Difference between revisions of "User:Annoyingpi"
Annoyingpi (talk | contribs) (New page: <asy> draw((0,0)--(5,12)); draw((5,12)--(8,12)); draw((0,0)--(13,0)); draw((5,12)--(5,0)); draw((8,12)--(13,0)); draw((8,12)--(8,0)); dot((5,12)); dot((8,12)); dot((13,0)); dot((0,0)); lab...) |
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| + | <asy> | ||
| + | dot((-1,0)); | ||
| + | dot((1,0)); | ||
| + | dot((0,1.5)); | ||
| + | dot((0,-1.5)); | ||
| + | dot((0.3,0.3)); | ||
| + | |||
| + | |||
| + | draw((1,0)--(0,1.5)--(-1,0)--(0,-1.5)--cycle); | ||
| + | |||
| + | label("$P_1$",(-1,0),W); | ||
| + | label("$P_2$",(1,0),E); | ||
| + | label("$Q_1$",(0,1.5),N); | ||
| + | label("$Q_2$",(0,-1.5),S); | ||
| + | label("$X$",(0.3,0.3),SW); | ||
| + | </asy> | ||
| + | |||
| + | |||
| + | <asy> | ||
| + | draw((0,0)--(0,2)--(2,2)--(2,0)--cycle); | ||
| + | draw((0,0)--(0,1)--(1,0)--cycle); | ||
| + | draw((0,0)--(0,2)--(1,2)--cycle); | ||
| + | draw((0,0)--(2,0)--(2,1)--cycle); | ||
| + | fill((0,0)--(0,1)--(1,0)--cycle,gray); | ||
| + | fill((0,0)--(0,2)--(1,2)--cycle,gray); | ||
| + | fill((0,0)--(2,0)--(2,1)--cycle,gray); | ||
| + | |||
| + | label("0",(0,0),SW); | ||
| + | label("1",(0,1),W); | ||
| + | label("2",(0,2),NW); | ||
| + | label("1",(1,0),S); | ||
| + | label("2",(2,0),SE); | ||
| + | </asy> | ||
| + | |||
| + | <asy> | ||
| + | draw((0,0)--(5,12)); | ||
| + | draw((5,12)--(8,12)); | ||
| + | draw((0,0)--(13,0)); | ||
| + | draw((8,12)--(13,0)); | ||
| + | draw((5/3,4)--(13/3,0)); | ||
| + | draw((13-5/3,4)--(13-13/3,0)); | ||
| + | draw((10/3,8)--(6,12)); | ||
| + | draw((7,12)--(13-10/3,8)); | ||
| + | |||
| + | dot((5,12)); | ||
| + | dot((8,12)); | ||
| + | dot((13,0)); | ||
| + | dot((0,0)); | ||
| + | |||
| + | dot((5/3,4)); | ||
| + | dot((13/3,0)); | ||
| + | dot((13-5/3,4)); | ||
| + | dot((13-13/3,0)); | ||
| + | dot((10/3,8)); | ||
| + | dot((13-10/3,8)); | ||
| + | dot((6,12)); | ||
| + | dot((7,12)); | ||
| + | |||
| + | dot((6+1/3,12)); | ||
| + | dot((7-1/3,12)); | ||
| + | |||
| + | dot((5/3+5/9,4+4/3)); | ||
| + | dot((5/3+10/9,4+8/3)); | ||
| + | |||
| + | dot((13-5/3-5/9,4+4/3)); | ||
| + | dot((13-5/3-10/9,4+8/3)); | ||
| + | |||
| + | dot((13/3 + 26/9,0)); | ||
| + | dot((13/3 + 13/9,0)); | ||
| + | |||
| + | label("A",(5,12),NW); | ||
| + | label("B",(8,12),NE); | ||
| + | label("C",(13,0),SE); | ||
| + | label("D",(0,0),SW); | ||
| + | </asy> | ||
| + | |||
| + | |||
| + | |||
<asy> | <asy> | ||
draw((0,0)--(5,12)); | draw((0,0)--(5,12)); | ||
| Line 10: | Line 88: | ||
dot((13,0)); | dot((13,0)); | ||
dot((0,0)); | dot((0,0)); | ||
| + | dot((5,0)); | ||
| + | dot((8,0)); | ||
label("A",(5,12),NW); | label("A",(5,12),NW); | ||
