2022 AMC10B 真题

2022 AMC 10B

1. Define x ◊ y to be x y  for all real numbers x and y. What is the value of (1 ◊ (2 ◊ 3))  ((1 ◊ 2)

◊

3)?

对于所有的实数 和 x y, x ◊ y 定义为 x y  . 问 (1 ◊ (2 ◊ 3))  ((1 ◊ 2) ◊ 3) 的值是多少 ?

1. In rhombus ABCD, point Plies on segment AD so that BP AD  , AP = 3, and PD =2. What is the area of ABCD? (Note: The figure is not drawn to scale.)

在菱形 ABCD 中点 , P 位于线段 AD 上使得 BP AD  , AP=3,PD=2 问 ABCD 的面积是多 少 注图形未按比例绘制 ?( : .)

• How many three-digit positive integers have an odd number of even digits?

• 包含奇数个偶数数码的三位正整数有多少个 ? (A) 150 (B) 250 (C) 350 (D) 450 (E) 550

• 1. A donkey suffers an attack of hiccups and the first hiccup happens at 4:00 one afternoon. Suppose that the donkey hiccups regularly every 5 seconds. At what time does the donkey's 700th hiccup occur?

一头驴因病连续打嗝，第一次打嗝发生在下午 4:00. 假设驴每隔 5 秒打嗝一次那么驴第 . 700