14일등예감수학2-2교사(001~026)

9 8 8 9 0 0 09 0 9

8~9 / [~] [~] [0~] 0 [~] 0 00 00 [~9] 8 9 8 0 00 00

0~ / [~] [~] 8 8 0 0 8 9 0

- ~ / [~] [0~] 0 0 [~9] [~] 0 8 8 9 0 0

- ~ / [~] 8 9 0 [~]

~ /0 8 0 9 0 0 0 8 0

8~9 /0 0 ;#; 0 0 0 8 y+y=0 9 ={} pp p=0 p= pæ0 0 p< 0 p 0 0 0 8

~ /9 0 0 8 0 ;!; 9 ;!; 8 9

~ / ;#; ;!; 8 0% 0% 9 ;@; ;#; 0 ;!; ;!; ;@; ;!; 0

~ /8 9 8 0 - - - - 0 0 8 9 8 0

~ /8 00000 00 8 0

0~ / y -y= 0 0 8 0 0 0

0~ / abb a ;#; ;!; ;!; ;@; ;#; a b y=;a; y=+

~ / 0 a b a-b=0 ;#;;%; y-y< ;@;;#;

~ / ;@;;#; 0 0 0% 0% cmcmcmcm

/8 0 0 0

9 0 8 ;!; ;!; ; 9; 8

/8 000 9

a ba-b> ;!; ;@; ;!; abc c a+b 8 ;9%; ;!; 0

0~ /8 0 MRH H 0 9 0 8 08 ={}={} a<b< ab 8 9 0 0 0 0 8 0 8

9 ;!; ;!; ;@; ;!; ; ; 0 0 8 0 8 ;9!; ;9@; ;!; ;9$; ;9%; y z -z+y ;#!; ;!%; ;@(; ;8&; ;@&; 0 0 ;@;;@; p qp+q ; ; ; ; ;!; ; ; ;!;

;#;;@;;!; cmcmcm cm cm cm ; ; ;8!; 8 0 ; ; ;!; ; ; ;!; ;@; ;#; ;$; 9 0 ;9!; ;9@; ;!; ;9$; ;9%; ;@; ;!; ;#; ;@; ;#; ; ; ; ; ; ; ; ; ;ª; 0

0 8

8~ / 0000 00 0 0 0 8 0 8 0 0 8 9 0 8 a b (ab) y=- ;!; ;!; ; ; ; 8; ;!;

9 ;!; 0 0 = _ 0 00=.0_0 ;!; ;!;.0_0 ;!; ;8!; ;8&; = _ 0 00=.0_0 ;!;;!; ;!;.0_0

~ /0 = = = y y = y SS = [~] = 0 0 = = = = y y =y SS = y = += == y [~8] y 9 80 cm 0 8 [9~0] y 0 cm y cm 0 cm y 8cm 8cm 0 y cm cm

8~9 / [~] 0 8 0 0 0 [9~0] 9 0 cm cm 0 0 0 0 0 [~] [~8] = 0 8 0 8 0 9 8

~ /8 0 0 = ===90 = =90 = y = y = y 0 [~] 0 cm cm = = cm cm [~8] 0 cm 0 cm cm cm 8 l cm cm cm l 9

~ /0 =90 = 0 cm 0 cm cm cm 8cm = = =90 = [~0] = X 0 P Y X cm cm P cm Y =cm X P 8 X P XY P X Y HK PH =PK PH=PK PH=XHP PH PK H X P K H =K HP=KP Y 9 0 0 Y Y 0

8~9 /8 I y cm I y I [~8] I y 0 I y 0 I I I = y I RH I = y I =I =I y 0 I I I 0 I 8 8 I =I =I = I I = I=I I

0~ / [~] I [9~0] I I 0 0 I 0 9 9cm 8cm I cm 0 cm I 0 cm cm I cm cm 8cm cmi 0 cm [~] I cm cm I cm [~8] I 0 I I 0 0 cm 8cm I cm [~] I 8 0 I I cm I cm cm cm I

~ /9 = y = y = [~] 9 9 8 [8~9] +y 8 = = = = = 9 y cm 8cm y cm 0 cm

8 ~ / [~0] M 0 M 8 M 9 cm M cm 0 cm M cm cm 0 = > [~] 0 0 [~] 0 cm 8cm cm cm 0 cm cm 0 0 0 0 cm cm

9~0 / = =0 // 0 = = = 0 0 0 = 0 =90 =0 =0 = cm 0 0 cm =90 = =0 0 = 80 0 0 0 0 0 0 0

0~ / = // =0 8 0 80 0 = = = = = 0 = = =8 cm = cm 8 cm cm =90 :=: = '=8 8 ' 8 0 0 8 0

~ / XY P X Y P =P P P =P P P X P=P=90 P=P P Y PX Y P P P=P P=P P P = P=0 X P Y cm 0 0 cm cm =90 = l = cm =8 cm =90 = =.. 8 8. cm 8cm l = M M=M M =M M M M = M M =90 = =0 cm = cm =8 cm 0 cm cm 8cm

~ / =90 0 0 0 0 0 M l = cmm=0 +y = = =8. = = cm l y M 0 cm l =90 = cm cm l = cm = cm =90 = = =80 80 M M M =M M =90 =0 cm =8 cm 8cm 0 cm 8

~ / = I =0 I 0 I I // =8 cm = cm =0 cm 8cm 0 cm I cm =90 = cm = cm = cm cm I cm cm I I I=0 I 0 =9 cm =8 cm = cm 9cm I 8cm cm 9

~ / = I =0 I I 0 I // cm I =90 = cm =8 cm =0 cm cm r I 0 cm 8cm cm 0 cm I cm I I=0 I= I I = cm = cm =0 cm cm I 0 cm I 0 cm 0

8~9 / =90 = cm = cm = cm cm cm cm 0 =9 cm =0 cm = cm 9cm 0 cm cm =0 =0 0 =0 =0 0 0 =90 M =0 0 M ::=::

8~9 / =90 = cm = cm = cm cm cm cm = = = = = = = = cm = cm =0 cm cm cm -y y 0 =90 = cm = cm +y y cm cm : : =::

