Solucionario 2

July 7, 2022 | Author: Anonymous | Category: N/A

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XLAYH^RA@D@ LDBAGLDM XLAYH^RA@D@ LDBAGLDM @H ALOHLAH^ D IDBXMPD@ @H ALOHLAH^ÅD BAYAM

@HZD^PDEHLPG DBD@ÁEABG @H YADMA@D@ Q OHGEÄPABD

HVDEHL ZD^BADM @H PGZGO^DIÅD PGZGO^DIÅD AA (PY 440 F) - RGMXBAGLDÂG 4.

d) Ra md `hbmaldbaò `hbmaldbaòl l hl md XLA hm 44 `h hlhrg `hm >::: hrd `h :.?1ºH y `hbrhbh :.4>º_ pgr dôg, gnthlhr md `hbmaldbaòl pdrd hm `åd `h fgy.

Bdmbumdegs t;

// // 5 + :5.?1// º + (:.4+>º) >º∉) …(4) 5(44/4:/>:41)(44/:4/>:::)  5 41.? 41.?88 ôô

^hhepmdzdegs hl (4);

// 5 + :.?1º ?1º + 41.? 41.?88(:.4>º) >º) // 5 4.86º // 5 4º2 4º20‾0‾06" 06" 

n) @hiald quh hs md `hbmaldbaòl edolátabd y bge bgeg g sh puh`h gnthlhr. (4 pultg). Md `hbmaldbaòl edolátabd hs hm äloumg fgrazgltdm quh igredl mds ehraàdlds ohgoräiabd y edolátabd hl ul pultg. Xld igred `h gnthlhrmd hs alorhsdl`g d md päoald whn `hm LGDD, pdrd gnthlhrmd sh `hnh thlhr md ihbfd `hm `åd hl quh fazg md ehàbaòl y mds bggr`hld`ds ohgoräiabds `h md zgld.

XLAYH^RA@D@ LDBAGLDM XLAYH^RA@D@ LDBAGLDM @H ALOHLAH^ D IDBXMPD@ @H ALOHLAH^ÅD BAYAM

@HZD^PDEHLPG DBD@ÁEABG @H YADMA@D@ Q OHGEÄPABD

>. Rh fdl ehà`g äloumgs y àstdlbads `h uld pgmaogldm bhrrd`d hl hm bdepus `h md XLA, pdrd hmmg sh fd usd`g uld hstdbaòl tgtdm `hm Mdngrdtgrag `h Pgpgordiåd `h mmdd IAB-XLA. Hm dzaeut ehà`g bgl md nrûkumd hs [DN 5 4>8º:2‑>>―, mds bggr`hld`ds `hm pultg D sgl 69?:29> L y >?919> H. Mgs `dtgs `h äloumgs y àstdlbads sh euhstrdl euhstrdl d bgltaludbaòl;

Hstdbaòl

Zultg Gnshrvd`g

Äloumg Zrgehàg

Mgloatu` (e)

D

N

482º>8‑2:―

408.88

N

B

4>?º02‑4?―

>:>.2?

B

@

6:º>:‑86―

>>>.91

@

H

1>º:1‑2>―

>?:.::

H

D

69º>:‑22―

?:.80

@hthrealdr;

d) Hrrgr `h bah bahrrh rrh dloumdr, hrrgr eäxae eäxaeg g phreata`g y bgephlsdbaòl dlo dloumdr umdr (4 pultg). Ruedegs mgs äloumgs ehà`gs pdrd fdmmdr hm hrrgr `h bahrrh dloumdr; Hstdbaòl

Äloumg Zrgehàg

D

482º>8‑2:―

N

4>?º02‑4?―

B

6:º>:‑86―

@

1>º:1‑2>―

H

69º>:‑22―

ơ

821º81‑8:―

Hltglbhs hm hrrgr `h bahrrh dloumdr hs - 4:―. Dfgrd fdmmdegs hm hrrgr eäxaeg phreata`g, bgeg lgs alàbdl quh md ehàbaòl sh rhdmazò bgl uld hstdbaòl tgtdm `h md XLA, hltglbhs md prhbasaòl `h hstgs hquapgs hs `h 8―.

  5 ´8"∛8   5 ´44.6"

Yhraiabdegs y Hb 5 - 4:― = - 44.6―, hltglbhs GC.

∞" Hltglbhs mgs äloumgs `h md pgmaogldmsgl; 5  5 >"

Dfgrd rhdmazdegs rhdmazdegs md bgephl bgephlsdbaòl; sdbaòl;

XLAYH^RA@D@ LDBAGLDM XLAYH^RA@D@ LDBAGLDM @H ALOHLAH^ D IDBXMPD@ @H ALOHLAH^ÅD BAYAM

@HZD^PDEHLPG DBD@ÁEABG @H YADMA@D@ Q OHGEÄPABD

Hstdbaòl

Äloumg Zrgehàg

D

482º>8‑2>―

N

4>?º02‑41―

B

6:º>4‑::―

@ H

1>º:1‑20― 69º>:‑28―

ơ

80:º::‑::―

n) Bämbumgs `h dzaeuts `h md`gs `h md pgmaogldm (4 pultg). Hm dzaeut `d`g hs ul dzaeut edolátabg, phrg lhbhsatdegs dzaeut ohgoräiabg pgr mg budm bgrrhoaegs bgl md `hbmaldbaòl edolátabd hltglbhs hm [ DN ohgoräiabg shråd; [ DN 5 4>8º:2‑>>― - 4º20'06" [ DN 5 4>2º>6‑20― Dfgrd sa bdmbumdegs bdmbumdegs hm dzaeut `h mg mgss md`gs `h md pgmaogldm;

