10 평가지해설Ⅰ(001~009)-OK

Transcription

1 0 0., p. 8 0., -0.8, 0.8, 0., 8 =0. =0. 8 =0. 0 =0.8=0.8H =0.00=0.H0H 0, 0.HH0,.H,.HH HH0..HH =0.HH 99 p , 0.8H 0.00, 0.H0H 0 a (a, b b b+0 ) p=.9 Q-Z - =- Q-Z p. 0 _ 8 = = 9 = 0 _ = 8 9 = =0. = 8=0. = 9=0. = =0.8 9 =0.H 0=. =0. - 9= = = 9 = H= = = =0. 00

2 8 8 p. 0 -, 0, = p, 0. 9 = = = = _ = = 00 _ _ 0 0.=.HH =0.HH8 8 00=_+ 00 n n = n _= 8 n =0.HH=0. 000=. 0= = 8 = = HH= = 99-0.H= = = H9= = = =0.H - 0.H= = = = = H= = 0.H a= 9-0.H= = = 0.H b= ab=_= ,,, 0.00H 99 p. ~ _ = = = =0.0 0 _ 000 _ 8 8 = _ = _ _ = = _ = = _a 0 a a = _ _ = _ _9 _ = _ _ _ a a (= ), 8(= ), 0(=_), (=_) =0.H0H= = =0 00

3 0 0 = H= = =0.H09H 09 0=_+ 0 ( )_+=_+=.HH 0-=9=_+ 0 =.=.H - = 90 0 = = 90 0.H= < <, 9, 9 9 < < <<,,, - 0.0H= = = 900 = =0.00H H= = = = a a 9 _ a = = = =,, H, 8 0.0HH H 8 8 p. ~ n n n n =, = n _= n,, 99 = 0 _ _ =_9_= 9 = = = 0 0 -=-=0 9 =+0.H = = - = = =0.H , 9,,,,, 999, 9,,,, 999 a 8 a a < <, < < <a< 8= _ a a,,

4 8 9 0 = a _a a a,, 8, 0, = = ( ) = _0.000 = _0.H0H = _ 99 = =0.0HH 0.0=0.0HH= = = = HH= 0.H0H= _ = = =+= -.H= = H8= = = =0.=0.H = - =000-80=0 0.0 p. 0. cm =0._ =0.0 cm =_ =0.(cm) g < g 0 g =0_ =(g) 0- <0+ g < g cm 0 m a<0 m 0.0 kg a<0.0 kg p. = - =00-9 =-9-0.=8- =8+0.=8. =0.0_ =

5 0 00 cm =00_ =0(cm) =00_ =0(m) 00-0 a< m a<0 m =0.00_ =0.000(kg) a< kg a<0.0 kg. a<..-. = =0.,, 0, 0,, 0,, 0, 0, 0._0 p. 8, 00=._0,, 0 0 cm =0_ =(cm),, 0 mg =_ =0.(mg),, 0 000=.0_ _0 =.,,, =0._ = < < g <0 g , a< p. 0~,.0_0,,, 0.0. <. 00 g p ,, 0.0 L =0.0_ =0.00(L), 0, 0. km =0._ =0.0(km)=0(m) =0.-0.H= - = = = 0 0 = - = - =00-(-0)=0 - g -0. g 0. g 0. g g 9.8 g =_ =0._ =0.(kg)=00(g) =0.0(L) 00

6 =_ =0. =0.0_ =0.00 =0._ =0.0(m)=(cm) _ =0. 0 =00_ =0 =0._ = =0_ =(g) 00- <00+ 9 g <0 g =_ = <8+0.. <8..._0 =0,, =0_ = 0- a<0+ a< 0. m 0.0 m 0 m m 00 m a-. = =0.(mm) a-.= a=.(mm),, 0,, =0_ = 0- <0+ < 0 0 0, 0,, 0 000=.00_0.0_ =0.00,, 0 0.0_0=0., 0, =0._ =0.0.0_0 =0.,, 0, =0._ =0.0.0_0 =.0,,, 0 =0._ =0.0.0_ =0.0, 0 0 L.0_0 km _0fi km H.9_0fl cm <00 cm.-0. = =.(L) =_ =._=(L) p. ~.9.0_0 km _0fi km.0_ =

7 8 9 =0.000._ = = = = =0._ = < <.,,,,, (a, b) 0 0.H8= =0.9-0.H8 9 = = 900 = =0.00H , 9 0.9_0fl _{- }=8900_ = = =990 _]+0 _0.8]-0 _.] =_0.+0 _0.0-0 _0.00 =+-= =0._ =0.0(cm).-0.0 < cm <. cm 0000._0000 <._ cm <00 cm Part 8 8,,.8H 0. % 9. % <0. % 8 <8 Part 0.H8H <0..8_0 Part p. ~ - 9.H= = = H= = = =.8=.8H =_ =0.(%) 0-0. < % <0. % 0.9_00 <0.0_00 8 <8 Part =0.88=0.H8H 8 00=_+ 00 =9 _ _ 00

8 9 8 8._ =0., 0 =0.0_ = < < =.8_ , , 0.0 <0.0 p. ~ = = 8 _ = = 0 _ 8 = _ _ _ = 8,, - 0.H= = = a= H8= = = H8= = b b _ = = _ = a 9 a 9 9 a=, b= a-b=-=-8 _ =+ =+0.HH=.HH 99 0 g =0_ =(g) A 8 =0.8- = = = = =0.HH0 0=_0 0 0a=0 =_+ b= a+b=0+= = _ = _ =0_=00 =0._ =0.0(cm) 008

9 .-0.0 < cm <. cm a=., b=. b-a=.-.=0..0 cm 0._ =0.0(cm) cm _ =0.(cm).0 cm.0 cm.0 cm < cm <.0 cm cm -0. <+0.. cm <. cm.0 cm 0. cm, cm cm _ =0.00 0,, 0 =0.000_ = a< a<0.00 =0.H8H = =0.HH = -=-= =0_ =, 0,,, 0, 0,,, 0, 0, 0, 00 g 000 g,, 0000=.0_0 (g)._0 =0(cm), =0_ =(cm).8_0 =8(cm),, 8 =_ =0.(cm).0_0 =0(cm),, 0 =_ =0.(cm) 8_0=80(mm) 8 =0_ =(mm)=0.(cm) _ =0.0(m) 0 =0.0_ =0.00(m)=0.(cm) 0. kg=00 g 900 g, 9 =, = _ 0 a a a a a._ =0.0, 0 =0.00_ = < <

10 0 p. 0 a =( _)_ = ± _ = ± = (-afi ) _(aμ ) =a _a μ =a ± μ a ± μ =na 0+m=9 m=, n= ( )μ _(«) _( )fi = μ _ «_ fi = μ ± fi «μ ± fi «= m+= m= n= n= a (fi ) _ =fi _ _ = ± = 0 a ( )fi ( ) = _ fi _ = fi fl = = fl fi -8afl b ( ) { _ } = = = 9 ( ) _ fl 9 fl fi 8 m=, n= m=, n= ± = _ = =9 p. 0a b 80 a _ab =(_)_(a _a)_b =0a b (- ) _fi =fl _fi =80 -a b p. fi 9a b 9a b (-ab)= =-a b -ab ( ) = fl _ =fi a 8 _(-) =_9 _ =8 fi +fi =_fi =_( )fi =_ = = =(fi ) = =( )fi =fi å = å = 9-a-=, a= a= p. - - b ={ } fl _ fl = fl _8fl = å fl = ç = b= =ç b=c, c= å =fl a=, a= a+b+c=++=8 A, B (ab) (aå b) =8a b a _ b Å b = Ba a a _ Å = _A-= a A= 00

11 b 8b b 8b b = = B= B b B += =afl b (-8a b ) ab =-a b (- ) (- ) _ =8 (- fl )_ =8 - _ =8 =8_{- }=- fi (- )_Ç =fi Ç - =-0 ±Ç -0 ±Ç =Aı A=-0, B=, C= A+B+C=-0++=- p_(a) =pa = =pa b pa =b p. ~ (a ) _a=a zfl z =z ( ) ( ) = z { } (z ) = = fi å fi å 8z fi å (fi ) (å ) 8z 8z = ç b=8 b=, c= a=b a=, a= a+b+c=++= 8fi å =( )fi ( )å = å = å å = 0-a=8, -a=- a= 8_9_0 = (_) _ _(_) ( _) = _fi _ _ _ =å _ _ç _ _ a=0, b=, c=, d=, e= a+b+c+d+e=0++++=9 8 =( ) = =( ) =A _fl = _fl _fl = _(_)fl =_0fl = n= fl ( ) =fl = a= fi 9 =fi ( ) =fi = b= a+b=+= (a_a ) a =a _ a = a _ = a a -_ =, -_ =- = fi _ = a _ a ? (0 ) 0 = 0fl =0 fl =0 n= ={ } = = 0 ( ) (a b) (ab)fi =a _ b afi bfi = a _ b afi bfi a a = _ - = b - b _ -=, - = =?0 0

12 (- ) _() =(-8fl )_ =- fi = (- ) -fi = =- - =-å a=, b= a-b=-= h a _b_h=a b, a bh=a b a b h= =a a b (- )å =(-)å å =- a=, ab= b= (a b ) 8a b _{- ab} =afl b 8a b afl b = a=, b= afl b fl _ fl _fl = = =fi _fl (-9 ) (-9 ) =- _ =- a b a b c a b cfl =- a bfi c _ a b c =- a bfi c = a b c _{- a bfi c } =- ab cfi a b c _{ ab c } =- a bfi c V =p_(ab ) _a b =8pafi b V =p_(a b ) _ab =pa b V pa b = = a b V 8pafi b fl +fl +fl fl +fl +fl +fl fl +fl _fl _fl _ = _ _fl = _ = = = = = 8 =a =a =a =(fl ) =fl =( )fl =(a)fl =fl afl =afl ( ) (- fi )_ =- - fi = = - - ab cfi a b b 9 afl « a ab p. ~ ( _ _Ω ) = _ _Ω = _ _ w=, w=8, zw= w, 8, w= =, =, z= ++z-w=++-= _ _= _ _ _ =( _ )_( _) =(_) _8=0 _ n+ _ n- _9 n = n+ _ (n-) _ n b a = n++n-+n = 9n- b a {- } ] ] ={- } = b a A_{- a b }=afi b A=afi b {- a b } =afi b _{- }=-a b a b 9 -a b {- a b }=-a b_{- }= a b ab (- Å ) 9ı _ =-fl Å 9ı _ =-8 ı Å -8 ı Å =C A= A= 0-B= B=8, C=-8 A+B+C=+8+(-8)=-9 0

13 0 = --( +)_ = ---0 = -0-0 p. 8 0a-b a-b a+b a -a - A A+{ - +}=- + - A=- + --{ - +} = p. 9 0 p a -b (-9)-(8-8) - = = -- = =a+b a=-, b=- a+b=- +{- }=- = =(+) -= -_= p. a=, b= ( --9)-( +-) = =- -+ = = (-)+(-)(-) = = =- + a=-, b= a+b=-+= = -+-( +-) = (+)(-+a)=- +(a-)+a - +(a-)+a=-b +9 b=, a=9 a= - ( - ) (-)= - = =- + =-, = - + =-(-) + =-+9= (+-)(-+)=(+-){-(-)} -=A (+A)(-A)= -A = -(-) = -(9-0+) =

