II. grafika. grafikuli obieqtebis ageba: funqcia Graphics

Transcription

1 II. grafika grafikuli obieqtebis ageba: fuqcia Graphics wia leqciasi Cve gavixilet Mathematica sistemis grafikuli fuqciebi Plot (grafikis ageba sibrtkeze) da Plot3D (grafikis ageba sivrcesi). agretve gaxiluli iyo ListPlot, ParametricPlot, ParametricPlot3D, Maipulate, Aimate fuqciebi. CamoTvlil yvela fuqciasi SesaZlebelia damatebiti argumetebis (opciebis) gamoyeeba. geometriuli figurebis asagebad gamoiyeeba Graphics fuqcia, romelic Seicavs or aucilebel argumets: Graphics[grafikuli obieqti, opcia] grafikuli obieqti wrewiri: Circle fuqcia Circle[{x,y},r] xatavs wrewirs r radiusit cetrit wertilsi (x,y). Graphics Circle 0, 0,, Axes True Tu radiusi r=1 masi gamoviyeebt Circle fuqciis Semdeg formas Circle[{x,y}] Graphics Circle 0, 0, Axes True Circle[{x,y},r,{Α1,Α}] fuqciis gamoyeebit mivirebt wrewiris rkals, romlis cetri aris (x,y) wertilsi, r - radiusia, xolo Α1 da Α sawyisi da bolo kutxeebia Sesabamisad. gavixilot magaliti. Graphics Circle 0, 0, 1, Pi, Pi, Axes False Graphics Circle 0, 0, 1, Pi 6, 3 Pi 4 Circle[{x,y},{rx,ry}] xatavs elips cetrit wertilsi (x,y).

2 leqcia_7.b Graphics Red, Thick, Dashed, Circle 0, 0, 3, 4, Axes True grafikuli obieqti wre: Disk Disk[{x,y},r] xatavs SeRebil wres r radiusit cetrit wertilsi (x,y). fuqcia Disk[{x,y},{rx,ry}] xatavs SeRebil elips cetrit wertilsi (x,y). SesaZlebelia am fuqciis gamoyeeba Semdeg formasi: Disk[{x,y},r,{Α1,Α}]. gaixilet da SeadareT Semdegi otxi magaliti. Graphics Red, Disk 1,, 3 Graphics Blue, Disk 0, 0, 3, 4 Graphics Gree, Disk 0, 0, 1, Pi 4, 3 Pi 4, Axes True Graphics Gree, Disk 0, 0, 1, 0, Pi, Axes True grafikuli obieqti xazi: Lie Lie[{{x1,y1},{x,y},{x3,y3},...] am fuqciis musaoba gavixilot Semdeg magalitebze. Graphics Lie 1, 0,, 1, 3, 0, 4, 1, Axes True

3 leqcia_7.b l Lie 1, 0,, 1, 3, 0, 4, 1, 5, 0, 6, 1 ; Graphics Dashed, l, Graphics Orage, l, Graphics Thick, l, Graphics Thick, Dashed, Orage, l,,, am magalitsi Cve avaget xazi sxvadasxva stilit. axla mivirot eqvskutxedi: aa Table Cos t, Si t, t, Pi 6, 13 Pi 6, Pi 3 3, 1, 0, 1, 3, 1, 3 Show Graphics Lie aa, ImageSize 30, 1, 0, 1, 3, 1, 3, 1 gavixilot sami magaliti. Maipulate Graphics White, Lie 1, 0, 1, 0, Lie 0, 1, 0, 1, Gree, Disk 0, 0, 1, 0,, Axes False,, Pi, 0, Pi 18 Aimate Graphics Gree, Disk 0, 0, 1,, k, Lie 1, 0, 1, 0, Lie 0, 1, 0, 0, Axes False,, 0 Degree, Pi, 0.0, k, 180 Degree, Pi, 0.0 k

4 4 leqcia_7.b Aimate Graphics Gree, Disk 0, 0, 1,, k, Lie 1, 0, 1, 0, Lie 0, 1, 0, 1, Axes False,, 0, 180 Degree, k, 360 Degree, 180 Degree k grafikuli obieqti martkutxedi: Rectagle[{xmi,ymi},{xmax,ymax}] Graphics Red, Rectagle 0, 0, 1, 3, Blue, Rectagle, 1, 4,, Axes True Rectagle[{xmi,ymi}] am SemTxvevaSi vrebulobt kvadrats. Graphics Red, Rectagle 0, 0, Blue, Rectagle,, Axes True gavixilot Semdegi magaliti. Graphics Opacity 0.3, Red, Rectagle 0, 0, Blue, Rectagle,, Axes True

