Question

把 $64$ 个整数，从 $1$ 到 $64$ ，分别写在一个有 $8$ 行、每行 $8$ 格的棋盘上，共有 $64$ 个小方格。前 $8$ 个数按顺序写在第一行，接下来的 $8$ 个写在第二行，依此类推。写完全部 $64$ 个数后，四个角上的数之和是

The $64$ whole numbers from $1$ through $64$ are written, one per square, on a checkerboard (an $8$ by $8$ array of $64$ squares). The first $8$ numbers are written in order across the first row, the next $8$ across the second row, and so on. After all $64$ numbers are written, the sum of the numbers in the four corners will be

$130$

$131$

$132$

$133$

$134$

答案：A

知识点：等差数列

难度评级：560

解答：

第一行是 $1, 2, \ldots, 8$ ，最后一行是 $57, 58, \ldots, 64$ 。四个角上的数是 $1, 8, 57$ 和 $64$ 。

它们的和是 $1 + 8 + 57 + 64 = 130$ 。

所以正确答案是 A。

The first row is $1, 2, \ldots, 8$ and the last row is $57, 58, \ldots, 64$ . The four corners are $1, 8, 57,$ and $64$ .

Their sum is $1 + 8 + 57 + 64 = 130$ .

Thus, the correct answer is A .

1996 AMC 8 第 3 题

答案：A

难度评级：560

解答：

其他年份的第 3 题