Question

the students are encouraged by their teacher to do more listening,reading and writing.

are encouraged 是不是被动语态？
to do more listening,是不定式加动词现在式？

Answer 1

第一个你回答正确了，的确是被动语态，学生被鼓励
第二个不对，是这样的：encourage sb to sth是固定搭配，所以在do more listening前边有to,而do more listening 是固定短语，如同do more exercise 一样，希望能帮到你

Answer 2

are encouraged 是被动语态
to do more listening，不是不定式加动词现在式，to do more listening里面的to 是和前面的encouraged相连的。encouraged sb to do sth是固定语态

Answer 3

第一个是对的，第二个listening 不是现在式