 5  +̎ ´46:º  54>2º>620"+4>?º02‾41"46:º  5?4º44‾82"  5  +  ´46:º  5?4º4482"+6:º>4‾::"+46:º  5224º2>‾82"   5  +  ´46:º  5224º2>82"+1>º:1‾20"46:º  5>02º0>‾>?"  5  +̎ ´46:º  5>02º0>>?"+69º>:‾28"46:º  548:º:2‾:>"

◇

◇

◇

◇

Bgeprgndl`g;

 5  +  ´46:º ":>+482º>8‾2>"46:º  548:º:2  54>2º>6‾20" … ‽

XLAYH^RA@D@ LDBAGLDM XLAYH^RA@D@ LDBAGLDM @H ALOHLAH^ D IDBXMPD@ @H ALOHLAH^ÅD BAYAM

@HZD^PDEHLPG DBD@ÁEABG @H YADMA@D@ Q OHGEÄPABD

b) Bämbumg `h mds bggr`h bggr`hld`ds ld`ds pd pdrbadmhs rbadmhs (4 pultg). Md`g

[

` (e)

ΐx 5 `shl[

ΐy 5 `bgs[

DN

4>2º>6‑20―

408.88

4>4.0:9

-6:.>60

NB

?4º44‑82―

>:>.2?

414.8?4

98.>>2

B@

224º2>‑82―

>>>.91

-4:9.:10

418.?12

@H

>02º0>‑>?―

>?:.::

->0>.:9?

-441.816

HD

48:º:2‑:>―

?:.80

28.>49

-94.4>4

Z 5 144.48

θV5:.:2>

θQ5:.:42

ơ

`) Bämbumg `hm hrrgr `h bahrrh malhd malhdm,m, hrrgr rrhmdtavg hmdtavg (4 pultg).

 5  (() + () 5  (:.(:.:2>) +(:.:42)  5 :.:202088 

Hrrgr rhmdtavg;

 5 ( 4 ) 5 144. :.:420848  5 >92?1.4 91

h) Bgephlsdbaòl `h hrrgrhs malhdmhs (4 pultg).

:2>   5    5 :. 144.48 :42   5    5 :. 144.48

Bgephlsdl`g bggr`hld`ds pdrbadmhs;

XLAYH^RA@D@ LDBAGLDM XLAYH^RA@D@ LDBAGLDM @H ALOHLAH^ D IDBXMPD@ @H ALOHLAH^ÅD BAYAM

@HZD^PDEHLPG DBD@ÁEABG @H YADMA@D@ Q OHGEÄPABD

Bggr`hld`ds Zdrbadmhs

Md`g DN NB B@ @H HD ơ

Bgephlsdbaòl

ΐx

ΐy

Bx

By

4>4.0:9 414.8?4 -4:9.:10 ->0>.:9?

-6:.>60 98.>>2 418.?12 -441.816

28.>49 :.:2>

-94.4>4 :.:42

-:.::8 -:.::? -:.::6 -:.:4: -:.::> -:.:2>

-:.::> -:.::2 -:.::2 -:.::0 -:.::4 -:.:42

Bggr`hld`ds pdrbadmhs bgephlsd`ds ΐx ΐy 4>4.0:4 414.890 -4:9.4:> ->0>.:?? 28.>40 :.:::

-6:.>69 98.>> 418.?1 -441.9:> -94.4>> :.:::

i) Bämbumg `h bggr`hld`ds dnsgmutds y ärhd (> pultgs). Hstdbaòl D

Md`g

ΐx

ΐy

DN

4>4.0:4

-6:.>69

H (e) >?919>

N

NB

414.890

98.>>

>??:62.0:4

B

B@

-4:9.4:>

418.?1

>??>?0.198

@

@H

->0>.:??

-441.9:>

>??496.692

H

HD

28.>40

-94.4>>

>?91>9.?69

Fdmmdl`g hm ärhd pgr hm eátg`g `h edtrabhs; D 5 8:114.>2 e>

L (e) 69?:29> 69?:>64.? 4 69?:209.1 2 69?:80>.? > 69?:0>2.4 >

XLAYH^RA@D@ LDBAGLDM XLAYH^RA@D@ LDBAGLDM @H ALOHLAH^ D IDBXMPD@ @H ALOHLAH^ÅD BAYAM

@HZD^PDEHLPG DBD@ÁEABG @H YADMA@D@ Q OHGEÄPABD

2. Rh quahrh rhpmdlthdr uld dmalhdbaòl dmalhdbaòl pdrdmhmd d ul eurg DN d pdrtar `h ul pultg Z. Rgmg sh àspglh `h ul thg`gmatg y lg fdy igred `h ehàr àstdlbads. Zdrd hmmgs sh satûd ul pultg E, tdm quh md àrhbbaòl `h ZE hs dprgxaed`dehlth pdrdmhmd pdrdmhmd dm eurg y sh hstdbagld hl dengs pultgs tgeäl`gsh mds saouahlths mhbturds dzaeutdmhs. Hstdbaòl

