题目
If f(x,y)= , where 0<x<y, which of the following could be the value of f(x,y) ?
解析
**一种非常规思路:**
\[
f(x,y) = \frac{10x}{2x + 3y} + \frac{20y}{3x + 2y}
\]
- 当 \(x\) 非常大时,\(f(x,y) = \dfrac{10}{2} = 5\)
- 当 \(y\) 非常大时,\(f(x,y) = \dfrac{20}{2} = 10\)
**答案应该在 5 和 10 之间(不包含端点)。**
**A)8**