like是系动词,take是动词,所以应该是
He likes to take some medicine.
这里like相当于would like
He likes to take some medicine.
但like是个及物动词,to take some medicine是个宾语
不定式可以做宾语,就像v-ing可以做宾语一样,
以下这个句子也是v-ing做宾语
He likes swimming.
He likes to take some medicine.
一般like后面都加to do 或doing