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MESURES I MAGNITUDS
+
TREBALL AL LABORATORI
:
F 4 E
E
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A CCA
D aac a a Ta, a a a a a ca, aba aa a a ca a a cac a a a a a a. A a cca.
P aba a a a cac a a a aa, cc c ( cc).
S a a ca cca bbca, ca c , a, baa aa ba cc a a.
E ca aa :
Dc bc
Raa
Cc
D , a a a a a a a a a Ga ca a 1600 a ba cca , aca a a c a :
E bc ca a a.
La a ca caa a aa bc.
Ga a a ca b a a aa a, aa baa. Qa b a ca a aa, ; a aa , cc c a aa aa .
E ac a a a aa ccca a a:
Obac c bc a ac. Raa ba. Ca bbca, ca.
Pacac ac.
Raac ac bc a.
A a b. Cc. Eabac (cc ).
N , a , a aba a a cac ;, a a a bac caa a aba a cc ac a ca. La cca ca, cca ca. A ca a b c , aa, a a aca, c.
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Ha a c a a a a a cca. S a a, aa :
A P A Cc N KGa S H La M Ma
Paca K Da Laac Pac BM C J Wa E RDa A Va DB W
F a ca cca bbca a a cc a cc:
1. Ta a aa
2.
Ta ca
3. Pa a aca
4. Ta a
5. L ca ca
6. L aa
7.
La aaa
8. Dcb a aaca
9. L a aac a
10.Pc aba
11.Eab ab a
12.
Ic a a cca
13.Eab a aa ca
14.Dcb a cca
15.L cac a aa
16.Ta ca
17.
Ta caca
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La F a cca a ca c c , a , a ca ac aca a a aa a ca.E:
Ua a aa a ca a a c, a a ca,...
U c ab aa caa b a aa.
La a cca a ca c , a, a ca aac a cc ca a.E.
U a ab a ca aa.
U ab aaca c .
D , c c?
1.
Ca b......................................................................................2. B aa........................................................................................3. A a..............................................................................4. Eca cac .....................................................5. P a a..........................................................................6. Fac aa ba.....................................................................7. Iaac..........................................................................................8. F........................................................................................9. F ba ...............................................................10.La ac aac aa.............................
11.
C ............................................................................12.La ac ac Sa Ma....................................................13.La ac ....................................................................14.E ca a aa ..............................................15.La a ca a a....................................................16.La aac a a..................................................................17.La aac a c b.....................18.Lbc c a a c.....................................19.La abcac aa c....................................................20.Ra............................................................................................
21.
La cb cbb ....................................22.Ec....................................................................................................
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AD
A a a ca aa .
Ua a a. A a
........................................................................................................................................................................................................................................................................................
P a ca a ba a a?
............................................................................................................................................
..................................................................................................................
E . E aca .
L a caca :
L a caa a..................................................................................................................................................................................................................................................................................................................................
L a ca a................................................................................................................................................................................................................................................................................................................................
L a ca aa EC.U c ................................................................................. ca ..............................................................................................................................................................................................................................
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L a ab caca : .
L a aa a............................................................................................................................................................................................................................................................................................................................
L a a a .............................................................................................................................................................................................................................................................................................................................., c a c, , a a, ca, c.
La a ac ab a aa :
Sc:
V:
Da:
Vca:
Accac:
P:
L a ab caca .
L a a aa aa, c aaa, ,..., a a aa aac a aa, a, , c.
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EA DA
E c a a aa a, aba, a c .
P a a a:
1 E a aa.2 E a caa ca a a a
aa, a , a aa.3 Eab ac a a a.
E a a, ba c a a ca cca, , aa a Cca Ga P M a U Ea. A c 7 a aa
c a a.
Ma aa Ua aa
L c a b SI :
E a ac
c b a a 1/299 792458 .
a aa E () a a aaa aca
a.
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E () a aa 9 192631 770 a aacc a a ac 'a
aa ' c133.
a A Ia c cc
L'(A) a a 'c ca a cc aa,c, a, cc cca b aa a ca ' ' 'a b, a a
a a a 2107 .
