Actividad de Aprendizaje
September 19, 2022 | Author: Anonymous | Category: N/A
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A@XL^LHAH HK AZVKGHL_AOK L. @ad`uda da `dask ekhlaga, da `dask ekhla y da `dask eiha hk dis hatis rkblstrahis kg `aha sltua`lðg. a) Kd gÿekri hk trafaoahirks hk ug pidåbigi lghustrlad sk rkblstra kg da tafda. Gÿekri hk trafaoahirks
Gÿekri hk keprksas
n a`ue.
E.@
1: ‐ 0: 0: ‐ ;: ;: ‐ 2: 2: ‐ : 8=: ;8: 1>: 0; 128:
x
5
x
5 8 ) 2;
+
=;: 1:8
x
5
x
5
x
5 126 2;
Ekhlaga?
G
5 6
2; 6
5 02.; G
Ek 5 D + l
∖ N l∖
6
n l
1
* tl
Ek 5 12> + Ek 5 12> + Ek 5 12> +
02.;
∖1>
68 61.; 68 => 68
−¹ 8
−¹ 8
Ek 5 12> + 0.;= Ek 5 12 +
Ei 5 12> + Ei 5 12> + Ei 5 12> +
* tl
1
∖11 * 8 (6 8 ∖11)+( 68 ∖61) 68
10
+
10 0 10 1> ;6 1>
* 8
* 8
Ei 5 1;> + 0.6; Ei 5 1;=
Khah (añis) Gº hk si`lis
0:-8: =:
8:-;: ;6
;:->: 08
a) Kdafira da tafda hk nrk`ukg`las afsidutas. Khah kg añis
Gÿekri hk si`lis
n a`ue.
E.@
6:-0: 0:-8: 8:-;: ;:->:
>= =: ;6 08
>= 18= 6:: 608
6; 0; 8; ;;
XIXAD
608
f) @ad`uda da ekhla, da ekhlaga y da eiha. Ekhla? 5
x
n 1− E@ 1 + n 6− E@ 6 + … + n g− E@ g g
x
( >=−6; )+ ( =:−0; )+ (;6−8; )+ (08−;; )
5
x 5
608
12::
+ 6=:: + 608: + 1=2: 608
=21:
x
5
x
5 02.66 añis
608
Ekhlaga?
G 6
5
608 6
5 112 G 6
Ek 5 Dl +
∖ N l∖
1
* tl
n l Ek 5 0: + Ek 5 0: + Ek 5 0: +
∖>=
112
=: 8< =:
−¹ 1:
−¹ 1:
8.16; Ek 5 0>.16;
Eiha? Ei 5 Dl +
n l∖ n l∖1
* tl
( n ¹¹ ¹ ¹ l∖n l∖ )+( n l∖ n l+ )¹ 1
1
Ei 5 0: +
Ei 5 0: +
Ei 5 0: +
Ei 5 0: +
∖>= * 1: (=: ∖>= )+( =: ∖;6 ) =:
16
+
16 6= 16 8:
* 1:
* 1:
16: 8:
Ei 5 0: + 0 Ei 5 00
0. Da tafda eukstra das gitas iftkglhas pir his brupis hk kstuhlagtks kg kd prlekr kxaekg hk eatkeátl`as hkd añi ks`idar. Gita
Gº kstuhlagtks brupi A
Gº kstuhlagtks brupi F
6:-6; 6;-0: 0:-0; 0;-8: 8:-8; 8;-;: Xitad
8 1; 61 ; 0 6 ;:
: 1> 1: 66 1 1 ;:
a) ¹@uágtis kstuhlagtks tlkgk `aha brupi9
@aha brupi tlkgk ;: kstuhlagtks. f) Kg`ukgtra da Ekhla, da Ekhlaga y da Eiha hk `aha brupi.
Pk kdafira da tafda hk nrk`ukg`las para `aha brupi. BV[ZI A Gita
6:-6;
Gÿekri hk kstuhlagtks brupi A
8
n a`ue.