14 0 0 =(00+) =00 +_00_+ = =08 9_0=(00-)_(00+)=00 - =0000-9= =(000-) =000 -_000_+ = = _9.0=(9+0.0)(9+0.0) =9 +( )_9+0.0_0.0 = =8.90 a+b=, a +b =0 (a+b) =a +ab+b =0+ab ab=- ab=- a b a +b 0 + = = =- 0 b a ab _- = = = =-- =-- =-- = (--)++=+++ =+ - = = + + = = =(_+_+_) =(+)=+0 0=- - = = a+b p. = + b=a- =- + h= V pr = - 0 =+ -+ -(+)+=--+ =-- = =(+)-+ =0+-+ =9+9 A-(A-B)=A-A+B=-A+B A=-, B=+ -A+B=-(-)+(+) =-+++=+ = = p = - = = - =a+b a=, b=- a+b= +{- }=- =- -+-{+-(-)}] =-{+-(+-+)} =-{+-(-+)} =-(++-) =-(-) =-+ =-+ =- + -(8 - )_ =- + -( -9 ) = =- + p. ~ h= S a+b 0

15 a 9+a= a=- + +ab ++ab=, -b= b= a+b=-+=- (+) = ++ (-) = -+ (-+) =(-) (--) =(+) (-) +(+)(-)-+ = = -=a +b+c a=, b=-, c=0 a+b+c=+(-)+0=-8 (a+b-)(a-b+)=(a+b-){a-(b-)} b-=a (a+a)(a-a)=a -A =a -(b-) =a -(b -b+) =a -b +b- (-)(+)( +)( +) =( -)( +)( +) =( -)( +) = -= - =8 98_0=(00-)_(00+) =00 - =0000- =999 (a-b) =a +b -ab =8-ab, =8-ab, ab= ab= +0 -+=0 -+ =0 + = {+ } =, + += + = + + = = += ++ (+)+ = -+ (+)- + = - = =- - (+) (-)= +=- =- =- (-) + (-+) + (+) p. ~ 0000Y a +9a 0 a= -00 (00-b)X 0 (0a+) cm 8 a -ab 9-0 p r = = S S b= -a h= h a+b ab ab f= f= a+b b-a S=(a+b+a+b)h=(a+b)h h= S a+b =(a +a) -_{ _a _a} =a +a +9a -a =a +9a (+)( +)( +)( +)( fl +) =(-)(+)( +)( +)( +)( fl +) =( -)( +)( +)( +)( fl +) =( -)( +)( +)( fl +) =( -)( +)( fl +) =( fl -)( fl +) = - -=«- n= 8 0

16 ab+bc+ca + + = = a b c abc ab+bc+ca=abc (a-)(b-)(c-) =(ab-a-b+)(c-) =abc-(ab+bc+ca)+(a+b+c)- =abc-abc+(a+b+c)- =(a+b+c)-=-=0 X a% a =X{+ } 00 b% Y a b Y=X{+ }{- } a a 00-b Y {+ }_ = X a 00Y a 00Y + =, = - 00 (00-b)X 00 (00-b)X 0000Y a= -00 (00-b)X =(a-b)a b+=a b-a b + a b-a b +=A_ab+ a b-a b A= =a -ab ab + = =, =-(+) +(+)+ -+ +(+)+ = ++ -(+)+ +0 = -- (+) = =- -(+) S=pr,V= pr S 9V=(pr ) {9_ pr } =8p rfl pr = p r 0,,,,, m=k m =(k) =_k m=k+ m =(k+) =(k +k)+ m=k+ m =(k+) =(k +k)+ m=k+ m =(k+) =(k +k+)+ m=k+ m =(k+) =(k +8k+)+ m=k+ m =(k+) =(k +0k+)+ m 0,,, n 0, m +n 0,,,,, A={0,,,,, } n(a)= (a+b)(c+d)=ac+bc+ad+bd =ac+++bd= ac+bd+= ac+bd=0 =a_a_=a (cm ) =(a+)_(a+)_ =(a +a+)=a +0a+(cm ) a +0a+-a =0a+(cm ) Part fi V=ab-8a-8b+ a= V+8b- b-8 Part S 0 h= -r pr Part p. 8~9 _= _= _= _=fi = = = 0

17 V=(a-)(b-) =ab-8a-8b+ V=ab-8a-8b+ V=a(b-8)-8b+ a(b-8)=v+8b- V+8b- a= b-8 h p. 0~ Part V a, b a V, b fl å =, ( )fl (fl )å =( ) fl å =fl -a= -a=-8 a= a a h= a b 0 9 = - 00 = = ( )fl = = = = _ = ± = - () 9=9 _ = 9 A-( -+)= -+ A= -++( -+) = -8+ A+( -+)= -8++( -+) = =0 -+ =0 + = + = {+ } =, ++ =9 + = ++ + = + ++ =+=0 l S=pr +prh prh=s-pr S h= -r pr (ab ) =a b b bfl a a (-a) =a a a 8 {- } = {- } =- = _ =( _ ) =( ) _( ) = _ =, =9 +=+9= (-)«_(-)«± _(-) «=(-) «± _(-) «=(-) «n n (-) «= _ =_ =(_)_( _ )=0fi ( ) _(- ) =9 _(-8 fl ) =9_(-8)_( _ )_fl =- fl (- ) _= _ =_( _)_( _) =fi =fl _ _{- }=- 8 0

18 -fi (-fi )_(- ) =- _(-8 fl )=- =(- )_(-fi )_ = =- -8 fl -8 fl = = = = ;#; ;#;+ + = ;#;- 8 ( -+)-( -+) =( -9+)-( -+8) = =- -+ ;#; ;%; = + = += ;!; =(9 -)_ =-+9-- =-+8=A+B A=-, B=8 A+B= + (-a b+ ) (-a )=ab-b -a b+ =(ab-b )_(-a ) -a b+ =-a b+a b =a b -8+9= A=, B= A+B=+= =(a+b)(a-b) =(a) -(b) =a -9b (+)(-)=8 +- =A +B+C A=8, B=, C=- A+B+C=8++(-)=- (a+b) =a +b +ab =0+ab, ab= ab= a b a +b 0 + = = b a ab (A-B)-(A-B)=A-B-A+B =-A-B =-(-)-(+) =-+8-- = S= ab S= h abh = _ a bfi ={ _ab_b }_h a bfi =9ab h h= a b 9 + -=(+) - = -_(-) =+= ++-=-, =- = - + _9 + =8 - + _ (+) = (-) (+)+(+)=(-) +=- = =00 009_0+ (-)(+)+ = 00 ( -)+ = = = =00 08

19 0 p. (, ), (, ), (, ), (, ) (, ), (, ), (, ) p. 0+9=9 - (, ), (, ), (, ) (, ), (, ), (, ), (, ), (, ), (, ) (, ), (, ), (, ), --=0 = += =,,, (, ), (, ), (, ) -= =,,, (, ), (, ), (, ), +=0 =,,, - -, =9 k 0+9=9 (, ), (, ), (, ) -= =,,, -;!; ;%; (, ), (, ), (, ), : : =, =- _+(-)= -(-)=+- +(-)+=+0 -_(-)= _-(-)=+ =, = a-=- a-=-, a=-9 a=- =, = +a-=0 +a-=0, a=- a=- --=0 = 0 p. a=, b= =, = +=a a=, b= -=b (, ), += (, ), (, ), (, ), (, ), (, ) +=0 (, ), (, ), (, ) (, ) 09

20 -,,,, (, ) (, ) 0 p. 8 p., A;B += -=-+ += -+= -=-+ +=8 -=-+ -+= += +-=0 =, = =, =- a+= a-=, a= a= =, =- -b= +b= b= a+b=+= = -= 8-=, -=- = =, = =, = +a= +a= a=-, -= (, ), (, ), (, ), (, ), += (, ), (, ) (, ), +=9 (, ), (, ), (, ), (, ) -= (, ), (, ), (, 9), (, ), (, ) =, = =, =- +=8 -= + = = = +=8, = = =, = -= +=- _ +8=- - -= =- =- -=- = =, =- =-, =- =, =- = -= -=, -= =- =- =- =-, =- =-+ -=0 (-+)-=0, -+-=0 -= =- =- = =, =- =, = =, = =. ;{;-;};= 0 -= -= - =8 = = 0-=, -=- = =, = -= += + =0 = 00

21 = -=, -= =- =, =- (, -) (-, ) (-, -) (-, -) (, ) (, ) (, ) (, ) p. 9 _ -= -= - _ -=0 +=- _- -= =- =- +=0 = (, -) += -=- _+ _ =- =- =- -+=, = = (-, ) =+ -+= -(+) +=, --+= -= =- =- =-8+=- (-, -) =- -= -(-)=, -+9= =-8 =- =- =- (-, -) ;{;+;};= 0.+0.=.8 _, _0 += +=8 _- =8 = = +=, = = (, ) + = 0.+0.= _, _0 =+ +=0 (+)+=0, ++=0 = = = =+= (, ) += -= + =0 = = += = (, ) -+9= =+ --0=- += + _ = = = --0=-, -0=-0 = (, ) (-, ) =-, = -a+b=8 -a-b= + _ -a=0 a=- a=- -b=, -b=- b= a-b=--=- 0

22 0 8 +=8 =- -+=8, =90 =8 =8 =8_-= 8 km km km += += 0 _0 +8=0 - =9 = = += = km 00 g % g 9% g +=800 +=_ =00 - _ =00 =00 =00 +00=800 =00 % 00 g p. 0 += 0+=0++ -+= =, = 9. km 8 +=9 00+0=00 _00- -0=-00 = = +=9 = p. +=0 +8=(+8) =+ ++=0 = = = +=0 =9 9 km km ;{;+;!;+;};=;@; += += - = = = += = =.. km =- 80=0 80=0(-), 80=0-0 -0=-0 = = = A % B % 0

23 8 _00+_00=_ _00+_00=_ =0 +=0 _- _ =0 = = +=0 =8 = A % 0 a-(a+)=, -a= a=- =, = a-= a-=, a=9 a= =, = -+b= -+b=, b= b= a-b= - = = 0+=0+- -+=- + =8 = = += =8 8 p. ~ =-, =0 8km km A 00 B 00 =- +=(-+) +=-+, -=0 0, =0,,,, +=8 8 0 (8, 0), (, ), (, ), (, ), (0, ) 0 =a, =a+ -= =a, = +=- a+=-, a=- a=- =-, = -b= --b=, -b= b=- a+b=-+(-)=- _ _ +=- -=8 _+ _ += 08 -= + =9 = = +=, = = =, = -=k 0 -_ =k k= +=8 -+= _+ = = = +=8 = - = - _ =-= ;!;+;@;=;%; 0.+0.= +=0 += _- _ =0 0

