Currently, 4,000 yuan is a threshold for laptop prices. It is recommended that you consider a laptop priced around 4,000 yuan or above. Too many laptops priced below 4,000 yuan are more likely to cause problems. If you bargain, It's another matter if you have great kung fu.
I would like to recommend two Dell laptops to you. Dell’s cost performance and after-sales service are basically recognized as the best by most people in the industry:
Dell Inspiron 14R (Ins14RD-458)
Intel Core i5 480M 2.6GHz/dual-core four-thread/4GB/500GB 7200 rpm/DVD burning/14"/16:9/1366×768/LED backlight/mid-to-high-end independent display HD5650 1GB
Close to the current highest configuration of notebooks, it can be purchased for less than 4800, which is very cost-effective! It is a little far from your price, but you can give it a try, maybe the price has dropped now.
There are cheaper ones. :
Dell Inspiron 14R (Ins14RD-448)
Intel Core i3 380M 2.53GHz/2GB/500GB 7200 rpm, SATA/DVD burner/14"/16:9 /1366×768/LED backlight/mid-to-high-end independent graphics card HD 5650 1G
The price of this product meets your requirements. The online price is 4,100 yuan, which is just a reference price. I estimate that it can be done for less than 4,000 yuan.