cm F =F - =7-= (cm) 0 0 :F = :FG =9:=: :GH = : : 8= : =6 cm = =9 = F=60 -(9 +60 +90 )= = H=60 =6 =80 -(6 +7 )= F = = = F=70 ª F( )

0 = P ª ( ) PMO= = _ : = : :=6: =6 =8 cm = = _8=8 (cm ) 6 6 =x cm : = : Q (x+8) : 6= : x= = cm QON= = _ 0 : = : =: = = _8=8 (cm ) 6 6 ª (SS ) = PMO+ QON : =: 0: =: =8+8=6 (cm ) =80 =6 cm 0 06 07 08 09 0 x:=9: x=6 x= y:=:9 9x=8 6 y= 6 xy=_ =6 : = : 8: =6: 6 =7 = cm : = : (6+) : 8=x : (-x) 8x=0-0x8x=0 x= P : P' =: 6 :=:y y=6 y= : =x : (-x) x=-x 7x= x=6 6 xy=6_ = Fª ( ) 8 : (8+)= : F : =: F :=: F = F = cm H =FG = F =HG = =7 (cm) = (cm) FGH =_(7+)= (cm) = G G= =_7= (cm ) =6 G=6_=8 (cm ) GHª G( ) GH :G =G :G =: G = = _= (cm) GH = G = _= (cm) 0 7 6 7 8 9 ª ( ) : =8:0=: : =6: : =6 : 6 : =6 : = cm = - =-6=9 (cm ) 9: : : =7 : : : =6: 6 : : =8:7 x cm x : =8 : 7 x=0 : = : x cm 0 : x=: x= p_=p (cm) Fª : =:6=: 8 y:8=: y= F : =: :x=: x= 8 xy=_ =8 F = F = x= _(+6)= (cm) cm x cm 6 cm F

MG O O K S 0 G= = (cm ) = cm ª (SS ) : : =: :=: = = cm = F == F ª F( ) : = :F : =0 : 0 =80 =8 cm ª F 6 =60 cm G= = _60=0 (cm ) 6 6 0 : GF= : GF= cm G :G =: G GF GF 9 : = : : : =7 : 0 cm x cm x : 0=7 : x= cm = _ =_9=6 _(+9)_6=9 (cm ) : = : 8:6=6:x8x=96 x= =6 cm( >0) H = = _0= (cm) G = = _8= (cm) GH =H -G =-= (cm) G G :G =: Gª F : : =:9 x H G GH G : GF= : (9-)= : 00 0 0 0 0 0 0 06 07 08 09 0 6 7 cm 8 cm 9 cm 0 km SS 6cm cm cm 8 cm 0 cm cm 6 6 0 0 0 F : 6: =: =8 = cm 0:F = : F =60 F = cm F ++9=6 (cm) :9=: x cm 0:x=:x=0 x=6 p_6=p (cm)

0 Hª H( ) 0 : =: HH : =: H :H =6:8=: 6: = : = cm H :H =: 8:H = : G= =8 cm H = cm G G :G =: H= 8=6 (cm ) G= G= _8= (cm ) 0 06 07 08 09 ª F( ) :F = : 7:F =: F = cm = =7 cm F =F + =+7= (cm) : = : =9:=: : = : = 7 = _6= (cm ) 7 : = : 6 : = :6 =96 =8 cm : = : 6 : =(+ ) : 6 =68+ =68 = cm : =F :F l :=:y x m G F y: y=6 n 8 F G : =G : : (+)=G :86G =6 G = F : =GF : 6 : (6+)=GF :9GF =8 GF = 8 x=g +GF = += x+y= +6= GHI GH +HI +IG = (F +F + ) = ( + + ) = (++) =9 (cm) 6 8 y 6 GG : G= G= _8= (cm ) G= G= cm = F =8 (cm) G = = _8=6 (cm) G = = _8= (cm) G = = _8=6 (cm) GG' = G = _6= (cm) G' =G +GG' =+=6 (cm) : =6 : 9= : : = : 9 x cm x : (x+)= : 9 9x=x+80x=80 x=6 + =6+=8 (cm ) : : = : x ml : x=:x=800 x=700 700 ml :0=: : = : + : : =:8 : (8-)= : 7 x cm : 7= : x x= cm

