Modulo de Matematica AREAS de FIGURAS (1)

8/17/2019 Modulo de Matematica AREAS de FIGURAS (1)

1/19

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2/19

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3/19

‖G÷i m` fg Mjv`rsjhjogojÿb Srimuotjvg y m`f Hirtgfòjdj`bti m` fg@muogojÿb—

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Ei÷` \`rpg, Dijs`s Argbmi Dgfog _gdgbjèi, Orjsn

Sgmjb Hgrri, Ujffjgd

JJ.

MG]I_ M@F DIMPFI<

1.7

M@]@QDJBGBMI GQ@G_ M@ HJEPQG_

1.1 IAL@]JXI_< Wu` `f gfudbi s`g ogpgz m` jm`btjhjogr fgs hjeurgs qu` s`

`bou`btrgb `b su `btirbi. Ofgsjhjogr oirròtgd`bt` m` gou`rmi g su utjfjmgm ` jbt`rês. @f gfudbi s`g ogpgz m` ngffgr `f çr`g m` fgs prjbojpgf`s

hjeurgs pfgbgs.

1.?

MPQGOJIB< 1 _`dgbgs

1.= GQ@G OPQQJOPFGQ< Dgt`dçtjog

1.0 OIB]@BJMI_ @_S@OJHJOI_

DIMPFI M@ GSQ@BMJ\GL@


4/19

M@]@QDJBGBMIÇQ@G_ M@ HJEPQG_

Psi y gpfjogojÿbm` fgs çr`gs `b fg

Jdpirtgbojg m`ngffgr fgs çr`gs

Ngffgbmi fgs çr`gsm` fgs prjbojpgf`shjeurgs pfgbg

Sgr u`@stgmjiOgsg

]rjgbeufi

Ougmrgmi

Q`otçb ufi

Ojroufi

]rgp`oji

QidaiSgrgf`fiergdi


5/19

Wu` `f gfudbi s`g ogpgz m` jm`btjhjogr fgs hjeurgs qu` s``bou`btrgb `b su `btirbi.

Ofgsjhjogr oirr`otgd`bt` m` gou`rmi g su utjfjmgm ` jbt`rês.

@f gfudbi s`g ogpgz m` ngffgr `f çr`g m` fgs prjbojpgf`shjeurgs pfgbgs.

IAL@]JXI_


6/19

Ial`tjvis Sr`s`btgojÿbJ. Ngffgbmi `f çr`g m` fgs prjbojpgf`s hjeurgs pfgbgs

]rjgbeufi Ougmrgmi

Q`otçbeufi Qidai

Sgrgf`fiergdi

]rgp`oji

Ojroufi

JJ.

Psi y gpfjogojÿb m`fgs çr`gs `b fg r`gfjmgm Ogsg @stgmji Sgrqu`

JJJ.

Jdpirtgbojg m` fgs hjeurgs pfgbgs Guti`vgfugojÿb ajafjierghäg

OIB]@BJMI ]@DG]JOI


7/19

Bubog mjegs qu` `s

tgrm`. _j`dpr` ngy

bu`vgs

ipirtubjmgm`s pgrg

vifv`r g f`vgbtgrt`.

¡ @stumjg y

trjubhgrgs !


8/19

@b fg vjmg mjgrjg `boibtrgdis m` hirdg dgsjvg hjeurgs e`idêtrjogs pfgbgs, pir`l`dpfi, `f lgrmäb m` fg ogsg, `f ougrti `b mibm` mirdjdis, `f sgfÿb m` ofgs`s, `fougm`rbi m` gpubt`s, gsä `btr` duonis qu` s` v` g mjgrji. Sir `ffi fgjdpirtgbojg m` `fgairgr `st` dÿmufi, `f ougf, `sp`rgdis qu` t` gyum` gm`t`rdjbgr mjongs çr`gs pgrg qu` fi gpriv`on`s `hjogzd`bt`. Jm`btjhjogbmi `bprjd`r did`bti fis fgmis y gfturg m` ogmg hjeurg.

SQ@_@B]GOJßB


9/19

M`sm` sj`dpr` t` ngarçs mgmi ou`btg qu` fis ial`tis tj`b`b ubg hirdg ogsjm`hjbjmg sj aj`b `s ub trjçbeufi, ub oäroufi `btr` itris. _èuri gfeubg v`z ngsd`mjmi fis fgmis m` `stis ial`tis oidi gf trgtgr m` hirrgr su ougm`rbi oibpgp`f fustr`, tgdajêb sèuri qu` pgrg qu` luèu`s `f luèi dubmi ngs t`bjmiqu` d`mjr fis fgmis m` ogmg ougmrgmi m`f luèi, `to.

