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第二十一章二次函数与反比例函数(单元测试·拔尖卷)(解析版)_2026语数英7-9年级上《举一反三系列》多版本_2026《初中数学•举一反三系列》9上多版本

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第二十一章 二次函数与反比例函数·拔尖卷


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 = 0.15(0.45(0.75(1.05(1.35(1.65,1.95($ 7 Ð(
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ĐļMŐŬŰűŲ 14 Ð(
UØ
14 
15 #3 *-#2025·¹Žžſ·¯ê-ž„Ÿ ¡t
4©(„ = 
ƀƁ =


 < 	ÔÕc
5(WÏÁ(÷©Á5›3s­ Ù$( )ØƀƁ =


 < 	‰Á(„$5($W*¦Õƒc'(
)ÏÁ(n4'4) 78Ø       
4
*;<¾¿À014017¢‘(GH3Ƃ7ƃ;{|2Ƅ;7I Ù5( )
nW( )(*¦ĸÎÛ5$(W$7Ç(ź
 = 0MŊŋÛ4'™4)7Ö(ÔŌQMNܐ٠
R
Ù5( )nW( )(
ل5$7ÇØ
 = S
 + G(ÅÆ$( )(5( )
n
S + G = 
S + G = 2
 
(
                                                                           
                                                                       
N
S = 2

G =  

 
(
„5$7ÇØ
 =
2



 (
4' = 

 (
لW$7ÇØ
 = X
 + A(ÅÆ$( )(W( )
n
X + A = 
X + A = 2
 
(
N
X = 

A = 

 
(
„W$7ÇØ
 =


 +

    (
4) = 

 (
 8 () = (
 = (
4'4) = 


+


=  () + 

+ () + 

=  +  + 2
= 4(
UØ
4 
16 #3 *-#23-24 ”WX‰·¸¹ƅƆ·]^-3401 = 
 +G
 + N G Nؚ1(OG  0)«¬
(1,0),(
",0)(401 = ||
 + N«¬(
,0)(401 = |G|
 + N«¬(
,0) _`* < 
" < 7  < 

<  + 1(S < 
 < S + 1(÷© SØĴ1(n + S78Ø      
 
                                                                           
                                                                       
,: 5/5 :,
*;pq<=3401401¢‘ KL3401b‚ƒ7{|(401 ¡ƒ7Õ
Á ¡ėÇŊŋQM 
RY3401 = 
 +G
 + N G Nؚ1(OG  0)«¬(1,0),(
",0)(
 + G + N = 0(
G
 =
1
"
2
=
1
2 +

"
2 (
* < 
" < 7(
 < 
G
 =
1
2 +

"
2 < 
3
2(
7 < 
G
 < (
3 <
G
 < 4(
1
4 <

G <
1
3(
401 = ||
 + N«¬(
,0)(401 = |G|
 + N«¬(
,0) 

 = 
N
||(
 = 
N
|G|(
Š >  G > 0u(

 = 
N
|| = 
N
 = 
G

= 1 +
G
(
 = 
N
|G| = 
N
G = 
G
G
=

G +1(
4 < 
 = 1 +
G
 < 5(
5
4 < 
 =

G +1 <
4
3(
 < 
 <  + 1(S < 
 < S + 1( SØĴ1(
 = 4, S = 1(
ġu + S = 5³
Š <  G < 0u(3 <
G
 < 4(
1
4 <

G <
1
3(

 = 
N
|| =
N
 =
G

= 
G
(
 = 
N
|G| =
N
G =
G
G
= 

G(
* < 
 = 
G
 < 7(
4
3 < 
 = 

G < 
5
4(
 < 
 <  + 1(S < 
 < S + 1( SØĴ1(
 = *  S = (
ġu + S = ,³
UØ
,: 5
Ⅱ
¯ #$ 8 '()* 72 *-
                                                                           
                                                                       
17 #6 *-#24-25 VWXY·¸¹ƉƊ·]^-›„Ÿ ¡t©(¾¿À01" =
"