5 leqcia_7.b Maipulate Graphics Opacity, Red, Rectagle 0, 0, Blue, Rectagle,, Axes False,, 0.1, 1., 0.1 Rotate fuqcia. Graphics Rotate Opacity, Red, Rectagle, 30 Degree, Axes True, Ticks Noe Graphics Opacity, Rotate Red, Rectagle, 30 Degree, 0, 0, Axes True, Ticks Noe Rotate b 4 a c, 45 Degree b 4 a c grafikuli obieqti wertili: Poit[{x,y}] gavixilot Semdegi ori magaliti. Graphics Poit Table t, Si t, t, 0, Π, Π 10 z Graphics Red, PoitSize Large, Poit 0, 0, 1, 1,,, 3, 3, 3, 3,,, 1, 1,, 3, 1, 3, 0, 3, 1, 3,, 3 Rotate z, 180 Degree

6 6 leqcia_7.b SevqmaT Semdegi obieqti: avagot wertili, romelic imozravebs wrewirze. Graphics Red, PoitSize Large, Poit 1, 0, Gree, Circle 0, 0, Axes True 0 Maipulate Graphics Red, PoitSize 0.05, Poit N Si k, N Cos k, Gree, Thick, Circle 0, 0, Axes False, k, 0 Degree, Pi, Pi 5 k Sedegad Cve miviret witeli wertili, romelic mozraobs mwva wrewirze. SecvaleT Maipulate fuqcia Aimate fuqciit. grafikuli obieqti teqsti: Text Show Graphics Blue, Text StyleForm "matematika", FotFamily "AcadNusx", FotSize 5, 0, 0 matematika Graphics Red, Circle, Blue, Text x ^ y ^ 1, 0, 0 x y 1 fuqcia Iset gavixilot ramdeime magaliti: Graphics LightGray, Disk, Iset Plot Ta x, x, 3, 3

7 leqcia_7.b Graphics LightGray, Rectagle, Iset Plot Ta x, x, 4, 4 Graphics Iset Style x ^ y ^ 1, Medium, Circle x y 1 Graphics Iset Style "circle", Blue, BaseStyle Directive Large, Italic, Circle circle Graphics Circle, Iset x ^ y ^ 1, 1, 1, Axes True gaixilet Sesabamisi opciebi: Optios[Iset] Optios Iset Aligmet Left, Backgroud Noe, BaseStyle Iset, CotetSelectable Automatic, FormatType Automatic davaleba 1. daweret programa, romlis mesveobit miirebt 00 wertili SemTxveviTi koordiatebit, ferit da zomit. Graphics Table Hue RadomReal, PoitSize RadomReal 0, 0.1, Poit RadomReal 1,, 00. gamotvalet Semdegi sami gamosaxuleba:

8 8 leqcia_7.b Graphics Table Thick, Hue RadomReal, Circle RadomReal 4,, RadomReal, 40, Axes True Graphics Table Opacity 0.6, EdgeForm Black, Thick, Hue RadomReal, Disk RadomReal 4,, RadomReal, 40, Axes True Maipulate Graphics Table Opacity k, EdgeForm Black, Thick, Hue RadomReal, Disk RadomReal 4,, RadomReal,, Axes True,, 1, 35, k, 0, 0.9, 0.01 k gamotvalet Semdegi gamosaxuleba: Plot x ^, x,,, Epilog Iset Framed Style "parabola", 15, Backgroud Yellow 4. gaixilet Semdegi obieqti: Aimate Plot t x 1 1 t x, x, 1, 1, Axes False, Epilog Red, Circle 0, 1, 3, Blue, Disk 1,,.3, Disk 1,,.3, Black, Lie 0, 0.6, 0, 1.6, PlotRage 3, 3,, 4, AspectRatio 1, t, 0, 1 5. ras dabewdavs Semdegi programa? kk Graphics Lie,0, 0,0, 0,,,,,0, 0,, 1,3,,, 0,0

9 leqcia_7.b PasteButto Show kk, AspectRatio Automatic, Backgroud Red, ImageSize gaixilet Semdegi programa. Graphics EdgeForm Black, Table Hue RadomReal, Rotate Rectagle RadomReal,, RadomIteger 1, 90 Degree, 0