8
E.@
66.;
6;-0: 0:-0; 0;-8: 8:-8; 8;-;: Xitad
1; 61 ; 0 6 ;:
1< 8: 8; 8= ;:
Ekhla?
n 1− E@ 1 + n 6− E@ 6 + … + n g− E@ g
5
x
x
g
5
( 8−66.; ) +( 1;−62.; ) +( 61−06.; )+ (;−02.; ) +( 0−86.; )+ (6−82.; ) ;:
+
=6.; + 1=2.; + 162.; + >
+ 1>
>
* ;
* ;
66
0: 66
Ei 5 0: + 1.0> Ei 5 01.0> BV[ZI F Gita
Gÿekri hk kstuhlagtks brupi A
n a`ue.
E.@
6:-6; 6;-0: 0:-0; 0;-8: 8:-8; 8;-;: Xitad
: 1> 1: 66 1 1 ;:
: 1> 6> 8= 8< ;:
66.; 62.; 06.; 02.; 86.; 82.;
Ekhla? x
x
5
n 1− E@ 1 + n 6− E@ 6 + … + n g− E@ g g
5
x 5
( :−66.; )+ ( 1>−62.; )+ (1:−06.; ) + ( 66−02.; ) + ( 1−86.; )+ ( 1−82.; ) ;:
+
: 88:
+ 06; + =6; +86.; + 82.; ;:
1>=:
x
5
x
5 00.>
;:
Ekhlaga?
G 6
5
;: 6
5 6; G 6
Ek 5 Dl +
∖ N l∖
1
* tl
n l Ek 5 0: + Ek 5 0: + Ek 5 0: +
∖1>
6;
1: < 1:
−¹ ;
−¹ ;
8;
1:
Ek 5 0: + 8.; Ek 5 08.;
Eiha? Ei 5 Dl +
n l∖ n l∖1
( n ¹ ¹ ¹ l∖n l∖ )+( n l∖ n l+ )¹ 1
Ei 5 0; +
Ei 5 0; +
Ei 5 0; +
Ei 5 0; +
* ;
1
∖1: * ; (66∖ 1:)+ )+((66∖1 ) 66
16
+
16 61 16 00 >: 00
* ;
* ;
Ei 5 0; + 1.=1 Ei 5 0>.=1
8. @ad`uda da Ekhla Arlteìtl`a, da Eiha y da Ekhlaga hk `aha brupi hk hatis. a) -0, :, 6, 6, >
Ekhla? x
5
x
5
x1 + x 6 +… + x g g
∖0 + : + 6 + 6 + > ; 2
x
5 ;
x
5 1.8
Ekhlaga?
Ek 5 -0, :, 6, 6, > Ek 5 6 Eiha? Hatis
Nrk`ukg`la
-0 : 6 >
1 1 6 1
Ei 5 6
[gleihad.
f) ;, 2, .;
>
Ekhlaga?
Ek 5 6, ;, 2, 2,
Ekhlaga?
Ek 5 1:, 1:, 16, 10, 1;, 1; Ek 5
+
16 10 6
5
6; 6
5 16.;
Eiha? Hatis 1:
Nrk`ukg`la 6
16 10 1;
1 1 6
Ei 5 {1:, 1;} Fleihad.
h) 6, -6, ;, -;, 1, ; Ekhla? x
5
x
5
x
5
x1 + x 6 +… + x g g
∖6 + ; ∖; + 1 + ;
6
> > >
x
5 1 Ekhlaga?
Ek 5 -;, -6, 1, 6, ;, ; Ek 5
+
1 6 6
0
5 5 1.; 6
Eiha? Hatis
Nrk`ukg`la
-;
1
-6 1 6 ;
1 1 1 6
Ei 5 ; [gleihad.
;. Pk dk prkbugtð a ug brupi hk 6: oðvkgks kd gÿekri hk miras quk hkhl`ag skeagadekgtk ad kstuhli y sk iftuvlkrig dis slbulkgtks rksudtahis.
