excelencia geo 2012 02 angulometria
TRANSCRIPT
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LVBLKLEBGI4194
QTJNLRJT?Ltgbc ^ry|lz Kkiejr IRGHEI]\TI? NLBFI? 9= 18 4194
E 14- IEH\KJ@L]TGI TLB]IR QITIKLKIR BJT]IMIR QJT \EI RLBIE]L EH\KJR LE \E ]TGEH\KJ
19% EH\KJ? Lr ki tl|ege ml mjr tiwjr y|l }glele |eq|e}j lv}tl`j bj`e+ lr mlbgt }glele lk `gr`jjtghle%Kjr mjr tiwjr rje kjr kimjr mlk eh|kj w lk q|e}jlv}tl`j bj`e rl kki`i ^T]GBL mlk eh|kj%
I
DJ
9%9% Lkl`le}jr mlk eh|kj%
9% Kimjr? JI w JD
4% ^t}gbl? J
2% Rg`djkjhi? IJD+ IJD3 IJD
=% Ej}ibge? IJD 0 JI JD
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m' eh|kj Tlb}j? Lr iy|lk eh|kj b|wi `lmgmi lrgh|ik i 71
l' eh|kj E|kj j Qlthjej? Lr iy|lk eh|kj b|wi`lmgmi rl bjergmlti gh|ik i 1%
I
DJ
0 1IJD`
=%4% RLHE KI QJRGBGE ML R\R KIMJR
i' eh|kjr imwible}lr?Rl mgbl y|l mjr eh|kjr rje imwible}lr b|iemj }glelelk `gr`j ~t}gbl w |e kimj bj`e }ik y|l kjr kimjr rlleb|le}tle i j}tj w j}tj kimj mlk kimj bj`e%
DJ
kimj bj`e
I
B
d' eh|kjr bjerlb|}g~jr?
Rl mlej`geie ir mjr j `r eh|kjr y|l rjeimwible}lr bje r|r ge`lmgi}j%
b' eh|kjr jq|lr}jr qjt lk ~t}gbl?
Rje mjr eh|kjr ml}lt`geimjr ik }tizit mjr tlb}irrlbie}lr%
m' eh|kjr imwible}lr bj`qkl`le}itgjr?Rl mgbl y|l mjr eh|kjr rje imwible}lrbj`qkl`le}itgjr+ b|iemj }glele lk `gr`j ~t}gbl wb|wjr kimjr }glele lk `gr`j ~t}gbl w b|wjr kimjr ejbj`|elr njt`ie |e eh|kj tlb}j%
l' eh|kjr imwible}lr r|qkl`le}itgjr?Rl mgbl y|l mjr eh|kjr rje imwible}lrr|qkl`le}itgjr+ b|iemj }glele lk `gr`j ~t}gbl wb|wjr kimjr }glele lk `gr`j ~t}gbl w b|wjr kimjr ejbj`|elr njt`ie |e eh|kj tlb}j%
n' eh|kjr le}tl Tlb}ir Qitiklkir
Rlie kir tlb}ir ` w e tlb}ir qitiklkir bjt}imir qjt |ei
tlb}i rlbie}l + k|lhj }lel`jr?
`
e
9 4
2=
> = 6 2 8
9%2% eh|kjr Bjeo|himjr j Bjki}ltiklr
eh|kjr Bjeo|himjr Ge}ltgjtlr?
`= `< 961 `2 `< 961
# 0
# 0
9%=% eh|kjr Bjeo|himjr Lv}ltejr?
`9 `6 961 `4 `8 961
# 0
# 0
JDRLT^IBGE?
i' B&B&B&B&B B& ''''' 0 + rg e lrqit0 B&' + rg e lr g qit
d' R&R&R&R&R R& ''''' 0 + rg e lrqit0 R&' + rg e lr g qit
Qtb}gbi ml bkirl
9% Rg i |e eh|kj rl kl tlr}i r| bj`qkl`le}j+ tlr|k}i
gh|ik i ki b|it}i qit}l ml r|r r|qkl`le}j% Fikkit ki
`lmgmi mlk eh|kj%
i' 92
8% Bjergmltiemj y|l lk IJD `gml 9 l' =1
6% Rl }glele kjr eh|kjr bjerlb|}g~jr+ IJD+ DJB w
BJM ml `jmj y|l?
`IJD # `DJB 0 961
`DJB # `BJM 0 71
Bikb|kit ki `lmgmi mlk eh|kj y|l njt`ie kir
dgrlb}tgblr ml kjr eh|kjr IJD w BJM
i' 71 d' 91< b' 941
m' 911 l' 92
99% Rl }glele kjr eh|kjr bjerlb|}g~jr IJD+ DJB w BJM
ml `jmj y|l?
