Art of Problem Solving

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I did everything related to the [[ Mock AIME 3 Pre 2005]]
<asy>
all in one edit - each solution page, the answers, and the entire aime page.
 
unitsize(.5cm);
pair bar(pair a) {
return (a.x,-a.y);
};
pair A[] = { (6.5,0),(1.5,12) };
pair P[] = { A[0],A[1],-bar(A[1]),-bar(A[0]),(2A[0]-bar(A[0]))/3,(2A[0]+A[1])/3,
(5A[0]-4bar(A[0]))/9,(5A[0]+4A[1])/9
};
pair D[] = { (2P[4]+P[5])/3,(P[4]+2P[5])/3 };
draw( D[0]--P[6] ,blue+1mm);
draw( D[0]--P[4] ,blue+1mm);
draw( P[6]--P[4], black+1mm);
pair E[] = {(D[0]+P[6])/2,D[0] + P[6] - P[4]};
dot(E[0]);dot(E[1]);
draw(P[6]--E[1],red+1mm);
draw(P[4]--E[1],red+1mm);
draw(P[4]--P[5]);
draw( D[0] -- E[1]);
draw(D[1]--P[7]);
draw( P[3] -- P[0] -- P[1]) ;
for(int i=0;i<10;++i) {
if(i<4) {
 
} else {
dot( (i<8) ? P[i] : D[i-8] );
}
};
 
</asy>

Latest revision as of 00:21, 15 September 2008

[asy]  unitsize(.5cm); pair bar(pair a) {  return (a.x,-a.y); }; pair A[] = { (6.5,0),(1.5,12) }; pair P[] = { A[0],A[1],-bar(A[1]),-bar(A[0]),(2A[0]-bar(A[0]))/3,(2A[0]+A[1])/3, (5A[0]-4bar(A[0]))/9,(5A[0]+4A[1])/9  }; pair D[] = { (2P[4]+P[5])/3,(P[4]+2P[5])/3 }; draw( D[0]--P[6] ,blue+1mm); draw( D[0]--P[4] ,blue+1mm); draw( P[6]--P[4], black+1mm); pair E[] = {(D[0]+P[6])/2,D[0] + P[6] - P[4]}; dot(E[0]);dot(E[1]); draw(P[6]--E[1],red+1mm); draw(P[4]--E[1],red+1mm); draw(P[4]--P[5]); draw( D[0] -- E[1]); draw(D[1]--P[7]); draw( P[3] -- P[0] -- P[1]) ; for(int i=0;i<10;++i) { if(i<4) {  } else {  dot( (i<8) ? P[i] : D[i-8] ); } };  [/asy]