6.beyond belief难以置信
Her son's skin improved beyond belief.她儿子的皮肤得到了让人难以置信的改善。
His stupidity is simply beyond belief.他的愚蠢让人难以置信。
7.contrary to popular belief
(despite what people think)与普遍看法相反
Contrary to popular belief, there is no evidence that what you look like makes much difference to your life.与大家普遍的看法相反, 没有任何证据表明你的外貌能够给你的生活带来很大的影响。