1. There are ___different languages in the world. 2 There are ___books here that I can't buy them all. 請問空格中應該填 such many 還是so many還是二個都可以?

such與many一起使用時，such置於many之後。
many such houses =許多那樣的房子
<遠東新世紀英漢辭典>p.1379 such

所以你給的選項such many可能不正確。
so many應是唯一的選項。

The books here are so many that I can't buy them all.（你的第二句，也可以這樣寫。）

She had such a fright that that she fainted. - She waw so frightened that she fainted.
The audience made such a noise I could hardly hear what the speaker said.
It was such a lovely day that I preferred to walk.
such ... that =如此...以致於

使用 so many 或 such a lot of (so many 的使用要較 such a lot of 來的普遍)

1.) There are so many/such a lot of different languages in the world.

2.) There are so many/such a lot of books here that I can't buy them all.

http://forum.wordreference.com/threads/so-many-people-and-such-a-lot-of-people.219970/