抛物线 y = ax² + bx + c 的对成轴是 x = -b/2a
所以 -2m/[2(m²-2)] = 1
m² + m - 2 = 0
(m - 1)(m + 2) = 0
m = 1 或 m = -2
当 m = 1 时 ,m² - 2 = -1 < 0 满足开口向下
当 m = -2 时 ,m² - 2 = 2 > 0 不满足开口向下 ,所以舍去
所以 m = 1
所以 y = -x² + 2x + 1
抛物线 y = ax² + bx + c 的对成轴是 x = -b/2a
所以 -2m/[2(m²-2)] = 1
m² + m - 2 = 0
(m - 1)(m + 2) = 0
m = 1 或 m = -2
当 m = 1 时 ,m² - 2 = -1 < 0 满足开口向下
当 m = -2 时 ,m² - 2 = 2 > 0 不满足开口向下 ,所以舍去
所以 m = 1
所以 y = -x² + 2x + 1