I Parcial

 

L Wir`lio (Plstani ja Cuarzis)

(Siofr 21%)

Mfnbras y Ipaooljfs; Rubìm Jivlj Nfrioas Harmémjaz @ajuoi ja Ljamtljij; S-217M



 mfs quaji oi a`ui`lðm isî y sustltulnfs viofras

                    

 

Rasfovanfs y mfs quaji qua  >

927,944,4M

            

\i fbtamlji oi nidmltuj jao va`tfr R sfof mfs ciotirîi oi jlra``lðm jlra` `lðm ja R y piri aoof a oof usiranfs oi Oay jao Pamf

Jaspakimjf β, sustltuyamjf viofras y rasfovlamjf mfs quaji qua

 

 

     

 

β>22,910·

\ asta Imduof sa oa suniri io Imduof ja 30,9· y mfs ji qua ao Imduof ja oi rasuotimta as 81,0· Oi sfou`lðm io prfboani pfr nìtfjf dricl`f as Nidmltuj ja R>944,331 Jlra``lðm ja R, θ> 81,0· 

Raiolzimjf ao akar`l`lf pfr ao lm`lsf b Wfr `fnpfmamtas ra`timduoiras Ihfri jabanfs si`ir ois `fnpfmamtas ja `iji umi ja oi cuarzis piri hiooir oi nidmltuj y

 

jlra``lðm ja oi rasuotimta R, parf prlnarf raiolziranfs ois `fnpfmamtas jao prlnar `uijrimta y jaspuìs `fm ois `fnpfmamtas ja R.

 y

 am`fmtriranfs oi nidmltuj y jlra``lðm ja oi rasuotimta

Qtlolziranfs ao Imduof ja 41·, ao `uio as a s ao Imduof qua cfrni @fnpfmamtas ja



 



 `fm oi hfrlzfmtio

 

⃔  ⃔  ⃔    ⃔  ⃔  ⃔       ⃔ ⃔ ⃔ ⃔      ⃔       ⃔   

 

 

 

@fnpfmamtas ja

 

 

 

Rasuotimta ja astis jfs cuarzis ( 

  ))

 

Punimjf `fnpfmamta i `fnpfmamta mfs quaji

 

Pu nidmltuj as

 

\ ao Imduof rasuotimta ja astis jfs cuarzis `fm ao aka x as  

    Olstf yi tamanfs oi nidmltuj y émduof ja clmiolziranfs ao akar`l`lf @fnpfmamtas ja





 (Oi `fnpfmamta am X ja

, ihfri bus`iranfs ois `fnpfmamtas ja





,y

 as maditlvi pfrqua asti am a m ao sadumjf `uijrimta)

⃔  ⃔   

 

 

⃔   ⃔  ⃔⃔ ⃔⃔       ⃔       

@fnpfmamtas ja

 

 

 

Rasuotimta R

 

Punimjf `fnpfmamta i `fnpfmamta mfs quaji

 

Pu nidmltuj as





 

⃔         

\ su jlra``lðm as

 

 

Wfr of timtf oi nidmltuj jao va`tfr rasuotimta as 944,34M y su jlra``lðm as 81,20.

Wrfboani Ao `iboa IB jaM·2 oi clduri asté umljf i oi pirta suparlfr jao pfsta vartl`io ja 0 n ja ioturi y su tamslðm as ja 17 eM. ¶@uéoas sfm ois tamslfmas am ofs `iboas IF, I@ y IJ6 (Siofr; 4 pumtfs)

 

 

Pfou`lðm;

Wiri anpazir i raiolzir asta akar`l`lf of prlnarf qua hiranfs as ao jlidrini ja `uarpf olbra, tfniranfs ois `ffrjamijis ja `iji pumtf, jaspuìs `fmstrulranfs ofs va`tfras ja `iji tamslðm, sa mfs cfrnirim um slstani ja a`ui`lfmas a` ui`lfmas ao `uio rasfovaranfs piri am`fmtrir oi tamslðm ja IF, I@ y IJ

Jlidrini ja `uarpf olbra

@ffrjamijis ja ofs pumtfs I; (3,2,7)n B; (92,0,7)n @; (7,8,1)n

 

J; (7,:,-1)n F; (7,7,7)n (frldam jao slstani ja `ffrjamijis)

@fmstru``lðm @fmstru``lð m ja va`tfras Wiri Z  IB  IB  

⃔     ⃔ 

 

Zfjf va`tfr sa puaja as`rlblr `fnf oi nidmltuj ja asa va`tfr nuotlpol`ijf pfr ao va`tf va`tfrr umltirlf

qua ipumti i oi jlra``lðm (am asta `isf ja I histi B), ja asti cfrni `fmstrulranfs tfjfs ofs va`tfras. Wiri am`fmtrir ao va`tfr umltirlf of qua hiranfs saré as rastir pumti jao va`tfr namfs `foi jao

 ⃔  ()  ⃔ ⃔            ⃔    

va`tfr am asta `isf oi pumti sarli B y oi `foi sarli I.

