最近滿常碰到<~,with~>這種用法，想請問<,with~>後面所帶出的用法是否表示補充說明，這跟同位格或是分詞構句有關嗎？
謝謝^^
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.出處
1）.http://www.taipeitimes.com/News/front/archives/2017/07/19/2003674844
2）. 台灣英文報紙

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http://www.ldoceonline.com/dictionary/with-> 12 ...http://grammar.ccc.commnet.edu/grammar/commas_big.htm-> 4 ...基本上是對主要子句(所述內容)的背景(補充)說明/敘述

感謝D大，提供資訊參考。費心了Hi D大，上面你所提供字典裡第->12裡有一句：She was knitting, with the television on. 不太懂這with前的<,>所代表意思。She was knitting, with the television on.這<,>我突然懂了=>She was knitting表示她正在作什麼，好後面,with the television on.表補充說明主句的狀態。