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B*:C2*:=&0 +,4;

I(- X% 2% d*7"#5%5 3*#2D&3 ABCDEF E :593* *D D&)5 CD :* 45%:=32F* *7=*3$53;*%=* *D

42&)3&)5 CGHD 8 N$ :* 45%:=32F* *7=*3$53;*%=* *D =3$"%#2D5 DHEE 4&D42D* D& ;*)$)&)*D "%#2D5 !DHE8

B*:C2*:=&0 15o

@A[ (HETJHLEI S UEHF ZH DN PIOTCINI

I>- N$ 2% =3$"%#2D5 =$*%* $#2&D C*3H;*=35 G2* 2% 42&)3&)5E *%=5%4*: *: aXB.b. G2*0

&- *D "3*& )* D& :2C*3/$4$* )*D =3$"%#2D5 *: $#2&D G2* *D "3*& )* D& :2C*3/$4$* )*D 42&)3&)58

9- *D D&)5 )*D 42&)3&)5 *: ;": #3&%)* G2* *D D&)5 )*D =3$"%#2D58

4- *D "3*& )* D& :2C*3/$4$* )*D 42&)3&)5 *: ;&F53 G2* *D "3*& )* D& :2C*3/$4$* )*D =3$"%#2D58

)- D& )$%&D )*D 42&)3&)5 =$*%* $#2&D D5%#$=2) G2* D& &D=23& )*D =3$"%#2D58

B*:C2*:=&0 4-

I+-

B*:C*4=5 & D& :$#2$*%=* /$#23& :* 45%54* G2* !!"# ! !"5E !!"# ! !"5E !" ! !4; F !*: *D C2%=5 ;*)$5 )*D :*#;*%=5 !"8 .*=*3;$%* *D "3*& )* D& :2C*3/$4$* )*D =3$"%#2D5 !"#8

B*:C2*:=&0 A=9 3

4cm

2

!#

"

A B

G

E D

H

F

C


17/36

!"#$%& (I )* +,

IA- N$ 2% =3$"%#2D5 *G2$D"=*35 =$*%* 6 cm )* C*3H;*=35E :2 "3*& *: $#2&D &0

&- 3 9-9

43 4- 3 3 )- 9 3 *- 12

B*:C2*:=&0 &-

I@-

X% D& /$#23& &)?2%=& :* =$*%* *D 42&)3&)5 V.X1 F :* 45%54* &)*;": G2* bV T @2E VW T >2E

*%=5%4*: *D "3*& )* D& 3*#$`% :5;93*&)&0

&- KP,L 2>

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F g0

XD C*3H;*=35 )*D 3*4="%#2D5 ABCD E *% 2%$)&)*:E *: $#2&D &0

&- > 9- + 4- A )- , *- J

B*:C2*:=&0 )-

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&- >L o

9- >@ o

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B*:C2*:=&0 9-

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3*4="%#2D5: $:`:4*D*: *7=*3%5: )* ;&%*3& G2* :2 d$C5=*%2:& 45$%4$)* 45% *D &%4d5 )*D

3*4="%#2D58 .*=*3;$%* D&: ;*)$)&: )*D 3*4="%#2D5E :$ :* 45%54* G2* *D "3*& )* D& /$#23&

=5=&D *:2

363m 8

x

y


18/36

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N$ bV T ,2E VW T (@2E Qi T K2E bW T (@2

X%=5%4*: *D 454$*%=* C*3] p bVW- P C*3 ] p bQi- *: $#2&D &0

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J(- X% D& /$#23& ;5:=3&)&E ABCD *: 2% 42&)3&)5 F O *: :2 4*%=358 N$ ABE *: 2% =3$"%#2D5

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1

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16

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J>- X% *D 42&)3&)5 ABCD E EE FE G F H :5% D5: C2%=5: ;*)$5: )* :2: D&)5:E =&D 45;5 :*

