would you like ( )basketball A.to play B.piay C.play 填空并翻译下,能说说为什么吗

Would you like ( to play)basketball
你想要打篮球吗?
【这是一种委婉询问表达方式】
比如：would you like to do sth 是一个固定结构：你想要.
【注意like 这里不是喜欢】
[参考例句]：
1.What would you like to do today?
今天你想做什么?
2.What kind of job would you like to do?
你想做什么样的工作呢?