The next day: Take Metro Line 4 in the morning and get off at the east gate of Renmin University, Tsinghua and Peking University. If you have time in the afternoon, you can visit the Summer Palace or Yuanmingyuan. It's more beautiful to go directly to the Bird's Nest Water Cube in the Olympic Park by subway at night.
On the third morning, take the 9 19 bus directly to Deshengmen, Badaling and Badaling Great Wall, which takes about 60-70 minutes. Personally, I suggest that the Great Wall go early and come back at noon. In the afternoon, you can see Gong Wangfu behind the Forbidden City, and then you can go to Xidan or Wangfujing in the evening.