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| | /* Made by MRENTHUSIASM */ | | /* Made by MRENTHUSIASM */ |
| | size(300); | | size(300); |
| − | pair A, B, C, D, A1, B1, C1, D1, P, Q; | + | pair A, B, C, D; |
| − | A = (-250,6*sqrt(731)); | + | A = (-400,100); |
| − | B = (250,6*sqrt(731)); | + | B = (0,100); |
| − | C = (325,-6*sqrt(731)); | + | C = (400,100); |
| − | D = (-325,-6*sqrt(731)); | + | D = (0,-300); |
| − | A1 = bisectorpoint(B,A,D);
| + | dot("$\hat{f}(i-1,j)$",A,1.5*dir(A),linewidth(4)); |
| − | B1 = bisectorpoint(A,B,C);
| + | dot("$\hat{f}(i,j)$",B,1.5*dir(B),linewidth(4)); |
| − | C1 = bisectorpoint(B,C,D);
| + | dot("$\hat{f}(i+1,j)$",C,1.5*dir(C),linewidth(4)); |
| − | D1 = bisectorpoint(A,D,C);
| + | dot("$\hat{f}(i,j+1)$",D,1.5*dir(D),linewidth(4)); |
| − | P = intersectionpoint(A--300*(A1-A)+A,D--300*(D1-D)+D);
| + | draw(A--B^^B--D^^C--B); |
| − | Q = intersectionpoint(B--300*(B1-B)+B,C--300*(C1-C)+C);
| |
| − | draw(anglemark(P,A,B,1000),red);
| |
| − | draw(anglemark(D,A,P,1000),red);
| |
| − | draw(anglemark(A,B,Q,1000),red);
| |
| − | draw(anglemark(Q,B,C,1000),red);
| |
| − | draw(anglemark(P,D,A,1000),red);
| |
| − | draw(anglemark(C,D,P,1000),red);
| |
| − | draw(anglemark(Q,C,D,1000),red);
| |
| − | draw(anglemark(B,C,Q,1000),red);
| |
| − | add(pathticks(anglemark(P,A,B,1000), n = 1, r = 0.15, s = 750, red));
| |
| − | add(pathticks(anglemark(D,A,P,1000), n = 1, r = 0.15, s = 750, red));
| |
| − | add(pathticks(anglemark(A,B,Q,1000), n = 1, r = 0.15, s = 750, red));
| |
| − | add(pathticks(anglemark(Q,B,C,1000), n = 1, r = 0.15, s = 750, red));
| |
| − | add(pathticks(anglemark(P,D,A,1000), n = 2, r = 0.12, spacing = 150, s = 750, red));
| |
| − | add(pathticks(anglemark(C,D,P,1000), n = 2, r = 0.12, spacing = 150, s = 750, red));
| |
| − | add(pathticks(anglemark(Q,C,D,1000), n = 2, r = 0.12, spacing = 150, s = 750, red));
| |
| − | add(pathticks(anglemark(B,C,Q,1000), n = 2, r = 0.12, spacing = 150, s = 750, red));
| |
| − | dot("$A$",A,1.5*dir(A),linewidth(4));
| |
| − | dot("$B$",B,1.5*dir(B),linewidth(4)); | |
| − | dot("$C$",C,1.5*dir(C),linewidth(4)); | |
| − | dot("$D$",D,1.5*dir(D),linewidth(4)); | |
| − | dot("$P$",P,1.5*NE,linewidth(4));
| |
| − | dot("$Q$",Q,1.5*NW,linewidth(4));
| |
| − | draw(A--B--C--D--cycle^^A--P--D^^B--Q--C^^P--Q); | |
| − | label("$500$",midpoint(A--B),1.25N);
| |
| − | label("$650$",midpoint(C--D),1.25S);
| |
| − | label("$333$",midpoint(A--D),1.25W);
| |
| − | label("$333$",midpoint(B--C),1.25E);
| |
| | </asy> | | </asy> |
![[asy] /* Made by MRENTHUSIASM */ size(300); pair A, B, C, D; A = (-400,100); B = (0,100); C = (400,100); D = (0,-300); dot("$\hat{f}(i-1,j)$",A,1.5*dir(A),linewidth(4)); dot("$\hat{f}(i,j)$",B,1.5*dir(B),linewidth(4)); dot("$\hat{f}(i+1,j)$",C,1.5*dir(C),linewidth(4)); dot("$\hat{f}(i,j+1)$",D,1.5*dir(D),linewidth(4)); draw(A--B^^B--D^^C--B); [/asy]](http://latex.artofproblemsolving.com/e/5/6/e56fd201fca66b1dbc346b193bd791ee5d6f548a.png)
