我們證明9-13以外是不可能的， 但9-13的部分只能給出部分結論。 ;It is known that obtaining maximum k-distance sets has been an interesting problem in discrete geometry. Even a seemingly not-difficult problem like the maximum cardinality of 7-distance set in R^2 is yet to be found. In this thesis we provide some partial results for this problem. Erdös and Fishburn [1] showed the 16-point 7-distance sets, but did not prove that 16 is the maximum. We observe whether there is any 17-point 7-distance set in R^2 based on the cardinality of X_D, where 2≤|X_D |≤17. We follow the method used in Wei [2] for this observation. We can only provide partial results for 9≤|X_D |≤13, but for the other parts, we prove that there is no 17-point 7-distance set with that value of |X_D |.
