There ---- pencil-box,two books and some flowers on the desk

A
当名词在be动词后面的时候,采取就近原则,即离be动词最近的那个名词或名词词组是单数的时候就用is,反之用are.
相反,当名词或名词词组在be动词前面的时候就要全面考虑了.
例如：There is apencil-box, two books and some flowers on the desk.
Two books and one pen are on the desk.