 

 

Oi mfrni ja asta va`tfr as

 

 

Of nlsnf vinfs hi`ar `fm ois ftris tamslfmas ta mslfmas

Wiri Z  IJ

⃔     ⃔  ⃔   (⃔ )  ⃔  

 ⃔  ()    ⃔         

 

Oi mfrni ja asta va`tfr as

 

Wiri Z  I@

 

 

⃔     ⃔⃔  

 

 ⃔  ()  ⃔    (   )  ⃔      

 

Oi mfrni ja asta va`tfr as

 

 

Wiri Z  IF

⃔     ⃔⃔ 

 

      

⃔   ()    ⃔       ⃔    

 

 

Oi mfrni ja asta va`tfr as

 

 

Ihfri qua tamanfs ofs va`tfras umltirlfs, sustltulranfs y fbtamjranfs ja cfrni va`tfrlio ois

tamslfmas as`rltis am ao aspi`lf trljlnamslfmio.

Pustltuyamjf

⃔     ⃔ ⃔ 

 

⃔     ∛ 

 

⃔     ⃔ 

 

 

 

⃔       ⃔ ⃔     ⃔  ⃔     ∛  ⃔     ⃔⃔  

 

 

 

 

 

⃔      ∛  

 

@fm astfs jitfs muastrf prðxlnf pisf saré hi`ar oi sunitfrli ja cuarzis lduio i `arf am `iji umf

ja ofs akas, f nakfr jl`hf oi rasuotimta ja tfjis ois cuarzis lduio i `arf. Astf mfs qulara ja`lr qua ao slstani asté am aqulolbrlf.

∙⃔  

⃔  

 

Astf mfs qulara ja`lr qua tfjis ois `fnpfmamtas tlamam qua sar lduio i `arf

@fnpfmamtas am X

∛      ∛      ∛      ∛      ∛      ∛      ∛      ∛     

 

@fnpfmamtas am \  

@fnpfmamtas am [

 

 ∛      ∛     

 

 

Bus`infs oi sfou`lðm jao slstani `fm oi a`ui`lðm nés sam`looi, jaspakimjf umi tamslðm am a m cum`lðm ja oi ftri, usira oi a`ui`lðm 0 y jaspakira asi a`ui`lðm am cum`lðm ja Z   I@.

Pfou`lðm jao slstani

   ∛      ∛       ∛    ∛         ∛     ∛         ∛            ∛  ∛      ∛  ∛ ∛      ∛      ∛        ∛    ∛      ∛             ∛  ∛                   ∛ ∛    ∛    ∛    

 

 

 

Pustltuyamjf (:) am (2)

 

 

 

 

@fnf `fmf`anfs Z  jak infs Z   IB sustltulnfs asta viofr ao `uio as 17eM y jakinfs  IF am cum`lðm ja Z   I@, parf imtas sustltulnfs ois a`ui`lfmas (1) y (:) am (9) piri fbtamar ao viofr ja Z   I@. 

Pustltuyamjf (1) y (:) am (9)

                        ∛    ∛   ∛   ∛  

 

 

∛      ∛      ∛      ∛  ∛ ∛      ∛ ∛       ∛      ∛   ∛∛ ∛        ∛      ∛      ∛        ∛      ∛      ∛    ∛      ∛      ∛    ∛      ∛            ∛  ∛             

 

Idrupinfs Z   I@  y ouadf jaspakinfs Z   I@,

 

 

 IB pfr 17eM Rasfovanfs y sustltulnfs ao viofr ja Z 

   

 

Pustltuyamjf Z  I@ am (:) 

   ∛ ∛    

 

   

 

Pustltuyamjf Z  I@, Z  IB y Z  IJ am (9) piri fbtamar Z  IF 

 ∛      ∛      ∛      ∛       ∛    ∛     ∛     ∛        ∛      ∛    ∛     ∛     

 

 

 

 

   ∛ ∛    ∛ ∛     ∛ ∛       

 

 

Ois tamslfmas ja ofs `iboas IF, I@ \ IJ sus viofras sfm IF>  

     

I@>

 

IJ>

 

Wrfboani M·0 Ofs jfs slstanis nfstrijfs am oi clduri sfm aqulvioamtas. i) Jatarnlma Jata rnlma ois cuarzis Ix y Iy y a aoo pir NI b) raprasamta ao slstani najlimta um slstani cuarzi pir am ao f frldam, rldam, `uio as ao viofr ja oi rasuotimta y ao nfnamtf6 `) raprasamta rapra samta ao slstani pfr umi ûml`i cuarzi ¶am quì pumtf jl`hi cuarzi lmtarsa`i ao aka x6 (Siofr; 4 pumtfs)

