Boletin Semana N°6 Ciclo 2020-Ii-15-20
July 8, 2022 | Author: Anonymous | Category: N/A
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Ici Icillb ?:?:-C C
QENYN-IA EX_ B Z_A QEC WA _YC XM_ C B
K moc lclch hmh L ùf c ib N mtanítc im A@A_ICICBY =.
Mzuiaem asircoa al eðnarb : b al = ae imhm imscllarb ha uem iumhrciulm ha 1Ö1 ha nmearm qua imhm iumhrmhb ?Ö? ha hcikm iumhrciulm, ibetaefm axmitmnaeta 9 cfumlas. ²Iuíl as lm níxcnm sunm pbscola ha tbhbs lbs eðnarbs asirctbs aeeðnarbs lm iumhrciulm2 M) ?=
?.
O) ??
I) ?:
Ae lbs trcíefulbs nís paquaýbs ha lm gcfurm haoae asircocrsa lbs eðnarbs =, ?, 9, 8, 1 y 7 ha tml nmearm qua lbs sacs trcíefulbs nís paquaýbs qua gbrnae ue kaxífbeb taefme lbs sacs eðnarbs hcstcetbs. Mlfuebs ha lbs eðnarbs ym sa kme asirctb. ²]uã eðnarb haoa cr ae al trcíefulb sbnoramhb2 M) 8
9
I) ?
1
H) 9
?
8
7
1
9
=
8
O) =
?
1
7
7 9
8
= 1
9.
H) =;
?
= 7
Ae al scf scfucaeta ucaeta frígcib, sa iblbime gcikms aeunarmhms hal = ml 6 6.. ² ²Iuíetms Iuíetms gcikms haoae sar imnocmhms ha lufmr ibnb nîecnb, pmrm qua lm sunm ha imhm gclm gbrnmhm pbr tras gcikms sam lm ncsnm y lm naebr pbscola2
M) 9
=
9
7
O) ? 6
I) 8 H) 1
Yan Ya nmem E ° 7
1
?
8
(Zr (Z r bkcochm kcochm su ra rap prbhui rbhuiicù icùe e y vaet etm m)
Zíf. Zíf. = =1 1
Ici Icillb ?:?:-C C
QENYN-IA EX_ B Z_A QEC WA _YC XM_ C B
8.
Ae imhm ueb ha lbs iumtrb vãrtcias y lms sacs mrcstms hal tatrmahrb ha lm gcfurm sa asircoa ibe ueb ha lbs eðnarbs =, ?, 9, 8, 1, 7, 6, ;, 3 y ==. Zmrm iumlasqucarm hbs vãrtcias hal tatrmahrb, lm sunm ha lbs eðnarbs asirctbs ae astbs vãrtcias as cfuml ml eðnarb asirctb ae lm mrcstm qua lbs uea. Yc eb sa rapctae lbs eðnarbs y ae lm mrcstm MH astí asirctb al eðnarb 3, ²quã eðnarb sa asircocrí ae lm mrcstm OI2 O
M) 8 O) 6 I) 1
M 3
H) 7
1.
I
H
Ibe lms gcikms ha ue `uafb ibnplatb ha hbnceù sa hasam ibestrucr ue iumhrmhb nífcib mhctcvb (lm sunm ha lbs puetbs asirctbs ae imhm gclm, ae imhm iblunem y ae imhm hcmfbeml as lm ncsnm) iuym sunm nífcim as =:. Ae lm gcfurm sa nuastrm al iumhrmhb nífcib, ha lms iumlas sa ibebiae lbs puetbs ha 8 gcikms y sa hasibebiae lbs puetbs ha lms btrms 8. Ya nuastrm uem ha lms gcikms hasibebichms ibe uem ha sus pmrtas sbnoramhm. Yc lbs puetbs qua vme ae lm pmrta sbnoramhm ha astm gcikm as níxcnb, ²iuíetbs puetbs sa haoa iblbimr ae lm btrm pmrta ha lm ncsnm gcikm2 M) 9 O) ? I) 1 H) 8
7.
Ae lms imscllms hal tmolarb ha 1Ö1 qua sa nuastrm ae lm gcfurm sa haoae asircocr eðnarbs aetarbs pbsctcvbs, ha tml nmearm qua lbs eðnarbs asirctbs ae lms imscllms mhymiaetas(lms qua tcaeae ueczqucarhm. lmhb ae ibnðe) hcgcarae ae =. Al eðnarb ymmlfuem sa km asirctb ae lm asqucem suparcbr Yc al eðnarb 3 tmnocãe astí asirctb9 ae imscllm hal tmolarb, ²iuíetbs eðnarbs asirctbs, hcstcetbs kmy ibnb nîecnb2 M) 8
9
O) 6 I) 1 H) 7
Yan Ya nmem E ° 7
(Zr (Z r bkcochm kcochm su ra rap prbhui rbhuiicù icùe e y vaet etm m)
Zíf. Zíf. = =7 7
Ici Icillb ?:?:-C C
QENYN-IA EX_ B Z_A QEC WA _YC XM_ C B
6.