24 =0 +0=0, =-0 =- =-, =0 -=(-) (-)=-+ -=0 --= - =- ==- - -=0 =- a=-, b=- ab=_{- }_{- }= A B 8+=000 +=000 k +0=00 +=00 _- =00 =900 A 900 km km (-)=0 -= k (+)=0 +=0 + = =8 =8 8+=0 = 8km km =+ 0+=0+-8 -= +-= = = =_+= A, B A % B % =000 +=000 k -=0 -= =000 =00 =00 =00 A 00 B 00 =-, =- {-, }] p. ~ A 900 g, B 00 g 8 =, =- 8 m m 8 % 0 g 9% 0 g b+a= a, b a+b= -b-a= =, =- a-b= + _ -b=0 b=- b=- a+= a=- -= --= _+ -= ==- + = =- =- A B A B A B - = A - (A;B C ) = A;B, =- A-(A;BÇ )=A;B (-)+= A;B -(-)=9 0

25 += -+=9 + 9= = = += =- A-(A;BÇ )=A;B={-, }], (+)= += k 8+0= 8+0= _- _ -=- = = +0= = 0 A, B g, g = = k - =00 =900 = =00, =00 =00 A 900g B 00 g +=800 +=00 A, B C 00 g +=00 += =80 += H-.H=0.H = - = =8 (-)-(+)=, -= - _ 8=- ==- + = = =, =- m m 0 0+0= =00 _+ _ 00=800 =8 =8 80+0=00, 0=0 = 8 m m % 9% g, g ++0= =_ =90 k +9=000 +=00 =0- =, 0,, _- -=-00 =0 =0 +0=90 =0 % 9% 0 g, 0 g (, ), (0, ), (, 9), (0, ), (, ), (0, 8), (, ), (0, ) 8 9 >.(+)=00 +=000 k -=000 -=000 =000, =000._000=8800 0

26 Part -+=- =, =- a=, b= +=0 ; 0º0;+; 0º0;=00 p. ~ =0, = Part a-b=, a=, b= a+b=, =, = - Part -= -+= -= -+=- + _ =- =- =- += = =, =- =, =- a-b= a=, b= a+b= += = =000 _- -=-00 =00 =00 = _0= _00=90 00 Part += =,,, : : ;%; -;!; A={(, ), (, ), (, )} n(a)= a+b= a-b= =, =- a-b= a+b= - _ -b=- b= b= a-= a= a= a+b=_ +=, b= -= -+= + _ 8= = = -+= = =, = = -+=-+a = -(+)=a = -+=-+a -(+)=a -=-+a -=a =a+ -(a+)=-+a, -a=8 a=- A A = a 0

27 0 =0 0+ = + = 8+ -, -, 0 p. 8 > , -, 0, =- +< =- +< =0 +0< = -< = -< = = = = + + = + + -, -, 0, < < < > a<b a+<b+ a-<b- a < b - -a>-b -<a+ -< = - _-> _(+) +>_- -_+<_- =- -8+ =- -+ p. 9 0 a>b - -a<-b a->b- - -a<-b -a<-b - -a<-b -a-<-b- a b > a b -> - -<a -<a -<a+ -<a< - -0<-a<8 -<-a< m=-, n= m+n= p. 0 <0 >0 0 æ0 +> <0 > < æ -> - > > 0

28 8-< < 9 < -æ- -æ æ - ---æ0, -æ , <-, --+<0, -<0 ->, ->0 >- >- - <- <-9+, <- <- -<- <-+, <- <- -<- <-+ <- <- æ >- < -(-)æ -+æ æ æ.+0.8> >0- >- > < -(-)< -+< <0 < æ- <- p. (-) æ- >-(+) >-- >- >- - 0.(-) (-) æ- - > + ->8+ -> >0 - <- 08

29 <a -<a-8, >- a-8 a-8 > - = a-8=-, a= a= =- < -<- -9 -< <, -8 - < æ p. - - (-)æ æ- æ > > < =- + (-)+> -+>, >0 > + + -æ+ - æ- -æ - - < > >- < - 0.(-) 0.-. (-)-< --< <9 0 (-) - - -, - -0 æ <9 - -< (-)< <+, -< M=, m=- M-m=-(-)= - 9 >- - p. 09

30 + +a (-) + a- - +, - æ- - a-= a= _ _ (-)> >-, -> - æ- <- -,, -,, + 9<(-)++(+)< 9<< << > =,, 0 +<+ + +<+ + + < < > (+)<0 > > +< <0 <<0 p , =.. km p. km km + +, +, ( =.). km % 00 g _00=(g) 00 g 9 (-) > (-)<000 > > = <000 00<000 <0.<<0 =8, <00 (-) 0<00 < æ <0 æ 00

31 =9 9 = - _ {0,, } > 000>00+00, 00>00 > > > > -<-8 <- <- -- > -->, -> <- >- % 00 g + 8% g æ % (00+)g _00+ 8 _æ _(00+) æ00+, æ00 æ00 æ _00æ _00+_ _00æ { 8 _ _}_00æ(00+) 000+8æ00+, æ00 æ00 cm (+8) 0 0 cm p. ~ 0 a>b b a+b>b+b=b a=, b=- a>b > a b a=, b=- a>b a <b c<0 ac<bc a>b c a-c>b-c < - - -< - -< - A< - >- <- <- æ- æ- -æ-, -æ > +>(-), +>- ->- < A={,,,,, } n(a)= > =- -- _(-) =- -- _(-) =0 0- _0 = - _ <a- -<a- >a- (+)>-- +>-- >-8 >- - a- =-, a-= a=9 -<

32 <- <- +>- 0 +a - ->-0 < - --a æ+a <+a 0<a a a= -< -< >- A={ >-} (-)>- ->- > > B={ >} A-B=A;BÇ ={ >-};{ } ={ -< } + a -<+ - a- a- -< >- a- a- -, a- - a - +a - -< < > , - < -, 0, -+0+=0 +<++, -<-8 >8 000>0_000, 000>0000 >, +, + +(+)+(+) +(+)>8 +, 9 +>8, > > < 9 =9 9,, 9 0cm (BP ) cm < -<a - 0 g 00 g p. 8~9 <a aæ BP = cm PC =(0-) cm MBCD = _(0+0)_0 =800(cm ) DPM MBCD MBP DPC _(0-)_0 _00 BP cm +a -b +a<+b -a-b -<-a+b > a-b < 0

33 < -a-b a-b= + -b= b=- b=- a+= a= a=, b=- + +<- < a-b a-b = -a-b= a- - -<(-) a+ æ < 0< a+ 0<a+ -<a - 0 a (-)-(-), - æ- 0.-.<a 0 -<0a < 0+ A'B - 0a+ 0a+ =- 0a+ æ- 0a+æ- 0aæ- aæ-. = = = = - -<+ <,,, +++=0 A g B (00-) g (00-) (00-)æ (00-) 900, æ0 9+(00-)æ00, -æ A 0 g 00 g 8 0 0_< 0_ 0< 0 0 0_< 0_ 0< < 0 0 a=, b=0 b-a=9 - <a < a+ < a+ < a+ 9<a+, <a 0 <a 0 a+ 9 (+) 8 (-9)+ + (-9)+ (-9)+ + + (-9) æ 8 0

34 p. 80~8 Part (000+90) (000+0) 00 +(0-)æ (0-) 000 kg kg Part - (+) Part 8-æ(-) 8-æ- --æ--8 -æ-0 - fi fl ~fl 9 (-)+ +<(-)+, 8< 9 0 { - } Part 000+ = = < <-000 >00 00 fi fi -<+ + + >- - -< - -, - - A<B B<C (+) (-)+ +<(-)+ - +<- 9 8< 9 kg kg (0-) +(0-)æ (0-) 000-8æ æ... = kg kg _9+= æ æ-, æ-8 æ- A={ æ-} ->8 >9 > B={ >} BÇ ={ } A BÇ BÇ A A;BÇ ={ - } - kg kg A, B BÇ A;BÇ 0

35 (, ), (, ), (, ), (, ) 0 =- 0 cm cm - p. 8~8 _(-)-(-)+ _0-(-)= _-= _ -(-)= _ -{- }= =-, =- a++8=0 -a-+8=0, -a=- a= =-, =b ++8=0-0+b+8=0, b-=0, b= b= a+b=+=9 8 -b=-, -b=- b= a-b=9-= -= =++ += = += =- a=, b=- a+b=- km km =+ =+ ;{;+;};=;%; k +=0 +(+)=0, ++=0 = = = = km -8+0=(-) -8+0=-, --+0=0 = = = = --+0=0 --_ = +0=0, -=-0 =-, = (b, ) +=- b+=-, b=- b=- (-, ) +a= -+a= a= +=- -= _+ = = = +=- =- (, -) a+=- a-=- a=9 (, -) +b=- 9, +=8 =+ ++=8, =8 = = = 0 a<b a+<b+ a-<b- - -a>-b - -a>-b -a>-b - -(-a)<-(-b) a < b a -< b - -<< - -<-< -<-+< a=-, b= a+b=_(-)+= 0

36 9, =,,, +=9 (, ) (, ), (, ), (, ), (, ) <- <- <- <- >- a+>, a> <- a<0 < a a =- a=- (+a)æ+ +aæ+ -æ-a+ a- 0 a- a-< a< a< +8>+a A;B +>-8 >a-8 > a-8 ->-0 < -<< a-8 =-, a-8=- a= -< < <. { -< }={, 0, -, -, -, } (+)-(+), æ- -, -, 0, (+) , - =- æ- cm cm (+)=(cm) cm cm =(-) - -= 0 0-=(-), 0-=- 0+= 0+(-)= =0 = = =- a=, b=- a-b= - + +<+ - 8 æ- < < - a-b 8 B A > B (æ0) 00>000+0(-0) 00> >00 >0 B - < a=, b=- a+b=-, A<B B<C a, b a-b 0

37 0 p O - - =- + =- =- - =- - =-- O =- =-- - p. 8 =a+b( a b a+0 ) =(-) = - =(-)- =-- =- = = =+ =p =_ =0 =000-0 = b =+b =+b (-, ) =-, = =-+b b= p =- =0 0=- = =0 =- ()= ()=- =-+8 =0 0=-+8 = =0 =8 ()= ()=8 =- +_(-)- +_0- -+_- -=_ - +_ - - = = - 0

38 p. 89 = =8 O =+ =0 0=+ =- =0 = ()=- ()= = - =0 0= - = =0 =- ()= ()=- =-+ =0 0=-+ = =0 = ()= ()= =- - =0 0=- - =- =0 =- ()=- ()=- - - O - - = = = O - - = =- - =a+b a b {= } =+ (0, ) (, ) - = - (0, -) (, 0) - -{= } =-+ (0, ) (, ) - - {= } - = - = - =0 0= - = =0 =- - a=, b=- a-b=-(-)=0 =-+ =0 0=-+ = =0 = =- - (0, -) (, -) - - O