Zultg vasd`g

Mhbturd dzaeutdm

Z

E

:.::>0º

D

24:.0908º

N

22:.>::4º

Z

281.1188º

D

02.2:?1º

N

?1.022:º

E

@hthrealdr hm äloumg quh igred md dmalhdbaòl ZE bgl md àrhbbaòl nusbd`d. (0 pultgs). Rgmubaòl; Dsueaegs quh ZE ea`h 4, sh thl` thl`rä; rä;

XLAYH^RA@D@ LDBAGLDM XLAYH^RA@D@ LDBAGLDM @H ALOHLAH^ D IDBXMPD@ @H ALOHLAH^ÅD BAYAM

@HZD^PDEHLPG DBD@ÁEABG @H YADMA@D@ Q OHGEÄPABD

@h md iaourd; δ4 5 29:º+:.::>0º ‒ 24:.0908º 5 01.82?1º δ> 5 29:º+02.2:?1º ‒ 281.1188º 5 02.24>0º ξ4 5 29:º+:.::>0º- 22:.>::4º 5 >1.6:>2º ξ> 5 29:º+?1.022:º- 281.1188º 5 ?1.02?8º

Hl md iaourd shehkdlth;

 5  5 4   ( + )

02.24>0º 5:.9696  5 (01.82?1+02. 24>0)  01.82?1º  5 (01.82?1+02.24>0) 5:.?946  5  5 4   ( + ) ?1.02?8º 54.:04>  5 (>1.6:>2+?1. 02?8) >1.6:>2º 5:.8>90  5 (>1.6:>2+?1. 02?8)

@h aoudm edlhrd;

Dfgrd fdmmdegs fdmmdegs DN;

 5   +  >(  )

XLAYH^RA@D@ LDBAGLDM XLAYH^RA@D@ LDBAGLDM @H ALOHLAH^ D IDBXMPD@ @H ALOHLAH^ÅD BAYAM

@HZD^PDEHLPG DBD@ÁEABG @H YADMA@D@ Q OHGEÄPABD

 5  5  (  )    5S  (  )U58:.4?:?º

 5 :.08?6

Hl äloumg ZD hs 8:.4?:?º Bgeg ZE igred ul äloumg bgl ZD `h δ4 5 01.82?1º, md àihrhlbad hltrh dengs hs hm äloumg

quh lgs pa`hl;

58:.4?:?º01.82?1º5:.92>6º  5 :º 2?86"

0. Bgephlsdr mgs 2 äloumgs ehà`gs pgr hm eátg`g `h eålaegs bud`rd`gs bud`rd`gs (8 pultgs). = 4 5 0>º >:‑ 44―3 Z4 5 9

4

= > 5 62º 49‑ 40―3 Z> 5 0.8 = 2 5 80º >2‑ 8:―3 Z2 5 >

2

>

Rgmubaòl;

̎4 +̎> +̎2 546:º::‾48" Muhog;  5  +  +  48" 5 : … ò  ò Bglàbaòl `hm eátg`g `h eålaegs bud`rd`gs ; 59 +0.8 + > 5å

◇

◇

◇

Hbudbaòl `h Mdordloh; X 5 I - >γ4i 4

◇

@d`g quh i 4 5 : 5< X 5 I Zdrd quh I shd eålaeg;

◇

XLAYH^RA@D@ LDBAGLDM XLAYH^RA@D@ LDBAGLDM @H ALOHLAH^ D IDBXMPD@ @H ALOHLAH^ÅD BAYAM

@HZD^PDEHLPG DBD@ÁEABG @H YADMA@D@ Q OHGEÄPABD

 5  5  5 :   

Hbudbaglhs bgrrhmdtavds; -

↞ 4>  >(4) 5: ↞  5   5: ↞ 1  >(4) 5: ↞  5 .  5: ↞ 0  > (4) 5: ↞  5 

 5:  





 

Rustatuyh Rustatuyhl`g l`g mds hbudbaglhs bgrrhmdtavds hl md hbudbaòl `h bglàbaòl.

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 5 9 + 0.8 + > 48"5:  549.6?8"

^hhepmdz ^hhepmdzdl`g dl`g hl mds hbudbaglhs bgrrhmdtavds;

◇

 5>.64>8"  52.?8"  56.02?8"

◇

Äloumgs bgrrhoa`gs;

̎4 50>º>:44"  >.644>8" >8" 5 0>º> 0>º>:‾6 :‾6..46?8" 6?8" ̎> 5 62º 62º 49‑ 40― 40―  2.??8"8" 5 62º49 62º494:.>8" ̎2 5 80º >2‑ 8:―  6.002?8" 2?8" 5 80º 80º>2>204.89>8" 546:º::‾::"

Solucionario 2

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