= 0
1: >
8 =
: 0
16 1:
6: 1;
1> =
= 6
16 1:
18 12
a) Maz kd `igtki y `igstruyk da tafda hk nrk`ukg`las afsidutas hk dis hatis. Gº hk miras
Nrk`ukg`la afsiduta
n a`ue.
: 6 0 8 > = 1: 16 18 1; 1> 12 6: Xitad
1 1 6 1 1 8 0 6 1 1 1 1 1 6:
1 6 8 ; > 1: 10 1; 1> 12 1= 1< 6:
f) @ad`uda da Ekhla hk da hlstrlfu`lðg. x
5
x
x1−n 1 + x 6−n 6 + … x g− n g g
5
( :−1 ) + ( 6−1 ) + ( 0−6 )+ ( 8−1 ) + ( >−1 )+ ( =−8 )+ ( 1:−0 ) + ( 16−6 )+ (18−1 )+ (1;−1 ) + ( 1 >−1 ) + ( 12−1 ) +( 6:−1 ) 6:
x 5
+ + + 8 + > + 06 + 0: + 68 + 18 + 1; + 1> + 12 + 6:
: 6 >
6: 1=>
x
5
x
5 , =, =, =, =, 1:, 1:, 1:, 16, 16, 18, 1;, 1>, 12, 6: Ek 5
+
= 1: 6
5
1= 6
5 <
Eiha?
Ei 5 = >. Kg ug ksta`ligaelkgti may slktk autis fdag`is, `lg`i riois, trks brlsks y i`mi gkbris.
a) ¹@uád ks da Eiha hk dis `idirks hk dis autis9 @idirks
Nrk`ukg`la
Fdag`i Vioi Brls Gkbri
2 ; 0 =
Da eiha hk dis `idirks ks kd gkbri. f) ¹Pk pukhk `ad`udar da Ekhla Arlteìtl`a9
Gi sk pukhk `ad`udar da ekhla pirquk kd `ará`tkr gi ks `uagtltatlvi.
2. Lghl`a sl `aha anlrea`lðg ks vkrhahkra i nadsa. a) (^ (^) Da eiha hk ug kstuhli kstahåstl`i slkeprk pkrtkgk`k ad `igougti hk hatis.
Da Eiha slkeprk pkrtkgk`k a dis hatis hk da hlstrlfu`lðg pirquk ks kd hati `ig eayir nrk`ukg`la. f) (N (N) Kg glgbÿg `asi, da Ekhla pkrtkgk`k ad `igougti hk hatis kstahåstl`is.
May `asis highk så sk ha, `iei kg da hlstrlfu`lðg 6, 6 `) (^ (^) Kg adbugis `asis, da Ekhlaga pukhk tkgkr vadir lbuad a da Ekhla y a da Eiha.
@iei pir kokepdi, kg da hlstrlfu`lðg 6, 0, 0, 8 Ekhla? 0 Ekhlaga? 0 Eiha? 0 h) (^ (^) Kg uga tafda hk hatis abrupahis, kd ÿdtlei hati hk da nrk`ukg`la afsiduta kqulvadk ad vadir titad hk dis hatis.
=. Das gitas hk ug kxaekg hk lgbdìs hk ug brupi hk 68 kstuhlagtks nukrig das slbulkgtks? 2
>
8
;
0
<
:
0
=
=
;
<
:
>
1:
>
6
8
; 2 > 0 ; 2 a) @ad`uda da gita ekhla hkd brupi.