label("B",(8,12),NE); | label("B",(8,12),NE); | ||
label("C",(13,0),SE); | label("C",(13,0),SE); | ||
label("D",(0,0),SW); | label("D",(0,0),SW); | ||
| + | label("M",(5,0),S); | ||
| + | label("N",(8,0),S); | ||
| + | label("13",(2.5,6),NW); | ||
| + | label("13",(11.5,6),NE); | ||
| + | label("13",(6.5,-1),S); | ||
| + | label("3",(6.5,12),N); | ||
| + | label("12",(5,6),W); | ||
| + | label("12",(8,6),E); | ||
| + | label("5",(2.5,0),N); | ||
| + | label("5",(10.5,0),N); | ||
</asy> | </asy> | ||
Latest revision as of 00:30, 10 December 2008
![[asy] dot((-1,0)); dot((1,0)); dot((0,1.5)); dot((0,-1.5)); dot((0.3,0.3)); draw((1,0)--(0,1.5)--(-1,0)--(0,-1.5)--cycle); label("$P_1$",(-1,0),W); label("$P_2$",(1,0),E); label("$Q_1$",(0,1.5),N); label("$Q_2$",(0,-1.5),S); label("$X$",(0.3,0.3),SW); [/asy]](http://latex.artofproblemsolving.com/0/c/c/0cc3bea71581b945db353b923ad39dcdfb561ec2.png)
![[asy] draw((0,0)--(0,2)--(2,2)--(2,0)--cycle); draw((0,0)--(0,1)--(1,0)--cycle); draw((0,0)--(0,2)--(1,2)--cycle); draw((0,0)--(2,0)--(2,1)--cycle); fill((0,0)--(0,1)--(1,0)--cycle,gray); fill((0,0)--(0,2)--(1,2)--cycle,gray); fill((0,0)--(2,0)--(2,1)--cycle,gray); label("0",(0,0),SW); label("1",(0,1),W); label("2",(0,2),NW); label("1",(1,0),S); label("2",(2,0),SE); [/asy]](http://latex.artofproblemsolving.com/3/0/a/30a2f3d0fad996ac51c6e5c23b8e90a93b7e30f2.png)
![[asy] draw((0,0)--(5,12)); draw((5,12)--(8,12)); draw((0,0)--(13,0)); draw((8,12)--(13,0)); draw((5/3,4)--(13/3,0)); draw((13-5/3,4)--(13-13/3,0)); draw((10/3,8)--(6,12)); draw((7,12)--(13-10/3,8)); dot((5,12)); dot((8,12)); dot((13,0)); dot((0,0)); dot((5/3,4)); dot((13/3,0)); dot((13-5/3,4)); dot((13-13/3,0)); dot((10/3,8)); dot((13-10/3,8)); dot((6,12)); dot((7,12)); dot((6+1/3,12)); dot((7-1/3,12)); dot((5/3+5/9,4+4/3)); dot((5/3+10/9,4+8/3)); dot((13-5/3-5/9,4+4/3)); dot((13-5/3-10/9,4+8/3)); dot((13/3 + 26/9,0)); dot((13/3 + 13/9,0)); label("A",(5,12),NW); label("B",(8,12),NE); label("C",(13,0),SE); label("D",(0,0),SW); [/asy]](http://latex.artofproblemsolving.com/e/a/d/ead8a4738a16d570f97b9c23b183285f1e0a54c3.png)
![[asy] draw((0,0)--(5,12)); draw((5,12)--(8,12)); draw((0,0)--(13,0)); draw((5,12)--(5,0)); draw((8,12)--(13,0)); draw((8,12)--(8,0)); dot((5,12)); dot((8,12)); dot((13,0)); dot((0,0)); dot((5,0)); dot((8,0)); label("A",(5,12),NW); label("B",(8,12),NE); label("C",(13,0),SE); label("D",(0,0),SW); label("M",(5,0),S); label("N",(8,0),S); label("13",(2.5,6),NW); label("13",(11.5,6),NE); label("13",(6.5,-1),S); label("3",(6.5,12),N); label("12",(5,6),W); label("12",(8,6),E); label("5",(2.5,0),N); label("5",(10.5,0),N); [/asy]](http://latex.artofproblemsolving.com/c/3/2/c32ab0350f79fd4a3158a7614d1a894232ebd0dc.png)
