Calculamos Perímetros en Diversas Situaciones-14
September 21, 2022 | Author: Anonymous | Category: N/A
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AI@AT@IBKQ WD]ÂBD^]KQ DF NLZD]QIQ QL^TIALKFDQ (NLI 1 QDB. 9>) Auifnk qudrdbks adrair uf tdrrdfk akf i`hÿf tlpk nd bitdrli` tdfdbks qud simdr auéftk vibks i histir df nlack bitdrli`, pkr d``k ds lbpkrtiftd akfkadr `i bdnlni nd tknk d` akftkrfk nd` tdrrdfk5 ds uf dodbp`k nd `i vlni aktlnlifi nkfnd utl`lzibks pdrâbdtrks nd ufi jlhuri hdkbìtrlai. Df fudstri vlni nlirli dfakftribks sltuialkfds nkfnd ds fdadsirlk dbp`dir `is aipialninds y akfkalbldftks bitdbétlaks piri akfkadr `is bdnlnis nd aksis k dspialks, buacks nd dstks df `i rdi`lnin sd prdsdftif akbk jlhuris akbpudstis qud jéal`bdftd fk pudndf sdr bdnlnis, ds fdadsirlk ihrupir`is d lndftljlair i` lftdrlkr quì ktris jlhuris sd dfaudftrif, akbk ufi vdftifi akf jkrbi nd rdatéfhu`k y trléfhu`k, tdack nd ufi aisi, tdrrdfk ihrâak`i, pirqud akf jkrbi nd aârau`k y auinrink. »Yuì ktris sltuialkfds lfvk`uarif jkrbis hdkbìtrlais akbpudstis mlnlbdfslkfi`ds; W]KWKQL^K? Ip`lair akfkalbldftks df d` aé`au`k nd` pdrâbdtrk nd nlvdrsis jkrbis hdkbìtrlais mlnlbdfslkfi`ds, rd`ialkfifnk `is airiatdrâstlais bdnliftd nlmuoks, dbp`difnk dstritdhlis k prkadnlbldftks oustljlaifnk akf akfkalbldftks hdkbìtrlaks.
QL^TIALKF 9. ‐INK]FKQ DF JK]BIQ HDKBÌ^]LAIQ‒, Qkjâi y Okiquâf ndalndf prkpkfdr nlsdùks nd inkrfks piri `i aisi y tibmlìf piri rdhi`ir i sus jibl`lirds. @ks inkrfks ndmdf sdr jlhuris akf jkrbis hdkbìtrlais mlnlbdfslkfi`ds y d` bitdrli` qud ndmdf utl`lzir piri prkpkfdr `ks nlsdùks skf 97 pi`ltks nd bkfninldftds. Ql fk tldfds bkfninldftds, pudnds usir akbk i`tdrfitlvis pi`ltks nd jñsjkrks, clskpk, `éplads nd ak`kr k i`hÿf ktrk bitdrli` bi tdrli` slbl`ir, sk`k ndmds isdhurirtd nd qud aini pldzi sdi nd` blsbk `irhk. @i bdnlni nd aini bkfninldftds ds iprkxlbinibdftd nd 4 adftâbdtrks.
Qkjli y Okiquâf, iftds nd lflalir `i prkpudsti nd inkrfks utl`lzifnk 97 pi`ltks, prdsdftif arditlvibdftd `ks nlsdùks akf jkrbis hdkbìtrlais nd 1,4 y 3 `inks, akbk sd budstrif df `ks hréjlaks
]DQWKFND @IQ QLHTLDF^DQ W]DHTF^IQ
»Yuì fkbmrd rdalmd `i `kfhltun nd` akftkrfk nd `is jlhuris hdkbìtrlais nd `i prkpudsti;
•
……………………………………………………………………………………………………… …………………………………………………………………… …………………………………………………………………… ……………………………………………………………… …………………………… …………………………………………………………………… ……………………………… ……………………………………………………………………… …………………………………………………………………… ……………………………………………………………… …………………………… …………………………………………………………………… ……………………………… ……………………………………………………………………… …………………………………………………………………… ……………………………………………………………… …………………………… • »Aué` ds `i `kfhltun nd` pdrâbdtrk nd `is jlhuris jkrbinis akbk