▲答案为 B。没错，是考查take trouble to do do sth 这一搭配。又如：
He took a lot of trouble over the design. 他花了许多工夫 设计这份图样。
I took great trouble to put them at their ease. 我费了好大劲儿，才解除他们心中的忧虑。
I took a great deal of trouble to read this book through. 我费了很大的劲读完这本书。
They took a lot of trouble to find the right person for the job. 他们费尽心血找适合做这项工作的人。
▲你的句子里之所以在 trouble 前面加了定冠词，是因为特指（因为这里的 trouble 为先行词，后面接有定语从句）。
▲拓展：即使 trouble 后面没有定语从句（在无需特指）时也可能用定冠词，但用不用冠词含义稍有不同：用冠词，表示不怕费事或不嫌麻烦而去做某事；不用冠词，表示尽心尽力或费尽心血而去做某事。比较：
He took the trouble to show me the way to the station.他不嫌麻烦为我去邮局指路。
They took a lot of trouble to find the right person for the job. 他们费尽心血找适合做这项工作的人。
▲根据以上区别，你可比较并体会以下正误句型的错句在哪里：
他不愿麻烦去开门。
正：He refused to take the trouble to open the door.
误：He refused to take trouble to open the door.