Question

There are)It's (no) doubt that the flower vase Be

There are)It's (no) doubt that the flower vase Belongs(belonging) (to) Liming 为什么用belonging?

Answer 1

你这是把两种不余脊数同的句子混编在竖首一起了吧。
1、There is a flower vase belonging to Liming = There is a flower vase which  belongs to Liming.
【分词短语 belonging to Liming 是修饰 vase 的后置定语，相当于定语从句的作用】
2、It's no doubt that the flower vase  belongs to Liming
【it 是形式主语， that 引导的是主语从句，belongs 是从句的谓语动词，不野神能用分词 belonging 】

追问

但是答案就是belonging

追答

你只截取了半个句子，原句是 the vase (belonging to …) is a valuable …，括号中部分是现在分词作定语，相当于定语从句 which belongs to …

Answer 2

is 是谓语