https://artofproblemsolving.com/wiki/api.php?action=feedcontributions&user=Zhuzhu88&feedformat=atomAoPS Wiki - User contributions [en]2021-05-12T08:51:49ZUser contributionsMediaWiki 1.31.1https://artofproblemsolving.com/wiki/index.php?title=North_Dakota_mathematics_competitions&diff=42688North Dakota mathematics competitions2011-10-24T21:24:44Z<p>Zhuzhu88: </p>
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<div>== North Dakota middle school mathematics competitions==<br />
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[[AoPS]] hosts [http://www.artofproblemsolving.com/Forum/index.php?f=298 middle school math forums] where students can discuss contest problems and mathematics.<br />
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* [[North Dakota MathCounts]] is part of the national [[MathCounts]] competition. <br />
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== North Dakota high school mathematics competitions==<br />
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[[AoPS]] hosts [http://www.artofproblemsolving.com/Forum/index.php?f=214 high school math forums] where students can discuss contest problems and mathematics.<br />
You can join North Dakota High School Math Competitions.<br />
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== National math contests ==<br />
* [[List of United States elementary school mathematics competitions]] for national contests.<br />
* [[List of United States middle school mathematics competitions]] for national contests.<br />
* [[List of United States high school mathematics competitions]] for national contests.<br />
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== See also ==<br />
* [[List of mathematics competitions]]<br />
* [[Mathematics competitions resources]]</div>Zhuzhu88https://artofproblemsolving.com/wiki/index.php?title=Peninsula_South_Bay_ARML&diff=42687Peninsula South Bay ARML2011-10-24T21:21:41Z<p>Zhuzhu88: </p>
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<div>Peninsula South Bay ARML was a Southern California team that competed from 1995 through 2002. The "Peninsula" in the title refers to the Palos Verdes Peninsula, and most members of the team were students at Palos Verdes Peninsula High School. The team was founded by Lauren Williams, who was herself a high school student at the time.<br />
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The highest finish in the team's history was in 2000, when it tied for first place in Division B. The team that year consisted of 14 students from Palos Verdes Peninsula HS and one student from Long Beach Poly HS.<br />
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This team last competed under this name in 2002. Since that time several students at PV Peninsula HS have competed as members of the [[Southern California ARML]] team, which meets at Southern California University.<br />
[[Category:ARML teams]]</div>Zhuzhu88https://artofproblemsolving.com/wiki/index.php?title=North_Carolina_MathCounts&diff=42686North Carolina MathCounts2011-10-24T21:16:51Z<p>Zhuzhu88: Undo revision 42685 by Zhuzhu88 (talk)</p>
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<div>North Carolina often fields a top 10 team at national [[MathCounts]] competitions. In recent years, [[Harold Reiter]] has organized practice sessions for the national teams from NC and SC at the [[University of North Carolina at Charlotte]]. <br />
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The top four students from the written round at the state competition are selected for the national team. The coach of the winning school team is offered the opportunity to coach the state team at the national competition.<br />
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== National Team Awards and Placement ==<br />