MG O O K S 7 =F =7 cm x : (-x)= : 77x=60-x = cm x=60 x= = cm 8 9 0 cm F =-= (cm) Fª F( ) :F =F :F 8:=7:F 8F =8 F = cm =F = cm cm 60 7 cm cm cm 60 60 ª 60 7 : = : = cm P P= 6 = _ 6 = = _6 = (cm ) cm cm = = = 6km 600000 cm 00000 cm_00000=00000 cm =000 m = km P F MN P M 8cm P N MP = cm = _=7 (cm) PN = = _8= (cm) MN =MP +PN =7+= (cm) G F G GF(S ) G =F =6 cm = G F G =GF = cm x x : MP PN MN =G +G =+6=8 (cm) G G G 6 cm F : = : =: ª (SS ) : =: : =: = =6 cm G G FG = FG+ G = + 6 6 = =0 F G =x cm =-x (cm) =0 cm : = : :0=: : = : =0 : = : 7 = cm 7

6 :8 : 8cm :8=: : =:6 6 0 06 y= O=8 O x=8 +6 =7 x- y=7-8 =6 07 = = O =O = FINL 0 0 0 0 0 0 0 0 0 06 07 08 09 0 6 7 7cm 8 8 0 07 9 cm 0 8 cm 7 cm 6 cm cm 0 cm 6 00 m 7 = = = = + =6 = = =6 =80 -(6 +6 )= F F=90-6 =6 F RHS = F=6 =6 +6 = 90 + = = =6 =80 -(0 +7 )=6 I=90 + =90 + _6 =8 O= =_6 = I- O=8 - =6 08 09 0 = =7 H H=80 -(90 +7 )=8 x=8 8cm H' x 7 cm H' =H = cm H' H H'H = =8 cm y cm =+8+= (cm) y= 80 7 60 = ª ( ) =x cm : = : : (6+x)=6 : (+) 6+6x=766x=0 0 0 x= = cm P =x cm x : 9=(-x) :8 8x=89-9x7x=89 x=7 P =7 cm =x cm 0 : 8=(x+) : x 0x=8x+x= x=6 =6 cm

MG O O K S QON= = O :O = : =9 : = : 6 = _=7 (cm ) 6 O : = : (+)8O = =7+7= (cm ) O = cm 8 0 : : = : 8 OF : 9= : (+)8OF = 6 : = : 8 OF = cm 8 =0 cm F =O +OF 6-0=8 (cm ) = + = (cm) 8 8 : = =90 = (RHS ) = = G= G= 6 6 G= G+ G = _(90 - )= = + 6 6 = = G =_6=8 (cm ) QFP= F+ F 6 = _ + _ ª ''( ) ' : ' = : '' = : 6.=0.8 : '' 80 cm ' m 6. m '' =0 m = QFP=_9=6 (cm ) 0 m =6-9=7 (cm ) 7 8 9 = 6 cm 7 cm = = = =7 cm = =69 = =_69 =8 =80 - =80-8 = P PMO= = 6 = _=7 (cm ) 6 Q QFP 6cm 7cm 0 60 60 60 = =6 cm = =0 = =60 = =80-0 =60 = = =7 cm = + =6+7= (cm) + + + =7++7+6 = (cm) 9

