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kopie minulého náboje + nové úlohy

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Jáchym Bártík
2019-05-06 18:59:19 +02:00
parent 7e6192a9e0
commit bc0274024f
89 changed files with 8086 additions and 2 deletions
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2
naboj/problems/graphics/.gitignore vendored Normal file
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*.log
*.mpx

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input fks
verbatimtex
%&latex
\documentclass[9pt]{extarticle}
\usepackage[utf8]{inputenc}
\usepackage{fkssugar}
\begin{document}
etex
prologues:=3;
beginfig(1);
u:=1cm;
drawarrow origin--(0,4u);
drawarrow origin--(4u,0);
drawarrow (3u,u)--(u,u);
drawarrow (3u,3u)--(3u,u);
drawarrow (u,u)--(3u,3u);
draw (0,u)--(u,u)--(u,0) dashed dashpattern (on .08u off .1u);
draw (0,0)--(u,u) dashed dashpattern (on .08u off .1u);
draw (0,3u)--(3u,3u) dashed dashpattern (on .08u off .1u);
draw (3u,0)--(3u,u) dashed dashpattern (on .08u off .1u);
label.rt(btex $2$ etex,(3u,3u));
label.rt(btex $3$ etex,(3u,u));
label.ulft(btex $1$ etex,(u,u));
label.lft(btex $p$ etex,(0,4u));
label.lft(btex $p_3$ etex,(0,3u));
label.lft(btex $p_1$ etex,(0,u));
label.bot(btex $T$ etex, (4u,0));
label.bot(btex $T_3$ etex, (3u,0));
label.bot(btex $T_1$ etex, (u,0));
label.llft(btex $0$ etex, origin);
endfig;
verbatimtex
\end{document}
etex
end;

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naboj/problems/graphics/problem_1999_07_zadani.eps Normal file
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naboj/problems/graphics/problem_1999_07_zadani.mp Normal file
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input fks
verbatimtex
%&latex
\documentclass[9pt]{extarticle}
\usepackage[utf8]{inputenc}
\usepackage{fkssugar}
\begin{document}
etex
prologues:=3;
beginfig(1);
u:=1cm;
drawarrow origin--(0,4u);
drawarrow origin--(4u,0);
drawarrow (u,u)--(3u,u);
drawarrow (3u,u)--(3u,3u);
drawarrow (3u,3u)--(u,u);
draw (0,u)--(u,u)--(u,0) dashed dashpattern (on .08u off .1u);
draw (0,0)--(u,u) dashed dashpattern (on .08u off .1u);
draw (0,3u)--(3u,3u) dashed dashpattern (on .08u off .1u);
draw (3u,0)--(3u,u) dashed dashpattern (on .08u off .1u);
label.rt(btex $3$ etex,(3u,3u));
label.rt(btex $2$ etex,(3u,u));
label.ulft(btex $1$ etex,(u,u));
label.lft(btex $V$ etex,(0,4u));
label.lft(btex $V_3$ etex,(0,3u));
label.lft(btex $V_1$ etex,(0,u));
label.bot(btex $T$ etex, (4u,0));
label.bot(btex $T_3$ etex, (3u,0));
label.bot(btex $T_1$ etex, (u,0));
label.llft(btex $0$ etex, origin);
endfig;
verbatimtex
\end{document}
etex
end;