 #"ؚ1("  0-
7rs401 = 
 + G#(Gؚ1(  0-7rsÕcÁ(2,3)(#( ) 
(1)Ú m 78™4017ĸĆdz
(2)Š" > u(„ĶƋÛ x 7o8de³
(3)aÁ5( G)™ÁW(N X)›01"7rs‰(O + N = 6(ÙU =
1
G
1
X(Š1 <  < N < 5u(Ú P 7o8d
e 
(1) = ( = 
 + 1
(2)
 < :0 < 
 < 2³
(3)
2
3 < U < 0 
*;<=¾¿À01401¢‘(EFGH¾¿À014017{|2ġ7I 
#1-ŷDĞ9t1ęÚQM³
#2-~01rsQMN³
#3-~hMNG =
6
(X =
6
N(~ + N = 6NN = &(ĸÎÛU =
1
G
1
X =

3 (‘1 <  < N < 5(Ŋŋ
QMN 
R#1-
ÄÁ A  ¡Åƾ¿À01ĸĆÇN
" = 2 × 3 = 6(
ª“¾¿À017ĸĆÇØ" =
6

 
ÄÁ B  ¡Åƾ¿À01ĸĆÇN
 = (
ª“Á B 7 ¡Ø( ) 
Ä A(B ÏÁ ¡ÅÆ401ĸĆÇN
2 + G = 3
 + G = 
 
(
N  = 1
G = 1
 
(
ª“4017ĸĆÇØ = 
 + 1³
                                                                           
                                                                       
#2-
~01rsM`(Š" > u(x 7o8de2

 < :0 < 
 < 2³
#3-
Á5( G)™ÁW(N X)›01"7rs‰(
G =
6
(X =
6
N(
~ + N = 6N
N = &(
U =
1
G
1
X =

6
N
6 =
N
6 =
(&)
6
=

3 (
1 <  < N < 5(
1 <  < & < 5(
1 <  < 3(

2
3 < U < 0(
P 7o8deØ
2
3 < U < 0 
18 #6 *-#2025·ƌƍƍŐ·êëìí-›ž„Ÿ ¡t©(_`€ L
 = 
 +
«¬
( )( y ƒÕcÁ B(ĵĶ4(# 
(1)Ú a 78¥Á B 7 ¡³
(2)Ä€ L ĦNÜ€Z[(ٝĦĻÁ A(B 7bCÁ*¦Ø[(#[(aĦĻ€Z'7ÓÁƎ›
x ƒ‰(OQP.[R2 =
3
2QP.22[(ڝĦĻ€Z[7ĸĆÇ 
(1) = (# 	
(2) = (
 + 3): = (
*)
*;pq<=3401rsŎŏjƏ?34017{|?3401rs‰Á7 ¡ÂÃ(
uqEFGHvwxyzD34017{|2I 
#1-}Lh(ÄÁ 	ÅÆ€ = 
 +
©(nMN78(’ŽMN€7ĸĆÇØ
 = 

 + 3(ĺĻź
 = 0(n = 3(’ŽMN#7 ¡³
#2-}Lh(~#1-€7ĸĆÇØ = 

 + 3 = 
 + 1) +4(MN€Z7ÓÁ ¡Ø
                                                                           
                                                                       
 7	(…ĦĻ€Z7ÓÁƎ›
ƒ‰(U€ZˆYĦ= 4 ĨœŔ(nMٝĦĻ€Z[7ĸ
ĆÇØ = 
 + >	(‘ 	(# 	(MNÁ[(#[7Ɛ ¡ÈØ(UÁ[7ĩ ¡Ø>(
Á#[7ĩ ¡Ø> + 1(ŽQP.[R2 =
1
24# 8 |
.
[| =
3
2%>%(Q].22[ =
1
2#|22
[| = 4(…QP.[R2 =
3
2
QP.22[(n
3
2%>% = 6(ÚÛ>ĻQM£¤N 
R#1-
~h(ÄÁ 	ÅÆ€ = 
 +
©(
 77 = 3(
  = (
€7ĸĆÇØ = 