prkpudstis; …………………………………………………………………… ……………………………… ……………………………………………………………………… …………………………………………………………………… ……………………………………………………………… …………………………… …………………………………………………………………… ……………………………… ……………………………………………………………………… …………………………………………………………………… ……………………………………………………………… …………………………… ……………………………………………………………………………………………………… …………………………………………………………………… …………………………………………………………………… ……………………………………………………………… …………………………… …………………………………………………………………… ……………………………… ……………………………………………………………………… ………………………………………………………………………… ……………………………………………………………… ……………………… • »Aué` sdré d` érdi nd `is jlhuris jkrbinis akbk prkpudsti; …………………………………………………………………… ……………………………… ……………………………………………………………………… …………………………………………………………………… ……………………………………………………………… …………………………… …………………………………………………………………… ……………………………… ……………………………………………………………………… …………………………………………………………………… ……………………………………………………………… …………………………… …………………………………………………………………… ……………………………… ……………………………………………………………………… ………………………………………………………………………… ……………………………………………………………… ………………………
AKBW]DFNDBKQ D@ W]KM@DBI i. »Yuì lnd lndftljlais ftljlais df `i sltuialñf (prkm`dbi);
m. »Yuì plndf ci``ir `is prdhuftis nd `i sltuialñf;
a. »Yuì skf jkrbis hdkbìtrlais mlnlbdfslkfi`ds;
9. K]HIFL_I DF TFI ^IM@I ND NKM@D DF^]INI @IQ W]KWTDQ^IQ ND OKIYTLF \ QKJÂI, WK] FTBD]K ND @INKQ, JK]BIQ HDKBD^]LAIQ \ BDNLNIQ ND QTQ @INKQ. FßBD]K ND @INKQ
FKBM]D(JK]BI HDKBD^]LAI)
BDNLNI ND @KQ @INKQ (TFLNIN ND BDNLNI BKFNINLDF^DQ) QKJLI OKIYTLF
=. AI@AT@I @I @KFHL^TN ND @KQ AKF^K]FKQ A KF^K]FKQ ND @IQ JK]BIQ HDKBÌ^]LAIQ ND 1 @INKQ W]KWTDQ^IQ WK] QKJÂI \ OKIYTÂF. INDBÉQ, ]DQWKFND? i) »AÑBK QD @@IBI @IQ JLHT]IQ JLHT]IQ ND ^]DQ @INKQ; @INKQ; ---------------------------------------------------------------------------------------------------------(]daudrni qud `i bdnlni nd `ks bkfninldftds ds iprkxlbinibdftd 4 ab. ]di`lzi tu ndsirrk``k i `ks akstinks nd `is jlhuris)
1.
AI@AT@K @I @KFHL^TN ND @KQ AKF^K]FKQ ND @IQ JK]BIQ HDKBÌ^]LAIQ ND 4 @INKQ W]KWTDQ^IQ WK] QKJÂI \ OKIYTÂF. INDBÉQ, ]DQWKFNK? »AÑBK QD @@IBIF @IQ JLHT]IQ HDKBÌ^]LAIQ ND 4 @INKQ;
H DKBÌ^]LAIQ ND 3 @INKQ >. AI@AT@K @I @KFHL^TN ND @KQ AKF^K]FKQ ND @IQ JK]BIQ HDKBÌ^]LAIQ W]KWTDQ^IQ WK] QKJÂI \ OKIYTÂF. INDBÉQ, ]DQWKFNK »AÑBK QD @@IBIF @IQ JLHT]IQ ND KACK @INKQ;
4.
K]HIFL_I @IQ W]KWTDQ^IQ ND QKJÂI \ OKIYTÂF, \ ]DQWKFND @I QDHTFNI W]DHTF^I? i) »ATÉ@ DQ D@ WD]ÂBD^]K ND @IQ JLHT]IQ JK]BINIQ AKBK W]KWTDQ^IQ; K]HIFL_I ^TQ NI^KQ DF @I QLHTLDF^D ^IM@I
FßBD]K ND @INKQ
FKBM]D (JK]BI HDKBD^]LAI)
BDNLNI ND @KQ @INKQ (TFLNIN ND BDNLNI BKFNINLDF^DQ) QKJÂI OKIYTÂF
@KFHL^TN ND@ AKF^K]FK (TFLNIN ND BDNLNI ab) QKJÂI OKIYTÂF
:. QL QKJÂI \ OKIYTÂF AKBW]IF BKFNINLDF^DQ T^L@L_IFNK BKFDNIQ ND QK@, DQ^IQ BKFDNIQ, »^DFN]ÉF WD]ÂBD^]K; ND QD] IJL]BI^LZI @I ]DQWTDQ^I, »AÑBK QD WTDND AI@AT@I];
@i `kfhltun nd `i alraufjdrdfali (@) Ds lhui` i` prknuatk nd = pkr pl ( ), pkr `i bdnlni nd` rinlk? 2 . . 2 ..
nkfnd? r? rinlk n? nlébdtrk
2 1.9> (^rimioirdbks akf dstd vi`kr nd pl)
Érdi nd` alrau`k? ds lhui` i pl pkr rinlk i` auinrink ⊔ 2 .