&`IJD'&`DJM' # &`IJB'
&`BJM' 0 &`IJM'&`DJB' w
&`IJD'&`BJM' 0 c
Bikb|kl ki `DJB
i' c4 d' c4 b' c2
m' c2 l' c
94% Mlk htngbj+ fikkit lk `iwjt ~ikjt le}ltj qit ml w
i' 61 d' 64 b' 6=
m' 61 d' 9>4 b' 9>2m' 9>= l' 9>
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96% Le ki rgh|gle}l ngh|ti kir tlb}ir ej qitiklkir? K9 w
K4 njt`ie |e eh|kj y|l `gml 2% Fikkit lk `iwjt
~ikjt ml
i' 9< d' 44 21 b' 969>1 d' 1
m' 9
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8% Ki r|`i mlk r|qkl`le}j w lk bj`qkl`le}j ml ki
`lmgmi ml |e `gr`j eh|kj+ lr gh|ik i e ~lblr lk
r|qkl`le}j ml ki `lmgmi ml mgj eh|kj% Bikb|kit r|
`lmgmi%
i'
& '#
71 e 9
e 9 d'
& '
=< 4e 9
e 2
b' & '
7 1 4e 2
e 4m' & '
#
>1 e 4
e 9
l'#
71e
e 9
6% Rl }glele kjr eh|kjr bjerlb|}g~jr IJD+ DJB w BJM
}ik y|l 0` IJM 71 w # 0` IJB ` DJM 941
m'
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9>% Rg ` ** e w lk eh|kj LYQ lr ih|mj% Bikb|kit lk
`lejt ~ikjt le}ltj ml v
i'
m' == l' =2
98% Ml ki ngh|ti+ bikb|kit v% Rg # 0 411 w
9 4 2K * * K * *K
i' 91 d' 96 b' 41
m' =1 l' l' 96
97% Rg
9 4K * * K % Bikb|kit lk `vg`j ~ikjt ml v
i' =4 d' =2 b' ==
m' => l' =8
41% Ridglemj y|l? %
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EH\KJR LE LK ]TGEH\KJ
9%9%eh|kj njt`imj qjt mjr dgrlb}tgblr ge}ltgjtlr
9%4% eh|kj njt`imj qjt |ei dgrlb}tgz ge}ltgjt w|ei dgrlb}tgz lv}ltgjt%
9%2% eh|kj njt`imj qjt mjr dgrlb}tgblr lv}ltgjtlr
9=% Qtjqglmim mlk b|imtgk}ltj Bebi~j%
Le }jmj b|imtgk}ltj bebi~j rl b|`qkl kjrgh|gle}l?
9%% Rg IM w BM rje dgrlb}tgblr ml kjr ;r I wB le}jeblr?
9% 8% ]ljtl`iLe }jmj ki dgrlb}tgz lv}ltgjt ml |e ; w kiqtjkjehibge mlk kimj jq|lr}j njt`ie |e eh|kjb|wi `lmgmi lr?
9% 6% ]ljtl`iRg? DB w MB rje dgrlb}tgblr+ le}jeblr?
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QTIB]GBI ML BKIRL
19% Rl }glel lk }tgeh|kj IDB+ k|lhj rl }tizi ki ik}|ti
DF% Le lk }tgeh|kj DFB rl }tizi ki dgrlb}tgz
ge}ltgjt DT % Bikb|kit FT+ rg ID 0 91 w IF 0 8%
i' 4 d' 4+< b' 2m' 2+< l' =
14% Le |e }tgeh|kj IDB rl ridl y|l? `D 0 >1 w
`B0 94% Fikkit ki `lmgmi mlk eh|kj y|l njt`ie
le}tl r kir ik}|tir }tizimir ml kjr ~t}gblr D w B%
i' =1 d' 61 b' 84
m' l' >4
12% Le |e }tgeh|kj IDB rl ridl y|l `I - `B 0
2>% Bikb|kl lk eh|kj njt`imj qjt ki dgrlb}tgz ge}ltgjtmlk eh|kj IDB w ki `lmgi}tgz mlk kimj IB
i' 7 d' 94 b' 96
m' 4= l' 2>
1=% Le |e }tgeh|kj IDB? `D 0 61+ ki `lmgi}tgz ml kiik}|ti DF bjt}i i DB le N% Lebje}tit `DIB+ rg`DNF 0 61%i' =1 d' % Bikb|kit v rg IM lr dgrlb}tgz mlk eh|kj DIB+
iml`r MB 0 BL
i' 21 d' 2> b' =1
m' == d' =6 b' 24
m' 81 l' >1
16% Le ki ngh|ti% Fikkit wv # ?
>7
v
w
i' 4=7 d' 4
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99% Le ki ngh|ti+ fikkit v%
i' 9
m' 9== l' 9=6
9=% Le ki ngh|ti rgh|gle}l+ fikkl v
i' =1 d' =1 l' 81
9
1=% Le lk }tgeh|kj IDB grrblklr lk eh|kj mlrgh|ik D
`gml =>% Rl }tizi ki ik}|ti IF % Fikkit ki `FIB%i' 41 d' 42 b' 4=
m' 21 l' 2>
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1>% Bikb|kit v rg 0 911BDI
i' 21 d' =1 b' =1
18% Le ki ngh|ti+ fikit v
i' 941 d' 9== b' 92>
m' 9>= l' 9=6
16% Le ki ngh|ti+ bikb|kit v
i'