Solucion I

March 25, 2023 | Author: Anonymous | Category: N/A
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PBLLFZ PM^MOZBAIB  GMEJZF4 @BQI@ AFZGBG@M CI^BEMCHB HVFZPBS CM@IOM4 :>26:>8>3

2- Sfbg lms pugtms 22(:2>.:1 (:2>.:1 e e,, 299.9 299.988 e) y :(:>2 :(:>2.3: .3: e, :2 :29.23 9.23 e) cu cubl bl sfrâ lb `istbgcib fgtrf fstms fg @e, si sf sbjf quf4 @ 5 ∔(ΐX): + (ΐY):

2

FDF X FG e :2>.:1

FDF Y FG e 299.98

:

299.98

:29.23

 

∔(299.98-:2>.:1): + (:29.23-299.98): 5:2.23e --------------sf -sf pbsb b @e 5:22.3@e :-  @b`bs lbs cmmr`fgb`bs `fl ^2 ( :>8.3:, 2?6.0:) fl bzieut ϰ2-:, `f lb bli bligfbcióg gfbcióg 2-: y lb `istbgcib @2-:, Cblculbr lbs cmmr`fgb`bs `fl ^:   G  

ϰ 5 2:0¾ 26’ 

 

^2

 

 

@ 5 238.03 e

^:

 F

BTIEVP4 2:0¾26° ZVEJM4 2:0¾26° - 9>¾ 5 66¾06°   5 S 66¾06° F ^:4 Y:5 Sfg 66¾06° . 238.03 e  

x:5 cms 66¾06° . 238.03 e

5 220.0: e

 

5 ??.9>e

^:(??.9>e ; 220.0:e)

@ISPBGCIB4

@ 5 ∔(??.9>-:>8.3:): + (220.0:-2?6.0:):   5203.98e

 

3-  @b`bs lbs cmmr`fgb`bs `f ^2 y ^: (cmem sf eufstrb fg lb tbjlb b`dugtb), Cblculbr  lb `istbgcib @2-:, Zuejm β2-: y Bcieut ϰ2-: `f lb bligfbcióg 2-:  

G

F

2

29:.:02

23?.29

:

2>6.616

6>.3:?

 

G ^ 2  @2-: 

 

ϰ2-: 

β2-:

^: F

@ISPBGCIB4

@ 5 ∔(2>6.616-29:.:02 ): + (6>.3:?-23?.29):   52::.?2  y : √ y 2

BTIEVP4 Po √25  x : √ x 2  

Po √ 25

23?.29√29:.:02 6>.3:?√2>6.616

 

506¾3° ZVEJM4 S 00¾6?° F

Si sf fstâ b ugb `istbgcib `f 22> e `f ug pigm, sf mjsfrvb su cmpb b 3>¾. Mtrm mjsfrvb`mr fg lågfb vf fl eisem pugtm fstbg`m b 1>¾`fl ârjml4 b) B quf `istbgcib `fl pigm sf fgcufgtrb fl sfoug`m mjsfrvb`mr 

0-

j) Ruf blturb tifgf fl ârjml  

h

1>¾ x 22> e

3>¾

 

h

 

2>>e  

1>

Po 5

c .m   c.b

tbg 1> ¾ ) h 522> e∟( tbg

2>>e

 

h 529>.6: e  

h529>.6:

 

3>

Sfg5

  c .m   hipmtfgusb

hipmtfgusb 5

29>,6: e

sfg 3>

 

hipmtfgusb 5 382.>0 e    c .b cms 5 hipmtfgusb   c . b5382.>0 ( cms3> ¾ )   c . b53:9.99 e 

b) B quf `istbgcib `fl pigm sf fgcufgtrb fl sfoug`m mjsfrvb`mr ZPB43:9.99 e  j) Ruf blturb tifgf fl ârjml ZPB429>.6: e  Cmgvfrtir lms ruejms `b`ms, fg bzieutfs y `ftfreigbr fl âgoulm igtfrgm fgtrf cb`b `ms ruejms cmgsfcutivms.

6-

Zuejms4  

G-?3¾ 2>’-F  S -60¾ 0>’-F S -2?¾ 3>’ –_ G – 86¾ 6>’ – _

PBJLB BTIEVP

PBJLB BGOVLMS IGPFZGMS @F @MS ZVEJMS BTIEVP

G-?3¾ 2>’-F  S -60¾ 0>’-F S -2?¾ 3>’ –_  G – 86¾ 6>’ - _

2>1¾6>° 2:6¾:>° 21:¾3>° 90¾2>°

Sf hbllb tfgifg`m fg cufgtb quf fl bzieut cmeifgzb `fs`f fl gmrtf y hbcib lbs ebgfc

Bgo IGPFZGM

G-?3¾ 2>’-F  S -60¾ 0>’-F S -2?¾ 3>’ –_  G – 86¾ 6>’ - _

28¾3>° 18¾:>°

 

illbs `fl rflmd.

