https://live.poshenloh.com/zh/past-contests/amc10/2016B/problem/19
2016 AMC 10B 第 19 题详解 | LIVE by Po-Shen Loh
2016 AMC 10B 第 19 题:长方形 ABCD 中, AB=5 , BC=4 。点 E 在 \overlineAB 上且 EB=1 ,点 G 在 \overlineBC 上且 CG=1 ,点 F 在 \overlineCD 上且 DF=2 。线段 \overlineAG… 答案与完整解答由 LIVE by...
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https://live.poshenloh.com/zh/past-contests/amc12/1969
1969 AMC 12 真题与在线限时测验 | LIVE by Po-Shen Loh
在线免费限时作答1969 AMC 12真题,作答后即可核对答案;试题经 MAA 官方授权,解答由 LIVE by Po-Shen Loh 精心整理。
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https://live.poshenloh.com/zh/past-contests/amc10/2016A/problem/10
2016 AMC 10A 第 10 题详解 | LIVE by Po-Shen Loh
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https://live.poshenloh.com/past-contests/amc12/1997/problem/17
1997 AMC 12 Problem 17 — Solution | LIVE by Po-Shen Loh
1997 AMC 12 Problem 17: A line x=k intersects the graph of y=\log_5x and the graph of y=\log_5(x+4). The distance between the points of intersec… Answer and...
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https://live.poshenloh.com/past-contests/amc12/1982/problem/4
1982 AMC 12 Problem 4 — Solution | LIVE by Po-Shen Loh
1982 AMC 12 Problem 4: The perimeter of a semicircular region, measured in centimeters, is numerically equal to its area, measured in square ce… Answer and...
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https://live.poshenloh.com/past-contests/amc12/2022B/problem/6
2022 AMC 12B Problem 6 — Solution | LIVE by Po-Shen Loh
2022 AMC 12B Problem 6: Consider the following 100 sets of 10 elements each: \1,2,3,…,10\, \11,12,13,…,20\, \21,22,23,…,30\, \vdots \991,992,993… Answer and...
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https://live.poshenloh.com/past-contests/amc12/1984/problem/14
1984 AMC 12 Problem 14 — Solution | LIVE by Po-Shen Loh
1984 AMC 12 Problem 14: The product of all real roots of the equation x^\log_10x=10 is Answer and full solution curated by LIVE by Po-Shen Loh.
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https://live.poshenloh.com/past-contests/aime/2023II/problem/12
2023 AIME II Problem 12 — Solution | LIVE by Po-Shen Loh
2023 AIME II Problem 12: In \triangle ABC with side lengths AB = 13, BC = 14, and CA = 15, let M be the midpoint of \overlineBC. Let P be the poi… Answer and...
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https://live.poshenloh.com/past-contests/aime/2009I/problem/7
2009 AIME I Problem 7 — Solution | LIVE by Po-Shen Loh
2009 AIME I Problem 7: The sequence (a_n) satisfies a_1 = 1 and 5^(a_n+1 - a_n) - 1 = \frac1n + (2)/(3) for n ≥ 1. Let k be the least integer g… Answer and...
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https://live.poshenloh.com/zh/past-contests/amc12/1954
1954 AMC 12 真题与在线限时测验 | LIVE by Po-Shen Loh
在线免费限时作答1954 AMC 12真题,作答后即可核对答案;试题经 MAA 官方授权,解答由 LIVE by Po-Shen Loh 精心整理。
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https://live.poshenloh.com/es/past-contests/amc10/2003B/problem/7
2003 AMC 10B Problema 7 — Solución | LIVE by Po-Shen Loh
2003 AMC 10B Problema 7: El símbolo \lfloor x \rfloor denota el mayor entero que no supera a x. Por ejemplo, \lfloor 3 \rfloor = 3, y \lfloor (9)… Respuesta y...
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https://live.poshenloh.com/past-contests/amc12/2025B/problem/22
2025 AMC 12B Problem 22 — Solution | LIVE by Po-Shen Loh
2025 AMC 12B Problem 22: What is the greatest possible area of the triangle in the complex plane with vertices 2z, (1+i)z, and (1-i)z, where z is… Answer and...
