have (problems) with与 have (problem) with哪个正确,为什么在书上看到have some (problem) with为个固定词组，problem要加S吗？

N-COUNT问题；难题；困难
problem可数，所以have some (problem) with要加s。
have (problems) with 或者have (a problems) with
The main problem is unemployment...
主要的问题是失业。
He was thinking about a math problem.
他正在思考一道数学题。
With mathematical problems, you can save time by approximating.
对于数学题，可以用取近似值的办法节约时间。

have problems with 在……有问题该词组为固定搭配,由于problem为普通可数名词,故需加s. 如：Early in his life Degas began to have problems with eyesight.德加在早年的生涯中视力开始出现问题.Another may...