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{SECT 0 {EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 8 "restart:" }
{MPLTEXT 1 202 0 "" }}}{EXCHG {PARA 201 "" 0 "" {TEXT 203 10 "EXERCICE
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:=5:b:=3:F:=(x,y)->x^2/a^2+y^2/b^2-1; " }{TEXT 205 2 "F:" }{MPLTEXT 1 
202 1 " " }{TEXT 206 31 "fonction d\351finissant la conique" }{TEXT 
207 1 " " }{MPLTEXT 1 202 0 "" }}{PARA 202 "" 1 "" {XPPMATH 20 "6#>I\"
FG6\"f*6$I\"xGF%I\"yGF%F%6$I)operatorGF%I&arrowGF%F%,(*&9$\"\"#I\"aGF%
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{PARA 203 "" 0 "" {TEXT 204 10 "la courbe " }{TEXT 209 9 "F(X,Y)=0 " }
{TEXT 204 19 "admet pour normale " }{TEXT 209 1 "n" }{TEXT 204 4 " en \+
" }{TEXT 209 6 "M(x,y)" }{TEXT 204 13 ", le vecteur " }{TEXT 209 13 "(
dF/dx,dF/dy)" }{TEXT 204 0 "" }}}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 
1 202 0 "" }}}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 30 "vec_normal
:=proc(F,M)        #" }{TEXT 205 2 "F:" }{MPLTEXT 1 202 1 " " }{TEXT 
206 31 "fonction d\351finissant la conique" }{TEXT 207 4 " et " }
{TEXT 205 2 "M:" }{TEXT 207 1 " " }{TEXT 206 32 "point o\371 l'on calc
ule la normale" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 17 "\nlocal u,n,n
orme;" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 36 "\nu:=[diff(F(x,y),x),d
iff(F(x,y),y)];" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 26 "\nn:=subs(x=
M[1],y=M[2],u);" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 31 "\nnorme:=sqr
t(n[1]^2+n[2]^2):  #" }{TEXT 207 11 "Calcule la " }{TEXT 205 18 "norme
 du vecteur n" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 31 "\nn:=[n[1]/nor
me,n[2]/norme]:  #" }{TEXT 205 9 "normalise" }{TEXT 207 12 " le vecteu
r " }{TEXT 205 1 "n" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 5 "\nend:" }
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