The story is based on fact.

这个故事是根据真人真事写的。

《牛津词典》

Scientists say that this belief is not based on fact.

科学家们说，这种看法不是以事实为依据。

youdao

They think in outworn categories and follow habits and assumptions that are not, or only rarely, based on fact.

他们以陈腐的类别来思考，对习惯和假设的追随不是或很少是基于事实的。

youdao

And the fact that all of our visas are fingerprint,bio-metric fingerprints based on ensuring that that person's identity is proven is a very important factor in this,".

VOA: standard.2009.12.28

So, I infer the existence of atoms based on the fact that doing that allows me to explain things that need explaining.

所以说我推测原子的存在是基于,该假设使得我能够解释,所需解释的一些现象

耶鲁公开课 - 死亡课程节选

In fact, until we do electricity and magnetism the next semester, everything's going to be based on just the laws of Newton.

其实,在下学期学习电磁学之前,所有的内容都是基于牛顿定律的

耶鲁公开课 - 基础物理课程节选

Decisions need to be based on fact and the mathematics behind the industry, not politics.

BBC: Delay in signing Hull Green Port wind turbine factory deal

This fictional story, purportedly based on fact, seems straight out of the 19th century, or before.

WSJ: Smiling Through the Pain

But the statistics show that while negative attitudes to children may be exaggerated, they are based on fact.

BBC: Are we negative about our children?