with such nouns as fact, news, idea, thought, question, reply, report, remark, hope, belief, suggestion etc.

Some examples:

Nobody shares my belief that he was mad.

My suggestion that he was mad was not accepted.

They are familiar with the opinion that all matter consists of atoms.

Where did you get the idea that I could not come?

We haven't yet settled the question where we are going to spend our summer vacation.

The suggestion came from the chairman that the new rule should be adopted.

T: The words the fact are often inserted in front of an object clause when the clause cannot be conveniently connected with the verb either directly or by means of the representative it.

This cannot hide the fact that he is growing old.

We must face the fact that we are living in a revolutionary world.

Some supplements:

同位语从句与that引导的定语从句

1) 从先行词看

同位语从句与名次之间在逻辑上是"主语+be+表语"的关系。该名词是需要做特殊说明的抽象名词。例如：

They were delighted at the news that their team had won.

The news was that their team had won.

2) 从引导词来看

引导词that在同位语从句中是连词，只起连接作用，无具体词，that不可省略；that在定语从句中是关系代词，它在从句中充当一定成分--主语或宾语，有具体词义，作宾语时还可以省略。

The factory (that) we visited yesterday is a chemical one.

The news that he will leave for Shanghai is true.

3) 同位语从句的简易判断方法

同位语从句与其先行词在逻辑上是"主语+be+表语"的同位语关系。所以，可以在名词从句之间加系动词be，使之构成一个新句子，如果合乎逻辑，句子通顺，则原句为同位语从句；定语从句是不能够用系表结构把先行词与从句连接起来的。

The belief that the earth is flat is still held in some countries.

The belief is that the earth is flat.

能用于名词性从句的名词有：ability, patience, anxiety, answer, order, report, wish, decision, suggestion, belief, doubt, fact, hope, message, news, promise, question, reply等等。

学好同位语从句关键应注意下列几点：

一、理解同位语从句的含义，把握同位语从句的实质。

在主从复合句中作同位语的从句称为同位语从句。同位语从句一般用that, whether等词引导，常放在fact, news, idea, truth, hope, problem, information等名词后面，说明该名词的具体内容。换言之，同位语从句和所修饰的名词在内容上为同一关系。