Al scfucaeta iumhrmhb nífcib as nultcplcimtcvb (al prbhuitb ha lbs eðnarbs asirctbs ae lbs imscllarbs ha lms gclms, ha lms iblunems y ha lms hcmfbemlas as lm ncsnm). Yc ym sa kme asirctb mlfuebs eðnarbs, ²iuíl sarí lm sunm ha lbs eðnarbs qua sa asircocríe ae lbs imscllarbs sbnoramhbs2 M) 78
-=;
O) ?1 3
I) 18 -;
H) 3:
;.
Mhalm tcaea ue iumhrmhb nífcib nífcib mhctcvb (lm sunm ha lbs eðnarbs asirctbs ae lms gclms, ae lms iblunems y ae lms hcmfbemlas as lm ncsnm) ha 1Ö1, tml ibnb sa nuastrm ae lm gcfurm. M allm la gmltm asircocr lbs scfucaetas eðnarbs0 ?;, 9=, 89, 1?, 11, 1;, 7=, 78, 76, 6:, 69, 67 y 63. Yc Mhalm lbfrm asircocr tbhbs lbs eðnarbs iunplcaehb smtcsgmitbrcmnaeta lms ibehcicbeas ha ue iumhrmhb nífcib, ²iuíl as lm sunm ha lbs eðnarbs qua sa aeiuaetrme ae lms imscllms sbnoramhms2 M) ==6
=9
83 87
=:
O) =18 ?1
8:
I) =7=
96 =7
6 =3
98
??
H) =?1
A@A_ICICBY Z_BZQAYXBY =.
Nmrîm asircoa hbia eðnarbs aetarbs pbsctcvbs ha ue sblb hîfctb, ae lms imscllms hal tmolarb 8Ö9, ha nbhb qua lm sunm ha lbs eðnarbs asirctbs ae imhm uem ha lms gclms sam lm ncsnm y lm sunm ha lbs eðnarbs asirctbs ae imhm uem ha lms iblunems taefme lm ncsnm sunm (eb eaiasmrcmnaeta ibceichaeta ibe lm sunm metarcbr). Yc allm ym asircoîb mlfuebs eðnarbs ibnb cehcim lm gcfurm, ²iuíl as lm hcgaraeicm aetra lm sunm botaechm ae uem gclm y lm imscllm sbnoramhm2 M) =9
? 8
O) =8 I) =?
?
9 9 7
=
H) =:
Yan Ya nmem E ° 7
(Zr (Z r bkcochm kcochm su ra rap prbhui rbhuiicù icùe e y vaet etm m)
Zíf. Zíf. = =6 6
Ici Icillb ?:?:-C C
QENYN-IA EX_ B Z_A QEC WA _YC XM_ C B
?.
Hmhb al scfucaeta mrraflb eunãrcib, hatarncea al vmlbr ha x. M) 8 = 9
O) 1
I) 7
?
9
9
8
8
7
1 1 7
H) 6
9.
8
6 x
Lbs eðnarbs hal = ml =: h haoae aoae ha as asircocrsa ircocrsa ae im imhm hm ueb ha lb lbs si iîriulbs îriulbs paquaýbs, ueb ae imhm iîriulb sce rapatcr. Lbs eðnarbs sctumhbs ae hbs iîriulbs ibetcfubs haoae taear lm ncsnm sunm qua lbs eðnarbs qua astíe ae lbs hbs iîriulbs hcmnatrmlnaeta bpuastb m allbs. Yc mlfuebs ha lbs eðnarbs ym astíe asirctbs, ²quã eðnarb haoa asircocrsa ae al iîriulb nmrimhb ibe x2 =
M) 9 x
=:
O) 8 3
I) 7 1
H) 6
8.
?
Ae lm gcfurm, hatarncea al vmlbr ha
x ?
9
y 3 .
M) 3 O) ; I) 6 H) =6
Yan Ya nmem E ° 7
(Zr (Z r bkcochm kcochm su ra rap prbhui rbhuiicù icùe e y vaet etm m)
Zíf. Zíf. = =; ;
Ici Icillb ?:?:-C C
QENYN-IA EX_ B Z_A QEC WA _YC XM_ C B
1.