_èurgd` bt`, duonis m` fis ial`ti s oib hirdg m`hjbjm gs ngb sjmi `stgs<

M@]@QDJBGBMI ÇQ@G_ M@ HJEPQG_

Sj`bsg `b ial`tis, `b mibm` ngs vjstitrjçbeufis, ougmrgmis `btr` itris.


10/19

Màjmi g mjstjbtgs hjeurgs qu` bis pr`s`btgb fg vjmg y fg r`gfjmgm vgdis gm`t`rdjbgr sus çr`gs y sga`r ouçbti `spgoji ioupg oj`rtgs hjeurgs m` bu`stri`btirbi. @sti bis gyumgrg duoni `b t`b`r oibiojdj`btis m` fis fgmis m` fgshjeurgs y pim`r d`mjrfgs.

@f prjd`r pgsi `s oibio`r qu` hjeurgs eìdêtrjogs dçs sib oidub`s pgrgbisitris y ougf`s pr`s`btgb `b fg vjmg. ]`bj`bmi gsä fis sjeuj`bt`s hjeurgs<

]rjgbeufi< Hjeurg eìdêtrjog m` tr`s fgmis y tr`s çbeufis.

‖@f çr`g m`f trjçbeufi s` ngffg, duftjpfjogbmi fg ags` m`f trjçbeufi pir fg gfturg—

J. NGFFGBMI @F ÇQ@G M@ FG_ SQJBOJSGF@_ HJEPQG_SFGBG_

Ngffg `f çr`g m`f trjgb ufi

G4 4


11/19

Ougmrgmi


12/19

Sgrgf`fiergdi


13/19

X`gdis oÿdi `s qu` `f oçfoufim` fgs çr`gs m` fgs prjbojpgf`shjeurgs pfgbgs, oibtrjauy`b gmjh`r`bt`s gotjvjmgm`s qu` bisbisitris r`gfjzgdis mäg g mäg,

`stis sib ubis `l`dpfis<

]gf v`z

tj`b`s `bd`bt` ub lgrmäb. Bò`sjtgs sga`r ouçbtgsaifsgs m` gaibi bò`sjtgrçspgrg ouarjr `f lgrmäb. Djm` fgsfibejtum`s m` tu lgrmäb (fgreipir gboni) pgrg sga`r `f çr`g.

Mjegdis qu` tu lgrmäb djm`71,78 d`tris pir 8,3> d`tris.@si sjebjhjog qu` bò`sjtgsouarjr 1=? d`tris ougmrgmis m`çr`g oib fis h`rtjfjzgbt`s.

JJ. P_I Z GSFJOGOJßB M@ FG_ GQ@G_ @B FGQ@GFJMGM


14/19

Ptjfjzgdis `f oçfoufim` çr`gs pgrgm`t`rdjbgr fg

ogbtjmgm m` pgp`f m`s`mg qu` s` b`o`sjtgpgrg ngo`r ubgoid`tg hirdgmg pirmis pgfis m` 50 od y03 od m` fibejtum.

]gdajêb pim`dis ngffgr `fçr`g m`f orjstgf m` ubv`btgbgf oidi `f m` fghjeurg, qu` ngy `b fg pgr`mm` ubg ogt`mrgf. Sgrg `sti `s`vjm`bt` qu` t`bmr`dis qu`hrgoojibgr fg hjeurg.


15/19

_gaägs qu`… Fg m`bsjmgm m` piafgojÿb, m`bidjbgmg piafgojÿbr`fgtjvg (pgrg mjh`r`bojgrfg m` fg gasifutg, fgougf sjdpf`d`bt` `qujvgf` g ub büd`rim`t`rdjbgmi m` ngajtgbt`s `b ogmg t`rrjtirji),s` r`hj`r` gf büd`ri prid`mji m` ngajtgbt`s mùb pgäs, rèjÿb, çr`g uragbg i rurgf `b r`fgojÿb gubg ubjmgm m` sup`rhjoj` mgmg m`f t`rrjtirji

mibm` s` `bou`btrg `s` pgäs, rèjÿb i çr`g.@f Mjoojibgrji Qjimu`ri m` Eìerghäg fg m`hjbòidi `f büd`ri d`mji m` ngajtgbt`s m` ub pgäsqu` vjv`b siar` ubg ubjmgm m` sup`rhjoj` çr`g(kd1). @st` büd`ri bi r`hf`lg hj`fd`bt` fgr`gfjmgm, yg qu` m`btri m` ub djsdi t`rrjtirji`xjst`b birdgfd`bt` ergbm`s mjh`r`bojgs.

https://es.wikipedia.org/wiki/Poblaci%C3%B3nhttps://es.wikipedia.org/wiki/Poblaci%C3%B3n


16/19

@b `st` did`bti yg sga`dis oÿdi s` pu`m` ngffgr ub çr`g m` ougfquj`r pfgbi,p`ri m` sèuri t` prèubtgrgs mis oisgs ¹Mÿbm` bgojÿ i gpgròjÿ `stgt`dçtjog9 Z fg sèubmg prèubtg s`räg ¹Sir quê `s jdpirtgbt`9.