$%)$4& *% D& /$#23&8

.*=*3;$%*0

&- N$ *: G2* PQRS*: 2% 42&)3&)58

9- XD 6&D53 )* D& 3&e`%ABCD

PQRS

A

A

A B

CD

O

E

A B

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P

R

24cm

8cm


19/36

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J+- N* d&% )$92?&)5 D5: 42&)3&)5: OABC F CDEF *% *D CD&%5 4&3=*:$&%5 &)?2%=50

XD "3*& )* D& :2C*3/$4$* )*D =3$"%#2D5 ACE *: $#2&D &0

&-ab

2

9- ab a+b( )

4- b a+b( )

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*- a2+b

2

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JA- W&D42D* *D 6&D53 )*D "3*& 45;M% G2* :* /53;& *%=3* D&: =3*: 3*4=&: *% *D CD&%5E )&)&: C53

D&: *42&4$5%*:0

y=1!

x y= 2

x+1

2x!5=0

B*:C2*:=&075

8u2

J@- X% D& /$#23& &)?2%=& :* =$*%* *D 42&)3&)5 BDEF F :* 45%54* &)*;": G2* AB = 5cm E

BC= 2cm E *%=5%4*: *D "3*& )* D& 3*#$`% :5;93*&)&E *% ()>E *: $#2&D &0

&-19

8

9-

9

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4-3

10

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9

B*:C2*:=&0 9-

x

yD

A

C

B

E(a, b)

FO


20/36

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J,- W5%:$)*3* *% D& /$#23& &)?2%=& *D =3$"%#2D5 ABC F D&: 3*4=&: L1

F L2

C&3&D*D&: *%=3* :HE

:*C&3&)&: > 4;8 N$ *D "3*& )* D& :2C*3/$4$* )*D =3$"%#2D5 ABC =$*%* 2% 6&D53 )* (L 4;>E

*%=5%4*: D& D5%#$=2) )*D :*#;*%=5 AB *: $#2&D &0

&- @ 4;

9-

(L 4;

4- >8@ 4;

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JI- .*D =3&C*4$5 $:`:4*D*: ABCD :* 45%54* G2* D& )$/*3*%4$& *%=3* D&: D5%#$=2)*: )* :2:

9&:*: *: $#2&D & 6 cm F G2* :2 C*3H;*=35 *: $#2&D & 38 cm8

XD "3*& )* *:=* =3&C*4$5E *% cm2

E *: $#2&D &0

&- 15 7 9- 15 3 4- 6 7 )- 6 3 *- 9 7

B*:C2*:=&0 &-

JJ- W&D42D* *D "3*& )* D& 3*#$`% :5;93*&)&E )&)5 G2* *D "3*& )*D d*7"#5%5 3*#2D&3 *: $#2&D &

>@J 4;>8

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JK-

ABCD *: 2% 42&)3&)5 )* "3*& $#2&D & +, 4;q )5%)*!"

!" T + F XE 1E rE f :5% C2%=5:

;*)$5:8 .*=*3;$%* *D "3*& )* D& 3*#$`% :5;93*&)&E :$ _nOs *: 2% 42&)3&)5 F D5: =3$"%#2D5:

:5% 45%#32*%=*:8

B*:C2*:=&024 cm

2

L1

L2

A B

C

A B

CD

12cm


21/36

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KL- O& 3*#D& )* 4533*:C5%)*%4$& )* D& /2%4$`% )* 6&3$&9D* 3*&D *: f x( ) = log x( ) 8

!&3& *D 35;95 ;5:=3&)5E 4&D42D*0

&- N2 C*3H;*=358

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B*:C2*:=&0 Per = 4 101 uE A= 20 u2

K(- N*& D& /2%4$`% f : )*/$%$)& C53 f x( ) = 3sen 2x 8

XD "3*& )* D& :2C*3/$4$* )*D =3&C*4$5 ;5:=3&)5 *% D& /$#23&E *% u2

E *: $#2&D &0

&- + 9- , 4- J )- (L *- (>

B*:C2*:=&0 9-

x

y

0

-4

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-1

0

1

2

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f

x

y

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22/36

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ABCD 8

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E *: $#2&D &0

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f x( ) =10log x

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B*:C2*:=&0 &- >A2E "# $"%

x

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23/36

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"3*& )* D& :2C*3/$4$* )*D 42&)3$D"=*35 !"#$8