Pfou`lðm jao slstani Lm`lsf(i)Jatarnlma Lm`lsf(i)Jata rnlma ois cuarzis Ix y Iy y ao pir NI Piblamjf qua ofs slstanis sfm aqulvioamtas, inbfs slstanis puajam sar raju`ljfs io nlsnf slstani cuarzi-pir am F. Wfr asf mfs amcf`iranfs mfs amcf`iranfs am `io`uoir Ix, Iy ao pir NI @fnf sibanfs qua ao slstani as aqulvioamta anpaziranfs i `io`uoir oi rasuotimta am ao aka x, am ao aka y, y am ao nfnamtf `fm raspa`tf io frldam am inbfs slstanis, jaspuìs lduioiranfs y jatarnlmiranfs ois cuarzis.

 

  Jaju`lranfs ois cðrnuois piri am`fmtrir oi nidmltuj ja ois cuarzis, prlnarf of hiranfs `fm oi rasuotimta am X, jaspuìs `fm oi rasuotimta ra suotimta am \, y pfr ûotlnf ao nfna nfnamtf mtf am ao frldam.

       

   

Qtlolzimjf oi radoi ja oi nimf jara`hi fbtamjranfs f btamjranfs ois cuarzis ipol`iji am oi plazi. Ao nfnamtf am ao frldam saré ao a o nfnamtf qua prfju`a `iji cuarzi. Am ao `isf ja ofs 27M muastrf brizf ja pioim`i(f rijlf) sarém ofs :77nn (trimscfrniranfs ois umljijas i natrf) y su jlra``lðm as as maditlvi jabljf i qua io ipol`ir oi radoi rad oi ja oi nimf jara`hi, oi plazi vi i dlrir am samtljf hfrirlf. Am ao `isf ja ofs 07M, muastrf brizf ja pioim`i saré ja 9777 nn y su jlra``lðm pfsltlvi pfrqua io ipol`ir oi radoi ja oi nimf jara`hi jara` hi oi plazi vi i dlrir am samtljf imtl hfrirlf.

      ∙   ∙  

Ihfri hiranfs of nlsnf am ao ftrf slstani

 

 

           ∙           ∙          

 

 

Ois cuarzis ja 27M y 87M astém am ao frldam, pfr of timtf su nfnamtf saré lduio i `a `arf rf

 

 

Wirtlranfs jao ha`hf ja qua ofs slstanis sfm aqulvioamtas. a qulvioamtas. \i qua astfs slstanis sfm aqulvioamtas, lduioinfs inbis rasuotimtas y nfnamtfs.

Lduioinfs (9) y (:)  

            

Lduioinfs y jaspakiranfs Ix.

 

 

Lduioinfs (2) y (1)

 

           

Lduioinfs y jaspakiranfs Iy

 

 

Lduioinfs (0) y (3)

∙  

 



 

∙        

 

Lduioinfs ofs nfnamtfs am ao frldam y jaspakiranfs

 



 

 

 

 

        

Lm`lsf (b) raprasamta ao slstani najlimta um slstani cuarzi pir am ao frldam @fnf inbfs slstanis sfm aqulvioamtas, utlolzira inbfs slstanis piri fbtamar ofs viofras ja oi rasuotimta y ao nfnamtf Anpa`anfs pfr ao slstani 9, of prlnarf qua hiranfs as nfvar oi cuarzi cuar zi ja 27M i oi hfrlzfmtio, y idradiranfs um nfnamtf ja pir am ao pumtf N27 `fnf sa nuastri am oi lnidam, y oi cuarzi ja 07M oi nfvaranfs hi`li oi vartl`io y pfmjranfs ftrf nfnamtf n fnamtf pir am ao pumtf N07.

⃔     ⃔      ⃔   Wir Rasuotimta;

 

 

 

Pu jlra``lðm as imtl hfrirli pfrqua ao viofr mfs jlf pfsltlvf. @fm ao ftrf slstani bus`iranfs oi Cuarzi Rasuotimta.

 

 

 

Cuarzi Rasuotimta; 

⃔  ⃔⃔              ⃔    ||    |⃔|     

 

 

\ oi nidmltuj jao va`tfr

 as;

 

 

 

 

Asa θ `frraspfmja io imduof ja oi rasuotimta ra suotimta `fm ao aka hfrlzfmtio maditlvf, isl qua ao ftrf imduof sarli `fm ao aka hfrlzfmtio hfr lzfmtio pfsltlvf qua sarli ja 971,