8/2/2019 Ficha de avaliao - figuras no plano - correo

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L fbn kumdb m rmvwbdem fbrrmuknmdum, kwrmvmdukdeb ubebv bv flf}lbv m`mu}kebv m j}vui`ifkdeb kv rmvwbvukv$

;$B vlieb rmwrmvmdukeb dk `ih}rk `kz lmnorkr }nk oblk em `}umobl$

;$;$ Kvvidklk, fbn S, b dbnm ebv wblhbdbv ekv `kfmv emvum vlieb {}m mvub pivpmiv dk `ih}rk$

[}kerilumrbv m cmshbdbv Wmduhbdbv m uridh}lbv

Cmshbdbv m wmduhbdbv Uridh}lbv

Id, Wrbpk em K`mrib em ?773

;$?$ Fbdviemrk {}kl{}mr }nk ekv `kfmv nkiv mvf}rkv eb vlieb rmwrmvmdukeb$ Mvuk b wblhbdb ek okvm em }nk

wirniem$ Emdbnidk.k$ Wirniem wmdukhbdkl

;$6$ K wirniem {}m ideifkvum dk {}mvub kdumribr }n wblimerb$ J}vui`ifk k k`irnkb$ }n vlieb hmbnurifb liniukeb

wbr v}wmr`fimv wlkdkv$

;$5$ _mlkuipknmdum wirniem mn mvu}eb, rm`mrm b dnmrb em `kfmv lkumrkiv, `kfmv, okvmv, krmvukv m pruifmv$

@l> =, @> 0 , o> ;, K> ;7, P>0

;$=$ _mwrmvmduk }nk wlkdi`ifkb ek wirniem {}m dbnmkvum mn ;$?$

?$Vkom.vm {}m }n wrivnk umn 8 `kfmv$ [}kdukv krmvukv umn mvum wrivnk2 Mswlifk b um} rkfibfdib$

Vm b wrivnk umn 8 `kfmv, vb = kv `kfmv lkumrkiv$ Fbnb ukl, b wblhbdb ek okvm umr = lkebv #wmduhbdb)$ Vkomnbv {}m

dbv wrivnkv, b d em krmvukv b uriwlb eb d em lkebv ek okvm$ Mdub, db dbvvb fkvb, 6s=>;= krmvukv$

6. Kvvidklk fbn S b dh}lb {}m umn em knwliu}em nkiv em 97 m nmdbv em ;?7$ O

Id, Wrbpk em K`mrib em ?770

5$ Bovmrpk k `ih}rk$

5$;$ Kv rmukv KO m FE vb mvuriuknmdum wkrklmlkv$

Fbnmduk k k`irnkb$ K k`irnkb pmrekemirk ekeb mvukv rmukv

d}dfk vm mdfbdurkrmn db wlkdb m ubebv bv vm}v wbdubv mvukrmn

nmvnk eivudfik$

5$?$]uilizkdeb dbukb kem{}kek, ideifk:

k) e}kv rmukv fbdfbrrmdumv bol{}kv1 B@ m NE

Nkumnuifk= Kdb

emzmnorb ?7;;

W_BWBVUK EM FB__MB EK @IFCK EMKPKLIKB@IH]_KV DB WLKDB

Dbnm: Hr}wb ?67wrb`$ Wk}lb Pkvfb Wmrmirk

S

8/2/2019 Ficha de avaliao - figuras no plano - correo

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?

o)}n dh}lb rmub1 ;;8

=$?$

k m o vb 97

o> 97.=6

o> 68

0$ Dk rmvbl}b emvum msmrffib }uilizk b urkdv`mriebr, k rh}k m b fbnwkvvb$

B Krnideb fbdvur}i} b uridh}lbKOFdk k}lk em Nkumnuifk$

0$;$[}kl k nmeiek ek knwliu}em eb dh}lb OKF2 ;77

0$?$Fbdvuri b dh}lb SYZ fbdhr}mdum #k nmvnk knwliu}em) fbn b dh}lb FOK$

3 ! 3 ! l b} vmjk,

8/2/2019 Ficha de avaliao - figuras no plano - correo

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?? > 3 ! 3 ! l

l > ?? ;0

l > 0 fn

_mvwbvuk: ]nk ekv ciwumvmv wkvvk wbr fbdvur}ir }n uridh}lb fbn k ufdifk mvu}ekek dkv k}lkv, f}jkv nmeiekv

ebv lkebv vb: l;> 3 fn, l?> 3fn m l6> 0fn$

o)

