Question

下图显示了三个逐渐变大的六边形。假设点阵继续按同样规律增长，每个后续六边形都多一圈点。下一个六边形中有多少个点？

Three hexagons of increasing size are shown below. Suppose the dot pattern continues so that each successive hexagon contains one more band of dots. How many dots are in the next hexagon?

$35$

$37$

$39$

$43$

$49$

答案：B

知识点：等差数列找规律

难度评级：900

视频讲解：

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文字解答：

前三个六边形分别有 $1$ 、 $7$ 和 $19$ 个点。每增加一圈，比上一圈多加 $6$ 个点。

第四个六边形会在第三个基础上再增加 $18$ 个点，所以共有 $19+18=37$ 个点。

正确答案是 B。

The first three hexagons contain $1,$ $7,$ and $19$ dots. Each new band adds $6$ more dots than the previous band.

The fourth hexagon adds $18$ dots around the third hexagon, so it contains $19+18=37$ dots.

Thus, the correct answer is B.

2020 AMC 8 第 4 题

答案：B

难度评级：900

视频讲解：

文字解答：

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