39 0 = + =-- =-- = + - =- + = + =-+ =- = +b (-, ) =-, = = _(-)+b, =-+b b= = + (-, ), (, ) - - = =- -(-) - =-+b (, ) =, = =-+b b= =-+ - (, 0), (0, -) = = =- = - p {= },, p O = =- =- =a+b =a<0 b>0 =-b+a =-b<0, =a<0 =-b+a O =-b+a = - = +b (-, ) =-, = = _(-)+b, =-+b b= = + - = = =- =-+b (, -) =, =- -=-+b b=- =-- (-, ), (, -9) = = =- -(-) =-+b (-, ) =-, = =+b b=- =-- - (-, 0), (0, ) -0 = = 0-(-) 09

40 = =, = + = (a, ) =a, = =-a+, a= a= (, 0) =-+b =, =0 0=-+b b= =a+ (, ) =, = =a+ a= = + =0 0= - + =- (-, 0), (0, ) -0 = = = 0-(-) = +b (, -) =, =- -= +b, b=- = =+ =0 0=+ =- ( )=- =- + =0 0=- + = ( )= =+ - O =--+ = (-, ), (, -) -- - = =- -(-) = {0, } p. 9~9 =a+b(a b a+0 ) =a+ =a+- =a- =+b a=, b=- a+b=+(-)= =-+ =-++ = =a+b a<0 =a+b a -- --(-) - =, -= -(-) a- a- a-= a= =a- =-- a=- =+b =(-)=- b=- a+b=(-)+(-)=-0 =- =-, = +-_(-)+ (-, ) 00

41 =-+ =-+ = - - O - =- + P P {0, } - (-, 0), (0, ) -0 = = 0-(-) = + =a-b a>0 -b>0 b<0 =ab+b =ab<0 =b<0 O, - b 0 -, a 0 p. 9~9 =- =- =0 0=- = =- +b =, =0 0=- _+b b= =- + - =- =- +b (-, ) =-, = =- _(-)+b, =+b b= =- + =- + l A C D m h B O AOB h' =--+ = AOC DOB h, h' l, maob AOC = h= h= DOB = h'= h'= C D =- + C{, }, D{, } l, m =, = (-, ), (, ) - = =- -(-) =- +b (, ) =, = =- _+b, =- +b b= A D a A(a, -a+), D{a, a-} ABCD AB =AD a=(-a+)-{ a-}, a= a= 0

42 =a+b =, = =a- b =a+b b=-a =a-+b (-, -) =-, = - a - -a -=-a-+b, a-b=9 - -a - b (, ) =, = =+b =a-+b, a+b= b 0 a=, b=- - b 0 ab=-9 = +b B A Bb - - O = +b =-, C - - D = =- +b b= = +b D b = +b =, =- b=- b - OABC _(8+)_8= =a+ D(0, ) E (8, 8a+) OAED _(+8a+)_8=(8a+) =a+ OABC ( OAED ) = ( OABC ) (8a+)= _, 8a+=8 a= ( OAED ) = ( OABC ) (8a+)= _, 8a+= a= a, _{ }=8 =+ =- - - O - - =-+ =-- =f() (-, f(-)), (, f()) f()-f(-) f()-f(-) = = = -(-) =a- A a A - - O =a- =, = - B - =a- a= =a- B(, -) a =a- =, =- -=a- a= a a = - - b _(b+)_= b= =-- =a+b O - =a+b =a+ =, =0 0=a+ a=- a+b=(-)+= 0

43 0 -+=0, -=-- =+ k = = +-=0, =-+ =- + k =- p. 9 = -- O - - = =- -- O - - -= =- k ( )= ( )=- + = =0 = k ( )= =0 = a=, b=0 = = 0 -- O - - k ( )= p. 9 a-+b=0 (-, 0), (0, ) -a+b=0, -0+b=0 a=, b=0 = +, =+0, -+0=0 a=, b=0 --=0 -=-+ =- a=, b=- ab=_{- }=- -+=0 =0 +=0, =- =- - -+=0 =0 -+=0, -=- = -+=0 -=-- = + = - -,, - O (, ) k = (, -) k = =-, =, =-, =- _=0 --- O - - =- =- = =- 0

44 0 p. 98 =, = =, =- =-;!;+;!; - - O - =--+- =-;!;+;!; - =-- =-- =;#;- - - O =;#;- - - =+0 æ æ =+0 =00 00=+0, =90 = 00 æ =, =- a=-, b= =0.+0 cm =0-0 km 8 =(+0) cm p. 99 (, -) =, =- =;a@;-;a^; =-;!;+;B; =- =-- -- O - (, -) - b =-, - = a=-, b= a a -a= -a= +=b +=b -a=, b= a=-, b= 0 g cm g 0. cm g 0. cm =0.+0 =0.+0 = =0._+0=(cm) L 8km km L 8 km L 8 =0-8 0 L 0 =0- =0 0=0-8 8 =0 0 km =;!;- =- ABPD = _(AD +BP )_DC = _(0+)_ =(+0) 0

45 cm =(+0) = =(+0), =+0 = BP = cm 0 b +a+b=0 a=--b, =- - a a - <0 a a>0 b - <0 a b> a=0, b= = - a=-, b=- = --=0 -=-+ = - p. 00~0 a--=0 (, ) =, = a--=0, a= a= --=0 (b, 0) =b, =0 b-=0 b= a+b=+= +-=0 =0 -=0 = +-=0 =0 -=0 = +-=0 =-+ =- + = - - = O = =0 =0 -=0, = ()= =0 -=0, = ()= A ( AOB ) = = C COB h h B O AOB +-=0 COB= h= h= C = +-=0 +-=0, = C(, ) (-, ) = = a=0 b+=0, b=- =b - b = b=- (a-)=, a-= a= -= = -= = (, ) +a=9 =, = +a=9, a= a= a O - O = = = =a a- = 0

46 0 a+b=- =, = a+=8 =, = a+=8 a+=8 a= =, = +b=- +b=-, b=-8 b=- a+b=+(-)=- += += _- =- =- =- -+= = (-, ) = -=- -+= -=- -+= _+ -=- = = -+= = {, } -a+= =, = - a+ = a=- =- =- =-;!;+;!; =;!;-;!; =;#;-;#; =;#;-;#; =-;!;+;#; =-;!;+;%; =;@;+;!; =;@;-;!; a+= ;@;-=b =;@;-b =-;A;+ a - =, =-b a=-, b=- km æ =+ 0 km =0 =+ =_0+=0 0 km 0 æ BP = cm ABP = = = = = = ABP cm ,, a 8 a=-, b+ 9 a=, b= 0 =+0. m p. 0~0 (-, 8), (, -) =- + =- +, -= =- + -= 9 -{- +}=, =9 = = =- + =- (,-) =, =- -a-=0 +a-=0 a= 0

47 -+=0 -+=0 a= a= - +-=0 A -+=0 P(-, ) S A(0, ), B(-, 0) --=0 S - + = B H O C - -+-= -+=0 = C(, 0) = -+=0 =-, = -+=0 = +-=0 -+=0, --=0 (, ) P(-, ) a-+=0 S = _BC _PH = _9_= =, = a-+=0 a=- S = _BC _AO -S = _9_- =9 9 a -,, S -S = -9= L A =0- B = =+, =8 0 =0 0 8 m =a 00 a= =80 0 =80 =m+n (, 0), (0, 900) 900 m= =80 0- =80+n =0, = =00+n, n=-00 = =80-00 = 8 =+, =-, =a+ 8 =, =, =, = =a+ A B D = C = (0, ) - O a =a+ = = A C =a+ =, = a= =a+ =, = a= a a =- +, = = =- +, =, = O _= =--+ +a= A;B=u -=b =- +, =-b a a - =, +-b a=-, b+ a a =--+ 0

48 9 0 a+b=c a'+b'=c' a b c = = a' b' c' a b c = + a' b' c' +a= -=b a = + a=-, b+ - b -+=0 =0 =- - a++b=0 =-, =0 -a+b=0 -+=0 =0 = A(0, ) AB = B(0, -) a++b=0 =0, =- -+b=0 b= b= -a+=0 a= 0 æ m æ 0. m æ =+0. = =+0._= æ m Part =+ cm Part A(, ), B(-, -), C(, -) = cm p. 0~0 Part cm =+(-) =+ =0 =_0+=(cm) Part =a+b a>0 a<0 (cm) 0 8 += =, = -=- A(, ) =- -=- =- B(-, -) =- += = C(, -) A BC H ( ABC ) = _BC _AH = = A B C ABC BP cm ={ 0}+ _(0-)_] =

49 = =-+80 =-_+80=9(cm ) =a+b =a>0 =b<0 =ab+(a-b) =ab<0 =a-b>0 O =p_ =p = _ 00 = _ = 00 0 =_ =_ = = = _ =0 = 0 a, b ab a-b =ab+(a-b) =- b =-+b -+b=- b=- - k-(-) =- k+= -- k= =-+b =, =- -=-+b b=- =-- =0 =- - a=- a+k=- += k a a+k = - =0 0= -, = a= =0 =- b=- ab=_(-)=-8 =+ =0 0=+ ==- +b =0 0=- +b =b - =b b=- p. 0~ =00- { 0 0} { 0 00} 0 L =a+ OAB = _O A _ = O A = =a+ =, =0 0=a+ a=- B O A 09

50 8 9 - =- -(-) =- =- -8 k+- k- =, -= -(-) k- k- -k+=k-, -k=- k= (-, 8), (, ) -8 =- -(-) =-+b (, ) =, = =-+b b= =-+ (k, k+) =k, =k+ k+=-k+, k= k= =-+ =-<0 =>0,, = + = >0 =>0,, --=0 = - = >0 =-<0,, ++=0 =-- =-<0 =-<0,, =, 0 =a<0 =-ab<0 a<0, b<0 =-+ =-+b (, -) =, =- -=-+b b= =-+ = = + =- =- - =- + =, = =- + =- _+ +-=0 =-+ =- + =-+ - =- - =-- ++=0, ++=0 a= a++=0 (-, 0) =-, =0 -a+=0 a= (, ) =, = a+=9, a=8 a= -b=, -b=- b= a-b=-=0 00

51 -+=0 --=0 =0 -+=0 { 0 0} --=0 { 0 00} - -+=0 = = =00-_=00-80=0 = 0 L -+=0 = a-+=0 (-, ), (, -) (, ) -- - =, = a-+=0 = =- -(-) a=- =- +b -a= -a=-+ (, -) =, =- = - a a -=-+b b= += =-+ =- + =- + =0 0=- + A;B=u -a= += = = m= =- a=- a =0 =- _0+ = 8 æ n= m+n=+= æ æ m = +0 n m+n 9 0 =- b =-+b (, ) =, = =-+b b= =k(k ) a-=a- -a= a=- ++=0 =-- -=0 = = =-- = - - O - - = 0 L L L =00- =0 0=00-, =00 = 0

52 0 p. 0,, _= = _=8 = _=8 0 =8 B A, C, D, E _ = 0 _=0 0 _= _ = p A= = = p. 0,,, 0 = 0,,,,, 9 (, ), (, ), (, ) (, ), (, ), (, ), (, ), (, ), (, ) +=9 +=8 8 p. 0

53 0 0 = 0 K, O, R, E, A K, R = A = = _ = = = = _= k, k 0,, k _= ++= A B A C A, B D A, C =8 _ =0 0 0,,, 0,, 0 = 0 p. ~ (, 0), (, ), (0, ),,,, 9 0,,,,,, 0 0+= _= _8=,,,, 9 8 _8=0 0 = 9 = = = 0