/8 = = = =0 0 = M LN =0 =0 cm LMN L 0 N M 0 cm =0 =0 0 0 = =0 = = 0

=8 cm = cm = cm I cm cm cm cm cm I cm I =80 + 8 I =90 P I = I 80 P I

/8 =90 M H MH=0 0 M H =90 = cm cm cm = =0 = = cm = cm cm cm

=90 =0 = cm I PQ I =8 cm =0 cm = cmpq 0 cm 8 cm cm P I Q 0 cm I I' // = = =0 I I' 8 I =0 =0 I I 0 I' I

~ /9 ==90 = = = = = = == = = = =80 0 0 80 = =0 0 =90 M = M =90 = = cm = cm = cm cm cm cm cm 8 cm 0 cm cm cm = = = = =90 = =

8 =8 =0 0 8 8 0 I =80 I 80 I 9 = =0 0 = = 0 8 0 I I= 0 0 0 I =90 = l l = cm = cm l cm cm I cm cm I cm cm cm cm 9cm cm =0 0 0 cm cm 0 cm cm 9 cm 0 8 0 8

= = = =0 0 8 M LN =0 = cm L 0 M cm N = _ 0 00=.0_0 LMNM LMN LMN.0_0 = _ 0 00=.0_0 I I I =0 + I 0 9.0_0 =90 =0 cm = cm =8 cm S S S -S 0 cm 8cm I cm = _ 0 00=.0_0 = _ 0 00=.0_0.0_0.0_0 9

8~9 /0 0 0 y y+ + 0 = = // = yy = yy = yy S = = cm cm y cm cm 8 cm y cm cm 9cm [9~0] = = = = 9 P =00 cm [~8] y cm 0 y cm cm cm 80 80 y 0 P =80 cm P= cm 0

0~ / // = yy = yy // = yy SS = [8~] 8 = cm =9 cm = cm =9 cm [~] // = cm = cm ( ) 9 // // = = ( ) 0 = cm =0 cm = cm =0 cm // = cm = cm ( ) = cm = cm // = cm = cm = cm = cm ( ) = = = =0 =0 =0 ( ) ==80 ==00 ( ) =0 =0 //

~ / 9 === = = = = = = = += ==90 [~] y cm y cm 0 cm y [~8] ( ) ( ) ( ) [0~] 0 y 0 y cm cm [~] ( ) ( ) ( ) 90 ( ) 90 ( ) 8 80 ( ) 80 ( )

~ / = = = =90 [~] y cm y cm y 9 // = = = // = = = [0~] // = [~8] 0 cm 0 cm cm 80 = ( ) = ( ) 0 = ( ) 8 ( ) 8 =90 ( )

80~8 /9 [~] = = = 8 90 = 9

8~8 /8 [~] [~8] = cm = cm =0 cm = cm = cm 0 cm P :P =:P P P :PM =: =0 cm PM P // : =:=8 cm M P :P =: =9 cm P 8 // = = cm P

~ / = =8 cm = cm cm 9cm cm 8cm 0 cm 8cm cm +=80 = = = = = =0 =0 =0 = cm = cm = cm = cm = P P=0 P= P= P P =8 cm = cm cm 8cm PQ PQ Q P = cm =8 cm = cm P=QPPQ=Q = PQ= yy P=PQQ =PQ P= P =80 -P= yy PQ

~ / =0 cm = cm :=: P P 0 cm cm H =0 H P // = cm = cm = = cm+=80 ==00 // = = = P cm P cm P P 0 H Q P = cm =0 cm Q +Q cm P Q 0 cm ==90 // yy == 90 = = RH yy

8~9 / = = // = = =8 =0 8 0 = = = = =90 =90 =0 0 = cm =0 cm y y H H // H =H = =H =H =H ===H=90 0 H cm = = yy = = = yy = = = 8

8~9 / =90 // // = // // = // = // = = 90 = H H H = = = = = === 9

8~8 / P P //Q M =QM QM PM cm PQ P M Q = =90 =90 = // = = cm H H H = cm =8 cm 0

8~8 / // : =: 0 cm // : =: =0 cm H H H = = cm H H : =: =80 cm

/8 // = a+b+c a-8 a+ a-c // = yy = - yy =- yy = +b MN =0 cm = cm N MN = cm MN 0 cm M cm N M N

= =0 0 =00 m m m // 8 // cmμ ;!; cm

/8 // = cm =0 cm = cm // = yy // = yy // = yy === H PH Q PQ = P Q H =P=Q P =Q P //Q P =Q Q =P P // Q Q // P = P =Q PQ

H =8 cmh = = cm H = =H = H H H P HP P H 8 : =: // =0 cm

8~9 /0 =0 cm = cm =0 z--y (y+)cm (+)cm z cm 0 0 cm P P P= cm P= cm P= cm P = = // =0 cm +=80 ==0 =0 =0 =0 = cm = cm = cm = cm // = cm = cm = cm = cm = cm = cm = = = = =90 = = =90 H Q H P H PQ PQ P //Q Q //P P =Q P //Q P=QPQ=PQ P =Q Q =P Q =P Q //P 8 H H cm H

9 // = =8 0 8 = cm =8 cm = = =90 = M P :PM =: =80 cm PM =00 cm P cm Q 9cm P Q Q Q // P 9 0 P P M Q

= +y y 9 // =0 cm = cm =0 0 cm 0 cm =(- y) y =- y y =-;; ;; y =(- y) y =- y y =-;; ;; y -;; ;; y -;; ;; y 8 + 8cm 0 cm 0 cm // μ ;9!; cm =(- y) y =- y y =-;; ;; y =(- y) y =- y y =-;; ;; y -;; ;; y -;; ;; y 8

~9 / = SS = = = = = = = = // // = cm cm I // =8 cm cm I 8cm cm P 8 P P =P P=P=90 P P=P P P 8 9 = = cm = = cm = = cm = =0 cm +=80 +=80 = = cm==0 ==0 =0 9

8 = = = = =90 =90 =0 cm = cm = cm 0 cm cm cm 9 = =0 0 = _ 0 00=.0_0 0 // : =: = cm // = cm =0 cm MN = cm MN MN MN.0_0.0_0 M = _ 0 00=.0_0 N 0

9~9 / ªH H ªH H 0 cm 9 cm 9 cm ª 8cm H ª cm 0 8 cm 0 cm 0 cm cm ªH ª : 0 cm 80 8 8 cm 8 cm H 8 0 H

98~99 / ª : HI 0 cm cm 8 cm cm cm J H K I L cm 9cm +y '''' ' ' H cm 0 cm cm H ' ' ' ' 8 H' y ' ª