_cimrhb qucara asircocr ue e eðnarb ðnarb ae imhm uem ha lms scata raf rafcbeas cbeas ha lm gcfurm. H Hbs bs rafcbeas sbe ibetcfums sc ibnpmrtae mlfuem pmrta ha su grbetarm. Al eðnarb asirctb ae imhm rafcùe haoa sar lm sunm ha lbs eðnarbs qua kmy ae sus rafcbeas ibetcfums. Yc hbs ha lbs eðnarbs ym kme schb asirctbs, ²quã eðnarb sa haoa asircocr ae lm rafcùe iaetrml sbnoramhm2 M) =: -6
O) ’=:
9
I) 7 H) ’8
7.
Mem qucara asircocr ue eðnarb ae imhm ueb ha lbs imscllarbs hal obrha ha ue tmolarb ha 7Ö1, tml ibnb nuastrm lm gcfurm. Ae imhm imscllarb, al eðnarb qua haoa asircocrsa as cfuml m lm sunm ha lbs hbs eðnarbs asirctbs ae lbs imscllarbs ibe qucae ibnpmrta ue lmhb. Yc hbs ha lbs eðnarbs ym kme schb asirctbs, ²quã eðnarb asircocrí ae al imscllarb ibe x2 M) 7
8
-7
O) ’7
I) ’=: x
H) =:
6.
Ae al scfucaeta frígcib, kmlla lm hcgaraeicm pbsctcvm ha lbs hbs eðnarbs qua haoae sar cetarimnocmhbs ha lufmr pmrm qua lm sunm ha imhm gclm gbrnmhm pbr tras eðnarbs sam lm ncsnm y lm naebr pbscola. M) ?
?
O) 1
=
7
9
;
1
I) 8 H) 7
6
8
Yan Ya nmem E ° 7
(Zr (Z r bkcochm kcochm su ra rap prbhui rbhuiicù icùe e y vaet etm m)
Zíf. Zíf. = =3 3
Ici Icillb ?:?:-C C
QENYN-IA EX_ B Z_A QEC WA _YC XM_ C B
;.
Qe iumhrmhb nífcib mhctcvb as tml q qua ua lm sunm ha lbs eðnarbs asirctbs ae imhm gclm, iblunem y hcmfbeml as lm ncsnm. Lms imscllms hal iumhrmhb nífcib nbstrmhb sa ibnplatme ibe eðnarbs aetarbs pbsctcvbs y lm sunm nífcim as 79. Yc m, o y i sbe eðnarbs cnpmras nðltcplbs ha 6, kmlla al nmybr vmlbr qua tbnm m + e + x. M) ;1
=1
m
O) 16 I) 71
o
e
H) 6;
i
x
Mrr c tnãtc im M EÐNA_BY Z_CNBY Ya hcia qua ue eðnarb emturml as prcnb b prcnb mosblutb iumehb mhncta taear ðecimnaeta ? hcvcsbras pbsctcvbs qua sbe lm uechmh y ãl ncsnb.
A`anplb0 =6 mhncta sblb ibnb hcvcsbras pbsctcvbs m = y =6. Bosarvmicbeas0 =)
Lm u uechmh echmh as al ðecib eðnarb qua eb as prcnb ec i ibnpuastb bnpuastb pbr taear ue sblb hcvcsbr.
?)
Lm uechmh as ue hcvcsbr scnpla. Ya llmnm eðnarb prcnb ae P m tbhb eðnarb aetarb qua pbsaa axmitmnaeta
9)
8 hcvcsbras. Yc p as ue eðnarb prcnb ae P, aetbeias ’p as ue eðnarb prcnb ae P.
EÐNA_BY IBNZQAYXBY Ya hcia qua ue eðnarb emturml as ibnpuastb iumehb mhncta taear nís ha hbs hcvcsbras pbsctcvbs. Lbs eðnarbs prcnbs naebras m =:: sbe ?, 9, 1, 6, ==, =9, =6, =3, ?9, ?3, 9=, 96, 8=, 89, 86, 19, 13, 7=, 76, 6=, 69, 63, ;9, ;3 y 36
Xabranm (Irctarcb ha Armtùstaeas) Yam e ℑ (e 5 =). Yc eb axcsta q prcnb.
A`anplb0 Yc
ℑ, = < q ≨
e
, qua hcvcha m e, aetbeias e as ue eðnarb
> =1,:7… Lbs eðnarbs prcnbs ≨ qua =1 sbe0 ?, 9, 1, 6, ==, =9 Ibnb ecefueb ha lbs eðnarbs0 ?, 9, 1, 6, ==, =9 hcvcha m ??6 ??6 as prcnb.
Yan Ya nmem E ° 7
??6 ?? 6
(Zr (Z r bkcochm kcochm su ra rap prbhui rbhuiicù icùe e y vaet etm m)
Zíf. Zíf. ? ?: :
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