MySql在更新，插入和删除时触发

there is a way to intercept a new entry record in a table, and insert some value of this fields in another table ? And, again, how can set the relationship to cascade, so that if I delete a record in master table, those record it's deleted even in triggered table? May we explain by examples/resorce? Thank's in advance...there is a way to intercept a new entry record