0~0 / cm 0 cm cm 0 cm J [~] 0 cm 0 H N 0 0 M cm cm I K cm Q cm cm cm L P 0 cm R 0 [~] 8 8cm cm cm 0 cm 9 8 0 cm 0 cm cm 0 8 9

0~0 /9 =90 H H ==90 9 = = = = ª =90 :y : : : : : y 0 8 [~] =90 8 =90 0 cm cm =0 cm cm = cm = cm 9 H = cmh = cm H cm H cm

00~0 / ª cm cm 0 0 cm cm cm k : % k : % k :8% h cm cm cm cm 9cm 0 cm cm : : ª 0

00~0 / ª // // y cm cm 8cm cm y : 9cm ª cm cm cm

0~0 / ==0 // 0 0 = cm cm =90 +y y cm cm cm cm cm cm =8 cm = cm = cm 8 cm cm cm cm 8cm cm cm 9cm 8cm cm cm cm 8 cm cm cm cm cm cm

0~0 / // 0 8 cm 8 cm cm 9 =90 cm cm =90 0 cm cm = cm 0 cm =0 cm =0 cm cm cm 8cm. cm cm cm 9cm cm 9cm = cm cm cm 8

/8 = = =0 cm = cm = cm = = =8 == : 0 cm cm cm 8 cm cm P :P =:Q =QR =RP Q QS S Q R P 9

PQ = cm PQ ==0 = cm = cm cm 0 0 cm P Q = M =M M M M =0 cmm 8 // // = cm = cm 0 cm cm cm M 80

/8 cm cm 9cm cm =0 cm M =M M :M cm M 0 cm =0 cm = cm 0 cm 9cm : =: 9 cm cm 8

= cm =0 cm cm M :M =:M M M M 0 cm M =9 cm = cm = cm cm cm 9 cm 8 // // : =: : =: = cm = cm - cm cm 8

9~ / ªH H =;*; cm cm 8 cm cm cm cm 0 cm cm cm 8 cm 0 cm cm cm = H= = cm :H =: H : cm H ' ' ' ' 8cm ' ' 0 cm H' cm ' 0 8 00 0 0 00 0 8 0 H cm cm =90 +y +z cm y cm z cm cm cm ;(; cm ;; ;; cm ;; ;; cm cm cm cm 9 cm 8

0 =90 = cm =8 cm +y cm y cm 8 cm cm 8 =0 cm =8 cm = cm 0 cm ;; ;;cm cm ;; ;;cm 8cm cm º y º : : : : : a º b cm ;; ;;cm 9 = = cm =8 cm ;8%; cm ;; 8 ;; cm cm 8 cm =90 M H M = cm =8 cmh cm H M 8cm ;; 8 ;; cm ;*; cm ;; ;; cm ;; ;; cm ;(; cm ;(; cm ;; ;; cm cm 8

= cm = cm = cm ª cm cm cm =8 cm = cm =0 cm P Q PQ cm P Q 0 cm 8cm = +-- +- - +- - - - = +-- +- - +- - - - - - ===90 = cm = cm =8 cm cm = +-- +- - +- - - - cm 8 cm = +-- +- - +- - - - - cm cm 8cm - 8

~ / [~] // 0 // : =: 0 cm 8 // 0 9 0 [~8] // y y 9 8 y 8 // // +y y 9 9 // +y y P 9 [~] // // 8

~ / [~] 9 9 =8cm =cm 8cm cm 8 9 9 0 // = cm =8 cm cm 8cm [~8] 9 8 8 8 8 0 =90 =9cm =cm =cm 9cm cm cm ==0 =cm =0cm =cm cm 0 0 cm 0 cm 8

0~ /0 [~] l//m//n l m n l//m//n = cm = cm =8 cm l m n cmcm 8cm l m n 9 8 k//l//m//n +y l n 8 k l m n y 9 [~] // // y y y 0 9 // // cm cm 8cm cm a//b//cy a b y 9 c 0 l//m//n+y l 9 y m 8 n 88

~ /0 [~] MN M N M N = = 8cm =90 PQR PQ QR cm P 0 cm R Q 8cm = = = cm cm PR PQR H =8cm =cm H 8 cm H cm [8~9] // MN 8 9 M M N N H H // // cm 8cm 0 // Q // MN cm P M cm Q N 89

~ / [~] [9~] ' 9 8 ' 0 ' [~] ' [~8] 8 +y y 90

8~9 / [~] = cm [9~] 9 0 N N M M N 9 0 M M [~8] =cm =0cm cm PQ PQ MN P M Q N 8 cm ' ' ' =cm =0cm 9

~ /8 cm cm cm = cm = cm : ' 8cm 0 cm ' ' cm ;!; // =cm =cm 0cm cm cm 8 cm cm 9

8 ~ / 0km 0cm ;00!00; ;00!00; ;00!00; ;00!00; ;00!00; 0 m cm 0 cm ;00!00; km cm ;00!00; m. cm. cm.8 cm 9m m ' m ' m m '' cm ' 0m cm cm. m m ' cm ' cm 9

8~9 / M =M =8 cm : =: M 8cm 9cm cm cm // Q cm P 8cm I =8 cm = cm =0 cm I :I 8cm I cm 0 cm Q cm : : =:: // = cm cm cm 0 cm 8cm 9

8~9 / // // y y 8 // // : cm 9cm = cm =8 cm = cm cm 8cm =9 cm = cm 9cm cm // 0 cm cm cm 9

~ / l//m//n +y l m n y 8 : =: = P :P P // // = cm =0 cm cm 0 cm // +y y 8 P Q R S = cm PQRS P S cm Q R = cm = cm =0 cm cm 0 cm cm // // : =: PQ P cm 8 cm Q 9

~ / // M M M // = cm cm M 8 cm = = + = = = PQ =0 cm PQ 8cm P = cm =0 cm = cm cm cm Q 0 cm cm = 9cm 9

0~ / // = cm cm H =0 cm +H 0 cm H =8 cm ' ' 8 cm ' M =M cm M H 8 cm H M H = cmh H cm P M PQ N P Q Q MN = cm M N 98

0~ / // = cm cm Q MN N P PQ M N M PQ=8 cm // M = cm H H M MN M cm PN Q P = cmmn P M Q N =90 MN M N N // M = cm M cm M N M cm P P M P cm MN N P M Q 99