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* 2011 4th<br />
* 2009 8th<br />
* 2007 8th<br />
* 2006 9th<br />
* 2005 10th<br />
* 2003 5th<br />
* 1998 5th<br />
* 1989 1st<br />
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== NC State Team Champions ==<br />
* 2010 - Ligon Middle School, Raleigh<br />
* 2009 - Ligon Middle School, Raleigh<br />
* 2008 - Ligon Middle School, Raleigh<br />
* 2007 - Arendell Parrott Academy, Kinston<br />
* 2006 - Martin Middle School, Raleigh<br />
* 2005 - [http://web2k.wsfcs.k12.nc.us/hanesms/academics/mcounts.htm Hanes Middle School], Winston-Salem<br />
* 2004 - Ligon Middle School, Raleigh<br />
* 2003 - Guy B. Phillips Middle School, Chapel Hill<br />
* 2002 - Martin Middle School, Raleigh<br />
* 2001 - Ligon Middle School, Raleigh<br />
* 2000 - Durham School of Arts, Durham<br />
* 1999 - Martin Middle School, Raleigh<br />
* 1998 - Charlotte Latin, Charlotte<br />
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* 1987 - Charlotte Latin, Charlotte<br />
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== NC State Team Members (top 57 placement) ==<br />
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* 2009 - Calvin Deng (4), Jeffrey An (31), Remy Lee (52), Yu Wang, Coach: Rohan Lewis<br />
* 2008 - Calvin Deng (21), Allen Yang (38), Nick Tobey (40), Connie Zhou, Coach: Rohan Lewis<br />
* 2007 - Jenny Chen (35), Gray Symon (37), Brendan Fletcher (44), David Lucia, Coach: Tonya McLawhorn<br />
* 2006 - Eric "Pom" McCabe (22), Brendan Fletcher, Gray Symon (48), Akash Ganapathi, Coach: Linda Harvel (Southern Middle)<br />
* 2005 - Eric "Pom" McCabe (13), John Berman (45), Bryce Taylor, Kevin Lang, Coach: Greg Taylor<br />
* 2004 - Ray Wang (44), Vivek Bhattacharya, Matthew Adams, Kevin Lang, Coach: Cathy Whelan<br />
* 2003 - Arnav Tripathy (6), Mikhail Lavrov (16), Michael Lin, Vivek Bhattacharya, Coach: Marla McCrea<br />
* 2002 - Mikhail Lavrov, Chris Hoersting, Sunny Xi, Amy Wen, Coach: Jeanette Rojeski<br />
* 2001 - Jeremy Diepenbrock, Jeff Tang, Paul Huang, Sunny Xi, Coach: Pat Heald<br />
* 2000 - John Shoun, Larry Wise, Charles Yu, Justin Lo, Coach: Robin Barbour<br />
* 1999 - Morgan Brown, Edward Su, Jonathan Campbell, Don Swartz, Coach: Lucy Kay<br />
* 1998 - Anders Kaseorg (17), Paul Wrayno, Eric Sundstrom (38), Chris Goulette, Coach: Caroline Wolfe<br />
* 1997 - Anders Kaseorg,?,?,?<br />
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* 1989 - Lenny Ng (1),?,?,?<br />
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* 1987 - Ashley Reiter (3),?,?,?, Coach: Caroline Wolfe<br />
* 1986 - Jeff VanderKam (2),?,?,?</div>Zhuzhu88https://artofproblemsolving.com/wiki/index.php?title=North_Carolina_MathCounts&diff=42685North Carolina MathCounts2011-10-24T21:16:32Z<p>Zhuzhu88: </p>
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<div>North Carolina often fields a top 10 team at national [[MathCounts]] competitions. In recent years, [[Harold Reiter]] has organized practice sessions for the national teams from NC and SC at the [[University of North Carolina at Charlotte]]. <br />
<br />
The top four students from the written round at the state competition are selected for the national team. The coach of the winning school team is offered the opportunity to coach the state team at the national competition.<br />
<br />
<br />
== National Team Awards and Placement ==<br />
<br />
* 2011 4th<br />
* 2009 8th<br />
* 2007 8th<br />
* 2006 9th<br />
* 2005 10th<br />
* 2003 5th<br />
* 1998 5th<br />
* 1989 1st<br />
<br />
== NC State Team Champions ==<br />
<br />
* 2009 - Ligon Middle School, Raleigh<br />
* 2008 - Ligon Middle School, Raleigh<br />
* 2007 - Arendell Parrott Academy, Kinston<br />