54 ++=+ = + (+)=0 = =0 A C = = 0 0 =0 ( )_=8 8 = 0 a-b=0 = a-b=0 a=b _= a=b (a, b) (, ), (, ) = 8 =p_ =9p(cm ) =9p-p_ =p( cm ) p = 9p p. ~ C A C B C D C =0 = _8_ =8 8-8= 9 = 8 ( ) ( ) ( )_ = = (,, ), (,, ), (,, ), (,, ), (,, ), (,, ), (,, ), (,, ), (,, ), (,, ) (,, ), (,, ), (,, ), (,, ), (,, ), (,, ), (,, ), (,, ), (,, ), (,, ) (,, ) 0_+0_+=9 9 0

55 (,, ), (, 0, ), (,, ), (,, ) A B A B C _=8 =8 P 8 C B < ( cm, 8 cm, 0 cm), ( cm, 8 cm, 0 cm), (8 cm, 0 cm, cm) p. 8 0,, = =- =- = p. 9 p= q=0 p+q=+0= 0 k _=0 p+q= q=-p =- =- = = 0 0 k _=0 0, 8,,, 0 = 0 - = =8 8 =- =- = 8 8 0

56 0 _= (, ), (, ), (, ), (, ), (, ), (, ) = =-=- = p. 0,, 9, + = = _ =,, _ = 0 0 _ = =(%) = - = _ = _ = = _9 = _ = = _ = _ = = 0 0 %{ } 0 0 p. p. ~ %{ } = = AB = O = = A,, B 0 0 _= (, ), (, ), (, ), (, ) 8 - = = 9 8 8_ =8 _ =0 0

57 = =- = = _ = =8(%) = =- =- =,,,,,, = = 0 + = = _= (, ), (, ), (, ), (, ), (, ), (, ), (, ), (, ) 8 (, ), (, ), (, ), (, ) 8 + = = = 0 - = _ = = A B + A B 9 = _{- }+{- }_ = 0 =- =-{- }_{- }= A, B, C =- =- =-{- }_{- }_{- } =- = _=0,,,,,,,,,,,, = = A _ = 0 - = B _ = = + = _ + _ = = p. ~

58 A _ = 8 A _ = = 8 0 _ = = P D _= (, ), (, ) (, ), (, ), (, ), (, ), (, ), (, ) (, ), (, ) + + = 8 = = = + = 0-0 = +-0 =(+), (-0)=+-0 = -=80 -=80 =0 0 0 (, ) (, ) (, ) (, a) (, ) (, ) (, a) (, ) (, a) (, a) 8 = (, a), (, a) 0 a- a 9, a-> a>8 8<a 9 a A - = = A _ B 8 = _ B B = A B _{- }= A B B _ + _ = 8 a, b, c a_b_c,,,, 8, 0 = 0 _= a+b= (, ) =, = a+b= (, ), (, ), 08

59 0 Part 8 B Part Part (, ), (, ), (, ) - = A B A B A _ + _ = p. ~ =8 A, B, C (,, ), (,, ), (,, ), (,, ), (,, ), (,, ), (,, ), (,, ) A (,, ), (,, ) A = 8 B (,, ), (,, ), (,, ), (,, ) B = 8 C (,, ), (,, ) C = 8 B fi + = fl A B C fi fl A B A, B A={,,, }, B={,,,, 0, 0} a b = a+b a b _ = a b _ = a+b + = fi ab a, b _ = ab =- a, b =- = fl Part _=0 _= _ =0 +> >- = >0 k =,,,, = > k =, a b a b a b fi a+b fl ab 09

60 =,, +=, 0,,, 0 +=, = A B _ = A A B _ = A B _ = = _= = _=8 = -= + = A B C A B - =- _ = 0 0 = = C - = _ = A={a, b, c} =8 b = = A, B p. 8~0 9 0 A B A C B = A C B A C A C _= = a a A,,, 8, 0,, 0 00

61 - = 9 9 = (, ), (, ), (, ), (, ) 8 (, ), (, ), (, ), (, ), (, ) 9 + = = = k _=0 k _= _ = _= A B _= A B _= + = = 8 += 0 0_9 = = _ = =,, = _ = - = = _ = _ = =- 8 =- = = =- =-, =-{ _ }= =-{ + } =-{ + }= _ = = = (, ) (, ),(, ), (, ) { + }=-{ = } =- = = ;};= ;};+ 0

62 0 ABC=80 -(80 +0 )=0 = p.,, 8 =, = 08 cm 0 p. = += B M, BMP, P M, SAS 0 p. AMP BMP A M =B M AMP= BMP=90 P M AMP BMP(SAS PA =PB = p. _(80-0 )= ABC ACB=80 - = =80 - _=8 BCD BCD= BDC=80 - = CBD=80 - _=0 ABC ABC= ACB= = -0 = ABD ADB=90 ABD= BAD= _(80-90 )= ABC = ABD= CD =BD = =+= ABC= ACB= _(80 - )= ABD= DBC= ABC= _ = ADB= DBC+ DCB= + =08 BDC=80-08 = BCD BC =BD = cm ABC= ACB A ABC= _(80 - ) = B DBC= ABC= ACE=80 - = DCE= ACE=8 BCD =8 - = FAE= FEA= a EFD= EDF= a+ a= a 8 C E D 0

63 DEB= DBE= a+ a= a BDC= BCD= a+ a= a ABC ACB= ABC a= a+ = a BCD a+ a+ a=80 9 a=80 a= =0 ABDEBD AB =EB, DAB= DEB=90, DB ABD EBD(RHS ) AD =ED = = ABE= _ =. 0 0 p. RHA ABCEDC A= E=90, BC =DC, ACB= ECD ABC EDC(RHA ) RHS ABCFDE C= E=90, AB =FD, AC =FE ABC FDE(RHS ) (RHS ) (RHA ) PBO, PA, OP, RHS, BOP =, =. p. RHS 80 -(90 +0 )=0 RHA RHS RHA SAS ASA AOP BOP PAO= PBO=90 PA =PB OP AOP BOP(RHS ) AOP= BOP ABC ABC= ACB= O A P B O ABC =BO =CO = p. 8 0 _= + + =90 =90 + _8 = = 80 p cm =, = cm OA =OB =OC BE =CE ADOBDO AO =BO ADO= BDO=90, DO ADO BDO(RHS ) M ABC A M =B M =C M BAM= ABM=0 AMC=0 +0 =80 = _=(cm) =p_ =p(cm ) OABC OA =OB =OC BAO= ABO=8, CAO= ACO= BAC= BAO+ CAO=8 + = = BAC=_ = p. 9 0

64 0 0 0 =90 + ABC=90 + = + + =90 = I r cm ABC =ABI +BCI+CAI = _r_ab + _r_bc + _r_ca r = (AB +BC +CA ) r = (0+8+), r= r= I cm p. 0~ , AB =AC cm = = k = = k =- (-) = + 8 k 8 k 8 8 k k k k a+b= a=, b= k a=0, b= a+b= a+, b+ a=, b= a+b= k 0 BD =CD, AD BC B= C ABD ACD AB =AC, BAD= CAD, AD ABD ACD SAS ABC B= C DBC= DCB DBC CD =BD = cm BCD= ACD= ADCDBC ADC= DBC+ DCB=8 + ADC DAC= ADC=8 + ADC (8 + )+(8 + )+ =80 =8 =8 ABC= ACB= _(80-00 )=0 DBE= DEB= _(80-0 )= DBA =80 -( +0 )= BED BEC = + =0 ACB= BC ABC= =80 -_ =0 ABCABC= ACB= AB =AC ABC DEF A= D RHA ABD ABD+ BAD=90 DAE BAD+ CAE=90 ABD= CAE ABD CAE AB =CA, ADB= CEA=90, ABD= CAE ABD CAE(RHA ) DB =E A = cm, EC =DA = cm ( DBCE ) = _(+)_ 9 = (cm ) ABC BAC=80 -(90 +0 )=0 AED AEC ADE= ACE=90 0

65 AE AD =AC AED AEC( RHS ) CE =DE = cm EAD= EAC= _0 =0 ABE BE =AE = cm BC =BE +CE =+=9(cm) + + =90 =90 = 90 + A=8 A=8 A= I ICB= ICE= DE // BC = ICB= ECI= EIC EIC E I =EC = cm D I =DB = cm =D I +E I =+=9(cm) +=9+= ABC r cm r ABC = (AB +BC +CA ) r 8= (8++), 0r=0 r= cm a=0, b= =, =0 cm =0, =0 0 8 cm (-9p) cm p. ~ BED CFE BD =CE, BE =CF B= C BED CFE SAS BDE= CEF BED B+ BDE= b+ CEF B= b ABC AB =AC B= C= b, a+ B+ C=80 a+ b=80 a- b= a=0, b= A ABP DAP= CBP=90-0 =0 APD= ADP B = _(80-0 )= =90 - = 0 0 P ADP BCP SAS DP =CP DPC =80 -_ =0 ABC p cm cm =_=0(cm) p cm cm A ABC cm F cm I D, E, F BDI BEI CEI CFI ADI AFI BE =a cm BE =BD =a cm CE =CF =(0-a) cm ADIF AD =AF = cm ABC =IAB+IBC+ICA = (a+) + 0+ (-a) =(cm ) BP =PQ, PQ =QC PQB= PBQ=0, QPC= QCP= O a cm B cm a cm E (0-a) cm 0 cm OA =OB =OC OAB= OBA=0, OAC= OCA= PBQ QCP APQ=0 +0 =0 AQP= + = APQ (0 + )+0 + =80 =0 =0 + =0 D B 0 I P (0-a) cm C D C A 0 0 Q 0 O C 0

66 I p. ~ AIB=90 + C Part =90 + _80 =0 90 Part IEC=80 - a, DIE= AIB=0 IDCE b+80 +(80 - a)=0 cm cm cm p cm a- b= ABDACE AB =AC, AD =AE BAD=0 - DAC= CAE ABD ACE SAS BAD= ABD= BAD= BDCABD BDC= + = BD =BC BCD= BDC= AB =AC ABC= ACB= ABC + + =80 =80 = B= C ABC AC =AB =8 cm ABC =ABP +ACP 8= _8_PD + _8_PE PD +PE =8, (PD +PE )=8 PD +PE = cm I BAI= CAI= DAE= - =0 O I A=0 B 0 DE ABC O BOC= A=0 OBD= _(80-0 )=0 ABD= ABO+ OBD= BAO+ OBD = +0 = ADE= BAD+ ABD= + =0 I r cm pr=p r= ABC = _0=(cm ) =-p_ =-9p(cm ) A 0 C Part CBDABD + BDA= BDA= BAD BA =BD ACD BA =BD =BC BACD B AC ADC=90 A, B, C ABC P Part B A P BDA= BA =BD BACD ADC BDM CEM B M =C M BDM= CEM=90 B= C BDM CEM RHA D M =E M BAC= BOC= _0 = AB =AC C 0

