Difference between revisions of "2002 IMO Problems/Problem 2"
(→Solution) |
|||
| Line 5: | Line 5: | ||
: | : | ||
==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> | ||
| Line 46: | Line 47: | ||
\(\int_0^{\pi}{\sin{x}}\,dx=2\) | \(\int_0^{\pi}{\sin{x}}\,dx=2\) | ||
\end{document}</math> | \end{document}</math> | ||
| + | |||
| + | |||
| + | ==See Also== | ||
| + | |||
| + | {{IMO box|year=2002|num-b=1|num-a=3}} | ||
Revision as of 23:28, 18 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 | ||
