AMC 8 2019 Problem 12
AMC8 2019 年第 12 题
立体几何★★★☆☆
The faces of a cube are painted in six different colors: red (R) , white (W) , green (G) , brown (B) , aqua (A) , and purple (P) . Three views of the cube are shown below. What is the color of the face opposite the aqua face?
用六种不同的颜色给一个正方体的六个面涂色：红色（R），白色（W），绿色（G），棕色（B），湖绿色（A）和紫色（P）。下图展示了这个正方体的 3 个不同视图。那么和湖绿色面相对的那个面的颜色是什么颜色？
- A.
- B. / 白色
- C. / 绿色
- D. / 棕色
- E. / 紫色
正确答案 · Correct Answer
A
解析 · Solution
Solution 1
is on the top, and is on the side, and is on the right side. That means that (image 2 ) is on the left side. From the third image, you know that must be on the bottom since is sideways. That leaves us with the back, so the back must be . The front is opposite of the back, so the answer is .
Looking closely, we can see that all faces are connected with except for . Thus, the answer is . It is A, just draw it out!
From pic 1 and 2, we know that the G's opposite is W. From pic 1 and 3, the B's opposite is P. So the 's opposite is .
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