state = point out = show?

三个都是同一个意思。
都是“指出”的意思。

point out的中文翻译
以下结果由译典通提供词典解释
1.指出
He pointed out the mistake to me.
state
及物动词 vt.

1.陈述;声明;说明
The witness stated that she had never seen Mr. Smith.
证人宣称她以前从未见过史密斯先生。
2.确定,指定

show的中文翻译
以下结果由译典通提供词典解释
及物动词 vt.

1.显示,露出[O4]
She shows great interest in American drama.
她对美国戏剧很有兴趣。
They showed immense courage in the face of danger.
他们在面对危险时表现得非常勇敢。
2.陈列,展出
The paintings were shown at the Art Gallery.
这些画曾在美术馆展出。
3.演出;放映
4.证明,表明[O9][O6][O2][+(that)][+wh-]
His remarks showed that he misunderstood my position on the question.
他的话说明他误解了我在这一问题上的立场。
5.出示,给...看[O1]
Can you show me your photographs?
把你的照片给我看看好吗?
6.告知;指出[O1][O6]
7.带领,引导[O]
He showed me around the factory.
他带我参观工厂。
I showed her to her seat.
我把她带到座位上。
8.给予;对...表示[O1]
9.【律】陈述

不及物动词