last / the last

English as a Second Language English Vocabulary, Grammar and Idioms
1
  1. We bought this house last year.
  2. I had a discussion with him (X: the) last week/month/year.
  3. We have/had lived here for the (last year)/(last two years).
  4. I have been too busy for the last three months.
  5. The last few days have been very wet.
  6. The last few days I have been very sick.
  7. I last met him in February.
  8. I think the last time I met him was when I was in Singapore.
  9. This is the last car I buy/bought.
    Please correct all.
    Thanks.
2
  1. I had a discussion with him last week/month/year.
    (If I’m not mistaken, ‘the last week’ means the seven days preceding today, and ‘last week’ means the week before the preceding Sunday)
  2. We lived here during the last year. (Edited) We have lived here for the last two years.
  3. For the last few days I have been very sick.
  4. This is the last car I buy/bought. (Compare: This is the car I bought last)
    Others are acceptable to me.
3

We live here during the last year ??? <-- doesn’t make sense.
We have lived here for the past year. / We have been living here for the past year.