he provides me with an apple.he bases his idea on scientific

he provides me with an apple.he bases his idea on scientific experiment.
这两个句子中,with an apple,on scientific experiment,属于介词短语吧?它们在句子中是做什么成分啊?是宾语补足语还是状语,或者是其他的成分吗?
就拿第一个句子来说吧,如果作宾补的话,那么me和an apple之间没什么逻辑上的关系吧?那就应该不是宾补而是状语吗?