2011 AMC 10A 第 12 题

Question

一支篮球队投进了一些三分球、两分球和一分罚球。他们通过两分球得到的分数与通过三分球得到的分数相同。他们投进的罚球数比投进的两分球数多一个。该队总得分为

61

分。他们投进了多少个罚球？

The players on a basketball team made some three-point shots, some two-point shots, and some one-point free throws. They scored as many points with two-point shots as with three-point shots. Their number of successful free throws was one more than their number of successful two-point shots. The team’s total score was

61

points. How many free throws did they make?

13

14

15

16

17

答案：A

知识点：一次方程

难度评级：960

小提示：

设投进的两分球数为

x

。

Let

x

be the number of two-point shots

大提示：

两分球得分等于三分球得分。

The points from two-point shots equal the points from three-point shots

解答：

设投进的两分球数为

x

，则

2x + 2x + (x + 1) = 61\text{，}

化简得

5x + 1 = 61

x = 12\text{。}

因此罚球数为

12 + 1 = 13

。

所以正确答案是 A。

Let

x

be the number of successful two-point shots. Then we have that

2x + 2x + (x + 1) = 61,

which simplifies to

5x + 1 = 61

x = 12.

The number of successful free throws is then

12 + 1 = 13.

Thus, A is the correct answer.

2011 AMC 10A 第 12 题

答案：A

难度评级：960

小提示：

大提示：

解答：

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