~ / cmcm P P P P :P :P cm cm P P P : 0000 cm 8:. cm km cm km cm = =9 cm = cm = cm =8 cm 9cm cm m m m m m 0 m 0 m 0 m 00

~ / = cm ;@; 90 cm h h k b a 0 cm cm 0 cm cm (a-b)k bk b a a b b a ak b l 0 l cm 9cm 800 : 00000 cm 0 km 0

/8 : =: = cm 9cm cm cm = = Q :Q =: P :P =:P Q R R :RQ P R Q 0

= = = cm M = cm =0 cmm cm 0 cm M = MN 8 P MN PQ NPQ cm =8 cm = cm P :P cm 8 cm M P N Q P 0

/8 = cm = = = cm = cm =8 cm cm cm 8cm // //H //H // = cm = cm H ===90 : : H cm cm 0

// M M =90 = 0 cm = cm M : =: 8 cm 8 P QR PQR P Q R 0

~ /0 // +y 8 0 8 y // //M = =8 cm =8 cm MN 8cm M N 8 cm // // +y y 8 // = cm =0 cm cm cm.cm.8cm 8cm cm 0 cm 8 = cm N M cm l//m//n//p y- l m n p y 8 8 0 cm = cm =8 cm = cm =0 cm =8 cm 0

9 M =9 cm M M M M = cm cm cm cm cm cm M cm cm 0 : p cm cm cm 0 cm // PQ M = =80 MPQ M P Q 80 ;@; 00 cm cm // =8 cm = cm 0

// // =0 cm = cm 0 cm cm cm 9 ' ' = cm ' cm ' 8 =0 cm M =QM P =PQ =Q MQPR R P M Q 0 '' '.8 m. m. m.8 m. m '. m 08

9~ / =90 cm 0 cm cm ''' +y 8 ' ' y ' ' ' ' // +y ;; ;; 9 ;; ;; 0 cm P cmq 8cm cm 0 cm y cm ;; ;; = cm = cm =0 cm = cm ;; º;; cm cm cm cm 0 cm ;; ;; cm cm ;; º;; cm =90 -y 9 0 cm cm cm y cm cm cm 8 // // =8 cm = cm : = : + = cm = = cm = cm =0 cm 8cm cm 0 cm cm 09

9 =90 = cm M cmm (0 ) (9 0) y 0 // : =: cm.0_0 cm 8cm cm cm 0cm : :8 : 98 9: : cm cm = MN MN N= cm M N ;00!00; cm m.0_0 0

The first class Premonition ;!; 9 ;#; 8 ; ; ;%; ; ª; 8 8 9 0 8 0 ;9$; 8 8 0 8 9 9 8 0 9 8 0 8 8 9 0 8 0 8 9 0 0 0 0 ;@; ;$; ;#; ;!; ;9!; ;!; ;8#; ;@; ;!; ;!; 8 ;8%; 9 ;9%; ;!; 0 ; ; 8 0 9 0 0 ;!#; ;!$; 8 9 0 ;!; ; ; 9 ; 9; ;!9@; ;!9*; ;#; 8 ;^; ;!; 0 ;!; ;!; ; ; ;@; 0 ;#; 8 ;#; 9 ;!; 0 ;#; ;@; ;!; ;#; ;!; ; 0; ;!; ;!; 8 ; 0; 9 ;!; ;!; ;9!; ; ; ;@; ; 0; ;!; ;!; 8 9 0 ;!#; ;!; ; 0; 8 0 ;!@; 8 ;!; 9 ; ; 0 ;%; ;9$; 0 8 0 8 0 8 0 ; ; ;!; ;@; ;!; ;#%; ;8&; ; 8; ; 0; ; 8; ;8#; ;%; ; 0; ;9@; ;!; ;!; ;%; ;!; ;#; ;!$; ;@9#; ; ; ;ª0; ;@0#; ; ; ;!!; ;!; ;#; 80 90 00 cm 8 cm 9 =y= 0 =90y=

8 0 0 8 8 0 9 0 0 S RH RH cm 8cm 8cm cm 8 cm RHS = = cm RHS 8cm 0 0 8 8 9 0 8 RH I I I = cmy= cm =0 y=0 = y= = 8 = 0 80 8 8 9 cm 0 0 cm cm cm cm cm 8 8 9 0 00 0 80 8 0 9 0 0 cm 0 cm cm cm 0 0. 8 9 0 0 9 8 80 :ª9 :p cm 9 p cm =y= =00y=00 =0y=0 =y=9 =y= 8 =y=8 9 0 cm 0 cm // 8 9 0 SS =0y= 8. cm cm cm 98 cm 8cm cm 0. 80 cm 8 cm 80. cm cm. cm 0 p cm 8cm cm 80 p cm 0 0 0 =y= 8 9 SSS 80 0 =0 y=0 0cm =y=90 =y= 8 9 0 00 8 8 9 cm cm 0 cm cm 0 cm cm cm 8 08 cm cm 90 : :p cm 0 cm cm 8 QP Q Q 0 0 ;; 9 ;;pcm 0 9cm 0 9cm 8 0 cm cm 9p cm. cm 8 0 8cm 0 0 8cm cm = =y= 88 SS 0 0

SSS 0 cm cm cm 8 cm 90 cm 00 cm cm : 0 ;; ;; cm ;; ;; cm 8 8 ;#;pcm cm 8cm 90 cm 8 cm : : cm : : : : cm 0 : ;; ;; cm cm cm ªH ;; ;; cm : : JLI ;(; cm : : ªMN ªKLJ SSS HIªRPQSS ª ª SS ª ª 9 8 9 0 : : : : 8 cm 0 cm 8 : ª: cm 9 8 0 HH : : 9 8 0 cm 9 cm cm 0 cm 90 8 cm 9 cm 0 : 9 :p cm cm 0 cm 8 9 0 0 00 cm cm 00p cm p cm p cm 9cm 9cm ;(; cm : : cm ª. cm 0 0 0. cm : 9 :0 cm =y=;(; 9pcm 9 cm : : cm cm = cm = cm : : cm : : cm : : cm ªSS ªSSS 0 cm cm ;#; cm