 + 3(
ź
 = 0(n = 3(
# 	³
#2-~h(€7ĸĆÇØ = 

 + 3 = 
 + 1) +4(
€Z7ÓÁ ¡Ø 7	(
ĦĻ€Z[7ÓÁƎ›
ƒ‰(
€ZˆYĦ= 4 ĨœŔ(
MٝĦĻ€Z[7ĸĆÇØ = 
 + >	(
  	(# 	(
Á[(#[7Ɛ ¡ÈØ(
Á[7ĩ ¡Ø>(Á#[7ĩ ¡Ø> + 1(
 QP.[R2 =
1
24# 8 |
.
[| =
3
2%>%(Q].22[ =
1
2#|22
[| = 4(
…QP.[R2 =
3
2QP.22[(

3
2%>% = 6(
> = 3:*(
ĦĻ€Z[7ĸĆÇØ = 
 + 3): = 
*	 
19 #8 *-#24-25 VWXY·•ƍūƑ·]^-¢‘łƒ
īńƓ
.r(ħ2ě7hƔƕ¡1 y ‹uē x#œŔ
*Ɩ-7jĂƗƘ7rs(÷©#(#$2
¼($(ØƀƁ›s­f7Ĕ* 
                                                                           
                                                                       
īƄ
(1)ځ¼#™ƀƁ$(ªĸÎ701ĸĆÇ(v*¦ƋÛijk x 7o8de 
(2)ƙÒ`ƚ(ƛńŅY(›Ɯ 45 *Ɩ7Ɲ©(ě7hƔ‹uē7jÎjĂ(ě7hƔƕ¡
1ƞ(hƔƟƞƠ© ù¬Ŋŋb¿‰ƝĻ7 3 *Ɩ™ 30 *Ɩ(ěhƔơĨƢŨƠ© 
(3)_`ƣƤqƥĨƦq`ĠÁ³Ø=IJěƧƝƨ/ƢƩ(qÚě7hƔƕ¡1ŗNƪc 40(ƣƤ
ƫƬ›ě7hƔĆܪŖƭƮYƥƯ(ư„ĶƋÛƣƤƥħĨ`ĠÁĐƩŐƱ›Ʋ6uē¼ #Ƴ
ƴ؛uē¼fwƥƯ-
(1) = 
 + 30(0  
  10)³ =
1000

 (
  20)
(2)ě‰ƝĻ7 3 *Ɩ¿‰ƝĻ7 30 *ƖhƔƢŨƠ©
(3)5  
  25
*;pq<=401¾¿À017łŻCD(¶·åh27I 
#1-ÙÛbC7Ç(ŷDĞ9t1ęÚQM³
#2-*¦ÚÛ
 = 3™
 = 30u7018QMNܳ
#3-*¦ÚÛÏĨ017018ğc 40 u x 78‘rsQMNÜ 
R#1-
ف¼#701ĸĆÇØ = 
 + G(
Ä(0,30)(#(10,50)ÅÆ(N
30 = G
50 =  + G
 
