# 英文題的數學問題~

The cost of a square slab is proportional to its thickness and also proportional to the square of its length. What is the cost of a square slab that is 3 meters long and 0.1 meter thick?

(1) The cost of a square slab that is 2 meters long and 0.2 meter thick is \$160 more than the cost of a square slab that is 2 meters long and 0.1 meter thick. 4y2x 32xy

(2) The cost of a square slab that is 3 meters long and 0.1 meter thick is \$200 more than the cost of a square slab that is 2 meters long and 0.1 meter thick.

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The cost of a square slab is proportional to its thickness and also proportional to the square of its length. What is the cost of a square slab that is 3 meters long and 0.1 meter thick?

(1) The cost of a square slab that is 2 meters long and 0.2 meter thick is \$160 more than the cost of a square slab that is 2 meters long and 0.1 meter thick. 4y2x 32xy

(2) The cost of a square slab that is 3 meters long and 0.1 meter thick is \$200 more than the cost of a square slab that is 2 meters long and 0.1 meter thick.

正方型平板的成本與其厚度成正比，亦與其邊長成正比。求3公尺長、0.1公尺厚的平板成本為多少?

(1) 2公尺長、0.2公尺厚的平板比2公尺長、0.1公尺厚的平板貴 \$160。

(2) 3公尺長、0.1公尺厚的平板比2公尺長、0.1公尺厚的平板貴 \$200。

由 (1) 可知，邊長不變，厚度每多 0.1 公尺，成本高 \$160；由 (2) 可知，厚度不變，邊長每多 1 公尺，成本高 \$200。由於沒有基本價格，例如 1 公尺長、0.1 公尺厚的平板是多少錢，因此在條件不足的情況下，此題無解。

2009-08-15 22:41:18 補充：

亦或可以簡單來看，與 0 公尺長、0 公尺厚，成本為 0 來做基準點。3公尺長、0.1 公尺厚的平板為 3 * 200 + 1 * 160 = \$760。

• 一塊方形的平板的費用與它的厚度是比例並且比例與它的長度正方形。 什麼是3米長和0.1米厚實的一塊方形的平板的費用？ (1)是2米長一塊方形的平板和0.2米的費用厚實更比是2米長和0.1米厚實的一塊方形的平板的費用是\$160。 4y2x 32xy (2)是3米長一塊方形的平板和0.1米的費用厚實更比是2米長和0.1米厚實的一塊方形的平板的費用是\$200。

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