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naboj/problems/graphics/problem_1999_09_zadani.eps Normal file
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%%+ font ICXWUR-CMR10
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/SlantFont{fmc 2 get dup 0 eq{pop 1}if Amul FontMatrix 0 get mul 2 exch put fmd}bd
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%%BeginResource: font ICXWUR-CMR10
%!PS-AdobeFont-1.0: CMR10 003.002
%%Title: CMR10
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%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMR10.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
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45
naboj/problems/graphics/problem_1999_09_zadani.mp Normal file
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@ -0,0 +1,45 @@
input fks
verbatimtex
%&latex
\documentclass[9pt]{extarticle}
\usepackage[utf8]{inputenc}
\usepackage{fkssugar}
\begin{document}
etex
prologues:=3;
beginfig(1);
u:=3cm;
def rezistor(expr X,Y) =
s:=3;
t:=0.1;
draw X--(X+1/s*(Y-X));
draw t*u*unitvector(Y-X) rotated 90 shifted (X+1/s*(Y-X)) -- t*u*unitvector(Y-X) rotated -90 shifted (X+1/s*(Y-X)) -- t*u*unitvector(Y-X) rotated -90 shifted (X+(s-1)/s*(Y-X)) -- t*u*unitvector(Y-X) rotated 90 shifted (X+(s-1)/s*(Y-X)) -- cycle;
draw (X+(s-1)/s*(Y-X))--Y;
enddef;
def rezistori(expr X,Y) =
s:=3.8;
t:=0.1;
draw X--(X+1/s*(Y-X));
draw t*u*unitvector(Y-X) rotated 90 shifted (X+1/s*(Y-X)) -- t*u*unitvector(Y-X) rotated -90 shifted (X+1/s*(Y-X)) -- t*u*unitvector(Y-X) rotated -90 shifted (X+(s-1)/s*(Y-X)) -- t*u*unitvector(Y-X) rotated 90 shifted (X+(s-1)/s*(Y-X)) -- cycle;
draw (X+(s-1)/s*(Y-X))--Y;
enddef;
rezistor((u,u),(u,-u));
rezistor((u,u),(-u,u));
rezistor((-u,-u),(u,-u));
rezistor((-u,-u),(-u,u));
rezistori((u,u),origin);
rezistori((u,-u),origin);
rezistori((-u,u),origin);
rezistori((-u,-u),origin);
label.top("B",origin) scaled 1.5 shifted (0,.05u);
label.lft(("A") ,(-u,-u)) scaled 1.5 shifted (.5*(u,u));
endfig;
verbatimtex
\end{document}
etex
end;

410
naboj/problems/graphics/problem_1999_11_zadani.eps Normal file
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34
naboj/problems/graphics/problem_1999_11_zadani.mp Normal file
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input fks
verbatimtex
%&latex
\documentclass[9pt]{extarticle}
\usepackage[utf8]{inputenc}
\usepackage{fkssugar}
\begin{document}
etex
prologues:=3;
beginfig(1);
u:=0.6cm;
draw origin--(5u,0)--(5u,4u)--(0,4u)--cycle;
draw fullcircle scaled (u/2) shifted (u,-u/4);
draw fullcircle scaled (u/2) shifted (4u,-u/4);
draw (-u,-u/2)--(7u,-u/2);
draw (u,4u)--(2u,4u)--(2u,5u)--(u,5u)--cycle;
draw ((u,4u)--(2u,4u)--(2u,5u)--(u,5u)--cycle) shifted (4u,-3u);
draw fullcircle scaled (u/2) shifted (5.3u,4.3u);
draw (2u,4.55u)--(5.3u,4.55u);
draw (5.55u,4.3u)--(5.55u,2u);
draw (5u,4u)--(5.3u,4.3u);
drawarrow (1.5u,2u)--(3.5u,2u);
label.top("a",(2.5u,2u));
label("m",(1.5u,4.5u));
label("m",(1.5u,4.5u)) shifted (4u,-3u);
endfig;
verbatimtex
\end{document}
etex
end;