Vmdeb b wmrnmurb em ??fn m k nmeiek em }n ebv lkebv em 3fn, k nmeiek ebv rmvukdumv ebiv lkebv em:

?? 3> ;5fn

;5 : ? > 8 fn

_mvwbvuk: b}urk ciwumvm vmrik fbdvur}ir }n uridh}lb fbn kv vmh}idumv nmeiekv: l;>3 fn, l?> 8fn m l6> 8fn #

l?>l6 wbr{}m b uridh}lb ivvfmlmv)$

3$ ]n wblhbdb rmh}lkr vm uipmr ubebv bv lkebv m ubebv bv dh}lbv hmbnmurifknmdum ih}kiv$

Kvvidklk, fbn S, b wblhbdb {}m rmh}lkr$ O

Id, Wrbpk em K`mrib em ?773

9$ B _k}l jkreidmirb$ Wkrk mnomlmzkr }n jkrein, emfiei} fbdvur}ir }n fkdumirb em `lbrmv fbn k `brnk em }n wmduhbdb

rmh}lkr fbn ;,= nmurbv em lkeb$ [}kl b wmrnmurb emvvm fkdumirb2 Mswlifk b um} rkfibfdib$

]n wmduhbdb rmh}lkr }n wblhbdb fbn = lkebv m = dh}lbv idumrdbv ubebv ih}kiv$

B wmrnmurb em }nk `ih}rk wlkdk k nmeiek ek `rbdumirk emvvk nmvnk `ih}rk$ Mdub, dmvum fkvb,

W> ;,= ! ;,= ! ;,= ! ;,= ! ;,= b} =s ;,=

W> 8,=n

_: B wmrnmurb eb fkdumirb em 8,= n$

;7$ B vmhnmdub em rmuk emvmdckeb }n ebv lkebv em }n uridh}lb m{}ilumrb$

Fbnwlmuk k v}k fbdvur}b, }uilizkdeb b fbnwkvvb m k rh}k$

Vm b uridh}lb m{}ilumrb kv nmeiekv ebv vm}v lkebv vb ih}kiv$ Mdub, rmfbrrmdeb kb vmhnmdub em rmuk rmwrmvmdukeb m

fbn b fbnwkvvb, }uilizkdeb k ufdifk kwrmdeiek dkv k}lkv, urkkv b uridh}lb wmeieb$

Id, Wrbpk em K`mrib em ?776

;;$ _mvblpm}nk ekv {}mvumv u}k mvfblck:

k) Fbdvuri }n uridh}lb CIJ fbn kv vmh}idumv nmeiekv: CI > IJ > 0 fn m < CIJ> ;77

o) Fbdvuri b uridh}lb HCI fbn kv vmh}idumv nmeiekv: 37, ==m HC > 5,= fn$

Mvum msmrffib rmvblpm.vm rmfbrrmdeb v ufdifkv kwrmdeiekv dk k}lk$

8/2/2019 Ficha de avaliao - figuras no plano - correo

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;?$ K Nkrik emvmdcb} }n uridh}lb kf}udh}lb$ [}kl ekv bwmv vmh}idumv fbdun kv knwliu}emv ebv dh}lbv eb

uridh}lb {}m k Nkrik emvmdcb}2

Vm b uridh}lb kf}udh}lb ubebv bv dh}lbv idumrdbv vb kh}ebv #nmeiek fbnwrmmdeik mdurm 7 m 97) m k vbnk ebv

nmvnbv em ;37$

67, 97, 07$

67, 9=, ==

6=, 3=, 07 #rmwkrk {}m ubebv bv vm}v