cm cm :8 8 cm cm : : cm 8 ;#; cm cm : : cm :9 cm cm : : cm ;@; 8 cm cm cm 9cm ;*; cm : cm 0 cm : : 8 : cm ª 0 cm cm : : cm 8 cm : 9 :.8 cm 8: 8 cm 9 8 9 0 ªª ª cm cm cm ;; ;; cm ;; ;; cm 0 =y= 8 cm 0 cm : : cm 8 cm cm cm cm cm 9cm cm cm 0 cm cm cm cm cm : : cm cm cm cm cm cm 9 : :9 cm ::9 km. km 0 m 9cm 00 ;:!(:); cm 0 : 0 8 =y=: : 9 0 cm : : 0 8 9 : 0 : : cm cm : : cm : : =y= =y= =y=: : 0 cm 8 9 9 cm 0 8 cm cm cm cm =9 cmh =9 cm H = cm = cm cm cm 9cm 8 0 9 0 cm 0 8 8 8 0 9 8 0 8 8 8 cm cm cm cm cm 0 cm cm 8 cm 9 0 0 PQ cm cm cm : :9 : : : ::9 cm ª ª : :) 0 cm :9 8: cm 8 0 m cm 8 m m 90 m. m 0 cm cm cm : 8 cm cm cm 8 : cm ;(; cm 9cm :9: 8 cm 9cm cm 8 9 : : ;(; cm cm 8 9 9cm 0 p cm 80 cm 8 cm. 08 cm : º:cm 8 cm 9. m 9 cm cm 8 cm 9 cm 0 00 m {-;#;0} 0 cm

y +y= -y= =y= 8 0 _= _=9 _=9 +9+9=0 _=8 00 00 0 0 0 _ = _= ;!; ;!;;@; ;!;;#; ;!;;@;;#;;$; ;!;;%; = _= : += _=0 8 (0)(0)()() +++=0 8_ 8 =8 ; 8;=;!; _= 0 _=0 ;!);=;@; ( )=-() =0 =0 -;!0);=;!; -;8!;=;8&; _= a=b= : a=b=: a=b=: a=b=: a=b= : a=b=: +++++= ;!$;=; 8; -;#;-;!;=; 0; ;a;= (ab) ()() ; ;=; 8; : _ = : _ = -; ;=;!%;=;%; ;!;_;!;_;#;=; 0; ; ;+; ;=;!@;=;!; =y=~=y=~ =y=~=y=~ =y=~=y=~ ;#);=;%;

;@;_;#;=; 9; ;%;_;$;=;@9); -{; 9;+;@9);}=;@9#; = + ;!;_;!;=;!; ;!;_;!;_;!;_;!;=; ; ;!;+; ;=; ; ; 0;+; 0;-; 0;=;ª0; ; 0º0;_; 0º0;=;ª0; ; 0º0;_; 0º0;=; ; ;ª0;+; ;=;@0#; ;@;_;@;+;!;_;#;=; ;+; ;=; ; ; 0_; 9;_; 8;=;!; = ( cmcmcm) ( cmcmcm)( cmcmcm) =;#; = 0 0 8 _8= _ = += = _= = =;!; y +y= y=0 () y= ()()() ()() y= ()()() ++=9 =- 0-9- ; 9;=- _ 0 9 (0-)(9-)=0=_ = _ +=0 ++= ; 0;=;#; 8 -;!;-;!;=; ; ; ;_;!;=; ; 9 9 = 9+9+= _= _= -=

9 9_= 9_9=8 9_9=8 9_9=8 8+8+8= a-b> a-b a-b=0 a-b= ()()() ()() ()()()() ()()() ++_+= -; ;=;%; a+b=c= (ab)=() a+b=c= (ab)=()() a+b=c= (ab)=()()() a+b=c= (ab)=()()()() a+b=c= (ab)=()()()()() ++++=9 ; ª; = =-;!; = =-;@; ;!;_;@;_;!;+;!;_{-;@;}_{-;!;}=; ; ;!;_;!;_{-;!;}+{-;!;}_;!;_;!;=;!; ; ;+;!;=;9$; 8 a b a- =;9%; a+b- b- =;!; a+b- a=b=8 8 _= ab _= ab -=8 = _= = =08 _= 0 0 0 _= 0 9 =0 0 _ = _=0 _ = =0 = -z+y=-+0=0 ;!;+;9!;=;!#; -{;@;_;!;_;!;}=-; ;=;!$; 0 ;#;_;#;=;!; ;#;_;#;_;#;_;#;=; ; ;!;+; ;=; ;

; 0;_;9^;=; ; -; ;=; ; _ = + =9 ;#; ;@; ;#;_;@;=; 9; yy ;$; ;#; ;$;_;#;=;!9@; yy + =; 9;+;!9@;=;!9*; yy _= 0 -; ;=;#; _ 8 = yy _ = yy = -( ) =-; ; 8 b=a- (ab) ()() ; ;=; 8; 9 ++=+ ;!; =;!; + = 0 ; ;+;ª;-; ;=;!#; =( )+( ) +( ) =;!;_;!;_;!;+;!;_;@;_;!;+;#;_;!;_;!;=;!; _=8 yy _= yy 8+=0 yy ;@;_; 0;=; ; yy ;#;_; 0;=; ; yy ; ;+; ;=;!@; yy =;^; yy 00 00 0 0 0 0 = =8 = = +8++=0 _ = 8

= ==;!;_(80-0 )= == // = == = == =80 -( + )= =-= - = ==;!;_(80-0 )=0 =80 -(0 +90 )=0 =0 = = = cm =-=90-0 =0 = = cm = + =+=(cm) == == =80 -( + )=0 = ==;!;_(80-0 )= = ==;!;_(80 - )=. = ==;!;_(80 - )=. =80 -(. +. )= =90 :=: =90 _;$;= =90 _;!;=8 = == =90 -=8 ==;!;_(80 - )= =80 -( + )= = = = cm + +( + )+ + =8++8++= cm 9 == == =90-8 = =;!;_(80 - )= =a=b a+b=90 +=90 a+=90 =b ==90 = = RH = = cm = =8 cm = cm =;!;_(+8)_=98(cm ) P P P=P=90 P P =P P PRHS = == RHS ==. =80 -(90 +. )=. RHS = = =8 cm = - =0-8=(cm) = + + = + + = + =+=8(cm) RH SS =a=a a+a=90 a=0 ==80 -(90 +0 )=0 =+=0 +0 =0 RH = = cm = = cm = -_ =[;!;_(+)_]-{;!; }_ =-=(cm ) M MRHS = ==0 M=80 -(90 +0 )=0 = == = =