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https://live.poshenloh.com/past-contests/amc10/2016B/problem/19
2016 AMC 10B Problem 19 — Solution | LIVE by Po-Shen Loh
2016 AMC 10B Problem 19: Rectangle ABCD has AB=5 and BC=4. Point E lies on \overlineAB so that EB=1, point G lies on \overlineBC so that CG=1, an… Answer and...
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https://live.poshenloh.com/es/past-contests/amc10/2009B/problem/8
2009 AMC 10B Problema 8 — Solución | LIVE by Po-Shen Loh
2009 AMC 10B Problema 8: En cierto año, el precio de la gasolina subió 20% durante enero, bajó 20% durante febrero, subió 25% durante marzo y baj… Respuesta y...
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https://live.poshenloh.com/past-contests/aime/2014II/problem/6
2014 AIME II Problem 6 — Solution | LIVE by Po-Shen Loh
2014 AIME II Problem 6: Charles has two six-sided dice. One of the dice is fair, and the other die is biased so that it comes up six with probab… Answer and...
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https://live.poshenloh.com/past-contests/amc12/2015A/problem/24
2015 AMC 12A Problem 24 — Solution | LIVE by Po-Shen Loh
2015 AMC 12A Problem 24: Rational numbers a and b are chosen at random among all rational numbers in the interval [0, 2) that can be written as f… Answer and...
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https://live.poshenloh.com/past-contests/amc12/1989/problem/14
1989 AMC 12 Problem 14 — Solution | LIVE by Po-Shen Loh
1989 AMC 12 Problem 14: \cot10+\tan5= Answer and full solution curated by LIVE by Po-Shen Loh.
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https://live.poshenloh.com/past-contests/aime/1995/problem/13
1995 AIME Problem 13 — Solution | LIVE by Po-Shen Loh
1995 AIME Problem 13: Let f(n) be the integer closest to √[4]n. Find \sum_k=1^1995\frac1f(k). Answer and full solution curated by LIVE by Po-Shen Loh.
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https://live.poshenloh.com/past-contests/amc10/2016A/problem/3
2016 AMC 10A Problem 3 — Solution | LIVE by Po-Shen Loh
2016 AMC 10A Problem 3: For every dollar Ben spent on bagels, David spent 25 cents less. Ben paid $12.50 more than David. How much did they spen… Answer and...
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https://live.poshenloh.com/past-contests/amc12/1994/problem/16
1994 AMC 12 Problem 16 — Solution | LIVE by Po-Shen Loh
1994 AMC 12 Problem 16: Some marbles in a bag are red and the rest are blue. If one red marble is removed, then one-seventh of the remaining mar… Answer and...
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https://live.poshenloh.com/es/past-contests/aime/1994/problem/6
1994 AIME Problema 6 — Solución | LIVE by Po-Shen Loh
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https://live.poshenloh.com/past-contests/amc12/1956/problem/1
1956 AMC 12 Problem 1 — Solution | LIVE by Po-Shen Loh
1956 AMC 12 Problem 1: The value of x+x(x^x) when x=2 is: Answer and full solution curated by LIVE by Po-Shen Loh.
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https://live.poshenloh.com/past-contests/aime/2026II/problem/1
2026 AIME II Problem 1 — Solution | LIVE by Po-Shen Loh
2026 AIME II Problem 1: Find the sum of the 10 th terms of all arithmetic sequences of integers that have first term equal to 4 and include both… Answer and...
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https://live.poshenloh.com/zh/past-contests/amc8/2000/answers
2000 AMC 8 答案 | LIVE by Po-Shen Loh
完整的2000 AMC 8答案,并附由 LIVE by Po-Shen Loh 精心整理的完整文字解答链接。
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https://live.poshenloh.com/past-contests/aime/1997/problem/11
1997 AIME Problem 11 — Solution | LIVE by Po-Shen Loh
1997 AIME Problem 11: Let x = \frac\sum_n=1^44 \cos n°\sum_n=1^44 \sin n°. What is the greatest integer that does not exceed 100x? Answer and full solution...