K Taaca
E(K) a acc 1/273,16 a aaca aa.
caa c Ia a La (c) a aa, a cc
aa, 'a aaac cca ca 5401012 aa ca a a aa cc 1/683a aa.
Qaa bca E () a aa bca ' a c a a a
c a 0,012a cab 12.
L a a a Sa Iaca b a a a cbac a a aa a . A aaa c a ba a c ab a aa SI.
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Sc aa 2
V cbc 3
Vca /
Accac a aa /2
A aa a
Vca aa aa a/
L a
Fca H
P
Fa, , N
Ea, ca, ba J
Pca a W
Ca cca cb C
Gaa a N/
Ca cc cb N/C
Pca cc V
Rca cca Da a cbc K/3
P aca Pa
Qaa a K/
I a N
M b a a bca:
P Sb Va c
TaGa
Ma
Q
HcDca
Ua
Dc
CM
McNa
Pc
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EE
La ca a ca, c a cc a, ba a ac a, a , a c a.
E a a aa ca a c a a a: 5 , 90 /, 25C.
La a ca, a c b:
H a : .
L c a ...........................................................................................................................
L c a ........................................................................................................................
) Eca ab a c a a aa aa
a aa a. F a ac a aa cc.
)
Eca ab a c a a a a ca caca.
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E E E EE
L a a ab a aa.
La aa a aa a a. C a
b , caa caca.
La ba 1 .La ba a baaa aba ...............
La ca a a caaca a a a a a aa a a aa a.
U a a a a a a a.
U a c, c ac c abcac. P , a aa a caba a a c ( a a ), cac.
A a :
Ca ca....................................a.............................. Caba ( ) ....................a..............................
Pa.............................................a.............................. C.......................................a............................. Baaa.............................................a............................. T......................................a............................. A.....................................a............................. V.........................................a............................. Da....................................a............................. F.........................................a............................ A.....................................a............................. Ma........................................a............................
Ba.........................................a............................. T......................................a............................
S aa a a a aab (a) b a ac, a aca a c .
L ca caca . Pcca a ac a,
a , a a.
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Daa baa, ab . E c a a a, acca a aaa cab ca.
Ua cacac a :
ERRORS PERSONALS: S c ca a a aa a a. E a c acca. Sc a a c ca, aba a aa b a caa aaca ( aaa) a cca aa a. E acca c a a a ca a aa a, a aa aa caa , c.
ERRORS DE PROCEDIMENT: S c a aca c aa.
ERRORS INSTRUMENTALS: A a a cc aa a. A a a aca c aa a c cabac. S c.
P a ca acca a a a aa c a a a aa aca ab.
P a a ca aa aa b ba b a a ab aa.
Qa aa a a a ca a c. A, :
E AB: a ca, a ab, a ba () a ac ().
Ea=
Qa a c a a aca a aaaca . L ab aa a caca a caa a. L ab a a.
L a a : ( E)
U a ab c a a a ba a. P , a a 'a 'a a aca ab
1 , ca 'a a ba a; aa b, 'a'a abac ab a b a .
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E EA: c ab a ac aa. L a a a %.
100=m
EaEr
L a a : ( E(%) )
L a a a c a a caa a c .
L () a a a ca aa. Ea a aca a a a c.
P , a a caa ab caba 7,3 , aa caa aca c , b baca a a c.
L a a ca: T a a a ca.
P , 14,32 4 . E aa a a a a ca ca. P ,
21,00 c3c 4 .
E a c b c ca. P a a 0,0340 a ca c 3.
E a b ca ca ca,c ca a ab . A, a a 540 c 2, 540. .
E a ca a caa F1 M aa a a , , 45,4 ; 44,8 ; 45,7 ; 46,5 45,0. R a :
a) Q a ca ?
) Caca ab a a a a acca.
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M a aa a a a c b a :
La a a aa (60,0 0,1) .
E c a aa (1,30103 10) .D a a a ca.
