I don't think they knew about it,did they?我认为应该是didn‘t theyI don’t believe she told a lie，didn’t she？

I don't think they knew about it,did they?我认为应该是didn‘t theyI don’t believe she told a lie，didn’t she？
I don't think they knew about it,did they?我认为应该是didn‘t they
I don’t believe she told a lie，didn’t she？

I don't think they knew about it,did they?我认为应该是didn‘t theyI don’t believe she told a lie，didn’t she？
含有think,believe,suppose,imagine,expect等表示主语主观意愿的词后接宾语从句构成的主从复合句在构成反意疑问句时,视情况不同有两种不同的构成方式.
当主句的主语为第一人称时,其后的简短问句应与从句相一致.例如：We suppose you have finished the project,haven't you?
而当这些动词后接的宾语从句的否定转移到主句时,其仍属否定句,故其后的简短问句应用肯定式,而非否定式.I don't think they knew about it,did they?是对的

没有错。。那这个 I don’t believe she told a lie，didn’t she后一句错了。应该是doesn’t she这两句话都是对的 我是问你 I don't think they knew about it,did they?和I don’t believe she told a lie，didn’t she？为什么不一样翻译就不同 1我不认为他们...

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没有错。。

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这个没错。这是个反意疑问句，前面是否定的话后面要用肯定。反之相反

I don't think they knew about it,did they? 没错，你的想法应该是didn‘t they 是错误的。
主句谓语是think, believe, expect, suppose, imagine等后宾语从句，疑问部分与宾语从句相对应构成反意疑问句。
I don't think he is bright, is he?
We believ...

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I don't think they knew about it,did they? 没错，你的想法应该是didn‘t they 是错误的。
主句谓语是think, believe, expect, suppose, imagine等后宾语从句，疑问部分与宾语从句相对应构成反意疑问句。
I don't think he is bright, is he?
We believe she can do it better, can't she?
而你的追问 I don’t believe she told a lie，didn’t she 是错误，应为 I don’t believe she told a lie，did she?
翻译疑问句有很多要注意的；（你提问的就是本讲义的第14种情况)，总结20种情况如下：
1. 陈述部分的主语是I，疑问部分要用 aren't I.
I'm as tall as your sister，aren't I?
2. 陈述部分的谓语是wish，疑问部分要用may +主语。
I wish to have a word with you, may I?
3. 陈述部分用 no, nothing, nobody, never, few, seldom, hardly, rarely, little等否定含义的词时，疑问部分用肯定含义。
The Swede made no answer, did he / she?
Some plants never blown (开花), do they ?
4. 含有ought to 的反意疑问句，陈述部分是肯定的，疑问部分用shouldn't / oughtn't +主语。
He ought to know what to do, oughtn't he? / shouldn't he?
5. 陈述部分有have to +v. (had to + v.)，疑问部分常用don't +主语（didn't +主语）。
We have to get there at eight tomorrow, don't we?
6).陈述部分的谓语是used to 时，疑问部分用didn't +主语或 usedn't +主语。
He used to take pictures there, didn't he? / usedn't he?
7).陈述部分有had better + v. 疑问句部分用hadn't you?
You'd better read it by yourself, hadn't you?
8. 陈述部分有would rather +v.，疑问部分多用 wouldn't +主语。
He would rather read it ten times than recite it, wouldn't he?
9. 陈述部分有You'd like to +v. 疑问部分用wouldn't +主语。
You'd like to go with me, wouldn't you?
10. 陈述部分有must 的疑问句，疑问部分根据实际情况而定。
He must be a doctor, isn't he?
You must have studied English for three years, haven't you? / didn't you?
He must have finished it yesterday, didn't he?
11. 感叹句中，疑问部分用be +主语。
What colours, aren't they?
What a smell, isn't it?
12.陈述部分由neither… nor, either… or 连接的并列主语时，疑问部分根据其实际逻辑意义而定。
Neither you nor I am engineer, are we?
13.陈述部分主语是指示代词或不定代词everything, that, nothing, this, 疑问部分主语用it。
Everything is ready, isn't it?
14.陈述部分为主语从句或并列复合句，疑问部分有三种情况：
a. 并列复合句疑问部分，谓语动词根据邻近从句的谓语而定。
Mr. Smith had been to Beijing for several times, he should have been in China now, shouldn't he?
b. 带有定语从句，宾语从句的主从复合句，疑问部分谓语根据主句的谓语而定：
He is not the man who gave us a talk, is he?
He said he wanted to visit Japan, didn't he?
c. 上述部分主句谓语是think, believe, expect, suppose, imagine等，疑问部分与宾语从句相对应构成反意疑问句。
I don't think he is bright, is he?
We believe she can do it better, can't she?
15.陈述部分主语是不定代词everybody, anyone, somebody, nobody, no one等，疑问部分常用复数they，有时也用单数he。
Everyone knows the answer, don't they? (does he?)
Nobody knows about it, do they? (does he?)
16. 带情态动词dare或need的反意疑问句，疑问部分常用 need (dare ) +主语。
We need not do it again, need we ?
He dare not say so, dare you?
当dare, need 为实义动词时，疑问部分用助动词do + 主语。
She doesn't dare to go home alone, does she?
17.省去主语的祈使句的反意疑问句，疑问部分用will you。
Don't do that again, will you?
Go with me, will you / won't you ?
18. Let's 开头的祈使句，后用shall we?
Let us 开头的祈使句，后用will you?
Let's go and listen to the music, shall we?
Let us wait for you in the reading-room, will you ?
19.陈述部分是"there be"结构的，疑问部分用there省略主语代词。
There is something wrong with your watch, isn't there?
There will not be any trouble, will there?
20. 否定前缀不能视为否定词，其反意疑问句仍用否定形式。
It is impossible, isn't it?
He is not unkind to his classmates, is he?
祝进步。

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我认为应该是did she吧。think/belive前的否定实为宾语从句的否定，所以反义疑问句的时候用肯定。

我认为应该是did they。
原句前半部分其实应该是这样的：I think they didn`t know about it. 但是由于think的否定前置，所以就变成了I don't think they knew about it. 所以did they是对的~