conversely  adv used when one situation is the opposite of another 相反地；另一方面： American consumers prefer white eggs; conversely, British buyers like brown eggs. 美国的消费者喜欢白色的鸡蛋，而英国的消费者却相反，他们喜欢棕色的鸡蛋。

         on the contrary / quite the contrary（注意：不是 on the contratry）used to add to a negtive statement, to disagree with anegtive statement by someone else, or to answer no to a question 正相反 / 恰恰相反： It wasn't a good thing;  on the contrary it was a huge mistake. 那不是好事，恰恰相反，是个巨大的错误。 "I suppose your wife doesn't understand you." " On the contrary, she understands

me very well.""我估计你妻子不会理解你的。""正好相反，她十分理解我。" / "Are they happy?""No,no, quite the contrary.""他们幸福吗？""不，不，正好相反。"

       （以上摘自《朗文当代高级英语辞典》第六版 conversely；contrary  ）