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https://live.poshenloh.com/es/past-contests/amc8/2025/problem/6
2025 AMC 8 Problema 6 — Solución y video | LIVE by Po-Shen Loh
2025 AMC 8 Problema 6: Sekou escribe los números 15, 16, 17, 18, 19. Después de borrar uno de los números, la suma de los cuatro números restan… Respuesta y...
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https://live.poshenloh.com/past-contests/aime/2016II/problem/5
2016 AIME II Problem 5 — Solution | LIVE by Po-Shen Loh
2016 AIME II Problem 5: Triangle ABC_0 has a right angle at C_0. Its side lengths are pairwise relatively prime positive integers, and its perim… Answer and...
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https://live.poshenloh.com/zh/past-contests/amc10/2011A/problem/18
2011 AMC 10A 第 18 题详解 | LIVE by Po-Shen Loh
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https://live.poshenloh.com/past-contests/amc12/1955/problem/24
1955 AMC 12 Problem 24 — Solution | LIVE by Po-Shen Loh
1955 AMC 12 Problem 24: The function 4x^2-12x-1: Answer and full solution curated by LIVE by Po-Shen Loh.
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https://live.poshenloh.com/past-contests/amc8/2006/problem/3
2006 AMC 8 Problem 3 — Solution | LIVE by Po-Shen Loh
2006 AMC 8 Problem 3: Elisa swims laps in the pool. When she first started, she completed 10 laps in 25 minutes. Now, she can finish 12 laps i… Answer and full...
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https://live.poshenloh.com/past-contests/amc12/2021C/problem/5
2021 AMC 12A Fall Problem 5 — Solution | LIVE by Po-Shen Loh
2021 AMC 12A Fall Problem 5: Elmer the emu takes 44 equal strides to walk between consecutive telephone poles on a rural road. Oscar the ostrich can… Answer...
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https://live.poshenloh.com/past-contests/amc12/2006B/problem/1
2006 AMC 12B Problem 1 — Solution | LIVE by Po-Shen Loh
2006 AMC 12B Problem 1: What is (-1)^1 + (-1)^2 + \cdots + (-1)^2006? Answer and full solution curated by LIVE by Po-Shen Loh.
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https://live.poshenloh.com/zh/past-contests/amc10/2022A/problem/18
2022 AMC 10A 第 18 题详解 | LIVE by Po-Shen Loh
2022 AMC 10A 第 18 题:设 T_k 是平面坐标变换:先将平面绕原点逆时针旋转 k 度,再关于 y 轴反射。求最小的正整数 n ,使得依次执行变换 T_1 , T_2 , T_3 , \cdots , T_n 后,点 (1,0) 回到自身。 答案与完整解答由 LIVE by Po-Shen Loh...
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https://live.poshenloh.com/zh/past-contests/amc12/1980
1980 AMC 12 真题与在线限时测验 | LIVE by Po-Shen Loh
在线免费限时作答1980 AMC 12真题,作答后即可核对答案;试题经 MAA 官方授权,解答由 LIVE by Po-Shen Loh 精心整理。
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https://live.poshenloh.com/zh/past-contests/amc12/2002A/problem/15
2002 AMC 12A 第 15 题详解 | LIVE by Po-Shen Loh
2002 AMC 12A 第 15 题:一组八个整数的平均数、中位数、唯一众数和极差都等于 8 。这组数中可能出现的最大整数是多少? 答案与完整解答由 LIVE by Po-Shen Loh 精心整理。
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https://live.poshenloh.com/past-contests/aime/1998/problem/12
1998 AIME Problem 12 — Solution | LIVE by Po-Shen Loh
1998 AIME Problem 12: Let ABC be equilateral, and D, E, and F be the midpoints of \overlineBC, \overlineCA, and \overlineAB, respectively. The… Answer and full...
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https://live.poshenloh.com/past-contests/amc12/2009A/problem/17
2009 AMC 12A Problem 17 — Solution | LIVE by Po-Shen Loh
2009 AMC 12A Problem 17: Let a + ar_1 + ar_1^2 + ar_1^3 + \cdots and a + ar_2 + ar_2^2 + ar_2^3 + \cdots be two different infinite geometric seri… Answer and...
