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# 請教各位大大，要如何翻譯這個數學原文題目？

A large room contains two speakers that are 3 meters apart. The sound

intensity I of one speaker is twice that of the other, as shown in the figure. Suppose the listener is free to move about the room to find those positions that receive equal amounts of sound from both speakers. Such a location satisfies two conditions:

(1) the sound intensity at the listener’s position is directly proportional to the sound level of a source, and(2) the sound intensity is inversely proportional to the square of distance from the source.

(a)Find the point on the x-axis that receive equal amounts of sound from both

speaker.

(b)Find and geaph the equation of all locations (x,y) where one could stand and

receive equal amounts of sound from both speakers

### 1 個解答

• QUENCY
Lv 7
1 0 年前
最佳解答

A large room contains two speakers that are 3 meters apart.

在一間大房間裡，有兩個揚聲器，相距3米。

The sound intensity of one speaker is twice that of the other, as

shown in the figure.

一個揚聲器的聲音強度是另一個揚聲器的兩倍如圖所示。

Suppose the listener is free to move about the room to find those

positions that receive equal amounts of sound from both speakers.

假設聆聽者可以在房間中自由地移動，找到這些位置，讓聆聽者能夠聽到，由這兩個揚聲器發出等量的聲音。

Such a location satisfies two conditions:

這個位置應合於兩種情況：

(1) the sound intensity at the listener’s position is directly

proportional to the sound level of a source, and(2) the sound intensity

is inversely proportional to the square of distance from the source.

(1)就聆聽者的位置，聲音強度是直接與發聲源的聲音等級成正比，(2)聲音強度是與發聲源的距離的平方成反比。

(a)Find the point on the x-axis that receive equal amounts of sound from

both speaker.

(a)在x軸上找到這個點，從兩個揚聲器所發出的聲音，能夠以等量的聲音被聽到。

(b)Find and graph the equation of all locations

(x,y) where one could stand and receive equal amounts of sound from

both speakers

(b)找出並列出所有位置(x,y)的方程式，讓人可以站定位置，並聽到從兩個揚聲器所發出的等量的聲音。

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