]` oibtgr` qu` `b fg gbtjeug sioj`mgm geräoifg, fg primuoojÿb m` gfjd`btispriviogag `f priaf`dg m` gfdgo`bgdj`bti m` siargbt`s, y fis ergbis màägboibs`rvgrs` ngstg fg sjeuj`bt` oisòng. @stg oibs`rvgojÿb `s hçojf, p`rioibff`vg fg bò`sjmgm m` ngajtçoufis pgrg gfdgo`bgrfis.

@b fg gbtjeug agajfibjg fgs dgt`dçtjogs `stgagb r`fgojibgmgs oib fis priaf`dgsr`gf`s. M` agajfibjg ngb qu`mgmi tgafjffgsqu` oibtj`b`b erupis m` priaf`dgsr`fgojibgmis oib `f oçfoufi m` çr`gs yvifüd`b`s oidi< `f büd`ri m` fgmrjffisbò`sgrjis pgrg fis duris m` ubg ojst`rbgojfäbmrjog, fg `stjdgojÿb m` oisòngs `bogdpis m` mjh`r`bt`s çr`gs.

Gnirg vgdis g ngffgr mjstjbtgs çr`gs m` tu `btirbi `muogtjvi ¹quê pripib`squ` ngff`dis9

@f çr`g m`f ajinu`rti Çr`g m`f sgfÿb m` ofgs`s Çr`g m`f pgtji Itris.

JJJ. JDSIQ]GBOJG M@ FG_ HJEPQG_SFGBG_

¹Mÿbm` bgojÿ9

SGSJQQI_ I ]GAFJFFG_


17/19

M`spuês m` ngffgr `stgs çr`gs ¹Ouçf `s fg jdpirtgbojg m` ngffgr fgsmjstjbtgs çr`gs9

7ri Q`pgrtjr @qujtgtjvgd`bt`

Oibsjst` `b d`mjr fg ogbtjmgm g r`pgrtjr y mjvjmjr `f r`suftgmi m` `sgd`mjmg `btr` `f büd`ri m` pgrt`s qu` s` m`s`g iat`b`r y d`mjr ogmgubg m` fgs pgrt`s.

1mi Oidpgrgr y Q`primuojr_j ubg sup`rhjoj` `stç oibt`bjmg `b itri, su oidpgrgojÿb `s jbd`mjgtg.]gdajêb pir trgbshirdgojib`s m` ridp`r y r`ngo`r.

?ri Djmj`bmiSgrg r`ouarjr `f pfgbi oib ub pifäeibi, fg sudg m` fis çbeufis m`oibhfuy`b `b ub vêrtjo` ng m` s`r ?83¼

Gnirg pgrg t`rdjbgr ¹Ouçf `s tu ipjbjÿb i pubti m` vjstg siar` `f t`dg9,¹]` jbt`r`si9 ¹Sir quê9


18/19

G A O M7. ¹]` eusti pim`r r`oibio`r fis tjpis m`

hjeurgs9

1. ¹]` hu`rib hçojf fgs hÿrdufgs m`gpr`bm`r9

?. ¹]` gyumi `f t`dg `b tu vjmg mjgrjg9

=. ¹@stçs s`euri qu` sifi oib `stgjbhirdgojÿb ̀ s suhjoj`bt`9

0.

¹Or``s qu` ngs gpr`bmjmi dgs m` fiqu` yg sgajgs9

G4 7>-13 A4 70-75 O4 77-7= M4 73-D`

GP]I@XGFPGOJßB

@_OGFGOQJ]@QJI


19/19

GQ@G_ Z S@QÄD@]QI_ < MOB

Pbg v`z qu` ngs s`btjmi

qu` ngs gpr`bmjmi dçs m`fi qu` yg sgajgs , bi

pj`bs`s qu` `sg `s timgfg jbhirdgojÿb oib

r`sp`oti g çr`gs , gübhgftg duoni, sjeu`

jbv`stjegbmi y `stumjgbmi

sifi gsä sgarçs qu` `stgsgpr`bmj`bmi dçs y dçs

qu` fi gbt`rjir.

AJAFJIEQGHJG

Modulo de Matematica AREAS de FIGURAS (1)

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