1.Do you doubt__I've got the chance for further education?
A.that B.which C.whether D.if
2.We offered him our congratulations___his passing the college entrance exams.
A.at B.on C.for D.of
3.A sheep__on this kind of special grass usually grows much faster than___on ordinary.
A.feeding;one B.feeds;the one
C.fed;that D.feeding;it
sheep和feed之间不是被动关系吗？是否该用fed?

1.A

that I've got the chance for further education 作了doubt的宾语.that在这里引导一个宾语从句.

关于为何选A的一点小补充:

doubt的用法

doubt当动词时,在<肯定句>中后面可接if或whether。
在否定句及疑问句中可跟that从句。
有时在<肯定句>中也能跟that从句,但其含义是"恐怕...不会"。
I doubt if (或 whether) he will win.
我怀疑他能否赢。
I don't doubt that he will succeed.
我毫不怀疑他会成功。
Do you doubt that he will succeed?
你怀疑他会成功吗?
I doubt that he will win.
恐怕他赢不了。

doubt作名词
no doubt后接that从句或介词of。
We have no doubt that you will succeed.
We have no doubt of your success.
我们毫不怀疑你会成功。
There is (It is 误) no doubt that you will succeed.
毫无疑问你会成功。

2.B
contragulations on sth, to sb.

his passing the college entrance exams是作了on的宾语.

3.A

A sheep feeding on this kind of special grass usually grows much faster than one on ordinary

feed on的意思是"以...为食",注意这个用法. 不是被动.

例:

Larvae bore into and feed on apples.
幼虫在苹果上钻洞并吃苹果。

Bats fly at night and feed on insects.
蝙蝠在夜间飞行，以昆虫为食。

Bees feed on nectar and pollen from flowers.
密蜂以花朵中的甘露和花粉为食物。

The children always feed on the best of food.
孩子们常常吃最好的食物。