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https://live.poshenloh.com/zh/past-contests/amc10/2014A/problem/10
2014 AMC 10A 第 10 题详解 | LIVE by Po-Shen Loh
2014 AMC 10A 第 10 题:从 a 开始的五个连续正整数的平均数为 b 。从 b 开始的 5 个连续整数的平均数是多少? 答案与完整解答由 LIVE by Po-Shen Loh 精心整理。
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https://live.poshenloh.com/zh/past-contests/amc10/2010B/problem/19
2010 AMC 10B 第 19 题详解 | LIVE by Po-Shen Loh
2010 AMC 10B 第 19 题:圆心为 O 的圆面积为 156π 。三角形 ABC 是等边三角形, \overlineBC 是圆的一条弦, OA = 4√3 ,且点 O 在 \triangle ABC 外。求 \triangle ABC 的边长。 答案与完整解答由 LIVE by Po-Shen Loh...
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https://live.poshenloh.com/zh/past-contests/amc10/2004A/problem/12
2004 AMC 10A 第 12 题详解 | LIVE by Po-Shen Loh
2004 AMC 10A 第 12 题:Henry’s Hamburger Heaven 提供以下汉堡配料:番茄酱、芥末酱、蛋黄酱、番茄、生菜、腌黄瓜、奶酪和洋葱。顾客可以选择一块、两块或三块肉饼,并可选择任意一组配料。共有多少种不同的汉堡可以点? 答案与完整解答由 LIVE by Po-Shen Loh 精心整理。
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https://live.poshenloh.com/past-contests/aime/2011I/problem/7
2011 AIME I Problem 7 — Solution | LIVE by Po-Shen Loh
2011 AIME I Problem 7: Find the number of positive integers m for which there exist nonnegative integers x_0, x_1, …, x_2011, such that m^x_0 =… Answer and...
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https://live.poshenloh.com/past-contests/amc10/2015A/problem/5
2015 AMC 10A Problem 5 — Solution | LIVE by Po-Shen Loh
2015 AMC 10A Problem 5: Mr. Patrick teaches math to 15 students. He was grading tests and found that when he graded everyone’s test except Payto… Answer and...
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https://live.poshenloh.com/zh/past-contests/concepts/sum-of-first-n-cubes
前n项立方和 AMC 与 AIME 真题 | LIVE by Po-Shen Loh
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https://live.poshenloh.com/past-contests/amc12/1985/problem/5
1985 AMC 12 Problem 5 — Solution | LIVE by Po-Shen Loh
1985 AMC 12 Problem 5: Which terms must be removed from the sum \frac12+\frac14+\frac16+\frac18+\frac110+\frac112 if the sum of the remaining t… Answer and...
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https://live.poshenloh.com/zh/past-contests/amc10/2023A/problem/21
2023 AMC 10A 第 21 题详解 | LIVE by Po-Shen Loh
2023 AMC 10A 第 21 题:存在一个首项系数为 1 、次数最小且唯一的多项式 P(x) ,满足以下所有条件: 1 是 P(x) - 1 的一个根, 2 是 P(x - 2) 的一个根, 3 是 P(3x) 的一个根,且 4 是 4P(x) 的一个根。 除一个根外, P… 答案与完整解答由 LIVE by...
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https://live.poshenloh.com/zh/past-contests/aime/1984
1984 AIME 真题与在线限时测验 | LIVE by Po-Shen Loh
在线免费限时作答1984 AIME真题,作答后即可核对答案;试题经 MAA 官方授权,解答由 LIVE by Po-Shen Loh 精心整理。
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https://live.poshenloh.com/past-contests/amc10/2019B/problem/2
2019 AMC 10B Problem 2 — Solution | LIVE by Po-Shen Loh
2019 AMC 10B Problem 2: Consider the statement, “If n is not prime, then n-2 is prime.” Which of the following values of n is a counterexample t… Answer and...
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https://live.poshenloh.com/past-contests/amc12/2002A/problem/15
2002 AMC 12A Problem 15 — Solution | LIVE by Po-Shen Loh
2002 AMC 12A Problem 15: The mean, median, unique mode, and range of a collection of eight integers are all equal to 8. The largest integer that… Answer and...
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