polite的副詞形式是什麼?

例句：

She began speaking politely, even correctly.

她開始禮貌地講了起來，甚至還很得體。

They spoke to me very seriously but politely.

他們非常嚴肅但又很有禮貌地與我談話。

He offered the boys some coffee. They declined politely.

他要給男孩們來些咖啡。他們禮貌地拒絕了。