2.2 - Figur - Områdena 3x + 2y ≥ 2 och 3x + 2y ≤ 4

Förberedande kurs i matematik 1

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(Ny sida: <noinclude>Detta är en figur som används i teoriavsnitt 2.2 och är ritad i språket [http://en.wikipedia.org/wiki/Metapost Metapost]. Du kan redigera bilden geno...)
Nuvarande version (30 juni 2008 kl. 11.13) (redigera) (ogör)
(Fixat till felaktig lutning (som uppstod p.g.a. dx istället för 2dx på några ställen))
 
Rad 90: Rad 90:
vardef solve_x(expr y) = (2/3)*(1-y/(2dy)) enddef;
vardef solve_x(expr y) = (2/3)*(1-y/(2dy)) enddef;
vardef solve_y(expr x) = 1-(3/2)*(x/(2dx)) enddef;
vardef solve_y(expr x) = 1-(3/2)*(x/(2dx)) enddef;
-
p_solid := (wiggle (solve_x(-Ly_lwr+2bp/sqrt(2))*dx,-Ly_lwr+2bp/sqrt(2))
+
p_solid := (wiggle (solve_x(-Ly_lwr+2bp/sqrt(2))*2dx,-Ly_lwr+2bp/sqrt(2))
-- (Lx_rt-2bp,-Ly_lwr+2bp/sqrt(2)))
-- (Lx_rt-2bp,-Ly_lwr+2bp/sqrt(2)))
& (wiggle (Lx_rt-2bp,-Ly_lwr+2bp/sqrt(2))
& (wiggle (Lx_rt-2bp,-Ly_lwr+2bp/sqrt(2))
-- (Lx_rt-2bp,Ly_upr-2bp/sqrt(2)))
-- (Lx_rt-2bp,Ly_upr-2bp/sqrt(2)))
& (wiggle (Lx_rt-2bp,Ly_upr-2bp/sqrt(2))
& (wiggle (Lx_rt-2bp,Ly_upr-2bp/sqrt(2))
-
-- (solve_x(Ly_upr-2bp/sqrt(2))*dx,Ly_upr-2bp/sqrt(2)))
+
-- (solve_x(Ly_upr-2bp/sqrt(2))*2dx,Ly_upr-2bp/sqrt(2)))
--cycle;
--cycle;
pickup nullpen;
pickup nullpen;
Rad 147: Rad 147:
% The straight line
% The straight line
path p_line;
path p_line;
-
p_line := (solve_x(-Ly_lwr)*dx,-Ly_lwr)
+
p_line := (solve_x(-Ly_lwr)*2dx,-Ly_lwr)
-
--(solve_x(Ly_upr)*dx,Ly_upr);
+
--(solve_x(Ly_upr)*2dx,Ly_upr);
drawoptions(withcolor lightblue withpen pencircle scaled 0.6pt);
drawoptions(withcolor lightblue withpen pencircle scaled 0.6pt);
linecap:=butt;
linecap:=butt;
Rad 164: Rad 164:
vardef solve_x(expr y) = 4/3-(2/3)*y/(2dy) enddef;
vardef solve_x(expr y) = 4/3-(2/3)*y/(2dy) enddef;
vardef solve_y(expr x) = 2-(3/2)*(x/(2dx)) enddef;
vardef solve_y(expr x) = 2-(3/2)*(x/(2dx)) enddef;
-
p_solid := (wiggle (solve_x(-Ly_lwr+2bp/sqrt(2))*dx,-Ly_lwr+2bp/sqrt(2))
+
p_solid := (wiggle (solve_x(-Ly_lwr+2bp/sqrt(2))*2dx,-Ly_lwr+2bp/sqrt(2))
-- (-Lx_lft+2bp,-Ly_lwr+2bp/sqrt(2)))
-- (-Lx_lft+2bp,-Ly_lwr+2bp/sqrt(2)))
& (wiggle (-Lx_lft+2bp,-Ly_lwr+2bp/sqrt(2))
& (wiggle (-Lx_lft+2bp,-Ly_lwr+2bp/sqrt(2))
-- (-Lx_lft+2bp,Ly_upr-2bp/sqrt(2)))
-- (-Lx_lft+2bp,Ly_upr-2bp/sqrt(2)))
& (wiggle (-Lx_lft+2bp,Ly_upr-2bp/sqrt(2))
& (wiggle (-Lx_lft+2bp,Ly_upr-2bp/sqrt(2))
-
-- (solve_x(Ly_upr-2bp/sqrt(2))*dx,Ly_upr-2bp/sqrt(2)))
+
-- (solve_x(Ly_upr-2bp/sqrt(2))*2dx,Ly_upr-2bp/sqrt(2)))
--cycle;
--cycle;
pickup nullpen;
pickup nullpen;
Rad 221: Rad 221:
% The straight line
% The straight line
path p_line;
path p_line;
-
p_line := (solve_x(-Ly_lwr)*dx,-Ly_lwr)
+
p_line := (solve_x(-Ly_lwr)*2dx,-Ly_lwr)
-
--(solve_x(Ly_upr)*dx,Ly_upr);
+
--(solve_x(Ly_upr)*2dx,Ly_upr);
drawoptions(withcolor lightblue withpen pencircle scaled 0.6pt);
drawoptions(withcolor lightblue withpen pencircle scaled 0.6pt);
linecap:=butt;
linecap:=butt;

Nuvarande version

Detta är en figur som används i teoriavsnitt 2.2 och är ritad i språket Metapost. Du kan redigera bilden genom att klicka på redigera-fliken.


[Image]

Den här artikeln är hämtad från http://wiki.math.se/wikis/2008/forberedandematte1/index.php/2.2_-_Figur_-_Omr%C3%A5dena_3x_%2B_2y_%E2%89%A5_2_och_3x_%2B_2y_%E2%89%A4_4