67 ABC= _(80 - )= OB =OC OBC= _(80-0 )=8 IBC= ABC= _ = OBI=8 - = BE =BD = cm CE =CF =(-) cm, AD =AF =(-) cm AC =AF +CF (-)+(-)= = BE cm BE = cm CE =CF, AD =AF BE ABC = _=(cm) r cm r ABC = (AB +BC +CA ) r 0= (++0), 0r=0 r= cm S =p_ =9p(cm ) S =p_ =p(cm ) S -S =9p-p=p(cm ) 0 = a= = = a=80 b=00 0 cm p. 0 cm cm cm AB // DC = ABD BOCABO + =0 =8 AD =BC =8 cm AB =DC 8+8+DC =8 DC = cm A+ D=80 A=80 _ =08 C= A=08 p. AB =DC, AD =BC D=0 -( )=8 B+ D AO =CO, BO =DO A D cm cm B C ( ABCD ) =_{( PAB )+( PCD )} =_(+) =(cm ) 0

68 0 0 cm cm =, =, z=90 = DBC= AC BD z=90 =80 -(90 + )= cm p. 8 =00, =0 =8, = cm p. 9 O OBC= ADO=0 OB =OC OCB= OBC=0 =0 OBC =80 -_0 =00 -=+ =8 +=- = AD // BC, AD =BC k AB =AD k D=90 k D A cm D AB BC E 0 9cm 9cm ABED B cm E C BE =AD = cm DEC= ABE= DCE=0 DEC EC =DE =AB =9 cm BC =BE +EC =+9=(cm) ABD =ABCD-DBC =-0=(cm ) AB // DE ABE= ABD= cm p. 0~ DC ABC BC SAS AC =BD 0 0 AD // BC DAC= ACB= AB // DC ACD= BAC= ACD + + =80 =9 OBC cm OB +OC += OB +OC =8 AC +BD =(OB +OC )=_8=(cm) AEB= EBC ABE= AEB ABE AE =AB = cm DE =AD -AE =-=(cm) AO =CO, BO =DO ABECDF AB =CD ABE= CDF AEB= CFD=90 ABE CDF RHA ABE CDF AE =CF OE =BO -BE =DO -DF =OF BAC= DCA AB // DC AB // DC, AB =DC D= B=0 ADE= _0 = DAF=80 -(90 + )= = DAF= 0 PAD+ PBC= + PBC= ABCD PBC= cm 08

69 08 ABD= ABO=_=8(cm ) OAB cm BOC= ABO= cm ODC= OAB= OB OD = CEF= BCD= ABD=8 cm OAD= OAB= BDE= BCD=_8=(cm ) BFED= BDE=_=(cm ) OBC= ODC= ++ +=, 9= =8 09 ABC DCB OAB 8cm AB =DC, ABC= DCB, BC ABC DCB SAS AC =BD 0 AC ACE ADE SAS AC =AD ABCD AB =BC =CD =AD ABC =0 + =80 =0 - =0-0 =0 A+ B=80 ( + )=80, + =90 ABE AEB=80 -( + )=90 HEF=90 EFGH E= F= G= H=90 EFGH AD =AE EAD=80 -_ =0 BAE=90 +0 =0 ABCD AB =AD AB =AE = _(80-0 )=0 AB =BC AD =DC DAC= DCA= _(80-0 )= AD // BC ACB= DAC= =80 -(0 + )= P.( Q'R) H P Q R S cm 0 0 cm 0 cm 8 =, = a cm 80 8 cm 9 DBE, AFE p. ~ DEF= A DE =DF cm DFE= DEF= B D O F AFB= DFE cm E = C AB // DC BAF= AED= AFB= BAF ABF AB =BF BF =BD -DF =-=0(cm) CE =DC -DE =0-=(cm) ABCD B 90 D' F' A' E' A(C') F 0 0 E'BF= E'BA+ ABF = EBC+ ABF= E'FB EFB E 'B =EB, E'BF= EBF, FB E'FB EFB SAS E'FB= EFB=0 DFE=80 -(0 +0 )=0 FED=80 -(90 +0 )=0 E'FB EFB E 'F =EF DEF =DE +EF +FD =D 'E' +E 'F +FD =D 'D =_0=0(cm) B D E C 09

70 BE FG // EC A F E D 8 PC // MD DPM= CDM DPB= DPM+ DBM= CDM+ DBM EBC= EFC=0 cm = CMB= _MB _CP =(cm ) BD AD // BC B C G DBC= EBC=0 cm ABCD= DBC=_0=0(cm ) 9 AE // BC DCE= DBE AB // DC DBF= DAF DBE= DBF+ DFE = DAF+ DFE= AFE AD B M F DCE= DBE= AFE B A E BCM FDM BCM= FDM BMC= FMD C M =D M BCM FDM ASA BC =FD =AD D AF AEF AD =DF =DE DEA= DAE= ADE=80 -_ =8 G 08 F A =80-08 = AEF= B E AFE= AEF =80 -_ = C BMN= CMN=a cm BCNADN ADN= BCN= BMN+ CMN =a+a=a(cm ) ABCD= ADN=_a=8a (cm ) AMN= ABCD- ABM- CMN- ADN =8a-8a_ -a-a=a(cm ) ABE ADF AB =AD, ABE= ADF AEB= AFD=90 ABE ADF RHA ABE BAE=80 -( )=0 ABCD BAD=80-80 =00 EAF=00 -_0 =80 M D F D C Part a Part ABE BCF, SAS cm cm Part p. ~ EIC EJD EC =ED ECI= EDJ= IEC= IEJ- CEJ=90 - CEJ JED= DEC- CEJ=90 - CEJ IEC= JED EIC EJD ASA EICJ= EIC+ ECJ= EJD+ ECJ = ECD= ABCD= a AC D AC BC E A B D C DE // AC ADC= AEC ABCD= ABC+ ADC= ABC+ AEC = ABE AC AC DE ADC= AEC ABCD= ABE E 00

71 Part +=- = +=- = AD =BC = +=, AB =DC =_+= ABCD ={ +}_= ABCD ABE BCF AB =BC, ABE= BCF BE =CF ABE BCF SAS ABE BCF BAE= CBF GAD= BAD- BAE=90 - BAE GFD= CFD- CFB=80 - CFB GAD+ GFD =(90 - BAE)+(80 - CFB) =0 -( BAE+ CFB) =0 -( CBF+ CFB) =0-90 =80 A DC BC E A D AECD AD =DC AD =DC =AE =EC B E C BC =AD AD =EC BE =EC ABE AEB=0 D= AEC=80-0 =0 AECD AEB D (00p-9) cm p. ~8 ACB= _(80 - )= FCB= -0 = EFD= BFC=80 -(0 + )= DBC= DCB= _(80-0 )= DAC= ADC=80-0 =0 = DBC+ DAC= +0 = ABD AED ABD= AED=90, BAD= EAD AD ABD AED RHA DEC =ED +DC +EC =BD +DC +(AC -AE ) =8+(0-)=(cm) BDO ADO RHS AOC=(0-80 )_ =0 ABC= AOC= _0 =80 DBEI DB =BE =IE = cm CE =CF =-=0(cm) AD =AF =-0=(cm) AB =AD +DB =+=(cm) ABC= =0(cm ) BP PC = ABP= ABC= _=8(cm ) AQ BQ = BPQ= ABP= _8=(cm ) 8 AFB=80 - = FBE= AFB= ABF= ABF BAF=80 -_ =0 BEA= FAE= = 0

72 9 AF // DC FDC= AFD AFD= ADF AFD AF =AD = cm BF =-=(cm) 8 AE // DC ADE= ACE= cm ABC= ABE+ ACE =+=(cm ) 0 BOC= ABCD AE =GC, AE // GC AGCE AG // EC AF =HC, AF // HC AFCH AH // FC APCQ AGF CGE AG =CG, AGF= CGE, FAG= ECG AGF CGE ASA FG =EG AECF AECF= 8=(cm ) 9 0 A= EBD= A= AB =AC ACB= ABC= + ABC +( + ) +( + )=80 =0 A= =0 BIC=80 -( + )= =90 + = AD // BC = GHB=0 EP // BH GPE= GHB=0 AEPG +0 =80 =0 z=ef -EP =0-= ++z=0+0+=8 ECD=90-0 =0 CE =CD ECD EDC= _(80-0 )= EDB= - =0 AB =DC AC =BD ABDDCA AB =DC BAD= CDA AD ABD DCA SAS ABO= DCO ABCDCB AB =DC, ABC= DCB, BC ABC DCB SAS OC =OD ABCD 90 ABE BCF AE =BF, AB =BC ABE= BCF=90 ABE BCF RHS BAE= CBF=90 - ABP = BAE+ ABP =90 ABEBCF ABEBCF = _0=0(cm) =p_0 =00p(cm ) ABC = =9(cm ) = -ABC =00p-9(cm ) ABC 0

73 0 C=0 -( A+ B+ D) =0 -( ) = G C G= C= p. 0 ABCDª EFGH A E B F C G D H AB EF BC FG CD GH D A HE AE BF CG DH CF C 'F' = 8= AC A 'C' = = = DE D 'E' = = = EF E 'F' = z = z= ++z=++= cm 0 BC FE = = AC DE =, DE = DE = cm F B F= B=0 B C A 8 cm,, = 8 p. A=80 -(0 + )= E=80 -( + )=0 A= F B= E C= D ABCª FED a f=b e=c d E CD GH = 0 EF =, EF =0 EF =8 cm D H D= H=0 F D 0 ABCDEFCG CA CE = AD EG = = = 8 ABCª DEF SSS AB DE = = BC EF = 8= CA FD = = SSS ABCª EDF AA A=80 -(8 +0 )= A= E= B= D=8 AA p. AC =CD _BC =(+) =+, = = GHIª OMN SAS ABCª AED AA ABCª CBD SAS 8 8 cm 8 p. 0

74 H= M= HI MN =GH O M = GHIª OMN(SAS ) C= D= A ABCª AED(AA ) AB CB =BC BD = B ABCª CBD(SAS ) ABCDEC B= E C ABCª DEC(AA ) BC EC =CA CD 9=(+9) 8 9+8=0 = ABCDAC BC AC =CA CD = C ABCª DAC(SAS ) AB D A = = = = DE = DE = cm DF = DF =. cm ( DEF ) =++. =.(cm) EJ J= E=0 G=0 -( )=0 DE IJ = = CD HI = A= F=9 AE 9= AE = cm BC = BC = cm 0 = B r cm r= r= B p_ =9p(cm ) 8 ADCBEC ADC= BEC=90 C ADCª BEC(AA ) AC BC =CD CE BC = 9, BC =08 BC =8 cm 0 0 AC DF = AC = DF O A O A' = 9= A 'B' = A 'B' = cm BC =BD _AB =, = BC _AC =AB _CD _=, = += + = 8 08 ABCEBD AB EB =BC BD = B ABCª EBD(SAS ) = =8 0 0 p. ~ p cm cm cm 09 ABCAED AABC= AED ABCª AED(AA ) AC AD =AB AE =0 AE AE =8 cm CE =AE -AC =8-=(cm) DBFCEF DFB= CFE, DBF= CEF DBFª CEF(AA ) DB CE =DF CF = CF CF = cm 0

