Difference between revisions of "2002 IMO Problems/Problem 2"
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==Solution== | ==Solution== | ||
| + | {{solution}} | ||
:<math>\text{By construction, AEOF is a rhombus with } 60^\circ - 120^\circ \text{angles}</math> | :<math>\text{By construction, AEOF is a rhombus with } 60^\circ - 120^\circ \text{angles}</math> | ||
:<math>\text{ Consequently, we may set } s = AO = AE = AF = EO = EF</math> | :<math>\text{ Consequently, we may set } s = AO = AE = AF = EO = EF</math> | ||
| + | :<math> \documentclass{article} | ||
| + | \usepackage[pdftex]{graphicx} | ||
| + | \usepackage{asymptote} | ||
| + | \begin{document} | ||
| + | Hello. | ||
| + | I like to make pics with Asymptote like this one: | ||
| + | \begin{figure}[h] | ||
| + | \begin{asy} | ||
| + | import graph; | ||
| + | size(1inch); | ||
| + | filldraw(circle((0,0),1),yellow,black); | ||
| + | fill(circle((-.3,.4),.1),black); | ||
| + | fill(circle((.3,.4),.1),black); | ||
| + | draw(arc((0,0),.5,-140,-40)); | ||
| + | \end{asy} | ||
| + | \end{figure} | ||
| + | \par It makes me happy, | ||
| + | since I can still type my normal LaTeX stuff around it: | ||
| + | \(\int_0^{\pi}{\sin{x}}\,dx=2\) | ||
| + | \end{document}\documentclass{article} | ||
| + | \usepackage[pdftex]{graphicx} | ||
| + | \usepackage{asymptote} | ||
| + | \begin{document} | ||
| + | Hello. | ||
| + | I like to make pics with Asymptote like this one: | ||
| + | \begin{figure}[h] | ||
| + | \begin{asy} | ||
| + | import graph; | ||
| + | size(1inch); | ||
| + | filldraw(circle((0,0),1),yellow,black); | ||
| + | fill(circle((-.3,.4),.1),black); | ||
| + | fill(circle((.3,.4),.1),black); | ||
| + | draw(arc((0,0),.5,-140,-40)); | ||
| + | \end{asy} | ||
| + | \end{figure} | ||
| + | \par It makes me happy, | ||
| + | since I can still type my normal LaTeX stuff around it: | ||
| + | \(\int_0^{\pi}{\sin{x}}\,dx=2\) | ||
| + | \end{document}</math> | ||
| + | |||
| + | ==See Also== | ||
| + | |||
| + | {{IMO box|year=2002|num-b=1|num-a=3}} | ||
Latest revision as of 00:28, 19 November 2023
Problem
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
- $\documentclass{article}
\usepackage[pdftex]{graphicx} \usepackage{asymptote} \begin{document} Hello. I like to make pics with Asymptote like this one: \begin{figure}[h]
\begin{asy}
import graph;
size(1inch);
filldraw(circle((0,0),1),yellow,black);
fill(circle((-.3,.4),.1),black);
fill(circle((.3,.4),.1),black);
draw(arc((0,0),.5,-140,-40));
\end{asy}
\end{figure} \par It makes me happy, since I can still type my normal LaTeX stuff around it: \(\int_0^{\pi}{\sin{x}}\,dx=2\) \end{document}\documentclass{article} \usepackage[pdftex]{graphicx} \usepackage{asymptote} \begin{document} Hello. I like to make pics with Asymptote like this one: \begin{figure}[h]
\begin{asy}
import graph;
size(1inch);
filldraw(circle((0,0),1),yellow,black);
fill(circle((-.3,.4),.1),black);
fill(circle((.3,.4),.1),black);
draw(arc((0,0),.5,-140,-40));
\end{asy}
\end{figure} \par It makes me happy, since I can still type my normal LaTeX stuff around it: \(\int_0^{\pi}{\sin{x}}\,dx=2\) \end{document}$ (Error compiling LaTeX. Unknown error_msg)
See Also
| 2002 IMO (Problems) • Resources | ||
| Preceded by Problem 1 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 3 |
| All IMO Problems and Solutions | ||