x
x
5
Gitas
Nrk`ukg`la afsiduta
: 6 0 8 ; > 2 = < 1: Xitad
6 1 0 6 8 8 0 6 6 1 68
x1−n 1 + x 6−n 6 + … x g− n g g
5
( :−6 )+ (6−1 ) + ( 0−0 )+ ( 8−6 ) + ( ;−8 ) + ( >−8 )+ ( 2−0 )+ ( =−6 )+ ( + 1= + 1:
: 6 <
x 5
68 16=
x
5
x
5 ;.00
68
f) Hktkrelga da gita ekhla hkd brupi slg `igtar dis his aduegis quk mag sa`ahi `kri. x
x
5
x1−n 1 + x 6−n 6 + … x g− n g g
5
x 5
( 6−1 ) + ( 0−0 ) + ( 8−6 ) + ( ;−8 ) + ( >−8 ) + ( 2−0 ) + ( =−6 )+ ( + 1= + 1:
6 < = 6:
68 16=
x
5
x
5 ;.=1
66
`) @ad`uda da gita ekhla hk dis kstuhlagtks quk aprifarig kd kxaekg. Zara aprifar, sk rkqulkrk eåglea uga gita hk >.: x
x
5
x1−n 1 + x 6−n 6 + … x g− n g g
( >−8 )+ (2−0 )+ ( =−6 ) + ( 1=
x
5
x
5
x
5 2.8
+ 1:
16 =< 16
; 6= ;
f) ¹Pk pukhk `ad`udar da Eiha y da Ekhlaga hkd `igougti hk hatis9 ¹Zir quì9
Gi sk pukhkg `ad`udar pirquk gi sk `igi`kg dis hatis hk da hlstrlfu`lðg.
L:. Ifskrva da bránl`a.
Madda da Ekhla, da Ekhlaga y da Eiha hk da hlstrlfu`lðg. Hatis
Nrk`ukg`la afsiduta
0 8 ; > 2 = < Xitad
6::: 6::: 8::: ;::: 6::: 6::: 6::: 1< :::
Ekhla? x
x
x
5
x1−n 1 + x 6−n 6 + … x g− n g g
5
( 0−6::: )+ ( 8−6::: ) +( ;−8::: ) +( >−;::: ) +( 2−6::: ) +( =−6::: ) + ( :::
5
1< ::: :::
+ =::: + 6: ::: ::: + 0:::: + 18 :: ::: : + 1> ::: ::: + 1=::: 1, >, >, >, 2, 2, =, =, Eiha?
Ei 5 > LL. Ifskrva da nlbura.
a) ¹@uád ks da nrk`ukg`la rkdatlva hkd hati F9 6;
@iei kd hati F ks kd 6; %, kgtig`ks ks
1:: 5
:.6;
f) ¹@uád ks da Eiha hk da hlstrlfu`lðg9
Da Eiha ks A pirquk rkprkskgta kd ;: % hk da hlstrlfu`lðg.
L6. Hktkrelga da Ekhla, da Ekhlaga y da Eiha hk da hlstrlfu`lðg rkprkskgtaha kg da nlbura.
2:::
>:::
;:::
8:::
0:::
6:::
1:::
: 1
6
0
8
;
>
Hatis
Nrk`ukg`la a af fsiduta
1 6 0 8 ; > 2 = Xitad
8::: >::: 0::: 8::: >::: 6::: 1::: 6::: 6= :::
2
=
Ekhla? x
x
5
x1−n 1 + x 6−n 6 + … x g− n g g
5
x 5
( 1−8::: )+ ( 6−>::: ) + ( 0−0::: ) + ( 8−8::: ) + ( ;−>::: ) + ( >−6::: ) + ( 2−1::: ) +(=−6::: ) 6= ::: :::
8:::
+ 16::: + ::: + 0: ::: ::: + 16::: + 2:::+ 1>::: 6= :::
1:> :::
x
5
x
5 0.2=
6= ::: :::
Ekhlaga? Pk pukhk ma`kr a ks`ada pir di quk das nrk`ukg`las sig tag braghks.
Ek 5 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 0, 0, 0, 8, 8, 8, 8, ;, ;, ;, ;, ;, ;, >, >, 2, =, = Ek 5
8
+8 6
=
5 5 8 6
Eiha?
Ei 5 {6, ;} Fleihad. L0. Dis sadarlis ekgsuadks hk dis `uatri kepdkahis hk uga pkqukña keprksa sig 2:: :::, =:: :::,
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