ª ( ) : =9:=: : =:7 F :=:7 7F =6 6 F = cm 7 : F F FINL 0 = = = a = = = b 96 + a+ b=60 a+ b= = a+ b= 08 0 0 0 0 0 06 07 08 09 0 6 7 7 8 x=y=9 9 cm 0 8p cm 8 67. cm 88 cm 8 cm 6 8 cm G G' F F F =;!; =;!;_0= (cm) G G' F 0 cm 0 = = =90 =90 - = (RH ) = =b = =a = + =a+b GG' :F =: GG' :=: GG' =0 cm G G' F F GG' 0 O=80 _ =08 = O= O = = _=6 (cm) 6 =x cm x : (x+)= : 8 8x=x+6x= x= = cm _000 (cm)=0000 (cm)=00 (m) 0 0 I I=90 + = =90 + = 06 P+ P= =0 (cm ) P= _0= (cm ) 07 O= O=6 x= O=80 -_6 =8 x=8 =O =_7= (cm) y= x+y=8+= 0

MG O O K S 08 =90-6 =6 F= F= x F= F= x F 6 + x+ x=80 x=6 0:=: : = : =:9 :6=:99 = =6 cm = - =6-6=0 (cm ) 09 0 x=8 '''' :=: ' '= =8 : '' =: :8=: =0 =0 cm :'' =: 0:'' =: '' =80 '' =6 cm :6=: x cm :=:x x= cm m n :6=8:xx=8 x= l m n 6 : (+6)=y : (8+) 0y=0 y= x+y=+= ª : =:8=: 8:x=:x=0 x=0 y : 8=:y=6 6 y= 6 xy=0_ = M =M MP = MP =_=0 (cm) x=0 N =N PN PN = = _6= (cm) y= x+y=0+= =F 6 7 8 9 0 : : =:8:7 : (8-) : (7-8)= :7:9 9 _=8 (cm ) +7+9 = =80 - F=80-6 = = + =88 = = _88 = x-8=x= x= = =0 O O=0 + =9 y=9 = ª ( ) : = : 0 : = : 0 = = 7 8 cm O O' : : =: O' x cm p : x=:x=p x=6p cm p-6p=8p (cm ) 7 cm = =90 = (RHS ) = = = = _ =. =90 -. =67.

= = = = =8 cm = _8_8= (cm ) = =_ = =_ G= G G = G=_=8 (cm ) G P Q Q P PQ P =Q Q x Q P P =8(x+)Q =0x 8(x+)=0x8x+=0x x= Q Q P P =Q 6 : 6= : : : = : 6 0:( )= : 6 ( )=8 cm x P Q Q P =8 cm _ _ =8 _=8 =8 cm = + = + ={ _0_8}+8 =0+8=88(cm ) 8 =6y y= 0 x = _{6+ }={ } 0 x= ( x>0) 0 7 x+y= + = = y x x+y FINL 0 0 0 0 0 06 07 08 09 0 6 7 cm 8 cm 9 0 cm 0 96 cm 6 6 6 cm x=y= cm 6 cm p cm 0 0 = = =7 =80 -(7 +7 )=6 = = _7 =6 =6 +6 =7 = = =90 = =90 - = RH = =0 cm = =6 cm = - =0-6= (cm)

MG O O K S 0 =80 _ =60 O O= =_60 =0 6:=x:9x= 9 x= 9:y=:y=6 y= 0 0 ( )=6 =8 cm : = : 7 7 = _80 =0 +7 = =0 :8=:x x= x= : (+)=8 : (8+y) 96+y=08y= 8 y= 8 x-y=_-_ =0 06 OFO(S ) FO+ O= FO+ OF = O = = _6= (cm ) : = : : =: :7=: =8 cm 07 M = =8 cm G = M = _8= (cm) 08 x- 0 x+8 60 60 = =x- = =60 = =60 = =x+8 = + = (x-)+(x+8)= x=8 x= 6 9: : : =7:8 x cm 8p :x=7:87x=68p x=p p cm. cm. cm = = = 8 m 800 cm 000 =. (cm)_000=600 (cm)=6 (m) 09 F : :=: =0 cm :8=: = cm + + =0++=6(cm) 7 RH = =6 cm = 6= (cm ) cm 6 cm 0 =x cm 6 : =x : (-x) x=6-6x8x=6 x= = cm : =6 : = : : = : =: 8 PQ : PQ= : 0 : PQ=: PQ=0 PQ= cm Q= PQ+ PQ=0+= (cm ) Q : Q= : : Q= : Q=