87
naboj/problems/graphics/problem_1999_18_reseni.eps Normal file
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52
naboj/problems/graphics/problem_1999_18_reseni.mp Normal file
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@ -0,0 +1,52 @@
input fks
verbatimtex
%&latex
\documentclass[9pt]{extarticle}
\usepackage[utf8]{inputenc}
\usepackage{fkssugar}
\begin{document}
etex
prologues:=3;
u:=1cm;
beginfig(1);
u:=.3cm;
def spojka(expr A,B)=
alphamo := 30;
delkasipky := .07;
path delka;
delka := A--B;
sipka := sqrt((ypart(A-B)**2)+(xpart(A-B)**2))*delkasipky; %vzdalenost bodu A a B
draw delka;
draw A--A+sipka*dir (angle(A-B)+180-alphamo);
draw A--A+sipka*dir (angle(A-B)+180+alphamo);
draw B--B+sipka*dir (angle(B-A)+180-alphamo);
draw B--B+sipka*dir (angle(B-A)+180+alphamo);
enddef;
spojka((0,8u),(0,-8u));
fill (20u,8u)--(12u,4u)--(12u,-4u)--(20u,-8u)--cycle withcolor .95white;
fill (-10u,7u)--(-4u,4u)--(-4u,-4u)--(-10u,-7u)--cycle withcolor .95white;
draw (-2u,2u)--(-6u,2u)--(-6u,-2u)--(-2u,-2u)--cycle;
draw (-10u, 0)--(20u,0) withpen pencircle scaled .1bp;
carka:=.2u;
draw (-4u,carka)--(-4u,-carka);
draw (4u,carka)--(4u,-carka);
draw (-4u,0)--(0,4u)--(12u,4u)--(20u,8u);
draw (-6u,2u)--(0,-4u)--(12u,-4u)--(0u,2u)--(-2u,2u);
draw (12u,4u)--(12u,-4u)--(20u,-4u);
draw (12u,-4u)--(20u,-8u);
draw (0,4u)--(-10u,4u) dashed dashpattern (on .3u off .3u);
draw (0,2u)--(-4u,4u) dashed dashpattern (on .3u off .3u);
draw (-10u,7u)--(-4u,4u)--(-4u,-4u)--(-10u,-7u);
endfig;
verbatimtex
\end{document}
etex
end;

50
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41
naboj/problems/graphics/problem_1999_18_zadani.mp Normal file
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@ -0,0 +1,41 @@
input fks
verbatimtex
%&latex
\documentclass[9pt]{extarticle}
\usepackage[utf8]{inputenc}
\usepackage{fkssugar}
\begin{document}
etex
prologues:=3;
beginfig(1);
u:=.3cm;
def spojka(expr A,B)=
alphamo := 30;
delkasipky := .07;
path delka;
delka := A--B;
sipka := sqrt((ypart(A-B)**2)+(xpart(A-B)**2))*delkasipky; %vzdalenost bodu A a B
draw delka;
draw A--A+sipka*dir (angle(A-B)+180-alphamo);
draw A--A+sipka*dir (angle(A-B)+180+alphamo);
draw B--B+sipka*dir (angle(B-A)+180-alphamo);
draw B--B+sipka*dir (angle(B-A)+180+alphamo);
enddef;
spojka((0,8u),(0,-8u));
draw (-2u,2u)--(-6u,2u)--(-6u,-2u)--(-2u,-2u)--cycle;
draw (-10u, 0)--(20u,0) withpen pencircle scaled .1bp;
carka:=.2u;
draw (-4u,carka)--(-4u,-carka);
draw (4u,carka)--(4u,-carka);
endfig;
verbatimtex
\end{document}
etex
end;

