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7/17/2019 R.M. IV BIM
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RAZONAM.
MATEMAT
. IV BIM.
TRILCE PRIMARIA
LOCUTORIO REN@TRIXCEL :992444616
7/17/2019 R.M. IV BIM
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RAZ. MATEMATICO
Í n d i c ePág.
å Líneas abie!as " #ea$as...............................49
å %eies n&'(i#as.............................................)*
å Ma"+, 'en+ + i-&a #+n n/'e+s $e #&a!+ #i0as )
å O$ena'+s $a!+s.............................................61
å %eies as#en$en!es " $es#en$en!es #+n n/'e+s $e#&a!+ #i0as.....................................................6*
å P+be'as #+n e$a$es.....................................6)
å Pi'i$es n&'(i#as...................................69........................................................................
COLE3IO TRILCE P-ina 2
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RAZ. MATEMATICO
Obsea #+n a!en#i5n.Líneas curvas abieras
Líneas curvas cerradas
COLE3IO TRILCE P-ina *
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RAZ. MATEMATICO
!A"#ra$ in%na&# '.(
ib&7a se-/n + 8&e se in$i#a:
Líneas #&as #ea$as Líneas #&asabie!as
COLE3IO TRILCE P-ina 4
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RAZ. MATEMATICO
A $es#&bi as íneas+i-+naesObsea:
Líneas )#&ig#na&es abieras
Líneas )#&ig#na&es cerradas
A"#ra e #ca a i.
I. ib&7a íneas +i-+naes abie!as #+n #++ +7+ " íneas+i-+naes #ea$as #+n #++ a&.
COLE3IO TRILCE P-ina )
7/17/2019 R.M. IV BIM
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RAZ. MATEMATICO
II. Res+n$e:
1. ;5n$e +$e'+s en#+n!a íneas +i-+naes<
=======================================================
=======================================================
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2. ;C+n 8&( íneas $ib&7as >-&as + s5i$+s -e+'(!i#+s<
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*. ?&s#a &na >-&a $e eis!a, (-aa en e e#&a$+ " #+n &ns++ #++ $e &'5n $einea !+$as as íneas 8&e aen$is!e.
COLE3IO TRILCE P-ina 6
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RAZ. MATEMATICO
6000
+2
6008
7063
+3
7075
COLE3IO TRILCE P-ina
8035
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8031
e'&es!a + 8&e sabes,eaian$+ es!as seies. ebes#+'e!aas #+n +s n/'e+s 8&e0a!an. Re#&e$a &e$+ #+n!a $e$+s en $+s... + e!+#e$e. tc "
e'&es!a + 8&e sabes,eaian$+ es!as seies. ebes#+'e!aas #+n +s n/'e+s 8&e0a!an. Re#&e$a &e$+ #+n!a $e$+s en $+s... + e!+#e$e.
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RAZ. MATEMATICO
6077
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5429 5438
8068
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8060
5120
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5126 5132
COLE3IO TRILCE P-ina
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RAZ. MATEMATICO
COLE3IO TRILCE P-ina 9
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RAZ. MATEMATICO
A#!ii$a$es aa #asi!a
A. Es#ibe $e B a 9BBB $e 1BBB en 1BBB.
?. Es#ibe $e **BB a BBB $e 1BB en 1BB.
C. Es#ibe $e *BBB a 2BBB $e 1B en 1B.
COLE3IO TRILCE P-ina 1B
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RAZ. MATEMATICO
1. Es#ibe 'a"+*
, 'en+
*
+ i-&a +
en:
A. 11BB 11B) ?. 2 B4 212
C. 4 *9 4)* . B1 B1
E. 2 B* 2 *)6 D. B49 B)*
3. ) ) ) 6*6 . * B6 *)
I. 9 * 9 * F. ) B4 ) B4
COLE3IO TRILCE P-ina 11
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RAZ. MATEMATICO
1. Es#ibe G, 5 H en +s :
A. 1 *) 1 *) ?. 2 64 2 4
C. ) 4* 6 *9 . 666 64
E. 4 *)B 4 )*B D. 9 999 999
3. ) 4*2 ) 644 . 1 BB 1 BB*
COLE3IO TRILCE P-ina 12
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RAZ. MATEMATICO
I. 2 B4* 2 4*B F. 4 B*9 4 *9B
. 4 129 4 1*B M. * 629 * 46
N. 1 ) 1 ) J. 2 4* 2 *4
O. * 69 * 96 P. 9 2 9 96
K. ) 4*2 ) 6*9 R. * BBB * 1BB
%. 4 *6 6 4* T. 21 21
U. )1 )1 . 4 *69 4 6*9
COLE3IO TRILCE P-ina 1*
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RAZ. MATEMATICO
. 6 4*9 6 *49 X. 21 21
. ) 496 ) 946 Z. *4) 4*)