Q= O = = = _8=9 (cm) 9 = Q+ Q =+ = (cm ) F ª ( ) : =0:6=: 0 cm F :0=:88F =0 F = cm = _6_ =0 (cm ) F 6 cm 6cm = + = =_{ _8_9} =6 (cm ) O 8:x=:8 x= x= 8 : (-8)=0 : y 8y=0 y= x 0 Oª O ( ) OO :7 OO :7 =6:9 6 : O=6 : 96 O=6 O=96 cm = = = _(80 - )=6 P= - P=6 - = = = - = - = (SS ) P= P= P P= + =6 P P P =80 - =80-8 = P= = _ =6 P P=90-6 =6 = =8 x=8-6 =6 6 y F G GF(S ) G =F =7 cm G F = F = G =_7= (cm) =F +F =7+= (cm) F F' : = : ' :=: ' =6 ' = cm =+= (cm) : :F =:: 8:(6-8) : (-6)=8 : 6 : 6 x cm p : x=6:66x=68 x=p GF G F p cm G F 7cm cm cm ' F cmf' cm P P x

MG O O K S FINL 0 0 0 0 0 0 0 06 07 08 09 0 = x = = = x = x+ x= x = = = x = x+ x= x = = = x x+ x+90 =80 x=90 x=. =. = = = _(80 - )=68 = = _68 = =80-68 = = = _ =6 =80 -( +68 +6 )= 6 9 6 7 cm 8 8 cm 9 x=6y=0 0 87. km 96 cm 0 cm 7 cm 7cm 6 6m 06 07 08 09 0 = F =F F= F =F x=x- x= O O=90-8 = =_ =8 y=8 x+y=+8=88 ª ( ) 0 : = :9 =80 = cm 0 : 6= :96 =90 = cm = - =-9=6 (cm) : =: Q :0=:Q =60 Q = cm : =: P :6=:P = P = cm 8 PQ =Q -P =- = (cm) 0 = =90 = RHS = = = _(90 - )= SS = = = = _8=9 (cm) G = = _9= (cm) 0 0 I = I = = = = = cm x= F= F F= F F F = =9 cm F = -F =-9= (cm) y= 6 :F : =:: : FG : = : : =::9 FG : FG=(-) : (9-)= : FG x cm 6 : x=: x=60 FG 60 cm : : =:8 x : x=:8 x=0 0 7 0

7 + = + + + P+ P= P+ P = +I +I + 8+= P+ += + + P=0 cm =8+0+=0 (cm) = + + P+ P= P+ P =0+= (cm) P 8 OFO(S ) O= FO = O+ OF = FO+ OF = O = = = =80 -_ =0 = - = - =0 - =7 = = _=8 (cm ) 9 = _ 6= x x=6 = _ y =6_{6+ }=00 OO O= OO :O =O :O = : Oª O (SS ) : =: 6: =: = = cm 0 y=0 ( y>0) : 0000 = : 600000000 cm_6 cm=0 cm =0_600000000 (cm ) =87000000000 (cm ) =8700000 (m ) =87. (km ) F =a cm O b cm =b cm I F = = cm F =F =(b-)cm a cm = =(a-)cm + = (b-)+(a-)=0 a+b=8 = (0+a+b) = 8 =96 (cm ) =a cm =b cm ab a+b 6 PQ P = O Q = O = O P =Q PQ =PO +QO = O + O = O P =PQ =Q P = = _=7 (cm) '' = '=90 ª ''( ) : ' = : '' 0.8 :.8= : '' '' =6 m 6m ª '' Oª O P Q P =PQ =Q P 6