(
N
 = 2
G = 30
 
(
¼#701ĸĆÇØ = 
 + 30(0  
  10) 
ÙƁ$(701ĸĆÇØ =


(Ä$(20,50)ÅÆ(N = 50 × 20 = 1000(
Ɓ$(701ĸĆÇØ =
1000

 (
  20) 
#2-Ƶ
 = 3ÅÆ = 
 + 30(N = 2 × 3 + 30 = 36(
Ƶ
 = 30ÅÆ =
1000

 (N =
1000
30 =
100
3 
                                                                           
                                                                       
36 >
100
3 (
ě‰ƝĻ7 3 *Ɩ¿‰ƝĻ7 30 *ƖhƔƢŨƠ© 
#3-
Š
 + 30 = 40(N
 = 5(
Š
1000

= 40(N
 = 25(
‘rs(qÚě7hƔƕ¡1ŗNƪc 40(n x 7o8de25  
  25(
ŐƱ› 5 *ƖĜ 25 *Ɩ 
20 #8 *-#2025·ƶÊƶ‡·¯ê-.r(›ž„Ÿ ¡t©(€ = 
 +G
 + N(  0)«¬Á( )
™#(0,3)( x ƒ7ƷĨÕÁØÁ C(÷ÓÁ D 7ĩ ¡Ø 1 
(1)Ú€7ĸĆdz
(2)Ú°ıà$(#7žō³
(3)a„
 =  x ƒÕcÁ N(›s­f€ÕcÁ M(Š m oŏ8u(IJNW + 5WmЍ
8(vÚÛЍ8³
(4)Š  
  Su(34017Ѝ8Đ'87ƸØ 9(Ú n 7o8de 
(1) = 
 +
 + 3
(2)9
(3) =
3
2u(W + 5WЍ8Ø
25
4
(4)1  S  4
*;pq<=3401¢‘(34017Đ8ī(Ğ9t1ęÚ01Ç(ŷD*ƹƺŁ
7ŸŹÚ27I 
#1-KLÓÁĩ ¡Ø 1 MNb‚ƒØ„
 = 1(LġŷDb‚ƒŊŋǐ‘Ğ9t1ęÚQM³
#2-ÚÛ C?D 7 ¡(ĵĶ4((KLQ四边形.0/2 = QP.R2 + QPR2/ + QPR0/ėÇÚQM³
#3-ÚÛW(5W7Ö(’ŽÚÛW + 5W7Ö(PŷD34017{|ÚQM³
                                                                           
                                                                       
#4-* < S < 1(1  S  4(S > 4(¯ðńŅKL34017ŒŌ{(ĸÎÛbCńàY017Ѝ
8™Đ'8(‘Ѝ8Đ'87ƸØ 9 ƺŁÚQM 
R#1-
€«¬Á( )™#(0,3)(OÓÁĩ ¡Ø 1(

G + N = 0
 G
 = 1
N = 2
 
(
N
 = 
G = 2
N = 3
 
(
€ÇØ = 
 +
 + 3 
#2-
ź = 0(n
 +
 + 3 = 0(N
" = (
 = 3(
$(3,0)(
Š
 = 1u( =  + 2 + 3 = 4(
((1,4)(
.rªÎ(ĵĶ4((
QP.R2 =
1
2 × 1 × 3 =
3
2(QPR2/ =
1
2 × 3 × 1 =
3
2(QPR0/ =
1
2 × 3 × 4 = 6(
Q四边形.0/2 = QP.R2 + QPR2/ + QPR0/ =
3
2 +
3
2 +6 = 9 
#3-
Š
 = u( =  + + 3(0 <  < 3)(
5W =  + + 3(W =  + 1(
W + 5W =  +  + + 3 =  + + 4(
 < 0(
Š =
3
2u(W + 5WmЍ8(Ѝ8Ø
3
2

+3 ×
3
2 +4 =
25
4 
#4-
b‚ƒØ„
 = 1(
€‰ĩ ¡Ø7Ác„
 = 17b‚Á7ĩ ¡Ø 4(
                                                                           
                                                                       
①Š < S < 1u(
Š
 = Su(Ѝ8ØS +S + 3(
Š
 = u(Đ'8Ø*(
S +S + (*) = 9(NS" = S = 1#S- 
②Š1  S  4u(
Š
 = 1u(Ѝ8Ø 4(Š
 = u(Đ'8Ø*(
7(*) = 9(
1  S  4³
③ŠS > 4u(
Š
 = 1u(Ѝ8Ø 4(Š
 = Su(Đ'8ØS +S + 3(
7(S + S + 3) = 9(
S = 4#S-(S = #S-
¢‰ªƻ(n 7o8deØ1  S  4 
21 #10 *-#24-25 VWXY·¸¹ƅƆ·]^-›ž„Ÿ ¡t©(a017rs«¬ƼàÐbŸ
7ÏĨĕÁ(n9>012ħĨƼà7“bŸ01” 
(1).r 1(Ƽà#$(›s­(#^
ƒ(( ^ ƒ(O# = 4(#$ = 2 
①aÁ7 ¡Ø(2,1)(401 = 
 + G2Ƽà#$(7“bŸ01”(nħĨ01ÇØƽƽƽ³
②a¾¿À01 =
16