Fg ug `fslig`f, sf ei`ifrmg lms bzieutfs `f lms lb`ms quf sf rflbcimgbg; cblculbr lms ruejms cmrrfspmg`ifgtfs y lms âgoulms igtfrgms fg cb`b vérticf. 1-

F@

0>¾

@ CC J JB  BF

2::>8:¾ :?3¾ 3::¾

PBJLB ZVEJMS

PBJLB BGOVLM IGPFZGM QFZPICFS

QFZPICF

BTIEVP ϰ

ZVEJM

QFZPICF

F-@ @-C C-J J-B  B-F

0>¾

G 0>¾ F

2:8¾ :>:¾ :?3¾ 3::¾

S 6:¾ F

F-@ @-C C-J J-B B-F

S ::¾ _ G 8?¾ _

G 38¾ _

Bgo. Igtfrgm 0>¾ 2:8¾ :>:¾ :?3¾

3::¾

Fl mjcfrvbg`m fl cu`rbgtf fg ruejm fl quf sf sf `ftfrgeigb mjcfrvb fl bgoulm, y tfgifg`m fg cufgtb gmrtf y sur(G-S) ?- Cblculbr fl ruejm y fl bzieut `f cb`b lb`m, fg ug trbjbdm mrifgtb`m bl _, si sf tmebrmg lms âgoulms b `frfchb quf sf rflbcimgbg4 Lb`m Qérticf Bgoulm   BJ J 20>¾ >>’   JC JC C 2>9¾ 26’   C@ C@ @ 260¾ 06’   @F @F F 6>¾ 3>’ FB B 86¾ 3>’   Σ 60>¾ >>’ LB@M QFZPICF BTIEVP ϰ ZVEJM B-J 20>¾ J S 0> F J-C C ?>¾06° S ?>¾06° F C-@ @ :6¾26° S :6¾26° F @-F F 39¾3>° G 6>¾3>° F F-B  B 280¾3> 280¾3>°° G 86¾3> 86¾3>°° F

 

20>

2>9.:6

86.6 6>.6

260.?6

 Lms ruejms mjsfrvb`ms `f ugms bligfbeifgtms fg ug trbjbdm, smg lms quf sf sfòblbg b cmgtigubcióg; `ftfreigbr lms BTIEVP. Lågfb Zuejm `irfctm JC  BJ G – :6¾ - F JC S – 00¾ - F C@ S – 06¾ - _ 8-

PBJLB BTIEVP LB@M ZVEJM B-J G :6¾ F S 00¾ F S 06¾ F

J-C C-@

BJ BTIEVP ϰ :6¾>>°

230¾ ::6¾

 JC5 9>¾+ 00¾  

C@

5 230¾

C@5 28>¾ + 06¾   5 ::6¾   9- @b`bs lbs cmmr`f cmmr`fgb` gb`bs bs `f ^2, ^:  y ^3, rfprfsfgtb`b fg lb aiourb b`dugtb, sf pi`f, cblculbr cmmr`fgb`bs cmmr`fgb`bs `fl ^tm igtfrcfptm J `f lb rfctb pfrpfg`i pfrpfg`iculbr culbr b ^ 2^: y quf pbsb pmr  ^3  ^:   G ^2 ^: ^3

G 221>.>> 2186.>> 232>.>>

F 19>.>> 936.>>   2:6>.>>

J

^2

^3  

F

 

 ^X   0 05

 ^X   0 05

 X 2 + X : :

 

221> + 2186 :

5 20::.6

 ^Y   0 5

 ^Y  0  0 5

 

^0(20::.6 ; 82:.6)

Y   2 2 + Y  3  3 :

 

19> + 936 :

 

582:.6

Vgivfrsi`b` ^f`bomoicb Y Pfcgmlmoicb @f Cmlmejib

Pbllfr Pmpmorbaib

Flbjmrb`m pmr4 @bvi` Afrgbg`m Cipbemchb Hufrtbs CM@4 :>26:>8>3

@mcfgtf4

 

Igo. Luis Bljfrtm Lfbl Almrfz

Pugdb

:>28

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