It's quite strange that the man sleeps with his mouth closed and his eyes open.

请问closed和open为什么要放在mouth和eyes后？不是说形容词修饰名词放在名词之后吗？

【答】这属于with复合结构，是独立主格结构的一种。

详情请参考：

http://www.yygrammar.com/Article/201306/3354.html

I like autumn best, I like it cool.

请问cool在这里做什么成分？

【答】这个句子不正确。

1.标点符号不正确：best之后的逗号应改为分号或句号。

2. I like it cool.是错句。改为：I like autumn best; it is cool. 或者I like autumn best because it is cool.