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| | size(216); | | size(216); |
| | | | |
| − | real e = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
| + | draw((0,10)--(0,0)--(10,0)); draw((5,10)--(0,0)--(10,5)); |
| − | real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
| + | label("$ct$",(0,10),N); label("$x$",(10,0),E); |
| | + | label("$ct'$",(5,10),N); label("$x'$",(10,5),E); |
| | | | |
| − | xaxis("$x$",0,5);
| + | dot((0,3),blue); dot((3,6),blue); draw((0,3)--(3,6),blue); |
| − | yaxis("$ct$",0,5);
| + | label("$ct_1$",(0,3),W,blue); label("$ct_2'$",(3,6),NW,blue); |
| − | | |
| − | real f(real x) { return (x^3 - 9 * x^2 + 29 * x - 15)/6; }
| |
| − | | |
| − | draw(graph(f,1,5)); dot((3.5,f(3.5)));
| |
| − | label("$P$",(3.5,f(3.5)),SE);
| |
| − | | |
| − | limits((-1,-1),(5,5),Crop);
| |
| − | </asy>
| |
| − | | |
| − | <!-- 3D
| |
| − | <asy>
| |
| − | import graph3;
| |
| − | import three;
| |
| − | | |
| − | size(288);
| |
| − | | |
| − | real e = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
| |
| − | real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
| |
| − | | |
| − | currentprojection=orthographic(3,-2,2);
| |
| − | xaxis3("$z'$",0,5);
| |
| − | yaxis3("$x'$",0,5);
| |
| − | zaxis3("$y'$",0,5);
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| − | | |
| − | //real f(real x) { return 3 * (-1/x + 1/(2*x^2)); }
| |
| − | //triple g(real t) { return (2 * cos(pi * t/180), 2 * sin(pi * t/180), 2.5); }
| |
| − | //triple rot(real t) { return (0.2 * cos(pi * t/180), 0.2 * sin(pi * t/180), 4.5); }
| |
| − | | |
| − | draw((0,0,4)--(0,1,4),EndArrow3);
| |
| − | label("$O'$",(0,0,0),W); label("$S'$",(0,-1,4),W); label("$v$",(0,1,4),NE); | |
| | </asy> | | </asy> |
| − | -->
| |
![[asy] size(216); draw((0,10)--(0,0)--(10,0)); draw((5,10)--(0,0)--(10,5)); label("$ct$",(0,10),N); label("$x$",(10,0),E); label("$ct'$",(5,10),N); label("$x'$",(10,5),E); dot((0,3),blue); dot((3,6),blue); draw((0,3)--(3,6),blue); label("$ct_1$",(0,3),W,blue); label("$ct_2'$",(3,6),NW,blue); [/asy]](http://latex.artofproblemsolving.com/5/a/a/5aa32b4b39ea87966619720471695320b8335aa8.png)
