diatnce - tangentes - bissectrice d'un angle (4ème)
4
jttp7//www.`btjs-vedhis.ci` 2 Destbfchs – Tbfmhfths – Oess hctrec hs E) Destbfch d― uf pief t î ufh drieth Dåaefeteif 7 If cifsedêrh ufh drieth d ht uf pieft B. Lb destbfch du pieft B î lb drieth d hst lb plus ciurth dhs destbfchs hftrh B h t uf pie ft dh lb drieth . Hllh sh `hsurh sur lb phrphfdeculberh î (d) pbssbft pbr B . Ece, hllh hst åmblh î BJ Hx 7 Dbfs lb setubteif pråcådhfth, lb destbfch dh B î J hst 3,5 c`. If phut difc derh quh lb destbfch du pie ft B î lb driet h ( d) hst dh 3,5 c` EE) Tbfmhfth î uf chrcl h Dåaefeteif 7 If cifsedêrh uf chrclh ( ) ht uf pieft B dh ch chrclh. Lb tbfmhfth bu chrclh ( ) hf B hst lb drieth bybft uf shul pieft ci``uf bvhc lh chrclh 7 lh pieft B. B J @ 2 @ ? @ 3 (d) J hst bpphlå lh pehd d h lb phrphfdeculberh î (d) pbssbft pbr B ! BJ < B@ 2 BJ < B@ ? BJ < B@ 3 Se B hs t s ur (d) , lb destbfch dh B î (d) hst fullh ! B J (d) BJ 0 > ((d) B I If phut busse derh quh lh chrclh hst tbfmhft î lb dri eth (d) (C )
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cours de mathématiques http://maths-videos.com - niveau collège - quatrième - 4ème -
Transcript of diatnce - tangentes - bissectrice d'un angle (4ème)
5/12/2018 diatnce - tangentes - bissectrice d'un angle (4ème) - slidepdf.com
http://slidepdf.com/reader/full/diatnce-tangentes-bissectrice-dun-angle-4eme 1/4
b||~7))uuu/mf|bt-qhlcit/dim 6
Lht|fodct — \foeco|ct — @httcd|phdctH( Lht|fodc l‘so ~iho| î soc lpih|c
Lèahoh|hio 7 Io diothlâpc soc lpih|c l c| so ~iho| F/ Kf lht|fodc ls ~iho| F î kf lpih|c lct| kf ~kst disp|c lct lht|fodct co|pc F c| so ~iho| lc kf lpih|c/Ckkc tc mctspc tsp kf ~cp~colhdskfhpc î "l( ~fttfo| ~fp F/ Hdh+ ckkc ct| èefkc î FB
Cr 7 Lfot kf th|sf|hio ~pèdèlco|c+ kf lht|fodc lc F î B ct| 4+8 dm/Io ~cs| liod lhpc vsc kf lht|fodc ls ~iho| F î kf lpih|c "l( ct| lc 4+8 dm
HH( \foeco|c î so dcpdkc
Lèahoh|hio 7 Io diothlâpc so dcpdkc "D ( c| so ~iho| F lc dc dcpdkc/ Kf |foeco|c fs
dcpdkc "D ( co F ct| kf lpih|c fxfo| so tcsk ~iho| dimmso fqcd kc dcpdkc 7 kc ~iho|
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"lB ct| f~~ckè kc ~hcl lc kf ~cp~colhdskfhpc î "l( ~fttfo| ~fp F &
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5/12/2018 diatnce - tangentes - bissectrice d'un angle (4ème) - slidepdf.com
http://slidepdf.com/reader/full/diatnce-tangentes-bissectrice-dun-angle-4eme 2/4
b||~7))uuu/mf|bt-qhlcit/dim 0
Cr 7
"l4( o‘ f fsdso ~iho| l‘ ho|cptcd|hio fqcd kc dcpdkc/
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"l0( f 0 ~iho|t l‘ ho|cptcd|hio fqcd kc dcpdkc/Ckkc o‘ct| ~ft |foeco|c î "D (
"l6( f so tcsk ~iho| l‘ ho|cptcd|hio fqcd kc dcpdkc/
Ckkc ct| |foeco|c î "D (
^pi~phè|è 7 Io diothlâpc so dcpdkc "D ( lc dco|pc I c| so ~iho| F lc dc dcpdkc/
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5/12/2018 diatnce - tangentes - bissectrice d'un angle (4ème) - slidepdf.com
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b||~7))uuu/mf|bt-qhlcit/dim 4
HHH( @httcd|phdc l‘so foekc c| lht|fodc
Lèahoh|hio 7 kf `httcd|phdc l‘so foekc ct| kf lcmh-lpih|c ~fp|fecfo| dc| foekc co lcsrfoekct flgfdco|t lc mçmc mctspc
ZI |( ct| kf `httcd|phdc lc k‘foekc rI x
^pi~phè|è 7 Th so ~iho| f~~fp|hco| î kf `httcd|phdc l‘so foekc+ fkipt hk ct| èvshlht|fo|
"î kf mçmc lht|fodc( lct dü|èt lc k‘foekc/
^pi~phè|è "pèdh~pivsc'' lc kf ~pèdèlco|c( 7 Th so ~iho| ct| èvshlht|fo| lct dü|èt l‘sofoekc+ fkipt hk f~~fp|hco| î kf `httcd|phdc lc dc| foekc/
M f~~fp|hco| î kf `httcd|phdc lc k‘foekc r> x liod MB = MJ
M ct| èvshlht|fo| lct dü|èt lc k‘foekc r> xliod M ct| tsp kf `httcd|phdc lc k‘foekc &
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Kct lcsr foekct io| kf mçmc mctspc &
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5/12/2018 diatnce - tangentes - bissectrice d'un angle (4ème) - slidepdf.com
http://slidepdf.com/reader/full/diatnce-tangentes-bissectrice-dun-angle-4eme 4/4
b||~7))uuu/mf|bt-qhlcit/dim <
HHH( Dcpdkc hotdph| lfot so |phfoekc
^pi~phè|è 7 Kct `httcd|phdct lct foekct l‘so |phfoekc tio| diodispfo|ct "tc dis~co|co so mçmc ~iho|(
^pi~phè|è 7 kc ~iho| lc diodispt "kc ~iho| l‘ho|cptcd|hio( lct `httcd|phdct ct| kcdco|pc ls dcpdkc hotdph| lfot kc |phfoekc
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Kc dcpdkc ct| |foeco| îdbfvsc dü|è ls |phfoekc & &
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ª Th so `à|hmco| f so dkidbcp fkipt dc `à|hmco| ct| soc
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Kf pèdh~pivsc ct| qpfhc/
ª Th so `à|hmco| ct| soc èekhtc fkipt dc `à|hmco| f so dkidbcp º/
Vsfol gc dimmcodc kf ~pi~ith|hio ~fp kf lcsrhâmc ~fp|hc+ ckkcpct|c qpfhc &
Vsc qcs| lhpc pèdh~pivsc 9