V caca a a ab. P b a a aaaa a baaa, aa aa a a.R a ac a b a:
() 12,54 12,57 12,49 12,60 12,58 12,52
V(c3) 4,28 4,32 4,26 4,25 4,42 4,34
a)
Caca a aa a a.b) Caca a a aa /c3, /3 a Sa
aca.c) Caca ab a aca a a a a aa
.
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E a a aa a a Ta 9,81 /2. S a aa 10, ab a ?.
***Pcca 1: M a
:Ma a a a ca a a(ca ca)
:P C ac
C aBaaa ccaPa
E a ab a a aa () (2R) caac.
Aa (c) D (c)
E c caca ca a a ba aa: hRV =2
Aa (c) Ra (c) V (c3)
C ac
C a
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Ra a a aa a a.
V ca (c3) V a (c3) V (c3)
C ac
C a
M a aa ab a baaa cca.
Maa ()
C ac
C a
Aa cac a a aa c ab cacaa a ab , ab caca ab aa.
=
3cm
g
volum
massad
Da (/c3)( )
Da (/c3)(a)
C ac
C a
La a a a ......................... a aa aa.
C 7,85 /3.C 2,70 /3.
Cac, aa, ab a . Qa a aca?
E ab( )
E a( )
E ab(a)
E a(a)
C ac
C a
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Ca a a cca aaa, ac :
Paa, c a cca, aa aac
a c Obc a cca Fa c, c cc a cca Maa Pc Da Cc Cc Bbaa
EAC EE AABE
Qa a aa, a a aa ac .L a aa aab.
A, , aca c a aab
a ca a a c, a a ca, a a ,...
E c a aa a c........................................................................................................................................................................................................................................................................................................................................................................................................................
........................................................................................
E aa a ...........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
A a a a ca aab a ca ca a
ca.
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E : Vaab : S a a a
baa a ca ca aab .
Vaab : S a ba caa aab .
Vaab ca: S a ca a ca caa a ca aab .
E Vaab
Vaab
Vaab
ca1 Ica c
c a aca.
2 Ica a aa a a a
c.
3 Ica a aa a c a aa.
4 Rac ca a a ca.
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U c aa , ca aaa a a ac a aab a aab . Aa ac aaa a (a aca).
P a aa ca a a ca a b. E a a aab abc (X) a aab a (Y).
E c a a c, a :
Ma ca ca:
Ma a ca:
Ma ab ac aca:
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U a a a ac a A B, b a :
A 2,3 6,4 8,7 9,2B 5,3 14,7 20,0 21,2
a) Ra ca a.b) Qa a a ca ?c) La aa A B a ca
ca. c ?
U cc aca a ca ca a cc cc a a a c cc. Rc a b a aa:
V(V) 0 2,2 5,3 7,2 10,0 13,0 14,4 18,0 19,6
I(A) 0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8
Tba a ca aca a.
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FAC DE CE
E aca a aa a a aa a. Ec ca baa a ca a aa a a aa a acc a a a ca a a aa a, a a a a a aba; cc aca a a a c a aca a a.
[ ] [ ] finalunitatinicialunitat
finalunitatinicialunitat =
Eca ca a , a .
a) 0,025 a
b) 35 2a 2
c) 120 / a /
) 25 / a /
) 11200 / a /
) 20 / a /
) 120 / a /
) 0,5 /2a /2
)
12 3a c3
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CE, FAE!!!!!!
La a aa Sa Iaca a () a.
Rca a a caaca a a aca ab aa Sa Iaca 1 3 = 103 L.
L ab , a caca a ab, a (a aa a a).
Qa aa a a a c, acaa a a aa: 1 T2 = (1012)22= 1024 2. Qa aca ,
aca a a a cb: 1 3
= (102
)3
c3
= 106
c3
.
Qa a ca aba a , a a caca a a .
P caa a c a caa a(ca caa a) ab.
Qa ca aab ca , b ca b caa a a aa a aa a.
ACA EE AD
1. D , ab c c c.
2. Caca c c.Cb cab B aaRacc a Caa a aPacc a Iaac a baa caFac a RacEc Oac ca
3. D a.
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4. Ca 4 a c a ca ab aa a a.
