首页> 重点归纳 > AMC数学竞赛8真题2016年 1-2

AMC数学竞赛8真题2016年 1-2

2018-08-27 重点归纳

AMC数学竞赛8专为8年级及以下的初中学生设计，但近年来的数据显示，越来越多小学4-6年级的考生加入到AMC 8级别的考试行列中，而当这些学生能在成绩中取得“A”类标签，则是对孩子数学天赋的优势证明，不管是对美高申请还是今后在数学领域的发展都极其有利！那么接下来跟随小编来看一下AMC 8的官方真题以及官方解答吧：

Problem 1

The longest professional tennis match ever played lasted a total of $11$ hours and $5$ minutes. How many minutes was this?

$AMC竞赛$

Solution

It is best to split 11 hours and 5 minutes into 2 parts, one of 11 hours and another of 5 minutes. We know that there is $60$ minutes in a hour. Therefore, there are $11 \cdot 60 = 660$ minutes in 11 hours. Adding the second part(the 5 minutes) we get $amc数学竞赛$ .

Problem 2

In rectangle , and . Point is the midpoint of $\overline{AD}$ . What is the area of $\triangle AMC$ ?

$\textbf{(A) }12\qquad\textbf{(B) }15\qquad\textbf{(C) }18\qquad\textbf{(D) }20\qquad \textbf{(E) }24$

Solution

amc真题

Solution 1

Use the triangle area formula for triangles: $A = \frac{bh}{2},$ where is the area, is the base, and is the height. This equation gives us .

Solution 2

A triangle with the same height and base as a rectangle is half of the rectangle's area. This means that a triangle with half of the base of the rectangle and also the same height means its area is one quarter of the rectangle's area. Therefore, we get $\frac{48}{4} =\boxed{\textbf{(A) } 12}$ .