Her plans have won the support of many local people.

won 是动词 win 的过去分词形式，win 的意思是"赢得、获得"。 support 是名词，意思是"支持、拥护"，指对某人或某事的赞同和帮助。 won the support 表示"赢得了支持"，指通过努力或说服使他人赞同自己的计划或想法。