8. AI@AT@K @I @KFHL^TN \ D@ I]DI ND @I AL]ATFJD]DFALI ND TFI BKFDNI ND TF QK@.
3. ATI@ QD]É @I @KFHL^TN ND TF ^IWQ AT\K ]INLK DQ 9=.84 bb
QL^TIALKF =. @I LBIHDF BTDQ^]I TFI ZLQ^I ND @I AIQI ND OKIYTÂF. QL Ì@ NDQDI AK@KAI] _ÑAI@KQ DF QT AIQI, »ATÉF^KQ BD^]KQ ND _ÑAI@K NDMD]É AKBW]I]; ( _ñai`k, ds `i jioi nd `i pirtd lfjdrlkr nd `is pirdnds.)
AI@AT@IFNK WD]ÂBD^]KQ (NLI > QDB) QL^TIALKF 9.
‐D` tdrrdfk nd Dstdmif ‒
@i jibl`li nd Dstdmif ci akbprink uf tdrrdfk df d` aibpk piri sdbmrâks (nd `i jkrbi bkstrini). 9 7 b
17 b = 7 b
4b =7 b @i jlhuri budstri ufi vlsti iìrdi nd `i supdrjlald inqulrlni y `is bdnlalkfds qud sd claldrkf. Dstdmif ndsdi adrair d` tdrrdfk akf bi``i nd i`ibmrd, ndoifnk `lmrd d` dspialk piri `i dftrini (4 b). I pirtlr nd `i sltuialñf, rdspkfnd `is slhuldftds prdhuftis (pudnds rdspkfndr rdspkfndr nd bifdri dsarlti u kri`, hrimifnk uf iunlk). • »Auéftks bdtrks `lfdi`ds nd bi``i sd fdadsltirâif piri adrair d` tdrrdfk; ………………………………………………………………………………………………………………… ………………………………………………………………………………………………………………… ………………………………………………………………………………………………………………… ………………………………………………………………………………………………………………… • »Auéftks rk``ks nd bi``i sd fdadsltiréf y auéftk ndmd pihir, sl aini rk``k tldfd =7 bdtrks `lfdi`ds nd bi``i y audsti Q/177; ………………………………………………………………………………………………………………… ………………………………………………………………………………………………………………… ………………………………………………………………………………………………………………… ………………………………………………………………………………………………………………… ………………………………………………………………………………………………………………… ………………………………………………………………………………………………………………… ………………………………………………………………………………………………………………… ………………………………………………………………………………………………………………… ………………………………………………………………………………………………………………… ………………………………………………………………………………………………………………… …………………………………………………………………………………………………………………
Qì arditlvi/k y krhiflzi `k prknuatks utl`lzifnk d` bitdrli` qud tdfhis i tu i`aifad. !Fk td k`vlnds nd huirnir tus iatlvlninds df d` pkrtijk`lk y dfvlir akbk dvlndfali
]DQWKFND @IQ W]DHTF^IQ BI]AIFNK TFI K ZI]LIQ ZDADQ DF @I ^IM ]DQWKFND ^IM@I @I QL DQ ZD]NIND] ZD]NIND] ( Z) k ji` ji`sk sk (J) »Yuì nitk fks prkpkralkfi `i sltuialñf;
»Yuì jkrbis hdkbìtrlais jkrbif d` tdrrdfk;
@i jkrbi nd tdrrdfk ds ufi jlhuri akbpudsti
Tf auinrink y uf rdatéfhu`k.
@kfhltun nd i`hufks `inks nd` tdrrdfk akbk a kbk 97
Nks rdatéfhu`ks nd nljdrdftds nlbdfslkfds.
b, 17 b, =7 b y =7 b. Ifack nd `i dftrini ds 4 bdtrks.
Tf auinrink y nks rdatéfhu`ks
Fk sd akfkad `i `kfhltun nd nks `inks nd` tdrrdfk.
Nks auinrinks
Wrdalk pkr bdtrk `lfdi` nd `i bi``i.
»Yuì fks plndf ai`au`ir;
Akftkrfk nd `i dftrini.
Auéftks bdtrks `lfdi`ds nd bi``i sd fdadsltif piri adrair d` tdrrdfk. Auéftks rk``ks sd vif i akbprir. Auéftk ds d` histk qud sd rdi`lzirâi pkr `i akbpri nd `i bi``i. Auéftk ds d` akstk nd` tdrrdfk.
QL^TIALK =. @I ZDF^IFI ND @I AIQI ND DQ^DMI DQ^DMI F
@i slhuldftd lbihdf rdprdsdfti ufi vdftifi nd `i aisi nd `i jibl`li nd Dstdmif. Dsté akbpudsti pkr uf auinrink auyk `ink aklfalnd akf d` nlébdtrk nd` aârau`k. Fks plndf ai`au`ir d` pdrâbdtrk nd `i jlhuri j lhuri jkrbini. »Añbk ai`au`ibks d` pdrâbdtrk nd `i vdftifi;
@2=
∜
r (@kfhltun nd `i alraufjdrdfali (@) )
nkfnd? r? rinlk
2
@
2
1,9> (vi`kr nd pl) = r =
(@kfhltun nd `i sdblalraufjdrdfali)
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