==;!;_ =. RHS = == RHS ==;!;_ =. =. +90 =. H H RH H = =8 cm =;!;_0_8=80(cm ) I I=I yy // I=I yy I=I I = I = =I +I = + = + + = +( + )+ = + =8+0=8(cm) I I+I=80-0 =0 I=II=I +=I+I)=00 =80-00 =80 ==00 I I I I I =I +I = + =(cm) cm ;!;_(0+)_= =.(cm) = = = =- = =0- = + (0-)+(-)= =8(cm) = =9 cm = =0 cm = = cm + + =_(9+0+)=(cm) M M =M M=M=0 =M+M=80 =p_: :=p(cm) ==0 ==0 =;!;_(80-80 -0 )=0 =80 _;9$;=80 ==0 ==;!;_(80-00 )=0 I =;!;_(80-0 )= I=;!;=;!;_ =. I=-I=0 -. =. r cm =I+I+I ;!; =;!; r+;!; r+;!; r r=(cm) = = = =9- = =8- = + (9-)+(8-)==0 =(cm) =;!;_0_=(cm ) =- =0- =(cm ) =p_{;%;} =: :p(cm ) == == ==;!;_(80-0 - )= =80 - = =80 -( + )=0 y=0 + = -y=0 - = 0

++=0 =0 _; 8;=00 =;!;=0 ª(SS ) = ==0 = +0 =0 =0 = ==0 =0 = = =0 =0 =0 +0 =0 == M =LM MN =M LM== NM== ML=MN=80 -( + )=0 LMN=80 -(0 +0 )=0 LMN =p_ _; º0;=;; 9 ;;p(cm ) = =0 ==0 = = ==a==b +=b+a=0 =0 =;!;_0_=0(cm ) ==a==b +=(a+b)=8-0=8(cm ) =+=a+b=9(cm ) ==a==b a+b=00 a+b=0 =80 +a=80 +b +=0 +a+b +=0 +0 =0 I = = cm = = cm = =y cm =+y=8 =I+I+I =;!;_ _+;!;_ _+;!;_ _ =;!;_(+y+)=9(cm ) 8 =80 -(90 + )= P=8 ==_ =08 P =P+P =8 +08 = M MH MH=90-0 =0 M M =M =0 = = ==(80-0 )_;!;=0 =0 = = = = =0 (RH ) = = cm =;!; = =(cm) = yy +=90 +=90 = yy = yy = = = cm =0 =0 = = ( ) = =0 = = =(cm) p_ =9p(cm ) = I=I=a ==90-a I'=I'=b =b 0 +b=80 a+(90-a)+. +=80 =. cm b=. = =cm = = =(8-)+(0-) =

P =P Q =Q (PQ )=P +P +Q +Q (PQ )=P +P +Q +Q =(cm) 8 =80 =80 _=0 =0 =0 I=0 I=I-=0-0 =0 = = = SS = =80 -( + )= = ==== =80 +==00 = RHS = = = cm =8 cm = + + = + + = + =0(cm) == RHS ==. =. +90 =. = =y =z =;!; +;!;_y_+;!;_z_ = ==;!;_(80-0 )= yy SS ==a==b a+b=80 - =0 yy ++=+b+a=80 = yy I I=I=aI=I=b a+b=0 a+b= yy +=a+0 +b+0 =9 y 8 = == M =LM MN =M LM== NM== yy ML=MN=80 -( + )=0 LMN=80 -(0 +0 )=80 yy LMN =p_ _; º0;=:ª9 :p(cm ) yy 9 cm S =p_ =p(cm ) yy r cm =;!; 8 =;!;_r_(0+8+)=r I cm S =p_ =p(cm ) S -S =p-p=p(cm ) r=(cm) yy yy =;#;(+y+z)=;#;_=9(cm ) == ==+ +(+ )+(+ )=80 = = ==90 = RH = = cm = = cm = - =-=(cm) = = == +=0 +=0 =0 -(0 +0 )=0 = = cm = = = S = = cm = + =+=0(cm) // = =80 - =08

==;!;_08 = =80 - = == = =8 cm == = =8 cm = + - =8+8-=(cm) = + + =++=(cm) +=80 // = S = = = + = + = = =8(cm) ==+=80 ==80 _;9%;=00 P=P=0 P=80 -P=80-0 =0 ==0 ==0 ==0 ==0 =;!;_0 =0 H=0 +0 =0 Q Q =Q = cm Q PQS Q =QP P = = cmq =QP = cmp Q +Q =+=8(cm) P+P=P+P=;!; +P= P=(cm ) =90 = = y=80-90-= H ==80-8 = =80-0 - =88 = =0 - = = // = =;!;=;!;_90 =0 =80 -(0 +0 )=0 ==a // ==a +=a+a+ =80 a= // == SS =80 - - =0 =80-0 -0 =0 = = = =H =;!; =;!; = =H H P //Q P=PQ PM=PM+P=PM+PQ PM=PMQ= cm PQ M =QM PM=PMQ= cm PQ=PM+PMQ=0(cm ) = : =: =_;@;=8(cm )= : = : := : 8 =(cm ) =+=+8=(cm ) = =+

=++ =(=) =+ =8+ =(cm ) H H=;!; =8(cm ) : =: =0 cm // ==0 cm =+ =0+0=90(cm ) =- =-= : =0 : =0(cm ) ==0 cm =+=0+0=00(cm ) ==;!;=0 cm // = = =;8#;=(cm ) MN N NM=NM+MN NM=NM+N NM=NM NM=;!; NM=;!;_0_=(cm ) N=;!;NM=;; ;;(cm ) = a+=a-8 a= = _+=+b b=;$; = _+=_-c c= a+b+c=+;$;+=;; ;; cm M=N=;!;=;!;_=8(cm ) MN=;8!;=;8!;_=(cm ) 0 cm M N MN =-(M+N+MN) =-(8+8+)=(cm ) = = = ==90 = = = ==80 - -0 =8 t // =t =(t-) // = t=(t-) t=8 // = // = - =- = == 8 // = = =p_ _;!;=;#;p(cm ) = // H =H //H PQ P //Q Q //P = = = SS = = = SS = = _(+)=(cm) cm 0