 (
 > 0)2Ƽà#$(7“bŸ01”(Ú$Á7 ¡³
(2).r 2( Ƽà#$(›s­(#^
ƒ(( ^ ƒ(OÁ7 ¡Ø(1,2)(¶¿À01" = 
«¬Á
(O2Ƽà#$(7“bŸ01”(¾¿À01 =


(
 > 0)«¬Á#(O2Ƽà#$(7“bŸ01” Š
4$ > 4u(ÄƼà#$(ƾ$ƿǀ(Á#7bCÁØ'(aÁ'Ǝ›ƒ‰(Ú78 
(1)① = 
1
2
 + 4: =
1
2
³②$(8,4)³
(2)
16
3
                                                                           
                                                                       
*#1-①KLhJÚÛ((2,3) #(6,1) $(6,3)(ĺĻ*ÏðńŅ(v‘Ğ9t1ę(QMÚ
³②Ù( _ 
16
_ (nÁ$ _ + 4,
16
_ (Á _ 
16
_  (ŽNÜÁ# _ + 4,
16
_  (PƵÁ B 7 ¡Åƾ
¿À01Ç(MÚÛ s 78(QMÚ³
#2-JÚÛ¶¿À01ÇØ" = 
(MÙÁ$( )(n#( )((( )(ŽNÜ# = ,
#$ = (P~ƿǀ7{|MN' = # =  $' = #$ =  L#$4 = L'$4(ǁÖ#Õ y ƒcÁ
F(‘Ƽà7{|MNL'4$ = L'$4(') = 7(ĺĻ›Rt P ')©(ŷDãä9åÚÛ m 78(Q
MÚ 
R#1-
①Á7 ¡Ø(2,1)(#^
ƒ(( ^ ƒ(O# = 4(#$ = 2(
Á((2,3) #(6,1) $(6,3)(
Š„ = 
 + G¬Á B(D u(
Ƶ((2,3) #(6,1)(ÅÆ = 
 + GN
 + G = 3
& + G = 1
 
(
N
 =  1
2
G = 4
 
(
Ģ01ÇØ = 
1
2
 + 4³
Š„ = 
 + G¬Á A(C u(
ƵÁ(2,1)($(6,3)ÅÆN
 + G = 1
& + G = 3
 
(
N
 = 1
2
G = 0
 
(
Ģ01ÇØ =
1
2
³
¢‰ªƻ(Ģ01ÇØ = 
1
2
 + 4: =
1
2
UØ
 = 
1
2
 + 4: =
1
2
②°ıà#$(2Ƽà(
$( = # = 4($(^#^
ƒ(
¾¿À01 =
16

 (
 > 0)2Ƽà#$(7“bŸ01”(
Á B(D ›¾¿À01 =
16

 (
 > 0)7rs‰(
                                                                           
                                                                       
ÙÁ( _ 
16
_ (nÁ$ _ + 4,
16
_ (
( ^ ƒ(O# = 4( 
Á _ 
16
_  (
#^
ƒ( #$ = 2(
Á# _ + 4,
16
_  (
Á B ›¾¿À01 =
16

