1.with pleasure和 my pleasure的区别是?分别回答什么语境?
答：
with pleasur 用来客气地回答请求,意思是将高兴地为对方效劳,如：
A：Could you do it for me?
B：With pleasure.
my pleasre 在人家对自己表示感谢时使用,如人家说Thank you for help,你便可说 My pleasure.
2.否定词＋比较级=最高级吗?那no better为什么是“两者都不”的意思 玛丽比汤姆做的好为什么是Mary did （no worse） than TOM 为什么不是not better这个短语不应该等于best的吗?
答：不能简单地说.否定词＋比较级=最高级!
This house is not taller than that one 的意思还是“这间房不比那间房高”,还是比较级,只不过说是否定的.
但是This house is no taller than that one 的意思就是“这两间房都不高”.这就是说只有 no + 形容词比较级 + than 才表示“两者都不.”.这个结构中的否定词必须是 no,一旦变成not,所表示的意思就变了.
回到你说的 Mary 与 Tom 比较的例句：
Mary did （no worse） than Tom 玛丽和汤姆做得一样好.（意思是都好）
Mary did （no better） than Tom 玛丽和汤姆做得一样糟.（意思是都糟）
Mary did （not do worse） than Tom.玛丽做的不是比汤姆差.
把这种结构的句子放到更大的语境中去考察,你就觉得很容易理
Tom did it badly,and Mary did it badly too.She did it no better!汤姆做的真遭,而玛丽做得也遭 --- 她做得一点也不必汤姆好!
3.there be的非谓语形式是?具体怎么用?
答：非谓语形式有 to do,doing,和 done.其实there be 句型只有 there to be 和 there being 这两种非谓语形式.
You wouldn't like there to be another war,would you?(there to be another war做like的宾语.)
It was too late for there to be any buses.(there to be any buses做介词for的宾语.)
No one would have dreamen of there being such a good place.(there being such a good place--- 动名词 --- 做of 的宾语.)
There being nothing else to do,we went home.(There being nothing else to do 做状语)
4.Did you have any trouble finding your way in London?
Yes,i tried to find my way to the museum but (got lost).为什么不是lost?
答：lose something 是“丢了某物”的意思.说某人迷了路,英文是be lost 或 get lost.
5.Were it not for the fact that i (am) very busy ,i would go with you .为什么不是was?
答：既然是fact,即事实,就应该用陈述语气 am.（that I am very busy 是 fact 的同位语从句,其谓语形式以fact一词的意义为准,所以用陈述语气,而不能用虚拟语气.were it not for...中的were和would go with you 中的would go 倒是虚拟语气.注意：were it not for ...= if it were not for...,意思是“要不是.”,“如果不是., ”“假如不是.,总之表示假设,是虚拟条件,所以谓语动词用were,是虚拟式.）