{VERSION 5 0 "IBM INTEL NT" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 0 0 0 255 1 0 0 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "R3 Font 0" -1 256 1 {CSTYLE "" -1 -1 " Courier" 1 11 128 0 128 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "R3 Font 2" -1 257 1 {CSTYLE "" -1 -1 "Courier" 1 11 0 128 128 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 25 " Umstellen von Formeln:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "l1:=solve(3-B*(3-2*c)=1,c):" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "l2:=solve(2*A-1/(3-c)=1,c): " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "l3:=solve(2*A*(1/2*c-1) =1,c):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "g1:=U=2*Pi*r+r: s olve(g1,r):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "g2:=O=2*a*b+ b*c+2: solve(g2,a):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "g3:= A=3*(a+2*b): solve(g3,b):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "g4:=B=4/(a+2*b): solve(g4,b):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 53 "g5:=B=4/a-(1-c)/b: solve(g5,b):\n\n\n# Gleichungssyst em " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "gl1:=a*x+y=2*a;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$gl1G/,&*&%\"aG\"\"\"%\"xGF)F)%\"yGF),$*&\"\" #F)F(F)F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "gl2:=x+1/a*y=1 ;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$gl2G/,&%\"xG\"\"\"*&%\"aG!\"\"%\"yGF(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 33 " # L\366 sung des Gleichungssystems" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "lsg:= solve(\{gl1,gl2\},\{x,y\});" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 65 " Gleichungssystem mit \+ 2 Unbekannten erzeugen, L\366sungen vorgeben" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "d1:=3*x-4*y:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "d2:=6*x+5*y:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "x1:=- 3: y1:=4: # L\366sungen vorgeben" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "r1:=subs(x=x1,y=y1,d1):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "r2:=subs(x=x1,y=y1,d2):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "glg1:=d1=r1:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "glg2:=d2=r2:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 43 " L\366sen des Gleichungssystems (Kontrolle):" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "lsg:=solve(\{glg1,glg2\},\{x,y\}):\n\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 34 "Gleichungssystem mit 3 Unbekannten" }{MPLTEXT 1 0 0 "" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "d1:=2*x-3*y+z:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "d2:=x-2*y-3*z:" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 14 "d3:=2*x+y-2*z:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "x1:=-2: y1:=1: z1:=0: # L\366sungen vorgeben" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "r1:=subs(x=x1,y=y1,z=z1,d1): " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "r2:=subs(x=x1,y=y1,z=z1 , d2):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "r3:=subs(x=x1,y=y 1,z=z1, d3):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "glg1:=d1=r1 :" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "glg2:=d2=r2:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "glg3:=d3=r3:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 45 " L\366sen des Gleichungssystems (Kont rolle):" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "lsg:=solve(\{glg1,glg2,g lg3\},\{x,y,z\}):\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 47 " quadr atische Gleichung, L\366sungen vorgeben" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "x1:=-1:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "x 2:=1/2:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "expand((x-x1)*(x -x2)):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "restart:\n" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 24 " Exponentialfunktion" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "g:=x->a*q^x:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "glg1:=g(1)=30:" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 14 "glg2:=g(2)=70:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 31 " L\366sen des Gleichungssystems" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "lsg:=evalf(solve(\{glg1,glg2\}),6):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "g:=unapply(subs(lsg,g(x)),x):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "plot(g(x),x=0..10,y=0..300):\n" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 29 " Abstand zweier Punkte" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "x1:=4: y1:=-1: x2:=-3: y2: =-6:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "d:=sqrt( (x2-x1) ^2+(y2-y1)^2 );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"dG*$\"#u#\"\" \"\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "d1:=x2-x1:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "d2:=y2-y1:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "restart:\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 18 " Ei nsetz\374bungen:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "term:=1/x+x^2: " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "subs(x=2*sqrt(3),term): " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 29 " Gleichungen h\366heren Gra des" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "k:=expand( (x-3)*(x+2)*(x-5) ):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "gl:=expand(k):" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 5 " " }{MPLTEXT 1 0 24 "# solve(gl ,y):\n\nrestart;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 111 " Aufgaben zu m Thema Pythagoras,\n f\374r ein rechtwinkliges Dreieck sind gegeben :\n\n1. 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