Therefore, the meet point of angle bisector of angle BAC and the perpendicular bisector of BC can't be inside of triangle ABC.
回複:如果我告訴大家,上述答案中有且僅有一個是正確的,是哪個呢?:)
Draw a circumcircle of triangle ABC with the circumcenter O. Obvious, O is on the line of the perpendicular bisector of BC, which passes the circumcircle at O'. Connect AO'. Since arc BO'=arc CO', angle BAO'= angle O'AC.
Therefore, the meet point of angle bisector of angle BAC and the perpendicular bisector of BC can't be inside of triangle ABC.
Therefore, the meet point of angle bisector of angle BAC and the perpendicular bisector of BC can't be inside of triangle ABC.