1201
naboj/problems/graphics/problem_1999_32_reseni.eps Normal file
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78
naboj/problems/graphics/problem_1999_32_reseni.mp Normal file
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@ -0,0 +1,78 @@
input fks
verbatimtex
%&latex
\documentclass[9pt]{extarticle}
\usepackage[utf8]{inputenc}
\usepackage{fkssugar}
\begin{document}
etex
prologues:=3;
u:=1cm;
beginfig(1);
u:=1cm;
def rezistor(expr X,Y) =
s:=4;
t:=0.2;
draw X--(X+1/s*(Y-X));
draw t*u*unitvector(Y-X) rotated 90 shifted (X+1/s*(Y-X)) -- t*u*unitvector(Y-X) rotated -90 shifted (X+1/s*(Y-X)) -- t*u*unitvector(Y-X) rotated -90 shifted (X+(s-1)/s*(Y-X)) -- t*u*unitvector(Y-X) rotated 90 shifted (X+(s-1)/s*(Y-X)) -- cycle;
draw (X+(s-1)/s*(Y-X))--Y;
enddef;
q:=4u;
rezistor((0,q),(q,q));
rezistor((q,0),(q,q));
rezistor((2q,q),(q,q));
rezistor((2q,q),(2q,0));
rezistor((2q,q),(3q,q));
rezistor((3q,q),(3q,0));
rezistor((3q,q),(4q,q));
rezistor((4q,q),(4q,0));
draw (4q,0)--origin;
drawarrow ((4q,q/3)--(4q,2*q/3)) shifted (-q/8,0);
drawarrow ((4q,q/3)--(4q,2*q/3)) shifted (-q/8-q,0);
drawarrow ((4q,q/3)--(4q,2*q/3)) shifted (-q/8-2q,0);
drawarrow ((4q,q/3)--(4q,2*q/3)) shifted (-q/8-3q,0);
drawarrow ((4q-q/3,q)--(3q+q/3,q)) shifted (0,-q/8);
drawarrow ((4q-q/3,q)--(3q+q/3,q)) shifted (-q,-q/8);
drawarrow ((4q-q/3,q)--(3q+q/3,q)) shifted (-2q,-q/8);
drawarrow ((4q-q/3,q)--(3q+q/3,q)) shifted (-3q,-q/8);
label.rt("1A", (4q,q/2)) scaled 2 shifted -(4q,q/2);
r:=15;
unfill fullcircle scaled (q/r);
draw fullcircle scaled (q/r);
unfill fullcircle scaled (q/r) shifted (0,q);
draw fullcircle scaled (q/r) shifted (0,q);
%label("U=?",(0,q/2)) scaled 2 shifted -(0,q/2);
label.top("1A", (4q,q/2)) scaled 2 shifted -(4.5q,-.05q);
label.top("3A", (4q,q/2)) scaled 2 shifted -(5.5q,-.05q);
label.top("8A", (4q,q/2)) scaled 2 shifted -(6.5q,-.05q);
label.top("21A", (4q,q/2)) scaled 2 shifted -(7.5q,-.05q);
label.rt("2A", (4q,q/2)) scaled 2 shifted -(5q,q/2);
label.rt("5A", (4q,q/2)) scaled 2 shifted -(6q,q/2);
label.rt("13A", (4q,q/2)) scaled 2 shifted -(7q,q/2);
label.top(btex A etex scaled 1.5,(4q,q));
label.top(btex B etex scaled 1.5,(3q,q));
label.top(btex C etex scaled 1.5,(2q,q));
label.top(btex D etex scaled 1.5,(1q,q));
label.bot(btex E etex scaled 1.5,(4q,0));
label.bot(btex F etex scaled 1.5,(3q,0));
label.bot(btex G etex scaled 1.5,(2q,0));
label.bot(btex H etex scaled 1.5,(1q,0));
endfig;
verbatimtex
\end{document}
etex
end;

496
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naboj/problems/graphics/problem_1999_32_zadani.mp Normal file
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input fks
verbatimtex
%&latex
\documentclass[9pt]{extarticle}
\usepackage[utf8]{inputenc}
\usepackage{fkssugar}
\begin{document}
etex
prologues:=3;
u:=1cm;
beginfig(1);
u:=1cm;
def rezistor(expr X,Y) =
s:=4;
t:=0.2;
draw X--(X+1/s*(Y-X));
draw t*u*unitvector(Y-X) rotated 90 shifted (X+1/s*(Y-X)) -- t*u*unitvector(Y-X) rotated -90 shifted (X+1/s*(Y-X)) -- t*u*unitvector(Y-X) rotated -90 shifted (X+(s-1)/s*(Y-X)) -- t*u*unitvector(Y-X) rotated 90 shifted (X+(s-1)/s*(Y-X)) -- cycle;
draw (X+(s-1)/s*(Y-X))--Y;
enddef;
q:=4u;
rezistor((0,q),(q,q));
rezistor((q,0),(q,q));
rezistor((2q,q),(q,q));
rezistor((2q,q),(2q,0));
rezistor((2q,q),(3q,q));
rezistor((3q,q),(3q,0));
rezistor((3q,q),(4q,q));
rezistor((4q,q),(4q,0));
draw (4q,0)--origin;
drawarrow ((4q,q/3)--(4q,2*q/3)) shifted (-q/8,0);
label.rt("1A", (4q,q/2)) scaled 2 shifted -(4q,q/2);
r:=15;
unfill fullcircle scaled (q/r);
draw fullcircle scaled (q/r);
unfill fullcircle scaled (q/r) shifted (0,q);
draw fullcircle scaled (q/r) shifted (0,q);
label("U=?",(0,q/2)) scaled 2 shifted -(0,q/2);
endfig;
verbatimtex
\end{document}
etex
end;