在 With the lights burning, he fell asleep中，burn 是不及物动词。在with…doing 这类复合结构中，doing 这个位置的词是及物还是不及物没有特别要求，根据需要而定。

▲doing 为不及物动词的例子：

I can't work with all that noise going on. 噪声一直那么大我根本没法工作。

The day was bright, with a fresh breeze blowing. 天气晴朗吹着一股清风。

With a recession looming, consumers are spending less. 经济日渐萧条，人们的消费也越来越少了。

With three matches remaining, there are six teams in the promotion race. 还剩下3 场比赛，有6 支球队在争取晋级。

With England not playing, the smart money was on the Germans. 英格兰队没有参赛，所以人们看好德国队应该会赢。

I cycled off down the road with the dog running behind. 我骑着自行车顺着道路行驶，那只狗在后面跟着跑。

▲doing 为及物动词的例子：

She walked back to the bus stop, with him following her. 她走回公交车站，他跟在她身后。

With Mr Ade taking the lead, they decided to set up a trading company. 以艾德先生为首他们决定成立一个贸易公司。

It had been a tense, restless day with people crowding her all the time. 这是紧张、忙碌的一天，每时每刻都有人围在她身旁。

It’s sometimes quite pleasant being ill, with people making a fuss of you all the time. 有时生一下病也挺不错的，人们无时无刻不在宠着你。