For children's story books for children born after 1980s, especially those involving detectives and dogs, there is another book that is more in line with your description, and that is The Adventures of Tintin. However, the cover of The Adventures of Tintin is not all red. Although the nose of the protagonist Tintin is conspicuous, it is not a particularly prominent big nose or red nose. In addition, there are indeed helicopters and other means of transportation in The Adventures of Tintin.

As for the dog detective with red nose or big nose and the book with red cover, I can't give a definite answer for the time being. It may be a memory deviation, or it may be caused by the different covers of different versions of the book.

If you can provide more information about this book, such as the author, publishing house, names of other people, etc. I may be able to help you find this book more accurately. In addition, you can also try to find this book in the library or second-hand bookstore, or search the related children's story book catalogue and book reviews online to get more clues.

I hope I can help you. The answer is not easy. I look forward to adopting my answer. Thank you very much ~