最近满常碰到<~,with~>这种用法，想请问<,with~>后面所带出的用法是否表示补充说明，这跟同位格或是分词构句有关吗？
谢谢^^
1).One woman was killed and 15 people were injured in a gas explosion in Taichung’s Fengjia Commercial District yesterday, (with) the suspected mishandling of a liquefied natural gas cylinder by a restaurant employee think to be the cause, officials said.
2).Ransomware is often transmitted via email or web pop - ups , (with) infected computers being locked up and text appearing on the screen demanding users to send money within certain amount of time , otherwise the data on the computer will be destroyed .
Ps.出处
1）.http://www.taipeitimes.com/News/front/archives/2017/07/19/2003674844
2）. 台湾英文报纸

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http://www.ldoceonline.com/dictionary/with-> 12 ...http://grammar.ccc.commnet.edu/grammar/commas_big.htm-> 4 ...基本上是对主要子句(所述内容)的背景(补充)说明/叙述

感谢D大，提供资讯参考。费心了Hi D大，上面你所提供字典里第->12里有一句：She was knitting, with the television on. 不太懂这with前的<,>所代表意思。She was knitting, with the television on.这<,>我突然懂了=>She was knitting表示她正在作什么，好后面,with the television on.表补充说明主句的状态。