想说“诉诸某人以解决问题”,是resort to doing from sb还是什么?

想说“诉诸某人以解决问题”,是resort to doing from sb还是什么? 建议某人做某事是suggest sb. to do sth还是suggest sb. doing sth 允许某人做某事:是allow Sb.to do还是allow Sb.do还是allow Sb.doing? 建议某人做某事是suggest sb.doing 还是to do 影响某人做某事是“influence sb to do还是doing? prevent sb to do sth / prevent sb from doing sth 阻止某人做某事 这两个 想像某人做某事是“imagine sb doing sth”还是“imagine sb‘s’ doing sth”? 是attract sb to do还是attract sb to doing? 问候某人是greet sb还是greet to sb leave sb doing sth是使某人保持什么状态. 请问是believe sb.doing 还是believe sb to do? 是suggest sb to do 还是 suggest sb doing?