With a lot of difficulties , they went to the seashore and had a good rest.
A. settled
B. settling
C. to settle
D. being settled
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(答案→)A. settled
B. settling
C. to settle
D. being settled
解析:考查with复合结构。With复合结构:with+宾语+宾语补足语。本题的后半句他们去了海边休息,说明difficulties已经被解决。用过去分词表示被动和已经完成。句意:因为很多困难都被解决了,他们去了海边好好休息。故A正确。