1. Lee a!en!a'en!e.
E a&!+ $e Man&e es! a >na $e a >a. E a&!+ $e Es!ebanes! $+s a&!+s 's a$ean!e 8&e e $e Man&e. %i Pe$+ sees!a#i+n5 i'e+, ;#& es e a&!+ $e L&is<
R : ================
COLE3IO TRILCE P-ina 14
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RAZ. MATEMATICO
2. C++ea +s #í#&+s, si-&e e +$en 8&e se in$i#a.La +0es+a +$en5 +s -&+s así: E #++ a'ai+ abi e$es>e " e #++ a& + #ea. %i e e$e es! 's
5i'+ a a&, ;en 8&( &-a e !+#5 a +7+<
1 2 * 4
R : ===============
*. En &n e$i>#i+ $e ) is+s, Maía ie en e /!i'+ is+. Pa&aie * is+s 's aba7+ 8&e Maía. Ana ie s+be e is+ $ePa&a " Ae7an$a en e is+ 's ba7+. ;En 8&( is+ ie%an$a<
R : ================
4. AQ+a inen!a &n e7e#i#i+ " es&(e+.
=======================================================
COLE3IO TRILCE P-ina 1)
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RAZ. MATEMATICO
=======================================================
=======================================================
=======================================================
I. C+n!in/a a seie, $e 1 en 1.
, 1BBB , 1BB1 , 1BB2 , ===== , ===== , ===== , ===== , ===== ,1BB,
===== , ===== , ===== , =====, 1B1*, 1B14, ===== , ===== , =====,
===== , 1B19, ===== , ===== , ===== , =====.
, 1221 , 1222, 122* , ===== , ===== , ===== , ===== , ===== ,1229 ,
COLE3IO TRILCE P-ina 16
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RAZ. MATEMATICO
12*B, ===== , ===== , ===== , ===== , ===== , ===== , 12*.
, )B94, ===== , ===== , ===== , ===== , ===== , ===== , ===== ,
)1B2, ===== , )1B4, ===== , ===== , ===== , ===== , ===== , ====,
)111, ===== , ===== , =====.
II. C+n!in/a a seie, $e 2 en 2.
, 1*24, 1*26, 1*2, ===== , ===== , ===== , ===== , 1** , ===== ,
===== , ===== , ===== , ===== , ===== , ===== , ===== , =====.
, 14, ===== , ===== , =====, =====, ===== , 196 , ===== , =====,
1B2 , ===== , ===== , 1B , ===== , ===== , ===== .
, B96 , ===== , ===== , ===== , 1B4 , ==== , ===== , ===== , 112,
===== , ===== , 11 , ===== .
COLE3IO TRILCE P-ina 1
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RAZ. MATEMATICO
, 944), ===== , ===== , ===== , ===== , ===== , 94) , ===== , ====,
===== , ===== , 946 , ===== , ===== , 94* , ===== , ===== .
COLE3IO TRILCE P-ina 1
+" aen$es a es+e +be'as #+ne$a$es. tc "+" aen$es a es+e+be'as #+n e$a$es. %+n s/e $ie!i$+sS tc "%+n s/e$ie!i$+sS
a !e $as #&en!a tc " a !e $as #&en!a
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RAZ. MATEMATICO
1. L&is !iene a+s.A0e$+ !iene e !ie $e a e$a$ $e L&is.R+ana !iene $+s a+s 's 8&e A0e$+.Caa es 'en+ 8&e L&is + &n a+.
;C&n!+s a+s !ienen R+ana " Caa<
Oea#i5n Res&es!a
2. Dabi+ !iene 2 a+s. Tania !iene e $+be $e Dabi+.%&s" !iene 1) a+s 's 8&e Dabi+.
;C&n!+s a+s !ienen Tania " %&s"<
*. T+!+ !iene * a+s.Ra/ !iene 4 a+s 's 8&e T+!+.%e-i+ !iene e $+be $e a e$a$ $e T+!+.
COLE3IO TRILCE P-ina 19
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RAZ. MATEMATICO
;C&n!+s a+s !ienen T+!+ " %e-i+<
4. Cis!5ba #&'i5 14 a+s.
Re#ibi5 en e-a+s, e $+be $e s& e$a$.L+s ini!a$+s 0&e+n e !ie $e s& e$a$.
;C&n!+s e-a+s e#ibi5<
;C&n!+s ini!a$+s 0&e+n<
COLE3IO TRILCE P-ina 2B
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RAZ. MATEMATICO
ACTIVIDADES PARA
CASITA1. Cea !es e7e#i#i+s en !& #&a$en+ " es&(e+s.
1. C+'e!a as i'i$es &!iian$+ as si-&ien!es+ea#i+nes: a$i#i5n, s&s!a##i5n " '&!ii#a#i5n.
COLE3IO TRILCE P-ina 21
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RAZ. MATEMATICO
COLE3IO TRILCE P-ina 22
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RAZ. MATEMATICO
COLE3IO TRILCE P i 2*
