“(1+a)(1+b)(1+c)<27, 因為把它看成立方體,當a=b=c=2時體積最大 "
注意上式隻有當(a+b+c)是定值時成立,但題中的條件是a*b*c是定值,而非a+b+c是定值
舉一個具體例子 a=100, b=1, c=8/100, 有a*b*c=8
(1+a)(1+b)(1+c) = 101 * 2 * (1+8/100) > 202 > 27
“(1+a)(1+b)(1+c)<27, 因為把它看成立方體,當a=b=c=2時體積最大 "
注意上式隻有當(a+b+c)是定值時成立,但題中的條件是a*b*c是定值,而非a+b+c是定值
舉一個具體例子 a=100, b=1, c=8/100, 有a*b*c=8
(1+a)(1+b)(1+c) = 101 * 2 * (1+8/100) > 202 > 27
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