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K@- X% D& /$#23& &)?2%=& :* 45%54* G2* ADLI *: 2% 42&)3&)5E BCFE F GHKJ :5%

=3&C*4$5: $:`:4*D*:8 N$ cmDI 25= F cmBC 3= E *%=5%4*: D& :2;& )* D5: C*3H;*=35:

)* D&: 3*#$5%*: :5;93*&)&:E *% ()E *: $#2&D &0

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9- 8 1+ 2( )

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x

y

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CA

B D

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I L

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24/36

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KJ- XD "3*& )* 2% 4H342D5 45% )$";*=35 , 4;E *: K#4;>8

&- a*3)&)*35 9- 1&D:5

B*:C2*:=&0 &-

KK- N$ *D C*3H;*=35 )* 2%& 4$342%/*3*%4$& *: +L#4;E :2 )$";*=35 ;$)* >L 4;8

&- a*3)&)*35 9- 1&D:5

B*:C2*:=&0 9-

(LL-X7$:=* 2%& 4$342%/*3*%4$& )* 3&)$5 ,F C*3H;*=35 &=&D G2* &;95: :*&% %M;*35: 3&4$5%&D*:8

&- a*3)&)*35 9- 1&D:5

B*:C2*:=&0 9-

(L(-W&D42D* *D "3*& )* D& C&3=* :5;93*&)&E :$ *D 3&)$5 )*D 4H342D5 ;&F53 ;$)* , 4; F *D 3&)$5 )*

D5: 4H342D5: C*G2*t5: ;$)* > 4;8

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&- 21

9- 29

4- +

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B*:C2*:=&0 9-


25/36

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*7C*3$;*%=50

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*% N$*%&E JLLl; &D :238 X:C*3` *D ;5;*%=5E & D5 D&3#5 )*D )H& *% *D G2* D& 6&3$DD& 4D&6&)&

*% bD*?&%)3H& %5 =26$*3& :5;93&8 X% *:* ;5;*%=5E &D#2$*% *%4&3#&)5 )*=*3;$%` *%

N$*%&E G2* D& ;*)$)& )*D "%#2D5 /53;&)5 *%=3* D& 6&3$DD& F *D 3&F5 )* D2e *3& )* !!8 W5%

*:=5: )&=5: F :2 &;CD$5 45%54$;$*%=5 )* D& #*5;*=3H& F *D "D#*93&E X3&=`:=*%*: 4&D42D` D&

D5%#$=2) )* D& 4$342%/*3*%4$& =*33*:=3* 45% 2% *3353 )* (o8v

.$92?* 2% #3"/$45 C&3& 3*C3*:*%=&3 *D *7C*3$;*%=5 )* X3&=`:=*%*: F *:=$;* D& D5%#$=2) )*

D& 4$342%/*3*%4$& =*33*:=3*8 n2:=$/$G2* 4D&3&;*%=* :2 3*:C2*:=&8B*:C2*:=&0 41,142.86 km

@A88 (IOTCINIG S MBEMDN\HEHNMBFG

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4;E *%=5%4*: *D "%#2D5 $%:43$=5"%$;$)*2

3

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26/36

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.*D 6


27/36

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42*3)& BC *: $#2&D & r 28 O& ;*)$)&E *% 3&)$&%*:E )*D "%#2D5 *% *D 6


28/36

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E *: $#2&D &0

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29/36

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B*:C2*:=&0 24 3! 6( ) cm2

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MD=$;& *: )* J#4;8

B*:C2*:=&02

24 cm!


30/36

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:5;93*&)&8

B*:C2*:=&011!

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1m 8

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m!

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