2023 AIME II真题和答案已出炉，AIME I成绩查询开启！

2023 AIME I 和 II 考试全部结束！一起来看看AIME II的真题和答案，看看自己答对几题？

2023 AIME II 真题＆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

总结：

此次AIME II共15题，考点分布与 I 类似，均包含了组合、代数、数论、几何。

共有4道组合（6、7、10、11）、5道代数（1、4、5、8、13）、2道数论（2、15）、4道几何（3、9、12、14）。

今年AIME I ＆ II 难度均有提升，更加突出对学生“综合知识点”的考察，以及是否能够灵活运用不同思路解题。

完整版2023 AIME II真题+答案+视频解析

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AIME II真题

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 成绩查询

AMC-China已经开启AIME I卷成绩查询通道，考生们可以登录官网查询成绩了！

ASDAN成绩公布约在考后6-8周进行，AIME II卷成绩查询与分数线公布信息，我们会持续跟进，为同学们及时提供最新消息。