英语不好的求教：第一个英语句子中为什么用that,第二个句子中为什么用现在分词形式，第三个如何翻译？

This alone demonstrates that the television business is not an easy world to survive in, a fact underlined by statistics that show that out of eighty European television networks no less than 50% took a loss in 1989.
请问a fact underlined by statistics that show that中show的前面为什么要用that?

Some use them to keep a close watch on the demand for their line of work or gather information on compensation to arm themselves when negotiating for a raise。
请问negotiating为什么用现在分词的形式？

The anonymous, lonely, undistracted nature of online gambling is especially conductive to compulsive behavior.
请问其中的“undistracted”做何解？答案的解释是“分散”。但是字典里它明明是类似集中的意思。

Thank you for granting me help.

第一个问题刚弄懂了，有一个同位语。下面两个问题请教大家。谢谢。

show前面的that 为同位语从句的引导词
此是非谓语 现在分词表主动
第三题 我就不知道了。。。

i have washed my clothes. 我已经洗了衣服了

he has read the book. 他已经看了那本书

we had learnt 2000 words by the end of this year. 到今年为止 我们已经学了2000个单词

the apples are eaten by me. 那些苹果是我吃的