回復 1# palin 的帖子
已知實數中a.b.c.d非0
若「\(\displaystyle \frac{b}{a}>\frac{d}{c}\) 且 \(ac>0\)」,則 \(\displaystyle\frac{b}{a}\cdot ac>\frac{d}{c}\cdot ac\Rightarrow bc>ad\)
若 \(bc>ad\),則不能保證「 \(ac>0\) 且 \(\displaystyle\frac{b}{a}>\frac{d}{c}\) 」,反例如:\(a=1, b=-2, c=-1, d=1\)