---can you ( ) me in playing basketball?--that's a good idea

我也认为选D
join和take part in
说参加某种活动用join in,如说“与其人一起做某事”,则用join sb.in sth./ doing sth..如：
①May I join in the game?我可以参加这个游戏吗?
②Come and join us in the discussion.来和我们一起讨论吧!
③We are having supper now.Would you like to join us?
我们正在吃晚饭,你也来和我们一起吃好吗?
3)take part in参加(群众性活动、会议等),往往指参加者持积极态度．起一份作用.如：
①A great number of students took part in May 4 Movement.
大批学生参加了五四运动.
②We are going to have an English evening.Do you want to take part?
我们准备举办一个英语晚会,你想参加吗?
③How many of you are going to take part?
你们多少人准备参加?
④All the students took an active part in the thorough cleaning.
所有的学生都积极参加了大扫除.