 (
 > 0)7rs‰(
(_ + 4)
16
_  = 16(
N
_ = 6#ST-:_ = 4(
Á$(8,4)³
#2-
Á7 ¡Ø(1,2)(¶¿À01" = 
«¬Á(
 = 2(
¶¿À01ÇØ" = 
(
¶¿À01" = 
2Ƽà#$(7“bŸ01”(
MÙÁ$( )(n#( )((( )(
# = ,#$ = (
ÄƼà#$(ƾ$ƿǀ(Á#7bCÁØ'(
' = # =  $' = #$ =  L#$4 = L'$4(
.r(ǁÖ#Õ y ƒcÁ F(
#^
ƒ(
Á)(0,2)() = 1(
4) = 2(
°ıà#$(2Ƽà(( ^ ƒ(
L(# = +M #$^(^ƒ(
                                                                           
                                                                       
L') = L(# = 90°(L#$4 = L'4$(
L#$4 = L'$4(
L'4$ = L'$4(
4' = $' = (
') = 4'4) =  = 7(
›Rt P ')©() +') = '(
1 + (7) = ()(
N
 =
8
3: 2(
' > )(
 > 1(Q > 2(
 =
8
3(
Á#
8
3 ,2 (
ƵÁ#
8
3 ,2 ÅÆ =


(
 > 0)N
 =
8
3 × 2 =
16
3 
ÁĽ;<=Ƽà7{|(¾¿À01(401(ğ흟à7{|™£9(ãä9å(@
34AB(å“bŸ01”(ŷD1à‘ŸŹÚ27I 
22 #10 *-#24-25 VWXY·ľƍÊƉ·]^-¢‘łƒ
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ŐǂDĀ(ǃDŽDžĺ
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LJ
šWLj(‹ljĀĉi®NJNjmkŗ¤Œļ(njǍǎǏǐǑ‰ǒ LǓ(ǔ80%7nj
Ǎl›ǕĀuǖě îǗVWX1ǘǙ'ǚ(†Ǜ““ŐǂDĀ(ǃDŽDžĺ”Øp
7¨öǽ(bĀĉi®NJǕĀNJǜ7ĎǃÙǝ’®Ǟǟ 
Ǡ
ǡ
1
Ǣ<*
r 1 ǣǤ72 8 ǥǦǧǨnjǩ(r 2 2÷ĊǪǫžÎhr(› P 4#
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Ǡ
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2
êťǮ[
~cǦǧǨnjǩŕwǯǨçnj(ŗwǯǨĀǰfĔ7DZDz(›njǍǖě
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Ǘ7ȀNJǜżµȁȂ[ȃ(.r 4(÷ǫžÎhrØƼà4#$(ǘǙ'ǚ“Á O
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_`ĎǃĊǻǼ7Ûċ‡ M ÜȂž7ċĬĭØ 2 Ǭ(Üůžđר2.5Ǭ(Q
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#1-~¯‘9åMN# = $(ŷDãä9åÚÛ$7ÖQMNܳ
#2-~hN(Á M 7 ¡Ø(2,2.5)(((0,0.5)(LġƵÇÙØÓÁÇ(PŷDĞ9t1ęÚQM³
#3-KL#2-ªÚ(Úۊ018Ø 0 u7ijk78QMNܳ
#4-KLhMNÁ N ›Á M ´µ(Ù3ƂÔĬ t Ǭ(nĊǻǼ N 7ċČǾǿª›€701Ç
Ø = 
1
2(
A) +2.5(Úۊ€ = 
1
2(
A) +2.5ȏƩ«¬(8,0.2)u(t 78QMNÜ 
R
#1-4 = 4# = 2 3(4$ : #(
# = $(
›Rt P 4$©(~ãä9åN$ =
44$ =
(2 3)
3 =
3Ǭ(
# = 2 3Ǭ(
r 2 ©ůžmƨNjȉ„Ȋ#7Öר2 3³
#2-~hN(Á M 7 ¡Ø(2,2.5)(((0,0.5)(
ÙĢċČǾǿª›€701ÇØ = (
) +2.5(  0)(
Ƶ((0,0.5)ÅÆ = (
) +2.5(  0)©N
0.5 = () +2.5(N = 
1
2(
ĢċČǾǿª›€701ÇØ = 
1
2(
) +2.5³
#3-› = 
1
2(
) +2.5©(Š = 
1
2(
) +2.5 = 0u(N
 = 2 +
5:
 =  5(
' 2 +
5,0 (
4' = (2 +
5)Ǭ(
ĊǻǼ M 7ůžmƨNjȉ„Ȋ4'Ø(2 +
5)Ǭ³
#4-ÙĊǻǼ N ›ĊǻǼ M 7´µ(O3ƂÔĬ t Ǭ(
nĊǻǼ N 7ċČǾǿª›€701ÇØ = 
1
2(
A) +2.5(
                                                                           
