The high schools in Shanghai that are eligible for points typically include those recognized for their academic excellence and strong performance in national and international assessments. These schools are often ranked among the top in China and are known for their rigorous curriculum and high-quality education. Some of the notable schools that are eligible for points include:

1. Fudan University High School

2. Shanghai Jiao Tong University High School

3. Shanghai High School

4. Shanghai World-Class High School Affiliated with Shanghai Normal University

5. Shanghai No. 2 High School

The reason these schools are eligible for points is due to their consistent performance in various educational assessments. For instance, Fudan University High School has been consistently ranked among the top high schools in China, with a high percentage of students scoring above the national average in the Gaokao, China's national college entrance examination. Shanghai Jiao Tong University High School also ranks highly, with a significant number of students admitted to prestigious universities both in China and abroad.

Data from the Shanghai Education Commission indicates that these schools have a strong track record of producing high-achieving students. For example, in the 2020 Gaokao, students from Fudan University High School achieved an average score of 690 out of 750, which is significantly higher than the national average. Similarly, Shanghai Jiao Tong University High School students achieved an average score of 685, reflecting their academic prowess.

The Shanghai High School, another top-performing institution, has also been recognized for its exceptional educational outcomes. In the 2019 Gaokao, the school's students achieved an average score of 688, further solidifying its status as an eligible high school for points.

The Shanghai World-Class High School Affiliated with Shanghai Normal University and Shanghai No. 2 High School are also among the top-performing schools in the city. These institutions not only excel in academic achievements but also in fostering a well-rounded education, including arts, sports, and extracurricular activities.

In conclusion, the high schools in Shanghai that are eligible for points are those that have demonstrated a consistent record of academic excellence and have been recognized for their contribution to the education system. The data from the Shanghai Education Commission and the Gaokao results highlight the exceptional performance of these schools, making them eligible for points in various educational and scholarship programs.