With a lot of difficulties , they went to the seashore and had a good rest. A. settledB. s

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(答案→)A. settled
B. settling
C. to settle
D. being settled
解析：考查with的复合结构。在with的复合结构中动词的形式要看与其修饰的宾语之间的关系，主动关系用doing，被动完成关系用done。句意：解决了许多难题，他们去了海边好好休息一下。表示“问题已经被解决”，所以用settled。答案选A。