2023 AIME II真題和答案已出爐，AIME I成績(jī)查詢開啟！

2023 AIME I 和 II 考試全部結(jié)束！一起來看看AIME II的真題和答案，看看自己答對(duì)幾題？

2023 AIME II 真題＆答案

AIME II 答案

T1 ??答案：220

T2 ??答案：585

T3 ??答案：250

T4 ??答案：273

T5 ??答案：719

T6 ??答案：035

T7 ??答案：928

T8 ??答案：024

T9 ??答案：033

T10 答案：144

T11 答案：081

T12 答案：247

T13 答案：167

T14 答案：751

T15 答案：363

總結(jié)：

此次AIME II共15題，考點(diǎn)分布與 I 類似，均包含了組合、代數(shù)、數(shù)論、幾何。

共有4道組合（6、7、10、11）、5道代數(shù)（1、4、5、8、13）、2道數(shù)論（2、15）、4道幾何（3、9、12、14）。

今年AIME I ＆ II 難度均有提升，更加突出對(duì)學(xué)生“綜合知識(shí)點(diǎn)”的考察，以及是否能夠靈活運(yùn)用不同思路解題。

完整版2023 AIME II真題+答案+視頻解析

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AIME II真題

Problem 1

The number of apples growing on any of the six trees is double the least number of apples growing on any o the six trees.

The total number of apples growing on all six trees is 990.?Find the?greatest number of apples growing on any of the six trees.

答案：220

Problem 2

Recall that a palindrome is a number that reads the same forward and backward.

Find the greatest integer less than 1000 that is a?palindrome both when written in base ten and when written in base eight,?such as 292= 444eight.

答案：585

Problem 3

LetΔABC be an isosceles triangle with angel A=90°. There exists a point P inside?ΔABC such that angel PAB= angel PBC = angel PCA and AP =10. Find?the area of ΔABC.

答案：250

Problem 4

Let x y, and z be real numbers satisfying the system of equations:

xy+4z=60

yz+4x=60

zx+4y=60

Let S be the set of possible values of x. Find the?sum of the squares of the elements of S.

答案：285

Problem 5

Let S be the set of all positive rational numbers r such that when the two numbers r and 55r are written as fractions in lowest terms, the sum of the numerator and denominator of one fraction is the same as the sum of the numerator and denominator of the other fraction.

The sum of all the elements of S can be expressed in the form p/, where p and q are relatively prime positive integers.?Find p + q.

答案：719

2023 AIME I 成績(jī)查詢

AMC-China已經(jīng)開啟AIME I卷成績(jī)查詢通道，考生們可以登錄官網(wǎng)查詢成績(jī)了！

ASDAN成績(jī)公布約在考后6-8周進(jìn)行，AIME II卷成績(jī)查詢與分?jǐn)?shù)線公布信息，我們會(huì)持續(xù)跟進(jìn)，為同學(xué)們及時(shí)提供最新消息。