(1) verification: m > 0;;
(2) If b≥ 1, verify M < 1.
It is proved that: (1) from the known y=(x-x 1)(x-x2), substitute C(2, m) into y=(x-x 1)(x-x2) and get m = (2-x/klx2). 0, (2-x2)>0, so m>0.
(2) The relationship between root and coefficient is known as x 1x2 = b and m = (2-x 1) (2-x2), so BM = x1x2 (2-x1) =/.
(1-(x1-1) 2) (1-(x2-1) 2), because? (1-(x 1- 1) 2) is greater than 0, less than or equal to 1, (1-(x2- 1) 2) is greater than.
0, less than or equal to 1, but not at the same time 1, so
(1-(x1-1) 2) is less than1because b≥ 1,
So m < 1