Individually, the prepositions 上, 下, and 中 express a location. However they can have different meanings when they are stated after an abstract concept as a part of an idiomatic construction. Let's look at all of them.
With the pattern 在…下 we can express that we obtained a result under some external influence. For example, we complete an action under the influence of something or someone else.
Examples
在妈妈的支持下,我入学北京大学了
With the support of my mother, I enrolled in Beijing University
zài māma de zhīchí xià, wǒ rùxué běijīng dàxué le
在他的影响下,我喜欢上了运动
Under his influence, I got into sports
zài tā de yǐngxiǎng xià, wǒ xǐhuanshàng le yùndòng
在心理压力下,我决定了离开公司
Due to psychological pressure, I decided to leave the company
zài xīnlǐ yālì xià, wǒ juédìng le líkāi gōngsī
The pattern 在…中
With the pattern 在…中 we can express that the result of an action is obtained in the course of some process.
Examples
在这本课中我们一共学了二十个语法结构
In this lesson, we learned a total of twenty grammatical structures
zài zhè běn kè zhōng wǒmen yígòng xué le èrshí ge yǔfǎ jiégòu
在学汉语的过程中我们能受到中国文化的影响
While learning Chinese, one can easily be influenced by Chinese culture
zài xué hànyǔ de guòchéng zhōng wǒmen néng shòudào zhōngguó wénhuà de yǐngxiǎng