// fltk 7Fl_Tile 26 -300 1067 31 20 [ // fltk N4xcas23Comment_Multiline_InputE 26 -300 1067 30 20 On fait tout d'abord la figure (valider le niveau 2) : , // fltk N4xcas10Log_OutputE 26 -270 1067 1 20 ] , // fltk 7Fl_Tile 26 -267 1067 427 20 [ // fltk N4xcas19Multiline_Input_tabE 26 -267 1067 73 20 A:=point(5,0,'affichage'=0);B:=point(10,0,'affichage'=0);C:=point(-4,-8,'affichage'=0):;D:=point(4,8,'affichage'=0):;£d:=droite(C,D,'affichage'=0);M:=point(C+0.8*(D-C));d1:=perpendiculaire(A,B,M):;d2:=perpendiculaire(M,A,B):;£H:=inter_unique(d1,d2);triangle(A,B,M);affichage([d1,d2],bleu);segment(-1,A,affichage=dashdot_line); , // fltk N4xcas10Log_OutputE 26 -194 1067 1 20 , // fltk 7Fl_Tile 26 -193 1067 353 20 [ // fltk N4xcas7Graph2dE 26 -193 941 353 20 -18.77,27.77,-8.5723,9.2556,[pnt(pnt[5,0,"A"]),pnt(pnt[10,0,"B"]),"Done","Done",pnt(pnt[line[-4-8*i,4+8*i],0,"d"]),pnt(pnt[2.4+4.8*i,0,"M"]),"Done","Done",pnt(pnt[2.4-4.11666666667*i,0,"H"]),pnt(pnt[group[5,10,2.4+4.8*i,5],0]),[pnt(pnt[line[5,0.2-7.6*i],bleu]),pnt(pnt[line[2.4+4.8*i,2.4+9.8*i],bleu])],pnt(pnt[group[-1,5],12582912])],-9.997,9.997,1,0,0,0,1,1,0,0,1,5,0 , // fltk 7Fl_Tile 967 -193 126 353 20 [ // fltk N4xcas14Mouse_PositionE 967 -193 126 28 20 [] , // fltk 8Fl_Group 967 -165 126 85 20 [ // fltk 9Fl_Button 967 -165 42 17 20 [] , // fltk 9Fl_Button 1009 -165 42 17 20 [] , // fltk 9Fl_Button 1051 -165 42 17 20 [] , // fltk 9Fl_Button 967 -148 42 17 20 [] , // fltk 9Fl_Button 1009 -148 42 17 20 [] , // fltk 9Fl_Button 1051 -148 42 17 20 [] , // fltk 9Fl_Button 967 -131 42 17 20 [] , // fltk 9Fl_Button 1009 -131 42 17 20 [] , // fltk 9Fl_Button 1051 -131 42 17 20 [] , // fltk 9Fl_Button 967 -114 42 17 20 [] , // fltk 9Fl_Button 1009 -114 42 17 20 [] , // fltk 9Fl_Button 1051 -114 42 17 20 [] , // fltk 9Fl_Button 967 -97 42 17 20 [] , // fltk 11Fl_Menu_Bar 1009 -97 84 17 20 [] ] , // fltk 8Fl_Group 967 -80 126 240 20 [ ] ] ] ] , // fltk 7Fl_Tile 26 162 1067 94 20 [ // fltk N4xcas23Comment_Multiline_InputE 26 162 1067 93 20 On définit 4 points A,B,C,D, et la droite d=droite(C,D) à coordonnées exactes, le point M est défini comme :£vecteur(CM)=t*vecteur(CD ) avec t formel défini par assume(t:=[-1.2,-5.0,5.0]). On peut faire varier t.£On obtient les coordonnées de H en fonction de t et ainsi le lieu de H est : plotparam(affixe(H),t).£Le lieu est une hyperbole (en rouge) et on voit en vert les asymptotes du lieu. (valider le niveau 4.1) , // fltk N4xcas10Log_OutputE 26 255 1067 1 20 ] , // fltk 7Fl_Tile 26 258 1067 394 20 [ // fltk N4xcas6FigureE 26 258 1067 393 20 // fltk N4xcas12History_PackE 28 -313 440 959 20 [ // fltk 7Fl_Tile 50 -313 418 63 20 [ // fltk N4xcas19Multiline_Input_tabE 50 -313 418 30 20 A:=point(5,0,'affichage'=0) , // fltk N4xcas10Log_OutputE 50 -283 418 1 20 , // fltk N4xcas10Gen_OutputE 50 -282 418 32 20 point(5,0) ] , // fltk 7Fl_Tile 50 -248 418 63 20 [ // fltk N4xcas19Multiline_Input_tabE 50 -248 418 30 20 B:=point(10,0,'affichage'=0) , // fltk N4xcas10Log_OutputE 50 -218 418 1 20 , // fltk N4xcas10Gen_OutputE 50 -217 418 32 20 point(10,0) ] , // fltk 7Fl_Tile 50 -183 418 63 20 [ // fltk N4xcas19Multiline_Input_tabE 50 -183 418 30 20 C:=point(-4,-8,'affichage'=0):; , // fltk N4xcas10Log_OutputE 50 -153 418 1 20 , // fltk N4xcas10Gen_OutputE 50 -152 418 32 20 "Done" ] , // fltk 7Fl_Tile 50 -118 418 63 20 [ // fltk N4xcas19Multiline_Input_tabE 50 -118 418 30 20 D:=point(4,8,'affichage'=0):; , // fltk N4xcas10Log_OutputE 50 -88 418 1 20 , // fltk N4xcas10Gen_OutputE 50 -87 418 32 20 "Done" ] , // fltk 7Fl_Tile 50 -53 418 63 20 [ // fltk N4xcas19Multiline_Input_tabE 50 -53 418 30 20 d:=droite(C,D,'affichage'=0,affichage=hidden_name) , // fltk N4xcas10Log_OutputE 50 -23 418 1 20 , // fltk N4xcas10Gen_OutputE 50 -22 418 32 20 polygone(point(-4,-8),point(4,8)) ] , // fltk 7Fl_Tile 50 12 418 63 20 [ // fltk N4xcas19Multiline_Input_tabE 50 12 418 30 20 assume(t:=[-0.8,-5.0,5.0]) , // fltk N4xcas10Log_OutputE 50 42 418 1 20 , // fltk N4xcas10Gen_OutputE 50 43 418 32 20 parameter(t,-5.0,5.0,-0.8) ] , // fltk 7Fl_Tile 50 77 418 63 20 [ // fltk N4xcas19Multiline_Input_tabE 50 77 418 30 20 M:=point(C+t*(D-C)) , // fltk N4xcas10Log_OutputE 50 107 418 1 20 , // fltk N4xcas10Gen_OutputE 50 108 418 32 20 point(-4-8*i+t*(8+16*i)) ] , // fltk 7Fl_Tile 50 142 418 90 20 [ // fltk N4xcas19Multiline_Input_tabE 50 142 418 30 20 perpendiculaire(A,B,M);perpendiculaire(M,A,B) , // fltk N4xcas10Log_OutputE 50 172 418 1 20 , // fltk 9Fl_Scroll 50 173 418 59 20 [ // fltk N4xcas10Gen_OutputE 50 173 1261 32 20 [polygone(point(5,0),point(5+(i)*(-4-8*i+t*(8+16*i)-10))),polygone(point(-4-8*i+t*(8+16*i)),point(-4-8*i+t*(8+16*i)+5*i))] , // fltk 12Fl_Scrollbar 62 414 390 25 20 [] , // fltk 12Fl_Scrollbar 452 382 16 43 20 [] ] ] , // fltk 7Fl_Tile 50 234 418 90 20 [ // fltk N4xcas19Multiline_Input_tabE 50 234 418 30 20 H:=inter_unique(perpendiculaire(A,B,M),perpendiculaire(M,A,B)) , // fltk N4xcas10Log_OutputE 50 264 418 1 20 , // fltk 9Fl_Scroll 50 265 418 59 20 [ // fltk N4xcas10Gen_OutputE 50 265 529 32 20 point(((64-32*i)*t^2+(-64+92*i)*t+16-63*i)/(8*t-4)) , // fltk 12Fl_Scrollbar 50 299 418 25 20 [] , // fltk 12Fl_Scrollbar 468 265 16 34 20 [] ] ] , // fltk 7Fl_Tile 50 326 418 63 20 [ // fltk N4xcas19Multiline_Input_tabE 50 326 418 30 20 affichage(plotparam(affixe(H),t),rouge) , // fltk N4xcas10Log_OutputE 50 356 418 1 20 , // fltk N4xcas10Gen_OutputE 50 357 418 32 20 Too large for display ] , // fltk 7Fl_Tile 50 391 418 90 20 [ // fltk N4xcas19Multiline_Input_tabE 50 391 418 30 20 triangle(A,B,M) , // fltk N4xcas10Log_OutputE 50 421 418 1 20 , // fltk 9Fl_Scroll 50 422 418 59 20 [ // fltk N4xcas10Gen_OutputE 50 422 706 32 20 polygone(point(5,0),point(10,0),point(-4-8*i+t*(8+16*i)),point(5,0)) , // fltk 12Fl_Scrollbar 50 456 418 25 20 [] , // fltk 12Fl_Scrollbar 468 422 16 34 20 [] ] ] , // fltk 7Fl_Tile 50 483 418 63 20 [ // fltk N4xcas19Multiline_Input_tabE 50 483 418 30 20 affichage(plotfunc((10-m)*(m-5)/(2*m),m),rouge) , // fltk N4xcas10Log_OutputE 50 513 418 1 20 , // fltk N4xcas10Gen_OutputE 50 514 418 32 20 Too large for display ] , // fltk 7Fl_Tile 50 548 418 63 20 [ // fltk N4xcas19Multiline_Input_tabE 50 548 418 30 20 affichage(droite(y=-x/2+15/2),vert) , // fltk N4xcas10Log_OutputE 50 578 418 1 20 , // fltk N4xcas10Gen_OutputE 50 579 418 32 20 polygone(point(0,15/2),point(1,7)) ] , // fltk 7Fl_Tile 50 613 418 31 20 [ // fltk N4xcas19Multiline_Input_tabE 50 613 418 30 20 , // fltk N4xcas10Log_OutputE 50 643 418 1 20 ] ] // fltk N4xcas5Geo2dE 486 284 487 367 20 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