5. Maca cc a :A OEac VcaDa EaaV
6. Caca a caa ca:o To
Fao Vcao Maa
7. Eca Sa Iaca a ca aaa a.
8. Caca a, a aa a :
Ca ca , , c, ca, a, , ,, a, aa, ca, , aa, a, .
Ma Ua Aa a
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9. Ea a SI ab ac cca aa :
a) 23
b)
45 MA
c) 15
) 5 A
) 8,3
) 0,25
10.La a a a aaa TFT a 480 c/c2.Ica a a c/c2 c/2.
11.Ea a Sa Iaca :
126h
km
300min
hL
12.Ica a ca a a a 0,310 .
13.A a aa a 34,562 a 3 ca.
14.Laa a a aa a 120 a. Qa a ac cca ?.
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15.E c a La a a a Ta 27,31 .
Caca a ac cca.
16.La aa 1,671027 . Qa a aa aa ca ?.
17.Qa a ca? Jca a a a.
a) (7,5 0,25)
b) (251,7 2,3)
c) (14,2 0,5) K
) (76,5 2,5) L
18.Oa a a a aa :
a) 1,5 a; 2105Pa 1 710 H
b) 2,65 J ; 0,25 ca 2,6104ca
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19.E aba a a a ca a ba ac
a ca. P ba a b a: 2,0 ; 2,2 ; 2,2 ; 1,9 ; 2,0 ; 2,3 ; 2,2 2,0 . Ea a a a c ab a.
20.E aba a a a b c ab a ( ): 2,45; 2,44; 2,42; 2,43; 2,40; 2,20;2,45; 2,42; 2,44 2,45. Ea a c .
21.D :c) Ua 10 c ab ab 4 ) U 25 c3ab ab 2 c3
Ica a a a ca. Jca a a aaca.
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22.Raa aca a ac c:
a) L ab a ca 90 c.1. Caca aaca .1.
b) L ca ab a ca 4 .1. Caca aa ca .1.
c) La ca AVE 300 .1. Bca aa ca a.1.
) La a c 13,6 /c3. Bca aa a .1.
) La a a a 4 .1. Ea aa a .1.
) L aa a La a a 400 caa 2 (400 .2).Ea aa aa .c2.
) La a a c caa aca a a
a. La a a a a 130000 a/. Ea aaaa M/ ( a caa a).
) U a a a ca 70 a/2. Ea aaa /2.
)
E c a 2500 .1
a cca ab aca 108 .1. Caca a aaa c caa c .
A a b acca:://cacaa.//3/cc/cc1.
://.a./aa/a01a
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E
La ca a baca a cca a caac bc
ca baa ab a, aaac aa bc a a a ca. Laca a a aa aa ab a .
E c ba c a, a, b c, bc a a a a ab, c cca aa c a . E a, aca a a ca a a a.
Q aa a acac c? Maa , a ca aca cca a aa a caaa a caa cc.
S aa aa aa :
A ca! N .
Aa ba ca! Q b?
A b! T ca c c , a, c !
E a cac a aba a acca a aaa aa cca caa, bca a, aab a caac aa.
Sba , c, a ca a aa . P, aa aa aa!
E cb c a a a a a cac : a, c, a a, abc, c, aba ca a.
La ca cb ab cc :ca, ca, ba, aa, aca, aa, a,aa,
Ta a aa a aa c c acc c.
La ca ca b caac .
La ca a a ca a a ba ca, c,a aa, , a caa a.
S a ca, a c. La cca, a ca, c a , ca.
La ca baa cb aa, ca, c a aa c ac b a aa a.
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P a a a, ca c aa aa cca aaa , ca, ccaa a a a .
L c aa a c ba a aa cc: cc.
L aa a cca.
Ec a a ba aba acc c a, caca aa ac a a ( ca), aa a aa
a b, c.
Sa aa a aba ab:
A a. P a.
C ca .
Ha caa ab aa a cca a aa.
Aa a a b a ba aba. a c : ca c, ca a, bc c c, c. L a a a c .
