We know things about each other that we should not know, have no right , and have a right

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(答案→)A. increasingly; to know
B. decreasedly; knowing
C. increasingly; know
D. decreasingly; knew
解析：考查副词及动词形式的区别。Increasingly 意为“越来越；日益”；decreasedly 意为“减少，降低”； decreasingly意为“渐渐减少地”；句意：我们越来越相互之间了解我们不应该知道没有权利知道，以及事实上有权利不知道。That从句后面谓语动词之间有and来连接表示并列，and前后的结构是一样的，后面是“have a right, actually, not to know.”；前面应该是：have no right to know；故A正确。