* 2006 - Martin Middle School, Raleigh<br />
* 2005 - [http://web2k.wsfcs.k12.nc.us/hanesms/academics/mcounts.htm Hanes Middle School], Winston-Salem<br />
* 2004 - Ligon Middle School, Raleigh<br />
* 2003 - Guy B. Phillips Middle School, Chapel Hill<br />
* 2002 - Martin Middle School, Raleigh<br />
* 2001 - Ligon Middle School, Raleigh<br />
* 2000 - Durham School of Arts, Durham<br />
* 1999 - Martin Middle School, Raleigh<br />
* 1998 - Charlotte Latin, Charlotte<br />
<br />
* 1987 - Charlotte Latin, Charlotte<br />
<br />
== NC State Team Members (top 57 placement) ==<br />
<br />
* 2009 - Calvin Deng (4), Jeffrey An (31), Remy Lee (52), Yu Wang, Coach: Rohan Lewis<br />
* 2008 - Calvin Deng (21), Allen Yang (38), Nick Tobey (40), Connie Zhou, Coach: Rohan Lewis<br />
* 2007 - Jenny Chen (35), Gray Symon (37), Brendan Fletcher (44), David Lucia, Coach: Tonya McLawhorn<br />
* 2006 - Eric "Pom" McCabe (22), Brendan Fletcher, Gray Symon (48), Akash Ganapathi, Coach: Linda Harvel (Southern Middle)<br />
* 2005 - Eric "Pom" McCabe (13), John Berman (45), Bryce Taylor, Kevin Lang, Coach: Greg Taylor<br />
* 2004 - Ray Wang (44), Vivek Bhattacharya, Matthew Adams, Kevin Lang, Coach: Cathy Whelan<br />
* 2003 - Arnav Tripathy (6), Mikhail Lavrov (16), Michael Lin, Vivek Bhattacharya, Coach: Marla McCrea<br />
* 2002 - Mikhail Lavrov, Chris Hoersting, Sunny Xi, Amy Wen, Coach: Jeanette Rojeski<br />
* 2001 - Jeremy Diepenbrock, Jeff Tang, Paul Huang, Sunny Xi, Coach: Pat Heald<br />
* 2000 - John Shoun, Larry Wise, Charles Yu, Justin Lo, Coach: Robin Barbour<br />
* 1999 - Morgan Brown, Edward Su, Jonathan Campbell, Don Swartz, Coach: Lucy Kay<br />
* 1998 - Anders Kaseorg (17), Paul Wrayno, Eric Sundstrom (38), Chris Goulette, Coach: Caroline Wolfe<br />
* 1997 - Anders Kaseorg,?,?,?<br />
<br />
* 1989 - Lenny Ng (1),?,?,?<br />
<br />
* 1987 - Ashley Reiter (3),?,?,?, Coach: Caroline Wolfe<br />
* 1986 - Jeff VanderKam (2),?,?,?</div>Zhuzhu88https://artofproblemsolving.com/wiki/index.php?title=User:Zhuzhu88&diff=42283User:Zhuzhu882011-09-10T20:14:01Z<p>Zhuzhu88: Created page with "Zhuzhu88 is AOPS member. Writes ZhuZhuBlog. Does math Problems. Lives in Australia. Favorite teacher is Copeland."</p>
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<div>Zhuzhu88 is AOPS member. Writes ZhuZhuBlog. Does math Problems. Lives in Australia. Favorite teacher is Copeland.</div>Zhuzhu88https://artofproblemsolving.com/wiki/index.php?title=2003_AMC_12A_Problems/Problem_19&diff=414842003 AMC 12A Problems/Problem 192011-08-15T14:22:26Z<p>Zhuzhu88: /* Solution */</p>
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<div>==Problem==<br />
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==Solution==<br />
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If we take the parabola <math>ax^2 + bx + c</math> and reflect it over the x - axis, we have the parabola <math>-ax^2 - bx - c</math>. Without loss of generality, let us say that the parabola is translated 5 units to the left, and the reflection to the right. Then:<br />
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<cmath> \begin{align*} f(x) &= a(x+5)^2 + b(x+5) + c = ax^2 + (10a+b)x + 25a + 5b + c \\ g(x) &= -a(x-5)^2 - b(x-5) - c = -ax^2 + 10ax -bx - 25a + 5b - c \end{align*} </cmath> <br />
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Adding them up produces: <cmath> (f + g)(x) &= ax^2 + (10a+b)x + 25a + 5b + c - ax^2 + 10ax -bx - 25a + 5b - c &= 20ax + 10b </cmath> <br />
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This is a line with slope <math>20a</math>. Since <math>a</math> cannot be <math>0</math> (because <math>ax^2 + bx + c</math> would be a line) we end up with <math>\boxed{\textbf{(D)} \text{ a non-horizontal line }}</math></div>Zhuzhu88