L aac a ba aba a a aa a cca.
Rca a aba.
Ca a b a cc (aaa b ca).
Raa a cca, aac cc.
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1. E aba, ca baa ab aa, c; a a c a, a aaa a acc c a a baa aba a a ba
a, a a a.
2. E ba a aaa c a a a c aca b cca, a a a a aaa c .
3. Sa aa c ab c c a a c a ba. E aaa ab a ca, ca a a. E , a ab a , a a acc.
4. L acc a cc a c a a aa ab ac ca.
5. P a b c, ca c aab c ac,, c, c, ac a c.
6. L ca a aca b, aaa a aa, ab .
7.
P a , caa b aa, c a, a aca a a aa aa caa caa. Ma a a bca b ca a a caa.
8. Ca baa ab aa ab c, ca. S a ca ca a aa , a c /a ca .
9. N a a a c ac a aa a c a, a , b, a ba ca ca
acc .
10.N a a a b a a ca.
11.E ca ab aa ca.
12.Sa aa c c ab cac, . Na a ca c c c a, /a ac.
13.Qa acaba ca, a a a aa a ba. Ca, ab, a a.
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Caa a a a aba c. Pa , a, ca ab a a a a aac c c. P aa a, a c
c ca a a a ac aa a aaa.
A a 1 b 2010, a ba a caca,a aa c c a a ca ab , caa , a c, ac a 2015.
E AC CAE:
Tc F + M c F+ M aab
O Cb C C
E E NP a ab
Xn NociuXi Irritant
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E CAE b ab a b, ab a a a bac, b a ( aa a ab a aa). S :
E: a b a bba a aa c a cac ab a aa, a, cca ca, ac a ca, cac ab a c, a, c, cc, c.
E a a a, c a a, a a acaba, b 50 C.
FAABE: c ca a ca a c, a 0 C, cac ab a aa, a, ccaca, c.), ca cc, cac ab a aa, ab aaab. Lac, a, a a a a ca, aca, a, a , a , ca a, c., aab.
CBE: a ca caa a caab, a aa a b cc. E a aa c aa c cb. S c c cac ab a
bc, b aab, ca, aa aa c a. E c , c c acc, cb.
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A: b a bba aaa aba . A a ab a ca, c a c, a . E a a caa ca c a a baa aa. E a aa aa b a ac c, a a a .
C: c aaca a caaa b a a , a , ca cac cc.
CA ADA: a caaa b caa c a c a a a a, , ab cc a. E a cac , , a ca, a c. E ca , caa a.
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AC CA: caac a c a c ca a. Aa cc a ac , a, a , ac, ca .
E E AAC: a c abaa a aac caa c a , ca, a a . P ca c cac, (ADN c a a a aa a a cca), c a a cc, caa c a c a, a a, ca
a aac, ca ca c a, c , a , c., ca c b caa a.
E E A ED ABE AC: a caaab ab ca c ca c a aa ac (, cac, a, a a a, c.).La cacac caa c c ab b ca a a c caa c b a caa .
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C ba a aa aa a bc aba c , a aa a aa ac :
Pca aca aa a a aa c c. Taaca, ba ba acc.
P aab.
Tab a a caa, aa, caa aa a a a aa ac c.
cb a ba a a aba, a ca a, a a a ac c a a .
Ua aa caca aa aba :
DISSSENYATS PER MESURAR VOLUMS DE LQUIDS
1. Ma aa: Rc ab a c a a a a a a a caaca. Sa aa c ccacca.
2. Pa aaa: Rc aa a b a
aa a. Na a aac .
3. Ba aaa: Rc aa a b a a a a ca a a . La a a aab a aaac, a ca, aba a c . Sa .E ca a a ba a.
4. Pa: I a b a a ab a c. P , a a
aa, cca . N a : Aaa, a a aca c .
Gaaa, a aa aca.
DISSENYATS PER BARREJAR I ESCALFAR
5. Va ca: Rc cc ab bc. a aba. Sa , caa, baa, a,
acca,...Qa a aa, a aaaa. N a , a, caaca.