                                                                       
Š€ = 
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A) +2.5ȏƩ«¬(8,0.2)u(
n0.2 = 
1
2(6A) +2.5(
NA = &
115
5 :A = 6 +
115
5 #ST-(
ĊǻǼ N ĬĭĊǻǼ M ĜȍØ &
115
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#1-~Ƽà7{|MN# : 4(nKLÁ B  ¡MN4 = # = 4(nMæç°ıà#$4ضAà(N
Ü4 = 4$(L4) = L4$' = 90°(MÚÛ'

4 ,4 () 4,

4 n) = $' =

4 æç P 4)c P 4$'(QM
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#3-~#1-#2-N'(1,4)()(4,1)(MÚۄ')ÇØ = 
 + 5„4'ÇØ = 7
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4³ÙU( )(~Ħ7{|MNUW ^ 4'(5W ^ ')(U5 ^ 4)(nĦAÇØˆ´Ħ m Ĩ
                                                                           
                                                                       
œŔÖ×(nW(1 +  7)(MN„5W7ÇØ = (
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ÇØ =


4 ³P*Š#5WÕc-(#U5Õc9(Š#UWÕcd(#U5Õc9(ÏðńŅ
ƺŁÚQM 
R#1-æç
°ıà4#$2Ƽà(
# : 4(
 #(4,4)(
4 = # = 4
 °ıà#$4ضAà(
 4 = 4$(L4) = L4$' = 90°(
› =


( > 0)©(Š
 = 4u( =

4(Š =


 = 4u(
 =

4(
'

4 ,4 () 4,

4 
 ) = $' =

4 
› P 4)™ P 4$'© 
4 = 4$
L4) = L4$'
) = $'
 
(
P 4)c P 4$'(SAS)
 4' = 4) 
#2-
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4 × 7
1
2 × 4 ×

4
1
2 × 4 ×

4
1
2 × 7

4
7

4 =
15
2 (
N = 4: = 7#ST-(
¾¿À01ÇØ =
4

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#3-
~#1-#2-N'(1,4)()(4,1)(
ل')ÇØ = "
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" + G" = 4
4" + G" = 1
 
(
 " = 
G" = 5
 
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4³
ÙU( )(~Ħ7{|MNUW ^ 4'(5W ^ ')(U5 ^ 4)(nĦAÇØˆ´Ħ m ĨœŔÖ×(nW
(1 +  7)(
„5W7ÇØ = (
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)(„U5ÇØ =


4 ³
①Š#5WÕc-(#U5Õc9(
› = (
) +5©(Š
 = 4u( =  + 1(
› =


4 ©(Š
 = 4u( =
7
4 (
-(7  + 1)(9 4,
7
4
 -9 =  + 
7
4
=
*
4 = 3(
N =
12
5 (
U
12
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②Š#UWÕcd(#U5Õc9(
όMNd(7 &7)(9 4,
7
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 d9 = &7
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&*
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16
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16
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¢‰(a¼#› P UW5fĔ7Öר 3(nÁU7 ¡Ø
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24 #12 *-#24-25 ”WXY·‰ƶ·»¼F½-.r(_`€ = 
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 + N«¬Á(7 )(ƒ
ÕcÁ#(Á#c€b‚ƒ7b‚Á2Á$(OÁ$7ĩ ¡Ɛ ¡Ôğ 
                                                                           