75 0 ACDBCE ADC= BEC=90 C ACDª BCE(AA ) BPDBCE BDP= BEC=90 EBC BPDª BCE(AA ) APEACD AEP= ADC=90 CAD APEª ACD(AA ) APEª ACDª BCEª BPD ADFECF ADF= ECF=90, AFD= EFC ADFª ECF(AA ) AD EC =AF EF =AF AF = cm AE =+=0(cm) ABCDBE B BAC= BDE=90 ABCª DBE(AA ) AB DB =BC BE = = ABCª CBD(AA ) AB CB =BC BD AD =BD _CD =8CD CD = cm ( ABC ) = _0_=0(cm ) B= C= A A = DEF=0 cm D BDE+ BED=0 8cm cm F BED+0 + CEF= BED+ CEF=0 B cme 0 cm BDE= CEF BDEª CEF(AA ) BD CE =DE EF 8 0= EF AF =EF = cm C p. ~ 9 cm 8cm cm 9 8 cm 8 cm 9 cm ABPPCQ A BAP= CPQ ABP= PCQ a a ABPª PCQ(AA ) Q BP PC = B C a P a BP =a, PC =a a a=a CQ CQ = a 9 AQ =a- a= a ;^;a : ª:a QC = = AQ 9 AP =BP _PD AP =_= AP = cm ABD= =(cm ) ABDª CAD(AA ) BD AD =AB CA = BD =a AD =a AD =BD _DC (a) =a_dc DC = a BD DC =a a= B E AD A 0 80 AC E 0 cm AD // EB B C cm D EBA= BAD=0 BEA= DAC=80 BAE=80 -(0 +80 )=80 BAE ACDECB C CAD= CEB ACDª ECB(AA ) CD CB =AD EB, = EB AB =EB =8 cm ADCBDF DBF=90 - BFD, EAF=90 - AFE BFD= AFE DBF= EAF ADC= BDF=90 ADCª BDF(AA ) AD BD =DC DF 0

76 ( AF +) =, AF =9 9 AF = cm E C' BD F A E D EBF= FBC 9cm F cm EDB= FBC cm C EBF= EDB BAD= EFB=90 ABDª FEB(AA ) AB FE =AD FB 9 FE = FE = cm 8 ( EBD ) = 8 = (cm ) EDF= DAC+ ACD = DAC+ BAE= A DEF= EBA+ BAE = EBA+ CBF= B ABCª DEF(AA ) AB DE =BC EF =CA FD 8 = = =, =0 +=+0= B 0 =, = BC // DE AD DB =AE EC 8 =, 8= = AB AD = 9 8= 9 = l//m//n 9 =, 9=8 = p. 8 AB AC =BD CD =8, 8= = =, = =9, =9 0 8 p. 9 8 ABCEOC BCA= OCE ABC= EOC=90 ABCª EOC(AA ) BC OC =AC EC 0=0 EC, EC =00 EC = cm BC // DE 9 =(8+) 8, = = 8 =, 8=8 = BC // DE (-)=0, 0-0=0 =9 0 =., = =9 9 M ABC A M =B M =C M = BC AB AE =AC AF AC AF =CD FG AB AE =CD FG 9= FG FG = cm = _(+) =0(cm) D M =-0=(cm) ADM D M =E M _A M =0E M E M = 8 cm BD DA =BF FC = DF // AC BD B A =DF AC =DF AC DF = AC (-)= 0-0=0 =8 0

77 0 0 =9, 9=0 = 0 AB AC =BD CD 0 8=, 8=0 = cm p. 0 AD =DB, DE // BC AE =EC AE = _0=(cm) ABC MQ = BC = _=8(cm) ABD MP = AD = _=(cm) PQ =MQ -MP =8-=(cm) CG G M = G M = G M = =+=9 ABC M MA =MB =MC =9 =9+9=8 BD =DC ABD= ABC=(cm ) AG GD = GBD= ABD=(cm ) 9 ABC EP = BC = ACD PF = AD = EF =EP +PF =9 =8, =9 = _=8, = _8=9 cm ABC= AGC =_8=(cm ) cm =9, =8 cm p. DE = AC =, EF = AB =, FD = BC = DEF = ++ =9 E A BC AC G E G EG = BC = _=8(cm) F B cm C D EFG DFC(ASA ) CD =EG =8 cm 0 8 cm 9 ABCDEF= 9 8DEF= 9 DEF= DEF=8 cm 8 = = = =8 00 m p. 000= cm =0000 cm=00 m 9 cm ml km p. O, O' = 9 GMNª GCB(AA ) G ABC 0

78 0 0 GCB= GMN ABC= GBC= GMN ABC GMN = V cm = V V= cm = V ml = V V=0 ml 0-=(mL) a cm b cm a= 0000 a=00000 cm=000 m= km 0000= b b=0000 cm=00 m=. km _.=(km ) AD AB =DF BG 0 AB =. AB = AB = cm AD AB =AE AC 0 =8 AC 0AC =0 AC = cm AB CD =BP DP BP DP =9 = BP BD =PQ DC 8 = = BP PD =BQ QC =(-), =(-) =- = 8 += + = p. ~ cm m//p, n//p p (+)=, (+)=9 +=9, = = 9 {+ } =, =8 = B E F A AC 8 AD F FAB= EAD AFB= DAC B C EAD= DAC FAB= AFB ABF BF =BA =8 FB // AC FB AC =BD CD, 8 =(+) 8=0+ = AC AE AB =EG BC =EG 80 EG =0 EG =0 cm CF CD =GF AD =GF 0 GF =0 GF =0 cm =0+0=0 EF = BC, GH = BC EF +GH = BC + BC =BC = AC =BD = cm EF =GH = AC = _=(cm) FG =EH = BD = _=(cm) EFGH =_=(cm) CAD AD =EF =_=(cm) AG = AD = _=(cm) GABC E B A 0 cm cm 80 cm l m p n D D G F C 08

79 GD = AD = _9=(cm) G'GBC G G' = GD = _=(cm) =0 DE DE =0 cm B 0 cm 0 cm A 00 cm 800 cm C D E 0 BDG= ABC= _0=(cm ) BDGBFE = 9 BFE= 9 BFE= cm GDFE= BFE- BDG = -= (cm ) PABC AP A M = QACD AQ AN = PAQ APQª AMN(SAS ) APQAMN 9 AMN= 9, AMN=08 AMN= cm PMNQ= AMN- APQ =-=(cm ) A, B 9 = = =0, =0 = +=+= = 8 A, B, C 9 (C )= 9 (C )=8 cm QR EF = PQR BEF BEF= BEF= cm 00000= =cm p. ~ cm 0 cm cm =, = cm 8 cm 9 9cm 0 cm ABE= ABC=(cm ) DBE= ABE=(cm ) AEC= ABC- ABE=8-=(cm ) FEC= AEC=(cm ) ABF= ABC=(cm ) ADF= ABF=(cm ) DEF= ABC-( DBE+ FEC+ ADF) =8-(++)=(cm ) F A BC AB, CD I, J 0 G I AF AE =IF BE =IF IF = FJ =IJ -IF =0-=8 GF FH =IF FJ = 8= B BF FC = BC =FC DE = BC DE =FC QFC QED QED= QFC=_=(cm ) DQ QC = EQC= QED= _=(cm ) ADE= DCE=+=8(cm ) ADQE=8+=0(cm ) F E H J C D 09

80 8 9 A-DMG = _ DMG_ = DEF_ = _=(cm ) 8 AC EF A C BE BA =EF AC = BD BA =DG AC = EF DG AC = D E B G F - = - 89 ABE 9 = = ABC 9 =(+) = BC, CD A M, N AE A M =AG AN = F G D E AEG AMN B H N EG = MN M C MN = BD EG = _ BD = BD A-BCD E-FGH 00 E-FGH=900_ = (cm ) A BC cm A B CD E MN F M AE F N ED =+=(cm) E D cm C cm F M = (+)=(cm) MN =FN -F M =-=(cm) BCE= ABC= _8=(cm ) P EBC PBD= BCE= _=9(cm ) 8 0 AB AC =BQ QC BQ QC = BN =NC NQ QC = NPQ CAQ NPQ= CAQ= ABC=(cm ) Part p. 8~9 0 GF =, IH = Part 8. mm, 0 mm 0 mm, 8. mm GD = cm, EG = cm 0 cm 80 m Part = = =0 0 ADCª EFD(AA ) AD EF =AC ED = AEDª EGF(AA ) ED GF =AD EF = GF = GF ={ } = EFDª GHF(AA ) EF GH =ED GF = EFGª GHI(AA ) GF IH =EF GH = { } IH = IH ={ } = KJ ={ } = 080

81 Part 8. mm 0 mm 0 mm 8. mm 0 0=9 8.= A A GF IH KJ AG GD = GD = GD = cm AG AD =EG CD =EG EG = cm ABD= ABC = _90=(cm ) AFG ABD 9 AFG= ABD 9 =0(cm ) GD EG AFG cm cm 8 cm 0 g AB DE =BC EF 9 = EF EF =8 cm AC DF = C= F D= A=0 E+ F=0 = 8, = = =., = = +=+=8 PF FC = BD BC =BE B A =B BDEª BCA(SAS ) ED AC = AC =, AC = AC =. cm p. 80~8 ABDª AHFª CHDª CBF(AA ) ABD ABC PQ = AC ACD RS = AC PQ =RS ABD PS = BD BCD QR = BD PS =QR PQRS AC =BD PQRS AC BD PQRS 8 9 BQ = cm BPQª CFP(AA ) BP CF =BQ CP 8 = 8, = = cm cm 0 cm F cm AD =BD _DC = =9 AB =BD _BC =9_= = +=9+= AD =BD _DC AD = AD = cm M ABC A M =B M =C M = cm E A B Q D 8cm P 8cm C 0= 80 80= =00 cm= m ADM AD =AE _A M = AE =_ = (cm) AE 08

82 0 EC EB =GC HB ABCD EFGH 9= HB HB = cm AH =AB -HB =-=(cm) - EFGH = AB BD =AC CE AC CE = = AD DF =AC CE DF = DF = AD DF =AE EG AE EG = AF FH =AE EG 9 = =. 9 0 BEFCED BEF= CED FBE= DCE BEFª CED(AA ) BE CE =BF CD = CD, CD =8 CD =AB =. cm 8 AB BD = = AC CE = = BC // DE =8, 8= A D cm l 9 cm 8cm = E F G m cm cm cm AC n B cm C 9 {+ }=EF, EF =8 EF =8 cm =FG, FG = FG = cm =EF +FG =8+= 9 += += MQ = BC =(cm), MP = AD =(cm) PQ =MQ -MP =-=(cm) AC BD O BO =DO = cm PABC PO = BO =(cm) QADC QO = DO =(cm) PQ =PO +OQ = cm AC RABC PBQR= PBQ+ RBQ= ABC = ABCD= _= AD AB =AE AC 9 =AE, AE = AE = cm CE =-=(cm) ABC AP A AB AC =BP PC 0 = PC, 0PC =80 PC = AQ A AB AC =BQ CQ 0 =(9+CQ ) CQ, CQ +=0CQ CQ = CQ = BG EG = DG HG = AG GD = AG GD HG = AH HG GD =(-)= V cm V 0=, V=80 V= cm 0-=8(cm ) 9 8 g 00 =8, 8=0800 =0(g) 08