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6. E: Rc a c c aa .Sa caa c, b, a ab aba a . P a aa.
7. Tb aa: E a a a aa ,
a, ab aa .
8. Ma: Rc a ca ab c. P a. S caa c . aa bc ac acc ca caa cca ab a aa, a aa a b b ca.
9. Ca caa: Rc caa bc aa a c a.
10.
G: Rc caa bc a a a c a.
ALTRE UTILLATGE
11.Eb a aaa: I a aa .
12.Eb Bc: Aa a a aa a a b.
13.
Eb caac: S aa cb.
14.Aa : S cca ab a a.
15.Ra: Aa a ac acc a c .
16.Caa ac: S cca a ab a ac.
17.
Cc ca: P c c b.
18.Ca V: S a ac accaa.
19.Vaa : S a.
20.V : a aa , ba aa.
21.
Caa: S caac.
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22.T: I a a a aa.
23.Ca P: I a a c bc.
24.M: Aa a a c.
25.Dca b: S aca ca a bc.
26.Fac a: S c aa.
27.G ca: E a aa .
28.Kaa: Rc a c a ac a b.
29.
Tb : A a a acc.
30.Baaa: I a aa. Aca baac a ab c , c .
31.Ea: E aaa c . N a , aca a a ca.
32.Ta: P , c, aa , a acc.
33.Bc a (bc B): F ca.
34.Pa : Maa ab a c ac . Sa a ac.
35.S: A a ac, ac, acc, c.
36.T : E c bca aa caa.
37.Cc: S bca b a ac.
38.Gaa a b aa
39.Pabc: c a bc a a acaac a.
40.N b: A a a.
41.
Pa: E bca aa, b, b, c, a.
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42.Ta aca: E bca caa
.
43.Ra: aca aa aca cac c a
aa b c caa.
://ca.c./aa//.?a=1
A cac, aa b a aba a.
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ACA EBA A ABA
http://clic.xtec.cat/db/act_ca.jsp?id=1053
A
1. Aa ca cc, a a a aa cca aca caa ca:
a) Qa a aba, a b ca a a a aa b a a a aac c aa.
b) LAa , a a a, aaa ab a b aa caa ab a aa bc B, ca ca ca cca.
c) La Ja a Laa a aa a c a c c, ac a a c cca. P aaa a a c ab a bca aa a aa ca.
) LHa P a a a acc ca a a a a a c, a a aba cc a baa.
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) La Paa R a acaba a cca c a ba aca c. P aa, c a ac ba ac a.
) Da a aac a cca aba, a Na a Ca b a a caa a cab a aa c. Q c a a ?
) E S ca caa a 50 C c c a,
aab. C aa a aba?
B
1. Qa ac a aba ' aa , aca c , caac ca 'a aba
c. Ca a aa :
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2. Q aa c ca a abac 9,5 L aa? Ra .
a) a aa 10 L
b) a aaa 10 L
c) a aaa 10 L
) a ca
3. O a b:
a) S a ca aa , a aa ab ................................................
b) P aaa aa c c a a a....................................................
c) S caa a a bca c a
................................................
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) P aa ac a b a aba c a .................. b .......................
) La ....................... a b aa ab a ca a a aa a aba.
) P aa a ac c ca a a................................................
) E .............................. aa a a a aca bc.
) Qa a a aa a bca a ab a baaa a a a b a .......................... a ba ab a a baaa.
) La .............................. ........................ a caa aa caa a a a.
C
1. E a c aaa a (KMO4)aa ca :
a) Q ca a ca?
b) Q cac ca aa aaa a?
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2. Lc ac (c acc) c c b. Aa ca a a a aa c ac cca:
a) E ca A, B C
b) Ca a ca
c)
E caa A
) E ca A B
Aa ca ca B, C D a a a:
a) Iaab, aac cb
b) E, ac ca cb
c) Cb, ac ca
) Iaab, ca aa c
3. I ca ac a aa c c c cca (HF (a)):
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4. M c c c bc a ca a b a a a cac ca aa.Bca a caa a c a a a ca a ca a aa :