                                                                       
(1)ÚĢ€7ĸĆdz
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 = €ÕcÁU(¼#ÕcÁ(#ŗÁ?#Ʀ‘-(56
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7ĸĆÇ 
(1) = 
 +
 + 3³
(2)
(8#(
U( 78ŗj(O
(8#(
U(
= 2(å~ȑ
(3)Ǚ€7ÇØ[ = 
 +
 + 6:[ = 
 +
 + 8 
*#1-~hÚN#( N)($(N N)(PŷDĞ9t1ęÚQM³
#2-
(8#(
U( 78ŗj(O
(8#(
U(
= 2(JÚN„#7ÇØ = 
 + 3(ÚN((  + 3)(U
(  +  + 3)(PDĸÎÛ((#(™U(7Ö(ÅÆÚQM³
#3-ٝĦĻ7ÇØ[ = 
 +
 + 3 + f(PÙ5(g g
 + 3g + 3 + f)(W( S)(~°ıà$5W
2ßà(n÷bŸ5™$WÔȓ*(O$ = W(ŷD©Á ¡ǙÏÁĪē7ĬĭÇėÇŊŋQ
MÚ 
R#1-
bc = 
 +G
 + N(
Š
 = 0u( = N(
#( N)(
Á#c€b‚ƒ7b‚Á2Á$(
0 = 2 = N(…Á$7ĩ ¡Ɛ ¡Ôğ(
0 = 
0 = N(
$(N N)(
Ä$(N N)ÅÆ = 
 +G
 + NNN = N +GN + N(
ĴåNN(NG) = 0(
                                                                           
                                                                       
N = 0:N = G(
ŠN = 0u(#(0,0)($(0,0)(ġu#™$Ʀ‘(ŗŘ‘h³
N = G(
€ = 
 +G
 + N«¬Á(7 )(
 = 4 +7G + N(Q*G = 15(
NG = N = 3(
#(0,3)($(3,3)(
Ģ€7ĸĆÇØ = 
 +
 + 3³
#2-
(8#(
U( 78ŗj(O
(8#(
U(
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.r(
„
 = ¼#ÕcÁ(#ŗÁ?#Ʀ‘-(
0 <  < 4(
ل#7ÇØ = 
 + 3(
Ä(7 )ÅÆN( = 7 + 3(
N = (
„#7ÇØ = 
 + 3(
Š
 = u( =  + 3(
((  + 3)(
Š
 = u( =  + + 3(
U(  +  + 3)(
U( = h/ =  + + ( + 3) =  +7(
(7 )(((  + 3)(#(0,3)(
( =
(7) + ( + 3)()

=
2(7)(
                                                                           
                                                                       
0 <  < 4(
7 < 0(
( =
2(7)(#( =
() + ( + 3)()

=
2 =
2(

(8#(
U(
=
2(7)8 2
7
= 2³
#3-
ٝĦĻ7ÇØ[ = 
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Ù5(g g
 + 3g + 3 + f)(W( S)(
°ıà$5W2ßà(
÷bŸ5™$WÔȓ*(O$ = W(
(7 )($(3,3)(
57©ÁØ
g4
2
,
g
3g3f
2
(
$W7©ÁØ
30
2 ,
S3
2
(

g4
2
=
3
2(
g
3g3f
2
=
S3
2 (
Ng = (
Äg = ÅÆ
g
3g3f
2
=
S3
2 (
vĴåNf = S + 3(
S = f*(
~ÏÁĪē7ĬĭÇN$ =
(7) + ()

=
17(
W =
(7) + (S) =
16 + (S + 1)(
$ = W(
$ = W(
16 + (S + 1) = 17(QS + 1 =± 1(
ŠS + 1 = 1u(S = 0(
n0 = f*(
f = 5(
[ = 
 +
 + 8³
                                                                           
                                                                       
ŠS + 1 = u(
S = (
n = f*(
f = 3(
[ = 
 +
 + 6³
¢‰(Ǚ€7ÇØ[ = 
 +
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 + 8 
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