(S ) = = = = += = +=90 H=H=90 =H=H=90 H H = =8 cm = == (S ) H =H =H=H H(S ) = = = = = // = HP=90 // == // = == cm (S ) ==;!;=;!;_=(cm ) =-=-=(cm ) 8 : = : 0 : = : =(cm ) // = =+=+ ==(cm ) =y=;%;z=80-0=0 z--y=0--;%;=: : ===80 - = ==80 - - =8 H // H = H P // Q yy // = Q // P yy PQ ===0 cm = = =90 8 P QS PQ=;!; PQ=;!; PQ=: ª:(cm ) 9 ==80 - = =80-8 - =8 0 =+ =+ =+8=(cm ) P :PM =: PM=P M=P M =M M=M =8P 80=8P P=0(cm ) PM=P=_0=0(cm ) Q // P PQ P =Q Q P =(+)Q =9 (+)=9 =0 ==y=;!;_(80 - )= yy ==80-90 - = yy +y= + +y=90 yy 8 == 0 yy = =8 cm =-8=8(cm) yy + =8+8 + =(cm) yy P Q H

9 // = =0 cm yy = = cm = + =0+=(cm) 0 // = = yy =p_ _;9!;=: 9 :p(cm )y 0 cm yy yy cm = = SS = // // = == = + = + = =(cm) =(cm) =I =I + + = + + + =+8++ =0(cm) P== P =80-90 - =8 9 SS =80-0 =0 ==90-0 =0 : = : : = : = cm = =-=- ==(cm ) : = : : = : =(cm ) =+++=00(cm ) =-=-0=(cm ) == cm 0 cm 0 0 cm 0 0 =p_0 =00p(cm ) rcm =;!;_r_( + + ) ;!; =;!;_r_8 =p_ =p(cm ) 00p+p=p(cm ) M=;!;=;!;_;!; M=;!;_=9(cm ) N=;!;=;!;_;!; N=;!;_=9(cm ) yy r=(cm) yy yy yy MN=;8!;=;8!;_=;(;(cm )yy MN =-(M+N+MN) =-{9+9+;(;} =: :(cm ) yy

:= :. =.(cm) :=h : h=9(cm) :=(+) : 0 =9 : = : =: ++= + +=80 ==0 : = : (+)= : : =: : =: =(cm) : = :Ú (+) :=: = : = :Ú : = : y y=;(; : rcm : =9 : r r=(cm) p_ =9p(cm ) ªª : =(+) : = : =(+y) : y= +y=9 ª : = : (+) : 8=8 : =(cm) ªSS : = : 9:= : =: :(cm) ªSS : = : := : 8 =(cm) ª : =: =;!; =;!;_=(cm) =;@; =;@;_=(cm) ª = + = + =(cm) =-=0(cm) : = : 8:0=: =: :(cm) ==90 ª = - =-=(cm) : = : :=: =: :(cm) = - =-: :=: :(cm) =_ =;(;(cm) =_{+;(;} =(cm) =;(;_{+;(;} =: :(cm) + =+;; ;;=: :(cm) ª : = : 8 : = :8 =(cm) = =+=0(cm) ª : = : =:: =: =(cm) ª : = : : = : =;; ;;(cm) = - =;; ;;-=;#;(cm) = ª( ) : =:=: : : = :Ú =: = cm = cm = - =-=9(cm) = : = : =: =;!; =;!;_9=(cm) cm

=(-)cm // : = : (-) : = : =(cm) _=(cm) =+=+= =+=+= ª : = :Ú =: P S T QS =apt =a PTªS P : =PT :S =: Q =S -QS =9a-a=8a Q 8a = =8 QS a ===;!;=(cm ) P=;!;=(cm ) Q=;!;=(cm ) PQª : PQ : = : =: PQ=;!;=8(cm ) PQ=-(P+PQ+Q) PQ=-(+8+)=(cm ) ªM :M =: : : =: = :M =: =M =M :M =: M =(cm) = = cm cm 0 0 ª : = : : = : =: :(cm) 8 ª : = : =: ª : = : =: : = : =;#;(cm) ª : = : 9 : = : =(cm) =+=(cm) ª( ) cm : = : (-) : = : 0 =;; ;;(cm) ;; ;; cm M PR PM =;!; =(cm) RM =PR -PM =- RM =9(cm) PMªRM M :M =PM :RM =:9 ==0 +=+=0 = ª : = : =: =9-=(cm) = cm S = = + =(cm) ª : = : : 0= :0 =(cm) = - =0-=(cm) = = ==0 SS y = cm = == ª : = : :=9: =: :(cm) M =;$; =;$;_;!; =;@; cm cmp M 0 cm 0 cm R 8

M = -M = -;@; =;#; MªM M :M =M :M =: M M =;@; 8 : =: : =: : : =::.= :: : = : ( +)= : 9 =(cm) : = : :9=: =8(cm) - =(cm) =_(+)= y =_= z =_(+)= :=: =;; ;;(cm) 8 ª : 8= : 0 0 =8_ =;(; =;; ;;(cm) y =;(;_{;(;+8} y=;; ;; +y=;(;+;; ;;= º > º(ab) {b;!;a} {;!;a;!;b} {;!;b;!;a} {;!;a;!;b} º: =: M =M =M = cmm = cm =HM _HM =;(; cm H =-;(;=;; ;;(cm) ªª ª ª :=: =8(cm) =8-=(cm) ª yy yy : = : 8 =(cm) yy =;!;_(+8)_0=(cm ) P PS P =P PQ PQ QP=QP=90 PQ P =P PQ PQRHS Q =Q = cm yy yy 9 PQª Q : =PQ : : 8=PQ : PQ =;; ;;(cm) yy ª yy : 8= : =;; ;;(cm) yy M N NªM N :M = : NªM N :M =: N :M =: N :M = : :=8: = = - =-8=(cm) // : = : : = : =9(cm) // : = : : = : =8(cm) = - =8-9=9(cm) : = : : =9:=: ª : = : : = : =;*;(cm) : = : 8 : 0= : (- ) =: :(cm) I :I = : =8 : : : I :I =: : = : : 8=(0- ) : : = : : 8=(0+ ) : : = : : = : : = : =:9=: ª : =9:=: : = : 8 // = = =(cm) =0(cm) =: 8 :(cm)

