Loopback auto create API function, but I can't not see pagination of Model with thousand record. Please add this feature.
You should look into the limit and skip filters.
E.g.
/api/Test?filter[limit]=10&filter[skip]=0
/api/Test?filter[limit]=10&filter[skip]=10
/api/Test?filter[limit]=10&filter[skip]=20
That would be 3 pages, each with 10 records.
There's actually a pagination example on the skip filter documentation page I linked above.
For future refence here's an official blog post.
https://strongloop.com/strongblog/working-with-pagination-and-loopback/