The young lady prefers dressing up for a party to by others.
A. be noticed
B. noticing
C. having been noticed
D. have been noticed
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(答案→)A. be noticed
B. noticing
C. having been noticed
D. have been noticed
解析：考察非谓语动词，此处to be noticed表示目的，
句意为这个年轻的女士喜欢打扮的很漂亮去参加聚会，为了吸引别人的注意力/被别人注意到。