ª : = : =:8=: =;$;=;$;_=0(cm ) : = : :0=: =(cm) : = : =:=: =;@; =;@;_=(cm) ª : = : =:0=: // : = : =8: 0: =8 : : =8: =: :(cm) =: :(cm) =: :(cm) + + =;!;( + + )=8(cm) : =: P : =: P : : =:: P :P =: +=_ = y : (y+)= : y= +y=+=9 PQRS PQ +QR +RS +SP =+++=8(cm) Qª : =: Q : 8= : Q =(cm) Pª : =: P : = : P =(cm) PQ =Q -P =-=0(cm) ª : = : =: ª : = : =:8 ªM : = :M (+ ) : = : =: :(cm) SSS ==_=8(cm ) =;!; =;!; : =: : 9= : 0 =(cm) ª : = : =;!; =;!;_8=(cm) S = =(cm) = =(cm) = =(cm) = + =+=9(cm) = cm + =9+=(cm) : =: :Q =: :Q =:P :PQ =: Q :Q =:Q :QP :P =:: PQ =; 0; =; 0;_0=(cm) =;!;_=(cm) =;!;_=(cm) = + + =++0=(cm) =;#; =;#;_=8(cm) =;!; =;!;_8=9(cm) = + =;!; +;!; =;!; =;!;_8=9(cm) ' : = : =: ' : 9= : ' =(cm) // H H =;!; =;@; H = -H =;@; -;!; =;!; H =;!;_=(cm) =;!; =0_;!;=(cm) +H =+=0(cm) =;!;=;!;_=(cm ) M=;!;=;!;_=(cm ) = = H H

H=;!;=; ; =;!;=; ; H=H+ H=;!;=;!;_8=(cm ) MN M=;!;=; ;_=(cm ) N=;!;=; ;_=(cm ) M+N=+=(cm ) H H =H H =;!; =;!;_=(cm) H : = :H : = : =(cm) = : = : =: H :H :M =:: H =;!;_=: :(cm) =;!;=;!;_=(cm ) P=;!;=;!;_=(cm ) P=;!;PQ=;!;_8=(cm ) Q=;!;PQ=;!;_8=(cm ) PM=P=8(cm ) QN=Q=8(cm ) =8+8=(cm ) P Q P =PQ =Q =;!; =(cm) MN =;!; =;!;_=(cm) M M =M =M =(cm) M =;!;M =;!;_=(cm) P P :P M =: M=;#;P=;#;_=: :(cm ) MN=M=_: :=(cm ) (+ ) :9=: =(cm) : : =:8: P : P : P = : (8-) : (-8)= ::9 : 0000 : 0000 _=(cm ) cm : = : 0000 =0000000000(cm ) km : 00000= : 0000 cm : 0000=. : =0000(cm). km hm : h= : (0+0) h=0(m) ª : =: : =: : = : =08(cm ) ª : =: : =: : = : =;!;=;!;_;!;_08=9(cm ) ak b:a=k:hbh=ak h= b : 8: 8 : =800 : =00 : =: : =8: : =(-8) : =9 : (cm ) 90 =90_;!(;= (cm ) : : =8: cm 8 : = : =;!; 0 ª : =: : =: 0 : (-)= : =00000_=00000(cm)=(km) =_=90(km) =;(0);=. 0

: = : =(cm ) ==a cm =(a+) cm : = : =a cm = a+8=a a=8 =+8=0(cm ) =;!;=;!;_=8(cm ) =;!;=;!;_=8(cm ) +=8+8=(cm ) abc a b a : b=(b-a) : (c-b) b -ab=ac-ab b =ac a c =9_==b =(b ) = b = cm Q P S P =ap =aps :S =: PS =a_;@;=a SQ R :RQ =P :PS =a:a=: ª : =: : = : =:9 : = : (9-) := : 8 =(cm ) : = : =8(cm ) : =Q :Q =: Q =;!; N =;!; NQ =N -Q =;!; MN // NPQªQ NQ :Q =;!; : ;!;= : NPQ : Q= : =: NPQ= cm Q=8(cm ) Q :Q =: :Q =: : Q= : =(cm ) S = = cm = - =0-=(cm) = M =;!; =_;!;=(cm) 8 = = - =-8=(cm) = = - =-8=(cm) = - - =--=(cm) PªP : =P :P =:=: =;!; =;!; =; ;=; ;_=(cm ) ª : : =: ªH : :H = : : :H =:: : : =:: : =H :H =: : :H :H =8:::9 :H =:9 H =;(;(cm) = : = : =: ª(SS ) : : = : =9(cm) ª : =:0=: ª : =:=: : : = : : =:9: S ª : =: : 0= : =(cm ) =;!;=;!;(+) =;!;=;!;(+0)=(cm ) =-=0-=8(cm ) ª : =: : = : =: ª : =: : =: : =: : = : =9: : 8=9 : =(cm ) =;!;=;!;_=9(cm )

M =(cm ) = = ==(cm ) =+=+=(cm ) 8 R : = : PQRª : PQR : =:9 PQR 9 // N N =;!; =(cm) M =;!; =9(cm) MN =M -N =9-=(cm) =;!;( + )=;!;_=8(cm) 9 : =: ==8(cm ) ==8 cm M=;!;=9(cm ) : =8: (-8) : = : 00 =8(cm ) M M S =M =;!; =(cm) PM== MQ==80 PMQ=PM+MQ PMQ= +(80-80 )= = PM =;!; MQ =;!; PM =QM PMQ MPQ=;!;_(80 - )=. ª : = : =: : =: yy ª : = : = yy P =PQ =Q Q=;@;_0=0(cm ) Q R MQPR=;; º;;(cm ) yy yy 8 ' =' = =_= yy +==(cm) ' ==(cm) yy 9 '' =' ª'' y : ' = : ''.8 : (.8+.)=. : '' '' =.(m) 0 =(+ ) =9(cm) _0= _ =(cm) =;!; =9(cm ) ª : = : :=8: = cm =;!;_=(cm) yy ª : = : ( +) =(cm) + =+=(cm) 8 ª : = : : = :0 =(cm) : = : : = : =(cm) =9- : = : : 0=(9-) : =(cm) :( - )= : (-)= : 98 : 0000= : =0000 (cm) 00 m () (9) y=;@;+ yy y=;@;+ ;@;+=0 =-;#; {-;#;0} yy //M N =N=N ªN : = : =: N :N =: N =;!; =;!; =;#; N =N - =;!; -;!; =;!; :N =: =N : =: : = : = =+ =+= N=N=_=0(cm ) yy yy yy

MM

MM

MM