sorrowing 是目前分词作作随着状语吗？

They sank down sorrowing, without waiting for it to come in words.

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sink down sorrowing - 这里down是副词，sorrowing 是目前分词作作随着状语吗？

They sank down sorrowing, without waiting for it to come in words.

是的。sorrowing 是目前分词，作“方法或随着状语”。sink down 指因疲劳或悲伤“无力地坐下”。