體育館的英文全稱是"Gymnasium"，源自古希臘語“gymnos”意為“裸體”，因為古代的體育館是供人們進行體育活動和競技的地方，這個詞在英語中被廣泛使用，不僅用于指代體育設施，還泛指任何提供鍛煉、健身或運動活動的場所。

體育館的全稱是 "Sports and Fitness Center" 或 "Physical Education and Recreation Center".

1. What is the full name of the sports center where I went to play basketball last weekend?
2. Could you please tell me what the official name of that indoor stadium is?
3. Is there a specific name for the fitness center in my city, or is it just referred to as a gym?
4. How would you describe the physical education facility where I participated in a soccer match?
5. Can you provide more information about the sports complex that houses the swimming pools and tennis courts?

回答：

The full name of the sports center where I went to play basketball last weekend is "Sports and Fitness Center". This term is commonly used to refer to facilities that offer a range of activities for both athletes and fitness enthusiasts. The official name of that indoor stadium can vary depending on the location and purpose of the building. In some cases, it may be referred to simply as a "gym", while in others, it might have additional features such as swimming pools or tennis courts. As for the physical education facility where I participated in a soccer match, it is also known as a "sports center" or "fitness center." These centers typically offer a variety of activities for individuals who are interested in improving their physical health and fitness levels.