83 p. ~ ; ; 0.0kg <0.0kg 0, 90 <00 = - =0.8-0.H 8 = = = , -,.H=,.8 0, 9 -.H,.8 =0.00=0.H0H =_ = = = = 8 _ 8 = = 9 = _ _ _ _ 0.cm =0._ =0.0(cm) L =_ =0.(L) 0.æ =0._ =0.0(æ) m =_ =0.(m)=0(cm) 0.kg =0._ =0.0(kg)=0(g) 0 _A= _A _ _ _ _ A _= A =0_ =(g)=0.00(kg) < kg <0.0kg 0 a a=, 9 a +9=, 0, 0,,, 0,, 0, HH= =a a= =0.H0H _0 =000,, 0 00 =00_ = < <00 09 p,, 0, 0 00 cm 0.00_0 cm 08

84 p. ~ ab -8b b= S-c a fi fl 8 ( ) _( ) = = +_ - = +_ -=8 _ =0 = a b { } aω b = 8afl b = aω b =, =8, z= ++z=+8+=8 _(-) =8 z_ =8 fl z 8 fl z = = z z = =(--) +(-++)++8 = , (-)+=- =(9a b -ab ) ab 9a b =(9a b -ab )_ ab =9a b _ -ab _ ab ab =ab -8b A A+( -+)= -+ A= -+-( -+) = ( -+)= (+a-)(-+) = +(a-)+-a +(a+0)- +(a-)+-a+(a+0)= a+9=, a=- a=- (-a) = -a+a -a=, a =b a=-, b=9 a+b=-+9= (-+) = -+ (-) = -+ (--) = ++ -(+) =-( ++ ) =- -- -(-) =-( -+ ) =- +- -(-+) =-( -+ ) = _00=(000-)(000+) =000 - =99999 ( a+b) (a-b)=a -b {+ } = ++ + = {+ } =9 + = ( >0) (A+B)-(A+B)=A+B-A-B =A+B =(-a+b)+(a-b+c) =a-b+c S S=pr( a+r) a+r= pr S a= -r pr S=ab+c S-c=ab b= S-c a 08

85 p. ~ : 00 m, : 0 m 09 0 a -, 0 += =,,, A={(9, ), (, ), (, )} n(a)= +=0 =-a, =a+ -a+(a+)=0, -a= a=- -= =a, =b += a-b= a+b= + _ a=0, a= a= +b=, b=- a-b=_-(-)= A;B 0.+0.=0.(-) 0 +=(-), -= -= _- -= =- =- --= =- A;B={(-, -)} = -=a+ += = 9 0 ;{;-;};=;!; =a+ 8= a=- -= =- -(-)=, -=- = = =- =, =- a=-b+ a-b= -b+-b= b= b= a= a-b=-= % 8% g, g +=00 ; 0 0;+;0*0;=;0(0;_ =00 _- =800 =0 8% 0 g m, m +00=0 +900= - -00=- =0 =0 +00=000 =00 00 m 0 m a+<b+ a<b -(-a)<-(-b), -a>-b, -a>-b a<b a-<b-, a<b a<b a b a b - +>- +, - >- a<b -a- <-b-, -a<-b a>b -<, -8 -<, - -< - A< 0.- <+ 0 0-<0+, -< >

86 ->8 -> <- a->a a>a+ a<0 a+ < a a+ =- a a+=-a a=- -9< < A={ <} -< >- B={ >-} A-B={ -} + + +æa - æa- a- - a - p. 8~ =90-0 = (+) = ( -) = 0 =0, = =0-0. =--+b =-, = =-+b b= < <- > <, (+) 0 +<0 0 < 0 < = =- + =0 = =0 = B OAB O = =, - =, k-=8 -(-) k- k- k=9 A (-, ), (, ) - =- -(-) =- +b =, = =- +b, b= (-, ), (, ) =- + =k, =- -=- k+ k=9 =a+b,, 08

87 =a<0, ()=b>0 a =- -b b --+=0 a=-, b=- ab= a =- >0, b ( )=-b<0 =+b =-, =- -=-8+b, b= =+ =+b =-, = =-+b, b= =+ -(-) 0 = = = -(-) =+b =, = =+b, b= =+ =a+ =, =0 0= a+, a=- =-+ =-+ =+ - a==- - =0 0=- -, =- - m=- --=0 =- =0 = =- =-+ - O - -(-) = =- -- =- +c =, =- -=- +c, c= =- + O =mm = =-+, A = -, =- H - O =-+ =- B -- = =- - A(-, ) = - =- =- B(-, -) ABC= _AB _CH = = a+=- =, = -=b a+=-, a=- -=b, b= a-b=--=- -= a+=- =--- =-, =-a-, -a= a=- -= ;#;-b= = -, = - b b b= a+b=(-)+= m =90- =0 =90-0=90- =0 0 0 m 0 C =-+ 08

88 p. 0~ _= +=8 _ = =0 0-= =-( ) =- = 0 0,, 9 0,,, 0 + = _= = k a=b (a, b) (, ), (, ), (, ), (, ) = k a=b (a, b) (, ), (, ) = k a=b (a, b) (, ) = k a=b (a, b) (, ) = A B A C A, B D B, C =8 A -p =0 ( )_=8 8 = 0 8 = _ = = 9 _ = = 9 _ = _ = + = 0 0 _ = % 0 08 =8 _= _= = 8 _ =0 _ = _ = 0 9 = - =-{- }{- } =- _ = 088

89 p. ~ cm =0, =0 0 0 a+b a, b a=, b= a+b= a, b ABC= DEF ab=0 b=0 0 B A C E D F BOC=_8 = = _(80 - )= I ICB= ICE DE // BC EIC= ICB ICE= EIC EIC EI =EC = cm IBD= DIB DBI DI =DB = cm DE =DI +EI =+=(cm) r cm r ABC )= _ r 8= (++) r=8 r= I =p_ =p(cm ) 0 09 A= B AB= A+ B=80 A=80 _ =80 9 C= A= ACB= _(80-80 )=0 ACD= _(80-0 )= BCD BDC= _(80 - )=. ABD ABD+ BAD=90 DAE BAD+ CAE=90 ABD= CAE ABDCAE AB =CA, ADB= CEA=90, ABD= CAE ABD CAERHA EA =DB =cm, DA =EC = cm DB // EC DBCE DBCE= _(+)_=(cm ) ABC= DBCE- DAB- EAC =- - =(cm ) 0 A D D 0 A B A 0 0 C D O B C A B D C A+ B=80 ( +_)=80, +_=90 ABE AEB=80 -( +_)=90 HEF= AEB=90 EFGH E= F= G= H=90 EFGH B C 089

90 BAD=80-80 =00 PAD=00-0 =0 AP =AD = _(80-0 )=0 PBC=80-0 =0 BP =BC BPC= _(80-0 )=80 = =0 EICEJD EC =ED ECI= EDJ= IEC= IEJ- CEJ=90 - CEJ JED= DEC- CEJ=90 - CEJ IEC= JED EIC EJDASA EICJ= EIC+ ECJ = EJD+ ECJ = ECD = ABCD = = AC BD p. ~ cm cm 8 0 cm D= A AD AB =AB AE (+ED ) 0=0 = (+ED )=0 ED = ED = cm 9= B cm = = B p_=p(cm) AB DE =OA OD ABCDEC C ABC= DEC ABCª DECAA BC EC =AC DC 9 =(+), (+)= += = Q-R+u H P Q S R 0 AGEª ADCAA AG AD =AE AC 8=AE 0, 8AE =0 AE = cm OBC= cm OA OC = OAB= = OCD OAD= OCD= 9 ABCD= cm = 9 = =8 9 BOC 8 cm 0 08 AB AC =AC AD = AD, AD = AD =9 cm AB AC =AD AE =9 AE AE = AE = =.(cm) ACB= CBD=90 AC CB = = CB BD = 9= ACBª CBDSAS AC CB =AB CD = =0 =0 090

91 09 AB _AC =AD _BC = _= _= = AG GD = = = +=+=9 BEFª BCAAA BE BC =EF CA 8 BC =, BC =9 BC = cm ABCª DACAA AC DC =BC AC, DC =, DC = DC = cm ED =BC -BE -DC =-8-=0(cm) ADEª ABCAA AD AB =DE BC = BC BC = cm FC =BC -BF =-=(cm) AODª COBAA AD BC = 9 COB= 9 COB= cm BO DO = ABOAOD= ABO = ABO= cm COD= cm ABCD= AOD+ ABO+ COB+ COD =+++=00(cm ) I CD C CA CB =AD DB CA =8 0, 0CA =0 CA = cm BE B BC BA =CE AE 8=(-) AE, =(-) AE AE =-AE, AE = AE = cm = 0, = = =, = =8 +=+8=0 PS = BD =(cm), PQ = AC =(cm) PQRS PQRS=_=0(cm ) PE = cm CPEª CDF DF = cm ADFª ABE BE =DF =(cm) =+, = = DF ==0(cm) ABC= BGA= BGM =_=0(cm ) BEFª BAD BE BA = AD =EF =(cm) AG = AD =8(cm) =0, =00 = OAB OCD 9 OAB 9-= = =00 00 B= D=90, ACB= ECD ABCª EDCAA cm 0 00=0 =0 =0 A 0 cm 0 cm E B C 00 cm D 0 cm 09

92 p. ~ fl -a-b+c 0.HH A p+ A =0.H8H 8 =8_+ 8 _ = = = =0. 0 _ 0 = a _.H= - 90 = - =0.- = = = cm =0._ =0.0(cm) a.-0.0 a<.+0.0.cm a<.cm.0_ =0.00,, _ = fl = _ = (- ) =(- fl ) =-8 _ (- )= _ = _(- ) _(- ) = =- = = , - (-8)+(-)=- 9 = {- ++ }_{- } =8-9+=A ( +-) =(A-) =A -A+ =(+) -(+)+ = a=-, b= a+b=-+= (+) -(-) =( ++)-( -+) = = +8- a=8, b=- a+b=8+(-)= = = =a, =a(a+0) - = - a-_a = _a-a a-a -a = = =- a-a a 09

93 8 9 V=pr h pr V h= pr, 8, 0.08=.8_ 0 a=.8, n= a-n=.8 p. ~ a<0.8 0 S-a n= ar 0 = 9 9 =( ) = =( )fl =fl =X+Y-X-Y =-X+Y =-(a+b-c)+(-a-b+c) =-a-b+c-a-b+c =-a-b+c 0-0.H0H= = = H9= = = , =0.=0.HH = = = 0 _ 8 = = _ _ = _ _ { + + +} =( ) = =0. =0.H= 9 a=9, b= a-b=9-= = -0.0H= = - = =0.H ={- } + = + = 0 0 =0-= - = + 0 =0_ =(g) 0- <0+ g < g 09